Model

Problem 2801

At least 68%68 \% of phone numbers in a certain city are unlisted. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage). H0:pH_{0}: p \square H1:pH_{1}: p \square Use the following codes to enter the following symbols:  enter >=  enter <=  ‡ enter != \begin{array}{l} \geq \text { enter >= } \\ \vdots \text { enter <= } \\ \text { ‡ enter != } \end{array}

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Problem 2802

Find a formula for the exponential function shown in the graph. Use the variables xx and f(x)f(x) or xx and yy.
If necessary, round any parameters of the function to four decimal places: Formula: \square

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Problem 2803

20. Write an equation that represents the sine function graphed below. [8.7]

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Problem 2804

Translate the following phrase into an algebraic expression: six times seven yy less than ten.

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Problem 2805

1 Fill in the Blank 5 points
Jenna intends on baking an apple pie and a sweet potato pie for Thanksgiving. She spends $10\$ 10 purchasing apples and sweet potatoes. Suppose apples cost \1.25each,andsweetpotatoescost1.25 each, and sweet potatoes cost \1 1 each. Let aa represent the number of apples she purchases, and ss represent the number of sweet potatoes she purchases. a) Write an equation in standard form that describes the possible number of apples aa and number of sweet potatoes ss Jenna purchases with \10.typeyouranswer...10. type your answer... a+typeyouranswer... type your answer... s=typeyouranswer...b)Writeanequationinslopeinterceptformthatdescribesthepossiblenumberofapples type your answer... b) Write an equation in slope-intercept form that describes the possible number of apples aandnumberofsweetpotatoes and number of sweet potatoes sJennapurchaseswith$10. Jenna purchases with \$10. s= \squaretypeyouranswer... type your answer... a+typeyouranswer... type your answer... \squarec)IfJennaspends$10andpurchasesonly4apples,howmanysweetpotatoesdidshepurchase? c) If Jenna spends \$10 and purchases only 4 apples, how many sweet potatoes did she purchase? s=typeyouranswer...d)Usethecombinationofapplesandsweetpotatoesfrompart(c)towriteanequationinpointslopeformthatdescribesthepossiblenumberofapples type your answer... d) Use the combination of apples and sweet potatoes from part (c) to write an equation in point-slope form that describes the possible number of apples aandnumberofsweetpotatoes and number of sweet potatoes sJennapurchaseswith$10. Jenna purchases with \$10. s-typeyouranswer...=typeyouranswer... type your answer... = type your answer... \square(atypeyouranswer...e)TrueorFalse:Thegraphbelowrepresentstherelationbetweenthepossiblenumberofapples (a- type your answer... e) True or False: The graph below represents the relation between the possible number of apples aandnumberofsweetpotatoes and number of sweet potatoes s$ Jenna purchases with \$10.

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Problem 2806

Using a Pattern to Form an Equation
The table shows a representation of the number of miles a car drives over time. \begin{tabular}{|c|c|} \hline Hours, x\boldsymbol{x} & Miles, y\boldsymbol{y} \\ \hline 3 & 195 \\ \hline 4 & 260 \\ \hline 5 & 325 \\ \hline 6 & 390 \\ \hline \end{tabular}
Pattern: Each xx value is multiplied by 65 to get eachy value.
What is the equation for this situation? \square Which could NOT be a point on this table? \square

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Problem 2807

Follow the link Least Squares Line. This will direct you to a spreadsheet download that may be useful for checking your work for the exercise. Astronomer Edwin Hubble postulated a relationship between the distance between Earth and the velocity at which a galaxy appears to be traveling away from Earth. The following table shows observations of seven galaxies. Distance is measured in megaparsecs ( 1 Mpc is approximately 3,260 light-years), and velocity is measured in kilometers per second. \begin{tabular}{|c|c|} \hline Distance (Mpc) & Velocity (km/s) \\ \hline 51.8 & 4,560 \\ \hline 12.2 & 1,184 \\ \hline 27.1 & 1,736 \\ \hline 46.2 & 3,807 \\ \hline 58.2 & 5,168 \\ \hline 46.2 & 3,807 \\ \hline 29.1 & 1,714 \\ \hline \end{tabular} (a) Find the equation of linear regression line for the data where distance is the independent variable, xx, and velocity is the dependent variable. (Round your numerical answers to two decimal places.) y^=\hat{y}=\square (b) Using the equation from part (a), estimate the velocity (in kilometers per second) at which a galaxy 130 Mpc from Earth is traveling. (Round your answer to the nearest whole number.) \qquad km/s\mathrm{km} / \mathrm{s}

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Problem 2808

Write a system of linear equations represented by the augmented matrix. (Use xx and yy as your variables, each representing the columns in turn. Write the equations for the system in the same order as they appear in the augmented matrix. Do not perform any row operations.) [67432]\left[\begin{array}{rr:r} 6 & 7 & 4 \\ 3 & -2 & \vdots \end{array}\right] \square \square

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Problem 2809

Determine whether the function given by the table is linear, exponential, or neither. If the function is linear, find a linear function that models the data; if it is exponential, find an exponential function that models the data. \begin{tabular}{|rr|} \hlinexx & f(x)f(x) \\ \hline-1 & 18\frac{1}{8} \\ 0 & 1 \\ 1 & 8 \\ 2 & 64 \\ 3 & 512 \\ \hline \end{tabular}
Select the correct choice below and fill in any answer boxes within your choice. A. The function is linear. A linear function that models the data is f(x)=f(x)= \square (Simplify your answer.) B. The function is exponential. An exponential function that models the data is f(x)=f(x)= \square \square. (Simplify your answer.) C. The function is neither linear nor exponential.

