Equation

Problem 2601

Use the equation to answer the question. CH4+2O2CO2+H2O\mathrm{CH}_{4}+2 \mathrm{O}_{2} \rightarrow \mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}
Which statement describes why this chemical equation is not correct? (1 point) There are more carbons and oxygens on the left side than the right side. There are more oxygens on the left side than the right side. There are more carbons on the left side than the right side. There are more hydrogen and oxygen atoms on the left side than the right side.

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Problem 2602

Solve the following proportion for yy. 1311=y10\frac{13}{11}=\frac{y}{10}
Round your answer to the nearest tenth. y=y=

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Problem 2603

Solve the following proportion for yy. 87=5y\frac{8}{7}=\frac{5}{y}
Round your answer to the nearest tenth.

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Problem 2604

22x4=4x+123\frac{2-2 x}{4}=\frac{4 x+12}{3}

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Problem 2605

Mb Apbs (1015) YouTube bal 00 m/math/00 \mathrm{~m} / \mathrm{math} / geometry/proving-triangles-congruent-by-sss-sas-asa-and-aas Complete the proof that PRTPSQ\triangle P R T \cong \triangle P S Q. \begin{tabular}{|l|l|l|} \hline & Statement & Reason \\ \hline 1 & SPTQPR\angle S P T \cong \angle Q P R & Given \\ \hline 2 & PSPR\overline{P S} \cong \overline{P R} & Given \\ \hline 3 & PSQPRT\angle P S Q \cong \angle P R T & Given \\ \hline 4 & mRPT=mRPS+mSPTm \angle R P T=m \angle R P S+m \angle S P T & \\ \hline 5 & mQPS=mQPR+mRPSm \angle Q P S=m \angle Q P R+m \angle R P S & Additive Property of Angle Measure \\ \hline 6 & mRPT=mRPS+mQPRm \angle R P T=m \angle R P S+m \angle Q P R & Substitution \\ \hline 7 & mQPS=mRPTm \angle Q P S=m \angle R P T & \\ \hline 8 & PRTPSQ\triangle P R T \cong \triangle P S Q & \\ \hline \end{tabular} Sign out Nev 15

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Problem 2606

9. Determine the number of solutions for the trigonometric equation cos(θ)(cos(θ)1)=0,2π<θ<3π\cos (\theta) \cdot(\cos (\theta)-1)=0, \quad-2 \pi<\theta<3 \pi \leftarrow look al domain

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Problem 2607

Find the regression equation, letting the first variable be the predictor ( xx ) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 30 years. Is the result within 5 years of the actual Best Actor winner, whose age was 39 years? Use a significance level of 0.05 . \begin{tabular}{cllllllllllll} \hline Best Actress & 28 & 30 & 30 & 63 & 30 & 34 & 43 & 30 & 64 & 23 & 42 & 53 \\ Best Actor & 44 & 39 & 37 & 47 & 52 & 48 & 58 & 49 & 37 & 58 & 43 & 31 \\ \hline \end{tabular}
Find the equation of the regression line. y^=+()x\hat{\mathrm{y}}=\square+(\square) \mathrm{x} (Round the yy-intercept to one decimal place as needed. Round the slope fo three decimal places as needed.)

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Problem 2608

Three fire hoses are connected to a fire hydrant. Each hose has a radius of 0.019 m . Water enters the hydrant through an underground pipe of radius 0.081 m . In this pipe the water has a speed of 3.5 m/s3.5 \mathrm{~m} / \mathrm{s}. (a) How many kilograms of water are poured onto a fire in one hour by all three hoses? (b) Find the water speed in each hose.

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Problem 2609

What is the yy-intercept of the line: 4x5y=404 x-5 y=-40 (0,10)(0,-10) (0,5)(0,-5) (0,8)(0,8) (0,4/5)(0,-4 / 5)

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Problem 2610

Calculate the slope of a line using the equation: 7x2y=147 x-2 y=-14 7/27 / 2 2/7-2 / 7 7 1/7-1 / 7

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Problem 2611

Problem \#2: Morgan is setting up tables for her wedding. Each table seats 8 people, and there is room for up to 120 people. If Morgan has already placed 5 tables, how many more tables does she need to set up to accommodate all 120 guests?

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Problem 2612

duding zero) depending on your answer. What is the measure of central angle AOBA O B to the nearest tenth a degree?
The measure of AOB\angle A O B is approximately \qquad degrees.
The solution is \square

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Problem 2613

The radius of a circle is 2 feet. Central angle AOBA O B cuts off arc ABA B. The length of arc ABA B is π6\frac{\pi}{6} yards. What is the radian measure of angle AOBA O B ? π12\frac{\pi}{12} π4\frac{\pi}{4} 4π\frac{4}{\pi} 12π\frac{12}{\pi}

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Problem 2614

What radian measure is equivalent to 210210^{\circ} ? 76\frac{7}{6} radians 6π7\frac{6 \pi}{7} radians 7π12\frac{7 \pi}{12} radians 7π6\frac{7 \pi}{6} radians

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Problem 2615

12=54w+53-\frac{1}{2}=-\frac{5}{4} w+\frac{5}{3}

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Problem 2616

The population of a city can be modeled using the formurd P=100,000e0.05tP=100,000 e^{0.05 t}, where tt is the number of years after 2012 and PP is the city's population. Which of the following equations can be used to find the number of years after 2012 that the population will triple to 300,000 ? t=log30.05t=\frac{\log 3}{0.05} t=30.05et=\frac{3}{0.05 e} t=ln200,0000.05t=\frac{\ln 200,000}{0.05} t=ln30.05t=\frac{\ln 3}{0.05}

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Problem 2617

sin(π/2)=\sin (\pi / 2)= \square and sin(3π/2)=\sin (3 \pi / 2)= \square

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Problem 2618

(including zero)
Investing $10,000\$ 10,000 in a savings account at 3%3 \% annual interest compounded monthly will result in approximately how much money after 10 years? Use the formula: A=P(1+rm)mtA=P\left(1+\frac{r}{m}\right)^{m t} \10,564.6810, 564.68 \13,439.16 13,439.16 $13,000.00\$ 13,000.00 \$13, 493.54

