Browse Equation problems Studdy Solved!

Problem 2901

$\lim _{x \rightarrow 0} \cos x=1$

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Problem 2902

i-Ready Understand Scale Drawings - Instruction - Level G
A scale drawing of a dinosaur is shown. The length of the actual dinosaur is 40 ft . \begin{tabular}{|c|c|} \hline Drawing (in.) & Actual (ft) \\ \hline 3 & \\ \hline 10 & 40 \\ \hline \end{tabular}
Scale Drawing
What is the scale factor from the drawing to the dinosaur? ? $\square$

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Problem 2903

Use Figure 7D. 2 and these facts to answer the following question. The death rate in 1917 (the year before the influenza pandemic) was 2300 deaths per 100,000 . The death rate in 1918 (the year of the influenza pandemic) was 2550 deaths per 100,000 . The U.S. population in 1917-1918 was approximately 105 million.
What was the percentage increase in the death rate over the previous year in 1918 and in 2020 ? By this measure, which pandemic was worse? Click on the icon to view figure 7D. 2.
The percentage increase in the death rate over the previous year in 1918 was $\square$ \%. (Round to the nearest whole number as needed.)

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Problem 2904

This exercise is on probabilities and coincidence of shared bithdays. Complete parts (a) through (e) below. a. If two people are selected at random, the probability that they do not have the same birthday (day and month) is $\frac{365}{365} \cdot \frac{364}{365}$ . Explain why this is so. (Ignore leap years and assume 365 days in a year.)
The first person can have any birthday, so they can have a birthday on $\square$ of the 365 days. In order for the second person to not have the same birthday they must have one of the $\square$ remaining birthdays. (Type whole numbers.)

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Problem 2905

б) $\frac{x+1}{x^{2}}-\frac{2 x^{2}}{x+1}=\frac{7}{2}$

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Problem 2906

$3^{2}-2 \cdot 3+u=\left(3^{3}-3 \cdot 8\right)(2)+u$

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Problem 2907

Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. Five are jelly-filled, 9 are lemon-filled, and 10 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting a jelly-filled donut followed by a custard-filled donut. $\square$ (Type an integer or a simplified fraction.)

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Problem 2908

his exercise is on probabilities and coincidence of shared birthdays. Complete parts (a) through (e) bel a. If two people are selected at random, the probability that they do not have the same birthday (day and $n$ $\frac{365}{365} \cdot \frac{364}{365}$ . Explain why this is so. (Ignore leap years and assume 365 days in a year.) The first person can have any birthday, so they can have a birthday on $365^{\circ}$ of the 365 days. In order for the person to not have the same birthday they must have one of the 364 remaining birthdays. (Type whole numbers.) b. If six people are selected at random, find the probability that they all have different birthdays.
The probability that they all have different birthdays is $0.960^{\circ}$ . (Round to three decimal places as needed.) c. If six people are selected at random. find the probability that at least two of them have the same birthday.
The probability that at least two of them have the same birthday is $\square$ (Round to three decimal places as needed.)

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Problem 2909

Find the partial fraction decomposition. $\frac{-2 x-12}{x^{3}-2 x^{2}}$

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Problem 2910

Find the partial fraction decomposition. $\frac{x^{2}-x+3}{x^{3}+2 x^{2}+x}$

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Problem 2911

In a large casino, the house wins on its blackjack tables with a probability of $50.8 \%$ . All bets at blackjack are 1 to 1 , which means that if you win, you gain the amount you bet, and if you lose, you lose the amount you bet. a. If you bet $\$ 1$ on each hand, what is the expected value to you of a single game? What is the house edge? b. If you played 450 games of blackjack in an evening, betting $\$ 1$ on each hand, how much should you expect to win or lose? c. If you played 450 games of blackjack in an evening, betting $\$ 10$ on each hand, how much should you expect to win or lose? d. If patrons bet $\$ 7,000,000$ on blackjack in one evening, how much should the casino expect to eam? a. The expected value to you of a single game is $\$-0.016$ . (Type an integer or a decimal) The house edge is $\$ 0.016$ (Type an integer or a decimal.) b. You should expect to lose $\$ \square$ . (Type an integer or a decimal.)

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Problem 2912

Rewrite each equation as requested. (a) Rewrite as an exponential equation. $\log _{8} \frac{1}{64}=-2$ (b) Rewrite as a logarithmic equation. $3^{0}=1$

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Problem 2913

Rewrite each equation as requested. (a) Rewrite as a logarithmic equation. $4^{-3}=\frac{1}{64}$ (b) Rewrite as an exponential equation. $\log _{6} 6=1$

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Problem 2914

Rewrite each equation as requested. (a) Rewrite as a logarithmic equation. $e^{5}=y$ (b) Rewrite as an exponential equation. $\ln x=4$ (a) $\square$ (b) $\square$

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Problem 2915

Rewrite each equation as requested. (a) Rewrite as an exponential equation. $\ln 9=y$ (b) Rewrite as a logarithmic equation. $e^{x}=3$ (a) $\square$ $\square \log _{\square} \square$ (b) $\square$

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Problem 2916

7. Nolan is buying a season pass to a performing arts center. - One performing art center charges $\$ 100$ for the pass, plus $\$ 15.00$ to park each visit. - Another performing arts center charges $\$ 75$ for the pass, plus $\$ 20.00$ to park each visit. How many times would Nolan need to visit the two performing arts centers for the cost to be the same?
A 4 B. 5 C. 6 D. 7

