UpStudy Homework Questions and Solutions
Latest Questions
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Q:
Apokah jenis fungsi bogi
\[ \mathbf{y}=-\frac{20}{\mathbf{x}} ? \]
(gunokan huruf keal sohojo)
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Q:
1. Find the interval of convergence of the power series \( \sum_{n=1}^{+\infty} \frac{(x-1)^{n}}{n 3^{n}} \)
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Q:
\begin{tabular}{c|c|c|c|c|}\hline a) & b) & c) & d) & e) \\ \hline 18 cm & 8 cm & & 24 cm\end{tabular}
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Q:
Представь данное выражение \( \sqrt[4]{\frac{3}{5}} \) в виде степени с рациональным показателе
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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?
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Q:
What's the position of 9 in the number \( 932,805 ? \)
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Q:
\( \frac{11}{2} \) and \( \frac{11}{3} \)
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Q:
б) 3 т 6 ц \( =\ldots \) кг;
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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 \( b \).
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Q:
Transpose \( C=\sqrt{R T} \) to make \( R \) the subject
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Q:
б) 3 т 6 ц \( =\ldots \)
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Q:
Сократи дробь \( \frac{10+b 2}{100-b} \)
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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
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Q:
Berechne die fehlende Seitenlange in einem rechtwinkligen Dreleck \( (y+90 \%) \)
nde sinnvoll.
\( \begin{array}{ll}=6 \mathrm{~cm} ; b=9 \mathrm{~cm} & c= \\ =9 \mathrm{~cm} ; c=14 \mathrm{~cm} & a= \\ =14,5 \mathrm{~cm} ; c=19,7 \mathrm{~cm} & b=\end{array} \)
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Q:
Заполните пропуски:
а) 2 ц 86 кг \( =\ldots \) кг;
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Q:
Graded Quiz: Whole Numbers
Graded Quiz: Whole Numbers
Use the rules for multiplication by powers of 10 to calculate \( 3 \times 100 \).
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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:
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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:
\( \begin{array}{ll}1.1 \text { complementary } & \text { (2) } \\ 1.2 \text { exhausted } & \text { (2) } \\ 1.3 \text { mutually exclusive } & \text { (2) } \\ 1.4 \text { independent. } & \text { (2) } \\ 1.5 \text { Draw a Venn diagram to represent the given information. }\end{array} \)
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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?
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Q:
Упрости выражение:
\( \left(t^{\frac{1}{4}}+y^{\frac{1}{4}}\right) \cdot\left(t^{\frac{1}{8}}+y^{\frac{1}{8}}\right) \cdot\left(t^{\frac{1}{8}}-y^{\frac{1}{8}}\right) \)
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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
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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?
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Q:
(b) \( \sqrt{x-1} \geq \sqrt{15-3 x}-2 \)
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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?
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Q:
c) \( a^{2}+16 a+64 \)
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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
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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?
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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.
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Q:
रिक्त स्थान को मरिए-
\( \frac{-4}{13}-\frac{-3}{26}=\ldots \)
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Q:
Complete the comparison: 26 \&It ?
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Q:
2) \( \frac{4 a-1}{1-14 a} \)
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Q:
Complete the comparison: 26 \<?
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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 \( x \).
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Q:
\( 2 \begin{array}{l}\text { The distance between Ismailia and Eltal Elkebeer is } 45 \mathrm{~km} \text { and the drawing } \\ \text { scale is } 1: 3000000 \text {. Find the distance between them ob this map. } \\ \text { Solution }\end{array} \)
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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 -
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Q:
What's \( 1,112,433 \) rounded to the nearest ten thousand?
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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.
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Q:
Rakamları farklı iki basamaklı dört doğal
sayının toplamı 116 olduğuna göre bu sayıla-
rın en büyüğü en çok kaçtır?
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Q:
Magpunilit -
- Kellalakihant lalat
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Q:
Question 1 (5 points)
What's \( 1,112,433 \) ro
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Q:
भाग कीजिए \( (2 \sqrt[3]{216}-3 \sqrt{27}) \) को 3 से
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Q:
Which is more likely the distance from Earth to the sun, \( 1.5 \times 10^{9} \mathrm{ml} \)
\( 1.5 \times 10^{-8} \mathrm{mi} \) ?
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Q:
7. through \( (-1,4) \), perpendicular to \( y=-\frac{1}{8} x+3 \)
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Q:
1) \( \frac{45 a^{2} b}{30 a b} \)
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Q:
1) \( 45 a^{2} b \)
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Q:
der \( 4060 \times 10^{-1}, 40.6 \times 10^{-3} \), and \( 0.406 \times 10^{2} \) from least to greatest by using
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Q:
Factorise the following fully:
\( 3.2 .1 \quad 6 x^{3}+12 x^{2}-18 x y+24 x \)
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Q:
uestion 4
a) Solve the following equation for \( p: \frac{p^{2}}{4}=25 \)
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Q:
The yalue of \( 249^{2}-248^{2} \)
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Q:
What is the largest 4
digit number
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Q:
(b) How many times the weight of the Hami melon is the weight of the
watermelon?