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Problem 2810

Setting up the math for a one-step quantitative problem 0/50 / 5 Yatziri
The average adult heart pumps about 84.mL/s84 . \mathrm{mL} / \mathrm{s} of blood at 72 beats per minute. Suppose you need to calculate how long it would take the average heart to circulate 3500.mL3500 . \mathrm{mL} of blood.
Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.  time =\text { time }= \square
μ\mu \square

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Problem 2811

A bottle of ginger ale initially has a temperature of 72F72^{\circ} \mathrm{F}. It is left to cool in a refrigerator that has a temperature of 34F34^{\circ} \mathrm{F}. After 10 minutes the temperature of the ginger ale is 62F62^{\circ} \mathrm{F}. Complete parts a through c. a. Use Newton's Law of Cooling, T=C+(T0C)ekt\mathrm{T}=\mathrm{C}+\left(\mathrm{T}_{0}-\mathrm{C}\right) e^{\mathrm{kt}}, to find a model for the temperature of the ginger ale, T , after t minutes. T=+e\mathrm{T}=\square+\square \mathrm{e}^{\square} (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to four decimal places as needed.)

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Problem 2812

A bottle of ginger ale initially has a temperature of 72F72^{\circ} \mathrm{F}. It is left to cool in a refrigerator that has a temperature of 34F34^{\circ} \mathrm{F}. After 10 minutes the temperature of the ginger ale is 62F62^{\circ} \mathrm{F}. Complete parts a through c. a. Use Newton's Law of Cooling, T=C+(T0C)ekt\mathrm{T}=\mathrm{C}+\left(\mathrm{T}_{0}-\mathrm{C}\right) e^{k t}, to find a model for the temperature of the ginger ale, T , after t minutes. T=34+(38)e0.0305tT=34+(38) e^{-0.0305 t} (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to four decimal places as needed) b. What is the temperature of the ginger ale after 15 minutes? F\square^{\circ} \mathrm{F} (Round to nearest degree as needed.)

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Problem 2813

A bottle of ginger ale initially has a temperature of 72F72^{\circ} \mathrm{F}. It is left to cool in a refrigerator that has a temperature of 34F34^{\circ} \mathrm{F}. After 10 minutes the temperature of the ginger ale is 62F62^{\circ} \mathrm{F}. Complete parts a through c. a. Use Newton's Law of Cooling, T=C+(T0C)ekt\mathrm{T}=\mathrm{C}+\left(\mathrm{T}_{0}-\mathrm{C}\right) e^{\mathrm{kt}}, to find a model for the temperature of the ginger ale, T , after t minutes. T=34+(38)e0.0305tT=34+(38) e^{-0.0305 t} (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to four decimal places as needed.) b. What is the temperature of the ginger ale after 15 minutes? 58F58^{\circ} \mathrm{F} (Round to nearest degree as needed.) c. When will the temperature of the ginger ale be 52F52^{\circ} \mathrm{F} ? \square minute(s) (Round to nearest minute as needed.)

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Problem 2814

A bottle of seltzer water initially has a temperature of 79F79^{\circ} \mathrm{F}. It is left to cool in a refrigerator that has a temperature of 40F40^{\circ} \mathrm{F}. After 10 minutes the temperature of the seltzer water is 66F66^{\circ} \mathrm{F}. Complete parts a through C . a. Use Newton's Law of Cooling, T=C+(T0C)ekt\mathrm{T}=\mathrm{C}+\left(\mathrm{T}_{0}-\mathrm{C}\right) e^{\mathrm{kt}}, to find a model for the temperature of the seltzer water, T , after t minutes. T=40+(39)e0.0405tT=40+(39) e^{-0.0405 t} (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to four decimal places as needed.) b. What is the temperature of the seltzer water after 15 minutes? \square F{ }^{\circ} \mathrm{F} (Round to nearest degree as needed.)

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Problem 2815

A bottle of seltzer water initially has a temperature of 79F79^{\circ} \mathrm{F}. It is left to cool in a refrigerator that has a temperature of 40F40^{\circ} \mathrm{F}. After 10 minutes the temperature of the seltzer water is 66F66^{\circ} \mathrm{F}. Complete parts a through c . a. Use Newton's Law of Cooling, T=C+(T0C)ektT=C+\left(T_{0}-C\right) e^{k t}, to find a model for the temperature of the seltzer water, TT, after tt minutes. T=40+(39)e0.0405tT=40+(39) e^{-0.0405 t} (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to four decimal places as needed) b. What is the temperature of the seltzer water after 15 minutes? 61F61^{\circ} \mathrm{F} (Round to nearest degree as needed.) c. When will the temperature of the seltzer water be 49F49^{\circ} \mathrm{F} ? \square minute(s) (Round to nearest minute as needed.)

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Problem 2816

Part A A hot air balloon is at an altitude of 10015100 \frac{1}{5} yards. The balloon's altitude decreases by 104510 \frac{4}{5} yards every minute.
Which equation can be used to determine the number of minutes, mm, it will take the balloon to reach an altitude of 57 yards? A) 1045+10015m=5710 \frac{4}{5}+100 \frac{1}{5} m=57 B) 104510015m=5710 \frac{4}{5}-100 \frac{1}{5} m=57 C) 10015+1045m=57100 \frac{1}{5}+10 \frac{4}{5} m=57 D) 100151045m=57100 \frac{1}{5}-10 \frac{4}{5} m=57

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Problem 2817

Part A The current temperature is 48F48^{\circ} \mathrm{F}. It is expected to drop 1.5F1.5^{\circ} \mathrm{F} each hour.
Which equation can be used to find ir how many hours, hh, the temperature will be 3636^{\circ} F? A) 36+48h=1.536+48 h=1.5 B) 481.5h=3648-1.5 h=36 C) 48+1.5h=3648+1.5 h=36 D) 361.5h=4836-1.5 h=48

