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Problem 39101

Fill in the blank so that the resulting statement is true. The measure of central tendency that is the data item in the middle of ranked, or ordered, data is called the $\qquad$ .
The measure of central tendency that is the data item in the middle of ranked, or ordered, data is called the $\square$

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Problem 39102

$12+\frac{20}{x}=10$

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Problem 39103

Fill in the blank so that the resulting statement is true. A data value that occurs most often in a data set is the measure of central tendency called the $\qquad$ .
A data value that occurs most often in a data set is the measure of central tendency called the $\square$

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Problem 39104

Prove: $\triangle A E C \cong \triangle D F B$ .
Step Statement $\overline{A E} \| \overline{F D}$ 1 $\overline{B F} \| \overline{E C}$ $\overline{A C} \cong \overline{B D}$
Reason
Given try Type of Statement

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Problem 39105

$-2(x+2)=-12$

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Problem 39106

A cordless leaf blower has a price-demand equation given by $p=D(x)=4286.55-1.05 x^{2}$ dollars, which gives the price per leaf blower when $x$ leaf blowers are demanded. The price-supply equation for the leaf blower is given by $p=S(x)=1.5 x^{2}$ dollars, which gives the price per leaf blower when $x$ leaf blowers are supplied. Find the consumers' surplus and the producers' surplus.
The consumers' surplus is $\square$ (Your answer must begin with \$.)
The producers' surplus is $\square$ (Your answer must begin with \$.)

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Problem 39107

11. Given the following graph of $y=f(x)$ : a) Determine an equation of the graph in the form $y=a \sin (b(x-c))+d$ . $y=2 \sin \left(\frac{2}{3}\left(x-\frac{3 \pi}{2}\right)\right)+0$ b) Determine an equation of the graph in the form $y=a \cos (b(x-c))+d$ .

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Problem 39108

A cordless leaf blower has a price-demand equation given by $p=D(x)=4286.55-1.05 x^{2}$ dollars, which gives the price per leaf blower when $x$ leaf blowers are demanded. The price-supply equation for the leaf blower is given by $p=S(x)=1.5 x^{2}$ dollars, which gives the price per leaf blower when $x$ leaf blowers are supplied. Find the consumers' surplus and the producers' surplus.
The consumers' surplus is $\square$ (Your answer must begin with \$.)
The producers' surplus is $\square$ . (Your answer must begin with \$.)

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Problem 39109

A net force $F_{1}$ is exerted tangentially to the outside of a uniform disk of rotational inertia $I_{1}$ over an angular displacement of $\Delta \theta_{1}$ , causing the disk to gain rotational kinetic energy $\Delta K_{1}$ . The same net force is then exerted tangentially to the outside of a second uniform disk over the same angular displacement, causing the second disk to gain rotational kinetic energy $\Delta K_{2}$ . The second disk has the same radius as the first disk, but with rotational inertia $I_{2}=2 I_{1}$ . Which of the following is equal to the ratio $\Delta K_{1}: \Delta K_{2}$ (A) $2: 1$ (B) $1: 1$ (C) $1: 2$
D The ratio cannot be determined without knowing the relative masses of the disks.

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Problem 39110

Fifth National bank offers four different certificates of deposit (CD). The first CD (A) offers a $4 \%$ interest rate for amount greater than $\$ 10,000$ . The second CD (B) offers a $4.2 \%$ interest rate for amount greater than $\$ 25,000$ . The third CD (C) offers a $4.5 \%$ interest rate for amount greater than $\$ 30,000$ . Finally, the fourth CD (D) offers a $5 \%$ interest rate for amount greater than $\$ 35,000$ . A customer has $\$ 150,000$ to deposit. She wishes to deposit not more than $1 / 3$ of her money in any of the CDs. She likes to deposit exactly three times of her money in CD\#2 than CD\#1. She wishes the sum of the first and the second CDs to be less than or equal to the third CD.
How much of her money was not used for deposit after running the problem through Excel's Solver? \$10,000

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Problem 39111

MISSED THIS? Watch KCV 15.8, IWE 15.9; Read Section 15.8. You can click on the Review link to access the section in your eText.
For the following reaction, $\mathrm{K}_{\mathrm{c}}=255$ at 1000 K . $\mathrm{CO}(\mathrm{~g})+\mathrm{Cl}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{COCl}_{2}(\mathrm{~g})$
A reaction mixture initially contains a CO concentration of 0.1510 $M$ and a $\mathrm{Cl}_{2}$ concentration of 0.180 M at 1000 K . Part A
Part B
Part C
What is the equilibrium concentration of $\mathrm{COCl}_{2}$ at 1000 K ? Express your answer in molarity to three significant figures. View Available Hint(s) $\left[\mathrm{COCl}_{2}\right]=$ $\square$ M

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Problem 39112

Previous Problem Problem List Next Problem (1 point) Evaluate the integral. $\int 6 x \sin (-3 x) d x$
Answer = $\square$ $+C$

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Problem 39113

ACCT 210 - Cost and Management Accounting Cash Budgeting Practice Question
Venus Ltd decided to approached the bank for a short term loan for financing a new project. The bank requested a cash budget. The following table represents the financial dat a projected for the coming 6 months based on the previous year's operations, plus the incremental increase in revenue expected based on the new project.
Financial data: \begin{tabular}{|l|l|r|r|r|r|r|r|} \hline & \multicolumn{1}{l|}{ July } & August & September & October & November & December \\ \hline Sales & 100,000 & 125,000 & 200,000 & 230,000 & 280,000 & 325,000 \\ \hline Purchases & 60,000 & 75,000 & 120,000 & 138,000 & 168,000 & 195,000 \\ \hline Expenses & 25,000 & 30,000 & 45,000 & 60,000 & 73,000 & 82,000 \\ \hline 4 & Taxation & 2,500 & 2,500 & 2,500 & 2,500 & 2,500 & 2,500 \\ \hline 15 & Loan Proceeds & 60,000 & & & & & \\ \hline 16 & Project Expenses & 30,000 & 30,000 & & & & \\ \hline 17 & Loan Interest & 500 & 500 & 500 & 500 & 500 & \\ \hline 18 & Loan Principal Payment & 10,000 & 10,000 & 10,000 & 10,000 & 10,000 & 10,000 \\ \hline \end{tabular}
Further information: $2180 \%$ of sales are received in the month of sale $2220 \%$ of sales are collected in the month after the sale. June sales were $\$ 200,000$ . 23 Purchases are paid for one month after the purchase is made. Purchases for June were $\$ 55,000$ . 24 Expenses are paid for in the month in which they are incurred. 25 Estimated monthly taxation charges are paid for at the end of every quarter. 26 Opening cash and cash equivalents balance is $\$ 50,000$ . 27 Loan principal and interest are payable monthly. 28
29 Required: 30 Prepare the Cash Budget for the 6 month period from July to December. 31 32

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Problem 39114

$\int \frac{50 x+6}{(7 x+1)(x-1)} d x$ $\square$
Need Help? Read It Watch It Submit Answer 3. [-/1 Points] DETAILS MY NOTES SCALCET9 7.4.012.