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Q:
Order \( 4060 \times 10^{-3}, 40.6 \times 10^{-3} \), and \( 0.406 \times 10^{2} \) from least to greatest by using
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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.
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Q:
ergof zero polynomial is
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Q:
What is the decimal value of the 2 's complement representation: \( 00110001_{2} \)
\( 153_{10} \)
\( 49_{10} \)
\( -153_{10} \)
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Q:
\( 1453 \times 272 \) (by rounding each factor to the nearest hundred
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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 \( F(x)= \)
\( \left(\int_{0}^{x} \cos (t) d t\right)^{3} \).
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Q:
(a) 9
The, value of \( 3 \sqrt{ } 5+\sqrt{5} \) is equal to
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Q:
सhges
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Q:
Given that \( D=\frac{\sqrt{F+P}}{F-P} \), make \( P \) the Subject
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Q:
\( 82+97+53 \) (by rounding addends to the highest place value)
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e) \( 49+28 b+4 b^{2} \)
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Q:
c) \( a^{2}+16 a+64 \)
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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)
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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.
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Q:
4. \( 0.000134 \times 10^{2} \)
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Q:
Use 4 bits to represent the decimal number -610 in sign and size code
\( 00110_{2} \)
\( 1110_{2} \)
\( 11110_{2} \)
\( 0110_{2} \)
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Q:
The value of \( (81)^{0.16} \times(81)^{0.09} \) is equal (o-
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Q:
\( \sqrt{x}+3=5.5 \), then value of \( x \) is
\( \begin{array}{ll}\text { a) } 6.25 & \text { b) } 2.5\end{array} \)
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Q:
4. \( 0.000134 \times 10^{2} \)
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Q:
State the numbe. significant digits in each measurement
a. 0.0033 ft
b. 2010 kg
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Q:
State the numbe, significant digits in each measuremen
a. 0.0033 ft
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Q:
The value of \( 2 . \overline{6}-0 . \overline{9} \) is
\( \begin{array}{ll}\text { (a) } 4 & \text { (b) } \frac{1}{4}\end{array} \)
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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?
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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 \( F(x)= \)
\( \left(\int_{0}^{x} \cos (t) d t\right)^{3} \).
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Q:
Analyzing Pictures
An effbook is an example of what material or resources of information?
\( \begin{array}{lll}\text { a. Print material } & \text { b. NonffPrint material } & \text { c. Digital Material }\end{array} \)
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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?
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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.)
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Q:
Write each number in scientific notation.
\[ \begin{array}{l}\text { 3. } 3,816,000\end{array} \]
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Q:
Bentangan inil mewakill pepelal
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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.: \( -15,2 \).
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Q:
33. Найдите значение выражения:
\( \begin{array}{ll}\text { a) } 12 \frac{2}{5}-2 \frac{2}{7}: 1 \frac{19}{21} ; & \text { б) }\left(12 \frac{2}{5}-2 \frac{2}{7}\right): 1 \frac{19}{21}\end{array} \)
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Q:
2. Write \( 4.07 \times 10^{-3} \) in standard form
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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 ?
\( \begin{array}{llll}\text { (A) } 7: 40 \text { बजे } & \text { (B) } 7: 50 \text { बजे } & \text { (C) } 8: 40 \text { बजे } & \text { (D) } 8: 30 \text { बजे }\end{array} \)
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Q:
\( \begin{array}{ll}\text { 15. } y=\cos \left(\frac{3 x^{2}}{x+2}\right) & \text { 16. } y=\cos ^{3}\left(\frac{x^{2}}{1-x}\right) \\ \begin{array}{ll}\text { 17. } y=(3 x-2)^{2}\left(3-x^{2}\right)^{2} & \text { 18. } y=\left(2-3 x^{2}\right)^{4}\left(x^{7}+3\right)^{3} \\ \text { 19. } y=\frac{(x+1)^{2}}{3 x-4} & \text { 20. } y=\frac{2 x-3}{\left(x^{2}+4\right)^{2}}\end{array}\end{array} \)
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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 \( x=0 \)
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Q:
1. State the missing exponent: \( 173.45=1.7345 \times 10^{7} \)
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Q:
1.1.4 \( \quad \frac{7 m x}{3}=2 x+m \)
1.1.5 \( \quad 9^{2 x+1}=\sqrt{27^{2 x-10}} \)
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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:
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?
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Q:
QUESTION 2
Represent the following on a number line:
\( 2.1 \quad\{x: x \geq-50 ; x \in \mathrm{Z}\} \)
\( 2.2 \quad(-10 ; 20] \)
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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?