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Problem 2619

9. Which statements below is false regarding the logarithmic equation y=alogbxy=a \log _{b} x, where b>0b>0 and b1?b \neq 1 ? a. The range is yRy \in \mathbb{R} b. There is no yy-intercept. c. The xx-intercept is 1 d. The domain is x0x \geq 0

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Problem 2620

The combustion of toluene has a ΔErxn\Delta E_{\mathrm{rxn}} of 3.91×103 kJ/mol-3.91 \times 10^{3} \mathrm{~kJ} / \mathrm{mol}. When 1.55 g of toluene (C7H8)\left(\mathrm{C}_{7} \mathrm{H}_{8}\right) undergoes combustion in a bomb calorimeter, the temperature rises from 23.12C23.12^{\circ} \mathrm{C} to 37.57C37.57^{\circ} \mathrm{C}. Find the heat capacity of the bomb calorimeter. Express the heat capacity in kilojoules per degree Celsius to three significant figures. nAΣϕC 圈 ?\begin{aligned} \square \sqrt[n]{\square} \mathrm{A} \Sigma \phi \end{aligned} \rightarrow \mathrm{C} \text { 圈 } ? Submit Request Answer

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Problem 2621

Use the discriminant to determine how many and what kind of solutions the quadratic equation x2x=1x^{2}-x=1 has. one real solution two complex (nonreal) solutions no real or complex solutions two real solutions

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Problem 2622

4x2+11.4x11.4=04 x^{2}+11.4 x-11.4=0

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Problem 2623

1) Find the roots of each equation a) 2=log(x+25)2=\log (x+25) b) 1log(w7)=01-\log (w-7)=0 c) 63log(2n)=06-3 \log (2 n)=0

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Problem 2624

713+2136+42==\begin{aligned} 7-13+21-36+42 & =\square- \\ & =\square\end{aligned}

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Problem 2625

Read the problem. Isabella's dance class is 45 minutes long. 20%20 \% of the time is spent stretching. How many minutes does Isabella spend stretching?
Pick the model that represents the problem. \begin{tabular}{|c|c|c|c|c|c|} \hline 0\% & 20\% & 40\% & 60\% & 80\% & 100\% \\ \hline 0 & \multicolumn{4}{|l|}{45} & ? \\ \hline 0\% & 20\% & 40\% & 60\% & 80\% & 100\% \\ \hline 0 & \multicolumn{4}{|l|}{?} & 45 \\ \hline \end{tabular}
How many minutes does Isabella spend stretching? \square minutes Submit Work it out

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Problem 2626

Solve for rr. 3r+2=7r=\begin{array}{l} 3 r+2=-7 \\ r= \end{array}

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Problem 2627

Solve for qq. q2+6=8q=\begin{array}{l} \frac{q}{2}+6=8 \\ q=\square \end{array}

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Problem 2628

Follow the steps below to find the nonnegative numbers xx and yy that satisfy the given requirements. Give the optimum value of the indicated expression. Complete parts (a) through ( ff ) below. x+y=180x+y=180 and the product P=xyP=x y as large as possible. (a) Solve x+y=180x+y=180 for yy. \square (Type an equation.)

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Problem 2629

Solve for jj. j2+14.9=18.3j=\begin{array}{l} \frac{j}{2}+14.9=18.3 \\ j=\square \end{array}

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Problem 2630

Solve for tt 0.46(t8)=0.92t=\begin{array}{l} 0.46(t-8)=-0.92 \\ t=\square \end{array}

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Problem 2631

Question 14 of 25 Select the true statement about triangle ABCA B C. A. cosA=cosC\cos A=\cos C B. cosA=sinB\cos A=\sin B PREVIOUS

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Problem 2632

Graph the linear equation. y=3xy=3 x
Find three ordered pair solutions of the given equation. \begin{tabular}{|c|c|} \hline x\mathbf{x} & y\mathbf{y} \\ \hline 0 & \square \\ \hline-2 & \square \\ \hline 1 & \square \\ \hline \end{tabular} (Type an integer or a simplified fraction.) (Type an integer or a simplified fraction.) (Type an integer or a simplified fraction.) Which graph is the graph of y=3xy=3 x ? Choose the correct graph below. A. B. c. D.

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Problem 2633

Dottie has 1400 U.S. dollars. If 1 New Zealand dollar equals 0.7059 U.S. dollars, about how many New Zealand dollars can Dottie buy for her U.S. dollars? A. $1.42\$ 1.42 B. $0.71\$ 0.71 C. $988.26\$ 988.26 D. $1983.28\$ 1983.28

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Problem 2634

A line with a slope of 12\frac{1}{2} passes through the point (4,8)(4,-8). What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. \square 믐 Submit Work it out Not feeling ready yet? These can help:

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Problem 2635

Current Attempt in Progress
A disk with a rotational inertia of 5.68 kg m25.68 \mathrm{~kg} \cdot \mathrm{~m}^{2} rotates like a merry-go-round while undergoing a torque given by τ=(8.44+7.42t)Nm\tau=(8.44+7.42 \mathrm{t}) \mathrm{N} \cdot \mathrm{m}. At time t=1.00 st=1.00 \mathrm{~s}, its angular momentum is 4.61 kg m2/s4.61 \mathrm{~kg} \cdot \mathrm{~m}^{2} / \mathrm{s}. What is its angular momentum at t=3.00 st=3.00 \mathrm{~s} ?
Number i Units \square eTextbook and Media

