Word Problem

Problem 7001

10. Aylan plants equal-sized squares of sod in a yard Each square has an area of 6 square feet. Aylan plants a total of 1,000 squares in a yard. What is the total area of the squares of sod?

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Problem 7002

Find i (the rate per period) and n (the number of periods) for the following loan at the given annual rate. Semiannual payments of $4,400\$ 4,400 are made for 11 years to repay a loan at 8.1%8.1 \% compounded semiannually. i=i= \square (Type an integer or decimal rounded to four decimal places as needed.)

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Problem 7003

6 N .12 (a) The standard potential of the reduction of Ag2CrO4\mathrm{Ag}_{2} \mathrm{CrO}_{4} to Ag(s)\mathrm{Ag}(\mathrm{s}) and chromate ions is +0.446 V . Write the balanced half-reaction for the reduction of silver chromate. (b) Using the data from part (a) and Appendi 2B\underline{2 B}, calculate the solubility product of Ag2CrO4( s)\mathrm{Ag}_{2} \mathrm{CrO}_{4}(\mathrm{~s}).
6N. 13 Calculate the reaction quotient, QQ, for the following cell reactions, given the measured values of the cell potential. Balance the chemical equations by using the smallest whole-number coefficients. (a) Pt(s)Sn4+(aq),Sn2+(aq)Pb4+(aq),Pb2+(aq)C(gr),Ecell =+1.33 V\mathrm{Pt}(\mathrm{s})\left|\mathrm{Sn}^{4+}(\mathrm{aq}), \mathrm{Sn}^{2+}(\mathrm{aq})\right|\left|\mathrm{Pb}^{4+}(\mathrm{aq}), \mathrm{Pb}^{2+}(\mathrm{aq})\right| \mathrm{C}(\mathrm{gr}), E_{\text {cell }}=+1.33 \mathrm{~V}.

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Problem 7004

Which expression or phrase is NOT equivalent to the others? 81 343^{4} 4444 \cdot 4 \cdot 4 3 to the fourth power

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Problem 7005

In 2012 , the population of a city was 5.79 million. The exponential growth rate was 1.39%1.39 \% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t)=P(t)= \square , where tt is in terms of the number of years since 2012 and P(t)P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)

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Problem 7006

w) in savvas DUE Part 1 of 2 Nov 26 - 6:45 am sales?
Heidi earned \ \square$ in commission.

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Problem 7007

Counting TRANSCRIPT
Look at the following series of numbers. kind of skip-counting does it show?  ... 28, 35, 42, 49\text { ... 28, 35, 42, } 49 \ldots

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Problem 7008

The Food and Drug Administration (FDA) regulates the amount of mercury in consumable fish, where consumable fish should only contain at most 1mg/kg1 \mathrm{mg} / \mathrm{kg} of mercury. In Florida, bass fish were collected in 51 different lakes to measure the amount of mercury in the fish from each of the 51 lakes. Do the data provide enough evidence to show that the fish in all Florida lakes have different mercury than the allowable amount? State the random variable, population parameter, and hypotheses. a. The symbol for the random variable involved in this problem is \square xx- \checkmark 060^{6} b. The wording for the random variable in context is as follows: the mercury level in fish of a randomly selected Florida lake Select an answer c. the mercury level in fish of a randomly selected Florida lake d. a randomly selected Florida lake the mean mercury level in fish of all Florida lakes the mean mercury level in fish of 51 randomly selected Florida lakes e. all Florida lakes the mercury level in fish 51 randomly selected Florida lakes f. A Type I error in the context of this problem would be
Rejecting that the mean mercury level in fish for all Florida lakes is 1mg/kg1 \mathrm{mg} / \mathrm{kg} when the mean really is 1mg/kg1 \mathrm{mg} / \mathrm{kg}.

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Problem 7009

According to the Federal Trade Commission report on consumer fraud and identity theft, 23%23 \% of all complaints in 2007 were for identity theft. This year, a certain state kept track of the number of its 1415 complaints were for identity theft. They want to know if the data provide enough evidence to show that this state had a higher proportion of identity theft than 23%23 \% ? State the random variable, population parameter, and hypotheses. a. The symbol for the random variable involved in this problem is b. The wording for the random variable in context is as follows: Select an answer c. The symbol for the parameter involved in this problem is \square \square d. The wording for the parameter in context is as follows: Select an answer e. Fill in the correct null and alternative hypotheses. H0:??vHA:??\begin{array}{l} H_{0}: ? \vee ? v \square \\ H_{A}: ? \vee ? \vee \square \end{array} f. A Type I error in the context of this problem would be \square g. A Type II error in the context of this problem would be
Select an answer Question Help: Video 1 Video 2 Submit Question

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Problem 7010

Math 15 Coordinate Geometry Quiz 1 Name: LUKA T. \qquad 1) State whether each point is in quadrant 1,2,3,41,2,3,4 or on the xx-axis or yy-axis. ( 1 mark each) a) (3,4)(-3,-4) b) (0,7)(0,7) c) (2,6)(2,6) d) (2,3)(-2,3) e) (2,0(-2,0 xx