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Problem 39115

In order to accumulate enough money for a down payment on a house, a couple deposits $\$ 244$ per month into an account paying $6 \%$ compounded monthly. If payments are made at the end of each period, how much money will be in the account in 7 years?
Type the amount in the account: \\square$ (Round to the nearest dollar.)

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Problem 39116

Confidence Intervals and Hypothesis Testing Confidence interval for the population standard deviation
The following data were randomly drawn from an approximately normal population. $48,50,55,62,66,69$ Send data to calculator
Based on these data, find a $90 \%$ confidence interval for the pepulation standard deviation. 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 formulas.)
Lower limit: Upper limit:

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Problem 39117

Part B Review I Constants I Periodic Table
When a chemical reaction is at equilibrium, $Q$ (the reaction quotient) is equal to $K$ (the equilibrium constant). If a stress is applied to the mixture that changes the value of $Q$ , then the system is no longer at equilibrium. To regain equilibrium, the reaction will either proceed forward or in reverse until $Q$ is equal to $K$ once again. Alternatively, equilibrium can be disrupted by a change in temperature, which changes the value of $K$ . The result however is the same, and the reaction will proceed forward or in reverse until $Q$ is equal to the new $K$ . Le Châtelier's principle summarizes this idea:
If a stress is applied to a reaction mixture at equilibrium, a net reaction occurs in the direction that relieves the stress. - The following system is at equilibrium: $\mathrm{A}(\mathrm{s})+4 \mathrm{~B}(\mathrm{~g}) \rightleftharpoons \mathrm{C}(\mathrm{g})$ Classify each of the following actions by whether it causes a leftward shift, a rightward shift, or no shift in the direction no shift in the direction of the net reaction.
Drag the appropriate items to their respective bins. View Available Hint(s) Reset Help
Halve the volume Remove some A Double the volume Add more A
Leftward shift Rightward shift No shift

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Problem 39118

A pole that is 2.8 m tall casts a shadow that is 1.38 m long. At the same time, a nearby building casts a shadow that is 44.5 m long. How tall is the building? Round your answer to the nearest meter. m Start over

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Problem 39119

Halla el cociente. \begin{array}{r} 6 5 \longdiv { 9 3 7 } \\ 937 \div 65= \end{array} $\square$ (Escr

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Problem 39120

10) $4 x^{2} \cdot 3 x$ 11) $\frac{2 n^{2}}{n}$ 12) $\left(2 x^{4} y^{4}\right)^{4}$ 13) $v^{3} \cdot 10 u^{3} v^{5} \cdot 8 u v^{3}$ 14) $\frac{(7)^{3}(5)^{2}(7)(5)^{3}}{(7)^{4}(5)^{4}}$ 15) $\left(4 n^{3} \cdot n^{2}\right)^{2}$ 16) $\frac{2 x^{2} y^{4} \cdot 4 x^{2} y^{4} \cdot 3 x}{3 x^{-3} y^{2}}$ 17) $\frac{\left(2 x^{3} z^{2}\right)^{3}}{x^{3} y^{4} z^{2} \cdot x^{-4} z^{3}}$

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Problem 39121

Graph the given system of inequalities. $\left\{\begin{array}{l} x+y>5 \\ x+y<-7 \end{array}\right.$
Which of the following shows the graph of the system? A. B. c. D. (No solution)

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Problem 39122

A student with mass $m$ runs and jumps onto the outer edge of a stationary horizontal platform that is free to rotate about an axis at the center of the platform. The platform has mass $M$ , radius $R$ , and rotational inertia $\frac{1}{2} M R^{2}$ . Immediately before landing on the platform the student has horizontal speed $v$ directed tangentially to the outer edge of the platform. Which of the following is equal to the angular momentum of the student about the platform's axis immediately before landing on the platform? (A) $\frac{1}{2} R m v$ (B) Rmv (C) $\frac{1}{2} R M v$ (D) $R M v$

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Problem 39123

Halla el cociente. 6 5 \longdiv { 9 3 7 } $937 \div 65=$ $\square$ (Escribe un número entero, una fracción propia o un número mixto).

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Problem 39124

Video: How to Find T-Value from a T-Table? t-table.pdf $\square$ What is the $t$ value with a $95 \%$ confidence interval for the true population mean if the sample size $\mathrm{n}=23$ ? (Please keep three decimal places) t value = $\square$ Submit Question

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Problem 39125

The graph shows the angular momentum $L$ of a rigid system as a function of time $t$ . Which of the following statements about the torque exerted on the system is supported by the graph?
A The torque decreases in magnitude and is in the same direction as the angular momentum.
B The torque decreases in magnitude and is in the opposite direction of the angular momentum. (C) The torque increases in magnitude and is in the same direction as the angular momentum.
D The torque increases in magnitude and is in the opposite direction of the angular momentum.

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Problem 39126

1 point)
Simplify each expression $\sqrt[3]{-80}$ by writing in simplest radical form $A \sqrt[3]{C}$ . Answer: $A=$ $\square$ and $C=$ $\square$

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Problem 39127

What is the conjugate acid of $\mathrm{HPO}_{3}{ }^{2-}$ ? Express your answer as a chemical formula. View Available Hint(s) $\square$ Aг $\phi$ $x^{a}$ $x_{b}$ a $\frac{a}{b}$ $\bar{x}$ $\rightarrow$ $\rightleftharpoons$ - (x) A chemical reaction does not occur for this question.

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Problem 39128

Problem 3. (1 point) Evaluate $\int_{10}^{13} \frac{3}{\sqrt{x}} d x$ using the Fundamental Theorem of Calculus, Part 2. Use exact answers only. Use 'sqrt' to mean square root in your final answer. $\int_{10}^{13} \frac{3}{\sqrt{x}} d x=\square$ help (numbers).