-
Q:
Incorrect
Itry left. Try once more
\( \frac{3}{12} \) feet)
-
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.
-
Q:
Alin and eala had 26 stickers. Whin had 8 more stickers than Bala. How many
stickers did Bala have?
-
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.
-
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)
-
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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Q:
24. \( \begin{array}{r}7 x_{1}-2 x_{2}=3 \\ 3 x_{1}+x_{2}=5\end{array} \)
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Q:
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?
-
Q:
phove that \( \sqrt{2} \) \iebetween 14 aed
-
Q:
BASE -3
PERIME
ANTO
-
Q:
b) \( -3 / 4 \)
-
Q:
A rectangular prism has
faces.
Write the number)
Check
-
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
-
Q:
(b) Simpiify \( \frac{d+2}{e-d} \times \frac{d^{2}-2 d e+e^{2}}{d^{2}+2 d-d e-2 e} \)
-
Q:
A tetrahedron has 4 triangular faces
-
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 ?
-
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 \( k \).
-
Q:
Wamo. \( A B C D \) - nawd, \( A C B=35^{\circ} \)
C Haliz. \( \angle A O B, \angle B O B C \)
-
Q:
(b) Simplify \( \frac{d+2}{e-d} \times \frac{d^{2}-2 d e+e^{2}}{d^{2}+2 d-d e-2 e} \)
-
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 \( x=a \).
[S]
-
Q:
3) \( \frac{1,2}{6} \)
-
Q:
Damo. \( A B C D \) - ramo, \( A C B=35^{\circ} \)
Halim. \( \angle A O B, \angle B O B C \)
-
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?
-
Q:
Round off nearest thousand
840 km
-
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
-
Q:
10 A talula a suguir lista os salários a o nivel de escolaridade de deg um
cionnaves de derminada paltrica.
-
Q:
Серед запропонованих виразів оберіть цілі.
Оберіть всі можливі варіанти
\( \square a^{2}-b \)
\( \square \frac{1}{3} x^{3}+5 b \)
\( \square \frac{1}{z}+\frac{1}{y} \)
\( \square \frac{1}{4} a \)
\( \square \frac{1+b}{a-3} \)
\( \square \)
-
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
-
Q:
\( \left\{\begin{array}{l}2 x+3 y=7 \\ 3 x+4 y=10\end{array} \cdots\right. \) (1)
-
Q:
Обчислити значення виразу \( (4 c-20)(c+3) \), якщо с = \( =0,5 \)
-
Q:
Формула для визначення периметра прямокутника має вигляд \( P=2(a+b) \). Це вираз...
-
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 \( h a \)
-
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?
-
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
-
Q:
7) \( \sqrt[12]{64^{8}}= \)
-
Q:
6. If \( f(x)=x^{2}-3 x+8 \), what is the value of \( f(x) \) when \( x=2 \)
-
Q:
What is the equation of the line perpendicular to the line with equ ation \( 7 x+2 y=14 \) and passing through \( (7,-6) 7 \)
-
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 \( F \).
-
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?
-
Q:
\( \frac { n - 1 ) ! + ( n + 1 ) ! } { n ^ { \prime } } \)
-
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.
-
Q:
5. What is the value of \( x \) of the rational equation \( \frac{8 x}{6}-\frac{1}{2}=\frac{1}{3} \)
-
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?
-
Q:
\( 8.0 ; 375 \mathrm{~g} / \mathrm{cm}^{3}=\ldots \mathrm{Mg} / \mathrm{nm}^{3} 3,75 x \)
9. \( 420 \mathrm{fm} . \mathrm{Mg}^{2} / \mathrm{s}^{2}=\ldots . \mathrm{Mm} . \mathrm{mg} / \mathrm{mnt}^{2} \)
-
Q:
What is the smallest power of 10 that would exceed \( 907,654,321,656,765 \),
-
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 \( \$ 1.00 \) ?
-
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 \( A P B \).
-
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.
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Q:
Solve the inequality: \(4 - x \leq 2\)
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Q:
Se consideră funcția \( f: \mathbb{R} \rightarrow \mathbb{R}, f(x)=\frac{3 x}{x^{2}+1} \)
a) Arătați că \( f^{\prime}(x)=\frac{3\left(1-x^{2}\right)}{\left(x^{2}+1\right)^{2}}, x \in \mathbb{R} \).
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Q:
\( 2 km / min = \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \)
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Q:
\( \begin{array}{ll}\text { 27. U nekoj školi } 55 \% \text { svih učenika su djevojčice. } & \text { od n } \\ \text { Ostalo su djecaci i nijh je za } 60 \text { manje nego dje- } & \text { da n } \\ \text { vojčica. Koliko je uçenika u toj školi? }\end{array} \)