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Problem 2917

Practice and Problem-Solving Exercises MATHEMATICAL PRACTICES See Problem 1. (A) Practice Tell whether each equation is true, false, or open. Explain.
7. $85+(-10)=95$
8. $225 \div t-4=6.4$
9. $29-34=-5$
10. $-8(-2)-7=14-5$
11. $4(-4) \div(-8) 6=-3+5(3)$
12. $91 \div(-7)-5=35 \div 7+3$
13. $4 a-3 b=21$
14. $14+7+(-1)=21$
15. $5 x+7=17$
Tell whether the given number is a solution of each equation.
16. $8 x+5=29 ; 3$
17. $5 b+1=16 ;-3$
18. $6=2 n-8 ; 7$
19. $2=10-4 y ; 2$
20. $9 a-(-72)=0 ;-8$
21. $-6 b+5=1 ; \frac{1}{2}$
22. $7+16 y=11 ; \frac{1}{4}$
23. $14=\frac{1}{3} x+5 ; 27$
24. $\frac{3}{2} t+2=4 ; \frac{2}{3}$
Write an equation for each sentence.
25. The sum of $4 x$ and -3 is 8 .
26. The product of 9 and the sum of 6 and $x$ is 1 .
27. Training An athlete trains for 115 min each day for as many days as possible. Write an equation that relates the number of days $d$ that the athlete spends training when the athlete trains for 690 min .
28. Salary The manager of a restaurant earns $\$ 2.25$ more each hour than the host of the restaurant. Write an equation that relates the amount $h$ that the host earns each hour when the manager earns $\$ 11.50$ each hour.
Use mental math to find the solution of each equation. See Problem 3.
29. $x-3=10$
30. $4=7-y$
31. $18+d=24$
32. $2-x=-5$
33. $\frac{m}{3}=4$
34. $\frac{x}{7}=5$
35. $6 t=36$
36. $20 a=100$
37. $13 c=26$

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Problem 2918

Original cost, $\$ 55,000$ , life, 10 years, annual rate of value lost, $14 \%$ $\mathrm{s}=\$$ (Round to the nearest cent.)

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Problem 2919

(a) $\log _{3} 7-\log _{3} 5=\log _{3}$ !I (b) $\log _{5} \square+\log _{5} 7=\log _{5} 42$ (c) $2 \log _{8} 3=\log _{8} \square$

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Problem 2920

Nathan and Jackson are each saving money. - Nathan has $\$ 15$ saved and plans to save $\$ 5$ more each week. - Jackson has $\$ 25$ saved and plans to save $\$ 4$ more each week.
How many weeks will it be before both boys have saved the same amount of money?

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Problem 2921

$1>$ Resuelve las siguientes ecuaciones de segundo grado, indicando en cada caso el valor de a, b y c antes de aplicar la fórmula. a) $x^{2}+x-2=0$ f) $4 x^{2}-12 x-16=0$ b) $x^{2}+9 x+20=0$ g) $-x^{2}-2 x+8=0$ c) $x^{2}+x-6=0$ h) $-3 x^{2}-12 x-9=0$ d) $x^{2}+6 x+5=0$ i) $2 x^{2}-24 x+22=0$ e) $2 x^{2}-10 x+12=0$ j) $3 x^{2}-24 x-60=0$

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Problem 2922

(a) $\log _{5} 3+\log _{5} 4=\log _{5} 12$ (b) $\log _{8} 5-\log _{8} 3=\log _{8} \frac{5}{3}$ (c) $2 \log _{3} 5=\log _{3}$

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Problem 2923

For the following right triangle, find the side length $x$ .

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Problem 2924

For the following right triangle, find the side length $x$ .

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Problem 2925

In the figure below, $m \angle 4=112^{\circ}$ . Find $m<1, m \angle 2$ , and $m<3$ .

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Problem 2926

Labour planning
Labour information
Standard rate $£ 17.00 / \mathrm{hr}$ Overtime rate $£ 22.50 / \mathrm{hr}$ Targeted labour cost £11,050/wk Labour hours needed 650/wk Any hour worked over 40 hrs/wk must be paid at the overtime rate
For a 12-person team, how many extra workers should be hired to meet the labour hours needed without overtime? 5 17 55 170 921

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Problem 2927

In the figure below, $m \angle 2=126^{\circ}$ . Find $m \angle 1, m \angle 3$ , and $m \angle 4$ .

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Problem 2928

Previously, 5\% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than $5 \%$ today. She randomly selects 115 pregnant mothers and finds that 4 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the $\alpha=0.1$ level of significance.
What are the null and alternative hypotheses? $H_{0}: p=0.05$ versus $H_{1}: p<0.05$ (Type integers or decimals. Do not round.) Because $n p_{0}\left(1-p_{0}\right)=5.5<10$ , the normal model may not be used to approximate the $P$ -value. (Round to one decimal place as needed.) Find the P -value. P -value $=$ $\square$ (Round to three decimal places as needed.)

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Problem 2929

Josh rented a truck for one day. There was a base fee of $\$ 19.95$ , and there was an additional charge of 77 cents for each mile driven. Josh had to pay $\$ 133.14$ when he returned the truck. For how many miles did he drive the truck? $\square$ miles

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Problem 2930

Solve for $u$ . $13=\frac{u}{7.68}+7$

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Problem 2931

Translate the sentence into an equation. Twice the difference of a number and 6 equals 5 . Use the variable $x$ for the unknown number. $\square$

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Problem 2932

Solve for $x$ . $11^{-3 x}=4^{x+5}$
Write the exact answer using either base-10 or base-e logarithms.

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Problem 2933

Translate the sentence into an equation. Two less than the product of 3 and a number is 5 . Use the variable $y$ for the unknown number.

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Problem 2934

Translate the sentence into an equation. Seven times the sum of a number and 9 equals 2. Use the variable $x$ for the unknown number. $\square$

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Problem 2935

Solve for $x$ . $11^{-x+4}=15^{-8 x}$
Write the exact answer using either base-10 or base-e logarithms.

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Problem 2936

$5^{-x-6}=13^{-7 x}$
Nrite the exact answer using either base-10 or base-e logarithms.

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Problem 2937

3 Homework Question 5, 4.1.43-BE HW Score: 22.22\%, 12 of 54 points Points: 0 of 4
Original cost, $\$ 61,000 ;$ life, 7 years; annual rate of value lost, $11 \%$ $\mathrm{S}=\$$ $\square$ (Round to the nearest cent.)

