Equation

Problem 1601

Find the slope of the following linear equation. If the slope is undefined, enter UND for "undefined". x=14x=-14
Answer

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Problem 1602

Find the missing number in the proportion. 2418=8x\frac{24}{18}=\frac{8}{x}

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Problem 1603

8. A company makes two different sized ice cream cones. The smaller cones are 3.5 inches tall and have a diameter of 3 inches. The larger cones are 5.1 inches tall and have a diameter of 4.5 inches. About how much greater, to the nearest tenth of a cubic inch, is the volume of the larger cone than the volume of the smaller cone? (8.G.9

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Problem 1604

The number of cells in a tumor doubles every 3.5 months. If the tumor begins with a single cell, how many cells will there be after 3 years? after 4 years?
How may cells will there be after 3 years? \square (Do not round until the final answer. Then round to the nearest whole number as needed.)

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Problem 1605

Question 19
Find all zeros, real and nonreal, of the function f(x)=9x421x333x2+63x54f(x)=9 x^{4}-21 x^{3}-33 x^{2}+63 x-54. Give exact answers, using radicals and fractions, not decimals.
The zeros are \square

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Problem 1606

Write the sentence as an equation. ww is equal to 7 divided by mm
Type a slash ( / ) if you want to use a division sign.

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Problem 1607

5
Fill in the Blank 1 point Add the correct number (coefficient) in front of each element/compound to balance the following equation: type your answer... type your answer... O2\mathrm{O}_{2} \rightarrow \square type your answer... MgO \square
Previous

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Problem 1608

20. A patient is delivered 4000 cGy over 20 fractions through a single field via SSD technique. The patient is treated on a 10 MV unit to a depth of 12 cm . The patient is treated at 115 SSD, the PDD is 75.5%75.5 \%, the collimator scatter factor is 1.025 , the phantom scatter is 1.012 , and the reference dose rate is 1.000 . What is the MU of the field?

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Problem 1609

Substitution in the Indefinite Integral \qquad Part 1. \qquad
Using the substitution: u=x4u=x-4. Re-write the indefinite integral then evaluate in terms of uu. x2x4dx==\int \frac{x^{2}}{\sqrt{x-4}} d x=\int \square=\square \square Note: answer should be in terms of uu only \qquad Part 2. \qquad
Back substituting in the antiderivative you found in Part 1. above we have x2x4dx=\int \frac{x^{2}}{\sqrt{x-4}} d x= \square Note: answer should be in terms of xx only

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Problem 1610

11 \leftarrow Suppose a is to b as c is to d ; that is, ab=cd\frac{a}{b}=\frac{c}{d}. Complete parts a through dd below. (a) Beginning with ab=cd\frac{a}{b}=\frac{c}{d}, show that bb is to aa as dd is to cc. What is the first step? A. Cross multiply. B. Add ba\frac{b}{a} to the left side and dc\frac{d}{c} to the right side. C. Subtract bb from the left side and dd from the right side. D. Subtract ba\frac{b}{a} from the left side and dc\frac{d}{c} from the right side.

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Problem 1611

Use the compound interest formulas A=P(1+rn)ntA=P\left(1+\frac{r}{n}\right)^{n t} and A=PettA=P e^{\mathrm{tt}} to solve the problem given. Round answers to the nearest cent. Find the accumulated value of an investment of $20,000\$ 20,000 for 4 years at an interest rate of 4%4 \% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously. a. What is the accumulated value if the money is compounded semiannually? \ \square(Roundyouranswertothenearestcent.Donotincludethe (Round your answer to the nearest cent. Do not include the \$$ symbol in your answer.) b. What is the accumulated value if the money is compounded quarterly? $\square$ (Round your answer to the nearest cent. Do not include the $\$$ symbol in your answer.) c. What is the accumulated value if the money is compounded monthly? \$ $\square$ (Round your answer to the nearest cent. Do not include the $\$$ symbol in your answer.) d. What is the accumulated value if the money is compounded continuously? $\square$ \$ (Round your answer to the nearest cent. Do not include the $\$$ symbol in your answer.)