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Problem 2818

Write an equation of the line below. Explanation Check

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Problem 2819

11 Bei dem Reaktorunfall in Tschernobyl am 26. April 1986 wurde u.a. radioaktives Cäsium-137 freigesetzt. Cäsium-137 zerfällt exponentiell mit einer Halbwertszeit von ca. 30 Jahren. Über der damaligen Bundesrepublik Deutschland hatten sich nach Angaben der Gesellschaft für Strahlenund Umweltforschung etwa 230 Gramm radioaktives Cäsium-137 abgelagert, ein Großteil davon in Bayern. a) Beschreiben Sie den Zerfall dieser Menge Cäsium-137 durch eine Funktion f:tbektf: t \mapsto b \cdot e^{k t} ( tt in Jahren und f(t)f(t) in Gramm). b) Geben Sie die Bedeutung des Faktors b im Sachzusammenhang an und berechnen Sie den prozentualen Anteil, um den die Masse des Cäsium-137 jedes Jahr abnimmt. c) Berechnen Sie, nach welcher Zeit weniger als ein Gramm des Cäsium-137 übrig ist. d) Bestimmen Sie die Funktion der Wachstumsgeschwindigkeit für die gegebene Menge Cäsi-um-137. Berechnen Sie die Wachstumsgeschwindigkeit zu Beginn und zum heutigen Zeitpunkt. Beschreiben Sie die Werte im Sachzusammenhang.

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Problem 2820

\begin{problem} The governor of a state has put together a team tasked with determining factors that account for the number of children living in poverty within the state. The team wants to know if the number of children living in poverty in a town is proportional to the population of the town, so they look at the population and number of children in poverty for 10 towns in the state. The data is reported in the table below.
\begin{center} \begin{tabular}{|c|c|} \hline Population & Children in Poverty \\ \hline 41,788 & 992 \\ 8,767 & 41 \\ 59,376 & 702 \\ 2,920 & 17 \\ 2,862 & 31 \\ 16,344 & 114 \\ 9,099 & 170 \\ 92,513 & 1,239 \\ 10,354 & 105 \\ 31,705 & 625 \\ \hline \end{tabular} \end{center}
\begin{enumerate} \item[(a)] What is the equation of the line of best fit? \item[(b)] What is "rr" and determine if it is a strong, moderate, or weak correlation. \end{enumerate} \end{problem}

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Problem 2821

Four thousand dollars is deposited into a savings account at 4.5%4.5 \% interest compounded continuously. (a) What is the formula for A(t)A(t), the balance after tt years? (b) What differential equation is satisfied by A(t)A(t), the balance after tt years? (c) How much money will be in the account after 9 years? (d) When will the balance reach $8000\$ 8000 ? (e) How fast is the balance growing when it reaches $8000\$ 8000 ? (c) $5997.21\$ 5997.21 (Round to the nearest cent as needed.) (d) After \square years the balance will reach $8000\$ 8000. (Round to one decimal place as needed.)

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Problem 2822

Find an equation of the line described. Leave the solution in the form Ax+By=CA x+B y=C. The line has intercepts a=7a=7 and b=7b=-7.
Need Help? Read It

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Problem 2823

-- webassign.net/web/Student/Assignment-Responses/submit?pos=48dep=360168108tags=au Consider the following lines. Line 1: 3x4y=123 x-4 y=12 Line 2: a line perpendicular to 3x4y=123 x-4 y=12 that contains the point (3,4)(3,-4)

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Problem 2824

12) through: (1,3)(1,3), perp. to y=x+5y=x+5

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Problem 2825

1) through: (1,3)(1,3), parallel to y=x4y=x-4

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Problem 2826

Write down the perimeter as an expression

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Problem 2827

Firstborn \begin{tabular}{lllll} \hline 99 & 116 & 103 & 123 & 110 \\ 104 & 94 & 92 & 82 & 85 \\ \hline \end{tabular} \begin{tabular}{lllll} \hline \multicolumn{4}{c}{ Secondborn } \\ \hline 103 & 96 & 120 & 120 & 123 \\ 99 & 110 & 99 & 101 & 108 \\ \hline \end{tabular} Send data to Excel
Part: 0/20 / 2
Part 1 of 2
Construct a 99.8\% confidence interval for the difference in mean IQ between firstborn and secondborn sons. Let μ1\mu_{1} denote the mean IQ of the firstborn sons. Use tables to find the critical value and round the answers to at least one decimal place.
A 99.8\% confidence interval for the difference in mean IQ between firstborn and secondborn sons is \square

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Problem 2828

Graph y=53x9y=\frac{5}{3} x-9

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Problem 2829

27) Find the function of g(x)g(x) by using function f(x)f(x). A) g(x)=f(x3)+2g(x)=-f(x-3)+2 B) g(x)=f(x+3)+6g(x)=-f(x+3)+6 C) g(x)=f(3x)+2g(x)=-f(3-x)+2 D) g(x)=f(x3)+6g(x)=-f(x-3)+6

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Problem 2830

3. A certain mass hangs from a spring above a table. It is released from a height of 0.9 metres above the table and falls to a height of 0.1 m above the table before reversing direction and bouncing back to 0.9 m . The mass continues to move in a periodic up and down motion. It takes 1.2 seconds for the mass to return to the same position each time. b) Write an equation which expresses the height hh as a function of sinθ\sin \theta.

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Problem 2831

Arianna is working two summer jobs, washing cars and tutoring. She must work nc less than 10 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours washing cars, ww, and the number of hours tutoring, tt, that Arianna can work in a given week.

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Problem 2832

Find the equation (in terms of xx ) of the line through the points (3,5)(-3,5) and (4,1)(4,-1). y=y=\square Question Help: Video 1 Video 2 Message instructor Submit Question

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Problem 2833

42. The device shown below is the Atwood's machine considered in Example 6.5. Assuming that the masses of the string and the frictionless pulley are negligible, (a) find an equation for the acceleration of the two blocks; (b) find an equation for the tension in the string; and (c) find both the acceleration and tension when block 1 has mass 2.00 kg and block 2 has mass 4.00 kg .