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Problem 2938

(c) $\binom{n}{1}+2\binom{n}{2}+3\binom{n}{3}+\cdots+n\binom{n}{n}=n 2^{n-1}$ . [Hint: After expanding $n(1+b)^{n-1}$ by the binomial theorem, let $b=1$ ; note also that $\left.n\binom{n-1}{k}=(k+1)\binom{n}{k+1} \cdot\right]$

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Problem 2939

For the right triangles below, find the exact values of the side lengths $q$ an The figures are not drawn to scale. (a) $q=$ $\square$ (b) $s=$ $\square$

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Problem 2940

Keep cool: Following are prices, in dollars, of a random sample of ten 7.5 -cubic-foot refrigerators. A consumer organization reports that the mean price of 7.5 -cubicfoot refrigerators is less than $\$ 370.00$ the data provide convincing evidence of this claim? Use the $a=0.01$ level of significance and the $P$ -method with the - Critical Values for the Student's $t$ Distribution Table. \begin{tabular}{lllll} \hline 350 & 414 & 360 & 313 & 353 \\ 318 & 369 & 383 & 329 & 339 \\ \hline \end{tabular} Send data to Excel
Part 1 of 6
Following is a dotplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied? Explain.
The dotplot shows that there are no outliers. The dotplot shows that there is no evidence of strong skewness. We $\square$ can $\square$ It is assume that the population is approximately normal, reasonable to assume that the conditions are satisfied.
Part: $1 / 6$
Part 2 of 6
State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \mu=370 \\ H_{1}=\mu<370 \end{array}$ $\square$
Part: $2 / 6$
Part 3 of 6
Compute the value of the test statistic. Round the answer to three decimal places. $t=-2.449$ $\square$
Part: $3 / 6$
Part 4 of 6
Select the correct interval for the $P$ -value. $P$ -value $>0.10$ $0.025<P$ -value $\leq 0.05$ $0.05<P$ -value $\leq 0.10$ $P$ -value $\leq 0.025$
Part: $4 / 6$
Part 5 of 6
Determine whether to reject $H_{0}$ . $\qquad$ the null hypothesis $H_{0}$ .

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Problem 2941

(Expafica)
Keep cool: Following are prices, in doilars, of a random sample of ten 7.5 -cubic-foot refrigerators. A consumer organization reports that the mean price of 7.5 -cubic-foot refrigerators is less than $\$ 370$ . Do the data provide convincing evidence of this claim? Use the $\alpha=0.01$ level of significance and the $P$ -method with the - Critical Values for the Student's t Distribution Table. \begin{tabular}{lllll} 350 & 414 & 360 & 313 & 353 \\ 318 & 369 & 383 & 329 & 339 \\ \hline \end{tabular} abo （ Send data to Excel
Part 1 of 6
Following is a dotplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied? Explain.
The dotpiot shows that there are no outllers. The dotplot shows that there is no evidence of strong skewness. We $\square$ assume that the population is approximately normal,
It 1 $\square$ reasonable to assume that the conditions are satisfled
Part: $1 / 6$
Part 2 of 6
State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \mu=370 \\ H_{1}: \mu<370 \end{array}$ \begin{tabular}{|c|c|c|} \hline $\square<\square$ & $\square>\square$ & $\square=\square$ \\ $\square \neq \square$ & $\mu$ & \\ \hline $\times$ & 0 \\ \hline \end{tabular}
Part: $2 / 6$
Part 3 of 6
Compute the value of the test statistic. Round the answer to three decimal places. $t=-2.449$ $\square$ $\times$ 6 $\times$ 5 $\qquad$

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Problem 2942

For the following equation, find all solutions exactly on the interval $0^{\circ} \leq \theta<360^{\circ}$ . $6 \sin (\theta)=3 \sqrt{2}$
Enter your answers in degrees without units or other marks; place the smaller angle in blank \#1 and the larger angle in blank \#2.

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Problem 2943

For each given value of $x$ , determine the value of $y$ that gives a solution to the given linear equations in two unknowns. $3 x-2 y=18 ; \quad x=4, x=-5$
If $x=4$ what is $y$ ? $\square$

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Problem 2944

13.The frictional force does -3000 J of work to completely stop a skier who slides on a horizontal surface with an initial speed of $10 \mathrm{~m} / \mathrm{s}$ . What would be the speed of the skier if the friction force had only done -1500 J of work? vhcc2.vhcc.edu/ph1 fall9/frames_pages/openstax_problems.htm 2024 Version 8 - Work 30

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Problem 2945

You are choosing between two health clubs. Club $A$ offers membership for a fee of $\$ 11$ plus a monthly fee of $\$ 20$ . Club B offers membership for a fee of $\$ 23$ plus a monthly fee of $\$ 18$ . After how many months will the total cost of each health club be the same? What will be the total cost for each club?
In $\square$ months the total cost of each health club will be the same.

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Problem 2946

The bus fare in a city is $\$ 1.50$ . People who use the bus have the option of purchasing a monthly coupon book for $\$ 25.00$ . With the coupon book, the fare is reduced to $\$ 0.50$ . Determine the number of times in a month the bus mus be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.
The bus must be used $\square$ times.

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Problem 2947

The maximum heart rate, in beats per minute, that you should achieve during exercise is 220 minus your age, 220 - a. Your exercise goal is to improve cardiovascular conditioning. Use the following formulas to answer parts (a) and (b).
Lower limit of range $\quad H=\frac{7}{10}(220-a)$ Upper limit of range $\quad H=\frac{4}{5}(220-a)$ a. What is the lower limit of the heart range, in beats per minute, for a 40 -year-old with this exercise goal?
The lower limit of the heart range is 126 beats per minute. (Round to the nearest integer as needed.) b. What is the upper limit of the heart range, in beats per minute, for a 40 -year-old with this exercise goal?
Thus, the upper limit of the heart range is $\square$ beats per minute. (Round to the nearest integer as needed.)

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Problem 2948

$R$ is the midpoint of $\overline{Q S}, \overline{Q T} \cong \overline{R U}$ , and $\overline{S U} \cong \overline{R T}$ . Complete the proof that $\triangle Q R T \cong \triangle R S U$ . \begin{tabular}{|l|l|l|l|} \hline & Statement & Reason \\ \hline 1 & $R$ is the midpoint of $\overline{Q S}$ & \\ 2 & $\overline{Q T} \cong \overline{R U}$ & & $=$ \\ 3 & $\overline{S U} \cong \overline{R T}$ & & $=$ \\ 4 & $\overline{Q R} \cong \overline{R S}$ & & $=$ \\ 5 & $\triangle Q R T \cong \triangle R S U$ & & $=$ \\ \hline \end{tabular}

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Problem 2949

Round intermediate calculations and final answer to four decimal places. Find the point on the parabola $y=16-x^{2}$ closest to the point $(9,17)$ . Closest point is $\square$ , $\square$ ) with the distance of $\square$ .

