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Problem 2801

10 feet is the same as how many meters?
Hint: $1 \mathrm{ft} \approx 0.305 \mathrm{~m}$
Round your answer to the nearest tenth.

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Problem 2802

4 milliliters is how many teaspoons? Hint: $1 \mathrm{~mL} \approx 0.2$ tsp Round your answer to the nearest tenth. $\square$

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Problem 2803

Solve. $\frac{6}{5}+\frac{1}{4}=\frac{1}{x}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\{x \mid x$ is a real number and $x \neq$ $\square$ \}. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. The solution(s) is/are $\square$ . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) C. There is no solution.

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Problem 2804

Next Page Listen (1 point) Find the mode of the set of scores. 9,5,9,7,12,4,11,8 0, 6 08 8.125 08 8.5 Previous Page Next Page Submer

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Problem 2805

Solve. $\frac{1}{2}-\frac{10}{49 y}=\frac{24}{49}-\frac{1}{14 y}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution(s) is/are $\square$ . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. The solution set is $\{y \mid y$ is a real number and $y \neq$ $\square$ \}. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) C. There is no solution.

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Problem 2806

Find the unit rate. $\frac{108 \text { people }}{12 \text { days }}$ $\square$ people $\div$ $\square$ $\square$ $\square$ $\square$ days $\div$ $\square$ $\square$ $\square$ (Type whole numbers or decimals.)

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Problem 2807

Solve. $\frac{12}{y-6}-\frac{2}{y}=\frac{16 y+6}{y^{2}-36}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution(s) is/are $\square$ . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. The solution set is $\{y \mid y$ is a real number and $y \neq$ $\square$ \}. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) C. There is no solution.

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Problem 2808

$2 \frac{1}{2} \times 1 \frac{5}{6}=$ $\square$
Submit

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Problem 2809

Question
Solve the system by substitution. $\begin{array}{l} y=-x \\ y=-4 x+12 \end{array}$
Answer Attempt 1 out of 2 $(\square$ $\square$ ) Submit Answer

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Problem 2810

Question
Find the solution of the system of equations. $\begin{aligned} -10 x-5 y & =5 \\ -4 x+5 y & =23 \end{aligned}$
Answer Attempt 1 out of 2 $\square$ $\square$ Sulhmit Answer

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Problem 2811

2. Find the sum: $\sum_{n=2}^{\infty} \frac{1}{3^{n}}$

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Problem 2812

13. Find the derivative of $f(x)=\sqrt{1-3 x}$ at $a \neq 1 / 3$ using the definition. Use this to find an equation for the tangent line at $(a, f(a))$ .

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Problem 2813

Presentation Sessio... GameZERG - Free 0. My IXL Learning Assessment Analytics Eighth grade，14.10 Solve one-step and two-step equations: word problems HCP You have prizes to reveall Go to Video ( 1 Questions answered
Jake and his friends went to the Dye Storm paint-tag course to celebrate the end of the 6 school semester. The course charges $\$ 36$ for an hour of group tag plus a rental fee for each paint marker. Jake's group played for one hour, rented 5 paint markers, and paid a total of $\$ 86$ . How much did it cost to rent each paint marker? Time elapsed 00 16 24 HR MIN Sec \\square$ Submit SmartScore out of 1000 53

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Problem 2814

Estimate the sum by rounding each number to the nearest hundred thousand and then adding. $983,123+989,514$
The sum is approximately $\square$

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Problem 2815

athXL for School: Done ce \& Problem Solving 2 5-5: MathXL for scinoul. Additional Practice
Part 1 of 3
In 9-11, use the table. \begin{tabular}{|l|c|} \hline \multicolumn{2}{|c|}{ Distance Driven Using } \\ \hline \multicolumn{1}{|c|}{ 10 } & Gallons of Gasoline \\ \hline Vehicle & Miles \\ \hline Car & 160 \\ \hline Van & 60 \\ \hline Motorcycle & 560 \\ \hline \end{tabular}
9. Stella used 25 gallons of gas driving to and from school this week in a van. How many miles did she drive this week? Explain how you know.
Since the van travels $\square$ miles using 1 gallon of gasoline, Stella drove $\square$ miles using 25 gallons of gasoline. (Type whole numbers.)

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Problem 2816

MA 107 Test 3 (Livengood) Problem 2 Carbon-14 is a radioactive isotype of carbon. Assuming that modern-day carbon and ancient carbon contain the same amount of carbon-14, we can measure the amount of carbon-14 present in ancient artifacts to estimate how old they are.
An ancient painting is found in a cave. One of the pigments in the painting is charcoal, which contains carbon-14. Therefore, we can measure the carbon-14 present in the painting and compare it to the carbon-14 present in the living tree that the wood for the charcoal came from.
The charcoal in this painting contains $20 \%$ of the carbon-14 that modern-day charcoal contains. The half-life of carbon-14 is about 5730 years. Using the continuous exponential decay formula $A(t)=A_{0} e^{k t}$ , determine how old the charcoal used to make the painting is.

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Problem 2817

Estimate the difference by rounding each number to the nearest hundred and then subtracting. $663-428$

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Problem 2818

Solve for $x$ . $\sqrt{x-10}+\sqrt{x+5}=5$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution(s) is/are $\square$ . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There is no solution.

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Problem 2819

5) $\quad 1=x^{2}+6 x+7 \quad A=1 \quad B=6 \quad C=7$

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Problem 2820

Solve: $-1.5 x+2.25>15.75$ (1 point) $x>-9$ $x<-9$ $x>-23.625$ $x<-23.625$

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Problem 2821

9. MOON The expression $\frac{w}{6}$ gives the weight of an object on the IVIOon pounds with a weight of $\underset{w}{w}$ pounds on Earth. What is the weight of a space suit on the Moon if the space suit weighs 178.2 pounds on Earth?

