UpStudy Homework Questions and Solutions
Latest Questions
-
Q:
(b) \( 64^{\frac{1}{3}} \)
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Q:
(b) \( \sqrt[4]{16}=16^{\frac{1}{4}} \)
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Q:
If \( a=b \), show that \( a b c=b a c \)
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Q:
Una valla cuyo perimetro tiene forma triangular mide 20 metros en su lads
mayor, 6 metros en otro y \( 60^{\circ} \) en el ángulo que forman entre ambos. Calcula
cuánto mide el perimetro de la valla.
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Q:
Alvin and Bala had \( (26 \) stickers. Alvin had \( (8) \) more stickers than Bala. How many
stickers did Bala have?
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Q:
Incorrect
Itry left. Try once more
\( \frac{3}{12} \) feet)
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Q:
V. CHALLENGE. Directions: Graph the rational function and find it's a) domain and range, b) \( x \) and
\( y \)-intercepts, and c) horizontal and vertical asymptotes. (20 points)
\( f(x)=\frac{x^{2}-3 x-4}{x+1} \)
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Q:
Tres amigos se sitúan en un campo de fútbol. Entre Alberto y Berto hay 25
metros, y entre Berto y Camilo, 12 metros. El ángulo formado en la esquina
de Camilo es de \( 20^{\circ} \). Calcula la distancia entre Alberto y Camilo.
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Q:
Alin and eala had 26 stickers. Whin had 8 more stickers than Bala. How many
stickers did Bala have?
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Q:
5. Tres amigos se sitúan en un campo de fútbol. Entre Alberto y Berto hay 25
metros, y entre Berto y Camilo, 12 metros. El ángulo formado en la esquina
de Camilo es de \( 20^{\circ} \). Calcula la distancia entre Alberto y Camilo.
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Q:
4 Resslva a equaplo ueando a fímula resolvenle
a) \( 5 x^{3}-4 x+2=0 \)
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Q:
Mrs Tham bought \( z \) bottles of oil at \( \$ 7 \) each. She gave the cashier \( \$ 50 \).
(a) Find the change Mrs Tham received in terms of \( z \).
(b) If \( z=3 \), how much change did Mrs Tham receive?
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Q:
Mi hermano se ha comido \( 3 / 8 \) de la tarta y yo \( 1 / 8 \)
Si han sobrado 240 gramos. ¿Cuánto pesaba la tart
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Q:
Evaluate using partial fraction
\( I=\int_{1}^{\infty} \frac{x-1}{(x+1)\left(x^{2}+1\right)} d x \)
A. \( \ln \frac{2}{\sqrt{2}} \)
B. None of the options
C. \( \ln \frac{2}{\sqrt{2}}+1 \)
D. \( \ln \frac{1}{\sqrt{2}} \)
E. \( \ln \sqrt{2} \)
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Q:
Mis Tham bought z botlles of oil at \( \$ 7 \) each. She gave the cashier \( \$ 50 \)
(a) Find the change Mrs Tham recelved in terms of \( z \).
(b) \( 11 z=3 \), how much change did Mrs Tham receive?
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Q:
FMU
Question 3
Use the exponent rules to calculate the value of \( \left(\frac{144}{9}\right)^{\frac{1}{2}} \) (without calculator)
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Q:
Evaluate using partial fractions
\( I=\int_{1}^{\infty} \frac{x-1}{(x+1)\left(x^{2}+1\right)} d x \)
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Q:
1. Calcile o birimio Giscriminarte
a) \( x^{2}+3+2 x=0 \)
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Q:
\( \lim _{x \rightarrow 0} \frac{\sqrt{a x+b}-2}{x}=1 \)
find \( a \) and \( b \)
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Q:
Ann has 3 kg of flour. She buys 2 more packets of flour, each of mass \( m \mathrm{~kg} \).
(a) Find the amount of flour Ann has altogether in terms of \( m \).
(b) If \( m=2 \), how much flour does Ann have altogether?
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24. \( \begin{array}{r}7 x_{1}-2 x_{2}=3 \\ 3 x_{1}+x_{2}=5\end{array} \)
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4. Desde lo alto de un globo se observa un pueblo A con un ángulo de \( 50^{\circ} \), y
otro B , situado al otro lado y en línea recta, con un ángulo de \( 60^{\circ} \). Sabiendo
que el globo se encuentra a una distancia de 6 kilómetros del pueblo A y a 4
del pueblo B, calcula la distancia entre los pueblos A y B.
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Q:
29 Calson sold 8 teddy bears and 8 toy horses for \( \$ 72 \).
One teddy bear and one toy horse cost \( \$ 9 \).
He made \( \$ 24 \) more from selling the teddy bears than from selling the
toy horses.
What is the cost of one teddy bear?
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Q:
j) \( \left(-1 \frac{1}{4}\right)^{6} \cdot\left(-\frac{2}{5}\right)^{6} \)
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Q:
24. \( \begin{array}{l}7 x_{1}-2 x_{2}=3 \\ 3 x_{1}+x_{2}=5\end{array} \)
-
Q:
2- En un restaurante preparan 500 pasteles de chocolate. De estos
sirven \( 4 / 10 \) en una boda y otros \( 2 / 10 \) en una comunión. ¿Cuánto
pasteles sobran?
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Q:
ii) \( a+b=3 \) and \( a b=20 \).
-
Q:
Evaluate using partial fractions
\( I=\int_{1}^{\infty} \frac{x-1}{(x+1)\left(x^{2}+1\right)} d x \)
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Q:
a Draw the rectangle with vertices at \( A(-1,3), B(2,3), C(2,-3) \)
and \( D(-1,-3) \).
b Write down the name of the straight line through \( A \) and \( B \).
c Write down the coordinates of two more points on the line
through \( A \) and \( B \).
d Write down the name of the straight line through \( A \) and \( D \).
e Write down the equation of the straight line through \( C \) and \( D \).
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Q:
In New Zealand, approximately 2400 tonnes
of blue cod are harvested each year.
The average mass of a blue cod is 800 g .
Approximately how many blue cod are
harvested each year?
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Q:
phove that \( \sqrt{2} \) \iebetween 14 aed
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Q:
BASE -3
PERIME
ANTO
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Q:
b) \( -3 / 4 \)
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Q:
A rectangular prism has
faces.
Write the number)
Check
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Q:
o izmed stovil 1, 2, 3 ..., 19, 20 zapišemo na svoj listek. Nato
av naključno izvločomo on listek. Izračunaj verjetnost dogod
a) Dogodek A: Izvločomo listek s številko 9.
b) Dogodek B: Izvločemo listek s sodim številom.
c) Dogodek C: Izvlečemo listek s številom, ki je večkratnik
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Q:
(b) Simpiify \( \frac{d+2}{e-d} \times \frac{d^{2}-2 d e+e^{2}}{d^{2}+2 d-d e-2 e} \)
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Q:
A tetrahedron has 4 triangular faces
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Q:
1. What is \( 15 \% \) of 300 ?
2. What percent of 72 is 36 ?
3. If \( 45 \% \) of a number is 28 , what is the number?
4. What is the percent increase from 50 to 60 ?
5. What is the percent decrease from 100 to 80 ?
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Q:
The expression \( -8 a x y+\frac{7 a^{2} y}{5} \) can be written in the form \( \frac{h a y}{5}(7 a+k x) \).