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Problem 1612

y=ln(2xx)y=\ln \left(\frac{2 x}{x}\right)

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Problem 1613

17. A patient is delivered 270 cGy on a 10 MV unit via a single field. The MU is determined to be 350 . If a wedge with a factor of 0.79 is placed, what is the new MU?

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Problem 1614

3 Numeric 1 point Determine the amount of moles in the following: 300 grams of Na2SO4\mathrm{Na}_{2} \mathrm{SO}_{4} Note: Round your answer to the nearest hundredth.
Type your answer...

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Problem 1615

4 A value of 500 increases by 12%12 \%. Part A Write an equation that could be used to find the new value.

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Problem 1616

8. Find the value of the hypotenuse 60.2560.25
9. Find the value of the angle BB (in the lower ri

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Problem 1617

The formula A=P(1+rn)ntA=P\left(1+\frac{r}{n}\right)^{n t} describes the accumulated value, AA, of a sum of money, PP, the principal, after tt years at annual percentage rate rr (in decimal form) compounded nn times a year. Fomplete the table for a savings account subject to n compounding periods per year. \begin{tabular}{|c|c|c|c|c|} \hline \begin{tabular}{c} Amount \\ Invested \end{tabular} & \begin{tabular}{c} Number of \\ Compounding Periods \end{tabular} & \begin{tabular}{c} Annual Interest \\ Rate \end{tabular} & \begin{tabular}{c} Accumulated \\ Amount \end{tabular} & \begin{tabular}{c} Time t \\ in Years \end{tabular} \\ \hline$11,500\$ 11,500 & 2 & 6.25%6.25 \% & $22,000\$ 22,000 & ?? \\ \hline \end{tabular} \square years Do not round until the final answer. Then round to one decimal place as needed.)

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Problem 1618

7. Calculate the radius of the circular path taken by an alpha particle of charge 3.2×1019C3.2 \times 10^{-19} \mathrm{C} and a mass of 6.7×1027 kg6.7 \times 10^{-27} \mathrm{~kg} injected at a speed of 1.5×107 m/s1.5 \times 10^{7} \mathrm{~m} / \mathrm{s} into a uniform magnetic field of 2.4 T , at right angles to the field. (4 marks)

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Problem 1619

3 Fill in the Blank 1 point
A 16 foot long ladder is leaning against a wall. the base of the ladder is 6 feet from the bottom of the wall. Determine how high the ladder reaches up the wall. Fill in the blank with the correct value Round to the nearest hundredth if necessary. type your answer... feet

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Problem 1620

9. Given PRSCFH\triangle P R S \cong \triangle C F H, find the values of x,yx, y, and zz.

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Problem 1621

2. The paralympic committee of a sitting volleyball club has indicated that the mean score achieved by the sports' members in the past was 85.9. A group of members believes that recent changes to the sitting volleyball court have led to a change in the mean score achieved by the club's members and decides to investigate this belief. A random sample of the scores, xx, of 100 club members was taken and is summarized by x=8350 and (xxˉ)2=15321\sum x=8350 \quad \text { and } \quad \sum(x-\bar{x})^{2}=15321 where xˉ\bar{x} denotes the sample mean. Test, at the 5%5 \% level of significance, the group's belief that the mean score of 85.9 has changed.

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Problem 1622

3. a) Use the double angle formula: cos2x=2cos2x1\cos 2 x=2 \cos ^{2} x-1 to evaluate cosπ12\cos \frac{\pi}{12}.

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Problem 1623

6 Multiple Cholce 1 point Two points, JJ and SS, have been plotted on the coordinate plane.
What is the exact distance between the points JJ and SS ? 9 289\sqrt{289} 369\sqrt{369} 27

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Problem 1624

Rewrite the following in exponential form: a) log8(18)=1\log _{8}\left(\frac{1}{8}\right)=-1 \square b) log(117)=x\log (117)=x \square c) ln(x)=1\ln (x)=-1 \square

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Problem 1625

There are 92 kids in second grade, and 47 of them are girls. How man second grade? \square boys Submit

