UpStudy Homework Questions and Solutions
Latest Questions
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Q:
1) Hallar la ecuacidn po
a. Hallar la ecuacic
b. Encontrar la ec
perpendicular a
c. Hallar la ecuacio
d. Encontrar la ecua
e. Gráfica todas las
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Q:
S1 la tano \( =\frac{3}{3} \) es agodo calcular
e) \( \operatorname{sen} 0(2 x) \)
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Q:
antonym
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Q:
Lesson 2.1.8
Write an equation for each problem. Then solve your equation to answer the question.
1. Khloe has 28 coins in her collection. That is five more than Kourntey has. How many does Kou rtney have?
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Q:
Heitor ganhou de presente de seu tio 3 camisa
e 5 bermudas.
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Q:
Cassidy is selling tickets for a high school play. Child tickets cost \( \$ 7 \) and adult tickets cost \( \$ 11 \).
She sells 180 tickets and collects \( \$ 1580 \).
Setup a system of equations using \( C \) for number of child tickets and \( A \) for number of adult tickets to find
the number of each ticket sold.
We will not solve the system at this time
Your 1st equation:
Your 2nd equation:
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Q:
synonym
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Q:
Melynda went shopping for holiday presents. She bought boxes of chocolates and boxes of ornaments for
her coworkers. Boxes of chocolate cost \( \$ 8 \) each and boxes of ornaments cost \( \$ 12 \) each. She buys a total o
17 boxes and spends \( \$ 168 \). How many boxes of chocolates and how many boxes of ornaments does she bu
Using \( C \) for number of chocolate boxes and \( O \) for number of ornament boxes.
Setup but do not solve the equations necessary to answer the questions.
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12. Find three consecutive even integers such that the sum of the smallest number and twice
the middle number is 20 more than the largest number.
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4 Argumento.
Pse trevat shqiptare kanë luajtur rol të rëndësishëm në komunikimin ndërmjet kulturave më
të zhvilluara të kohërave.
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Q:
\( \frac { 0.29 .5 } { 0.59 } \)
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Q:
\( \mathbf{y}=\mathbf{A} \times(\mathbf{x}+\mathbf{1}) \times(\mathbf{x}-\mathbf{5}) \)
Cambie los lados
Reordene los términos
\( (x+1) \times(x-5) A=y \)
\( \left(x^{2}-5 x+x-5\right) A= \)
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Q:
a) \( \left[\left(\frac{2}{5}-\frac{2}{8}\right):\left(1-\frac{4}{10}\right)\right]:\left(\frac{5}{6}-\frac{7}{12}\right) \)
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Q:
Multiply \( 3 / 4 \times 16 / 9 \)
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Q:
Um elétron com carga \( q=-1,6 \cdot 10^{-19} \mathrm{C} \) adentra, com velocidade \( v=2,0 \cdot 10^{8} \mathrm{~m} / \mathrm{s} \) na
direção horizontal para a direita, uma região com campo magnético uniforme vertical para
cima de intensidade \( B=2,0 \mathrm{~T} \).
A) Faça um esquema indicando a direção da força magnética.
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Q:
a panificadora "PÃO QUENTE" sã
ferecidos aos clientes 4 tipos de pães, 5 tipo
e recheio e 2 tipos de bebidas para o café d
lanhã.
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a \( \left(-\frac{2}{3}\right) \cdot \sqrt{\left(\frac{8}{1000}\right)} \)
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\( f(x)=\left\{\begin{array}{ll}|x| \text { if } x \leq 0 & \text { a. Find } f(-2), f(-5), \text { and } f(2) \text {. } \\ \frac{1}{x} \text { if } x>0 & \text { b. Sketch the graph of the piecewise-de } \\ \text { c. Determine the domain of } f .\end{array}\right. \)
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Q:
Subtract: \( 8-4 \frac{1}{2} \)
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Solve the recurrence relation \( \mathrm{S}(\mathrm{K})-\mathrm{S}(\mathrm{K}-1)-\mathrm{S}(\mathrm{K}-2)=0 \).
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44 Argumento.
Pse trevat shqiptare kanë luajtur rol të rëndësishëm në komunikimin ndërmjet kulturave mè
ë zhvilluara tè kohërave.
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Q:
12 merimeter und of straight lines that meet at it
12 m
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1.- Encontrar el conjunto solución sobre C:
\( \left\{\begin{array}{c}(1+i) x-i y+2 z=0 \\ i x+i y-z=0\end{array}\right. \)
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Q:
Um elétron com carga \( q=-1,6 \cdot 10^{-19} \mathrm{C} \) adentra, com velocidade \( v=2,0 \cdot 10^{8} \mathrm{~m} / \mathrm{s} \) na
direção horizontal para a direita, uma região com campo magnético uniforme vertical para
cima de intensidade \( B=2,0 \mathrm{~T} \).
A) Faça um esquema indicando a direção da força magnética.
B) Calcule a intensidade desta força magnética.
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Q:
Grates Quiz fractions
Graded Quiz: Fractions
A family spends \( 1 / 10 \) of its annual income for housing \( 1 / 4 \) for food and dothing \( 1 / 5 \) for
general expenses, and \( 2 / 15 \) for entertainment What fractional part of their income is
spent on these items altogether?
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Q:
Find the indicated term of the Fibonacci sequence
\( 1^{\text {th }} \) term \( = \)
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Q:
Which fraction has a value that's equal to \( 7 / 8 \) ?
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Q:
Find the indicated term of the Fibonacci sequence
\( 1^{\text {th }} \) term
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Q:
Sabendo que a pizzaria dispõe de 5 sabores, 3
tamanhos de pizzas e 2 tipos de borda, de
quantas maneiras diferentes um cliente poderá
escolher a pizza?
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Q:
Find four different integrals that are represented by the following Riemann sum?