Find the values of \( h \) and \( k \).
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Q:
Wamo. \( A B C D \) - nawd, \( A C B=35^{\circ} \)
C Haliz. \( \angle A O B, \angle B O B C \)
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Q:
(b) Simplify \( \frac{d+2}{e-d} \times \frac{d^{2}-2 d e+e^{2}}{d^{2}+2 d-d e-2 e} \)
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c. Proof that, if a function \( f(x) \) has a power series representation centered at \( x=a \)
that converges to \( f(x) \) on some open interval containing \( a \), then this power series a
Taylor series for \( f(x) \) at \( x=a \).
[S]
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Q:
3) \( \frac{1,2}{6} \)
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Q:
Damo. \( A B C D \) - ramo, \( A C B=35^{\circ} \)
Halim. \( \angle A O B, \angle B O B C \)
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Q:
Rakamları farklı ve çift olan üç basamaklı en
küçük pozitif,tam sayı rakamlarıfarklı jki ba-
samaklı en küçük pozitif tek sayıdan kaç faz-
ladır?
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Q:
Round off nearest thousand
840 km
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Q:
4) \( x^{2}+\ln (x+y)=1: \)
\( \begin{array}{llll}\text { (A) }-2(x+y) & \text { (B) }-2 x(x+y) & \text { (C) }-2 x^{2}-2 y-1 & \text { (D) }-2 x(x+y)-1\end{array} \)
-
Q:
Обчислити: \( 3,8+(-2,5) \)
6,3
1,3
\( -1,3 \)
-
Q:
\( = 3 _ { 3 } ^ { 1 } ( 3 - 2 x ) = 10 ( x - \frac { 1 } { 2 } ) \)
-
Q:
\( 7(a-3)= \)
Оберіть відповідь, в якій вірно застосована розподільна властивість множення
\( 7 \mathrm{a}-3 \)
\( 7 a \cdot 21 \)
а-3
відповіоти
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Q:
10 A talula a suguir lista os salários a o nivel de escolaridade de deg um
cionnaves de derminada paltrica.
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Q:
Серед запропонованих виразів оберіть цілі.
Оберіть всі можливі варіанти
\( \square a^{2}-b \)
\( \square \frac{1}{3} x^{3}+5 b \)
\( \square \frac{1}{z}+\frac{1}{y} \)
\( \square \frac{1}{4} a \)
\( \square \frac{1+b}{a-3} \)
\( \square \)
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Q:
c A triathlon bike wheel rotates through \( 1800^{\circ} \) every 10 m . How many full rotations
is this?
-
Q:
Write \( 38 \% \) as a decimal
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Q:
\( \left\{\begin{array}{l}2 x+3 y=7 \\ 3 x+4 y=10\end{array} \cdots\right. \) (1)
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Q:
Обчислити значення виразу \( (4 c-20)(c+3) \), якщо с = \( =0,5 \)
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Формула для визначення периметра прямокутника має вигляд \( P=2(a+b) \). Це вираз...
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Q:
7. Rajah di sebelah me
The diagram shows
\( y_{2}=3(x-1)^{2}+k- \)
ms. \( y_{1}=x^{2}+2 x+h x+ \)
yang bertemu pada
(a) nilai \( h \) dan nilai
the value of \( h a \)
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Q:
20. What is the value of \( x \) in \( \frac{5 x}{6}-\frac{1}{2}=\frac{1}{3} ? \)
-
Q:
1. A car is traveling down a highway at a constant speed, described by the equation
\( d=65 t \), where \( d \) represents the distance, in miles, that the car travels at this speed
in \( t \) hours.
a. What does the 65 tell us in this situation?
b. How many miles does the car travel in 1.5 hours?
c. How long does it take the car to travel 26 miles at this speed?
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Q:
3juan esta con fieb re y deben
tomarte la temperatura cada 4 h
durante un dia represente en ca recta
numaica y exprese su intervalo
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Q:
7) \( \sqrt[12]{64^{8}}= \)
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6. If \( f(x)=x^{2}-3 x+8 \), what is the value of \( f(x) \) when \( x=2 \)
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Q:
What is the equation of the line perpendicular to the line with equ ation \( 7 x+2 y=14 \) and passing through \( (7,-6) 7 \)
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Q:
Cut Copy Dopy Text Alt roxt...
14. It is given that \( y \) is inversely proportional to square root of \( x \). It is known that \( y=b \) for a
particular value of \( x \). Find the percentage change in \( x \) when \( y \) is doubled.
[CGS/15/EOY/AQQ] Ans: \( -75 \% \) or \( 75 \% \) docrease
15. \( \quad \) is inversely proportional to \( r^{\prime \prime} \) where \( n \) is a positive integer. The table below
shows some values of \( r \) and the corresponding values of \( F \).
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Q:
5. Your mother wants to donate bond paper to your school. She then asked you to help her compute
reams of bond paper can she buy for \( \left(6 x^{4}-17 x^{3}+24 x^{2}-34 x+24\right) \) pesos if one ream of bond pap
\( (3 x-4) \) pesos?
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Q:
\( \frac { n - 1 ) ! + ( n + 1 ) ! } { n ^ { \prime } } \)
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Q:
5. On a map of Chicago, 1 cm represents 100 m . Select all statements that express
the same scale.
a. 5 cm on the map represents 50 m in Chicago.
b. 1 mm on the map represents 10 m in Chicago.
c. 1 km in Chicago is represented by 10 cm the map.
d. 100 cm in Chicago is represented by 1 m on the map.
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Q:
5. What is the value of \( x \) of the rational equation \( \frac{8 x}{6}-\frac{1}{2}=\frac{1}{3} \)
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Q:
c. Proof that, if a function \( f(x) \) has a power series representation centered at \( x=a \)
that converges to \( f(x) \) on some open interval containing \( a \), then this power series a
Taylor series for \( f(x) \) at \( x=a \).
-
Q:
1) \( \left(\sqrt[3]{\frac{1}{3}}\right)^{x+6}>\frac{1}{9} \)
-
Q:
\( \left. \begin{array} { l } { 420 fm \cdot Mg / s ^ { 2 } = \ldots \ldots km \cdot mg / mnt ^ { 2 } } \\ { 0 \cdot 0,685 kg / m ^ { 3 } = \cdots g / mm ^ { 3 } } \end{array} \right. \)
-
Q:
Calule la razón de cambio instantánea \( \lim _{x \rightarrow x_{0}} \frac{f(x)-f\left(x_{0}\right)}{x-x_{0}} \),
si \( f(x)=\cos (x) \), y \( x_{0}=\frac{11 \pi}{6} \)
\( \lim _{x \rightarrow x_{0}} \frac{f(x)-f\left(x_{0}\right)}{x-x_{0}}= \)
-
Q:
2 María carre todos los dias de las
horas Represente en la recta nex
y exprese suintenalo solucion:
-
Q:
\( -3\times ^{2}+x=0 \)
-
Q:
What is the mass, in g , of the
heaviest grocery bag?