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Problem 1626

The weights of four randomly and independently selected bags of tomatoes labeled 5 pounds were found to be 5.2,4.9,5.25.2,4.9,5.2, and 5. 맘 Assume Normality. a. Using a two-sided alternative hypothesis, should you be able to reject the hypothesis that the population mean is 5pounds using a significance level of 0.05 Why or why not? The confidence interval is reported here: I am 95\%onfident the population mean is between 4.8and 5.3pounds. b. Now test the hypothesis that the population mean is not 5 pounds. Use a significance level of 0.05 . b. Determine the null and alternative hypotheses. Choose the correct answer below. A. H0:μ=5\mathrm{H}_{0}: \mu=5 B. H0:μ=5H_{0}: \mu=5 C. H0:μ>5\mathrm{H}_{0}: \mu>5 Ha:μ<5H_{a}: \mu<5 Ha:μ>5H_{a}: \mu>5 Ha:μ5H_{a}: \mu \leq 5 D. H0:μ5Ha:μ=5\begin{array}{l} H_{0}: \mu \neq 5 \\ H_{a}: \mu=5 \end{array} E. H0:μ=5Ha:μ5\begin{array}{l} H_{0}: \mu=5 \\ H_{a}: \mu \neq 5 \end{array} F. H0:μ<5\mathrm{H}_{0}: \mu<5 Ha:μ5H_{a}: \mu \geq 5
Find the test statistic. t=\mathrm{t}= \square (Round to two decimal places as needed.)

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Problem 1627

1
In Country A, the population mean height for 3-year-old boys is 39 inches. Suppose a random sample of 153 -year-old boys from Country B showed a sample mean of 38.7 inches with a standard deviation of 4 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05 .
Which of the following correctly states H0\mathrm{H}_{0} and Ha\mathrm{H}_{a} ? A. H0:μ=39H0:μ39\begin{array}{l}H_{0}: \mu=39 \\ H_{0}: \mu \neq 39\end{array} H0:μ39H_{0}: \mu \geq 39 c. H0:μ=39H_{0}: \mu=39 B. Ha:μ<39H_{a}: \mu<39 . Ha:μ<39H_{a}: \mu<39
H0:μ>39H_{0}: \mu>39 D. Ha:μ39H_{a}: \mu \leq 39 H0:μ39H_{0}: \mu \neq 39 F. H0:μ=39Ha:μ>39\begin{array}{l}H_{0}: \mu=39 \\ H_{a}: \mu>39\end{array}

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Problem 1628

Question 5 (1 point) Solve the following exponential equation by applying the One to One Property of Exponentiation (matching the bases). The answer will be an integer. 4x1=8x+24^{x-1}=8^{x+2} \square AA

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Problem 1629

ne inch is around 211202 \frac{11}{20} centimeters. 5120\frac{51}{20} a. How many centimeters long is 3 inches? Show your reasoning. 5120×31=15320=71320\frac{51}{20} \times \frac{3}{1}=\frac{153}{20}=7 \frac{13}{20} b. What fraction of an inch is 1 centimeter? Show your reasoning. c. What question can be answered by finding 10÷2112010 \div 2 \frac{11}{20} ?

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Problem 1630

Find the value of X in each pair of similar figures.\text{Find the value of } X \text{ in each pair of similar figures.} Given:\text{Given:} S=15 in, R=20, and T=XS = 15 \text{ in, } R = 20, \text{ and } T = X N=L=20 in, M=12 inN = L = 20 \text{ in, } M = 12 \text{ in} Assume the figures are similar and use the proportions to solve for X.\text{Assume the figures are similar and use the proportions to solve for } X.

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Problem 1631

6) A tree casts a shadow 60 feet long. At the same time, a nearby 8 -foot post casts a 12 foot shadow. How tall is the tree?

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Problem 1632

Question If 0=2x2x5y20=-2 x^{2}-x-5 y^{2} then find dydx\frac{d y}{d x} in terms of xx and yy.
Answer Attempt 1 out of 3

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Problem 1633

10. 32=s1932=s-19

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Problem 1634

17. You have some baseball trading cards. You give 21 baseba cards to a friend and have 9 left for yourself. How many baseball cards were in your original deck? Write and solve an equation to find tt, the number of baseball cards in your original deck.