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Problem 2834

覑 W Write a quadratic function with zeros 6 and 7. "新] Write your answer using the variable x and in standard form with a leading coefficient of 1 . f(x)=f(x)= \square 2 3 4

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Problem 2835

[效, Write a quadratic function with zeros 7 and -4. [i]. Write your answer using the variable x and in standard form with a leading coefficient of 1. g(x)=g(x)= \square 2 3 4

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Problem 2836

Premise 1: All great basketball players must wear expensive shoes. Premise 2: Shaquille O'Neal is a great basketball player. Conclusion: He must wear expensive shoes. Let A be the set of basketball players, and let B be the set of people who wear expensive shoes. (a) Draw the Venn diagram that can be used to demonstrate the above information. Include labels for both circles and mark the location of the X. Then choose which option matches your answer? (A) (B) (C) (D) (E) (b) Is this argument valid or invalid? Explain on your work paper how you made this conclusion. Select an answer \checkmark Next Question

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Problem 2837

Number Problems Find two numbers whose difference is 10 and whose product is a minimum.

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Problem 2838

The English Channel is the waterway between England and France. It is about 21 kilometers across, and many people have successfully swam across it. In the United States, many pools at gyms are 25 yards long, and 1 lap equals the pool length.
Assuming a person swims in a straight line, how can you calculate the number of complete laps a person must swim in a 25 -yard pool to equal swimrxing across the English Channel?

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Problem 2839

Premise 1: All great basketball players must wear expensive shoes. Premise 2: Shaquille O'Neal is a great basketball player. Conclusion: He must wear expensive shoes. Let AA be the set of basketball players, and let B be the set of people who wear expensive shoes. (a) Draw the Venn diagram that can be used to demonstrate the above information. Include labels for both circles and mark the location of the X. Then choose which option matches your answer? \square (A) (B) (C) (D) (E) (b) Is this argument valid or invalid? Explain on your work paper how you made this conclusion.
Valid Next Question

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Problem 2840

The ratio of shells to driftwood Gus found is shown on the ratio table. Complete the ratio table to make an equivalent ratio. \begin{tabular}{|l|l|l|} \hline Shells & 9 & 36 \\ \hline Driftwood & 3 & \square \\ \hline \end{tabular}

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Problem 2841

A one-to-one function is given. Write an equation for the inverse function. s(x)=2x+3s1(x)=\begin{array}{r} s(x)=\frac{2}{x+3} \\ s^{-1}(x)= \end{array} \square

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Problem 2842

Let pp and qq be the following statements. pp : The bake sale is on Saturday. qq : Ahmad will make cookies. Consider this argument. Premise 1: If the bake sale is on Saturday, then Ahmad will make cookies. Premise 2: The bake sale is on Saturday. Conclusion: Therefore, Ahmad will make cookies. (a) Write the argument in symbolic form.
Premise 1: p qq Premise 2: Conclusion: \square

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Problem 2843

Graph the line. y1=32(x+5)y-1=-\frac{3}{2}(x+5)

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Problem 2844

Part 1 of 9 (a) Graph f(x)=x+3f(x)=\sqrt{x+3}.

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Problem 2845

The following table gives the U.S. national debt for selected years from 1900 to 2013. \begin{tabular}{cccc} \hline Year & \begin{tabular}{c} U.S. Debt \\ (\ billions) \end{tabular} & Year & \begin{tabular}{c} U.S. Debt \\ (\$ billions) \end{tabular} \\ \hline 1900 & 1 & 1990 & 3233 \\ 1910 & 1 & 1996 & 5225 \\ 1920 & 24 & 2000 & 5674 \\ 1930 & 16 & 2005 & 7933 \\ 1940 & 43 & 2009 & 11,957 \\ 1945 & 259 & 2010 & 13,529 \\ 1955 & 273 & 2011 & 15,476 \\ 1965 & 314 & 2012 & 16,067 \\ 1975 & 533 & 2013 & 16,856 \\ 1985 & 1823 & & \\ \hline \end{tabular} (a) Using a function of the form y=a^{*} b^{\wedge} x,with, with x=0in1900and in 1900 and yequaltothenationaldebtinbillions,modelthedata.(Roundyourcoefficientstofourdecimalplaces.) equal to the national debt in billions, model the data. (Round your coefficients to four decimal places.) y=0.91.07xy=0.9 \cdot 1.07^{x}(b)Usethemodeltopredictthedebtin2024.(Roundyouranswertothenearestbillion.) (b) Use the model to predict the debt in 2024. (Round your answer to the nearest billion.) $27.431\$ 27.431 \squarebillion(c)Predicttheyearinwhichthedebtwillbe billion (c) Predict the year in which the debt will be \99 99 trillion ( $99,000\$ 99,000 billion). \square Need Help? Read It

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Problem 2846

y=(4+x)1/2,a=0y=(4+x)^{-1 / 2}, \quad a=0
Find the Linearization at x=ax=a. L(x)=L(x)=

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Problem 2847

Homework 6: Problem 4 (1 point)
Find the linearization L(x)L(x) of the function g(x)=xf(x2)g(x)=x f\left(x^{2}\right) at x=2x=2 given the following information. f(2)=0f(2)=6f(4)=3f(4)=4f(2)=0 \quad f^{\prime}(2)=6 \quad f(4)=3 \quad f^{\prime}(4)=-4
Answer: L(x)=L(x)= \square

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Problem 2848

The table shows the total personal income in the United States (in billions of dollars) for selected years from 1960 and projected to 2024. \begin{tabular}{cc|cc} \hline Year & Income (\ billions) & Year & Income (\$ billions) \\ \hline 1960 & 411.5 & 2008 & 12,100.7 \\ 1970 & 838.8 & 2014 & 14,728.6 \\ 1980 & 2307.9 & 2018 & 19,129.6 \\ 1990 & 4878.6 & 2024 & 22,685.1 \\ 2000 & 8429.7 & & \\ \hline \end{tabular} (a) These data can be modeled by an exponential function. Write the equation of this function, with xasthenumberofyearspast1960and as the number of years past 1960 and yasthetotal as the total y=533.5701.065x Way to gol y=533.570 \cdot 1.065^{x} \quad \text { Way to gol }$ (b) Does the unrounded model overestimate or underestimate the total personal income given in the table for 2018? The model overestimates the projected total. The model underestimates the projected total.
Perfect (c) Graphically determine the year the model predicts total personal income will reach $31\$ 31 trillion. \square Enter a number: Need Help? Read II Watch it

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Problem 2849

Sketch the graph of the linear inequality y34x+5y \leq -\frac{3}{4}x + 5.

