Math

Problem 40401

Solve the equation x22x45=2x2x^{2}-2 x-45=\frac{2 x}{2}.

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Problem 40402

Determine the number of significant figures in the value 700.

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Problem 40403

Jill wants to show how TV hours relate to quiz scores. Which graph should she use: stem-and-leaf, histogram, circle, or scatter plot?

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Problem 40404

Count the significant figures in the number 0.0700200.070020.

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Problem 40405

Count the significant figures in the number 1.001001.00100.

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Problem 40406

Find the function g(x)g(x) after vertically stretching f(x)=x+2f(x)=x+2 by a factor of 5.

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Problem 40407

Count the significant figures in 9020.0.

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Problem 40408

Create a histogram for the data set X: {0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100} with Y: 2, 3 and 10 class intervals.

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Problem 40409

Calculate the value of (3+3)2(3+3)^{2}.

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Problem 40410

Compare your service hours after 12 weeks (y=35y = 35) with your friend's after 9 weeks (y=26y = 26). Who has more?

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Problem 40411

Compare your and your friend's service hours after several weeks. Who has more hours initially? When do they equal?

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Problem 40412

Simplify the rational expression: 5c215c320c2d+25c2\frac{5 c^{2}-15 c^{3}}{20 c^{2} d+25 c^{2}}. Which is equivalent?

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Problem 40413

Simplify the expression 110xy25xz\frac{110 x y}{25 x z}.

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Problem 40414

Find xx if KM\overline{K M} bisects JKL\angle J K L with mJKL=92m \angle J K L=92^{\circ} and mMKL=(5x+1)m \angle M K L=(5 x+1)^{\circ}.

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Problem 40415

Calculate 512×155 \frac{1}{2} \times \frac{1}{5}.

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Problem 40416

Simplify 2x210x32x2\frac{2 x^{2}}{10 x^{3}-2 x^{2}}, 110x31\frac{1}{10 x^{3}-1}, 15x1\frac{1}{5 x-1}, 110x3\frac{1}{10 x^{3}}.

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Problem 40417

Solve for yy in the equation: 2y+5=4y+132y + 5 = 4y + 13. Simplify your answer.

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Problem 40418

Identify which of the following expressions equals 1 and which equals -1:
x+33+x3xx3 \frac{x+3}{3+x} \quad \frac{3-x}{x-3}

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Problem 40419

Solve the equation: 3u+2=10u+30-3u + 2 = -10u + 30.

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Problem 40420

2.5×$1.50=2.5 \times \$ 1.50=

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Problem 40421

Solve for uu: 7u+11u+5=2u+31-7u + 11u + 5 = 2u + 31

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Problem 40422

In a talent show with 8 acts, find the probabilities of: A) singer first, comedian second, dancer third, pianist fourth; B) any order of pianist, comedian, dancer, juggler in first four. Provide answers as simplified fractions. P(A)= P(A)= P(B)= P(B)=

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Problem 40423

Calculate the state income tax owed on an \80,000salaryusingthefollowingrates:2%for$03000,3%for$30015000,5%for$500117000,and5.75%for$17,001andup.80,000 salary using the following rates: 2\% for \$0-3000, 3\% for \$3001-5000, 5\% for \$5001-17000, and 5.75\% for \$17,001 and up. tax=$[?]\operatorname{tax}=\$[?]$

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Problem 40424

Identify the graph of the constant function f(x)=3f(x)=3 and its parent function.

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Problem 40425

Calculate the state income tax for a \50,000salaryusingthegivenprogressivetaxrates.Roundtothenearestdollar.50,000 salary using the given progressive tax rates. Round to the nearest dollar. tax=$[?]\operatorname{tax}=\$[?]$

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Problem 40426

Check if each value of uu satisfies the equation 28u=382 - 8u = -38: u=3,5,2,6u = -3, 5, 2, -6.

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Problem 40427

Solve for ww: 3w+8(w5)=5-3w + 8(w - 5) = 5.

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Problem 40428

Find the solutions for the equation: 3x25x13=03 x^{2}-5 x-13=0.

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Problem 40429

Find the reflection rule for triangle C(3,8),D(5,12),E(4,6)C(3,8), D(5,12), E(4,6) to C(8,3),D(12,5),E(6,4)C'(-8,-3), D'(-12,5), E'(-6,-4).

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Problem 40430

Solve the equation 9(u+1)=3u+339(u+1)=3u+33.

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Problem 40431

Solve for uu in the equation: 7u+17=5(u1)-7 u + 17 = -5(u - 1).