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Problem 2636

Textbook Sections 7.5 and 7.6 Homework Mini Quiz POSSIBLE POINTS: 2.5
Which one of these statements about Work and Energy is incorrect? The work done on an object by a constant force FF at an angle θ\theta of the object's displacement dd is W=FdcosθW=F d \cos \theta The work-energy theorem for an object states that the net work on an object is equal to the object's change in kinetic energy Wnet =ΔK\mathrm{W}_{\text {net }}=\Delta \mathrm{K} The work done on an object by a constant force FF in the direction of the object's displacement dd is W=Fd\mathrm{W}=\mathrm{Fd} The kinetic energy of an object is K=1/2mv2\mathrm{K}=1 / 2 \mathrm{mv}{ }^{2} \qquad The spring potential energy of a spring stretched so that its total length is x is US=1/2kx2U_{S}=1 / 2 k x^{2} 9 8F8^{\circ} \mathrm{F} Q Search 4. \square 2

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Problem 2637

Establish the identity. cos(π2+θ)=sinθ\cos \left(\frac{\pi}{2}+\theta\right)=-\sin \theta
Choose the sequence of steps below that verifies the identity. A. cos(π2+θ)=cosπ2cosθ+sinπ2sinθ=(0)cosθ+(1)sinθ=sinθ\cos \left(\frac{\pi}{2}+\theta\right)=\cos \frac{\pi}{2} \cos \theta+\sin \frac{\pi}{2} \sin \theta=(0) \cos \theta+(1) \sin \theta=-\sin \theta B. cos(π2+θ)=sinπ2cosθcosπ2sinθ=(1)cosθ+(0)sinθ=sinθ\cos \left(\frac{\pi}{2}+\theta\right)=\sin \frac{\pi}{2} \cos \theta-\cos \frac{\pi}{2} \sin \theta=(1) \cos \theta+(0) \sin \theta=-\sin \theta C. cos(π2+θ)=sinπ2cosθ+cosπ2sinθ=(0)cosθ(0)sinθ=sinθ\cos \left(\frac{\pi}{2}+\theta\right)=\sin \frac{\pi}{2} \cos \theta+\cos \frac{\pi}{2} \sin \theta=(0) \cos \theta-(0) \sin \theta=-\sin \theta D. cos(π2+θ)=cosπ2cosθsinπ2sinθ=(0)cosθ(1)sinθ=sinθ\cos \left(\frac{\pi}{2}+\theta\right)=\cos \frac{\pi}{2} \cos \theta-\sin \frac{\pi}{2} \sin \theta=(0) \cos \theta-(1) \sin \theta=-\sin \theta

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Problem 2638

Sale 35%35 \% OFF!
效., During the sale, Ron pays $60.06\$ 60.06 for a concert ticket. What was the original price?
\square

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Problem 2639

Sale 95\% OFF! ) The sale price of a leather chair is $20\$ 20. What was the original price?
$\$ \square

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Problem 2640

130. A rectangular pool with dimensions 5 feet ×20\times 20 feet ×10\times 10 feet is being filled at a rate of 10 cubic feet per minute. At this rate, how long will it take to fill the pool? (A) 1 hour (B) 1 hour 10 minutes (C) 1 hour 20 minutes (D) 1 hour 30 minutes (E) 1 hour 40 minutes

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Problem 2641

There are 16 ounces in 1 pound. Juan is mailing a package that weighs 96 ounces. He wants to know the weight of the package in pounds.
Complete the statement to describe how to convert ounces to pounds. To find the weight in pounds, divide \square the number of ounces by the unit rate, 16 \square ounces per pound.
How many pounds is 96 ounces? Complete the equation. 96 ounces == \square pounds

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Problem 2642

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 (x)(x) 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? \begin{tabular}{l|cccccccc} Chirps in 1 min & 1229 & 754 & 846 & 1001 & 842 & 794 & 1144 & 959 \\ \hline Temperature ( F)\left.{ }^{\circ} \mathrm{F}\right) & 88.1 & 71.5 & 74.1 & 77.7 & 72.5 & 74.4 & 91 & 80.7 \end{tabular}
The regression equation is y^=+()x\hat{y}=\square+(\square) x. (Round the constant to one decimal place as needed. Round the coefficient to four decimal places as needed.)

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Problem 2643

5x+17=1\sqrt{5 x+1}-7=-1

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Problem 2644

Question Watch Video Show Examples
Abdoulaye launches a toy rocket from a platform. The height of the rocket in feet is given by h=16t2+16t+60h=-16 t^{2}+16 t+60 where tt represents the time in seconds after launch. How long is the rocket in the air?
Answer Attempt 1 out of 2 seconds Submit Answer

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Problem 2645

kes a word processor 30 minutes to word process and spell check 4 pages. Find how long it takes her to word cess and spell check 22 pages. kes the word processor \square minutes.

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Problem 2646

133. Four is 3 less than 1/21 / 2 of what number? (A) 12 (B) 14 (C) 16 (D) 18 (E) 20

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Problem 2647

For the given proportion, find the unknown number nn. 18n=3264\frac{18}{n}=\frac{\frac{3}{2}}{\frac{6}{4}}

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Problem 2648

ement of the progress bar may be uneven becouse questions can be worth in Multiply, expressing the product in scientific notation (9.16×103)(5.5×106)\left(9.16 \times 10^{-3}\right)\left(5.5 \times 10^{6}\right) 5.038×1045.038 \times 10^{4} 50.38×10350.38 \times 10^{3} 5.038×1025.038 \times 10^{2} 5.038×1015.038 \times 10^{-1}

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Problem 2649

ew Homework Part 1 of 2
A box with an open top has a square base and four sides of equal height. The volume of the box is 539ft3539 \mathrm{ft}^{3}. If the surface area is 357ft2357 \mathrm{ft}^{2}, find the dimensions of the box.
Find the possible length(s) of the square base, xx. x=ft\mathrm{x}=\square \mathrm{ft}^{-} (Type an integer or decimal rounded to nearest thousandth as needed. Use a comma to se

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Problem 2650

A tank initially contains 200 gal of brine in which 30 lb of salt are dissolved. A brine containing 4lb/gal4 \mathrm{lb} / \mathrm{gal} of salt runs into the tank at the rate of 5gal/min5 \mathrm{gal} / \mathrm{min}. The mixture is kept uniform by stirring and flows out of the tank at the rate of 4 gal/min\mathrm{gal} / \mathrm{min}. Let yy represent the amount of salt at time t Complete parts a through e . d. Write down and solve the initial value problem describing the mixing process. dydt=204y200+t,y(0)=30\frac{d y}{d t}=20-\frac{4 y}{200+t}, y(0)=30
What is the solution to the initial value problem? y=\mathrm{y}=\square e. Find the concentration of salt in the tank 18 min after the process starts. \square lb/gal (Type an integer or decimal rounded to the nearest tenth as needed.)