\( \sum_{i=1}^{n}\left(\frac{3}{n}\right)\left[4-\frac{9 t^{2}}{n^{2}}\right] \)
Intergrate the following:
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Q:
Miss Tan decorated the notice board using cards that are 7 cm by 10
What was the area of the notice board not covered by the cords?
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9. \( (x+5)=45 \)
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Written as a product of its prime factors, \( 1584=2^{x} \times 3^{y} \times 11 \)
Find the values of \( x \) and \( y \).
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If \( \mathrm{A}, \mathrm{B}, \mathrm{C} \) are any sets, prove that \( A-(B \cup C)=(A-B) \cap(A-C) \)
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Q:
5- Elegi una ecena de la obra en la que parrícipe lulo, el nijo de Eneas,
y volué a narrarla desde la perspecriva del niño. Tene encuenta
que el narrador debe ser verasimil: se trato ae un riño que vive
durante la terrible querra de troya. Luego, compartícon tus compañero
ia producción realizada.
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Q:
What's the product of \( 42 / 3 \) and \( 11 \frac{1}{4} \) ?
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Q:
2. 12 Выполните сложение:
а) \( 437+333+63+67 \)
б) \( 575+402+1425+298 \)
в) \( 321+329+235+615+87 \)
г) \( 21+22+23+24+25+26+27+28+29 \)
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\( (-\frac{23)}{} \)
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1) \( \sin \left(\frac{7 \pi}{12}\right) \)
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What's the sum of \( 2 / 5 \) and \( 2 / 4 \) ?
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Q:
If \( h^{\sin ^{2} \theta,}+\cos \)
\( 2 \sec ^{2} \theta_{2}=k \sin ^{2} \)
\( |b|=\frac{\sqrt{2(h+i)}}{2} w h= \)
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\( z = \ln \frac { x ^ { 2 } - y ^ { 2 } } { x ^ { 2 } + y ^ { 2 } } \)
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9. \( (x+5)=4 \)
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\( \lim _{x \rightarrow \frac{1}{2}} (2x^{3}+6\times ^{2}-7x) \)
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(3) \( f(x)=3-2 x, \quad M(7 ; 5) \);
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Q:
De quantas maneiras diferentes, um pintor
pode pintar 4 paredes tendo 7 cores diferentes?
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Q:
Divide \( 7 / 15 \) by \( 3 / 5 \)
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Q:
If \( h \sin ^{2} \theta, \quad+\cos \)
\( 2 \sec ^{2} \theta_{2}=k \sin ^{2} \)
\( |b|=\frac{\sqrt{2(h+i)}}{2} \) wh
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2. Измерения прямоугольного параллелепипела равны: \( \mathrm{A} Д=6 \mathrm{~cm}, \mathrm{AB}=8 \mathrm{~cm} \),
\( \mathrm{AA}_{1}=24 \mathrm{~cm} \). Найти диагональ параллелепипеда, ууол наклона диагонали-
параллелепипеда к плоскости основания и площадь диагонального сечения.
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Q:
What's \( 17 / 12 \) as a mixed number
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Q:
Titik-titik \( R(a, 0), S(-2,5), T(b, c) \) dan \( U(4,-7) \) adalah bucu-bucu bagi suatu rombus. Tentuk
nilai a,b dan \( c \)
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Q:
If \( h \sin ^{2} \theta \)
\( 2 \sec ^{2} \theta_{2} \)
\( |b|=\frac{\sqrt{2 c h}}{2} \)
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Q:
9. \( (x+5)=45 \)
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Q:
Franco possui 4 camisetas de cores diferentes,
3 bermudas de modelos diferentes e 3 tipos de
calçados.
De quantas modos diferentes Franco pode se
vestir?
Cálculo:
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Q:
9. Scrie două propoziṭii formate din câte 5 cuvinte.
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(2) Shkruaj disa fakte që ndikuan në popullimin e hershèm të trevave shqiptaro,
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a) \( f(x)=3 x^{2}-\frac{1}{x^{2}} \quad M(1 ; 3) \)
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2) Se dispone de un ácido nítrico comercial concentrado al \( 96,73 \% \mathrm{~m} / \mathrm{m} \) y
densidad \( 1,5 \mathrm{~g} / \mathrm{mL} \). ¿Cuántos mL del ácido concentrado scrín necesarios para
preparar \( 0,2 \mathrm{~L} \) de disolución \( 1,5 \mathrm{M} \) de dicho ácido?
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Q:
Find the indicated term of the Fibonacci Sequence
\( 9^{\text {th }} \) term
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Q:
4. Write the number sentences for the following problems:
a) I multiply a number by 4 and then add 3 . The result is 31 .
b) I staried with a number, mutipiy it by 3 , subtract 20 and my result is the number I
started with, (2)
c) Given that the angles of a triangle are \( x^{4}, 3 x \), and \( (x-30)^{2} \). Find \( x \) and the size of
the three angles
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Q:
Consider the following system of linear equations.
\( \begin{array}{l}-8 x-y=-19 \\ -2 x-4 y=14\end{array} \)
The first step in the substitution method is to solve one of these equations for \( x \) or \( y \). For example, if we
solved the first equation for \( x \) in terms of \( y \), what would be get?
\( x= \)
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ß) \( (-3)^{-5}:(-3)^{-3} \)
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b) I started with a number, multiply it by 3, subtract 20 and my result is the number I
started with.
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Q:
Aroblem 7
a. Calculate the number of cubes with edge length \( \frac{1}{2} \mathrm{~cm}^{2} \) that fit in this prism.
b. What is the volume of the prism in \( \mathrm{cm}^{3} \) ? Show your reasoning if you are stuck, think
about how many cubes with \( \frac{1}{2}-\mathrm{cm}^{3} \) edge lengths fit into \( 1 \mathrm{~cm}^{3} \).