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Problem 2950

According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, $23 \%$ of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints. Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than $23 \%$ ?
The hypotheses are: $\begin{array}{l} \mathrm{H}_{0}: p=23 \% \\ \mathrm{H}_{1}: p<23 \% \end{array}$
What is a type I error in the context of this problem?

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Problem 2951

Use the intercepts to graph the equation. $5 x-3 y=15$

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Problem 2952

Schlüsselkonzept: Integral Rekonstruieren einer Größe
1. Berechnen Sie jeweils die fehlenden Werte. \begin{tabular}{|l|c|c|c|c|c|c|c|} \hline Gefahrene Strecke & 150 km & 220 km & 10 km & & & 225 km & \\ \hline Zeit & 2 h & $2,5 \mathrm{~h}$ & 30 min & 2 h & 4 h & & 20 min \\ \hline \begin{tabular}{l} Durchschnittliche \\ Geschwindigkeit \end{tabular} & & & & $100 \mathrm{~km} / \mathrm{h}$ & $70 \mathrm{~km} / \mathrm{h}$ & $150 \mathrm{~km} / \mathrm{h}$ & $30 \mathrm{~km} / \mathrm{h}$ \\ \hline \end{tabular}

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Problem 2953

$\begin{array}{c}\text { Solve } 27-4 r=5 r \\ r=\ldots\end{array}$

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Problem 2954

Work out the value of $u$ in the equation below. $6 u=22-5 u$

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Problem 2955

Solve the logarithmic equation. $\ln x+\ln x^{5}=18$

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Problem 2956

(1)) 新, How many solutions does this equation have? $-8 u-7(-2 u+2)=6 u-14$ 1)）㸚 $\square$ one solution infinitely many solutions

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Problem 2957

Solve $7 y=5 y+16$ $y=\ldots$

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Problem 2958

Solve $\frac{x}{2}-3=8$ $x=\ldots$

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Problem 2959

A box contains 15 transistors, 4 of which are defective. If 4 are selected at random, find the probability of the statements below. a. All are defective b. None are defective a. The probability is $\square$ (Type a fraction. Simplify your answer.)

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Problem 2960

Dion makes and sells stained glass suncatchers in different shapes. For one of his designs, he attaches semicircles to each side of a square that has a side length of 4 centimeters. He builds a frame around the outside of each suncatcher to hold it together.
2020 StrongMind. Created using GeoGebra.
What is the approximate lenath of the frame that Dion used on this suncatcher?

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Problem 2961

A beaker contains 75 milliliters ( mL ) of liquid solution composed of water and borie aeid in the ratio 16:9. How much boric acid must be added to the beaker to make the ratio $1: 1$ ?

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Problem 2962

Suppose that you borrow $\$ 2000.00$ from a friend and promise to pay back $\$ 3170.00$ in 3 years. What simple interest rate will you pay?
The simple interest rate is $\square$ \% (Round to the nearest tenth as needed.)

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Problem 2963

Solve $5 \sqrt{x+9}-3=3$ for $x$

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Problem 2964

The principal P is borrowed at a simple interest rate r for a period of time $t$ . Find the simple interest owed for the use of the money. Assume 360 days in a year. $P=\$ 7000, r=3 \%, t=1 \text { year }$ \\square$

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Problem 2965

Solve $29=5(2 u-3)$

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Problem 2966

HW 6 - Freefall
You've completed all of the work in this assignment. Question 10 of 10 $1 / 1$
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Correct.
Two stones are thrown simultaneously, one straight upward from the base of a cliff and the other straight downward from the top of the cliff. The height of the cliff is 5.74 m . The stones are thrown with the same speed of $9.34 \mathrm{~m} / \mathrm{s}$ . Find the location (above the base of the cliff) of the point where the stones cross paths. $D=2.40$ $\square$ $\mathrm{m}$ Attempts: 1 of 5 used Stone 1 Stone 2 $v=9.34 \mathrm{~m} / \mathrm{s}$ $v=9.34 \mathrm{~m} / \mathrm{s}$
1v? (1) $\Delta x=\frac{1}{2} t\left(V_{f}-V_{0}\right)$

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Problem 2967

$3 \frac{3}{5}-\frac{11}{20}=$
Submit

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Problem 2968

15.A 200 g mass is attached to a spring whose constant is $50 \mathrm{~N} / \mathrm{m}$ . Originally, the spring is neither stretched nor compressed. Then the mass is released. What will the maximum stretching of the spring be?

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Problem 2969

2. Mercury metal is poured into a graduated cylinder that holds exactly 22.5 mL . The mercury used to fill the cylinder masses at 306.0 g . From this information, calculate the density of mercury.

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Problem 2970

One grain of this sand approximately weighs $7 \times 10^{-5} \mathrm{~g}$ . b) How many grains of sand are there in 6300 kg of sand? Give your answer in standard from.

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Problem 2971

6. Find the mass of 250.0 mL of benzene. The density of benzene is $0.8765 \mathrm{~g} / \mathrm{mL}$ .

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Problem 2972

Calculate the volume of the triangular prism shown below. Give your answer in $\mathrm{cm}^{3}$ .

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Problem 2973

Current Attempt in Progress Iverson Company purchased a delivery truck for $\$ 45,000$ on January 1, 2027. The truck was assigned an estimated useful life of five years and has a residual value of $\$ 10,000$ . Compute depreciation expense using the double-declining-balance method for the years 2027 and 2028.
Depreciation expense for 2027 \\square $Depreciation expense for 2028 \$$ \square$
Save for Later Attempts: 0 of 1 used Submit Answer

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Problem 2974

$u^{2}=12 u$
If there is more than one solution, separate them with comn If there is no solution, click on "No solution". $u=$ $\square$

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Problem 2975

USE YOUR KNOWLEDGE OF CIRCLES TO ANSWER EACH QUESTION BELOW. DRAG THE CORRECT SOLUTION TO THE WHITE BOX. NOT ALL CHOICES WILL BE USED.
1 Brad will put fencing around a circular area in his yard for some baby goats he purchased. If the circular area will have a radius of 10 feet, how many feet of fencing will Brad need? $\square$ ft
3 Kaitlin is choosing between iwo circular wall clocks. One has a radius of 5 inches while the other has a radius of 6 inches. How much more wall space will the clock with a radius of 6 inches cover? $\square$ $\mathrm{in}^{2}$
2 Pam ordered a circular hot tub cover with a diameter of 80 inches. Find the area of the hot tub cover. $\square$ $i n^{2}$
5024 251.2 31.4 34.54
37 18.5 62.8
DRAG THESE

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Problem 2976

Fill in the blanks so that the resulting statement is true.
In the formula A = $A=\frac{P\left[\left(1+\frac{r}{n}\right)^{n t}-1\right]}{\left(\frac{r}{n}\right)}$ $\square$ is the deposit made at the End of each compounding period, $\square$ is the annual interest rate compounded $\square$ times per year, and $A$ is the $\square$ after $\square$ years.