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Problem 2651

11] x2+28x60x^{2}+28 x-60 12] x2+7x30x^{2}+7 x-30

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Problem 2652

etermine whether the proportion is a true proportion. 16756=31613\frac{1 \frac{6}{7}}{\frac{5}{6}}=\frac{3 \frac{1}{6}}{\frac{1}{3}}
Is the proportion a true proportion? A. Yes, because 16713=316561 \frac{6}{7} \cdot \frac{1}{3}=3 \frac{1}{6} \cdot \frac{5}{6}. B. No, because 167+13316+561 \frac{6}{7}+\frac{1}{3} \neq 3 \frac{1}{6}+\frac{5}{6}. C. No, because 16713316561 \frac{6}{7} \cdot \frac{1}{3} \neq 3 \frac{1}{6} \cdot \frac{5}{6} 616-1 15

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Problem 2653

1. Tia cut a 4 -meter 8 -centimeter wire into 10 equal pieces. Marta cut a 540 -centimeter wire into 9 equal pieces. How much longer is one of Marta's wires than one of Tia's?

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Problem 2654

Atmospheric pressure p is modeled by assuming that the rate dp/dh\mathrm{dp} / \mathrm{dh} at which p changes with the altitude h above sea level is proportional to p . Suppose that the pressure at sea level is 1007 millibars and that the pressure at altitude 20 km is 70 millibars. Complete parts a. through c . P0=1007 millibars k=0.1308 km1\begin{array}{l} \mathrm{P}_{0}=1007 \text { millibars } \\ \mathrm{k}=-0.1308 \mathrm{~km}^{-1} \end{array} (Round to four decimal places as needed.) b. What is the atmospheric pressure at h=40 km\mathrm{h}=40 \mathrm{~km} ? \square p(40)= millibars \mathrm{p}(40)=\square \text { millibars } (Round to three decimal places as needed.) c. At what altitude does the pressure equal 700 millibars? \square hp=700=km\mathrm{h}_{\mathrm{p}=700}=\square \mathrm{km} (Round to three decimal places as needed.)

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Problem 2655

Given the parameters: a=0.85085714286,b=20.64285714286,r=0.8948345138,r2=0.97907750055,\text{Given the parameters: } a = 0.85085714286, \, b = 20.64285714286, \, r = 0.8948345138, \, r^2 = 0.97907750055, \text{write the linear equation in the form } y = ax + b.

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Problem 2656

139. Dave counted a total of 9 dogs and cats at a shelter. Which of the following could be the ratio of dogs to cats at the shelter? (A) 1:21: 2 (B) 1:31: 3 (C) 1:41: 4 (D) 1:51: 5 (E) 1:61: 6

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Problem 2657

>> Next question Get a similar question You can retry this question below
Find how much money needs to be deposited now into an accóunt to obtain $8,900\$ 8,900 (Future Value) in 7 years if the interest rate is 8%8 \% per year compounded continuously.
The final amount is \ \square$ Round your answer to 2 decimal places

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Problem 2658

Determine the coordinates of the (i) yy-intercept of the graph of y=3(x+2)21y=-3(x+2)^{2}-1.

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Problem 2659

1. Convert the cartesian point (23,2)(-2 \sqrt{3}, 2) into its polar form. List all possible representations.
2. Write the equation of the circle (x3)2+(y+4)2=25(x-3)^{2}+(y+4)^{2}=25 into its polar form r=ρ(θ)r=\rho(\theta).
3. Write the polar equation of the following polar graph:

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Problem 2660

Two of the hottest smartphones on the market are the newly released iPhone6 and the Samsung Galaxy S6. CNet.com offers online reviews of all major cell phones, including battery life tests. In a review of the iPhone6, the talk-time battery life of 35 iPhones was measured. Similarly, the talk-time battery life of 30 Galaxy S6s was measured.
Two outputs are given below. Which is appropriate for analyzing the data collected? ``` Output 1 Hhi Mean of iPhone6 \muz: Mean of Galaxy S6 ``` \begin{tabular}{|l|c|c|} \hline Difference & Sample Diff. & Std. Err. \\ \hlineμ1μ2\mu_{1}-\mu_{2} & -0.71759861 & 0.189403 \\ \hline \end{tabular}
Possible p-values: 0.0001,0.0002,0.99990.0001,0.0002,0.9999 Output 2 HR=mH_{R}=\mathrm{m} ean of the paired difference between iPhone6 and Galaxy 56 \begin{tabular}{|c|c|c|} \hline Difference & Sample Diff. & Std. Err. \\ \hline iPhone6 - Galaxy S6 & -0.754246 & 0.192151 \\ \hline \end{tabular}
Possible p-values: 0.0002,0.0004,0.99980.0002,0.0004,0.9998 Output 1 Output 2
Using the StatCrunch output chosen above, determine if there is a difference in the mean battery life for the two phones. Use a significance level of 0.01 when conducting the test. - Select the appropriate hypotheses. Make sure the notation used in the hypotheses agrees with the type of samples selected in the output. Ho:μd=0Ho:μd=0Ho:μd=0Ho:μ1=μ2Ho:μ1=μ2Ho:μ1=μ2Ha:μd>0Ha:μd<0Ha:μd0Ha:μ1<μ2Ha:μ1>μ2Ha:μ1μ2\begin{array}{llllll} H_{o}: \mu_{d}=0 & H_{o}: \mu_{d}=0 & H_{o}: \mu_{d}=0 & H_{o}: \mu_{1}=\mu_{2} & H_{o}: \mu_{1}=\mu_{2} \quad H_{o}: \mu_{1}=\mu_{2} \\ H_{a}: \mu_{d}>0 & H_{a}: \mu_{d}<0 & H_{a}: \mu_{d} \neq 0 & H_{a}: \mu_{1}<\mu_{2} & H_{a}: \mu_{1}>\mu_{2} & H_{a}: \mu_{1} \neq \mu_{2} \end{array} - α=\alpha= \square reject HoH_{o} if probability \square α\alpha - TS:t=\mathrm{TS}: \mathrm{t}= \square (make sure you reference the probabilities in the output you selected in the - probability = ) first question) - decision: Select an answer (6) - At the 0.01 level, there Select an answer significant evidence to conclude the mean battery life for an iPhone 6 is Select an answer (0) than the mean for a Galaxy S6.

