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Other
What is the meaning of m in the formula \( \mathrm{A}=\mathrm{P}\left(1+\frac{r}{\mathrm{~m}}\right)^{n} \), and why is r divided by m ?
What is the meaning of m in the formula?
A. The principal
B. The number of compounding periods per year
C. The number of months
D. The interest rate
Economics
Simplificar.
\( \frac{\frac{x+2}{x^{2}-36}}{\frac{x^{2}-4}{x+6}} \)
\( \frac{1}{(x-6)(x-2)} ; x \neq 6,-6,2 \)
\( \frac{(x+2)(x+6)}{(x-2)(x-6)} ; x \neq 2,6 \)
\( \frac{x-2}{x-6} ; x \neq 6 \)
\( \frac{x+2}{x+6} ; x \neq-6,-2 \)
Algebra
A team of students lined up dominoes on the gym floor, 56 dominoes fell over and 44 are still
standing. What percentage of the dominoes fell over?
Write your answer using a percent sign (\%).
Arithmetic
Romanza tiene 9300 pesos en billetes de \( \$ 1000, \$ 500 \) y \( \$ 200 \). Si el númer
ee billetes de 500 excede en 2 a los de 1000 y en 3 a los de 200 , ¿cuánto
illetes de cada nominación tiene Romanza?
Algebra
How is the structure of Passage 1 different from the structure of Passage 23
A. Passage 1 presents differing opinions about a proposed bill, while Passage 2
Outlines the negative effects of backcountry biking.
B. Passage 1 describes the effects a proposed bill could have on bikers, while
Passage 2 compares and contrasts the effects bikes have on wildite.
C. Passage 1 introduces a problem with a bill and gives a solution, while
Passage 2 introduces a problem and then gives several possible reasons
for it.
D. Passage 1 outlines the steps needed to pass a bill to allow mountain bikes in
wilderness areas, while Passage 2 explains the impact of mountain bikes on
the land.
English
\( \begin{array}{l}x-2 y=3 \\ 5 x+3 y=2\end{array} \)
The lines whose equations are shown intersect at which point?
\( (1,-1) \)
\( (0,312) \)
\( (-1,1) \)
Algebra
Write an equation that expresses the relationship. Then solve the equation for \( u \).
\( n \) varies directly as the cube of \( b \) and inversely as \( u \).
\( n=\square \)
(Use k as the constant of variation.)
Algebra
Grade 5 English Language Arts-Part 2
6. In the Answer Document, select two sentences that compare the perspectives
presented in the passages.
A. The passages present differing views on how mountain bikes impact trails.
B. The passages present similar views on the purpose for visiting wilderness
trails.
C. The passages present similar views on the importance of protecting the
wilderness.
D. The passages present similar views on the safety risks presented by
mountain bikes on trails.
E. The passages present differing views on how desirable the trails would be
for mountain bikers.
English
12) \( \sqrt{1-20 n}+2=11 \)
Algebra
(d) \( \left|x-\frac{1}{2}\right|=2 \)
Algebra
The system shown has ___ solution(s)
\( \begin{array}{l}y=\frac{1}{2} x+1 \\ 2 y-x=2 \\ \text { infinite } \\ \text { no } \\ \text { one }\end{array} \)
Algebra
Allison is 33 years old and plans to retire at age 65 with \( \$ 1,390,000 \) in her retirement account. What amount would she have to set aside now in an investment paying \( 5 \% \) annual
interest if the compounding is done daily (assume 365 days in a year)?
The amount to be invested now is \( \$ \square \).
(Round to the nearest cent as needed.)
Economics
(c) \( |2 x+3|=1 \)
Algebra
9) \( \begin{array}{l} h(n)=4 n+1 \\ g(n)=n^{3}+5 \\ \text { Find } h(g(2))\end{array} \)
Algebra
2
Multiple Choice
1 point
Fill in the \( \qquad \) with \( \mathrm{a}<,> \), or \( = \) -10 \( \qquad \) 3
\( < \)
\( = \)
\( > \)
Pre Algebra
Allison is 33 years old and plans to retire at age 65 with \( \$ 1,190,000 \) in her retirement account. What amount would she have to set aside now in an investment paying \( 7 \% \) annual
interest if the compounding is done daily (assume 365 days in a year)?