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Q:
If \( h \sin ^{2} \theta_{1}+\cos ^{2} \theta_{1}=k, a_{1} \sin ^{2} \theta_{2}+k \tan ^{2} \theta_{2}=h \)
\( 2 \sec ^{2} \theta_{2}=k \sin ^{2} \theta_{1}+1 \) and \( \sin \theta_{2}=\cos \theta_{2} \) find \( |b| \) when
\( b^{2}=h-a \) and \( k=h-1 \).
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Q:
a) \( 2^{-6} \cdot 2^{8} \)
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13. \( \frac{39}{40} \)
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Q:
Directions: Insert the indicated number
of geometric means. Show your
complete solution.
1. 16 and 81
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4. Identify the next three numbers in the following Fibonacci sequence:
\( 0.1,1,2,3 \)
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c) \( x^{2}+6 \mathrm{x}-4=0 \)
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13. \( \frac{39}{40} \)
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4) จำนวนทางซ้ายเป็น 2 เท่าของจำนวนทางขวา
5) จำนวนทางขวาเป็น 3 เท่าของจำนวนทางซ้าย
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13. \( \frac{39}{40} \)
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Use the rules for multiplication by powers of 10 to calculate \( 20 \times 100 \).
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B. \( \cdot=2(x-1)^{2}+2 \)
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1. Define a number sentence and provide three examples.
- Example \( 1: \)
- Example 2
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Q:
Circles \( C, P \), and \( Q \) have radii 1,2 , and 3 respectively. If the three circles are tangent to
each other, what is the nature of the triangle formed by joining the three centers of the
circles?
A. Isosceles
B. Right angled
C. Right isosceles
D. Equilateral
E. Cannot be determined with the information given
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Q:
Which inverse operation would be used to verify the following equation?
\( 102 \div 3=34 \)
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Q:
\( \left. \begin{array} { c } { f ( x ) = \left\{ \begin{array} { l l } { x - 1 , } & { x \leq 1 } \\ { 6 - 2 x , } & { 1 < x < 3 } \\ { x + 1 , } & { x \geq 3 } \end{array} \right.} \\ { g ( x ) = \left\{ \begin{array} { l l } { x + 1 , } & { x < 1 } \\ { x - 1 , } & { x \geq 1 } \end{array} \right.} \end{array} \right. \)
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Q:
5.Scrie câte 3 cuvinte formate :
a) dintr-o silabă;
b) din 4 silabe;
c) \( \operatorname{din} 3 \) silabe;............................
d) \( \operatorname{din} 2 \) silabe .
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Q:
\begin{tabular}{l} 1. Define a number sentence and provide three examples. \\ \hline - Example 1: \\ - Example 2: \end{tabular}
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Q:
5) Irma preparó \( 15 \frac{3}{4} \) litros de licuado de frutillas y lo sinvió en vasos de \( \frac{1}{4} \) litro, Roberto preparó \( 12 \frac{1}{2} \)
litros de licuado de bananas y lo sirvió en vasos de 0,125 litros. ¿Quién sirvió más vasos?
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Q:
\( X Y Z \) is an equilateral triangle, the length of its side is \( 10 \sqrt{3} \mathrm{~cm} \), then the
length of the diameter of its circumcircle is ............ cm .
\( \begin{array}{llll}\text { (a) } 5 & \text { (b) } 10 & \text { (c) } 15 & \text { (d) } 20\end{array} \)
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Q:
Which statement draws a correct conclusion about how boundaries created by European nations in Africa
affected the African peoples? (1 point)
Boundaries drawn by European nations only affected the economic development of African peoples.
Boundaries drawn by European nations respected the ethnic and linguistic diversity of African peoples,
Boundaries drawn by European nations gave preferential treatment to ethnic majorities over minority populations.
others.
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Q:
Which of the following statements best formulates an African response to the Berlin Conference using historical
empathy? (1 point)
African elites accepted the results of the Berlin Conference, while the average person resisted colonization.
African peoples had positive outcomes from the Berlin Conference according to their own experiences.
African peoples had a diverse set of responses based on their unique cultural, religious, and ethnic identities.
peoples were unified in their resistance to the Berlin Conference.
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Q:
ded Quiz: Whole Numbers
\( 4 \div 9=6 \)
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Q:
Besides language, what other evidence proves the migration of Bantu-speaking communities? (1 point)
sericulture
algebra
iron metallurgy
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Q:
8. A parkingsarage has 8 levels. Each levelh
parkingspaces for 112 cars. How many a
can park in the garage at one time?
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Q:
From the op
Perimeter of \( t \)
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Q:
4. Find the prime factorisation of each of the following numbers, expressing your answer in index notation.
\( \begin{array}{ll}\text { (a) } 24 \\ 2 \sqrt{27} \\ 2 \sqrt{\frac{1}{2}} & \text { (b) } 95 \\ 3 \sqrt{225} & \text { (d) } 442 \\ 3 \longdiv { 7 5 } & 2 \sqrt{44} \\ 5 \sqrt{25} & \text { (f) } 1200\end{array} \)
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Q:
Which of the following identifies an example of cultural diffusion associated with the Silk Road? (1 point)
Bantu was adopted as a major dialect.
Swahill combined Bantu and Arabic languages.
Buddist and Christian missionaries spread across Europe and Asia.
New technologies, such as algebra, were brought to Europe.
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Q:
Solve the following equation for \( p: \frac{p^{2}}{4}=25 \)
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Q:
6. Which of the following numbers are divisible by:
\( \begin{array}{llll}\text { (a) } 2 \text { ? } & \text { (b) } 3 \text { ? } & \text { (c) } 5 \text { ? } & \text { (d) } 10 \text { ? }\end{array} \)
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Q:
The largest positive number which divides two or more integers without
any remainder is called
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Q:
Which statement correctly summarizes a motivation for imperialism? (1 point)
Europeans were motivated by a desire to "civilize" Indigenous peoples.
Military technology inspired Europeans to conquer parts of Africa.
Social Darwinism modication motivated Europeans to conquer Africa.