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Problem 2850

8) y34x+5y \leq \frac{3}{4} x+5

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Problem 2851

JIUW EXdImpIE
Write the equation of the line in fully simplified slope-intercept form
Answer Attempt 1 out of 2 Submit Answer

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Problem 2852

3) What is the linear equation of a line with slope 23\frac{2}{3} and passes through the point (6,5)(-6,5) ?

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Problem 2853

The marginal cost (in dollars per square foot) of installing xx square feet of kitchen countertop is given by C(x)=x67C^{\prime}(x)=x^{\frac{6}{7}}. a) Find the cost of installing 60ft260 \mathrm{ft}^{2} of countertop. b) Find the cost of installing an extra 13ft213 \mathrm{ft}^{2} of countertop after 60ft260 \mathrm{ft}^{2} have already been installed. a) Set up the integral for the cost of installing 60ft260 \mathrm{ft}^{2} of countertop. C(60)=0dxC(60)=\int_{0}^{\square} \square \mathrm{dx}

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Problem 2854

Suppose that O{ }^{O} partners equally share the profits from a sale of $3,600\$ 3,600. Which algebraic expression represents this situation? 3600+03600+0 3600p3600-p 3600p 3600p\frac{3600}{p}

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Problem 2855

1\checkmark 1 2 3 5\checkmark 5 6\checkmark 6 ×7\times 7 \checkmark 11 12 13
Write a system of linear equations represented by the augmented matrix. Give your answer in standard form using the variables xx and yy. The equations in the system should be in the same order as the rows in the given augmented matrix. [576465]\left[\begin{array}{cc:c} -5 & 7 & -6 \\ -4 & 6 & 5 \end{array}\right]
System of Equations: =\square=\square

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Problem 2856

During the summer, Isabelle sells corn at her family's produce stand. Every morning, she starts with 250 ears of corn. On Saturday, Isabelle sells 150 of the 250 ears of corn. She wants to know what percent of the corn she sold.
Complete the table to show an equivalent ratio where the number of ears at the start is 100 . \begin{tabular}{|c|c|c|} \hline Corn Sold & 150 & \\ \hline Corn at Start & 250 & 100 \\ \hline \end{tabular}

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Problem 2857

Find CC and DD so that the solution set to the system is {(2,2)}\{(2,2)\}. Cx+5y=85x+Dy=18\begin{array}{c} C x+5 y=8 \\ -5 x+D y=-18 \end{array}
Part 1 of 2 C=C= \square
Part 2 of 2 D=D= \square

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Problem 2858

Español
Monique and Tara each make an Ice-cream sundae. Monique gets 2 scoops of Cherry Ice-cream and 1 scoop of Mint Chocolate Chunk Ice-cream for a total of 84 g of fat. Tara has 1 scoop of Cherry and 2 scoops of Mint Chocolate Chunk for a total of 90 g of fat. How many grams of fat does 1 scoop of each type of ice cream have?
Part 1 of 2
Cherry has \square g of fat.
Part 2 of 2
Mint Chocolate Chunk has \square g of fat.

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Problem 2859

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number"? 6+2(x+4)=12(x3)6+2(x+4)=12(3x)(6+2)(x+4)=12(3x)\begin{array}{l} 6+2(x+4)=\frac{1}{2}(x-3) \\ 6+2(x+4)=\frac{1}{2}(3-x) \\ (6+2)(x+4)=\frac{1}{2}(3-x) \end{array}

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Problem 2860

8 Gegeben ist die Funktion ff mit f(x)=e2xf(x)=e^{2 x} a) Skizzieren Sie den Graphen von f.

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Problem 2861

An ice cube is freezing in such a way that the side length ss, in inches, is s(t)=12t+4s(t)=\frac{1}{2} t+4, where tt is in hours. The surface area of the ice cube is the function A(s)=6s2A(s)=6 s^{2}. Part A: Write an equation that gives the volume at tt hours after freezing begins. ( 2 points) Part B: Find the surface area as a function of time, using composition, and determine its range. (4 points) Part C: After how many hours will the surface area equal 294 square inches? Show all necessary calculations, and check for extraneous solutions. (4 points)

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Problem 2862

[晾. Write the equation of this line in slope-intercept form. [3]. Write your answer using integers, proper fractions, and improper fractions in simplest form. \square

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Problem 2863

We wish to estimate what percent of adult residents in a certain county are parents. Out of 600 adult residents sampled, 468 had kids. Based on this, construct a 90%90 \% confidence interval for the proportion p of adult residents who are parents in this county:
Express your answer in tri-inequality form. Give your answers as decimals, to three places. \square <p<<\mathrm{p}< \square Express the same answer using the point estimate and margin of error. Give your answers as decimals, to three places. p=p= \square ±\pm \square

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Problem 2864

Name: \qquad Date \qquad Transversal Town Directions: Cut out the places and road names below. Using the ten clues, arrange the pleces an a map of the city so that they meet all requirements. Glue or tape your find answers.
Ches: D Angle Parkway and Congruent Street are parallel to each other. 12) Geometry Road is a transversal. 3) The schod and the library are vertical angles. 4) The library and the police station are alternate interior angles. 5) The pizza restaurant and the courthouse are vertical angles. 6) The police station and the courthouse are supplementary angles. 1.7) The courthouse and the library are same side interior angles. 8) The pizza restaurant and the fire station are alternate exterior angles. q) The store and the fire station are congruent to one another. 10) The hospital and the library are corresponding angles. cut out the pieces below: that your town meets the crimentio or euntima. Transversal Town \square