The amount to be invested now is \( \$ 126,680.67 \).
(Round to the nearest cent as needed.)
Economics
An river has excess energy due to the river flowing down a very steep gradie
Physics
10) \( \begin{array}{l} g(n)=n-1 \\ h(n)=3 n-2 \\ \text { Find }(g \circ h)(-4)\end{array} \)
Algebra
Un automóvil lleva una velocidad inicial de \( 20 \mathrm{~km} / \mathrm{h} \)
al norte y a los 4 segundos su velocidad es de
\( 50 \mathrm{~km} / \mathrm{h} \)
Calcular:
Su aceleración y su desplazamiento en ese tiempo
Physics
\( \$ 1,500 \) is invested in two different accounts paying \( 4 \% \) and \( 5 \% \) interest. If a total of \( \$ 67 \) interest is earned after one year,
then how much money was invested at \( 4 \% \) ?
\( \$ 700 \)
\( \$ 800 \)
\( \$ 900 \)
Algebra
Select two details that support the answers in Part A.
A. "It would allow bikers to join hikers and horseback riders in those scenic,
undisturbed areas." (paragraph 1)
B. "They help people move about." (paragraph 5)
C. "He is with the Wilderness Society." (paragraph 6)
D. "Rowsome said that only about 10 to 12 percent of all U.S. public lands are
protected under the Wilderness Act." (paragraph 7)
E. "The mountain bikers say bikers should instead focus on working with interest
groups and lawmakers to negotiate." (paragraph 9)
English
If a boat that travels 23 miles per hour in still water is traveling with a current that has a rate of 2 miles per hour, how far
will the boat travel in 3 hours?
75 miles
69 miles
71 miles
Arithmetic
How did increasing the cell diameter affect the surface area to volume ratio?
B \( 1 \underline{\mathrm{U}} \quad \vdots \quad \mathrm{T} \quad \mathrm{T}_{2} \)
Biology
5) \( g(x)=x-1 \)
\( f(x)=x+3 \)
Find \( g(f(x)) \)
Algebra
16) \( \frac{2 p r q^{-3} \cdot 2 q r p^{2}}{(2 p)^{3}} \)
Algebra
4. Find the value of the ratios below in terms of \( \sqrt{2} \) and \( \sqrt{3} \) using the sum or
difference of two special angles.
\( \begin{array}{llll}4.1 \cos 15^{\circ} & \left.\text { [Hint: } 15^{\circ}=60^{\circ}-45^{\circ}\right] & 4.2 & \sin 75^{\circ} \\ 4.3 \cos 105^{\circ} & 4.4 & \sin 195^{\circ} \\ 4.5 \sin 165^{\circ} & 4.6 & \tan 15^{\circ}\end{array} \)
Trigonometry
This question has two parts. In the Answer Document, first, answer Part A. Then.
answer Part B.
Part A
Select two main ideas from Passage 1 .
A. More people are interested in mountain biking.
B. People can ride mountain bikes in limited places.
C. Bans on mountain bikes in wilderness creas should be reconsidered.
D. Mountain bikes provide people with easier access into hard-to-reach
areas of the widerness.
E. Solutions related to mountain biking in wilderness areas can be found if
people work together.
English
Read this sentence from Passage 1 .
"Lee says there's no evidence that mountain bike tires cause any more erosion
than hikers do." (paragraph 3)
What is the meaning of erosion as it is used in paragraph 3 of Passage 1 ?
A. drought
B. harm
C. pebbles
D. waste
English
\( J o h n \) is twice as old as Mary. The sum of their ages is 52 . How old is Mary?