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Problem 2661

- Despeja esta Ecuación en foncion de aA WAsen(25)FRAFRABMAaA=WBsen(25)+FRAB+MBaAW_{A} \operatorname{sen}(25)-F R A-F R A B-M_{A} a_{A}=W_{B} \operatorname{sen}(25)+F R A B+M B a_{A}

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Problem 2662

A 140 -foot antenna is on top of a tall building. From a point on the ground, the angle of elevation to the top of the antenna is 27.527.5^{\circ}, while the angle of elevation to the bottom of the antenna from the same point is 22.522.5^{\circ}. How tall is the building? (Give your answer to the nearest foot.)

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Problem 2663

(log4a)(loga2a)(log2ax)=logaa3\left(\log _{4} a\right)\left(\log _{a} 2 a\right)\left(\log _{2 a} x\right)=\log _{a} a^{3}

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Problem 2664

(log4a)(loga2a)(log2ax)=logaa3\left(\log _{4} a\right)\left(\log _{a} 2 a\right)\left(\log _{2 a} x\right)=\log _{a} a^{3}

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Problem 2665

Watch on Youltube
Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1. 6y=q6^{y}=q
Hint

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Problem 2666

Providing for doubtful accounts
At the end of the current year, the accounts receivable account has a debit balance of $1,935,000\$ 1,935,000 and sales for the year total $26,710,000\$ 26,710,000. a. The allowance account before adjustment has a debit balance of $10,200\$ 10,200. Bad debt expense is estimated at 1/21 / 2 of 1%1 \% of sales. b. The allowance account before adjustment has a debit balance of $10,200\$ 10,200. An aging of the accounts in the customer ledger indicates estimated doubtful accounts of \175,000.c.Theallowanceaccountbeforeadjustmenthasacreditbalanceof175,000. c. The allowance account before adjustment has a credit balance of \25,760 25,760. Bad debt expense is estimated at 3/43 / 4 of 1%1 \% of sales. d. The allowance account before adjustment has a credit balance of $25,760\$ 25,760. An aging of the accounts in the customer ledger indicates estimated doubtful accounts of $170,420\$ 170,420.
Determine the amount of the adjusting entry to provide for doubtful accounts under each of the assumptions (a through d) listed above. a. $\$ \square b. $\$ \square c. $\$ \square d. $\$ \square

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Problem 2667

Verify the identity using the fundamental trigonometric identities. tan(θ)+cot(θ)=sec(θ)csc(θ)\tan (\theta)+\cot (\theta)=\sec (\theta) \csc (\theta)
Use Reciprocal Identities to rewrite the expression in terms of sine and cosin tan(θ)+cot(θ)=sin(θ)cos(θ)+sin(θ)=cos(θ)sin(θ)\begin{aligned} \tan (\theta)+\cot (\theta) & =\frac{\sin (\theta)}{\cos (\theta)}+\frac{\square}{\sin (\theta)} \\ & =\frac{\square}{\cos (\theta) \sin (\theta)} \end{aligned}
Use a Pythagorean Identity to simplify the numerator of the expression. =cos(θ)sin(θ)=\frac{\square}{\cos (\theta) \sin (\theta)}
Use Reciprocal Identities again to simplify. ==\square Submit Answer
15. [1/1 Points] DETAILS MY NOTES SPRECALC8 7.1.042.

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Problem 2668

Entries for notes receivable
Valley Designs issued a 120-day, 6\% note for \60,000datedApril10toBorkFurnitureCompanyonaccount.Assumea360dayyear.a.Determinetheduedateofthenote.60,000 dated April 10 to Bork Furniture Company on account. Assume a 360 -day year. a. Determine the due date of the note. \squareb.Determinethematurityvalueofthenote.$ b. Determine the maturity value of the note. \$ \squarec1.JournalizetheentrytorecordthereceiptofthenotebyBorkFurniture.Ifanamountboxdoesnotrequireanentry,leaveitblank. c1. Journalize the entry to record the receipt of the note by Bork Furniture. If an amount box does not require an entry, leave it blank. \square \square \square \square \squarec2.Journalizetheentrytorecordthereceiptofpaymentofthenoteatmaturity.Ifanamountboxdoesnotrequireanentry,leaveitblank. c2. Journalize the entry to record the receipt of payment of the note at maturity. If an amount box does not require an entry, leave it blank. \square \square \square \square \square \square \square \square \square$

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Problem 2669

5. Sketch the graph of y=2x+5y=-2 x+5 on a Cartesian plane for x=4x=-4 to x=+10x=+10. Label the xx-and yy-intercepts and the end points. 422(2)2+2 - 4×8(2)\begin{array}{l} 42-2(2)^{2}+2 \\ \text { - } 4 \times 8 \\ (2) \end{array} 1) ==

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Problem 2670

There are two triangles for which A=30,a=7, and b=10A=30^{\circ}, \quad a=7, \quad \text { and } \quad b=10
The larger one has c=c= \square , and the smaller one has c=c= \square