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Problem 39129

(b) Use your work in (a) to help you evaluate the following indefinite integrals. Use differentiation to check your work. (Don't forget the " $+C^{\text {" }}$ .) (i) $\int x e^{x}+e^{x} d x=\left(\mathrm{xe}^{\wedge} \mathrm{x}\right)+\mathrm{C}$ (ii) $\int e^{x}(\sin (x)+\cos (x)) d x=\left(\mathrm{e}^{\wedge} \mathrm{x}\right) \sin (\mathrm{x})+\mathrm{C}$ (iii) $\int 2 x \cos (x)-x^{2} \sin (x) d x=\left(x^{\wedge} 2\right) \sin (x)+2 x \cos (x)-2 \sin (x$ . (iv) $\int x \cos (x)+\sin (x) d x=x \sin (x)+C$ (v) $\int 1+\ln (x) d x=x \ln (\mathrm{x})+\mathrm{C}$ $\qquad$ (c) Observe that the examples in (b) work nicely because of the derivatives you were asked to calculate in (a). Each integrand in (b) is precisely the result of differentiating one of the products of basic functions found in (a). To see what happens when an integrand is still a product but not necessarily the result of differentiating an elementary product, we consider how to evaluate

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Problem 39130

lect the equivalent expression. $\left(s^{-7} \cdot s^{6}\right)^{\frac{1}{2}}$
Answer $\sqrt{s}$ $s^{2}$ $\frac{1}{s^{2}}$ $\frac{1}{\sqrt{s}}$
You have up to 7 questions left to raise your score.

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Problem 39131

$\text{Given the function } f \text{ with domain } [-1, 1], \text{ such that } f(-1) = -1, \, f\left(-\frac{1}{2}\right) = -2, \, f^{\prime}\left(-\frac{1}{2}\right) = 0, \text{ and } f^{\prime \prime}(x) > 0 \text{ on } (-1, 1).$ \text{Curve sketch the function } f.

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Problem 39132

Suppose we want to evaluate the definite integral, $\int_{2} \overline{(5 x+7)^{2}} d x$ using the substitution, $u=5 x+7$ .
Part 1.
Re-write the definite integral in terms of the variable $u$ and remember to use the limits of integration for the function $u=f(x)$ . Then, inferut the antiderivative of the integrand and the limits of integration you found. $\square$ $=\square$ $\square$ $=[\square]$
Part 2.

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Problem 39133

MISSED THIS? Watch KCV 16.5; Read Section 16.5. You can click on the Review link to access the section in your eText. \begin{tabular}{|c|l|l|} \hline Name & \multicolumn{1}{|c|}{ Formula } & \multicolumn{1}{c|}{ $K_{\mathrm{a}_{1}}$ } \\ \hline Acetic & $\mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}$ & $1.8 \times 10^{-5}$ \\ \hline Benzoic & $\mathrm{HC}_{7} \mathrm{H}_{5} \mathrm{O}_{2}$ & $6.5 \times 10^{-5}$ \\ \hline Chloric & $\mathrm{HClO}_{3}$ & $>1$ \\ \hline Chlorous & $\mathrm{HClO}_{2}$ & $1.1 \times 10^{-2}$ \\ \hline Hydrochloric & HCl & $>1$ \\ \hline Hydrocyanic & HCN & $4.9 \times 10^{-10}$ \\ \hline Hydrobromic & HBr & $>1$ \\ \hline Hydrofluoric & HF & $6.8 \times 10^{-4}$ \\ \hline Hydroiodic & HI & $>1$ \\ \hline Hypochlorous & $\mathrm{HClO}_{10}$ & $2.9 \times 10^{-8}$ \\ \hline Nitric & $\mathrm{HNO}_{3}$ & $>1$ \\ \hline Nitrous & $\mathrm{HNO}_{2}$ & $4.6 \times 10^{-4}$ \\ \hline Perchloric & $\mathrm{HClO}_{4}$ & $>1$ \\ \hline Phenol & $\mathrm{HC}_{6} \mathrm{H}_{5} \mathrm{O}$ & $1.3 \times 10^{-10}$ \\ \hline \end{tabular}
Part A
Rank the solutions in order of decreasing $\left[\mathrm{H}_{3} \mathrm{O}^{+}\right]$ . Rank solutions from largest to smallest hydronium irin concentration. To rank items as equivalent, overlap them. View Available Hint(s) \begin{tabular}{|l|l|l|l|l|} \hline \multicolumn{5}{|c|}{ Largest concentration } \\ & & & Smallest concentration \\ & & & \\ \hline \end{tabular}
The correct ranking cannot be determined. Submit Previous Answers

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Problem 39134

3) According to a study done by the Pew Research Center, 39\% of adult Americans believe that marriage is now obsolete. Suppose a random sample of 500 adult Americans is asked whether marriage is obsolete. When calculating a probability, draw the graph of the normal curve and shade the appropriate area. a. (3 points) Verify the three conditions for the distribution of the sample proportion to be normally distributed. b. (1 point) Calculate the mean and standard deviation for the distribution of the sample proportion. Page 3 of 4
Name: $\qquad$ Score: $\qquad$ /20 pts c. (1 point) What is the probability that in a random sample of 500 adult Americans less than $38 \%$ believe that marriage is obsolete? d. (1 point) What is the probability that in a random sample of 500 adult Americans between $40 \%$ and $45 \%$ believe that marriage is obsolete? e. (1 point) Would it be unusual for a random sample of 500 adult Americans to result in 210 or more who believe marriage is obsolete? Show your work.

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Problem 39135

A sun in a distant galaxy has an estimated Mass of $1.67216 \times 10^{30} \mathrm{~kg}$ and the earth has a mass of $5.972 \times 10^{24} \mathrm{~kg}$ , how many earths would it take to equal the mass of the sun? Write your answer in scientific notation.
It would take $\square$ earths to equal the mass of the sun.

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Problem 39136

A sun in a distant galaxy has an estimated Mass of $1.493 \times 10^{32} \mathrm{~kg}$ and the earth has a mass of $5.972 \times 10^{24} \mathrm{~kg}$ , how many earths would it take to equal the mass of the sun? Write your answer in scientific notation.
It would take $\square$ earths to equal the mass of the sun.

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Problem 39137

(9) $\frac{m}{7}+4=-8$

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Problem 39138

Determine whether the given ordered pair is a solution of the system. $\begin{array}{l} (2,-6) \\ 7 x+2 y=2 \\ 5 x-3 y=25 \end{array}$

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Problem 39139

Graph the given function by making a table of coordinates. $f(x)=\left(\frac{3}{4}\right)^{x}$
Complete the table of coordinates. \begin{tabular}{|c|c|c|c|c|c|} \hline $\mathbf{x}$ & -2 & -1 & 0 & 1 & 2 \\ \hline $\mathbf{y}$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular} (Type integers or fractions. Simplify your answers.)

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Problem 39140

Solve the system by the method of your choice. $\left\{\begin{array}{l} x=8 y+4 \\ 2 x-16 y=8 \end{array}\right.$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is exactly one solution. The solution set is $\}$ . (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions. The solution set is $\{(x, y) \mid x=8 y+4\}$ or $\{(x, y) \mid 2 x-16 y=8\}$ . C. The solution set is $\varnothing$ .