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Q:
16. Given \( f(x)=2 x^{2}-3 x+1 \) and
\( g(x)=-3 x+5 \), what is the value of
\( (f \circ g)(-2) \) ? (grid-in)
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Q:
11. \( 2.94+45+58.06 \)
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Q:
hich of these is not a factor of 14 ?
\( \begin{array}{llll}\text { i. } 1 & \text { ii. } 2 & \text { iii. } 3 & \text { iv. } 7\end{array} \)
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Q:
Use digits and a decimal point to write the number one trillion, six hundred twenty-five
billion, two hundred fifty thousand, twenty-five and one hundred twenty-three
thousandths.
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Q:
\( A , x ^ { 2 } - 100 - 0 \)
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Q:
6. A lodge at a state park has 149 root
Up to five people may stay in each
What is the maximum number of perot
who can stay at the lodge at one timet
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Q:
From the opt
(a) \( 15+\sqrt{3} \)
\( 15+5 \sqrt{3} \)
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Q:
4) En un frasco de jarabe caben \( 3 / 8 \) de litro. ¿Cuántos frascos se pueden llenar con cuatro Itros y
medio de jarabe?
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Q:
Identify if the equation \(3y - 2 = 5\) is linear or not.
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Q:
9. \( 67.55+0.83 \)
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Q:
4.1. Find the first 2 terms of the sequence, \( \left(a_{n}\right) \) where \( a_{n+1}=\frac{9^{n+1}}{10^{n}} \)
4.2. Determine whether \( \left(a_{n}\right) \) is convergent or divergent, and it is convergent, find
its limit.
4.3. Determine whether the following series is conditionally convergent absolutely
convergent or divergent.
4.4. Find the sum of the series
\( \sum_{n=0}^{+\infty} \frac{(-1)^{n} x^{4 n}}{n!} \).
-
Q:
Round 223.092870 to the nearest hundredth.
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Q:
\( a ^ { 4 } + a ^ { 4 } \beta ^ { 4 } - 4 a ^ { 2 } \beta ^ { 2 } + \beta ^ { 4 } = 4 a \beta \)
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Q:
1.96 Найдите значение выражения:
а) \( 2,34: 0,39 \cdot(10,7-2,3):((8,9-5,7) \cdot(2,11+1,04)) \);
б) \( (9,9-5,52: 0,69+8,1) \cdot((5-0,125):(3,7+0,05)) \).
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Q:
2. \begin{array}{l} 37.2 \\ 103. \\ \( +\quad 8.52 \\ \)\hline\end{array}
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Q:
\( \left\{\begin{array}{l}f(x)=x+6 \\g(x)=x^{2}+2x\end{array}\right. \)
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Q:
21 If \( \mathrm{X}=\{6,4,2,0,-2,-4,-6\} \) and R is a relation on X where " a R b" means
" a is the additive inverse of b " for each \( \mathrm{a} \in \mathrm{X}, \mathrm{b} \in \mathrm{X} \)
Write R and represent it by an arrow diagram and show with reason if R is a function or
not, and if R is a function , mention its range.
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Q:
(4) In \( \triangle A B C \), if \( a=4 \mathrm{~cm}, b=7 \mathrm{~cm} \), m \( (\angle C)=120^{\circ} \), then the area of
the triangle \( =\cdots \cdots \cdots l l \)
\( \begin{array}{llll}\text { (a) } 7 \sqrt{3} & \text { (b) } 14 \sqrt{3} & \text { (c) } 7 & \text { (d) } 14\end{array} \)
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Q:
4) Qual a altura máxima atingida por um projétil
cuja trajetória pode ser descrita pela função:
\( h(x)=-4 x^{2}+10 \), sabendo que hé a altura do
projétil e que \( x \) é a distância percorrida por ele em
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Q:
In a basket, there are 14 oranges. If you take away 7 oranges, how many oranges remain?
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Q:
\( 6 \square ^ { 600 } 501 \quad 651 \)
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Q:
A razāo \( 24: 6 \) é equivalente à razāo \( x: 7 \).
Resolva para \( x \) :
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Q:
Q11:
3. \( 10 \mathrm{pm}-4.15 \mathrm{pm} \)
4.15 \( \mathrm{pm}-3.10 \mathrm{pm}=\quad \) hrs \( \quad \mathrm{mins} \)
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Q:
रिक्त स्थान को भरिए -
\( -\frac{5}{14}+\ldots=-1 \)
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Q:
\( \begin{array}{l}130 \mathrm{pm}-530 \mathrm{pm} \\ 5.30 \mathrm{pm}-1.30 \mathrm{pm}=\square \mathrm{hrs} \\ * 1 \text { hour }=60 \mathrm{mms}\end{array} \)
-
Q:
(4.) \( 800 \quad 501 \quad 651 \)
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Q:
(b) \( \sqrt{x-1} \geq \sqrt{15-3 x}-2 \)
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Q:
3. 12 and 54 are 6 .
\( \begin{array}{ll}\text { i. Composites } & \text { ii. Primes } \quad \text { iii. Factors iv. Multiple }\end{array} \)
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Q:
4. Find the prime factorisation of each of the following numbers, expressing your answer in index notation
\( \begin{array}{ll}\text { (a) } 24 & \text { (b) } 95 \\ \text { (c) } 225 & \text { (d) } 442\end{array} \)
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Q:
Learning Task 1: Read and anslyze each probletn carefully. Write your
final answer in your notebook based on the given questions below.
1) There are \( 22 / 3 \) pizzas. How many people are sharing when each
has \( 2 / 3 \) of pizza?
2) A plastic bottle of mineral holds 600 ml of water when it is \( 3 / 5 \)
full. What is the capacity of the bottle
3) Joel spend \( 4 / 8 \) of his monthly salary for their groceries. After
spending had Php 980 left. How much his monthly salary?