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Problem 40432

Solve for vv in the equation: 3=2(v+4)+3v3=2(v+4)+3v.

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Problem 40433

Solve for yy: 4(y+3)=3y444(y+3)=-3y-44

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Problem 40434

Which equation correctly solves for xx in gx+p=r-g x+p=r? A. x=p+r9x=\frac{p+r}{-9} B. x=prqx=\frac{p-r}{q} C. x=rpgx=\frac{r-p}{-g} D. x=p+rgx=\frac{p+r}{g}

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Problem 40435

Convert 87 kg to pounds using the conversion 1lb0.45kg1 \mathrm{lb} \approx 0.45 \mathrm{kg}. Round to the nearest whole number.

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Problem 40436

Which equation correctly solves for xx in gx+p=r-g x + p = r? A. x=p+rgx=\frac{p+r}{-g} B. x=prqx=\frac{p-r}{q} C. x=rpqx=\frac{r-p}{-q} D. x=p+r9x=\frac{p+r}{9}

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Problem 40437

Solve for xx in the equation 7=x+418-7=\frac{x+41}{-8}.

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Problem 40438

Solve for xx in the equation 3x324=5\frac{3 x-32}{4}=-5.

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Problem 40439

Which equation correctly solves for xx in fxg=h-f x - g = h? A. x=h+gjx=\frac{h+g}{-j} B. x=h+gȷx=\frac{h+g}{\jmath} C. x=ghjx=\frac{g-h}{-j} D. x=hgjx=\frac{h-g}{-j}

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Problem 40440

Find the equation to determine when the car rental costs are equal: A. 40.49d=31.49d40.49 d=31.49 d B. 24.5+15.99d=27.5+3.99d24.5+15.99 d=27.5+3.99 d C. 27.5d+15.99=24.5d+3.9927.5 d+15.99=24.5 d+3.99 D. 24.5d+15.99=27.5d+3.9924.5 d+15.99=27.5 d+3.99

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Problem 40441

Find the equation equivalent to the average velocity formula v=d2d1t2t1v=\frac{d_{2}-d_{1}}{t_{2}-t_{1}} from options A-D.

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Problem 40442

Find missing relative frequencies (\checkmark) and values of τ\tau in a frequency distribution with total frequency 25.

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Problem 40443

Solve the equation: 3x+165=2\frac{3 x+16}{5}=2.

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Problem 40444

Calculate the expression: 32+5(3)+9-3^{2}+5(-3)+9.

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Problem 40445

A pump delivers 8138 \frac{1}{3} gallons/min. If it runs for 5 min, how many gallons are transferred? A. 10 B. 131313 \frac{1}{3} C. 401340 \frac{1}{3} D. 41 E. 412341 \frac{2}{3}

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Problem 40446

Calculate the expression: 62+8(6)36^{2}+8(6)-3.

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Problem 40447

How much weight is added using 4 weights of 1141 \frac{1}{4} ounces each? Options: F. 4 oz, G. 4144 \frac{1}{4} oz, H. 4344 \frac{3}{4} oz, J. 5 oz, K. 5125 \frac{1}{2} oz.

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Problem 40448

Find the total thickness of a beam made of 5 boards, each 1341 \frac{3}{4} inches thick. What is the total thickness? A. 4344 \frac{3}{4} inches B. 6 inches C. 7 inches D. 7127 \frac{1}{2} inches E. 8348 \frac{3}{4} inches

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Problem 40449

Calculate the expression: 42+6(4)+3-4^{2}+6(-4)+3.

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Problem 40450

How many milliliters of waste are extracted in 24 hours if you extract 1121 \frac{1}{2} mL each hour?

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Problem 40451

Is the relative frequency for the range "30 to 39" equal to 0.24 based on the given data?

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Problem 40452

Find the slope of the line connecting points (2,6)(-2,-6) and (2,2)(2,2). Choose the correct answer.

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Problem 40453

The employee pays 40% of \12,350annually.Calculatethebiweeklycost:BiweeklyInsuranceCost12,350 annually. Calculate the biweekly cost: Biweekly Insurance Cost =\[?][?]

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Problem 40454

Calculate the expression: 625(6)46^{2}-5(6)-4.

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Problem 40455

You have 1121 \frac{1}{2} rolls of dimes worth \$5 each. What is your total deposit? Options: A. \$3.00, B. \$5.00, C. \$6.50, D. \$7.50.

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Problem 40456

What instrument setting is needed for a patient's arm thickness of 3143 \frac{1}{4} inches if the setting is 8 per inch? A. 22 B. 24 C. 26 D. 30 E. 34

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Problem 40457

A country has 45 states. If the average area is 180,126 km², is this a statistic or a parameter? Choose A, B, C, or D.