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Problem 39141

7. $\frac{d}{d x} \cos ^{2}\left(x^{3}\right)=$ (A) $6 x^{2} \sin \left(x^{3}\right) \cos \left(x^{3}\right)$ (B) $6 x^{2} \cos \left(x^{3}\right)$ (C) $\sin ^{2}\left(x^{3}\right)$ (D) $-6 x^{2} \sin \left(x^{3}\right) \cos \left(x^{3}\right)$ (E) $-2 \sin \left(x^{3}\right) \cos \left(x^{3}\right)$

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Problem 39142

The difference between the squares of two numbers is 3 . Three times the square of the first number increased by the square of the second number is 13. Find the numbers.

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Problem 39143

Previous Problem Problem List Next Problem (1 point) Use part II of the Fundamental Theorem of Calculus evaluate the definite integral: $\int_{4}^{18} 2 \sqrt{x} d x=$ $\square$
Show: $\square$ CorrectAnswers Preview My Answers Check Answers
You have attempted this problem 0 times. This homework set is closed.

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Problem 39144

Find the formula for an exponential function that passes through the two points given. Round to four decimal places if necessary. $(-4,5)$ and $(2,1)$ $f(x)=$
Question Help: 用 Written Example Submit Question

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Problem 39145

Use term-by-term differentiation or integration to find a power series centered at $x=0$ for: $f(x)=\tan ^{-1}\left(x^{9}\right)=\sum_{n=0}^{\infty}$ $\square$
Question Help: Post to forum Submit Question

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Problem 39146

8) $2 x+10=7 x-5$ 9) $12-x=3 x+4$

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Problem 39147

Simplify completely. $\frac{\sqrt{6} \sqrt{84}}{\sqrt{2}}$ A. 252 B. $\sqrt{252}$ C. $7 \sqrt{6}$ D. $6 \sqrt{7}$ E. $36 \sqrt{7}$

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Problem 39148

RiemannSums24: Problem 2 Previous Problem Problem List Next Problem (1 point) The value of the limit $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{2+\frac{4 i}{n}}$ is equal to the area below the graph of a function $f(x)$ on an interval $[A, B]$ . Find $f, A$ , and $B$ . (Do not evaluate the limit.) $f(x)=$ $\square$ $A=$ $\square$ (use $A=0$ ) $B=$ $\square$
Note: You can earn partial credit on this problem.

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Problem 39149

13. Solve $z^{6}+z^{3}+1=0$ (hint: solve $z^{9}-1=0$ first).

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Problem 39150

Graph functions $f$ and $g$ in the same rectangular coordinate system. Graph and give the equation of the asymptote. $f(x)=3^{x} \text { and } g(x)=-3^{x}$
Graph functions f and g , and graph any asymptotes as dashed lines. Use the graphing tool to graph the functions.
Click to enlarge graph

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Problem 39151

ply It proportional Use what you learned to solve these problems. relationshi
At a certain bookstore, you get $\$ 5$ coupon for every 4 books you buy. What is least number of books you could buy to get $\$ 15$ in coupons? Show your work. Courm bask 15 divided by $1,25=$ $\qquad$ $4 \div 4$

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Problem 39152

Given the function $f(x)=-3 x^{2}+8$ , calculate the following values. If the answer is undefined, write DNE. $f(8)=$ $\square$ $f(-6)=$ $\square$ $f(0)=$ $\square$

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Problem 39153

Vector $\mathbf{v}$ has initial point $P(11,12)$ and terminal point $Q(19,-1)$ . Vector $\mathbf{w}$ has initial point $R(7,12)$ and terminal point $S(-1,-1)$ .
Part: $0 / 3$ $\square$
Part 1 of 3 (a) Find the magnitude of $\mathbf{v}$ . Give the exact answer in simplest form. $\|\mathbf{v}\|=$ $\square$ $\sqrt{\square}$

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Problem 39154

Find the value of $c$ in rectangle TUVW. $c=$

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Problem 39155

A chemist dissolves $859 . \mathrm{mg}$ of pure perchloric acid in enough water to make up $80 . \mathrm{mL}$ of solution. Calculate the pH of the solution. Round your answer to 2 significant decimal places. $\square$ $\times 10$

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Problem 39156

Recall domain can be defined as "the set of input values for a function, which produce valid output values".
Give the domain of $p(x)=x^{6}+x^{3}-4 x^{2}+3 x+5$ in interval notation. $\square$

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Problem 39157

Solve the system by using any method. If a system does not have one unique solution, state whether the system is inconsistent or whether the equations are dependent. $\begin{array}{l} 5 x+y=20 \\ x+\frac{1}{5} y=4 \end{array}$

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Problem 39158

2. 50 naranjas caben en 3 cajas, cuántas naranjas caben en: a) 1 caja b) 2 cajas c) 4 cajas d) 6 cajas

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Problem 39159

On Melissa's 6th birthday, she gets a $\$ 5000 \mathrm{CD}$ that earns $4 \%$ interest, compounded semiannually. If the CD matures on her 14th birthday, how much money will be available?
The amount available will be \\square$ (Simplify your answer. Round to the nearest cent.)

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Problem 39160

In the diagram, which is not drawn to scale, $G$ is the incenter of $\triangle D E F, m \angle D E F=63^{\circ}$ , and $m \angle E F D=2 \cdot m \angle E D F$ . Find $m \angle E F D$ and $m \angle E D F$ , $\mathrm{m} \angle E D F=$

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Problem 39161

3. Un auto a $60 \mathrm{~km} / \mathrm{h}$ se demora 10 minutos en Ilegar a su objetivo, cuanto tiempo demora si va a: a) $10 \mathrm{~km} / \mathrm{h}$ b) $40 \mathrm{~km} / \mathrm{h}$ c) $80 \mathrm{~km} / \mathrm{h}$ d) $4^{*}[] \mathrm{km} / \mathrm{h}$

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Problem 39162

One antifreeze solution is $43 \%$ alcohol and another is $19 \%$ alcohol. How much of each mixture should be added to make 42 L of a solution that is $35 \%$ alcohol?