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Problem 1635

Use the definition of the logarithmic function to find xx. (Simplify your answer completely.)  (a) log3(x)=3x=\begin{array}{l} \text { (a) } \quad \log _{3}(x)=-3 \\ x=\square \end{array}  (b) log5(625)=xx=\begin{array}{l} \text { (b) } \quad \log _{5}(625)=x \\ x=\square \end{array}

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Problem 1636

Write an equation for a rational function with:
Vertical asymptotes at x=2x=-2 and x=2x=2 xx intercepts at x=3x=3 and x=6x=6 yy intercept at 5 y=y=

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Problem 1637

The wheel and piston device shown above consists of a wheel of radius 1 foot that is connected at the point W\mathbf{W} to a piston at P\mathbf{P} by a connecting rod (represented by the segment WP in the diagram) of length 8 feet. The wheel rotates counterclockwise at a rate of of 4 radians per second as the piston moves up and down along the yy-axis. (Click the hint to see animation). The point W\mathbf{W} is at (1,0)(1,0) at t=0t=0 seconds. a) What is the measure of angle θ\theta after tt seconds? θ=\theta=

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Problem 1638

The following information was obtained when carrying out an experiment to determine the Enthalpy (ΔH)(\Delta \mathrm{H}) of neutralization reaction between HCl and NaOH . 100 mL of 2.00 M HCl solution was added to 95.00 mL of 2.00 M solution of NaOH . The final temperature reached was 35.40C35.40^{\circ} \mathrm{C} and the initial temperature at mixing was 22.15C22.15^{\circ} \mathrm{C}. The density of the mixture was 1.04 g/mL\mathrm{g} / \mathrm{mL} and its specific heat capacity was 3.89 J/gC3.89 \mathrm{~J} / \mathrm{g}-{ }^{\circ} \mathrm{C}. How many moles of HCl were used to neutralize the NaOH in the reaction? (A) 0.19 mol (B) 0.20 mol (C) 0.39 mol (D) 95 mol

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Problem 1639

The following information was obtained when carrying out an experiment to determine the Enthalpyof neutralization (ΔH)(\Delta \mathrm{H}) reaction between HCl and NaOH . 100 mL of 2.00 M HCl solution was added to 95.00 mL of 2.00 M solution of NaOH . The final temperature reached was 35.40C35.40^{\circ} \mathrm{C} and the initial temperature at mixing was 22.15C22.15^{\circ} \mathrm{C}. The density of the reaction mixture was 1.04 g/mL1.04 \mathrm{~g} / \mathrm{mL} and the specific heat capacity was 3.89 J/gC3.89 \mathrm{~J} / \mathrm{g}-{ }^{\circ} \mathrm{C}. What is the temperature change observed during the reaction? (A) 13.25C13.25^{\circ} \mathrm{C} (B) 13.25C-13.25^{\circ} \mathrm{C} (C) 54.55C54.55^{\circ} \mathrm{C} (D) 5.67C5.67^{\circ} \mathrm{C}

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Problem 1640

Polygon ABGHA B G H \cong Polygon CDEF Find the value of xx.

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Problem 1641

solve proportions." ronfer with an elbow partner \checkmark Review "Math Notes: Proportions (1" Onty)" (Spiral notebook \downarrow Google Classroom) VWatch "Proportions (\#S Oniy)" YouTube videos (Google Classroom) \checkmark Refer to enVisionmath 2.0 Textbook volume 2 (Pages 263-274)
Unit 3 Math Worksheet \#2 Solve for xx. Round answers to the hundredths place, if applicable.
1. 1216=x20\frac{12}{16}=\frac{x}{20}
2. x12=128\frac{x}{12}=\frac{12}{8}

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Problem 1643

Draw on the place value chart to divide. Then complete the equation. Problem 1 has been started for you.
1. 63÷3=63 \div 3= \qquad
2. 36÷2=36 \div 2= \qquad

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Problem 1645

2. Kelly opened a bank account that earns 1.2\% simple interest each year. After 7 years, Kelly will earn $126\$ 126 in interest. How much did Kelly deposit when she opened the account?