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Problem 2822

What volume of 0.166 M NaOH is needed to neutralize 1.00 mL of $0.261 \mathrm{M} \mathrm{HNO}_{3}$ ? a. $\quad 0.0157 \mathrm{~mL}$ b. $\quad 1.57 \mathrm{~mL}$ c. $\quad 15.7 \mathrm{~mL}$ d. $\quad 157 \mathrm{~mL}$ e. $\quad 1.57 \mathrm{~L}$

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Problem 2823

25) $-17=x-15$

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Problem 2824

10. A student answers $90 \%$ of the questions on a math exam correctly. If he answers 27 questions correctly, how many questions are on the exam?

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Problem 2825

2. 5 0 \longdiv { 7 8 2 } . 6 \longdiv { 8 5 2 9 }

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Problem 2826

$3+\frac{5}{2 p}=\frac{4}{p}$

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Problem 2827

Question Watch Video Show
If $\cos \theta=\frac{4}{\sqrt{26}}$ and angle $\theta$ is in Quadrant I, what is the exact value of $\tan 2 \theta$ in simplest radical form?

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Problem 2828

Find the number of boxes needed, $x$ , for 42 granola bars. Enter your answer in the box. \begin{tabular}{|l|c|c|} \hline Granola Bars & 12 & 42 \\ \hline Boxes & 2 & $x$ \\ \hline \end{tabular} $x=$

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Problem 2829

Question 20 (4 points) $\checkmark$ Saved
Solve the equation $\frac{x+2}{x-7}=\frac{x+7}{x+3}$ . $x=-11$ $x=-\frac{55}{6}$ no solution $x=7, x=-3$

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Problem 2830

What is the value of $k$ in the function $f(x)=\frac{2 x+k}{x+3}$ if its graph passes through the point ( 2 , 4.2)? 21.2 6 17 none of the above

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Problem 2831

Evaluate the expression. Let $n=4$ .
7. $n+7-3$
8. $5 n \div 2$
9. $3+(n \div 2)$
10. $3 n+5$
11. $(2.7 \cdot n)-3$
12. $100-12 n$

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Problem 2832

c. Let $h(x)=4 x^{2}-46 x+18$ . Determine the root(s) of $h$ .

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Problem 2833

Evaluate the expression. Let $n=4$ .
7. $n+7-3$
8. $5 n \div 2$
9. $3+(n \div 2)$
10. $3 n+5$
11. $(2.7 \cdot n)-3$
12. $100-12 n$

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Problem 2834

$-2 \cdot x \cdot y+e^{x+y}=20$ a. Find $\frac{\mathrm{d} y}{\mathrm{~d} x}$ in terms of $x$ and $y$ . $\frac{\mathrm{d} y}{\mathrm{~d} x}=$ $a^{b}$ $\sin (a)$ $\frac{\partial}{\partial x} f$ : $\infty$ $\alpha$ $\Omega$ $\frac{2 \cdot y-e^{x+y}}{e^{x+y}-2 \cdot x}$ b. Find the value of $\frac{d y}{d x}$ at the point $P(\sqrt{2},-\sqrt{2})$ . $\left.\frac{\mathrm{d} y}{\mathrm{~d} x}\right|_{(\sqrt{2},-\sqrt{2})}=$ $a^{b}$ $\sin (a)$ $\frac{\partial}{\partial x} f$ $\infty$ $\alpha$ $\Omega$

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Problem 2835

Use ordinary interest: \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline Principal & Interest Rate & Date Borrowed & Date Repaied & Time & Simple Interest & Amount Paid Back \\ \hline $\$ 9,000$ & 11 & $\%$ & April 20 & August 08 & & days & \\ \hline \end{tabular}

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Problem 2836

4) Leona was in a golf tournament last week. All of her four rounds of gold were within 2 strokes of par. If par was 72 , what are the maximum and minimum scores that Leona could have made in the golf tournament?

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Problem 2837

Lacey volunteers in the lunchroom once a week and hands out drinks to the students who buy lunch. So far today, 9 students chose orange juice, 8 chose milk, and 13 chose water.
Based on the data, what is the probability that the next student will choose milk? Write your answer as a fraction or whole number. $\square$

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Problem 2838

5 Hugo, Tom et Safwan collectionnent les cartes de hockey. Hugo a 9 cartes de plus que le double des cartes de Tom. Safwan a 13 cartes de moins que le quadruple des cartes de Tom.
Si Hugo et Safwan ont le même nombre de cartes, combien en ont-ils chacun?

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Problem 2839

6 A particle is projected from rest from a point along a smooth horizontal table at $0.7 \mathrm{~m} \mathrm{~s}^{-1}$ . The table is 1 m high and stands on horizontal ground. Given that it takes 2 seconds from the moment of projection until the ball hits the ground, work out the distance from the point $A$ to the edge of the table. (4 marks)

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Problem 2840

This week they received 879 more books. How many books did they receive in all?

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Problem 2841

A stereo system costs $\$ 275$ . It was on sale for $15 \%$ off. The salesperson receives a $2 \%$ commission. How much of a commission do they receive? (c2016/2020 Lindsay Perro. All rights reserved.