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Q:
\( 8.0 ; 375 \mathrm{~g} / \mathrm{cm}^{3}=\ldots \mathrm{Mg} / \mathrm{nm}^{3} 3,75 x \)
9. \( 420 \mathrm{fm} . \mathrm{Mg}^{2} / \mathrm{s}^{2}=\ldots . \mathrm{Mm} . \mathrm{mg} / \mathrm{mnt}^{2} \)
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Q:
What is the smallest power of 10 that would exceed \( 907,654,321,656,765 \),
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Q:
Question 6
In order to bake cakes for the school fair, I buy 180 kg
of flour at \( \$ 0.84 \) per kg and 25 kg of sugar at \( \$ 1.17 \)
per kg . How much money have I spent?
-
Q:
Calule la razón de cambio instantánea \( \lim _{x \rightarrow x_{0}} \frac{f(x)-f\left(x_{0}\right)}{x-x_{0}} \),
si \( f(x)=\operatorname{sen}(x), y x_{0}=\frac{1 \pi}{2} \).
\( \lim _{x \rightarrow x_{0}} \frac{f(x)-f\left(x_{0}\right)}{x-x_{0}}=\square \)
-
Q:
Lultiply Simplify the produs
\( \frac{3}{4} \times \frac{2}{3}= \)
\( \frac{7}{8} \times \frac{7}{14}= \)
\( 2 \frac{1}{4} \times \frac{7}{3}= \)
\( 1 \frac{5}{8} \times \frac{4}{6}= \)
-
Q:
1. Find the map scale of the following:
a 2 cm on the map represents 1 km on land.
-
Q:
Question 7
I load 450 bags of salt onto my lorry, each having mass 0.15 kg . Find the total mass of
all bags.
-
Q:
3. A store sells rope by the meter. The equation \( p=0.8 L \) represents the price \( p \) (in
dollars) of a piece of nylon rope that is \( L \) meters long.
a. How much does the nylon rope cost per meter?
b. How long is a piece of nylon rope that costs \( \$ 1.00 \) ?
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Q:
Q5. The curve \( C \) has equation
\[ y=9-4 x-\frac{8}{x}, \quad x>0 \]
The point \( P \) on \( C \) has \( x \)-coordinate equal to 2 .
(a) Show that the equation of the tangent to \( C \) at the point \( P \) is \( y=1-2 x \).
(b) Find an equation of the normal to \( C \) at the point \( P \).
The tangent at \( P \) meets the \( x \)-axis at \( A \) and the normal at \( P \) meets the \( x \)-axis at \( B \).
(c) Find the area of triangle \( A P B \).
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Q:
№2. Округлите:
a) до тысяч: 31902873 ;
б) до сотен тысяч: 186276501 ;
в) до миллионов: 99857318.
-
Q:
Question 3
How much change would you expect from a \( \$ 20 \) note if you purchased articles costing
\( \$ 8.63, \$ 5.09 \) and \( \$ 4.73 \) ?
-
Q:
If \( x=1 \) and \( y=6 \) is a solution of the equation \( 8 x-k y+k^{2}=0 \), find the value of \( k \).
-
Q:
Waluate \( \frac{10}{\sqrt{2}} \) and \( \frac{6}{\sqrt{3}} \) carrec
- \( 382 f \)
-
Q:
Problem 4
Quadrilateral \( A \) has side lengths \( 2,3,5 \), and 6 . Quadrilateral \( B \) has side lengths \( 4,5,8 \), and
10. Could one of the quadrilaterals be a scaled copy of the other? Explain.
-
Q:
If \( a \sin ^{2} x+b \cos ^{2} x=c, \quad b \sin ^{2} y+a \cos ^{2} y=d \) and
\( a \tan x=b \tan y \), then \( \frac{a^{2}}{b^{2}} \) is equal to
-
Q:
It is given that \( y \) is directly proportional to \( (x-1)^{3} \) and \( y=20 \) when \( x=3 \).
(i) Write down a formula connecting \( y \) and \( x \).
(ii) Find the value of \( x \) when \( y=0.406 \), giving your answer to one decimal place.
-
Q:
Question 2
A weightlifter snatches \( 135.8 \mathrm{~kg}, 142.9 \mathrm{~kg} \), and 153.7 kg
in consecutive lifts. Find the total mass lifted.
-
Q:
11. (a) It is given that \( y \) is directly proportional to \( (x-1)^{4} \) and \( y=20 \) when \( x=3 \).
(i) Write down a formula connecting \( y \) and \( x \).
(ii) Find the value of \( x \) when \( y=0.406 \), giving your answer to one decimal place. [2]
-
Q:
a \( \mathrm{m} \mathrm{92,5}=\mathrm{dm} 9,25 \)
c \( \mathrm{m}^{3} 0,0032=\mathrm{cm}^{3} 3.200 \)
-
Q:
2. Concrete building blocks weigh 28 pounds each. Using \( b \) for the number of
concrete blocks and \( w \) for the weight, write two equations that relate the two
variables. One equation should begin with \( w= \) and the other should begin with \( b= \).
-
Q:
The points \( A \) and \( B \) have coordinates \( (-2,11) \) and \( (8,1) \) respectively.
Given that \( A B \) is a diameter of the circle \( C \)
(a) show that the centre of \( C \) has coordinates \( (3,6) \),
(b) find an equation for \( C \).
(c) Verify that the point \( (10,7) \) lies on \( C \).
(d) Find an equation of the tangent to \( C \) at the point \( (10,7) \), giving your answer in the form \( y= \)
\( m x+c \), where \( m \) and \( c \) are constants.
-
Q:
equation \( y=2 x-5 \) and passing through \( (8,-3) ? \)
-
Q:
Convert the fraction \(\frac{7}{9}\) to a decimal.
-
Q:
Question 1
A 20 m length of rope is cut into 4 pieces. Three of the
pieces have lengths \( 5.62 \mathrm{~m}, 8.05 \mathrm{~m} \), and 2.6 m . Find the
length of the fourth piece.
-
Q:
Evaluate (a) \( \int\left(x^{2}+10\right)^{50} 2 x d x \)
-
Q:
\( 3 ( 5 - 3 x - 3 ( 5 + x ) = 3 [ x + 1 ) \)
-
Q:
Convert the equation \(4x - 2y = 8\) into slope-intercept form.
-
Q:
8. Se obtiene 5 gramos de dióxido de carbono en un volumen
final de 40 ml a una temperatura de \( 50^{\circ} \mathrm{C} \), las condiciones
iniciales son 10 ml ¿cuál es la temperatura que comenzó a
reaccionar el carbonato de calcio con el ácido clorhídrico?