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Problem 2977

The electric field intensity in polystyrene with $\epsilon_{r}=2.55$ , filling the space between the plates of a parallel capacitor is $10 \mathrm{KV} / \mathrm{m}$ . The distance between the plates is 1.55 mm . Calculate: - $\quad D$ and $P$ - The surface charge density of free charge on the plates. - The surface density of polarization charge. - The potential difference between the plates.

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Problem 2978

(1 point)
What is the length of an arc cut off by an angle of 2.75 radians on a circle of radius 7 inches? $\square$ (include units: $\square$ )

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Problem 2979

Watch the video and then solve the problem given below. Click here to watch the video. Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about one-sixth the amount found in living human beings. The amount of carbon-14 present in animal bones after $t$ years is given by $y=y_{0} e^{-0.0001216 t}$ , where $y_{0}$ is the amount of carbon-14 present in living human beings. About how long ago did the Egyplian die?
The Egyptian died about $\square$ years ago. (Round to the nearest integer as needed.)

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Problem 2980

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A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 25 subjects had a mean wake time of 105.0 min . After treatment, the 25 subjects had a mean wake time of 100.7 min and a standard deviation of 20.8 min . Assume that the 25 sample values appear to be from a normally distributed population and construct a $90 \%$ confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 105.0 min before the treatment? Does the drug appear to be effective?
Construct the 90\% confidence interval estimate of the mean wake time for a population with the treatment. $\square$ $\square$ $\min <\mu<$ min (Round to one decimal place as needed.)

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Problem 2981

Solve the quadratic equation by completing the square. $x^{2}+6 x+4=0$
First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. Simplify your answer as much as possible. If there is more than one solution, separate them with commas.
Form: $(x+\square)^{2}=$ $\square$ $(x-\square)^{2}=$ $\square$ Solution: $x=$ $\square$

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Problem 2982

MotoWin Auto Superstore is thinking about offering a two-year limited warranty for $\$ 952$ on all new cars of a certain model. The terms of the warranty would be that MotoWin would replace the car free of charge under certain, specified conditions. Replacing the car in this way would cost MotoWin $\$ 13,600$ . Suppose that under the warranty, there is a $7 \%$ chance that MotoWin would have to replace the car one time and a $93 \%$ chance they wouldn't have to replace the car. (If necessary, consult a list of formulas.)
If MotoWin knows that it will sell many of these warranties, should it expect to make or lose money from offering them? How much?
To answer, take into account the price of the warranty and the expected value of the cost from replacing the car. MotoWin can expect to make money from offering these warranties. In the long run, they should expect to make $\square$ dollars on each warranty sold. MotoWin can expect to lose money from offering these warranties. In the long run, they should expect to lose $\square$ dollars on each warranty sold. MotoWin should expect to neither make nor lose money from offering these warranties.

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Problem 2983

Here are summary statistics for randomly selected weights of newborn girls: $n=36, \bar{x}=3216.7 \mathrm{~g}, \mathrm{~s}=688.5 \mathrm{~g}$ . Use a confidence level of $95 \%$ to complete parts (a) through (d) below. a. Identify the critical value $t_{\alpha / 2}$ used for finding the margin of error. $t_{\alpha / 2}=2.03$ (Round to two decimal places as needed.) b. Find the margin of error. $E=$ $\square$ g (Round to one decimal place as needed.)

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Problem 2984

Previous Problem Problem List Next Problem (1 point) Write the equation $|4-3 r|=7$ as two separate equations, and enter each equation in its own answer box below. Neither of your equations should use absolute value.

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Problem 2985

69. Consider the unbalanced equation for the combustion of hexane: $\mathrm{C}_{6} \mathrm{H}_{14}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \longrightarrow \mathrm{CO}_{2}(\mathrm{~g})+\mathrm{H}_{2} \mathrm{O}(\mathrm{~g})$
Balance the equation and determine how many moles of $\mathrm{O}_{2}$ are required to react completely with $7.2 \mathrm{~mol} \mathrm{C}_{6} \mathrm{H}_{14}$ .

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Problem 2986

Solve Problems with Percent - Instruction - Level F
At hockey practice, Coach Taylor always sets aside 20\% of the total time for players to warm up. The rest of the practice is spent on game play. Today's practice is 60 minutes. Coach Taylor needs to find out how much time players should spend warming up.
Complete the statement. The warm-up time is $\square$ \% of ? minutes.
Total Practice Time $\square$ \% $\square$ min

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Problem 2987

Calcium is essential to tree growth. In 1990 , the concentration of calcium in precipitation in Chautauqua, New York, was 0.11 milligram per liter $\left(\frac{\mathrm{mg}}{\mathrm{L}}\right)$ . A random sample of 8 precipitation dates in 2018 results in the following data: $\begin{array}{llllllll} 0.234 & 0.313 & 0.108 & 0.065 & 0.087 & 0.070 & 0.262 & 0.126 \end{array}$
A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot does not show any outliers. Does the sample evidence suggest that calcium concentrations have changed since 1990? Use the $\mathrm{a}=0.1$ level of significance.
What are the null and alternative hypotheses? $\begin{array}{l} H_{0}: \mu=0.11 \\ H_{1}: \mu=0.11 \end{array}$ (Type integers or decimals. Do not round.) Find the test statistic. $t_{0}=1.40^{\circ}\left(R_{0} \quad \text { imal places as needed. }\right)$
Find the P -valt P -value $=$ $\square$ Is there suffici $\square$ three decimal places as needed.)
Since P -value $\square$ $\alpha$ , the null hypothesis and conclude that there $\square$ sufficient evidence that the calcium level in rainwater has changed. Clear all Check answer