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Problem 1646

Graph this line: y+7=14(x+5)y+7=\frac{1}{4}(x+5)
Click to select points on the graph.

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Problem 1647

m Chapel Hill High What Desmos I Graph ×\times circle centre (0,h×(0, h \times Equation of a Ci×\mathrm{Ci} \times circle 105/assignments/10930/0 80\%
Search Help I Tova Ohlich (12543739) L Logout Gradebook * External Remaining Time: 02:34:10
The figure above shows a circle of radius r=3r=3 inscribed in the parabola y=5x2y=5 x^{2} Find the yy-coordinate of the center of the circle. (The xx-coordinate of the center is zero.) Submit Assignment Quit \& Save

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Problem 1648

Gabe planted 15 sunflower seeds, and 40%40 \% of them have sprouted. How many of the sunflower seeds have sprouted?
Pick the model that represents the oroblem. \begin{tabular}{|c|c|c|c|c|c|} \hline 0\% & 20\% & 40\% & 60\% & 80\% & 100\% \\ \hline 0 & & ? & & & 15 \\ \hline 0\% & 20\% & 40\% & 60\% & 80\% & 100\% \\ \hline 0 & & 15 & & & ? \\ \hline \end{tabular}
How many of the sunflower seeds nave sprouted? - (1) \square seeds

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Problem 1649

8. If the rotation angle θ=5π2\theta=\frac{5 \pi}{2} radians and the angular speed ω=5π16\omega=\frac{5 \pi}{16} radians per minute, find the rotation time tt in minut
Enter your next step here

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Problem 1650

During the first half of a basketball game, a team made 60%60 \% of their 30 field goal attempts. During the second half, they scored on only 30%30 \% of 40 attempts from the field. What was their field goal shooting percentage for the entire game?
The team's field goal shooting percentage for the entire game was \square \%. (Round to the nearest whole number as needed.)

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Problem 1651

During recess, 60 kids played capture the flag. If 15 kids were on the winning team, what percent of the kids were on the winning team?
Pick the model that represents the oroblem.

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Problem 1652

Which of the following shows 1612\frac{16}{12} as a mixed number and 1581 \frac{5}{8} as an improper fraction? 1612=1412\frac{16}{12}=1 \frac{4}{12} and 158=681 \frac{5}{8}=\frac{6}{8} 1612=113\frac{16}{12}=1 \frac{1}{3} and 158=1381 \frac{5}{8}=\frac{13}{8} 1612=86\frac{16}{12}=\frac{8}{6} and 158=1851 \frac{5}{8}=1 \frac{8}{5} 1612=43\frac{16}{12}=\frac{4}{3} and 158=1581 \frac{5}{8}=\frac{15}{8}

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Problem 1653

In a given population of men and women, 30%30 \% of the men are married and 40%40 \% of the women are married. What percentage of the adult population is married? Assume that, in this particular population, the number of married men is the same as the number of married women.
Of the adult population, \square %\% is married. Assume that the number of married men is equal to the number of married women. (Round to two decimal places as needed.)

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Problem 1654

Trisha made a scale drawing of a restaurant. A countertop in the restaurant, which is 5 feet long in real life, is 10 inches long in the drawing. What scale f=f= does the drawing use?
Simplify your answer and write it as a fraction. \square
Submit

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Problem 1655

Save \& Exit Certity Lesson: 10.1 Introduction to Probability
Question 7 of 16, Step 1 of 1 5/16 Correct JAQUELINE HERNANDEZ
A sample of 400 adults found that 94 do not like cold weather. However, 108 of those studied said that they had interest in taking skiing lessons. Based on this sample, if an adult is chosen at random, what is the probability that he or she has no desire to take skiing lessons? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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Problem 1656

3) Write an equation for a rational function with vertical asymptotes at x=3x=-3 and x=6,xx=6, x-intercepts at (2,0)(-2,0) and (1,0)(1,0), and a horizontal asymptote at y=2y=-2. Check that your answer is reasonable using Desmos.