If \( J= \) John's age and \( M= \) Mary's age, which system of equations could be used to solve the problem?
\[ J=M \text { and } J+M=52 \]
\( J=2 M \) and \( J M=52 \)
\( J \) and \( J+M=52 \)
Algebra
According to Bush, how might the Gulf War make America's economic situation worse?
Higher oil prices and higher defense costs would reduce the fiscal deficit problem.
Higher oil prices and higher defense costs would anger people by necessitating higher taxes.
Higher oil prices and higher defense costs would mean slower growth and more debt.
Higher oil prices slow our growth, and highe defense costs would only maketour fiscal deficit problem worse. That deficit was already greater than it should have been - a projected \( \$ 232 \) billion for the coming year. It must - it will - be reduced.
-President George H. W. Bush, September 11, 1990
Economics
\[
\begin{array}{ll}
H_{0}: \mu= & \text { T } 5496 \text { not daim } \\
H_{1}: \mu< & \text { T } 5496 \text { daim }
\end{array}
\]
This hypothesis test is a \( \square \) one-tailed test.
Espablat
\( \infty \)
Part: \( 1 / 5 \)
Part 2 of 5
(b) Find the critical value(s). Round the answer(s) to at least three decimal places. If there is more than one critical value, separate them with commas,
Critical value(s): \( \square \) 2.467
Statistics
Allison is 33 years old and plans to retire at age 65 with \( \$ 1,190,000 \) in her retirement account. What amount would she have to set aside now in an investment paying \( 7 \% \) annual
interest if the compounding is done daily (assume 365 days in a year)?
The amount to be invested now is \( \$ \square \).
(Round to the nearest cent as needed.)
Economics
Which of the following equations is equivalent to \( y=\frac{2}{3} x+\frac{1}{4} \) ?
\( y=8 x+3 \)
\( 12 y=8 x+3 \)
\( 12 y=2 x+1 \)
Algebra
\( \begin{array}{l}11 \text { Permudahkan/Simplify } 3^{4} \times 3^{n^{1}} \times 27^{2+n} \\ \text { A } 3^{2 n+10} \\ \text { B } 3^{4 n+10} \\ \text { C } 3^{5 n+8} \\ \text { D } 3^{3 n+10}\end{array} \quad 3^{4} \times 3^{n} \times\left(3^{3}\right)^{\frac{2}{2}} \)
Algebra
The lines whose equations are \( 2 x+y=3 z \) and \( x+y=6 z \) intersect at which point?
\( (3 z,-3 z) \)
\( (9 z,-15 z) \)
\( (-3 z, 9 z) \)
Algebra
6. The table shows the height of 10
bean plants in inches.
Create a line plot for the data in the table.
Statistics
Solve the following system of equations by the substitution method.
\( \begin{array}{l}5 x=y+6 \\ 2 x-3 y=4 \\ \text { What is the value of the } y \text {-coordinate? } \\ \text { 14/13 } \\ \text { 13/14 }\end{array} \)
Algebra
Ann and Tom want to establish a fund for their grandson's college education. What lump sum must they deposit at a \( 12 \% \) annual interest rate, compounded annually, in order to ha
\( \$ 20,000 \) in the fund at the end of 15 years?
They should deposit \( \$ \square \)
(Round up to the nearest cent.)
Pre Calculus
6. The table shows the height of 10
bean plants in inches.
Statistics
Cost of Braces The average cost for teeth straightening with metal braces is approximately \( \$ 5496 \). A nationwide franchise thinks that its cost is below that figure. A random sample of 28 patients across the country had an average cost of \( \$ 5157 \) with a standard deviation of \( \$ 628 \). At \( \alpha=0.005 \), can it be concluded that the mean is less than \( \$ 5496 \) ? Assume that the population is approximately normally distributed.
Part: \( 0 / 5 \)
Part 1 of 5
(a) State the hypotheses and identify the claim.
\[
\begin{array}{l}
H_{0}=\mu(\text { Choose one }) ~ \$ \square(\text { Choose one) T } \\
H_{1}=\mu(\text { Choose one } T \$ \text { (Choose one) } T
\end{array}
\]
This hypothesis test is a \( \square \) (Choose one) test.