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Problem 2988

(11) Calculate how many moles of $\mathrm{NO}_{2}$ form when each quantity of reactant completely reacts: $2 \mathrm{~N}_{2} \mathrm{O}_{3}(\mathrm{~g}) \longrightarrow 4 \mathrm{NO}_{2}(\mathrm{~g})+\mathrm{O}_{2}(g)$ a. $2.5 \mathrm{~mol} \mathrm{~N}_{2} \mathrm{O}_{5}$ c. $15.2 \mathrm{~g} \mathrm{~N}_{2} \mathrm{O}_{5}$ b. $6.8 \mathrm{~mol} \mathrm{~N}_{2} \mathrm{O}_{3}$ d. $2.87 \mathrm{~kg} \mathrm{N,O}$

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Problem 2989

Bookwork code: 3B Calculator not allowed
Solve $9-2 x=-5$ $x=\ldots$

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Problem 2990

A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the College Board, scores are normally distributed with $\mu=519$ . The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math' score of the 1800 students is 525 with a standard deviation of 112. Complete parts (a) through (d) below.
Click the icon to view the t-Distribution Area in the Right Tail. (b) Test the hypothesis at the $\alpha=0.10$ level of significance. Is a mean math score of 525 statistically significantly higher than 519 ? Conduct a hypothesis test using the P -value approach.
Find the test statistic. $t_{0}=2.27$ (Round to two decimal places as needed.) Approximate the P -value corresponding to the critical value of t . The P -value is between 0.02 and 0.01 . Is the sample mean statistically significantly higher? A. Yes, because the $P$ -value range is below $\alpha=0.10$ B. No, because the P -value range is below $\alpha=0.10$ . C. Yes, because the P -value range is above $\alpha=0.10$ . D. No, because the P -value range is above $\alpha=0.10$ .

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Problem 2991

Bookwork code: 3C Calculator not allowed
Solve $9=15+\frac{m}{3}$ $m=\ldots$

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Problem 2992

Bookwork code: 3D Calculator not allowed
Work out the value of $x$ in the equation below. $\frac{2 x-7}{3}=5$

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Problem 2993

\begin{problem} A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the College Board, scores are normally distributed with $\mu=519$ . The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the 1800 students is 525 with a standard deviation of 112. Complete parts (a) through (d) below.
(c) Do you think that a mean math score of 525 versus 519 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance? \begin{enumerate} \item[A.] No, because the score became only $1.16\%$ greater. \item[B.] No, because every increase in score is practically significant. \item[C.] Yes, because the score became more than $116\%$ greater. \item[D.] Yes, because it is statistically significant. \end{enumerate}
(d) Test the hypothesis with $n=375$ students. Assume that the sample mean is still 525 and the sample standard deviation is still 112. Is a sample mean of 525 significantly more than 519 at the $\alpha=0.15$ significance level?
Find the test statistic $t_0 = 1.04$ (Round to two decimal places).
Approximate the P-value using the P-value approach.
The P-value is between: \begin{enumerate} \item[1.] 0.15 and 0.10 \item[2.] 0.005 and 0.0025 \item[3.] 0.001 and 0.0005 \item[4.] 0.20 and 0.15 \end{enumerate} \end{problem}

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Problem 2994

An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. The yard has 3 sprinkler heads that each cover a circular area with no overlap. What is the approximate total area that will be watered? 1963.5 ft $1963.5 \mathrm{ft}^{2}$ 5890.5 ft $5890.5 \mathrm{ft}^{2}$

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Problem 2995

IQ scores: Scores on an IQ test are normally distributed. A sample of 25 IQ scores had standard deviation $s=8$ . The developer of the test claims that the population standard deviation is greater than $\sigma=17$ . Do these data provide sufficient evidence to support this claim? Use the $\alpha=0.10$ level of significance.
Part: $0 / 5$ $\square$
Part 1 of 5
State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \sigma(\text { Choose one) } \nabla \\ H_{1}: \sigma(\text { Choose one }) \nabla \end{array}$ Start over
This hypothesis test is a $\square$ (Choose one) test.

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Problem 2996

91. Earthquakes. On December 26, 2003, a major earthquake rocked southeastern Iran. In Bam, 30,000 people were killed, and 85\% of buildings were damaged or destroyed. The energy released measured $2 \times 10^{14}$ joules. Calculate the magnitude of the 2003 Iran earthquake with the Richter scale.

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Problem 2997

$\left(\sqrt{\frac{w^{5}}{w^{2}}}\right)^{4}=w^{?}$

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Problem 2998

Evaluate exactly, using the Fundamental Theorem of Calculus: $\int_{0}^{c}\left(\frac{x^{6}}{7}+2 x\right) d x=$ $\square$

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Problem 2999

What is the total payment required to pay off a promissory note issued for $\$ 400.00$ at $12 \%$ ordinary interest and a 90-day term? \$[?] Round to the nearest cent.

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Problem 3000

(From Unit 2, Lesson 3.)
4. Triangles $A C D$ and $B C D$ are isosceles. Angle $B A C$ has a measure of 18 degrees and angle $B D C$ has a measure of 48 degrees.
The measure of angle $A B D$ is $\qquad$ Show your work $A D^{-} \cong A C^{-} \text {and } B D^{-} \cong B C^{-}$

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Equation

Problem 2901

lim⁡x→0cos⁡x=1\lim _{x \rightarrow 0} \cos x=1limx→0​cosx=1

Problem 2902

Problem 2903

Problem 2904

Problem 2905

б) x+1x2−2x2x+1=72\frac{x+1}{x^{2}}-\frac{2 x^{2}}{x+1}=\frac{7}{2}x2x+1​−x+12x2​=27​

Problem 2906

32−2⋅3+u=(33−3⋅8)(2)+u3^{2}-2 \cdot 3+u=\left(3^{3}-3 \cdot 8\right)(2)+u32−2⋅3+u=(33−3⋅8)(2)+u

Problem 2907

Problem 2908

Problem 2909

Find the partial fraction decomposition. −2x−12x3−2x2\frac{-2 x-12}{x^{3}-2 x^{2}}x3−2x2−2x−12​

Problem 2910

Find the partial fraction decomposition. x2−x+3x3+2x2+x\frac{x^{2}-x+3}{x^{3}+2 x^{2}+x}x3+2x2+xx2−x+3​