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Problem 2842

$\mathrm{q}=$ 1148
12. (S pet] The supply aquation and the demand equation for a product are given below. Find the equiltrium quantion Show your work. Solutions by calculator receive no credit. Supply $500-39=74$ $\text { Demand } 16 p+7 q=870$

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Problem 2843

1) Amiah must unload a truck filled with 25 bags of dog food. Each bag weights 50.75 pounds. How many pounds does she have to lift? a. 12,687.50 pounds b. $1,268.75$ pounds c. 126.875 pounds d. 1250 pounds

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Problem 2844

Calculate the Surface Area of the Cone Lcylle le \begin{tabular}{|l|l|l|l|l|l|} \hline Figure & $\pi$ & $r$ radius & $r^{2}$ & lislant height $S A=\pi r^{2}+\pi r l$ \\ \hline \end{tabular}

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Problem 2845

```latex Finn is preparing supplies for electrical and carpentry teams. He places measuring tapes into boxes of 6. If Finn has 26 measuring tapes in total, how many full boxes does he use? ```

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Problem 2846

2) A soul food restaurant purchased 1528.80 pounds of flour. If they received 50 identical bags, how much rice was in each bag? a. 30.576 pounds b. 305.76 pounds c. 3.0576 pounds d. None of the above

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Problem 2847

3. Priscilla bought cheese that weighs $\frac{3}{4}$ pounds. If she divides it into portions that are each $\frac{1}{8}$ pound, how many portions can she make?

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Problem 2848

J) How many ounces are there in 8 grams? ()) Hint: $1 \mathrm{~g} \approx 0.035 \mathrm{oz}$ J) Round your answer to the nearest tenth. $\square$

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Problem 2849

8 feet is how many meters? Hint: $1 \mathrm{ft} \approx 0.305 \mathrm{~m}$ Round your answer to the nearest tenth. $\square$

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Problem 2850

How many gallons are there in 3 liters? Hint: 1 L $\approx 0.26 \mathrm{gal}$ Round your answer to the nearest tenth. $\square$

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Problem 2851

4) At the end of a runner's half marathon, they ended up 510 feet above sea level. What was their change in elevation if the start was -320 feet below sea level?

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Problem 2852

$9+(516-226)$

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Problem 2853

4 teaspoons is how many milliliters? Hint: 1 tsp $\approx 4.9 \mathrm{~mL}$ Round your answer to the nearest tenth. $\square$

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Problem 2854

13 kilometers is how many miles? Hint: $1 \mathrm{~km} \approx 0.6 \mathrm{mi}$ Round your answer to the nearest tenth. $\square$

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Problem 2855

5. $154 \div 7=$

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Problem 2856

$342 \div 9=$

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Problem 2857

11 Mark for Review $\frac{d}{d x}\left(\cos ^{-1} x\right)=$ (A) $-\frac{1}{\sqrt{1-x^{2}}}$ (B) $\frac{1}{\sqrt{1-x^{2}}}$ (C) $-\sin ^{-1} x$ (D) $-\cos ^{-2} x$

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Problem 2858

7. Will stacked 135 quarters. He put 9 quarters into each stack How many stacks did he make?

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Problem 2859

Which proportion could you use to convert 32 ounces to pounds? $\begin{array}{l} \frac{16 \text { ounces }}{1 \text { pound }}=\frac{? \text { pounds }}{32 \text { ounces }} \\ \frac{16 \text { ounces }}{1 \text { pound }}=\frac{32 \text { ounces }}{? \text { pounds }} \end{array}$
Convert. 32 ounces = $\square$ pounds

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Problem 2860

Let $T_{1}$ be the time between a car accident and reporting a claim to the insurance company. Let $T_{2}$ be the time between the report of the claim and payment of the claim. The joint density function of $T_{1}$ and $T_{2}, f\left(t_{1}, t_{2}\right)$ , is constant over the region $0<t_{1}<6,0<t_{2}<6, t_{1}+t_{2}<10$ , and zero otherwise.
Calculate $\mathrm{E}\left(T_{1}+T_{2}\right)$ , the expected time between a car accident and payment of the claim. A. 6.0 B. 5.7 c. 5.0 D. 4.9 E. 6.7

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Problem 2861

If an object travels upward at a velocity of $v$ feet per second from $s$ feet above the ground, the object's height in feet, $h$ , after $t$ seconds can be modeled by the formula $h=-16 t^{2}+v t+s$ $\begin{array}{l} 0=-16 t^{2}+ \\ 450 t+100 \\ 0=-16 t^{2}+ \\ 100 t+450 \end{array}$ 4)) To the nearest tenth of a second, how long does it take the rocket to hit the ground after running out of fuel? $\square$ seconds

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Problem 2862

9. There are 210 workers at the football stadium to help clean up after the game. The workers are divided into 5 equal teams. How many workers are on each team?

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Problem 2863

13. If $\cos \theta=0.5000$ , find the value of $\theta$ correct to two decimal places, where $0 \leq \theta<2 \pi$ .
13a Find the acute angle $\theta$ that solves the equation. $\theta=$ Enter your next step here

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Problem 2864

3. Nasir ran $5 \frac{1}{2}$ laps around a track. If Mr. Rajiyah ra $1 / 4$ laps around the same track, how many more laps did Nasir run than Mr. Rajiyah?

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Problem 2865

The line $k$ has a slope of -2 . The line $j$ makes an angle of $30^{\circ}$ with $k$ . Find one possible value of the slope of the line $j$ . Give your answer in the form $d+e \sqrt{f}$ , where $d, e, f \in \mathbb{Z}$ .

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Problem 2866

A college offers 2 introductory courses in history, 4 in science, 2 in mathematics, 4 in philosophy, and 1 in English. a. If a student takes one course in each area during her first semester, how many course selections are possible? $\square$ b. If a part-time student can afford to take only one introductory course, how many selections are possible? $\square$

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Problem 2867