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Problem 2671

A certain drug is used to treat asthma. In a clinical trial of the drug, 25 of 284 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 10%10 \% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.01 significance level to ``` 1-PropzTest prop<0.1 ``` ``` p=0.2506296634 \hat{p}=0.0880281690 n=284 ``` complete parts (a) through (e) below. a. Is the test two-tailed, left-tailed, or right-tailed? Left-tailed test Right tailed test Two-tailed test b. What is the test statistic? z=0.67z=-0.67 (Round to two decimal places as needed.) c. What is the P -value? PP-value =0.2506=0.2506 (Round to four decimal places as needed.) d. What is the null hypothesis, and what do you conclude about it?
Identify the null hypothesis. A. H0:p=0.1H_{0}: p=0.1 B. H0:p<0.1H_{0}: p<0.1 c. H0:p0.1H_{0}: p \neq 0.1 D. H0:p>0,1H_{0}: p>0,1

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Problem 2672

A particle moves on a coordinate line with acceleration d2sdt2=60t24t\frac{d^{2} s}{d t^{2}}=60 \sqrt{t}-\frac{24}{\sqrt{t}}, subject to the conditions that dsdt=8\frac{d s}{d t}=8 and s=17s=17 when t=1t=1. Find the velocity v=dsdtv=\frac{d s}{d t} in terms of tt and the position ss in terms of tt.
The velocity v=dsdtv=\frac{d s}{d t} in terms of tt is v=40t3248t12+21v=40 t^{\frac{3}{2}}-48 t^{\frac{1}{2}}+21

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Problem 2673

Find the principal needed now to get the given amount; that is, find the present value. To get $500\$ 500 after 4 years at 5\% compounded quarterly
The present value of $500\$ 500 is $409.87\$ 409.87. (Round to the nearest cent as needed.)

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Problem 2674

At a local museum, a statue must be at least 127 centimeters tall for display purposes. Rob wants to give the museum the statue he built. His statue is 3 feet 7 inches tall. Is Rob's statue tall enough to be accepted by the museum? Explain.
Click the icon to view the customary and metric unit equivalents.
Choose the correct answer below. A. No. 3ft7in.=43in3 \mathrm{ft} 7 \mathrm{in} .=43 \mathrm{in}. Multiply 43 by 2.54 to find the height of Rob's statue to the nearest tenth of a centimeter: 43×2.54 cm=109.2 cm43 \times 2.54 \mathrm{~cm}=109.2 \mathrm{~cm}, and 109.2 cm<127 cm109.2 \mathrm{~cm}<127 \mathrm{~cm}. B. No. 3ft7in.=43in3 \mathrm{ft} 7 \mathrm{in} .=43 \mathrm{in}. Divide 43 by 2.54 to find the height of Rob's statue to the nearest tenth of a centimeter: 43÷2.54 cm=16.9 cm43 \div 2.54 \mathrm{~cm}=16.9 \mathrm{~cm}, and 16.9 cm<127 cm16.9 \mathrm{~cm}<127 \mathrm{~cm}. C. Yes. 3ft7in.=53in3 \mathrm{ft} 7 \mathrm{in} .=53 \mathrm{in}. Multiply 53 by 2.54 to find the height of Rob's statue to the nearest tenth of a centimeter: 53×2.54 cm=134.6 cm53 \times 2.54 \mathrm{~cm}=134.6 \mathrm{~cm}, and 134.6 cm>127 cm\mathrm{cm}>127 \mathrm{~cm}. D. No. 3ft7in.=53in3 \mathrm{ft} 7 \mathrm{in} .=53 \mathrm{in}. Divide 53 by 2.54 to find the height of Rob's statue to the nearest tenth of a centimeter: 53÷2.54 cm=20.9 cm53 \div 2.54 \mathrm{~cm}=20.9 \mathrm{~cm}, and 20.9 cm<127 cm20.9 \mathrm{~cm}<127 \mathrm{~cm}.

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Problem 2675

A television show conducted an experiment to study what happens when buttered toast is dropped on the floor. When 46 buttered slices of toast were dropped, 25 of them landed with the buttered side up and 21 landed with the buttered side down. Use a 0.10 significance level to test the claim that toast will land with the buttered side down 50%50 \% of the time. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. After that, supposing the intent of the experiment was to assess the claim that toast will land with the buttered side down more than 50%50 \% of the time, write a conclusion that addresses the intent of the experiment.
Let p denote the population proportion of all buttered toast that will land with the buttered side down when dropped. Identify the null and alternative hypotheses to test the claim that buttered toast will land with the buttered side down 50%50 \% of the time. H0\mathrm{H}_{0} : p \square \square H1p\mathrm{H}_{1} \mathrm{p} \square \square (Type integers or decimals. Do not round.)

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Problem 2676

Challenge The table lists recommended amounts of food to order for 25 party guests. Sydney and Nathan are hosting a graduation party for 40 guests. They know \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Party Food } \\ \hline Item & Amount \\ \hline Fried Chicken & 32 pieces \\ \hline Deli Meats & 4134 \frac{1}{3} pounds \\ \hline Lasagna & 113411 \frac{3}{4} pounds \\ \hline \end{tabular} there will also be guests stopping by who may have come from other parties. For ordering purposes,
Sydney and Nathan should order \square pieces of chicken. (Simplify your answer. Type an integer, proper fraction, or mixed number.)

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Problem 2677

Find the principal needed now to get the given amount; that is, find the present value. To get $500\$ 500 after 4 years at 5%5 \% compounded quarterly
The present value of $500\$ 500 is $409.87\$ 409.87. (Round to the nearest cent as needed.)