Statistics
Percents
Estimating a tip without a ceafculator
Estimate a \( 5 \% \) tip on a bill of \( \$ 83.71 \) by first rounding the bill amount to the nearest ten dollars.
Arithmetic
Solve the following logarithmic equation.
\( \log (6 x+3)=1+\log (x-6) \)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(a) A. The solution set is \( \{\mid \) B. There is no solution.
(Simplify your answer. Type an exact answer. Use a comma to separate answers as needed.
B. The
Algebra
Allison is 33 years old and plans to retire at age 65 with \( \$ 1,190,000 \) in her retirement account. What amount would she have to set aside now in an investment paying \( 7 \% \) annual
interest if the compounding is done daily (assume 365 days in a year)?
The amount to be invested now is \( \$ \square \).
(Round to the nearest cent as needed.)
Economics
Susie had 9 apples. She ate 7 and gave 2 away.
How many does she have left?
\[
\frac{\text { zeto apples }}{(44-2)^{3} \div(6-4)^{3}}
\]
Caitlyn drew a parallelogram that has 16 inch sides. The height of the rhombus is 12 inches. What is the area of the parallelogram? B. (h)
\( \qquad \)
Lex built a rectangular pen outdoors for his dog Luther. The pen is 36 feet long and 27 feet wide. What is the area of the \( L(i d) \) pen?
The tallest player in WNBA history was 7 feet 2 inches tall. Which shows an equivalent height?
Arithmetic
\[
\text{Find } 2011^2 - 2010^2 \text{?}
\]
Algebra
Estimating a tip without a calculator
Estimate a \( 15 \% \) tip on a dinner bill of \( \$ 68.11 \) by first rounding the bill amount to the nearest ten dollars.
Estimated tip: \( \$ \square \)
Arithmetic
2. (16 pts.) Consider \( f(x)=\frac{x+3}{x-4} \) and \( g(x)=\frac{5}{x-6} \). Find the rules of the new functions below, simplifif
the results, if possible, and describe their domains.
(a) \( (f-g)(x)= \)
(b) \( \left(\frac{g}{f}\right)(x)= \)
Algebra
2. Determine the second derivative \( \frac{d^{\wedge} 2 y}{d x^{\wedge} 2} \) of \( \sec 2 \mathrm{x} \). ( 10 marks)
Calculus
(1.) \( \frac{\left(x^{2} y^{3} z^{-6}\right)\left(a^{5} x^{4} z^{3}\right)}{\left(a^{2} x^{3} y^{2} z^{6}\right)} \)
(2) \( \frac{\left(a^{-2} b^{5} c^{6} y^{9}\right)\left(a^{-4} b^{3} x^{6} z^{8}\right)}{\left(a^{6} c^{-3} x^{-4} z^{3}\right)} \)
(3) \( \frac{\left(x^{6} y^{7} z^{8}\right)\left(x^{3} y^{2} z^{1}\right)\left(a^{6} b^{4}\right.}{\left(a^{2} b^{4} c^{6}\right)\left(x^{1} y^{2} z^{3}\right)\left(x^{8} y^{7}\right.} \)
Algebra
Algebra 2
Standard 4.2 - Factor and solve polynomials
Date
\( 2 / 24 / 25 \)
1) Factor the polynomial completely: \( x^{3}+x^{2}+4 x+4 \)
Daily Pract
2) Solve: \( y^{3}-7 y^{2}-4 y+28=0 \)
3) Solve: \( \quad n^{3}+5 n^{2}-9 n=45 \)
4) Factor the polynomial completely: \( x^{4}-25 \)
\[
\begin{array}{l}
\text { let } x^{4}=a^{2}\left\{\begin{array}{l}
x^{4}-a 5 \\
x^{2}-25 \\
x^{2}-25 \\
(a-5)(a+5) \\
\left(x^{2}-5\right)\left(x^{2}+5\right)
\end{array}\right.