Look at this diagram:
If $\overleftrightarrow{H J}$ and $\overleftrightarrow{K M}$ are parallel lines and $m \angle J I G=123^{\circ}$ , what is $m \angle M L I$ ? $\square$

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Problem 2868

3. [0/1 Points] DETAILS MYNOTES
A plane flying horizontally at an altitude of 3 miles and a speed of $440 \mathrm{mi} / \mathrm{h}$ passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 4 miles away from the station. (Round your answer to the nearest whole number.)
292 $x$ mi/h
Enhanced Feedback Please try again. Keep in mind that distance $=\sqrt{(\text { altitude })^{2}+(\text { horizontal distance })^{2}}$ (or $y^{2}=x^{2}+h^{2}$ .) Differentiate with respect to $t$ on both sides of the equation, using the Chain Rule, to solve for $\frac{d y}{d t}$ . The given speed of the plane is $\frac{d x}{d t}$ . Need Help? Read It

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Problem 2869

12. Extend Your Thinking How can you find $316 \div 4$ two different ways by using different partial quotients in each solution?

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Problem 2870

1) A $10.31-\mathrm{kg}$ box is at rest when Joseph begins pushing it with a force of +18.66 N , causing it to move 3.64 m . Neglect friction. a) How much work did Joseph do on the box? \begin{tabular}{|l|l|} \hline & J \\ \hline \end{tabular} b) How fast is the box moving after 3.64 m ? \begin{tabular}{|ll|} \hline $3.63 \mathrm{~m} / \mathrm{s}$ \\ \hline \end{tabular}

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Problem 2871

Solve for all possible values of x . $\sqrt{14-2 x}=x-7$

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Problem 2872

If an object travels upward at a velocity of $v$ feet per second from $s$ feet above the ground, the object's height in feet, $h$ , after $t$ seconds can be modeled by the formula $h=-16 t^{2}+v t+s$ . $\begin{array}{c} 10=-16 t^{2}+ \\ 22 t+5 \end{array}$ $\begin{array}{c} 10=-16 t^{2}+ \\ 5 t+22 \end{array}$
To the nearest tenth of a second, how long is the ball in the air before going through the hoop? $\square$ seconds

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Problem 2873

$\begin{array}{c} 8=-15 t^{2} \\ 0=-16 t^{2}+8 \end{array}$
To the nearest terest of a second, how lone aoes it laike far the apple to reach the groume? $\square$ seconals

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Problem 2874

Evaluate when $n=-4$ [3.1]
43. $5 n$
44. $17-2 n$
Name the property illustrated. [3.2, 3.3]
45. $3+a=a+3$
46. $9+(b+6)=(9+b)+6$
47. $8(g+7)=8 g+56$
48. $5 \cdot 0=0$
Factor each expression using the Distributive Property. [3.4]
49. $5 x+25$
50. $7 m-49$
51. Evaluate: $(3+7) \cdot 6+12 \div 6 \quad$ [2.7]
52. Evaluate: $(3-5)^{2}+3 \cdot 4$ [2.7] A. 62 A. 8 B. 12 B. -4 C. 30 C. 16 D. 47 D. 28 E. none of these E. none of these

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Problem 2875

For the given confidence level and values of $x$ and $n$ , find the following. $x=46, n=98, \text { confidence level } 80 \%$
Part: $0 / 3$
Part 1 of 3 (a) Find the point estimate. Round the answers to at least four decimal places, if necessary
The point estimate for the given data is $\square$

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Problem 2876

expressions related? Multiply both 12 and 6 by $\square$ to make 120 and 60.
Multiply both 12 and 6 by $\square$ to make 1,200 and 600 .

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Problem 2877

Sleep apnea: Sleep apnea is a disorder in which there are pauses in breathing during sleep. People with this condition must wake up frequently to breathe. In a sample of 434 people aged 65 and over, 106 of them had sleep apnea.
Part: 0 / 3
Part 1 of 3 (a) Find a point estimate for the population proportion of those aged 65 and over who have sleep apnea. Round the answer to three decimal places.
The point estimate for the population proportion of those aged 65 and over who have sleep apnea is $\square$

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Problem 2878

Explaining a Solution
Solve the proportion using equivalent ratios. Explain the steps you used to solve the proportion, and include the answer in your response. $\frac{10}{3}=\frac{20}{x}$

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Problem 2879

The figure below contains two right triangles with one common side. The length of the segment $B C$ is $|B C|=2 \mathrm{~cm}$ , the length of the segment $A D$ is $|A D|=8 \mathrm{~cm}$ , and the angle $\angle D A B$ is $\angle D A B=53^{\circ}$ .
Find each of the following (note that the angles you plug into trigonometric functions must be in radians): The length of the line segment $B D:|B D|=6.389$ $\square$ cm . The tangent of angle $\theta=\angle B D C: \tan (\theta)=0.313$ The length of the line segement $C D:|C D|=1$ (1) cm .

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Problem 2880

The hypotenuse of a right triangle is 3 times as long as its shorter leg. The longer leg is 12 centimeters long
To the nearest tenth of a cenfimeter, what is the length of the triangle's shorter leg? ) $\square$ Gentimeters

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Problem 2881

Differentiate the following function. $\begin{array}{l} y=\frac{e^{x}-2 e^{-x}}{e^{x}+2 e^{-x}} \\ y^{\prime}=\square \end{array}$

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Problem 2882

onvert 8.8 C to Fahrenheit. Round to the nearest tenth when necessary. 88.4 F 47.8 F 87.4 F 48.9 F

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Problem 2883

Solve $\frac{1 / 3}{5}=\frac{a}{20}$ $a=3 / 5$ $a=3 / 4$ $a=4 / 3$ $a=5 / 3$

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Problem 2884

What is the interest earned after 1 year in a savings account with an initial investment of $\$ 826$ and a 3.5\% simple interest rate?
Interest = \\square$ ?

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Problem 2885

Assume an employee of Rocco Rock Company earns $\$ 1,900$ of gross wages during the current pay period and is required to remit to the government $\$ 190$ for income tax and $\$ 95$ for FICA. Consider the following two procedures for paying the employee: \begin{tabular}{ll} \multicolumn{1}{c}{ Procedure 1 (Withholdings) } & \multicolumn{1}{c}{ Procedure 2 (No Withholdings) } \\ Rocco Rock Company pays the employee net & Rocco Rock Company pays the employee gross \\ wages of $\$ 1,615$ and will remit income taxes & wages of $\$ 1,900$ and the employee is \\ and FICA on behalf of the employee. & responsible for remitting income taxes and \\ & FICA. \end{tabular}