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Problem 39163

Question 7 Drag to correctly arrange the scenarios in order of increasing work. Least Work :::: 1000 N is exerted to jump a distance of 2 m . :::: 1200 N is exerted to push a football sled 0.5 m . :::: 350 J of work is done to lift a weight 0.2 m . :::: 50 N is used to hold a box. Most Work

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Problem 39164

Find the circumcenter of the triangle.
The circumcenter of the triangle is $\square$ (Type an ordered pair)

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Problem 39165

4. Un auto a $60 \mathrm{~km} / \mathrm{h}$ se demora 10 minutos en llegar a su obje zivo, a qué velocidad tiene que ir si nécesita llegar en: a) 1 minutc b) 5 minutos c) 15 minutos d) [ ] minutos

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Problem 39166

5. Una macuina envasa 1200 latas de refresco en 8 horas. Cuántas latas de refresco envasara en: a) 1 hora b) 5 horas c) 12 horas d) [ ] horas

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Problem 39167

Suppose you have $\$ 12,000$ to invest. Which of the two rates would yield the larger amount in 4 years: $7 \%$ compounded daily or $6.90 \%$ compounded continuously?
Which of the two rates would yield the larger amount in 4 years? $6.90 \%$ compounded continuously $7 \%$ compounded daily

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Problem 39168

Give the degrees of freedom for the chi-square test based on the two-way table. \begin{tabular}{l|llll|l} \hline & D & E & F & G & Total \\ \hline A & 39 & 34 & 43 & 34 & 150 \\ B & 78 & 89 & 70 & 93 & 330 \\ C & 23 & 37 & 27 & 33 & 120 \\ \hline Total & 140 & 160 & 140 & 160 & 600 \\ \hline \end{tabular}
Degrees of freedom $=$ $\square$

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Problem 39169

6. Una maçuina envasa 1200 latas de refresco en 8 horas. Cuántas horas se demora en envasar: a) 50 latas b) 100 latas c) 200 latas d) $100^{*}[$ ] latas

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Problem 39170

Solve $(v+9)^{3}-40=0$ where $v$ is a real number. Write your answer in simplified radical form. (If there is more than one solution, separate them with commas.) $v=$ $\square$ No solution $\sqrt{\square}$ $\square$ $\square$

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Problem 39171

7. 4 camiones tienen que hacer 6 viajes para transportar toda la mercancía de la fábrica al centro comercial. Cuántos viajes tienen que hacer: a)
1 camión b) 2 camiones c) 6 camiones d) [
I camiones

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Problem 39172

\begin{tabular}{l|ccc|c} & HS & Some & College & Total \\ \hline Agree & 364 & 164 & 197 & 725 \\ Disagree & 558 & 471 & 787 & 1816 \\ \begin{tabular}{l} Don't \\ know \end{tabular} & 15 & 28 & 30 & 73 \\ \hline Total & 937 & 663 & 1014 & 2614 \\ \hline \end{tabular}
Table 1 Educational level and belief in One True Love
Round your answer for the chi-square statistic to one decimal place, and your answer for the $p$ -value to three decimal places. chi-square statistic $=$ $\square$ $p$ -value $=$ $\square$
Conclusion: $\square$ $H_{0}$ 。

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Problem 39173

$\sum_{n=4}^{\infty} \frac{3^{n+1}}{5^{n-4}}=$

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Problem 39174

A chemist dissolves $162 . \mathrm{mg}$ of pure hydrochloric acid in enough water to make up $340 . \mathrm{mL}$ of solution. Calculate the pH of the solution. Round your answer to 3 significant decimal places. $\square$ ${ }^{\square} 0^{7}$

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Problem 39175

Solve for $x$ : $7^{5 x-2}=6^{7 x-6}$

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Problem 39176

1.- Escribir la razón pedida en cada uno de los siguientes casos: En una tier da trabajan 60 hombres y 35 mujeres. Encontrar la razón entre
El número de hombres y el número de mujeres El número de hombres y el total de trabajadores El número de mujeres y el total de trabajadores

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Problem 39177

2.- Calcular el valor de las siguientes razones: 1) $24: 8$ 2) $4: 8$ 3) $6: 24$ 4) $49: 7$ 5) $16: 4$

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Problem 39178

$70(1.04)^{n}=3185$
Write your answers exactly. (i.e. no decimal approximations and simplified if possible), separated by a comma. $n=$ $\square$ Write your answers as decimals rounded to four decimal places. $n \approx$ $\square$

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Problem 39179

Calcula el término que ralta en cada proporcion. $\begin{array}{llrl} \frac{3}{6} & =\frac{11}{a} & \frac{2}{40} & =\frac{b}{60} \\ \frac{5}{35} & =\frac{c}{420} & \frac{6}{8} & =\frac{42}{d} \\ \frac{e}{8} & =\frac{35}{40} & \frac{2}{f} & =\frac{6}{42} \end{array}$

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Problem 39180

1. Verify that each of the following mappings is nilpotent, and find the smallest $k$ such that $N^{k}=0$ . c) $N: P_{3}(\mathbf{C}) \rightarrow P_{3}(\mathbf{C})$ defined by $N(p)=p^{\prime \prime}-3 p^{\prime}$ .

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Problem 39181

$20(1.18)^{t}=1760$
Write your answers exactly (i.e. no decimal approximations and simplified if possible), separated by a comma. $t=$
Write your answers as decimals rounded to four decimal places. $t \approx$

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Problem 39182

(1 point) When air expands adiabatically (without gaining or losing heat), its pressure $P$ and volume $V$ are related by the equation $P V^{1.4}=C$ where $C$ is a constant. Suppose that at a certain instant the volume is 530 cubic centimeters and the pressure is 93 kPa and is decreasing at a rate of $11 \mathrm{kPa} /$ minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?
Answer: $\square$ Note: Pa stands for Pascal One $P a$ is equivalent to one Newton $/ \mathrm{m}^{2} \cdot k P a$ is a kiloPascal or 1000 Pascals.

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Problem 39183

\text{A graduate student majoring in linguistics is interested in studying the number of students in her college who are bilingual. Of the 2,489 students at the college, 466 of them are bilingual.}
\text{If the graduate student conducts a study and samples 40 students at the college, use the graph below to determine the probability that 9 or fewer of them are bilingual.} \begin{enumerate} \item \text{Drag and move the blue dot to select the appropriate probability graph area from the four options on the left. (Note - there are four graphs available to choose from. Only select between less than, greater than, and area between graphs.)} \item \text{Use the Central Limit Theorem to find $\hat{p}$ and $q^{\wedge} p$ .} \item \text{Calculate the $z$ -score for $\hat{p}$ and move the slider along the $x$ -axis to the appropriate $z$ -score.} \item \text{The purple area under the curve represents the probability of the event occurring. Interpret the purple area under the curve.} \end{enumerate}
\text{Remember, do not round any values or change fractions to approximated decimals during calculations. Only round the calculated zscore to two places and all other final answers to three decimal places.}
\text{Provide your answer below:} $\begin{array}{l} p=\square \\ \hat{p}=\square \end{array}$ $\sigma_{\hat{p}}=\square$ $z=\square$ $P(X \leq 9)=\square$