\( \mathrm{CaCO}_{3}+2 \mathrm{HCl} \)-------- \( \mathrm{CaCl}_{2}+\mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O} \)
-
Q:
What force is required to give a mass of 40 kg
(a) acceleration of \( 3 \mathrm{~m} / \mathrm{s}^{2} \)
(b) speed of \( 48 \mathrm{~km} / \mathrm{h} \) within 1 sec
(c) speed of \( 75 \mathrm{~m} / \mathrm{s} \) within 5 sec
(d) distance of 55 m within 8 sec
-
Q:
(a) Solve the following equation for \( p: \frac{p^{2}}{4}=25 \)
-
Q:
प्रश्नावलीं 4.2
दो परिमेय संख्याओं का योग -5 है। यदि एक संख्या \( \left(\frac{-7}{4}\right) \) है, तो दूसरी संख्या ज्ञात की
-
Q:
b. \( 89+(76-43) \)
e. \( 78+4 \cdot(65-43) \)
h. \( 3(56-76)-5(32+76) \)
j. \( (76-456) \cdot 4+3(76+98 \)
l. \( (67-32): 7-(98+65) \)
n. \( 76-(65-43) \)
-
Q:
\( \lim _ { \pi / 4 } \frac { 1 - \sqrt { 2 } \cos x } { 4 x - \pi } \)
-
Q:
FMU
Question 3
Use the exponent rules to calculate the value of \( \left(\frac{144}{9}\right)^{\frac{1}{2}} \) (without calculator).
-
Q:
FMU
Question 4 (continued)
(b) Solve the following equation for \( m: m=\frac{\sqrt[2]{m^{4} p^{2}}}{q} \)
-
Q:
From Whakatāne she drove 85 km to Rotorua. The trip took her 1 hour and
15 minutes.
Calculate her average speed.
-
Q:
ЛОМаШНЕе ЗаДаНИе
о1. Витя говорит: «Если округлить до десятков мои карманные деньги в месяц, то получится 22
ублей». «У меня получается столько же», - ответил Петя. Найдите наибольшую возможную
мму денег, на которую могут отличаться карманные деньги мальчиков?
-
Q:
a. \( 34+(345+89) \)
d. \( 4 \cdot(98-54) \)
g. \( 65-4 \cdot(82-32) \)
i. \( (67+87)-(45+7) \)
k. \( (12+36): 12+3 \cdot(-8+7) \)
m. \( 34-8 \cdot(54+24) \)
-
Q:
(115) Ify \( =\ln 4 t \) and \( x=\ln (2 t+1) \), the \( \frac{d^{2} y}{d x^{2}}=\cdots \) at \( t=1 \)
\( \begin{array}{llll}\text { a) }-\frac{4}{3} & \text { b) }-\frac{3}{4} & \text { c) }-4 & \text { d) }-\frac{1}{2}\end{array} \)
-
Q:
What is the sum of the given
summation notation below?
\( S=\sum_{x=1}^{3}(-7 x+9)^{3}-\left(9 x-x^{3}\right) \)
-
Q:
a. \( 5405+342 \)
d. \( 678-79 \)
g. \( 34 \cdot 6 \)
j. \( 75: 12 \)
-
Q:
5. Si \( \operatorname{Sen} 2 x=\frac{2}{3} \)
\( \begin{array}{lll}\text { Calcula: } E=\operatorname{Sen}^{4} x+\operatorname{Cos}^{4} x & \text { c) }-2 / 9 & \text { e) } 5 / 9 \\ \text { a) } 4 / 9 & \text { d) } 1 / 9 & \end{array} \)
-
Q:
What is the sum of the given
summation notation below?
-
Q:
5.3 How to minimize the effect of possible threats:
-
Q:
Solve the following equation for \( p: 9 p^{2}-5=6 p^{2}+4 \)
-
Q:
Yкажіть enemertu вenusoro nepiozy
-
Q:
\( \left\{ \left. \begin{array} { l } { 3 x - y = - 10 } \\ { x ^ { 2 } + y = 10 } \end{array} \right. \Rightarrow \right. \)
-
Q:
5.2 How to take advantage of opportunities:
-
Q:
2) \( 5 \sin 90^{\circ}-7 \cos 0^{\circ} \)
-
Q:
The direct approach is best used when:
A. your audience will be sceptical
B. when your audience will be hostle
C. your audience will be resistant to your message
D. your audience will be receptive to your message
-
Q:
Conclusion based on the SWOT-analysis:
Based on your SWOT analysis, give an example of what you could do to minimize the
weaknesses and threats and what you can do to take advantage of the opportunities;
5.1 How to minimize weaknesses:
-
Q:
1) \( 3 \sin 0^{\circ}+4 \cos 180^{\circ} \)
-
Q:
Из одного села в одном направлении одновременно выехали два
тосипедиста. Один из них ехал со скоростью 12 км/ч, а второй
9 км/ч. Какое расстояние будет между ними через 6 ч после начв
движения?
С одной станции в противоположных направлениях одновременно
отправились два поезда. Один из них двигался со скоростью
64 км/ч, а второй -57 км/ч. Какое расстояние будет между ними
через 9 ч после начала движения?
-
Q:
\begin{tabular}{l} Based on your SWOT analysis, give an example of what you could do to minimize the \\ weaknesses and threats and what you can do to take advantage of the opportunities; \\ 5.1 How to minimize weaknesses: \\ 5.2 How to take advantage of opportunities: \\ \hline 5.3 How to minimize the effect of possible threats: \end{tabular}
-
Q:
3) \( \operatorname{tg}\left(180^{\circ}-\alpha\right) \), якщо \( \operatorname{tg} \alpha=8 \) ?
-
Q:
Из одного села в одном направлении одновременно выехали два
тосипедиста. Один из них ехал со скоростью 12 км/ч, а второй
9 км/ч. Какое расстояние будет между ними через 6 ч после начв
движения?
С одной станции в противоположных направлениях одновременно
отправились два поезда. Один из них двигался со скоростью
64 км/ч, а второй -57 км/ч. Какое расстояние будет между ними
через 9 ч после начала движения?
-
Q:
Convert the equation \(4x - 2y = 8\) into slope-intercept form.
-
Q:
1- Uma banca de jornats vende 350 jomais por dia, de segunda-teira a
sabado. Quantos jornais são vendidos nesse periodo de termpo?
2- Para "corrida de colher, os alunos formaram 13 grupos com 15 colheres
em cada grupo. Ao todo, quantas colheres toram usadas na brincadeira?
3- Em uma caixa há 36 clipes. Em 100 caixas iguais a essa teremos
quantos clipes?
4- Em uma escola há 12 turmas de \( 4^{a} \) ano. Em cada turma foram
colocados 27 alunos. Quantos alunos estudam na \( 4^{\circ} \) ano dessa escola?