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Problem 2865

Customers Frequency of 0 1 2 2 4 5 6 7 8 9 10 Occurrence 1 3 2 O 7 8 10 g 5 5 1 (a) Find the probability distribution of the random variable X, where X denotes the number of customers observed waiting in line. (Round your answers to three decimal places.) Customers P(X = x) 0 1 2 3 4 567 68 10

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Problem 2866

Penny had $117\$ 117, which is 9 times as much money as Kari had. How much money did Kari have?
Select the correct solution method below, where xx represents Kari's money. A. 9x=1179 x=117. Divide both sides by 9 . Kari had $13\$ 13. B. x9=117x-9=117. Add 9 to both sides. Kari had $126\$ 126. C. x+9=117x+9=117. Subtract 9 from both sides. Kari had $108\$ 108. D. x9=117\frac{x}{9}=117. Multiply both sides by 9. Kari had $1053\$ 1053.

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Problem 2867

(9.) Function qq has domain {3,2.5,2,1.5,1,0.5}\{-3,-2.5,-2,-1.5,-1,-0.5\} and is defined by q(x)=3xq(x)=\frac{3}{x}. a. Complete the table. \begin{tabular}{c|c|c|c|c|c|c|} x\boldsymbol{x} & -3 & -2.5 & -2 & -1.5 & -1 & -0.5 \\ \hline q(x)\boldsymbol{q}(\boldsymbol{x}) & & & & & & \end{tabular} b. Graph q.

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Problem 2868

homework4.8: Problem 6 (1 point)
Find parametric equations for the tangent line at t=3t=3 for the motion of a particle given by x(t)=8t2+7,y(t)=1t3x(t)=8 t^{2}+7, y(t)=1 t^{3}. For the line, x(t)=y(t)=\begin{array}{l} x(t)=\square \\ y(t)=\square \end{array} (Note that because the correctness of a parametrically described line depends on both x(t)x(t) and y(t)y(t), both of your answers may be marked incorrect if there is an error in one of them.)
Note: You can earn partial credit on this problem.

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Problem 2869

Paul is looking at two vacation packages while planning a trip to Cancun, Mexico. In the first vacation package, round-trip airfare costs $602\$ 602, and it costs $196\$ 196 per night to stay at the resort. In the second vacation package, it costs $523\$ 523 per night to stay in the resort and \233forroundtripairfare.Let233 for round-trip airfare. Let xrepresentthenumberofnightsspentattheresort,andlet represent the number of nights spent at the resort, and let y$ represent the total cost of the trip. Which system of equations could be used to find how many nights Paul needs to stay at either resort so that both vacation packages have the same cost?

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Problem 2870

Question 6 (2 points) A hypertensive patient has a blood pressure of 140/100. The heart rate is 80 beats per minute. For this scenario, find a sine function of the form, P(t)=asin(bt)+dP(t)=a \sin (b t)+d where PP is the pressure in mm Hg and t is time in seconds. Note that there is no phase shift.
Enter the values of a, b, d as integers or decimals to the nearest tenth. You will need your calculator! a=a= \square A b=b= \square A d=d= \square A

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Problem 2871

Problem\#1. Find the yy-intercept ( 0 , \qquad ) for a line with a slope of m=2m=-2 that goes through (1,3)(-1,3). Write the equation for the line. y=y= \qquad Use spaghetti or a ruler to help you figure out the yy-intercept. Draw the line.

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Problem 2872

Listed below are the numbers of cricket chirps in 1 minute and the corresponding temperatures in F{ }^{\circ} \mathrm{F}. Find the regression equation, letting chirps in 1 minute be the independent ( xx ) variable. Find the best predicted temperature at a time when a cricket chirps 3000 times in 1 minute, using the regression equation. What is wrong with this predicted temperature? Use a significance level of 0.05 . \begin{tabular}{l|cccccccc} Chirps in 1 min & 973 & 752 & 1048 & 973 & 848 & 1071 & 846 & 1128 \\ \hline Temperature ( F{ }^{\circ} \mathrm{F} ) & 77.1 & 66 & 86.6 & 83.5 & 73.5 & 85.8 & 76.5 & 83.9 \end{tabular}
The regression equation is y^=\hat{y}= \square ++ \square xx. (Round the yy-intercept to one decimal place as needed. Round the slope to four decimal places as needed.)

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Problem 2873

Question 24 The fox population in a certain region has an annual growth rate of 9 percent per year. It is estimated that the population in the year 2020 was 11000. (a) Find a function that models the population tt years after 2020 ( t=0t=0 for 2020).
Your answer is P(t)=P(t)= \square (b) Use the function from part (a) to estimate the fox population in the year 2028.
Your answer is (the answer should be an integer) \square Submit Question

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Problem 2874

Previous 17 Next Post Test: Trigonometric Functions Submit Test Reader Tools Info 17
Select the correct answer.
Jackson is conducting an experiment for his Physics class. He attaches a weight to the bottom of a metal spring. He then pulls the weight down so that it is a distance of 6 inches from its equilibrium position. Jackson then releases the weight and finds that it takes 4 seconds for the spring to complete one oscillation. Which function best models the position of the weight? A. s(t)=6sin(π2t)s(t)=6 \sin \left(\frac{\pi}{2} t\right) B. s(t)=6cos(2πt)s(t)=-6 \cos (2 \pi t) C. s(t)=6cos(π2t)s(t)=-6 \cos \left(\frac{\pi}{2} t\right) D. s(t)=6sin(2πt)s(t)=6 \sin (2 \pi t) Reset Next