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Q:
For each of these sequences, write
\( \begin{array}{ll}\text { i the term-to-term rule } & \text { ii the next two terms. } \\ \text { a } 5,5 \frac{1}{4}, 5 \frac{1}{2}, 5 \frac{3}{4}, \ldots & \text { b } 7 \frac{1}{3},-8_{3}^{2}, 10,11_{3}^{1} \text { - }\end{array} \)
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Q:
One brown suitcase weighs 42 pounds. That brown suitcase weighs twice as much as a black
suitcase. How much does the black suitcase weigh?
a. Draw a strip diagram to represent the relationshin hetween tho nuantition
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Q:
12. Given three consecutive
integers. If the sum of the first
three times the third is equal to 20 ,
what is the sum of the three integers?
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Q:
\( \begin{array}{lll}\frac{1}{5} & \text { b) } \frac{9}{5} & \text { c) } 1 \\ \text { edigit at unit's place of the cube root of } 6659 & \text { is: }\end{array} \)
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Q:
2. In \( 4 \times 5=20,4 \& 5 \) are
i. Factors
numbers.
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Q:
7. Ross is comparing \( \sqrt{11} \) and \( 5 . \overline{4} \). He says
that \( \sqrt{11}>5 . \overline{4} \) because \( \sqrt{11}=5.5 \)
a. What is the correct comparison?
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Q:
\( a = 3 cm ; b = 4 cm ; c = 5 cm \)
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Q:
2. Consider the function \( f(x, y)=e^{1+x^{2}+y^{2}} \).
- Sketch, if possible, the level curves for the values \( c=-1,0,1,2 \)
- Find and classify the critical points of \( f(x, y) \).
-
Q:
Vark the correct answer:
1. Which of the following is not a prime number?
\( \begin{array}{lll}\text { i. } 2 & \text { ii. } 4 & \text { iii. } 3\end{array} \)
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Q:
Complete the comparison: 26 \&It ?
-
Q:
\( x = \frac { 12 \times 12 } { \frac { } { 12 } } = \)
-
Q:
Докажите неравенство:
1) \( a^{2}+b^{2}+6 a-4 b+13 \geq 0 \)
2) \( x^{2}-2 x+y^{2}+10 y+28>0 \)
3) \( 2 m^{2}-6 m n+9 n^{2}-6 m+9 \geq 0 \)
4) \( a^{2}+b^{2}+c^{2}+12 \geq 4(a+b+c) \)
5) \( a^{2} b^{2}+a^{2}+b^{2}+1 \geq 4 a b \)
-
Q:
\( 7.45 \mathrm{pm}-5.45 \mathrm{pm}= \) pnswer I hrs h ons
-
Q:
+
4) En un frasco de jarabe caben \( 3 / 8 \) de litro. ¿Cuántos frascos se pueden llenar con cuatro litros
medio de jarabe?
-
Q:
What's the product of 713 and 82 ?
-
Q:
Ist das Dreieck rechtwinklig,
stumpfwinklig oder spitzwinklig?
a) \( a=3 \mathrm{~cm} ; b=3 \mathrm{~cm} ; c=3 \mathrm{~cm} \)
-
Q:
Compare \( 6.51326 \ldots \) and \( \sqrt{39} \). Show your
work.
-
Q:
Transpose the formula \( a=\frac{V^{2}}{T} \) to make \( V \)
subiect
-
Q:
A choir has 14 seniors and some juniors. There are 3 times as many juniors as seniors. How
many juniors are in the choir?
-
Q:
Вычисли: \( \frac{4^{4} \cdot 49^{-7}}{7^{-15} \cdot 16^{3}} \)
-
Q:
11. If the sum of half a number and 3 is
smaller than twice the same number
added to 3 , which of the following
could be the number?
-
Q:
5. \( a^{3}+27 b^{3}= \)
-
Q:
Um marinheiro arista o topo do tavol que sabe que dista yom
do nirel deallura segundo um ângulo de s graus. a que distancia
esta da base do farol
-
Q:
Представь выражение \( \sqrt[11]{d^{7}} \) в виде степени с рациональным п
Выбери правильный ответ:
-
Q:
Apokah jenis fungsi bogi
\[ \mathbf{y}=-\frac{20}{\mathbf{x}} ? \]
(gunokan huruf keal sohojo)
-
Q:
1. Find the interval of convergence of the power series \( \sum_{n=1}^{+\infty} \frac{(x-1)^{n}}{n 3^{n}} \)
-
Q:
\begin{tabular}{c|c|c|c|c|}\hline a) & b) & c) & d) & e) \\ \hline 18 cm & 8 cm & & 24 cm\end{tabular}
-
Q:
Представь данное выражение \( \sqrt[4]{\frac{3}{5}} \) в виде степени с рациональным показателе
-
Q:
A roast chicken recipe calls for pre-roasting the chicken for a certain amount of time at a high temperature
first, then reducing the temperature and roasting for an additional 18 minutes per pound.
Hector's 4.3 pound chicken took 91.4 minutes to roast.
How many minutes would it take to cook a chicken that was double in weight as Hector's chicken?
-
Q:
What's the position of 9 in the number \( 932,805 ? \)
-
Q:
\( \frac{11}{2} \) and \( \frac{11}{3} \)
-
Q:
б) 3 т 6 ц \( =\ldots \) кг;
-
Q:
The points \( (-2,2) \) and \( (3,-23) \) lie on the curve given by the equation \( y=a x^{2}+b x+4 \).
Use an algebraic method to find the values of \( a \) and \( b \).
-
Q:
Transpose \( C=\sqrt{R T} \) to make \( R \) the subject
-
Q:
б) 3 т 6 ц \( =\ldots \)
-
Q:
Сократи дробь \( \frac{10+b 2}{100-b} \)
-
Q:
Calculate the power loss in a \( 5 \Omega \) resistor which has 50 mA of current flowing through it.
Summarise your working in the fields below.
Select formula elements from the drop-down menus and enter values into the text fields.