Problem 2911

Problem 2912

Rewrite each equation as requested. (a) Rewrite as an exponential equation. log⁡8164=−2\log _{8} \frac{1}{64}=-2log8​641​=−2 (b) Rewrite as a logarithmic equation. 30=13^{0}=130=1

Problem 2913

Rewrite each equation as requested. (a) Rewrite as a logarithmic equation. 4−3=1644^{-3}=\frac{1}{64}4−3=641​ (b) Rewrite as an exponential equation. log⁡66=1\log _{6} 6=1log6​6=1

Problem 2914

Rewrite each equation as requested. (a) Rewrite as a logarithmic equation. e5=ye^{5}=ye5=y (b) Rewrite as an exponential equation. ln⁡x=4\ln x=4lnx=4 (a) □\square□ (b) □\square□

Problem 2915

Rewrite each equation as requested. (a) Rewrite as an exponential equation. ln⁡9=y\ln 9=yln9=y (b) Rewrite as a logarithmic equation. ex=3e^{x}=3ex=3 (a) □\square□ □log⁡□□\square \log _{\square} \square□log□​□ (b) □\square□

Problem 2916

Problem 2917

Problem 2918

Original cost, $55,000\$ 55,000$55,000, life, 10 years, annual rate of value lost, 14%14 \%14% s=$\mathrm{s}=\$s=$ (Round to the nearest cent.)

Problem 2919

(a) log⁡37−log⁡35=log⁡3\log _{3} 7-\log _{3} 5=\log _{3}log3​7−log3​5=log3​ !I (b) log⁡5□+log⁡57=log⁡542\log _{5} \square+\log _{5} 7=\log _{5} 42log5​□+log5​7=log5​42 (c) 2log⁡83=log⁡8□2 \log _{8} 3=\log _{8} \square2log8​3=log8​□

Problem 2920

Nathan and Jackson are each saving money. - Nathan has $15\$ 15$15 saved and plans to save $5\$ 5$5 more each week. - Jackson has $25\$ 25$25 saved and plans to save $4\$ 4$4 more each week.How many weeks will it be before both boys have saved the same amount of money?

Problem 2921

Problem 2922

(a) log⁡53+log⁡54=log⁡512\log _{5} 3+\log _{5} 4=\log _{5} 12log5​3+log5​4=log5​12 (b) log⁡85−log⁡83=log⁡853\log _{8} 5-\log _{8} 3=\log _{8} \frac{5}{3}log8​5−log8​3=log8​35​ (c) 2log⁡35=log⁡32 \log _{3} 5=\log _{3}2log3​5=log3​

Problem 2923

For the following right triangle, find the side length xxx.

Problem 2924

For the following right triangle, find the side length xxx.

Problem 2925

In the figure below, m∠4=112∘m \angle 4=112^{\circ}m∠4=112∘. Find m<1,m∠2m<1, m \angle 2m<1,m∠2, and m<3m<3m<3.

Problem 2926

Problem 2927

In the figure below, m∠2=126∘m \angle 2=126^{\circ}m∠2=126∘. Find m∠1,m∠3m \angle 1, m \angle 3m∠1,m∠3, and m∠4m \angle 4m∠4.

Problem 2928

Problem 2929

Josh rented a truck for one day. There was a base fee of $19.95\$ 19.95$19.95, and there was an additional charge of 77 cents for each mile driven. Josh had to pay $133.14\$ 133.14$133.14 when he returned the truck. For how many miles did he drive the truck? □\square□ miles

Problem 2930

Solve for uuu. 13=u7.68+713=\frac{u}{7.68}+713=7.68u​+7

Problem 2931

Translate the sentence into an equation. Twice the difference of a number and 6 equals 5 . Use the variable xxx for the unknown number. □\square□

Problem 2932

Solve for xxx. 11−3x=4x+511^{-3 x}=4^{x+5}11−3x=4x+5Write the exact answer using either base-10 or base-e logarithms.

Problem 2933

Translate the sentence into an equation. Two less than the product of 3 and a number is 5 . Use the variable yyy for the unknown number.

Problem 2934

Translate the sentence into an equation. Seven times the sum of a number and 9 equals 2. Use the variable xxx for the unknown number. □\square□

Problem 2935

Solve for xxx. 11−x+4=15−8x11^{-x+4}=15^{-8 x}11−x+4=15−8xWrite the exact answer using either base-10 or base-e logarithms.

Problem 2936

5−x−6=13−7x5^{-x-6}=13^{-7 x}5−x−6=13−7xNrite the exact answer using either base-10 or base-e logarithms.

Problem 2937

3 Homework Question 5, 4.1.43-BE HW Score: 22.22\%, 12 of 54 points Points: 0 of 4Original cost, $61,000;\$ 61,000 ;$61,000; life, 7 years; annual rate of value lost, 11%11 \%11% S=$\mathrm{S}=\$S=$ □\square□ (Round to the nearest cent.)

Problem 2938

Problem 2939

For the right triangles below, find the exact values of the side lengths qqq an The figures are not drawn to scale. (a) q=q=q= □\square□ (b) s=s=s= □\square□

Problem 2940

Problem 2941

Problem 2942

Problem 2943

For each given value of xxx, determine the value of yyy that gives a solution to the given linear equations in two unknowns. 3x−2y=18;x=4,x=−53 x-2 y=18 ; \quad x=4, x=-53x−2y=18;x=4,x=−5If x=4x=4x=4 what is yyy ? □\square□

Problem 2944

Problem 2945

Problem 2946

Problem 2947

Problem 2948

Problem 2949

Round intermediate calculations and final answer to four decimal places. Find the point on the parabola y=16−x2y=16-x^{2}y=16−x2 closest to the point (9,17)(9,17)(9,17). Closest point is □\square□ , □\square□ ) with the distance of □\square□ .