Required:
1. Ignoring employer payroll taxes, under each procedure calculate: a. the total amount to be paid by the company and b. the amount of cash the employee will have after satisfying all responsibilities to the government. Do your answers for procedures 1 and 2 differ for (a)? For (b)?
2. Which approach does the government require?
3. Considering that employers are responsible for matching employees' FICA contributions, which procedure will employers prefer?
4. Prepare the journal entries required by the employer under procedure 1, assuming the employee is paid in cash, but the withholdings and matching employer FICA contribution have not yet been paid. (Do not ignore employer payroll taxes, but assume no unemployment taxes.)

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Problem 2886

enuity com/player/
Using a Proportion to Complete a Table \begin{tabular}{|c|c|} \hline Miles & Minutes \\ \hline 1 & 7 \\ \hline 3 & 21 \\ \hline 7 & $a$ \\ \hline $b$ & 70 \\ \hline 15 & $c$ \\ \hline \end{tabular}
Martin's running ability is measured by this proportion: $\frac{1}{7}=\frac{3}{21}$
Use the proportion to identify the values of the variables that complete the rate table $\mathrm{a}=$ $\square$ $b=$ $\square$ $c=$ $\square$ Done

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Problem 2887

On February 1, the home mortgage balance was $\$ 129,000$ for the home owned by Tom Bryant. The interest rate for the loan is 7 percent. Assuming that Tom makes the February monthly mortgage payment of $\$ 1032$ , calculate the following: (a) The amount of interest included in the February payment (round your answer to the nearest cent). (b) The amount of the monthly mortgage payment that will be used to reduce the principal balance. (c) The new balance after Tom makes this monthly mortgage payment.

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Problem 2888

7. A tower that is 65 m high makes an obtuse angle with the ground. The vertical distance from the top of the tower to the ground is 59 m . What obtuse angle does the tower make with the ground, to the nearest hundredth of a radian?

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Problem 2889

Assume that $x$ has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) 〔 USE SALT $\begin{aligned} \mu & =106 ; \sigma=20 \\ P(x \geq 90) & = \end{aligned}$

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Problem 2890

Question 18 of 30 The price of a company's share dropped by $3.50 \%$ by the end of the first year, down to $\$ 46.25$ . During the second year the price of the share dropped by $\$ 2.08$ . a. What was the price of the share at the beginning of the first year? $\square$ Round to the nearest cent b. What was the price of the share at the end of the second year? $\square$ Round to the nearest cent c. What was the percent change in the price of the share over the two years?

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Problem 2891

What is the value of $x$ in the proportion below? $\frac{1 / 2}{4}=\frac{x}{28}$ $3 \frac{1}{2}$ $7 \frac{1}{2}$ 14 56

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Problem 2892

Find the values of $x$ and $y$ in parallelogram $P Q R S$ $P T=y, T R=2 x+1, Q T=5 y, T S=6 x+13$ $x=$ $\square$ and $y=$ $\square$

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Problem 2893

1 2 3 4 5 E (2) 6 A 10
To make 12 ounces of hot chocolate, 3 tablespoons of cocoa are needed. How many tablespoons of cocoa are needed to make 72 ounces of hot chocolate? 4 tablespoons 10 tablespoons 12 tablespoons 18 tablespoons

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Problem 2894

Megan bought 3 tickets to the ballet for $\$ 57.50$ . How much would it cost for her to buy 15 tickets? \$172.50 \$230.00 \$287.50 \$862.50

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Problem 2895

Conndence interval tor the popilation standard deviation
The standard deviation of the daily demand for a product is an important factor for inventory control for the product. Suppose that a pharmacy wants to estimate the standard deviation of the daily demand for a certain antibiotic. It is known that the daily demand for this antibiotic follows an approximately normal distribution. A random sample of 30 days has a sample mean of 124 orders for this antibiotic with a standard deviation of 10.1 orders. Find a $99 \%$ confidence interval for the population standard deviation of the daily demand for this antibiotic. Then give its lower limit and upper limit.
Carry your intermediate computations to at least three decimal places, Round your answers to at least two decimal places. (If necessary, consult a list of formulas.)
Lower limit: $\square$ Upper limits $\square$

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Problem 2896

Find $y^{\prime}$ by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler terms to differentiate. $y=\left(3-x^{2}\right)\left(x^{3}-4 x+2\right)$ a. Apply the Product Rule. Let $u=\left(3-x^{2}\right)$ and $v=\left(x^{3}-4 x+2\right)$ . $\frac{d}{d x}(u v)=\left(3-x^{2}\right)\left(3 x^{2}-4\right)+\left(x^{3}-4 x+2\right)(-2 x)$ b. Multiply the factors of the original expression, $u$ and $v$ , to produce a sum of simpler terms. $\mathrm{y}=\square$ (Simplify your answer.)

See Solution

Problem 2897

Write the number 0.00092 in scientific notation.
Answer Attempt 1 out of 2
Answer: $\square$ $\times 10$ $\square$ Submit Answer

See Solution

Problem 2898

bra Essentials A CR-Imag SSOLogout Inagine Eagenuly ror n/player/
Proportions Quiz Active
1 2 3 4 5 6 7 8 9 10 TIME RE 51
To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should to a patient who weighs 138 pounds? 400 milligrams 480 milligrams 550 milligrams 600 milligrams

See Solution

Problem 2899

If there are 90 calories in $\frac{3}{4}$ cup of yogurt, how many calories are in 3 cups of yogurt? 30 calories 202 calories 270 calories 360 calories

See Solution

Problem 2900

(1 point)