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Problem 1657

The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. Thaddeus wants to attend a sports camp this spring that costs $170.00\$ 170.00 for the week. He rakes leaves during the fall and earns $58.35\$ 58.35. He shovels snow during the winter and earns $85.80\$ 85.80. How much more money does Thaddeus need to earn to pay for the sports camp? Write your answer as a decimal. Thaddeus needs to earn \ \qquad$ .
The solution is \square

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Problem 1658

Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose also that it takes 150 workers 14 weeks to build 12 miles of highway. How many workers would be needed to build 15 miles of highway in 21 weeks?

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Problem 1659

x510x11=0x^{5} - 10x - 11 = 0
25501251,36\frac{25-501}{25-1,-36}
1) 5,362) 3) 4) \begin{array}{l} \text{1) } 5,-36 \\ \text{2) } \\ \text{3) } \\ \text{4) } \end{array}
5)
b)
7)
8)
(9)
8 (1)
(1)

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Problem 1660

Score: 0/1 Penalty: 1 off Watch Video Show Examples
Question William is going to invest in an account paying an interest rate of 5.5%5.5 \% compounded monthly. How much would William need to invest, to the nearest hundred dollars, for the value of the account to reach $980\$ 980 in 7 years? Answer Attempt 1 out of 2 Submit Answer

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Problem 1661

1. Extrema on an ellipse Find the points on the ellipse x2+2y2=1x^{2}+2 y^{2}=1 where f(x,y)=xyf(x, y)=x y has its extreme values.

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Problem 1662

Convert the integral 02xxdydx\int_{0}^{\sqrt{2}} \int_{-x}^{x} d y d x to polar coordinates and evaluate it (use tt for θ\theta ): With a=a= \square \square \square and d=d= \square 02xxdydx=abcddrdt\int_{0}^{\sqrt{2}} \int_{-x}^{x} d y d x=\int_{a}^{b} \int_{c}^{d} \square d r d t =abdt=ab=.\begin{aligned} = & \int_{a}^{b} \square d t \\ & =\square_{a}^{b} \\ & =\square . \end{aligned}

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Problem 1663

A. IDENTIFY THE SLOPE AND Y-INT
1. y=B+1y=B+1 slope/m: ype of slope: Rositive intercept/b: y=mx+by=m x+b

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Problem 1664

Carlos got 130 pieces of candy on Halloween, and 39 of them were lollipops. What percent of the pieces of candy were lollipops?
Pick the model that represents the oblem. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline 0%0 \% \\ \hline & & & & & \\ 100 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|} \hline 0\% & ? & 100 \\ \hline 0 & 39 & 130 \\ \hline \end{tabular}

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Problem 1665

[y+2=12(x+52]\left[y+2=\frac{1}{2}\left(x+5^{2}\right] \quad\right. SKETCH A) VERTEX: B) ×1NT\times 1 N T \qquad c) YINT: =5+z1=\frac{5+z}{-1} p) (UR lDOWN (s)RCHE ONE) ). max/min:ym a x / m i n: y : \qquad ق) Axis of Symm T TRY: \qquad 5) Domnon: \qquad \qquad H). RAWGE: \qquad -

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Problem 1666

80%80 \% of the 400 pieces of art at the Classical Art Museum are paintings. How many pieces of art are paintings?
Pick the model that represents the roblem. 0%10%20%30%40%0 \% 10 \% \quad 20 \% \quad 30 \% \quad 40 \% 50\% 60\% 70\% 80\% 90\% 100\% \square 0 ? 400 0%10%20%30%40%0 \% 10 \% \quad 20 \% \quad 30 \% \quad 40 \% 50\% 60\% 70\% 80\% 90\% 100\% \square 0 400 ?

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Problem 1667

A recent survey showed that 93 full-time employees out of a sample of 400 did not use all of their vacation days last year. However, 118 of those studied expressed a desire for more vacation time. Based on this sample, if a full-time employee is chosen at random, what is the probability that he or she is content with the vacation allowance? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Answer Keypac Keyboard Shortcı

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Problem 1668

Listen
Write the word sentence as an equation. Then solve the equation. 10 more than a number c is 3.
Equation: \square
Solution: c=c= \square

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Problem 1669

5. y=1/2x+1y=1 / 2 x+1 slope/m: \qquad Type of slope: \qquad y-intercept/b: \qquad