Formula: P
Working: P
Answer: P
-
Q:
Berechne die fehlende Seitenlange in einem rechtwinkligen Dreleck \( (y+90 \%) \)
nde sinnvoll.
\( \begin{array}{ll}=6 \mathrm{~cm} ; b=9 \mathrm{~cm} & c= \\ =9 \mathrm{~cm} ; c=14 \mathrm{~cm} & a= \\ =14,5 \mathrm{~cm} ; c=19,7 \mathrm{~cm} & b=\end{array} \)
-
Q:
Заполните пропуски:
а) 2 ц 86 кг \( =\ldots \) кг;
-
Q:
Graded Quiz: Whole Numbers
Graded Quiz: Whole Numbers
Use the rules for multiplication by powers of 10 to calculate \( 3 \times 100 \).
-
Q:
A line passes through the point \( (7,10) \) and has a slope of \( \frac{2}{7} \).
Write the equation of the line using \( x \) as the independent variable:
\( y=\square \)
Find the vertical intercept for this line:
-
Q:
Consider events A and \( \mathrm{B} . P(A)=0,43, P(B)=0,37 \) and \( P(A \) and \( B)=0,1591 \).
Determine whether events A and B are:
\( \begin{array}{ll}1.1 \text { complementary } & \text { (2) } \\ 1.2 \text { exhausted } & \text { (2) } \\ 1.3 \text { mutually exclusive } & \text { (2) } \\ 1.4 \text { independent. } & \text { (2) } \\ 1.5 \text { Draw a Venn diagram to represent the given information. }\end{array} \)
-
Q:
2uestion 7 ( 5 points)
Tina has been dieting for a total of 13 weeks. She lost 3 pounds on the first week
her diet, but gained back a pound on the second week. On each remaining week
her diet, she lost 2 pounds. How many pounds has Tina lost in all?
-
Q:
Упрости выражение:
\( \left(t^{\frac{1}{4}}+y^{\frac{1}{4}}\right) \cdot\left(t^{\frac{1}{8}}+y^{\frac{1}{8}}\right) \cdot\left(t^{\frac{1}{8}}-y^{\frac{1}{8}}\right) \)
-
Q:
Calculate the power loss in a \( 40 \Omega \) resistor which has 1.2 A of current flowing through it.
Summarise your working in the fields below.
Select formula elements from the drop-down menus and enter values into the text fields.
Formula: P
-
Q:
The following linear function is written in point-slope form: \( y+7=-\frac{1}{2}(x-14) \)
What is the slope of the line? \( -\frac{1}{2} \)
Name the point in the line that the equation of the function is based on :
Hint: HINT 1: Point-slope form is \( y-y_{1}=m\left(x-x_{1}\right) \)
HINT 2: Are you putting the \( x \) and \( y \) values of the coordinate points in the correct place?
-
Q:
(b) \( \sqrt{x-1} \geq \sqrt{15-3 x}-2 \)
-
Q:
At the end of the year, a library reported 32 books lost or stolen and 24 books 4
sent out for repair. If the library originally had 1,219 books, how many were left
the shelves or in circulation?
-
Q:
c) \( a^{2}+16 a+64 \)
-
Q:
10. If \( 9^{2 x-1}=3^{8} \), what is the value of
\( 2 x-5 \) ?
A. -5
B. 0
C. 5
D. 10
-
Q:
Graded Quiz: Whole Numbers
Graded Quiz: Whole Numbers
Gina decided to order some clothes from a catalogue. She ordered 3 pairs of jeans
\( \$ 39 \) each, 4 T-shirts at \$15 each, and 2 skirts at \( \$ 27 \) each. What was her total bill?
-
Q:
23 At a clearance sale, kitchenware were sold at a \( 20 \% \) discount and garments at a \( 30 \% \)
discount.
Cathy bought 2 cooking pots with an original price of \( \$ 70 \) each and 3 dresses at a discounted
price of \( \$ 157.50 \) each.
Find
(a) the selling price of each cooking pot.
-
Q:
रिक्त स्थान को मरिए-
\( \frac{-4}{13}-\frac{-3}{26}=\ldots \)
-
Q:
Complete the comparison: 26 \&It ?
-
Q:
2) \( \frac{4 a-1}{1-14 a} \)
-
Q:
Complete the comparison: 26 \<?
-
Q:
\( x \) is a number between 200 and 300.
The highest common factor of \( x \) and 198 is 33
Find the smallest possible value of \( x \).
-
Q:
\( 2 \begin{array}{l}\text { The distance between Ismailia and Eltal Elkebeer is } 45 \mathrm{~km} \text { and the drawing } \\ \text { scale is } 1: 3000000 \text {. Find the distance between them ob this map. } \\ \text { Solution }\end{array} \)
-
Q:
Learning Task In: In your notebook, compose compound and/or
complek sentences using the given adverbs lolow.
1. scldom -
2. totally -
3. sometimes -
4. really -
5. fairly -
-
Q:
What's \( 1,112,433 \) rounded to the nearest ten thousand?
-
Q:
A family drives at an average of \( 52 \mathrm{mi} / \mathrm{hr} \), including stops, during a
cross-country drive. Estimate how far they can travel each day if they
drive for 6.5 hr.
-
Q:
Rakamları farklı iki basamaklı dört doğal
sayının toplamı 116 olduğuna göre bu sayıla-
rın en büyüğü en çok kaçtır?
-
Q:
Magpunilit -
- Kellalakihant lalat
-
Q:
Question 1 (5 points)
What's \( 1,112,433 \) ro
-
Q:
भाग कीजिए \( (2 \sqrt[3]{216}-3 \sqrt{27}) \) को 3 से
-
Q:
Which is more likely the distance from Earth to the sun, \( 1.5 \times 10^{9} \mathrm{ml} \)
\( 1.5 \times 10^{-8} \mathrm{mi} \) ?