Consider the points $(-3,3)$ and $(5,6)$ . a) Find the equation for the line passing through these two points and write the equation in the form $y=m x+b$ . $y=\square$ b) Find parametric equations for the line through these two points. $\begin{array}{l} x(t)= \\ y(t)=\square \end{array}$ c) Calculate the derivative $\frac{d y}{d x}$ of each of the equations in parts $(a)$ and $(b)$ .
From part (a): $\frac{d y}{d x}=$ $\square$ From part (b): $\frac{d y}{d x}=$ $\square$

See Solution

Solve

Problem 2801

10 feet is the same as how many meters?Hint: 1ft≈0.305 m1 \mathrm{ft} \approx 0.305 \mathrm{~m}1ft≈0.305 mRound your answer to the nearest tenth.

Problem 2802

4 milliliters is how many teaspoons? Hint: 1 mL≈0.21 \mathrm{~mL} \approx 0.21 mL≈0.2 tsp Round your answer to the nearest tenth. □\square□

Problem 2803

Problem 2804

Next Page Listen (1 point) Find the mode of the set of scores. 9,5,9,7,12,4,11,8 0, 6 08 8.125 08 8.5 Previous Page Next Page Submer

Problem 2805

Problem 2806

Find the unit rate. 108 people 12 days \frac{108 \text { people }}{12 \text { days }}12 days 108 people ​ □\square□ people ÷\div÷ □\square□ □\square□ □\square□ □\square□ days ÷\div÷ □\square□ □\square□ □\square□ (Type whole numbers or decimals.)

Problem 2807

Problem 2808

212×156=2 \frac{1}{2} \times 1 \frac{5}{6}=221​×165​= □\square□Submit

Problem 2809

QuestionSolve the system by substitution. y=−xy=−4x+12\begin{array}{l} y=-x \\ y=-4 x+12 \end{array}y=−xy=−4x+12​Answer Attempt 1 out of 2 (□(\square(□ □\square□ ) Submit Answer

Problem 2810

QuestionFind the solution of the system of equations. −10x−5y=5−4x+5y=23\begin{aligned} -10 x-5 y & =5 \\ -4 x+5 y & =23 \end{aligned}−10x−5y−4x+5y​=5=23​Answer Attempt 1 out of 2 □\square□ □\square□ Sulhmit Answer

Problem 2811

2. Find the sum: ∑n=2∞13n\sum_{n=2}^{\infty} \frac{1}{3^{n}}n=2∑∞​3n1​

Problem 2812

13. Find the derivative of f(x)=1−3xf(x)=\sqrt{1-3 x}f(x)=1−3x​ at a≠1/3a \neq 1 / 3a=1/3 using the definition. Use this to find an equation for the tangent line at (a,f(a))(a, f(a))(a,f(a)).

Problem 2813

Problem 2814

Estimate the sum by rounding each number to the nearest hundred thousand and then adding. 983,123+989,514983,123+989,514983,123+989,514The sum is approximately □\square□

Problem 2815

Problem 2816

Problem 2817

Estimate the difference by rounding each number to the nearest hundred and then subtracting. 663−428663-428663−428

Problem 2818

Problem 2819

5) 1=x2+6x+7A=1B=6C=7\quad 1=x^{2}+6 x+7 \quad A=1 \quad B=6 \quad C=71=x2+6x+7A=1B=6C=7

Problem 2820

Solve: −1.5x+2.25>15.75-1.5 x+2.25>15.75−1.5x+2.25>15.75 (1 point) x>−9x>-9x>−9 x<−9x<-9x<−9 x>−23.625x>-23.625x>−23.625 x<−23.625x<-23.625x<−23.625

Problem 2821

9. MOON The expression w6\frac{w}{6}6w​ gives the weight of an object on the IVIOon pounds with a weight of ww\underset{w}{w}ww​ pounds on Earth. What is the weight of a space suit on the Moon if the space suit weighs 178.2 pounds on Earth?

Problem 2822

Problem 2823

25) −17=x−15-17=x-15−17=x−15

Problem 2824

10. A student answers 90%90 \%90% of the questions on a math exam correctly. If he answers 27 questions correctly, how many questions are on the exam?

Problem 2825

2. 5 0 \longdiv { 7 8 2 } . 6 \longdiv { 8 5 2 9 }

Problem 2826

3+52p=4p3+\frac{5}{2 p}=\frac{4}{p}3+2p5​=p4​

Problem 2827

Question Watch Video ShowIf cos⁡θ=426\cos \theta=\frac{4}{\sqrt{26}}cosθ=26​4​ and angle θ\thetaθ is in Quadrant I, what is the exact value of tan⁡2θ\tan 2 \thetatan2θ in simplest radical form?

Problem 2828

Find the number of boxes needed, xxx, for 42 granola bars. Enter your answer in the box. \begin{tabular}{|l|c|c|} \hline Granola Bars & 12 & 42 \\ \hline Boxes & 2 & xxx \\ \hline \end{tabular} x=x=x=

Problem 2829

Question 20 (4 points) ✓\checkmark✓ SavedSolve the equation x+2x−7=x+7x+3\frac{x+2}{x-7}=\frac{x+7}{x+3}x−7x+2​=x+3x+7​. x=−11x=-11x=−11 x=−556x=-\frac{55}{6}x=−655​ no solution x=7,x=−3x=7, x=-3x=7,x=−3

Problem 2830

What is the value of kkk in the function f(x)=2x+kx+3f(x)=\frac{2 x+k}{x+3}f(x)=x+32x+k​ if its graph passes through the point ( 2 , 4.2)? 21.2 6 17 none of the above

Problem 2831

Evaluate the expression. Let n=4n=4n=4.7. n+7−3n+7-3n+7−38. 5n÷25 n \div 25n÷29. 3+(n÷2)3+(n \div 2)3+(n÷2)10. 3n+53 n+53n+511. (2.7⋅n)−3(2.7 \cdot n)-3(2.7⋅n)−312. 100−12n100-12 n100−12n

Problem 2832

c. Let h(x)=4x2−46x+18h(x)=4 x^{2}-46 x+18h(x)=4x2−46x+18. Determine the root(s) of hhh.

Problem 2833

Evaluate the expression. Let n=4n=4n=4.7. n+7−3n+7-3n+7−38. 5n÷25 n \div 25n÷29. 3+(n÷2)3+(n \div 2)3+(n÷2)10. 3n+53 n+53n+511. (2.7⋅n)−3(2.7 \cdot n)-3(2.7⋅n)−312. 100−12n100-12 n100−12n

Problem 2834

Problem 2835

Use ordinary interest: \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline Principal & Interest Rate & Date Borrowed & Date Repaied & Time & Simple Interest & Amount Paid Back \\ \hline$9,000\$ 9,000$9,000 & 11 & %\%% & April 20 & August 08 & & days & \\ \hline \end{tabular}

Problem 2836

4) Leona was in a golf tournament last week. All of her four rounds of gold were within 2 strokes of par. If par was 72 , what are the maximum and minimum scores that Leona could have made in the golf tournament?

Problem 2837

Problem 2838

5 Hugo, Tom et Safwan collectionnent les cartes de hockey. Hugo a 9 cartes de plus que le double des cartes de Tom. Safwan a 13 cartes de moins que le quadruple des cartes de Tom.Si Hugo et Safwan ont le même nombre de cartes, combien en ont-ils chacun?

Problem 2839

Problem 2840

This week they received 879 more books. How many books did they receive in all?

Problem 2841

A stereo system costs $275\$ 275$275. It was on sale for 15%15 \%15% off. The salesperson receives a 2%2 \%2% commission. How much of a commission do they receive? (c2016/2020 Lindsay Perro. All rights reserved.

Problem 2842

q=\mathrm{q}=q= 114812. (S pet] The supply aquation and the demand equation for a product are given below. Find the equiltrium quantion Show your work. Solutions by calculator receive no credit. Supply 500−39=74500-39=74500−39=74 Demand 16p+7q=870\text { Demand } 16 p+7 q=870 Demand 16p+7q=870

Problem 2843

1) Amiah must unload a truck filled with 25 bags of dog food. Each bag weights 50.75 pounds. How many pounds does she have to lift? a. 12,687.50 pounds b. 1,268.751,268.751,268.75 pounds c. 126.875 pounds d. 1250 pounds

Problem 2844

Calculate the Surface Area of the Cone Lcylle le \begin{tabular}{|l|l|l|l|l|l|} \hline Figure & π\piπ & rrr radius & r2r^{2}r2 & lislant height SA=πr2+πrlS A=\pi r^{2}+\pi r lSA=πr2+πrl \\ \hline \end{tabular}

Problem 2845