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Problem 39184

A coin collector sells III-Vth century Roman sesterces (a silver coin of ancient Rome) via an internet link. Her last week's sales are shown in the spreadsheet table below. (Hint: she sold each sesterce for \27.00) \begin{tabular}{||c|c|c|c|} \hline \mathbf{4} & A & B & C \\ \hline 1 & Week Day & \# sold & Amount (\$) \\ \hline 2 & Solis & 3 & 81 \\ \hline 3 & Lunae & 4 & 108 \\ \hline 4 & Martis & 2 & 54 \\ \hline 5 & Mercurii & 2 & 54 \\ \hline 6 & Iovis & 7 & 189 \\ \hline 7 & Veneris & 4 & 108 \\ \hline 8 & Saturni & 5 & 135 \\ \hline 9 & Total =$ & 27 & 729 \\ \hline & & & \\ \hline \end{tabular}
What formula is needed to calculate the amount, in dollars, she earned on Mercurii (latin for Wednesday)? $=27^{} B 5$ =B5 sum(27:B5) =sum(27:B5) $27^{}$ B5

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Problem 39185

Derivar $f(x)=\frac{1}{x+4}$ .

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Problem 39186

20. Use the graph of $y=4 \cos (3 x)$ to solve each trigonometric equation. a) $4 \cos (3 x)-4,0 \leq x \leq 2 \pi$ b) $4 \cos (3 x)=2$ , general solution in radians

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Problem 39187

Identifying The Characteristics of a Logarithmic Function Complete the table below for the Logarithmic Function $f(x)=\log _{5}(x+4)$ . \begin{tabular}{|l||c|} \hline \hline \begin{tabular}{l} Domain \\ (Use Interval Notation) \end{tabular} & $\square$ \\ \hline \hline Range \\ (Use Interval Notation) & $\square$ \\ \hline \hline X-intercept & $\square$ \\ \hline \hline Vertical Asymptote & $\square$ \\ \hline \end{tabular}

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Problem 39188

Find the value of $x$ .

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Problem 39189

2. Given triangle $A B C$ , if $a=57 \mathrm{~m}, b=70 \mathrm{~m}$ , and $c=105 \mathrm{~m}$ , what is the area of triangle $A B C$ to the nearest square metre?

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Problem 39190

Consider two functions $f$ and $g$ on $[3,7]$ such that $\int_{3}^{7} f(x) d x=13, \int_{3}^{7} g(x) d x=6, \int_{4}^{7} f(x) d x=5$ , and $\int_{3}^{4} g(x) d x=4$ . Evaluate the following integrals. a. $\int_{3}^{4} 2 f(x) d x=16$ (Simplify your answer.) b. $\int_{3}^{7}(f(x)-g(x)) d x=\square$ (Simplify your answer.)

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Problem 39191

Find the values of $x, y$ , and $z$ .
Not all answer choices will be used.

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Problem 39192

What is $n$ for the following compounding periods? (a) quarterly $n=$ $\square$ (b) semiannually $n=$ $\square$ (c) monthly $n=$ $\square$ (d) daily $n=$ $\square$

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Problem 39193

Question 11
Suppose an investment account is opened with an initial deposit of \ $13,000 earning$ 7.9 \%$ interest compounded continuously. How much will the account be worth after 35 years? Round to the nearest cent.
The account will be worth \\square$ Question Help: Fritten Example Submit Question

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Problem 39194

What is $n$ for the following compounding periods? (a) quarterly $n=4 \quad \text { Nice! }$ $\begin{array}{l} \text { (b) semiannually } \\ n=2 \end{array}$ $\square$ Nice work! $\begin{array}{l} \text { (c) monthly } \\ n=12 \end{array}$ (d) daily $n=\square$ $\qquad$ Learn It: Calculate a Future Value Us

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Problem 39195

Derivar la función $f(x)=\cos ^{4}(3 x)$ .

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Problem 39196

Compare the future amounts $(A)$ you would have if the money were invested at simple interest and if it were invested with annual compounding. (Rou $\$ 7,600$ at $13 \%$ for 30 years simple interest $A=\$ 37240$ $\square$ Great! compound interest $A=\$$ $\square$ Suggested tutorials:

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Problem 39197

In the following chemical reaction, 2 mol of A will react with 1 mol of B to produce 1 mol of $\mathrm{A}_{2} \mathrm{~B}$ without anything left over: $2 \mathrm{~A}+\mathrm{B} \rightarrow \mathrm{~A}_{2} \mathrm{~B}$
But what if you're given 2.8 mol of A and 3.2 mol of $B$ ? The amount of product formed is limited by the reactant that runs out first, called the limiting reactant. To identify the limiting reactant, calculate the amount of product formed from each amount of reactant separately: $\begin{array}{l} 2.8 \operatorname{mot} \mathrm{~A} \times \frac{1 \mathrm{~mol} \mathrm{~A}_{2} \mathrm{~B}}{2 \operatorname{mot} \mathrm{~A}}=1.4 \mathrm{~mol} \mathrm{~A}_{2} \mathrm{~B} \\ 3.2 \mathrm{mot} \mathrm{~m} \times \frac{1 \mathrm{~mol} \mathrm{~A}_{2} \mathrm{~B}}{1 \operatorname{mot} \mathrm{~B}}=3.2 \mathrm{~mol} \mathrm{~A}_{2} \mathrm{~B} \end{array}$
Notice that less product is formed with the given amount of reactant A . Thus, A is the limiting reactant, and a maximum of 1.4 mol of $\mathrm{A}_{2} \mathrm{~B}$ can be formed from the given amounts.
Aluminum reacts with chlorine gas to form aluminum chloride via the following reaction: $2 \mathrm{Al}(\mathrm{~s})+3 \mathrm{Cl}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{AlCl}_{3}(\mathrm{~s})$
You are given 14.0 g of aluminum and 19.0 g of chlorine gas.
Part A
If you had excess chlorine, how many moles of of aluminum chloride could be produced from 14.0 g of aluminum Express your answer to three significant figures and include the appropriate units.
View Available Hint(s) $\square$ Value Units Submit Reanest Answer Submit

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Problem 39198

Бодлого 19. $\left(\frac{1}{2} x^{-1} y^{2}\right)^{-2}$ илэрхийллийг хялбарчилна уу. A) $\frac{1}{4} x^{2} y^{-4}$ B) $\frac{4 x^{2}}{y^{4}}$ C) $\frac{1}{4} x^{2} y^{4}$ D) $\frac{1}{4} x^{-2} y^{4}$

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Problem 39199

A biologist is studying how water temperature affects feeding habits of a certain species of fish. She collects measurements from several days, collecting data on the water temperature and the quantity of live food the fish has consumed per day (in kg ). The data appear in the table. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|l|} \hline Temperature $\left({ }^{\circ} \mathrm{C}\right)$ & 15 & 34 & 26 & 15 & 20 & 22 & 35 & 19 & 31 & 25 & 30 \\ \hline Consumption rate (kg/day) & 0.1 & 1.7 & 0.7 & 0.2 & 0.6 & 0.5 & 1.6 & 0.4 & 1.4 & 0.6 & 0.8 \\ \hline \end{tabular}
Identify the independent and dependent variable.