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Problem 1670

The wheel and piston device shown above consists of a wheel of radius 1 foot that is connected at the point W\mathbf{W} to a pistion at P\mathbf{P} by a connecting rod (represented by the segment WP in the diagram) of length 7 feet. The wheel rotates counterclockwise at a rate of of 5 radians per second as the piston moves up and down along the yy-axis. (Click the hint îo see animation). The point W\mathbf{W} is at (1,0)(1,0) at t=0t=0 seconds. a) What is the measure of angle θ\theta after tt seconds? θ=\theta=
5 t \square radians
b) Find the coordinates of point W\mathbf{W} at time tt seconds. x=cos(5t)y=sin(5t)\begin{array}{l} x=\cos (5 t) \\ y=\sin (5 t) \end{array} c) Find the yy-coordifate of P\mathbf{P} at time tt seconds. (The xx-coordinate of P\mathbf{P} is always zero.) y=y= \square
Section Attempt 1 of 4 Verify

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Problem 1671

Consider the parabola given by the equation: y=1x2+2x+3y=-1 x^{2}+2 x+3
Find the following for this parabola: A) The vertex =(=( \square \square ) B) The yy intercept is the point ( 0 , \square ) C) Find the two values of xx that correspond to the xx intercepts of the parabola and write them as a list, separated by commas: x=x= \square

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Problem 1672

7. Jacob used 1/71 / 7 of a liter of water to fill 1/91 / 9 of the fish aquariu many liters of water are needed to fill the aquarium?

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Problem 1673

1 0 0 \longdiv { 1 , 0 0 0 }

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Problem 1674

Six players on the Sluggers baseball team are pitchers. The pitchers make up 25\% of the team. How many players are on the Sluggers baseball team? )) Pick the model that represents the oblem. \begin{tabular}{|c|c|c|c|c|} \hline 0\% & 25\% & 50\% & 75\% & 100\% \\ \hline 0 & 6 & & & ? \\ \hline 0\% & 25\% & 50\% & 75\% & 100\% \\ \hline 0 & ? & & & 25 \\ \hline \end{tabular}

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Problem 1675

8. Mason used 1/61 / 6 of a gram of honey to make 1/121 / 12 of a pan of pudding. How many grams of honey are needed to make a full pan of pudding?

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Problem 1676

11. y=x2y=-x-2 \begin{tabular}{|c|c|c|c|} \hlinexx & x2-x-2 & yy & (x,y)(x, y) \\ \hline 0 & & & \\ \hline 1 & & & \\ \hline 2 & & & \\ \hline \end{tabular}
SLOPE /m= rise  run =/ m=\frac{\text { rise }}{\text { run }}= At what point does the line cross the yy-axis/b/y-intercept = \qquad

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Problem 1677

foucis mom haf 32 cei alove has 6 more then ner Mo Lere Lare?

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Problem 1678

Love's morm ha\} 32cat alove has mom hel ma hy cals dues Lore have?

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Problem 1679

73÷20=73 \div 20=

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Problem 1680

[5]) Find the distance between the points (8,5)(8,-5) and (8,10)(8,10). [x].] Round decimals to the nearest tenth. 㷇 \square units

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Problem 1681

Look at the equation below. 679×=8,148679 \times \square=8,148 at is the value of the rectangle? A 10 B 11 C 12 D 14

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Problem 1682

1) S4 A\mathrm{S}^{4} \mathrm{~A} Find the distance between the points (3,5)(-3,-5) and (7,10)(7,10). [x] Round decimals to the nearest tenth. [a] \square units

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Problem 1683

1) Caroline increased the amount of Vitamin C she intakes every day from 60 mg to 75 mg . By what percentage did Caroline increase the amount of Vitamin C she intakes? oportion: ==

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Problem 1684

5x, Find the distance between the points (10,7)(10,7) and (2,2)(2,2), (x) Round docimaln to the noarest tenth. (xa) \square units Submit