```latex Finn is preparing supplies for electrical and carpentry teams. He places measuring tapes into boxes of 6. If Finn has 26 measuring tapes in total, how many full boxes does he use? ```

10 feet is the same as how many meters?
Hint: $1 \mathrm{ft} \approx 0.305 \mathrm{~m}$
Round your answer to the nearest tenth.

4 milliliters is how many teaspoons? Hint: $1 \mathrm{~mL} \approx 0.2$ tsp Round your answer to the nearest tenth. $\square$

Find the unit rate. $\frac{108 \text { people }}{12 \text { days }}$ $\square$ people $\div$ $\square$ $\square$ $\square$ $\square$ days $\div$ $\square$ $\square$ $\square$ (Type whole numbers or decimals.)

$2 \frac{1}{2} \times 1 \frac{5}{6}=$ $\square$
Submit

Question
Solve the system by substitution. $\begin{array}{l} y=-x \\ y=-4 x+12 \end{array}$
Answer Attempt 1 out of 2 $(\square$ $\square$ ) Submit Answer

Question
Find the solution of the system of equations. $\begin{aligned} -10 x-5 y & =5 \\ -4 x+5 y & =23 \end{aligned}$
Answer Attempt 1 out of 2 $\square$ $\square$ Sulhmit Answer

2. Find the sum: $\sum_{n=2}^{\infty} \frac{1}{3^{n}}$

13. Find the derivative of $f(x)=\sqrt{1-3 x}$ at $a \neq 1 / 3$ using the definition. Use this to find an equation for the tangent line at $(a, f(a))$ .

Estimate the sum by rounding each number to the nearest hundred thousand and then adding. $983,123+989,514$
The sum is approximately $\square$

Estimate the difference by rounding each number to the nearest hundred and then subtracting. $663-428$

5) $\quad 1=x^{2}+6 x+7 \quad A=1 \quad B=6 \quad C=7$

Solve: $-1.5 x+2.25>15.75$ (1 point) $x>-9$ $x<-9$ $x>-23.625$ $x<-23.625$

9. MOON The expression $\frac{w}{6}$ gives the weight of an object on the IVIOon pounds with a weight of $\underset{w}{w}$ pounds on Earth. What is the weight of a space suit on the Moon if the space suit weighs 178.2 pounds on Earth?

25) $-17=x-15$

10. A student answers $90 \%$ of the questions on a math exam correctly. If he answers 27 questions correctly, how many questions are on the exam?