\end{array}
\]
5) Factor the polynomial completely: \( a^{4}+5 a^{2}-6 \)
6) Solve: \( \quad 3 s^{4}-s^{2}-24=0 \)
(hint: some answers may include i)
Algebra
A company makes electronic gadgets. They estimate that 3 out of every 100 gadgets
is faulty, but the company doesn't know which ones are faulty until a buyer
complains. Suppose the company makes a \( \$ 2 \) profit on the sale of any working
gadget, but suffers a loss of \( \$ 80 \) for every faulty gadget because they have to repair
the unit. Check whether the company can expect a profit in the long term.
Find the expected profit per gadget.
Round your answer to two decimal places.
Statistics
\( \int _{}^{}15(x+2)^{4} d \)
Calculus
Find the balance after 6 years if \( \$ 24000 \) is
invested at \( 3.6 \% \) p.a. compounded monthly.
Arithmetic
1. Prove the following:
\[ \begin{array}{l}\text { a) } \frac{2 \tan x-\sin 2 x}{2 \sin ^{2} x}=\tan x \\ \text { b) } \tan ^{2} x+1=\sec ^{2} x \\ \text { c) } \tan x+\frac{\cos x}{1+\sin x}=\sec x \\ \text { d) } \frac{\tan x \sin x}{\tan x+\sin x}=\frac{\tan x-\sin x}{\operatorname{can} x \sin x} \\ \text { e) } \frac{\tan x+\sec x}{\sec x\left(1+\frac{\tan x}{\operatorname{sen} x}\right)}=1 . \quad(20 \text { marks) }\end{array} \]
Trigonometry
Determine whether the given description corresponds to an observational study or an experiment.
12) A clinic gives a drug toa group of ten patients and a placebo to another group of ten patients to find out if
the drug has an effect on the patients' illness.
13) A political pollster reports that his candidate has a \( 10 \% \) lead in the polls with \( 10 \% \) undecided.
14) A stock analyst selects a stock from a group of twenty for investment by choosing the stock with the greatest
earnings per share reported for the last quarter.
Determine what type of observational study is described. Explain.
15) Researchers wanted to determine whether there was an association between high blood pressure and the
suppression of emotions. The researchers looked at 1800 adults enrolled in a Health Initiative Observational
Study. Each person was interviewed and asked about their response to emotions. In particular they were
asked whether their tendency was to express or to hold in anger and other emotions. The degree of
suppression of emotions was rated on a scale of 1 to 10 . Each person's blood pressure was also measured.
The researchers analyzed the results to determine whether there was an association between high blood
pressure and the suppression of emotions.
Statistics
Find the balance after 8 years if \( \$ 37400 \) is
invested at \( 7 \% \) p.a. compounded annually.
Arithmetic
In a certain game of chance, a wheel consists of 34 slots numbered \( 00,0,1,2 \ldots, 32 \). To play the game, a metal ball is spun around the wheel and is allowe parts (a) through (c) below.
(a) Determine the sample space. Choose the correct answer below.
A. The sample space is \( \{00\} \).
in The sample space is \( \{1,2,32\} \)
C. The sample space is \( \{00,0\} \).
D. The sample space is \( \langle 00,0,1,2, \ldots, 32\} \).
(b) Delermine the probability that the metal ball falls into the slot marked 7. Interpret this probability.
The probability that the metal ball falls into the slot marked 7 is \( \square \)
(Round to lour decimal places as needed.)
Probability
\( \int _{}^{}15(x+2)^{4} d \)
Calculus
Find the balance after 4 years if \( \$ 850 \) is
invested at \( 8 \% \) p.a. compounded annually.
Arithmetic
Expand the function.
\[ f(x)=(7 x-2)^{3} \]
\( \left.[?] x^{3}+\square x^{2}+\square x+\square\right] \)
Algebra
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