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Problem 39200

1. En la siguiente tabla de se muestran los años de servicio de una muestra de 100 empleados de un banco. Completa la tabla como en los ejemplos de la guía. Luego, calcula la desviación estándar y la varianza. \begin{tabular}{|c|c|} \hline Años & $N^{\circ}$ Empleados \\ \hline $0-2$ & 40 \\ \hline $3-5$ & 25 \\ \hline $6-8$ & 20 \\ \hline $9-11$ & 10 \\ \hline $12-14$ & 5 \\ \hline \end{tabular}

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Math

Problem 39101

Problem 39102

12+20x=1012+\frac{20}{x}=1012+x20​=10

Problem 39103

Fill in the blank so that the resulting statement is true. A data value that occurs most often in a data set is the measure of central tendency called the \qquad .A data value that occurs most often in a data set is the measure of central tendency called the □\square□

Problem 39104

Prove: △AEC≅△DFB\triangle A E C \cong \triangle D F B△AEC≅△DFB.Step Statement AE‾∥FD‾\overline{A E} \| \overline{F D}AE∥FD 1 BF‾∥EC‾\overline{B F} \| \overline{E C}BF∥EC AC‾≅BD‾\overline{A C} \cong \overline{B D}AC≅BDReasonGiven try Type of Statement

Problem 39105

−2(x+2)=−12-2(x+2)=-12−2(x+2)=−12

Problem 39106

Problem 39107

Problem 39108

Problem 39109

Problem 39110

Problem 39111

Problem 39112

Previous Problem Problem List Next Problem (1 point) Evaluate the integral. ∫6xsin⁡(−3x)dx\int 6 x \sin (-3 x) d x∫6xsin(−3x)dxAnswer = □\square□ +C+C+C

Problem 39113

Problem 39114

∫50x+6(7x+1)(x−1)dx\int \frac{50 x+6}{(7 x+1)(x-1)} d x∫(7x+1)(x−1)50x+6​dx □\square□Need Help? Read It Watch It Submit Answer 3. [-/1 Points] DETAILS MY NOTES SCALCET9 7.4.012.

Problem 39115

Problem 39116

Problem 39117

Problem 39118

A pole that is 2.8 m tall casts a shadow that is 1.38 m long. At the same time, a nearby building casts a shadow that is 44.5 m long. How tall is the building? Round your answer to the nearest meter. m Start over

Problem 39119

Halla el cociente. \begin{array}{r} 6 5 \longdiv { 9 3 7 } \\ 937 \div 65= \end{array} □\square□ (Escr

Problem 39120

Problem 39121

Graph the given system of inequalities. {x+y>5x+y<−7\left\{\begin{array}{l} x+y>5 \\ x+y<-7 \end{array}\right.{x+y>5x+y<−7​Which of the following shows the graph of the system? A. B. c. D. (No solution)

Problem 39122

Problem 39123

Halla el cociente. 6 5 \longdiv { 9 3 7 } 937÷65=937 \div 65=937÷65= □\square□ (Escribe un número entero, una fracción propia o un número mixto).

Problem 39124

Video: How to Find T-Value from a T-Table? t-table.pdf □\square□ What is the ttt value with a 95%95 \%95% confidence interval for the true population mean if the sample size n=23\mathrm{n}=23n=23 ? (Please keep three decimal places) t value = □\square□ Submit Question

Problem 39125

Problem 39126

1 point)Simplify each expression −803\sqrt[3]{-80}3−80​ by writing in simplest radical form AC3A \sqrt[3]{C}A3C​. Answer: A=A=A= □\square□ and C=C=C= □\square□

Problem 39127

Problem 39128

Problem 39129

Problem 39130

lect the equivalent expression. (s−7⋅s6)12\left(s^{-7} \cdot s^{6}\right)^{\frac{1}{2}}(s−7⋅s6)21​Answer s\sqrt{s}s​ s2s^{2}s2 1s2\frac{1}{s^{2}}s21​ 1s\frac{1}{\sqrt{s}}s​1​You have up to 7 questions left to raise your score.

Problem 39131

Problem 39132

Problem 39133

Problem 39134

Problem 39135

Problem 39136

Problem 39137

(9) m7+4=−8\frac{m}{7}+4=-87m​+4=−8

Problem 39138

Determine whether the given ordered pair is a solution of the system. (2,−6)7x+2y=25x−3y=25\begin{array}{l} (2,-6) \\ 7 x+2 y=2 \\ 5 x-3 y=25 \end{array}(2,−6)7x+2y=25x−3y=25​

Problem 39139

Problem 39140

Problem 39141

Problem 39142

The difference between the squares of two numbers is 3 . Three times the square of the first number increased by the square of the second number is 13. Find the numbers.

Problem 39143

Problem 39144

Find the formula for an exponential function that passes through the two points given. Round to four decimal places if necessary. (−4,5)(-4,5)(−4,5) and (2,1)(2,1)(2,1) f(x)=f(x)=f(x)=Question Help: 用 Written Example Submit Question

Problem 39145

Use term-by-term differentiation or integration to find a power series centered at x=0x=0x=0 for: f(x)=tan⁡−1(x9)=∑n=0∞f(x)=\tan ^{-1}\left(x^{9}\right)=\sum_{n=0}^{\infty}f(x)=tan−1(x9)=n=0∑∞​ □\square□Question Help: Post to forum Submit Question

Problem 39146

8) 2x+10=7x−52 x+10=7 x-52x+10=7x−5 9) 12−x=3x+412-x=3 x+412−x=3x+4

Problem 39147

Simplify completely. 6842\frac{\sqrt{6} \sqrt{84}}{\sqrt{2}}2​6​84​​ A. 252 B. 252\sqrt{252}252​ C. 767 \sqrt{6}76​ D. 676 \sqrt{7}67​ E. 36736 \sqrt{7}367​

Problem 39148

Problem 39149

13. Solve z6+z3+1=0z^{6}+z^{3}+1=0z6+z3+1=0 (hint: solve z9−1=0z^{9}-1=0z9−1=0 first).

Problem 39150

Problem 39151

Problem 39152

Given the function f(x)=−3x2+8f(x)=-3 x^{2}+8f(x)=−3x2+8, calculate the following values. If the answer is undefined, write DNE. f(8)=f(8)=f(8)= □\square□ f(−6)=f(-6)=f(−6)= □\square□ f(0)=f(0)=f(0)= □\square□