5- Se uma pessoa comprar um aparelho eletrônico em 5 prestaçōes
mensais de Rs 304,00 quanto pagará por esse aparelho?
6- Rodrigo comprou material escolar gastando 177 reais. Para o
pagamento deu 4 notas de 50 reais. Quanto tem de receber de troco?
7. Dois primos andam juntos de onibus diariamente 3.591 metros para ir
até a escola. Quantos metros andarão em 13 dias?
8- Em uma estufa foram agrupadas 1678 espécies de orquideas, sendo
gas amarelas e as outras brancas. Quantas sáo brancas?
-
Q:
36. Broj stanovnika nekog grada povećao se za godj.
nu dana od 10500 na 11250 . Izrazi u postotcima
to povećanje.
-
Q:
Из одного села в одном направлении одновременно выехали два
тосипедиста. Один из них ехал со скоростью 12 км/ч, а второй
9 км/ч. Какое расстояние будет между ними через 6 ч после начв
движения?
С одной станции в противоположных направлениях одновременно
отправились два поезда. Один из них двигался со скоростью
64 км/ч, а второй -57 км/ч. Какое расстояние будет между ними
через 9 ч после начала движения?
-
Q:
1. Here are the first two terms of some different arithmetic sequences:
-
Q:
2) \( \cos \left(180^{\circ}-\alpha\right) \), якщо \( \cos \alpha=-0,1 \)
-
Q:
rXY
-
Q:
1) \( \sin \left(180^{\circ}-\alpha\right) \), якщо \( \sin \alpha=\frac{1}{4} \)
-
Q:
\( ( \frac { \cos \beta } { \sin \alpha } + \frac { \sin \beta } { \cos \alpha } ) \cdot \frac { 1 - \cos 4 \alpha } { \cos ( \pi - \beta + \alpha ) } \)
-
Q:
\( | \left. \begin{array} { c c c | c } { 3 } & { 2 } & { - 1 } \\ { 1 } & { 2 } & { 9 } & { 0 } \\ { 1 } & { 1 } & { 2 } & { 0 } \end{array} \right. \)
-
Q:
27. U nekoj školi \( 55 \% \) svih učenika su djevojčice.
Ostalo su dječaci i njih je za 60 manje nego dje-
vojčica. Koliko je učenika u toj školi?
-
Q:
los estodian too hicieron soo tareas
-
Q:
5. SWOT-ANALYSIS
To help you evaluate each business idea, conduct a SWOT analysis for your business.
This involves a careful analysis of the strengths and weaknesses of the product idea
itself, as well as the relevant opportunities and threats in the external business
environment. Give TWO points on each element of the SWOT analysis.
-
Q:
Solve the inequality: \(4 - x \leq 2\)
-
Q:
Se consideră funcția \( f: \mathbb{R} \rightarrow \mathbb{R}, f(x)=\frac{3 x}{x^{2}+1} \)
a) Arătați că \( f^{\prime}(x)=\frac{3\left(1-x^{2}\right)}{\left(x^{2}+1\right)^{2}}, x \in \mathbb{R} \).
-
Q:
\( 2 km / min = \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \)
-
Q:
\( \begin{array}{ll}\text { 27. U nekoj školi } 55 \% \text { svih učenika su djevojčice. } & \text { od n } \\ \text { Ostalo su djecaci i nijh je za } 60 \text { manje nego dje- } & \text { da n } \\ \text { vojčica. Koliko je uçenika u toj školi? }\end{array} \)
-
Q:
\( y=3 x^{2}+6 x^{\frac{1}{3}}+\frac{2 x^{3}-7}{3 \sqrt{ } x}, \quad x>0 \)
find \( \frac{\mathrm{d} y}{\mathrm{~d} x} \). Give each term in your answer in its simplified form.
-
Q:
Question 3
Suppose the average (mean) weight of all male students is 60 kg and standard
deviation is 25 kg . If a sample of 36 male students is selected at random, find the
probability that the male students having average weight
(i) more than 70 kg
(ii) less than 55 kg
(iii) between 50 kg and 65 kg
-
Q:
Se consideră funcția \( f: \mathbb{R} \rightarrow \mathbb{R}, f(x)=2 x+\frac{2}{e^{x}}-1 \)
a) Arătați că \( f^{\prime}(x)=\frac{2\left(e^{x}-1\right)}{e^{x}}, x \in \mathbb{R} \)
-
Q:
1) \( x^{3}+x^{3}+x^{3}= \)
-
Q:
a) Calcule: Média; Mediana; Moda.
3. Considere os seguintes dados: \( \begin{array}{lllllllllll}133 & 425 & 244 & 385 & 236 & 236 & 328 & 1000 & 299 & 325\end{array} \)
a) Organize os dados em ROL crescente. b) Calcule: Média; Mediana; Moda.
-
Q:
Simplify the complex fraction.
\[ \frac{2+\frac{1}{x}-\frac{15}{x^{2}}}{3+\frac{10}{x}+\frac{3}{x^{2}}} \]
-
Q:
Ejercicio 5: Elisa debe crear su primer NIP (Número de lo
donde el primero no puede ser cero. ¿Cuántos NIP posib
-
Q:
Simplify the complex fraction.
\( \frac{\frac{3}{p+3}-1}{\frac{3}{p+3}+1} \)
-
Q:
15.) La Florida Oranges linc. (FCI) tiene que determinar la cantidad optima para recoger, empacar y transportar sus
naranjas "super" Y "comunes" cada semana. La mano de obra disponible para recogida y empaque es de 4000
horas semanales. Para recoger, empacar y dejar un furgon cargado con naranjas super, se necesitan 30 horas y
para naranjas comunes se necesitan 15 horas.
La Fol tiene una cantdad méxima de dinera de \( \$ 60000 \), el costo alquiler por caca proceso de carga del furgón y
transporte es de \( \$ 200 \) y \( \$ 300 \) para naranjas comunes y super respectivamente. La utilidad por furgán es de \( \$ 2000 \)
para naranjas comunes y \( \$ 2500 \) para naranjas super. La FO desea determinar la combinaclón óptima de furgones
por tipo dé naranjas que maximice la utilicad semanal.
-
Q:
Simplif.
\( \frac{\frac{6}{y+7}+\frac{5}{y-7}}{\frac{2}{y-7}-\frac{1}{y+7}} \)
-
Q:
aicio 4: En el municipio de Co. Acuña se necesita saber e
endo que cada placa se conforma de dos letras seguidas
-
Q:
jefe de aimacenes, otro para el área de contabilidad y uno más para
dencia. Desputs de una semana de entrevistas se tuvieron 5 prospecto
centa 10 para contabilidad y 8 area intendencia. ¿de cuantas maneras d
-
Q:
21 Given that \( M=\frac{18^{4 n} \times 2^{3\left(n^{2}-6 n\right)} \times 3^{2(1-4 n)}}{12^{2}} \)
find the values of \( n \) for which \( M=2 \)
-
Q:
Diagram I shows a solid wooden right circular cone, with base radius 20 cm and vertical height
36 cm .