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Problem 1685

The following table describes the contents of a bag that contains red, green, blue, pink, and white marbles. \begin{tabular}{|c|c|} \hline Color & Number of Marbles \\ \hline Red & 12 \\ \hline Green & 6 \\ \hline Blue & 10 \\ \hline Pink & 9 \\ \hline White & 30 \\ \hline \end{tabular}
If you select a single marble out of the bag, what is the probability that it is a color other than white or blue? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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Problem 1686

12) The ratio of dogs to cats at the local animal shelter is 5 to 4 . If there are 20 cats in the shelter, how many total animals are in the shelter?
Proportion: - \qquad == \qquad

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Problem 1687

14) A horse ran 2.4 kilometers during a race. If one mile is about 1.6 kilometers, approximately how many miles did the horse run?
Proportion: ==
A plane flew 1,800 miles in 12\frac{1}{2} hour. How many hours would it take to fly 2,400 miles?

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Problem 1688

Ethan claims that 73=4|7-3|=4. Which statement about Ethan's claim is true? Ethan is correct because 7=7|7|=-7 and 3=3|-3|=3 so 7+3=4-7+3=4. Plot -7 on a number line, and move right 3 to get -4 on the line. Ethan is incorrect because 7=7|7|=7 and 3=3|-3|=3 so 7+3=107+3=10. Plot 7 on a number line, and move right 3 to get 10 on the line. Ethan is incorrect because the absolute value bars are grouping symbols so first you must subtract. 73=47-3=4, and 4=4|4|=-4. Ethan is correct because the absolute value bars are grouping symbols so first you must subtract. 73=47-3=4, and 4=4|4|=4.

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Problem 1689

Desmond bought 5 bags of candy. There were 34 pieces of candy in each bag. How many pieces of candy did Desmond buy? \square pieces of candy

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Problem 1690

(b) 12cot2θ4=012 \cot ^{2} \theta-4=0

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Problem 1691

14 2 3 4 5 6 7 8
What is the value of xx in the equation below? 13(12x24)=16\frac{1}{3}(12 x-24)=16 2 6 8 10

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Problem 1692

73÷20=73 \div 20=

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Problem 1693

The height of a window is 0.6 feet less than 2.5 times its width. If the height of the window is 4.9 feet, which equation can be used to determine xx, the width of the window? 2.5x+0.6=4.92.5 x+0.6=4.9 2.5x0.6=4.92.5 x-0.6=4.9 0.6x+2.5=4.90.6 x+2.5=4.9 0.6x2.5=4.90.6 x-2.5=4.9

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Problem 1694

by the equation y=7.5xy=7.5 x. a. Graph the equation and interpret the slope. b. How many minutes does it take for your friend to run one mile?
6. At a concession stand, hamburgers are selling at a rate of 160 hamburgers

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Problem 1695

What is the value of xx in the equation 0.7x1.4=3.50.7 x-1.4=-3.5 ? 7-7 3-3 3 7

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Problem 1696

24×8=24 \times 8 =

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Problem 1697

m4=nm^{-4}=n

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Problem 1698

1 2 3 4 5 9 7 8 9 \$1II
Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles. Which shows the correct equation and value of xx, the distance of 1 lap around the path at the park? 3.6x+1.2=4.8;x=13.6 x+1.2=4.8 ; x=1 mile 48x+1.2=3.6;x=148 x+1.2=3.6 ; x=1 mile 3.6x+1.2=4.8;x=0.53.6 x+1.2=4.8 ; x=0.5 mile 4.8x+1.2=3.6;x=0.54.8 x+1.2=3.6 ; x=0.5 mile

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Problem 1699

Which equations have the same value of xx as 56x+23=9\frac{5}{6} x+\frac{2}{3}=-9 ? Select three options. 6(56x+23)=96\left(\frac{5}{6} x+\frac{2}{3}\right)=-9 6(56x+23)=9(6)6\left(\frac{5}{6} x+\frac{2}{3}\right)=-9(6) 5x+4=545 x+4=-54 5x+4=95 x+4=-9 5x=135 x=-13 5x=585 x=-58

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Problem 1700

5. A lemonade recipe calls for 74\frac{7}{4} tablespoons of powdered lemonade mix for every 12 ounces of water. How many batches can you make with 7 tablespoons of lemonade mix and 48 ounces of water? Explain your reasoning.

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