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Problem 2678

Solve sec(2x)2=0\sec (2 x)-2=0 for the four smallest positive solutions x=x=
Give your answers accurate to at least two decimal places, as a list separated by commas Question Help: Video Check Answer
Question 9 0/10 / 1 pt 2
List all solutions of the equation cosx(2sinx+1)=0\cos x(2 \sin x+1)=0. on the interval [0,2π)[0,2 \pi). x=x=
Question Help: Worked Example 1 Check Answer Question 10 0/1 pt 2
Solve 6sin2(t)cos(t)4=06 \sin ^{2}(t)-\cos (t)-4=0 for all solutions 0t<2π0 \leq t<2 \pi t=t= \square Give your answers accurate to 2 decimal places, as a list separated by commas

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Problem 2679

The gauge pressure at the bottom of a cylinder of liquid is 0.50 atm . The liquid is poured into another cylinder with twice the radius of the first cylinder.
Part A
What is the gauge pressure at the bottom of the second cylinder? Express your answer in atmospheres. AΣϕ ? P= atm \begin{array}{l} \sqrt[\square]{\square} A \Sigma \phi \\ \text { ? } \\ P= \\ \text { atm } \end{array}

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Problem 2680

The carbon-14 nuclide radioactively decays by beta emission. Write a balanced nuclear chemical equation that describes this process. \square

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Problem 2681

The ratio of the sums of the sides of a triangle taken two at a time is 19:26:27. Find the ratio of the circumradius to the inradius of the triangle
Marks:3.0 Negative Marks:1.0

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Problem 2682

7-7. OpenSeas, Inc. is evaluating the purchase of a new cruise ship. The ship would cost $500\$ 500 million, and would operate for 20 years. OpenSeas expects annual cash flows from operating the ship to be $70\$ 70 million (at the end of each year) and its cost of capital is 12%12 \%. a. Prepare an NPV profile of the purchase. b. Estimate the IRR (to the nearest 1\%) from the graph. c. Is the purchase attractive based on these estimates? d. How far off could OpenSeas' cost of capital be (to the nearest 1%1 \% ) before your purchase decision would change?

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Problem 2683

8. (a) Verify that for all n1n \geq 1, 261014(4n2)=(2n)!n!2 \cdot 6 \cdot 10 \cdot 14 \cdots \cdots(4 n-2)=\frac{(2 n)!}{n!}

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Problem 2684

6x2+5x=106x6 x^{2}+5 x=10-6 x

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Problem 2685

In the game of roulette, a player can place a $4\$ 4 bet on the number 4 and have a 138\frac{1}{38} probability of winning. If the metal ball lands on 4 , the player gets to keep the $4\$ 4 paid to play the game and the player is awarded an additional $140\$ 140. Otherwise, the player is awarded nothing and the casino takes the player's $4\$ 4. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose?
The expected value is $\$ \square . (Round to the nearest cent as needed.) The player would expect to lose about $\$ \square (Round to the nearest cent as needed.)

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Problem 2686

Is there a doctor in the house? A market research firm reported the mean annual earnings of all family practitioners in the United States was $178,258\$ 178,258. A random sample of 43 family practitioners in Los Angeles had mean earnings of xˉ=$193,010\bar{x}=\$ 193,010 with a standard deviation of $42,777\$ 42,777. Do the data provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles is greater than the national average? Use the α=0.05\alpha=0.05 level of significance and the PP-value method with the T1-84 Plus calculator.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:μ=178,258H1:μ>178,258\begin{array}{l} H_{0}: \mu=178,258 \\ H_{1}: \mu>178,258 \end{array}
This hypothesis test is a \square right-tailed test.
Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. t=2.26t=2.26
Part 3 of 5 (c) Compute the PP-value. Round the answer to at least four decimal pla P-value =0.014P \text {-value }=0.014 \square
Part: 3/53 / 5
Part 4 of 5 (d) Determine whether to reject H0H_{0}. (Choose one) \nabla the null hypothesis H0H_{0}.

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Problem 2687

EXERCISE 2 \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{TPSC WEEKLY PAYROLL} \\ \hline NAME EMPLOVEE & HOURLY RATE & HOUR WORKED & GROSS PAY \\ \hline Shabanjumma & 500 & 36.5 & \\ \hline Rosemary Hamis & 425 & 38 & \\ \hline Stanley Herman & 380 & 45 & \\ \hline jery Muro & 455 & 35 & \\ \hline Rose Moses & 395 & 31 & \\ \hline Anna Materu & 450 & 40 & \\ \hline Hamis Mto & 755 & 33 & \\ \hline Jane Peter & 557 & 36 & \\ \hline Jarman Dupry & 365 & 27.5 & \\ \hline Harun Mussa & 350 & 31.5 & \\ \hline TOTAL & & & \\ \hline \end{tabular}
TASK
1. Develop the worksheet as it appear
2. Gross pay =hourly rate thour worked
3. Calculate total gross pay

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Problem 2688

4. (230)10=(??)8(230)_{10}=(? ?)_{8}

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Problem 2689

Student number: .23283 3
1. A parallel-plate capacitor has a capacitance of 10μ F10 \mu \mathrm{~F} and is charged with a 20 V power supply. A dielectric material of dielectric constant 2.0 is used to fill the space between the plates of the capacitor, which is still connected with a battery. What is the capacitance now of the capacitor in μF\mu \mathrm{F} and, what is the voltage now across the capacitor in VV C=v=\begin{array}{l} C= \\ v= \end{array}

E I=20C1=10I=2\begin{array}{l} I=20 \\ C_{1}=10 \\ I=2 \end{array}

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Problem 2690

Big babies: The National Health Statistics Reports described a study in which a sample of 332 one-year-old baby boys were weighed. Their mean weight was 25.5 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys differs from 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the α=0.01\alpha=0.01 level of significançe and the PP-value method with the TI-84 Plus calculator.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:μ=25H1:μ25\begin{array}{l} H_{0}: \mu=25 \\ H_{1}: \mu \neq 25 \end{array}
This hypothesis test is a two-tailed t\quad \boldsymbol{t} test.
Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. t=1.72t=1.72
Part: 2/52 / 5
Part 3 of 5 (c) Compute the PP-value. Round the answer to at least four decimal places. P-value =P \text {-value }=\square

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Problem 2691

Commuting to work: A community survey sampled 1923 people in Colorado and asked them how long it took them to commute to work each day. The sample mean one-way commute time was 25.2 minutes with a standard deviation of 13 minutes. A transportation engineer claims that the mean commute time is greater than 25 minutes. Do the data provide convincing evidence that the engineer's claim is true? Use the α=0.10\alpha=0.10 level of significance and the PP-value method with the TI-84 Plus calculator.
Part: 0/50 / 5
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:H1:\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}
This hypothesis test is a \square (Choose one) test.