-
Q:
7. through \( (-1,4) \), perpendicular to \( y=-\frac{1}{8} x+3 \)
-
Q:
1) \( \frac{45 a^{2} b}{30 a b} \)
-
Q:
1) \( 45 a^{2} b \)
-
Q:
der \( 4060 \times 10^{-1}, 40.6 \times 10^{-3} \), and \( 0.406 \times 10^{2} \) from least to greatest by using
-
Q:
Factorise the following fully:
\( 3.2 .1 \quad 6 x^{3}+12 x^{2}-18 x y+24 x \)
-
Q:
uestion 4
a) Solve the following equation for \( p: \frac{p^{2}}{4}=25 \)
-
Q:
The yalue of \( 249^{2}-248^{2} \)
-
Q:
What is the largest 4
digit number
-
Q:
(b) How many times the weight of the Hami melon is the weight of the
watermelon?
-
Q:
Order \( 4060 \times 10^{-3}, 40.6 \times 10^{-3} \), and \( 0.406 \times 10^{2} \) from least to greatest by using
-
Q:
Express the following angles into radians.
\( \begin{array}{lllll}\text { (i) } 30^{\circ} & \text { (ii) }(60)^{\circ} & \text { (iii) } 135^{\circ} & \text { (iv) } 225^{\circ} & \text { (v) }-150^{\circ} \\ \text { (vi) }-225^{\circ} & \text { (vii) } 300^{\circ} & \text { (viii) } 315^{\circ} & & \end{array} \)
Convert each of following to degrees.
-
Q:
ergof zero polynomial is
-
Q:
What is the decimal value of the 2 's complement representation: \( 00110001_{2} \)
\( 153_{10} \)
\( 49_{10} \)
\( -153_{10} \)
-
Q:
\( 1453 \times 272 \) (by rounding each factor to the nearest hundred
-
Q:
Question 2
a. State the Refinement \( Q \) of a partition \( P \)
b. Explain the fundamental theorem of calculus.
c. Prove that a bounded function \( f:[a, b] \rightarrow \mathbb{R} \) is Riemann integrable if and only if for
every \( E>0 \) there exists a partition \( P \) of \( [a, b] \), which may depend on \( E \), such that
\( U(f ; P)-L(f ; P)<\varepsilon \).
d. Use the Fundamental theorem of Calculus to compute the derivative of \( F(x)= \)
\( \left(\int_{0}^{x} \cos (t) d t\right)^{3} \).
-
Q:
(a) 9
The, value of \( 3 \sqrt{ } 5+\sqrt{5} \) is equal to
-
Q:
सhges
-
Q:
Given that \( D=\frac{\sqrt{F+P}}{F-P} \), make \( P \) the Subject
-
Q:
\( 82+97+53 \) (by rounding addends to the highest place value)
-
Q:
e) \( 49+28 b+4 b^{2} \)
-
Q:
c) \( a^{2}+16 a+64 \)
-
Q:
We the value of each expression.
\[ 6.82+97+53 \text { (by rounding addends to the highest place value) } \]
\( 77.1453 \times 272 \) (by rounding each factor to the nearest hundred)
-
Q:
kercise 8
mple Interest
1. Lehlohonolo opens a savings account that bears \( 15 \% \) simple interest per annum. If he
deposits R 5700 how much money will he have after 11 years and 7 months?
2. How long would it take for R8 400 to grow to R15 000 at a simple interest rate of \( 7.5 \% \)
p.a.? Give your answer correct to the nearest month.
3. How much should be invested now at \( 8 \% \) simple interest per annum to accumulate to
R12 000 in 6 years?
4. A car worth R145 000 depreciates at the rate of \( 16 \% \) annually according to the straight
line method. What will the value of the car be after 4.5 years?
5. How long would it take for the car in the previous question to depreciate in value to
R100 000 ? Give your answer correct to the nearest month.
6. If Sipho buys a camera for R899 at the beginning of the year 2010 and intends to sell it
for R350 at the end of 2014 , what would the rate of depreciation be assuming simple
interest decay?
7. Kwena opts for an investment with an interest rate of \( 8 \% \) per annum compounded
quarterly. How much will he have after 6 years if he invests R2000?
8. Juju invests R18 000 into a savings account with an interest rate of \( 9 \% \) per annum
compounded monthly. If he invests a further R10 000 into the account after 4 years,
how much will he have after 6 years and 8 months?
9. How much should be invested now at \( 8 \% \) interest per annum compounded annually to
accumulate to R12 000 in 6 years?
10. What is the annual interest rate if R8 700 is compounded semi-annually and grows to
R12 500 after 4 years?
11. A car worth R145 000 depreciates at a compound rate of \( 16 \% \) per annum. Calculate the
book value of the car after 4,5 years.
12. A car dealer uses the straight-line method to calculate a car's value. The car was
originally bought for R150 000 . The car dealer calculates the car to be worth R85 667.89
as it is now 5 years old.
-
Q:
4. \( 0.000134 \times 10^{2} \)
-
Q:
Use 4 bits to represent the decimal number -610 in sign and size code
\( 00110_{2} \)
\( 1110_{2} \)
\( 11110_{2} \)
\( 0110_{2} \)
-
Q:
The value of \( (81)^{0.16} \times(81)^{0.09} \) is equal (o-
-
Q:
\( \sqrt{x}+3=5.5 \), then value of \( x \) is
\( \begin{array}{ll}\text { a) } 6.25 & \text { b) } 2.5\end{array} \)
-
Q:
4. \( 0.000134 \times 10^{2} \)
-
Q:
State the numbe. significant digits in each measurement
a. 0.0033 ft
b. 2010 kg
-
Q:
State the numbe, significant digits in each measuremen
a. 0.0033 ft
-
Q:
The value of \( 2 . \overline{6}-0 . \overline{9} \) is
\( \begin{array}{ll}\text { (a) } 4 & \text { (b) } \frac{1}{4}\end{array} \)
-
Q:
82." Кут \( A B C \) дорівнює \( 30^{\circ} \), кут \( C B D-80^{\circ} \). Знайдіть
кут \( A B D \). Скільки розв'язків має задача?