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Problem 2875

ror his team. The table below shows the relationship bet the number of jerseys ordered and the total cost of the jerseys. Football Jerseys \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Number \\ of Jerseys \end{tabular} & \begin{tabular}{c} Total Cost \\ ($)\mathbf{( \$ )} \end{tabular} \\ \hline 10 & 75 \\ \hline 20 & 150 \\ \hline 30 & 225 \\ \hline 40 & 300 \\ \hline \end{tabular}
Based on the information shown in the table, what is the total cost of ordering 52 jerseys?
Answer: \ \square$ 1 2 3 4 5 6 7

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Problem 2876

Exemple a) Donnez une paramétrisation du cône z=x2+y2z=\sqrt{x^{2}+y^{2}}

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Problem 2877

In 2015, 88%88 \% of U.S. residents used the internet, up from 14%14 \% in 1995. The table shows the percent who use the internet for selected years from 2000 and projected to 2025. \begin{tabular}{cc|cc} \hline Year & Percent & Year & Percent \\ \hline 2000 & 67 & 2015 & 88 \\ 2005 & 79 & 2020 & 95 \\ 2010 & 82 & 2025 & 98 \\ \hline \end{tabular} (a) Find the logarithmic function that models the percent pp as a function of xx, the number of years after 1990. Report the model with 4 significant digit coefficients. y=y=\square (b) Visually determine whether this model is a good fit for the data. Yes, this model is a reasonably good fit for the data. No, this model is not a good fit for the data at all. (c) Use the model to predict the percentage of internet users in the United States in 2025. (Round your answer to one decimal place.) \square %\% Need Help? Read It

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Problem 2878

Consider the sequence defined recursively by a1=1,a2=1,an+1=10an1+7ana_{1}=-1, a_{2}=1, a_{n+1}=-10 a_{n-1}+7 a_{n}. We can use matrix diagonalization to find an explicit formula for ana_{n}. a. Find a matrix that satisfies [anan+1]=M[an1an]\left[\begin{array}{c}a_{n} \\ a_{n+1}\end{array}\right]=M\left[\begin{array}{c}a_{n-1} \\ a_{n}\end{array}\right] b. Find the appropriate exponent kk such that [anan+1]=Mk[a1a2]k= 媌 \begin{array}{l} {\left[\begin{array}{c} a_{n} \\ a_{n+1} \end{array}\right]=M^{k}\left[\begin{array}{l} a_{1} \\ a_{2} \end{array}\right]} \\ k=\square \text { 媌 } \end{array} c. Find a diagonal matrix DD and an invertible matrix PP such that M=PDP1M=P D P^{-1}. d. Find P1P^{-1}. e. Find M5=PD5P1M^{5}=P D^{5} P^{-1}. f. Use parts b. and e. to find a6a_{6}. a6=a_{6}= \square g. Develop an explicit formula for ana_{n} using part b. and a formula for Mk=PDkP1M^{k}=P D^{k} P^{-1}.

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Problem 2879

discase and Colitis. The drug is clelivered via a 3 -hour intusion - meaning it is pumpod luto thes patient's veins at a constant rate for a long period of time. The concentration int the bloodstremil then decays exponentially. (a) During the injection, 83 milligrams of the drug are injected each hour at a constant vato. The procedure lasts for 3 hours. Write an equation (with a constraint) for tho gmount (mis) of Infleximab in the bloodstream, I(h),hI(h), h hours after the boginning of the proceduro.

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Problem 2880

able to write the rule (equation) for the relationship between xx \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 3 & 13 \\ \hline 4 & 17 \\ \hline 5 & 21 \\ \hline \end{tabular}

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Problem 2881

A construction company sells screened topsoil by the "yard," which is actually a cubic yard. Let the variable x be the length (yd) of each side of a cube of screened topsoil. The following table lists the values of x along with the corresponding cost (dollars). Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models.\text{A construction company sells screened topsoil by the "yard," which is actually a cubic yard. Let the variable } x \text{ be the length (yd) of each side of a cube of screened topsoil. The following table lists the values of } x \text{ along with the corresponding cost (dollars). Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models.}
x12345678Cost3124883719843875669610,63315,872\begin{array}{c|cccccccc} \mathbf{x} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline \text{Cost} & 31 & 248 & 837 & 1984 & 3875 & 6696 & 10,633 & 15,872 \end{array}
\text{Construct the scatterplot. Choose the correct graph below.} \begin{itemize} \item A. \item B. \item C. \item D. \end{itemize}
\text{What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values.}
\begin{itemize} \item A. \text{The quadratic model } y=x2+(x+())y = \square \, x^2 + (\square \, x + (\square)) \item B. \text{The linear model } y=+xy = \square + \square \, x \item C. \text{The power model } y=xy = \square \, x^{\square} \item D. \text{The logarithmic model } y=+()lnxy = \square + (\square) \ln x \item E. \text{The exponential model } y=()exy = (\square) \, e^{\square \, x} \end{itemize}
\text{Clear all}
\text{Final check}
\text{Get more help}

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Problem 2882

Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified li y=sin(x),y=0,0xπ;y=\sin (x), \quad y=0, \quad 0 \leq x \leq \pi ; \quad about y=4y=-4 \square dx\int d x Need Help? Read It

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Problem 2883

(2) Convert each measure. a. 3 days == \qquad hr.

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Problem 2884

Suppose an aluminum-27 nuclide transforms into a sodium-24 nuclide by absorbing a neutron and emitting an alpha particle. Complete the nuclear chemical equation below so that it describes this nuclear reaction. 1327Al+01n{ }_{13}^{27} \mathrm{Al}+{ }_{0}^{1} \mathrm{n} \rightarrow \square

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Problem 2885

3. Kolbie has 3 booklets of tickets for the camival. Each booklet had 20 tickets. She plans to share 12 tickets with each of her two cousins. Which strip diagram shows tt, the number of tickets Kolbie will have left over?

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Problem 2886

A sample of bacteria taken from a river has an initial concentration of 2.4 million bacteria per milliliter and its concentration triples each week. (a) Find an exponential model that calculates the concentration (in millions) after x weeks. (b) Estimate the concentration (in millions) after 1.7 weeks. (a) B(x)=B(x)= \square (Type an equation using xx as the variable.)