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Problem 2692

Commuting to work: A community survey sampled 1923 people in Colorado and asked them how long it took them to commute to work each day. The sample mean one-way-commute time was 25.2 minutes with a standard deviation of 13 minutes. A transportation engineer claims that the mean commute time is greater than 25 minutes. Do the data provide convincing evidence that the engineer's claim is true? Use the α=0.10\alpha=0.10 level of significance and the PP-value method with th TI-84 Plus calculator.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:μ=25H1:μ>25\begin{array}{l} H_{0}: \mu=25 \\ H_{1}: \mu>25 \end{array}
This hypothesis test is a right-tailed \square test.
Part: 1/51 / 5
Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. t=t=\square

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Problem 2693

4. Se consideră trapezul dreptunghic ABCDA B C D, în care ADBC,ADAB,AB=8 cmA D \| B C, A D \perp A B, A B=8 \mathrm{~cm} și \Varangle A D C=30^{\circ}. Calculați lunglmea segmentului CD.

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Problem 2694

3. The above diagram shows a cross section of a hemispherical bowl of radius 8 cm . Water is poured into the bowl such that the height, h cmh \mathrm{~cm}, of the water increases at a rate of 0.2 cm/s0.2 \mathrm{~cm} / \mathrm{s}. (a) Show that the area of the surface of the water, A cm2A \mathrm{~cm}^{2} is given by A=π(16hh2).A=\pi\left(16 h-h^{2}\right) . [3 marks] (b) Find the rate of increase of AA when hh is 6 cm . [4 marks]

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Problem 2695

In a simple random sample of size 58 , there were 36 individuals in the category of interest.
Part 1 of 4 (a) Compute the sample proportion p^\hat{p}. Round the answer to at least three decimal places.
The sample proportion is 0.621
Part 2 of 4 (b) Are the assumptions for a hypothesis test satisfied? Explain.
Yes \square , the number of individuals in each category is greater than 10.
Part 3 of 4 (c) It is desired to test H0:p=0.6H_{0}: p=0.6 versus H1:p>0.6H_{1}: p>0.6. Compute the test statistic zz. Round the answer to at least two decimal places.
The test statistic is 0.33 .
Part: 3/43 / 4
Part 4 of 4 (d) Compute the PP-value. Round the answer to at least four decimal places. PP-value: \square Do you reject H0H_{0} at the 0,1 level? Yes No

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Problem 2696

9 A curve has equation y=x33x210xy=x^{3}-3 x^{2}-10 x. Find the xx-coordinates of the points on the curve where the gradient is -1 . (4)
0 (a) Show that the straight line with equation y=3x+8y=3 x+8 is a tangent to the circle (x1)2+(y1)2=10(x-1)^{2}+(y-1)^{2}=10 and determine the coordinates of the point of contact (b) Does the straight line with equation y=2x10y=2 x-10 intersect the circle?
Explain
Two straight lines have equations 2x+3y9=02 x+3 y-9=0 and 3x2y+43 x-2 y+4 respectively. Show that these lines are perpendicular
Determine the range of values of kk for which the equation x2+2kx+2k1=0x^{2}+2 k x+2 k-1=0 has two distinct roots (4)

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Problem 2697

Ammonia, NH3\mathrm{NH}_{3} is used as a fertilizer in agriculture due to its impact on soil chemistry. If a solution of ammonia has a pH of 8.5 , calculate the concentration of NH3\mathrm{NH}_{3} at equilibrium. [Given the base dissociation constant, Kb\mathrm{K}_{\mathrm{b}} for NH3\mathrm{NH}_{3} is 1.8×1051.8 \times 10^{-5} ] [5 marks]

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Problem 2698

Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850 , with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720 . She finds that a random sample of 50 people had a mean FICO score of 707 with a standard deviation of 79 . Can the economist conclude that the mean FICO score is less than 720? Use the α=0.10\alpha=0.10 level of significance and the PP-value method with the TI-84 Plus calculator.
Part: 0/50 / 5 \square
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:H1:\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}
This hypothesis test is a (Choose one) \boldsymbol{\nabla} test. \square

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Problem 2699

Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850 , with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720 . She finds that a random sample of 50 people had a mean FICO score of 707 with a standard deviation of 79 . Can the economist conclude that the mean FICO score is less than 720 ? Use the α=0.10\alpha=0.10 level of significance and the PP-value method with the TI-84 Plus calculator.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:μ=720H1:μ<720\begin{array}{l} H_{0}: \mu=720 \\ H_{1}: \mu<720 \end{array}
This hypothesis test is a left-tailed \nabla test.
Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. t=1.16t=-1.16
Part: 2/52 / 5
Part 3 of 5 (c) Compute the PP-value. Round the answer to at least four decimal places. P-value =P \text {-value }=\square

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Problem 2700

College tuition: The mean annual tuition and fees for a sample of 13 private colleges in California was $33,000\$ 33,000 with a standard deviation of $7300\$ 7300. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you condude that the mean tuition and fees for private institutions in California is less than $35,000\$ 35,000 ? Use the α=0.01\alpha=0.01 tevel of significance and the PP-value method with the π\pi - 84 Plus calculator.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0=μ=35,000H1=μ<35,000\begin{array}{l} H_{0}=\mu=35,000 \\ H_{1}=\mu<35,000 \end{array}
This hypothesis test is a left-tailed \quad test.
Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. t=0.99t=-0.99
Part: 2/52 / 5
Part 3 of 5 (c) Compute the PP-value. Round the PP-value to at least four decimal places. PP-vatue == \square

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