Problem 2950

$\lim _{x \rightarrow 0} \cos x=1$

б) $\frac{x+1}{x^{2}}-\frac{2 x^{2}}{x+1}=\frac{7}{2}$

$3^{2}-2 \cdot 3+u=\left(3^{3}-3 \cdot 8\right)(2)+u$

Find the partial fraction decomposition. $\frac{-2 x-12}{x^{3}-2 x^{2}}$

Find the partial fraction decomposition. $\frac{x^{2}-x+3}{x^{3}+2 x^{2}+x}$

Rewrite each equation as requested. (a) Rewrite as an exponential equation. $\log _{8} \frac{1}{64}=-2$ (b) Rewrite as a logarithmic equation. $3^{0}=1$

Rewrite each equation as requested. (a) Rewrite as a logarithmic equation. $4^{-3}=\frac{1}{64}$ (b) Rewrite as an exponential equation. $\log _{6} 6=1$

Rewrite each equation as requested. (a) Rewrite as a logarithmic equation. $e^{5}=y$ (b) Rewrite as an exponential equation. $\ln x=4$ (a) $\square$ (b) $\square$

Rewrite each equation as requested. (a) Rewrite as an exponential equation. $\ln 9=y$ (b) Rewrite as a logarithmic equation. $e^{x}=3$ (a) $\square$ $\square \log _{\square} \square$ (b) $\square$

Original cost, $\$ 55,000$ , life, 10 years, annual rate of value lost, $14 \%$ $\mathrm{s}=\$$ (Round to the nearest cent.)

(a) $\log _{3} 7-\log _{3} 5=\log _{3}$ !I (b) $\log _{5} \square+\log _{5} 7=\log _{5} 42$ (c) $2 \log _{8} 3=\log _{8} \square$

Nathan and Jackson are each saving money. - Nathan has $\$ 15$ saved and plans to save $\$ 5$ more each week. - Jackson has $\$ 25$ saved and plans to save $\$ 4$ more each week.
How many weeks will it be before both boys have saved the same amount of money?

(a) $\log _{5} 3+\log _{5} 4=\log _{5} 12$ (b) $\log _{8} 5-\log _{8} 3=\log _{8} \frac{5}{3}$ (c) $2 \log _{3} 5=\log _{3}$

For the following right triangle, find the side length $x$ .

For the following right triangle, find the side length $x$ .

In the figure below, $m \angle 4=112^{\circ}$ . Find $m<1, m \angle 2$ , and $m<3$ .

In the figure below, $m \angle 2=126^{\circ}$ . Find $m \angle 1, m \angle 3$ , and $m \angle 4$ .

Josh rented a truck for one day. There was a base fee of $\$ 19.95$ , and there was an additional charge of 77 cents for each mile driven. Josh had to pay $\$ 133.14$ when he returned the truck. For how many miles did he drive the truck? $\square$ miles

Solve for $u$ . $13=\frac{u}{7.68}+7$

Translate the sentence into an equation. Twice the difference of a number and 6 equals 5 . Use the variable $x$ for the unknown number. $\square$

Solve for $x$ . $11^{-3 x}=4^{x+5}$
Write the exact answer using either base-10 or base-e logarithms.

Translate the sentence into an equation. Two less than the product of 3 and a number is 5 . Use the variable $y$ for the unknown number.

Translate the sentence into an equation. Seven times the sum of a number and 9 equals 2. Use the variable $x$ for the unknown number. $\square$

Solve for $x$ . $11^{-x+4}=15^{-8 x}$
Write the exact answer using either base-10 or base-e logarithms.

$5^{-x-6}=13^{-7 x}$
Nrite the exact answer using either base-10 or base-e logarithms.

3 Homework Question 5, 4.1.43-BE HW Score: 22.22\%, 12 of 54 points Points: 0 of 4
Original cost, $\$ 61,000 ;$ life, 7 years; annual rate of value lost, $11 \%$ $\mathrm{S}=\$$ $\square$ (Round to the nearest cent.)

For the right triangles below, find the exact values of the side lengths $q$ an The figures are not drawn to scale. (a) $q=$ $\square$ (b) $s=$ $\square$

For each given value of $x$ , determine the value of $y$ that gives a solution to the given linear equations in two unknowns. $3 x-2 y=18 ; \quad x=4, x=-5$
If $x=4$ what is $y$ ? $\square$

Round intermediate calculations and final answer to four decimal places. Find the point on the parabola $y=16-x^{2}$ closest to the point $(9,17)$ . Closest point is $\square$ , $\square$ ) with the distance of $\square$ .

Use the intercepts to graph the equation. $5 x-3 y=15$

$\begin{array}{c}\text { Solve } 27-4 r=5 r \\ r=\ldots\end{array}$

Work out the value of $u$ in the equation below. $6 u=22-5 u$

Solve the logarithmic equation. $\ln x+\ln x^{5}=18$

(1)) 新, How many solutions does this equation have? $-8 u-7(-2 u+2)=6 u-14$ 1)）㸚 $\square$ one solution infinitely many solutions

Solve $7 y=5 y+16$ $y=\ldots$

Solve $\frac{x}{2}-3=8$ $x=\ldots$

A box contains 15 transistors, 4 of which are defective. If 4 are selected at random, find the probability of the statements below. a. All are defective b. None are defective a. The probability is $\square$ (Type a fraction. Simplify your answer.)

A beaker contains 75 milliliters ( mL ) of liquid solution composed of water and borie aeid in the ratio 16:9. How much boric acid must be added to the beaker to make the ratio $1: 1$ ?

Suppose that you borrow $\$ 2000.00$ from a friend and promise to pay back $\$ 3170.00$ in 3 years. What simple interest rate will you pay?
The simple interest rate is $\square$ \% (Round to the nearest tenth as needed.)

Solve $5 \sqrt{x+9}-3=3$ for $x$

The principal P is borrowed at a simple interest rate r for a period of time $t$ . Find the simple interest owed for the use of the money. Assume 360 days in a year. $P=\$ 7000, r=3 \%, t=1 \text { year }$ \\square$

Solve $29=5(2 u-3)$

$3 \frac{3}{5}-\frac{11}{20}=$
Submit

15.A 200 g mass is attached to a spring whose constant is $50 \mathrm{~N} / \mathrm{m}$ . Originally, the spring is neither stretched nor compressed. Then the mass is released. What will the maximum stretching of the spring be?

One grain of this sand approximately weighs $7 \times 10^{-5} \mathrm{~g}$ . b) How many grains of sand are there in 6300 kg of sand? Give your answer in standard from.

6. Find the mass of 250.0 mL of benzene. The density of benzene is $0.8765 \mathrm{~g} / \mathrm{mL}$ .

Calculate the volume of the triangular prism shown below. Give your answer in $\mathrm{cm}^{3}$ .

$u^{2}=12 u$
If there is more than one solution, separate them with comn If there is no solution, click on "No solution". $u=$ $\square$