A right circular cone of radius 8 cm is removed from the cone in diagram I. A wooden hemisphere
of radius 8 cm is added to make a wooden toy as shown in Diagram II.
(a) Show that the height of the toy in Diagram II, \( h \), is 29.6 cm .
-
Q:
The primary purpose of the income statement for a partnership may be described as
A. To report the revenues, expenses, and net income or loss of the partnership
B. To detail the distribution of profits and losses among the partners
C. To provide information about the partners' capital contributions
D To show the changes in the equity section of the balance sheet
-
Q:
86. Netko za prijevoz robe plati 600 kn što čini \( 1.5 \% \)
njezine vrijednosti. Koliko vrijedi roba?
-
Q:
Nhlanhla borrowed the sum of R450 000 from his bank to pursue a dream he had nursed for
years. A \( 15 \% \) interest is payable by Nhlanhla to the bank. In the bank's records, she has a.-
due to the bank.
A. Inventory
B. Asset
C Capital
D. Liability
-
Q:
Which of the following are the differences between partnerships and companies?
i. Partners are liable for all losses of the business
ii. Only companies have share capital
ii. Both partnership and companies pay tax on their profits
iv. Company's affairs are managed by members
A. i\& in
B is \& ii
C i. \( 4: \) iil
D i\& u
-
Q:
\( \begin{array}{ll}\text { 5. } f(x)=3 x^{2} & \text { 6. } f(x)=-x^{2}+1 \\ \text { 7. } f(x)=-x^{2}+4 x+1 & \text { 8. } f(x)=\frac{1}{2} x^{2}+6 x-7 \\ \text { 9. } y=(x+1)^{2} & \text { 10. } f(x)=(2 x-5)^{2} \\ \text { 11. } f(x)=x^{3}+x & \text { 12. } f(x)=2 x^{3}+x^{2} \\ \text { 13. } y=-x^{3}+15 x^{2}-x & \text { 14. } y=3 x^{4} \\ \text { 15. } y=\frac{2}{x+1} & \text { 16. } y=\frac{x}{x-1} \\ \text { 17. } y=\frac{2 x+3}{x+4} & \text { 18. } f(x)=\frac{1}{x}+\frac{1}{x^{2}} \\ \text { 19. } f(x)=\frac{1}{4} & \text { 20. } f(x)=\sqrt{2 x+1}\end{array} \)
-
Q:
Calculate the limit: \( \lim_{x \to 0} \frac{\sin(5x)}{x} \).
-
Q:
6. Netko za prijevoz robe plati 600 kn što čini \( 1.5 \% \)
njezine vrijednosti. Koliko vrijedi roba?
-
Q:
\( \left. \begin{array} { l l l l l l l l l l } { 23 } & { 22 } & { 24 } & { 64 } & { u _ { 2 } } & { 73 } & { q _ { 0 } } & { 29 } & { 60 } \\ { 43 } & { 43 } & { 70 } & { 54 } & { 33 } & { 44 } & { 54 } & { 52 } & { 36 } \\ { 72 } & { 56 } & { 49 } & { 57 } & { 56 } & { 30 } & { 56 } & { H _ { 2 } } & { 65 } \\ { H _ { 2 } } & { 71 } & { 33 } & { 57 } & { 45 } & { 73 } & { 38 } & { 50 } & { 37 } \\ { 45 } & { 71 } & { 45 } & { 28 } & { } & { } & { } \end{array} \right. \)
-
Q:
ii) 1011001
-
Q:
Given the function \( f(x)=\frac{1}{x} \), find the
difference quotient \( \frac{f(x+h)-f(x)}{h} \).
\( \frac{f(x+h)-f(x)}{h}= \)
(Enter the
numerator and denominator separately in
-
Q:
Вариант 4
1.) \( \frac{9}{5} \cdot \frac{2}{3}= \)
2.) \( \frac{15}{4}: \frac{3}{7}= \)
3.) \( \frac{1}{5}-\frac{3}{4}= \)
4.) \( \frac{1}{10}+\frac{21}{50}= \)
5.) \( \left(\frac{17}{26}+\frac{11}{13}\right) \cdot \frac{17}{6}= \)
-
Q:
Given the function \( f(x)=2 x-1 \),
evaluate and simplify the following:
\( f(x+h)= \)
\( \frac{f(x+h)-f(x)}{h}=\square \)
-
Q:
Exercice 4 page 124
4 VRAI/FAUX
Indiquer si les affirmations sont vraies ou fausses, puis justifier.
On considère la suite \( \left(w_{n}\right) \) définie pour tout entier naturel \( n \) par \( w_{n}=(-1)^{n} \). Alors :
\( \begin{array}{l}\text { a. pour tout } n \in \mathbb{N}, w_{n} \leqslant 0 ; \quad \text { b. }\left(w_{n}\right) \text { est une suite décroissante. }\end{array} \)
-
Q:
\( \frac { ( 35,74 \times m ) ( \frac { 3 } { 4 } 1 , + 120 } { 11 , + 10 } \)
-
Q:
Dibuje la región cuya área está dada por la fórmula.
\( \lim _{n \rightarrow \infty} \sum_{k=1}^{n} \operatorname{sen}\left(\frac{\pi^{2}}{36}+\frac{k \pi^{2}}{36 n}+\frac{\pi^{2}}{144} \frac{k^{2}}{n^{2}}\right) \frac{\pi}{6} \)
\( \lim _{n \rightarrow \infty} \sum_{k=1}^{n} \cos \left(\frac{\pi^{2}}{36}+\frac{k \pi^{2}}{36 n}+\frac{\pi^{2}}{144} \frac{k^{2}}{n^{2}}\right) \frac{\pi}{24} \)
-
Q:
Two forces of magnitudes 6 N . and 10 N ., if the magnitude of their resultant is 14 N
, then the measure of the angle between the forces is .......
\( \begin{array}{llll}\text { (a) } 15^{\circ} & \text { (b) } 30^{\circ} & \text { (c) } 60^{\circ} & \text { (d) } 45^{\circ}\end{array} \)
-
Q:
Let \( f(x)=\ln \left(e^{x}-9\right) \)
-
Q:
8. Simplify: \( \sqrt{-48}-\sqrt{-75} \)
-
Q:
2. \( m-5 \leqslant 2 \)
-
Q:
2. alcula ya-yb con lo regla delapartardo anteno
i ademas so sabe gue \( a-x+b \) y \( b=x \)
-
Q:
Calculate \( \frac{\sin \theta}{\cos \theta} \times-4 \)
-
Q:
1. \( k+7<-1 \)
-
Q:
\( \left. \begin{array} { l } { y a y b \quad a = x + b \quad b = x } \\ { y ( x + b ) c } \end{array} \right. \)
-
Q:
If \( g(x)=7+x+e^{x} \), find \( g^{-1}(8) \)
\( g^{-1}(8)= \)
-
Q:
calculate \( 1-\sin ^{2} \theta \)
-
Q:
Solve the equation \( e^{3 x+2}=10 \)
-
Q:
(c) Find the equation of the tangent to the curve \( y=\sec x \) at the point where \( x=\frac{\pi}{4} \)
-
Q:
Churahom les dioss d' i guiv: \( C_{0}, 1, \dot{2}, C_{1} \)
-
Q:
16. Each day, Jack's donut shop starts with 100 donuts. Throughout the day, some donuts
are sold, some are discarded, and some more is made according to the following
principle: for every three donuts sold, one more is made. If on a particular day, Jack
sold \( m \) donuts and discarded \( d \) donuts, and at the end of the day had no donuts left,
which of the following gives the correct relation between \( m \) and \( d \) ?