Problem 39153

Problem 39154

Find the value of ccc in rectangle TUVW. c=c=c=

Problem 39155

A chemist dissolves 859.mg859 . \mathrm{mg}859.mg of pure perchloric acid in enough water to make up 80.mL80 . \mathrm{mL}80.mL of solution. Calculate the pH of the solution. Round your answer to 2 significant decimal places. □\square□ ×10\times 10×10

$12+\frac{20}{x}=10$

Fill in the blank so that the resulting statement is true. A data value that occurs most often in a data set is the measure of central tendency called the $\qquad$ .
A data value that occurs most often in a data set is the measure of central tendency called the $\square$

Prove: $\triangle A E C \cong \triangle D F B$ .
Step Statement $\overline{A E} \| \overline{F D}$ 1 $\overline{B F} \| \overline{E C}$ $\overline{A C} \cong \overline{B D}$
Reason
Given try Type of Statement

$-2(x+2)=-12$

Previous Problem Problem List Next Problem (1 point) Evaluate the integral. $\int 6 x \sin (-3 x) d x$
Answer = $\square$ $+C$

$\int \frac{50 x+6}{(7 x+1)(x-1)} d x$ $\square$
Need Help? Read It Watch It Submit Answer 3. [-/1 Points] DETAILS MY NOTES SCALCET9 7.4.012.

Halla el cociente. \begin{array}{r} 6 5 \longdiv { 9 3 7 } \\ 937 \div 65= \end{array} $\square$ (Escr

Graph the given system of inequalities. $\left\{\begin{array}{l} x+y>5 \\ x+y<-7 \end{array}\right.$
Which of the following shows the graph of the system? A. B. c. D. (No solution)

Halla el cociente. 6 5 \longdiv { 9 3 7 } $937 \div 65=$ $\square$ (Escribe un número entero, una fracción propia o un número mixto).

Video: How to Find T-Value from a T-Table? t-table.pdf $\square$ What is the $t$ value with a $95 \%$ confidence interval for the true population mean if the sample size $\mathrm{n}=23$ ? (Please keep three decimal places) t value = $\square$ Submit Question

1 point)
Simplify each expression $\sqrt[3]{-80}$ by writing in simplest radical form $A \sqrt[3]{C}$ . Answer: $A=$ $\square$ and $C=$ $\square$

lect the equivalent expression. $\left(s^{-7} \cdot s^{6}\right)^{\frac{1}{2}}$
Answer $\sqrt{s}$ $s^{2}$ $\frac{1}{s^{2}}$ $\frac{1}{\sqrt{s}}$
You have up to 7 questions left to raise your score.

(9) $\frac{m}{7}+4=-8$

Determine whether the given ordered pair is a solution of the system. $\begin{array}{l} (2,-6) \\ 7 x+2 y=2 \\ 5 x-3 y=25 \end{array}$

Find the formula for an exponential function that passes through the two points given. Round to four decimal places if necessary. $(-4,5)$ and $(2,1)$ $f(x)=$
Question Help: 用 Written Example Submit Question

Use term-by-term differentiation or integration to find a power series centered at $x=0$ for: $f(x)=\tan ^{-1}\left(x^{9}\right)=\sum_{n=0}^{\infty}$ $\square$
Question Help: Post to forum Submit Question

8) $2 x+10=7 x-5$ 9) $12-x=3 x+4$

Simplify completely. $\frac{\sqrt{6} \sqrt{84}}{\sqrt{2}}$ A. 252 B. $\sqrt{252}$ C. $7 \sqrt{6}$ D. $6 \sqrt{7}$ E. $36 \sqrt{7}$

13. Solve $z^{6}+z^{3}+1=0$ (hint: solve $z^{9}-1=0$ first).

Given the function $f(x)=-3 x^{2}+8$ , calculate the following values. If the answer is undefined, write DNE. $f(8)=$ $\square$ $f(-6)=$ $\square$ $f(0)=$ $\square$

Find the value of $c$ in rectangle TUVW. $c=$

A chemist dissolves $859 . \mathrm{mg}$ of pure perchloric acid in enough water to make up $80 . \mathrm{mL}$ of solution. Calculate the pH of the solution. Round your answer to 2 significant decimal places. $\square$ $\times 10$

Recall domain can be defined as "the set of input values for a function, which produce valid output values".
Give the domain of $p(x)=x^{6}+x^{3}-4 x^{2}+3 x+5$ in interval notation. $\square$

Solve the system by using any method. If a system does not have one unique solution, state whether the system is inconsistent or whether the equations are dependent. $\begin{array}{l} 5 x+y=20 \\ x+\frac{1}{5} y=4 \end{array}$

On Melissa's 6th birthday, she gets a $\$ 5000 \mathrm{CD}$ that earns $4 \%$ interest, compounded semiannually. If the CD matures on her 14th birthday, how much money will be available?
The amount available will be \\square$ (Simplify your answer. Round to the nearest cent.)

One antifreeze solution is $43 \%$ alcohol and another is $19 \%$ alcohol. How much of each mixture should be added to make 42 L of a solution that is $35 \%$ alcohol?

Find the circumcenter of the triangle.
The circumcenter of the triangle is $\square$ (Type an ordered pair)

4. Un auto a $60 \mathrm{~km} / \mathrm{h}$ se demora 10 minutos en llegar a su obje zivo, a qué velocidad tiene que ir si nécesita llegar en: a) 1 minutc b) 5 minutos c) 15 minutos d) [ ] minutos

6. Una maçuina envasa 1200 latas de refresco en 8 horas. Cuántas horas se demora en envasar: a) 50 latas b) 100 latas c) 200 latas d) $100^{*}[$ ] latas

Solve $(v+9)^{3}-40=0$ where $v$ is a real number. Write your answer in simplified radical form. (If there is more than one solution, separate them with commas.) $v=$ $\square$ No solution $\sqrt{\square}$ $\square$ $\square$

7. 4 camiones tienen que hacer 6 viajes para transportar toda la mercancía de la fábrica al centro comercial. Cuántos viajes tienen que hacer: a)
1 camión b) 2 camiones c) 6 camiones d) [
I camiones

$\sum_{n=4}^{\infty} \frac{3^{n+1}}{5^{n-4}}=$

A chemist dissolves $162 . \mathrm{mg}$ of pure hydrochloric acid in enough water to make up $340 . \mathrm{mL}$ of solution. Calculate the pH of the solution. Round your answer to 3 significant decimal places. $\square$ ${ }^{\square} 0^{7}$