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Problem 2887

A sample of bacteria taken from a river has an initial concentration of 3 million bacteria per milliliter and its concentration doubles each week. (a) Find an exponential model that calculates the concentration (in millions) after x weeks. (b) Estimate the concentration (in millions) after 1.7 weeks. (a) B(x)=B(x)= \square (Type an equation using xx as the variable.)

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Problem 2888

The terminal side of angle AA in standard position goes through the point P(5,2)P(-5,-2). Draw the ref triangle in the cartesian plane that is made by the point, by first plotting the point and then clickin all of the vertices of the triangle. If a trigonomic value is undefined then answer INF.
Clear All Draw: Polygon
Find the following: (round to 3 decimal places) sinA=cosA=tanA=A=\begin{array}{l} \sin A=\square \\ \cos A=\square \\ \tan A=\square \\ A=\square \end{array}
The reference angle = \square

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Problem 2889

Name: \qquad Practice \& Problem Solving In 11-14, write an algebraic expression for each situation.
11. 12 times a number gg

129
13. 22 divided by a number ss 22÷522 \div 5

In 15-18, tell how many terms each expression has.
15. 5g25-g 2
17. v3+25}\left.\frac{v}{3}+2 \cdot 5\right\}

In 19 and 20 , use the expression 5.3t(20÷4)+115.3 t-(20 \div 4)+11.
19. Which part of the expression is a quotient? Describe its parts.
16. 3+12b33+\frac{1}{2} b 3
18. 16.2(34)+(14÷2)16.2-(3 \cdot 4)+(14 \div 2) 0 A quotient is 20÷420 \div 4 its parts are to tivide 20÷420 \div 4. Scan for Multimedia
12. pp pennies added to 22 pennies 22+p22+p
14. 123412 \frac{3}{4} less than the product of 7 and a number 7x12347 \cdot x-12 \frac{3}{4} practice (1)

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Problem 2890

Graphs, Functions, and Sequences Brooklynn Writing and evaluating a function that models a real-world situation:... Español
A construction crew is lengthening a road. The road started with a length of 57 miles, and the crew is adding 2 miles to the road each day. Let LL represent the total length of the road (in miles), and let DD represent the number of days the crew has worked. Write an equation relating LL to DD. Then use this equation to find the total length of the road after the crew has worked 38 days.
Equation: \square
Total length of the road after 38 days: \square miles

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Problem 2891

Determine the exponential function that satisfies the given conditions. Initial value =15=15, decreasing at the rate of 40%40 \% per year P(t)=P(t)= \square , where t represents time. (Type an expression using tt as the variable. Use integers or decimals for any numbers in the expression.)

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Problem 2892

urrent Attempt in Progress
On June 1, Forrest Inc. issues 3,000 shares of no-par common stock at a cash price of \$7 per share. Journalize the issuance of the shares. (Credit account titles are automatically indented when amount is entered. Do not indent manually. List debit entry before credit entry. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.)
Date Account Titles and Explanation Debit Cred June \square \square \square 1 \square \square eTextbook and Media
List of Accounts
Save for Later

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Problem 2893

Question 6 (2 points) The deer population in a conservation area varies cyclically between 600 (minimum) and 1200 (maximum) animals. The population cycle is over 5 years. For this scenario, find a sine function of the form, P(t)=asin(bt)+dP(t)=a \sin (b t)+d where PP is the deer population and tt is time in years, from t=0t=0 as 2010. Note that there is no phase shift.
Enter the values of a,b,da, b, d as integers or decimals to the nearest tenth. You will need your calculator! b=a=\square_{b=\square}^{a=} A

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Problem 2894

Learn with an example \sim or Watch a video questions andused
Write the equation of this line in slope-intercept form. Time olapacd \infty \infty 31 Hal HIN Smantsearc Hect 120 0
Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Problem 2895

urrent Attempt in Progress During its first year of operations, Mona Corporation had these transactions pertaining to its common stock.
Jan. 10 Issued 30,000 shares for cash at $5\$ 5 per share. July 1 Issued 60,000 shares for cash at $7\$ 7 per share. (a) Journalize the transactions, assuming that the common stock has a par value of $5\$ 5 per share. (b) Journalize the transactions, assuming that the common stock is no-par with a stated value of $1\$ 1 per share.

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Problem 2896

Jatonia sold nn cups of femonade at her stand for $0.75\$ 0.75 each. She made a total of $18.00\$ 18.00. Write an equation to express how many cups of lemonade she sold.

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Problem 2897

A hand of six integer cards has one matching set of two or more cards. If the matching set of cards is removed from the hand, the score of the hand will increase by six. What are the possible values of these matching cards? Explain. Write an equation using multiplication showing how the matching cards yield an increase in score of six.

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Problem 2898

The table below shows the energy of a 10 kg ball as a function of velocity. How much energy will the ball have at 10 m/s10 \mathrm{~m} / \mathrm{s} ? (Type the number, do not include units in your answer)
Use a matrix to run a quadratic regression \begin{tabular}{|c|c|} \hline Velocity (m/s) & Energy (Joules) \\ \hline 0 & 0 \\ \hline 2 & 12 \\ \hline 3 & 27 \\ \hline 6 & 108 \\ \hline 10 & ?? \\ \hline \end{tabular}

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Problem 2899

mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=687273520\&questionld=312flushed=false\&cld=79288398.back=DoAssignments.aspx?view=homework - College Algebra 1314.A10, A11 \& A12 ework: REVIEW FOR FINAL (part 1) - counts as two grades (new links) Question 36, 2.5.51 Part 1 of 2
Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through ( 3,4-3,4 ) and parallel to x+4y=7x+4 y=7. a) The equation of the line in slope-intercept form is x+1-x+1. (Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)

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Problem 2900

Graph the linear equation. y=5x+4y=5 x+4
Use the graphing tool to graph the line.
Click to enlarge graph

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