A. \( 2 m+3 d=300 \)
B. \( 3 m+2 d=300 \)
C. \( 3 d-2 m=300 \)
D. \( 2 d-3 m=100 \)
E. \( m+d=100 \)
-
Q:
\( \cos \theta=\frac{-24}{25} \) and \( 180^{\circ} \leqslant \theta \leqslant 270^{\circ} \)
value of \( \theta \)
-
Q:
Show that if \( y=\operatorname{cosec} x \) then \( \frac{d y}{d x}=-\operatorname{cosec} x \cot x \)
-
Q:
1.a. Tinh giak tri của cac bißu thứ sau:
\( \begin{array}{ll}\text { a) }\left(8+2 \frac{1}{3}-\frac{3}{5}\right)-(5+0,4)-\left(3 \frac{1}{3}-2\right) ; & \text { b) }\left(7-\frac{1}{2}-\frac{3}{4}\right):\left(5-\frac{1}{4}-\frac{5}{8}\right)\end{array} \)
-
Q:
\( 0 _ { 1 } = \frac { 8 ( 2385 ) - 100 ( 219 ) } { 8 ( 1500 ) - 100 ^ { 2 } } \)
-
Q:
\( \begin{array}{ll}\text { a. Tinh giá trị của các biéu thức sau: } \\ \text { a+2 }\left(8+\frac{1}{3}-\frac{3}{5}\right)-(5+0,4)-\left(3 \frac{1}{3}-2\right) ; & \text { b) }\left(7-\frac{1}{2}-\frac{3}{4}\right):\left(5-\frac{1}{4}-\frac{5}{8}\right)\end{array} \)
-
Q:
If \( 0^{\circ} \leq \theta<90^{\circ} \), then \( \frac{1}{1-\sin \theta}= \)
A. \( \frac{1}{\cos ^{2} \theta}+\frac{\tan \theta}{\cos \theta} \)
B. \( 1-\frac{1}{\sin \theta} \)
C. \( 1+\sin \theta \)
D. \( \tan ^{2} \theta+\frac{\tan \theta}{\cos \theta} \)
E. \( \frac{1}{\cos ^{2} \theta}+\sin ^{2} \theta \)
-
Q:
6. Find \( (f \circ g)(x) \) when \( f(x)=x^{2}-1 \) and \( g(x)=\sqrt{1-3 x} \) and state the domain of the composition
-
Q:
A transaction that increases an asset and decreases a liability is called an
A. Liability decrease
B. Asset increase
C. Equity increase
D. Asset exchange
-
Q:
By considering the general term, determine the term independent of \( x \) in the expansion of
\( \left(2 x^{3}-\frac{1}{4 x^{5}}\right)^{8} \)
-
Q:
\( \operatorname{Cos} \theta=\frac{-24}{25} \) and \( 180^{\circ} \leqslant \theta \leqslant 270^{\circ} \)
-
Q:
Ratio analysis is the only tool used in financial statement analysis to intorpres financial statememi
- True
False
-
Q:
3. please give the Matrix Equation for the
following equations
\( \left\{\begin{array}{l}x+2 y+3 z=1 \\ 2 x+3 y+4 z=2 \\ 3 x+4 y+5 z=3\end{array}\right. \)
-
Q:
real image of equal size is obtained at
listance of 48 cm from the lens. The type of th
ens and its focal length is :
a) convex lens of focal length 24 cm
-
Q:
Evaluate the function \(f(x) = \frac{x^2 - 4}{x^2 - 1}\) at \(x = 1\) and identify the type of discontinuity.
-
Q:
9. When fidget spinners were first introduced in the market, Leonard decided to sell them
in his toy shop. The number of spinners he sold every week is modeled by \( N(w)= \)
\( -w^{2}+10 w \), where \( w \) is the number of weeks starting the first week of February and
\( N(w) \) is the number of spinners sold each week in hundreds. One particular week,
Leonard realized that his sales were greater than the sales in any other week. What is
this maximum number of sales?
A. -2500
B. 500
C. 1000
D. 2500
E. 5000
-
Q:
\( \lim _ { 2 ^ { + } } \frac { 1 } { | x - 2 | ^ { 3 } } - \frac { 1 } { | x - 2 | } \)
-
Q:
A higher Quick Ratio indicates a better ability to cover short-term obligations.
True
False
-
Q:
BAI TÄP
7. Tính:
\( \begin{array}{llll}\text { a) } \frac{-6}{18}+\frac{18}{27} ; & \text { b) } 2,5-\left(-\frac{6}{9}\right) ; & \text { a) }-0,32 \cdot(-0,875) ; & \text { d) }(-5): 2 \frac{1}{5} \\ \text { 8. Tính glá trị của các blêu thức sau: } & \end{array} \)
-
Q:
3.3.1 Tcken grafieke(met byskrifte)deur die volgende vergelykings voor te stel, toon die \( x \) en \( y \)-afsnitte.
Teken die grafieke op dicselfde assestelsel voorsien op die diagramblad.
\( y=-2 x+4 \)
\( 2 y=x-8 \)
-
Q:
b) \( \frac{2}{2-2 \operatorname{sen} 30^{\circ}}-\frac{4}{4-2 \cos 60^{\prime \prime}} \)
-
Q:
2. please use Gauss Elimination to solve
\( \left\{\begin{array}{l}x+y-z=4 \\ x+y+z=-3\end{array}\right. \)
-
Q:
What is the primary purpose of financial accounting?
A. To track employee salaries and benefits
B. To manage intemal operations of a company
C. To provide information for decision-making within the company
D. Toport financial information to external parties
-
Q:
encontrar la derivada de la función dada.
\( \begin{array}{ll}\text { 1. } f(x)=10 & \text { 2. } f(x)=x-1 \\ \text { 3. } f(x)=-3 x+5 & \text { 4. } f(x)=\pi x \\ \text { 7. } f(x)=-x^{2}+4 x+1 & \text { 6. } f(x)=-x^{2}+1 \\ \text { 9. } y=(x+1)^{2} & \text { 8. } f(x)=\frac{1}{2} x^{2}+6 x-7 \\ \text { 10. } f(x)=(2 x-5)^{2}\end{array} \)
-
Q:
Read the following statements and identify whether each statement is true or false. If
the statement is false, rewrite it and correct the part that is untrue.