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Problem 40458

Is the salary data of each teacher in a school a population or a sample? Choose A, B, C, or D.

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Problem 40459

Set a drill to go 38\frac{3}{8} of the way through a 2.5 cm thick sheet. How deep should the drill be set?

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Problem 40460

Find the slope of the line connecting points (6,9) and (7,1). Choose the correct answer: (A) 18-\frac{1}{8}, (B) -8, (C) 18\frac{1}{8}, (D) 8.

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Problem 40461

The employee pays 20% of \$2,730 yearly for insurance. What is the biweekly deduction? Biweekly Insurance Cost \$[?]

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Problem 40462

The employee pays 30% of \7,540forinsurance.Findthebiweeklycost:BiweeklyInsuranceCost7,540 for insurance. Find the biweekly cost: Biweekly Insurance Cost =\[?][?]

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Problem 40463

True or false: A company randomly selects 100 out of 5000 employees to gauge interest in on-site daycare. Is this a random sample?

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Problem 40464

Calculate the bill for 1341 \frac{3}{4} hours at a rate of \$80 per hour. Options: A. \$60 B. \$90 C. \$100 D. \$120 E. \$140

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Problem 40465

Solve for ww: 2w6+2(4w+4)=2(w+8)2w - 6 + 2(4w + 4) = -2(w + 8). Simplify your answer.

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Problem 40466

Find the slope of the line connecting the points (9,6)(-9,-6) and (3,9)(3,-9). Choices: (A) -4 (B) 14-\frac{1}{4} (C) 4 (D) 14\frac{1}{4}

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Problem 40467

What is the distance between the handle and the blade if company policy requires it to be 1121 \frac{1}{2} times 7 inches? A. 7127 \frac{1}{2} inches B. 8128 \frac{1}{2} inches C. 9 inches D. 101210 \frac{1}{2} inches E. 11 inches

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Problem 40468

Find the intercepts of the line y=4x+7y=4x+7. No rounding. xx-intercept: ( , yy-intercept: (

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Problem 40469

The employee pays 40% of \$12,610 per year. What is the biweekly deduction from their paycheck? Biweekly Cost = \$[?]

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Problem 40470

Solve the equation: 2w6+2(4w+4)=2(w+8)2 w - 6 + 2(4 w + 4) = -2(w + 8).

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Problem 40471

How much clearance is needed for 5 layers of insulation that are 3123 \frac{1}{2} inches thick each? Options: F. 101210 \frac{1}{2}, G. 121212 \frac{1}{2}, H. 16, J. 171217 \frac{1}{2}, K. 19.

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Problem 40472

How much length should you add to a pipe if the joint is 3123 \frac{1}{2} inches and the pipe extends 14\frac{1}{4} into it? F. 14\frac{1}{4} inch G. 78\frac{7}{8} inch H. 1181 \frac{1}{8} inches J. 1141 \frac{1}{4} inches K. 1341 \frac{3}{4} inches

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Problem 40473

Calculate the overtime pay for an employee with a normal rate of \16.50,whereovertimeis16.50, where overtime is 1 \frac{1}{2}$ times the normal rate.

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Problem 40474

The employee pays 20% of \2,990forhealthinsurance.Whatisthebiweeklydeduction?BiweeklyInsuranceCost2,990 for health insurance. What is the biweekly deduction? Biweekly Insurance Cost =\[?][?]

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Problem 40475

|The following bivariate data set contains an outlier. \begin{tabular}{|r|r|} \hline \multicolumn{1}{|c|}{xx} & \multicolumn{1}{c|}{yy} \\ \hline 17.7 & 345.8 \\ \hline 23.1 & -180.9 \\ \hline 31 & -615.6 \\ \hline-7.7 & 164.1 \\ \hline 47.6 & 304.4 \\ \hline 11.2 & 106 \\ \hline 22.1 & -362.4 \\ \hline 1.7 & -100.7 \\ \hline 32.9 & -296.7 \\ \hline 52.9 & 307.9 \\ \hline 37.8 & -902.3 \\ \hline 22.9 & -530.8 \\ \hline 48.6 & 420 \\ \hline 48.7 & -75.1 \\ \hline 234.7 & 4386.9 \\ \hline \end{tabular}
What is the correlation coefficient with the outlier? rw=r_{w}= \square [Round your answer to three decimal places.]
What is the correlation coefficient without the outlier? rwo=r_{w o}= \square [Round your answer to three decimal plades.]
Would inclusion of the outlier change the evidence for or against a linear correlation? Yes. Including the outlier changes the evidence regarding a linear correlation. No. Including the outlier does not change the evidence regarding a linear correlation.