-
Q:
Question 2
a. State the Refinement \( Q \) of a partition \( P \)
b. Explain the fundamental theorem of calculus.
c. Prove that a bounded function \( f:[a, b] \rightarrow \mathbb{R} \) is Riemann integrable if and only if for
every \( \varepsilon>0 \) there exists a partition \( P \) of \( [a, b] \), which may depend on \( E \), such that
\( U(f ; P)-L(f ; P)<E \).
d. Use the Fundamental theorem of Calculus to compute the derivative of \( F(x)= \)
\( \left(\int_{0}^{x} \cos (t) d t\right)^{3} \).
-
Q:
Analyzing Pictures
An effbook is an example of what material or resources of information?
\( \begin{array}{lll}\text { a. Print material } & \text { b. NonffPrint material } & \text { c. Digital Material }\end{array} \)
-
Q:
(7) A Hami melon weighs \( 1 \frac{1}{2} \mathrm{~kg} \), and a watermelon weighs \( 2 \frac{1}{4} \mathrm{~kg} \).
(a) What fraction of the weight of the watermelon is the weight of the Hami
melon?
-
Q:
31. The height of a window of a bus traveling with
uniform velocity is 0.5 m . Drops of paint are
released simultaneously from the highest and
lowest points of the window. The distance
between the two drops of paint on the ground
after hitting is 1 m . If the height of the lowest
point of the window of the bus is 2 m from the
ground, find the velocity with which the bus was
traveling. (Ignore air resistance on paint drops.)
-
Q:
Write each number in scientific notation.
\[ \begin{array}{l}\text { 3. } 3,816,000\end{array} \]
-
Q:
Bentangan inil mewakill pepelal
-
Q:
A quadratic equation, \( \mathrm{f}: x \mapsto a x^{2}+b x+c \), has a vertex at \( (-2,27) \) and
passes through the \( y \)-axis at \( y=15 \).
Find the equation and state the values of \( a \) and \( c \) separated by a comma
and with no spaces, e.g.: \( -15,2 \).
-
Q:
33. Найдите значение выражения:
\( \begin{array}{ll}\text { a) } 12 \frac{2}{5}-2 \frac{2}{7}: 1 \frac{19}{21} ; & \text { б) }\left(12 \frac{2}{5}-2 \frac{2}{7}\right): 1 \frac{19}{21}\end{array} \)
-
Q:
2. Write \( 4.07 \times 10^{-3} \) in standard form
-
Q:
8. तीन घंटियाँ क्रमश: 5 मिनट, 6 मिनट और 4 मिनट के अंतराल
बजती हैं। यदि वे 8 बजे सुबह एक साथ बजे हो, तो दूसरी बार सब ए
साथ कब बजेंगी?
\( \begin{array}{llll}\text { (A) } 6 \text { बजे } & \text { (B) } 7 \text { बजे } & \text { (C) } 8 \text { बजे } & \text { (D) } 9 \text { बजे }\end{array} \)
9. तीन घंटियाँ 10,12 तथा 15 मिनट के अंतराल पर बजते हैं। यटि
\( 7: 30 \) बजे प्रातः बजना प्रारंभ करते हैं, तो अगली बार वे एक ?
कब बजेंगी ?
\( \begin{array}{llll}\text { (A) } 7: 40 \text { बजे } & \text { (B) } 7: 50 \text { बजे } & \text { (C) } 8: 40 \text { बजे } & \text { (D) } 8: 30 \text { बजे }\end{array} \)
-
Q:
\( \begin{array}{ll}\text { 15. } y=\cos \left(\frac{3 x^{2}}{x+2}\right) & \text { 16. } y=\cos ^{3}\left(\frac{x^{2}}{1-x}\right) \\ \begin{array}{ll}\text { 17. } y=(3 x-2)^{2}\left(3-x^{2}\right)^{2} & \text { 18. } y=\left(2-3 x^{2}\right)^{4}\left(x^{7}+3\right)^{3} \\ \text { 19. } y=\frac{(x+1)^{2}}{3 x-4} & \text { 20. } y=\frac{2 x-3}{\left(x^{2}+4\right)^{2}}\end{array}\end{array} \)
-
Q:
33. Assertion \( (A) \) : Every line represented by linear equation in two variables of type
ax + by \( +\mathrm{c}=0(\mathrm{a} \neq 0, \mathrm{~b} \neq 0, \mathrm{c} \neq 0) \) always meet both the axes ( \( x \) - axis and \( y \) -
axis) exactly at one point.
Reason (R): Line represented by equation ax + by \( +\mathrm{c}=0 \) cuts \( x \) - axis at \( -\frac{c}{a} \) and
\( y \) - axis at \( -\frac{c}{b} \) as equation of \( x \) - axis is \( y=0 \) and equation \( y \) - axis is \( x=0 \)
-
Q:
1. State the missing exponent: \( 173.45=1.7345 \times 10^{7} \)
-
Q:
1.1.4 \( \quad \frac{7 m x}{3}=2 x+m \)
1.1.5 \( \quad 9^{2 x+1}=\sqrt{27^{2 x-10}} \)
-
Q:
FMU
Question 3
Use the exponent rules to calculate the value of \( \left(\frac{144}{9}\right)^{\frac{1}{2}} \) (without calculator)
-
Q:
He is making the step out of concrete. The concrete must be made up of
\[ 1 \text { part cement: } 2 \text { parts water: } 3 \text { parts shingle. } \]
He uses a small bucket to measure each part.
He estimates that he will need 18 buckets of concrete in total.
How many buckets of shingle will he need?
-
Q:
QUESTION 2
Represent the following on a number line:
\( 2.1 \quad\{x: x \geq-50 ; x \in \mathrm{Z}\} \)
\( 2.2 \quad(-10 ; 20] \)