4.1.1 The highest level and most abstract of Bruner's theory of intellectual
development is the iconic stage.
4.1.2 Level 3 of counting includes breaking down and building up numbers.
4.1.3 Classification is the ability to match a written number with a counter.
4.1.4 To guess the number of steps from the carpet to the desk is an example of
teaching rote counting.
4.1.5 According to the CAPS, in Term 3 learners learn to recognise numbers 5,6 and
7.
-
Q:
The three most important statements mostly used by busisnesses to make decisions for their
day-to-day operations.
A. The balance sheet, income statement, and statement of cash flows.
B. The balance sheet, income statement, and statement of retained eamings
C. The balance sheet, income statement, and statement of changes in equity
D. The income statement, statement of cash flows, and statement of changes in
equity.
-
Q:
real image of equal size is obtained at
listance of 48 cm from the lens. The type of th
ens and its focal length is :
o) convex lens of focal length 24 cm
b) convex lens of focal length 48 cm
c) concave lens of focal length of 48 cm
d) concave lens of focal length 24 cm
-
Q:
a) \( \left(8 \frac{7}{12}-2 \frac{17}{36}\right) \cdot 2.7-4 \frac{1}{3}: 0.65 \)
-
Q:
a) \( \left(8 \frac{7}{12}-2 \frac{17}{36}\right) \cdot 2.7-4 \frac{1}{3}: 0,65 \)
-
Q:
Câu 02: (a) Rút gọn biểu thức
\[ \left(\frac{1-x}{x^{2}+x^{3}-x^{4}}-\frac{x^{2}+x+2}{x^{5}-x^{3}-2 x^{2}-x}\right):\left(\frac{1+x^{4}}{x^{3}+x^{4}+x^{5}}-\frac{1-x+x^{2}}{x}\right) \]
-
Q:
Explain the conceptual knowledge that learners have learnt by engaging in the activity
Quote a sentence from the scenario that depicts Level 1 of counting.
Quote a sentence from the scenario that depicts Level 2 of counting.
ifferentiate between rote counting and rational counting by providing a definition fo
ach and quoting an example from the scenario.
(2)
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Q:
ph \( y=2 x^{2} \) is,
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Q:
5
Type the correct answer in each box. Use numerals instead of words.
A tuning fork vibrates with a frequency of 440 hertz (cycles/second). When the tuning fork is struck, it produces a change in
the room.
Function \( p \) represents this situation, where \( p(t) \) is the change in pressure, in pascals, relative to the normal air pressure in th
time, \( t \), in seconds, after the tuning fork is struck.
What are the domain \( (880 \pi t) \)
The domain the range within the context of this situation?
The range of the function is \( \square \leq p(t) \leq \)
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Q:
\( \lim _ { 2 } \frac { 1 } { | x - 2 | ^ { 3 } } - \frac { 1 } { | x - 2 | } \)
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Q:
ample:
-phase, \( 220 \mathrm{kV}, 50 \mathrm{~Hz} \) transmission line consists of 1.5 cm radius
tductor spaced 2 meters apart in equilateral triangular formation.
temperature is \( 40^{\circ} \mathrm{C} \) and atmospheric pressure is 76 cm , calculate
corona loss per km of the line. Take mo \( =0.85 \).
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Q:
Question 1
a. Give the difference between the Taylor series and a Maclaurin series
b. Find the Maclaurin series for \( \ln (1+x) \)
[. Proof that if a function \( f(x) \) has a power series representation centered at \( x=a \)
that converges to \( f(x) \) on some open interval containing \( a \), then this power series a
Taylor series for \( f(x) \) at \( x=a \).
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Q:
\( \frac { - r } { \Xi - r } = ص \)
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Q:
\( \begin{array}{ll}\text { 5. } f(x)=3 x^{2} & \text { 6. } f(x)=-x^{2}+1 \\ \text { 7. } f(x)=-x^{2}+4 x+1 & \text { 8. } f(x)=\frac{1}{2} x^{2}+6 x-7 \\ \text { 9. } y=(x+1)^{2} & \text { 10. } f(x)=(2 x-5)^{2}\end{array} \)
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Q:
\( x\frac{2-2x+1=}{} \)
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Q:
State the type of matrix \( P \) and matrix \( Q \). giving a reason for your answer. ( 4 Marks)
\[ \begin{array}{rrrrr}6 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 1\end{array} \quad \text { and } Q=\begin{array}{lll}5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5\end{array} \]
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Q:
Assignment 2
1. please use Gauss Elimination to solve
\( \left\{\begin{array}{l}x+y+z=3 \\ x-y-z=-1 \\ y+2 z=3\end{array}\right. \)
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Q:
What is the limit as x approaches 2 of (x^2 - 4)/(x - 2)?
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Q:
Câu 01: (a) Tìm tât cả căn bậc 5 của -1 . Từ dó phân tích \( x^{5}+1 \) thành nhân tử trên \( \mathbb{R} \).
(b) Xét đa thức hệ só nguyên \( f(x)=a_{0} x^{n}+a_{1} x^{n-1}+\cdots+a_{n-1} x+a_{n} \). Chứng minh rằng \( f(x) \)
không có nghiêm nguyên nếu \( f(0) \) và \( f(1) \) lẻ.
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Q:
4. Convert each of the following numbers to their respective number systems equivale
\( \begin{array}{ll}\text { a) } 12 \mathrm{DF}^{2} E_{10} \text { to binury, } & \text { (3 Marks } \\ \text { b) } 11110000_{2} \text { to octal, } & \text { ( } 2 \text { Mark } \\ \text { c) } 65,0 \text { to hexadecimal. } & \text { ( } 2 \text { Mark } \\ \text { d) } 673 \text { to decimal. } & \text { (2 Mark }\end{array} \)
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Q:
ample:
-phase, \( 220 \mathrm{kV}, 50 \mathrm{~Hz} \) transmission line consists of 1.5 cm radius
ductor spaced 2 meters apart in equilateral triangular formation.
temperature is \( 40^{\circ} \mathrm{C} \) and atmospheric pressure is 76 cm , calculate
corona loss per km of the line. Take mo \( =0.85 \).
ution:
e corona loss is given.by:
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Q:
1 балл) Решить уравнение:
\[ \frac{x^{2}-25}{x+1}=0 \]
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Q:
onvert each of the following numbers to their respective number systems equive
a) \( \mathrm{A}^{2} \mathrm{DFE}{ }_{16} \) to binary.
b) \( 11110000_{2} \) to octal.
c) \( 65_{10} \) to hexadecimal.
d) \( 673_{8} \) to decimal.
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Q:
State the type of matrix P and matrix Q, giving a reason for your answer. (4 Marks
\[ \begin{array}{rrr}6 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 1\end{array} \text { and } \mathrm{Q}=\begin{array}{rrr}5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5\end{array} \]
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Q:
Вычислите \( \sqrt{3} \cdot(\sqrt{27}-\sqrt{12}): \)