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Problem 40476

6) 2x=322^{x}=32

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Problem 40477

All Bookr
Graph the function and its reflection about the yy-axis on the same axes, and give the yy-intercept. f(x)=5(14)xf(x)=5\left(\frac{1}{4}\right)^{x}
Clear All Draw: \square
The yy-intercept is \square . (Enter an ordered pair.)

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Problem 40478

Question 1 (1 point) The graph of the function y=sinπx{ }_{y=\sin \pi x} has a period of 2 . True False

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Problem 40479

Question 1 (1 point) Give an equation for a transformed sine function with an amplitude of 12\frac{1}{2}, a period of 52\frac{5}{2}, a phase shift of 32\frac{3}{2} rad to the right, and a vertical translation of 1 unit down. a) y=0.5sin[0.8π(x1.5)]1y=0.5 \sin [0.8 \pi(x-1.5)]-1 b) y=0.5sin[0.8(x1.5)]1y=0.5 \sin [0.8(x-1.5)]-1 c) y=0.5sin[0.8(x+1.5)]1y=0.5 \sin [0.8(x+1.5)]-1 d) y=0.5sin[0.8π(x+1.5)]1y=0.5 \sin [0.8 \pi(x+1.5)]-1

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Problem 40480

Rationalize the denominator. 8112\frac{\sqrt{8}}{11-\sqrt{2}}

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Problem 40481

Бодлого 12. Хэрэв log25=x,log23=y\log _{2} 5=x, \log _{2} 3=y бол log3054\log _{30} 54 логарифмыг x,yx, y-ээр илэрхийл-的 IY: A) 3y+11+y+x\frac{3 y+1}{1+y+x} B) 3y11+yx\frac{3 y-1}{1+y-x} C) y+1y+x\frac{y+1}{y+x} D) y1+x\frac{y}{1+x}

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Problem 40482

Suppose T:R2R3T: R^{2} \rightarrow \mathbb{R}^{3} is a linear transformation. Three vectors u1,u2\mathbf{u}_{1}, \mathbf{u}_{2} and u3\mathbf{u}_{3} are given below together with their images by TT. Find T(w)T(\mathbf{w}) for the given vector w\mathbf{w}. u1=[22]u2=[66]u3=[23]w=[1013]T(u1)=[20816]T(u2)=[602448]T(u3)=[251121]T(w)=[000]\begin{array}{l} \mathbf{u}_{1}=\left[\begin{array}{l} 2 \\ 2 \end{array}\right] \mathbf{u}_{2}=\left[\begin{array}{l} -6 \\ -6 \end{array}\right] \mathbf{u}_{3}=\left[\begin{array}{l} 2 \\ 3 \end{array}\right] \mathbf{w}=\left[\begin{array}{l} -10 \\ -13 \end{array}\right] \quad T\left(\mathbf{u}_{1}\right)=\left[\begin{array}{c} 20 \\ 8 \\ -16 \end{array}\right] \quad T\left(\mathbf{u}_{2}\right)=\left[\begin{array}{c} -60 \\ -24 \\ 48 \end{array}\right] \quad T\left(\mathbf{u}_{3}\right)=\left[\begin{array}{c} 25 \\ 11 \\ -21 \end{array}\right] \\ T(\mathbf{w})=\left[\begin{array}{l} 0 \\ 0 \\ 0 \end{array}\right] \end{array} SUBMIT AND MARK

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Problem 40483

3. Find the exact roots using quadratic formula: a) 0=2x26x+10=2 x^{2}-6 x+1 b) 0=3x28x+30=3 x^{2}-8 x+3

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Problem 40484

16. The acceleration due to gravity on Earth is 9.8 m/s29.8 \mathrm{~m} / \mathrm{s}^{2}. A ball is thrown upward at an initial velocity of 15 m/s15 \mathrm{~m} / \mathrm{s} from a height of 1 m above the ground. Round answers to the nearest tenth. a) Write an equation for the height of the ball. b) What is the height of the ball after 1 s ? c) After how many seconds does the ball land? d) What is the maximum height of the 20. ball? When does this occur? e) Repeat parts a) to d) for a ball thrown on the Moon, where g=1.62 m/s2g=1.62 \mathrm{~m} / \mathrm{s}^{2}. f) Repeat parts a) to d) for a ball thrown on Jupiter, where g=23.1 m/s2g=23.1 \mathrm{~m} / \mathrm{s}^{2}.