$3+\frac{5}{2 p}=\frac{4}{p}$

Question Watch Video Show
If $\cos \theta=\frac{4}{\sqrt{26}}$ and angle $\theta$ is in Quadrant I, what is the exact value of $\tan 2 \theta$ in simplest radical form?

Find the number of boxes needed, $x$ , for 42 granola bars. Enter your answer in the box. \begin{tabular}{|l|c|c|} \hline Granola Bars & 12 & 42 \\ \hline Boxes & 2 & $x$ \\ \hline \end{tabular} $x=$

Question 20 (4 points) $\checkmark$ Saved
Solve the equation $\frac{x+2}{x-7}=\frac{x+7}{x+3}$ . $x=-11$ $x=-\frac{55}{6}$ no solution $x=7, x=-3$

What is the value of $k$ in the function $f(x)=\frac{2 x+k}{x+3}$ if its graph passes through the point ( 2 , 4.2)? 21.2 6 17 none of the above

Evaluate the expression. Let $n=4$ .
7. $n+7-3$
8. $5 n \div 2$
9. $3+(n \div 2)$
10. $3 n+5$
11. $(2.7 \cdot n)-3$
12. $100-12 n$

c. Let $h(x)=4 x^{2}-46 x+18$ . Determine the root(s) of $h$ .

Evaluate the expression. Let $n=4$ .
7. $n+7-3$
8. $5 n \div 2$
9. $3+(n \div 2)$
10. $3 n+5$
11. $(2.7 \cdot n)-3$
12. $100-12 n$

Use ordinary interest: \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline Principal & Interest Rate & Date Borrowed & Date Repaied & Time & Simple Interest & Amount Paid Back \\ \hline $\$ 9,000$ & 11 & $\%$ & April 20 & August 08 & & days & \\ \hline \end{tabular}

5 Hugo, Tom et Safwan collectionnent les cartes de hockey. Hugo a 9 cartes de plus que le double des cartes de Tom. Safwan a 13 cartes de moins que le quadruple des cartes de Tom.
Si Hugo et Safwan ont le même nombre de cartes, combien en ont-ils chacun?

A stereo system costs $\$ 275$ . It was on sale for $15 \%$ off. The salesperson receives a $2 \%$ commission. How much of a commission do they receive? (c2016/2020 Lindsay Perro. All rights reserved.

$\mathrm{q}=$ 1148
12. (S pet] The supply aquation and the demand equation for a product are given below. Find the equiltrium quantion Show your work. Solutions by calculator receive no credit. Supply $500-39=74$ $\text { Demand } 16 p+7 q=870$

1) Amiah must unload a truck filled with 25 bags of dog food. Each bag weights 50.75 pounds. How many pounds does she have to lift? a. 12,687.50 pounds b. $1,268.75$ pounds c. 126.875 pounds d. 1250 pounds

Calculate the Surface Area of the Cone Lcylle le \begin{tabular}{|l|l|l|l|l|l|} \hline Figure & $\pi$ & $r$ radius & $r^{2}$ & lislant height $S A=\pi r^{2}+\pi r l$ \\ \hline \end{tabular}

3. Priscilla bought cheese that weighs $\frac{3}{4}$ pounds. If she divides it into portions that are each $\frac{1}{8}$ pound, how many portions can she make?

J) How many ounces are there in 8 grams? ()) Hint: $1 \mathrm{~g} \approx 0.035 \mathrm{oz}$ J) Round your answer to the nearest tenth. $\square$

8 feet is how many meters? Hint: $1 \mathrm{ft} \approx 0.305 \mathrm{~m}$ Round your answer to the nearest tenth. $\square$

How many gallons are there in 3 liters? Hint: 1 L $\approx 0.26 \mathrm{gal}$ Round your answer to the nearest tenth. $\square$

$9+(516-226)$

4 teaspoons is how many milliliters? Hint: 1 tsp $\approx 4.9 \mathrm{~mL}$ Round your answer to the nearest tenth. $\square$

13 kilometers is how many miles? Hint: $1 \mathrm{~km} \approx 0.6 \mathrm{mi}$ Round your answer to the nearest tenth. $\square$

5. $154 \div 7=$

$342 \div 9=$

11 Mark for Review $\frac{d}{d x}\left(\cos ^{-1} x\right)=$ (A) $-\frac{1}{\sqrt{1-x^{2}}}$ (B) $\frac{1}{\sqrt{1-x^{2}}}$ (C) $-\sin ^{-1} x$ (D) $-\cos ^{-2} x$

13. If $\cos \theta=0.5000$ , find the value of $\theta$ correct to two decimal places, where $0 \leq \theta<2 \pi$ .
13a Find the acute angle $\theta$ that solves the equation. $\theta=$ Enter your next step here

3. Nasir ran $5 \frac{1}{2}$ laps around a track. If Mr. Rajiyah ra $1 / 4$ laps around the same track, how many more laps did Nasir run than Mr. Rajiyah?

The line $k$ has a slope of -2 . The line $j$ makes an angle of $30^{\circ}$ with $k$ . Find one possible value of the slope of the line $j$ . Give your answer in the form $d+e \sqrt{f}$ , where $d, e, f \in \mathbb{Z}$ .

Look at this diagram:
If $\overleftrightarrow{H J}$ and $\overleftrightarrow{K M}$ are parallel lines and $m \angle J I G=123^{\circ}$ , what is $m \angle M L I$ ? $\square$

12. Extend Your Thinking How can you find $316 \div 4$ two different ways by using different partial quotients in each solution?

Solve for all possible values of x . $\sqrt{14-2 x}=x-7$

$\begin{array}{c} 8=-15 t^{2} \\ 0=-16 t^{2}+8 \end{array}$
To the nearest terest of a second, how lone aoes it laike far the apple to reach the groume? $\square$ seconals