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Problem 40485

Determine the amplitude of the sinusoidal function y=0.75cosπ2x0.5y=0.75 \cos \frac{\pi}{2} x-0.5. a) 0.5 b) 34\frac{3}{4} c) π2\frac{\pi}{2} d) 12\frac{1}{2}

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Problem 40486

Solve the following equation. 4x+86=0\sqrt{4 x+8}-6=0
Select the correct choice below and, if necessary, fill in the answer bo choice.

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Problem 40487

Describe the end behavior of the graphs of the function. f(x)=4(2)x2f(x)=-4(2)^{x}-2
As x,f(x)x \rightarrow-\infty, f(x) \rightarrow \square As x,f(x)x \rightarrow \infty, f(x) \rightarrow \square

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Problem 40488

Бодлого 13. Хэрэв log53=a,log52=b\log _{5} 3=a, \log _{5} 2=b бол log5460\log _{54} 60 логарифмыт a,ba, b-ээр илэрхийлннэ IF. A) 2b+a+13a+b\frac{2 b+a+1}{3 a+b} B) 3ab2a+b+1\frac{3 a-b}{2 a+b+1} C) 3a+b2a+b\frac{3 a+b}{2 a+b} D) a+b2a+3b+1\frac{a+b}{2 a+3 b+1}

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Problem 40489

sec2θ=2\sec ^{2} \theta=\sqrt{2}

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Problem 40490

What is the capacity of a rectangular clarifier that is 20 feet wide, 75 feet long and 15 feet deep?

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Problem 40491

Subtract. (14+i)(1+4i)(14+i)-(-1+4 i)

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Problem 40492

Start with the graph of f(x)=2xf(x)=2^{x}. Then write a function that results from the given transformation.
Reflect f(x)f(x) about the yy-axis. g(x)=g(x)= \square

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Problem 40493

πr2r=25\pi r^{2} \quad r=2-5

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Problem 40494

Бодлого 20. 6logx23log2x+7=06 \log _{x} 2-3 \log _{2} x+7=0 тэгшитгэлийг бодно уу. A) (8;232)\left(8 ; \frac{\sqrt[3]{2}}{2}\right) B) 8 C) 3 D) 23-\frac{2}{3}

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Problem 40495

Find the product, if possible. [155][158415]\left[\begin{array}{r} 1 \\ 5 \\ -5 \end{array}\right]\left[\begin{array}{rrr} 1 & 5 & -8 \\ -4 & -1 & 5 \end{array}\right]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The product is \square B. The product is not defined.

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Problem 40496

Factor the expression 2m2+m12m^2 + m - 1.

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Problem 40497

(x+4)(x5)=16(x+4)(x-5)=-16
The solution set is \square \}. (Type an exact answer, using radicals as needed. Use integers or fractions for numbers in the expression. Use a comma to separate answers as needed.)

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Problem 40498

Evaluate the function. Round answers to four decimal places, if necessary. f(x)=4(5)x, for f(3).f(3)=\begin{array}{l} f(x)=4(5)^{x}, \text { for } f(-3) . \\ f(-3)= \end{array} \square

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Problem 40499

A research study was conducted about gender differences in "sexting." The researcher belleved that the proportion of girls involved in "sexting" is less than the proportion of boys involved. The data collected in the spring of 2010 among a random sample of middle and high school students in a large school district in the southern United States is out of 2231 males, 183 particpated in sexting. Out of 2169, 156 particpated. Is the proportion of girls sending sexts less than the proportion of boys "sexting?" Test at a 1\% level of significance. a) If we use BB to denote the boys and GG to denote the girls, identify the correct alternative hypothesis. H1:pBpGH_{1}: p_{B} \neq p_{G} H1:pB<pGH_{1}: p_{B}<p_{G} H1:pB>pGH_{1}: p_{B}>p_{G} b) Determine the test statistic. Round to two decimals. z=z=\cdot \square c) Find the phalue and round to 4 decimals. p=p= \square d) Make a decision. Reject the null hypothesis Fail to reject the null hypothesis e) Write the conclusion. There is sufficient evidence to support the claim that the proportion of girls who sext is less than boys. There is not sufficient evidence to support the claim that the proportion of girls who sext is less than boys.

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Problem 40500

A scientist begins with 110 milligrams of a radioactive substance that decays exponentially. After 39 hours, 55 mg of the substance remains. How many milligrams will remain after 59 hours? Round to the nearest tenth. \square mg

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