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Problem 7011

Identify which of the following terms does not belong in the list. Explain your answer.
1. Hertz
2. Frequency
3. Decibels
4. Pitch

Write at least 1 sentence in your response. 0/10 / 1

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Problem 7012

EVALUATE Independent Practice
Complete the previous problems, check your solutions, then complete the Lesson Checkpoint below.
Complete the Lesson Reflection above by circling your current understanding of the Learning Goal(s).
1. Find the range of the function f(x)=2x3f(x)=-2 x-3 for the domain {1,0,1}\{-1,0,1\}

Range: \qquad
2. Find the range of the function f(n)=n22nf(n)=n^{2}-2 n for the domain {1,3,5}\{1,3,5\}

Range: \qquad
Evaluate the function using function notation and interpret the value in context. Natalie wants to know how much money her computer costs each day if she never turns it off. She uses a meter to record the amount of energy her computer uses each day for 30 days.
After recording the cost for 30 days, she determined the cost to run her computer is equal to the function f(d)f(d), where f(d)=.40df(d)=.40 d, and dd is the number of days.
3. What is the value of f(d)f(d) at f(30)f(30) ?
4. What is the value of f(30)f(30) in context? (1) lifelong Algebra 1A (2024) Module 2

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Problem 7013

Internet service: An Internet service provider sampled 538 customers and found that 78 of them experienced an interruption in high-speed service during the previous month.
Part 1 of 3 (a) Find a point estimate for the population of all customers who experienced an interruption. Round the answer to at least three decimal places.
The point estimate for the population proportion of all customers who experienced an interruption is 0.145 .
Part: 1/31 / 3
Part 2 of 3 (b) Construct an 80%80 \% confidence interval for the proportion of all customers who experienced an interruption. Round the answer to at least three decimal places.
An 80%80 \% confidence interval for the proportion of all customers who experienced an interruption is \square <p<<p< \square

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Problem 7014

Find the equation for the linear function that passes through the points (3,7)(3,7) and (5,19)(5,19). \square Round all answers to 4 decimal places as needed Find the equation for the exponential function that passes through the points (3,7)(3,7) and (5,19)(5,19). \square

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Problem 7015

Volunteering: The General Social Survey asked 1305 people whether they performed any volunteer work during the past year. A total of 522 people said they did.
Part: 0/30 / 3
Part 1 of 3 (a) Find a point estimate for the proportion of people who performed volunteer work during the past year. Round the answer to at least three decimal places.
The point estimate for the proportion of people who performed volunteer work during the past year is \square

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Problem 7016

Which of the following are true? A) It is possible for a function to not have a global maximum or a global minimum. B) If a continuous function has 3 critical points then it must have a global maximum. Only B Only A AA and BB Neither A or B Clear my selection

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Problem 7017

Ro. Ermitteln Sie jeweils eine gebrochen-rationale Funktion der Form f:xp(x)q(x)f: x \mapsto \frac{p(x)}{q(x)}, die bzw. deren Graph folgende Eigenschaften hat, und erläutern Sie sich gegenseitig Ihre Ergebnisse. a) Die Funktion ff divergiert für xx \rightarrow-\infty gegen ++\infty und der Funktionsgraph GfG_{f} hat die Asymptote mit der Gleichung x=3x=-3. b) Der Funktionsgraph Gf\mathrm{G}_{\mathrm{f}} hat die Asymptote mit der Gleichung x=0,5\mathrm{x}=0,5 und die Asymptote mit der Gleichung y=43xy=4-3 x.

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Problem 7018

The answer above is NOT correct.
Find the volume of the solid whose base is the region in the first quadrant bounded by y=x6,y=1y=x^{6}, y=1, and the yy-axis and whose cross-sections perpendicular to the xx axis are squares.

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Problem 7019

The answer above is NOT correct.
Find the volume of the solid whose base is the region in the first quadrant bounded by y=x6,y=1y=x^{6}, y=1, and the yy-axis and whose cross-sections perpendicular to the xx axis are squares.

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Problem 7020

3\checkmark 3 14 5\checkmark 5 6 7\checkmark 7 8 9 10 =11=11 12 13 14
WOW: In the computer game World of Warcraft, some of the strikes are critical strikes, which do more damage. Assume that the probability of a critical strike is the same for every attack, and that attacks are independent. During a particular fight, a character has 241 critical strikes out of 596 attacks.
Part: 0/30 / 3 \square
Part 1 of 3 (a) Construct an 80%80 \% confidence interval for the proportion of strikes that are critical strikes. Round the answer to at least three decimal places.
An 80%80 \% confidence interval for the proportion of strikes that are critical strikes is \square <p<<p< \square .

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Problem 7021

3 Multiple Choice 1 point
Suppose a population is modeled by P(t)=250(1+480e8t)P(t)=\frac{250}{\left(1+480 e^{-8 t}\right)}. If the model of this population began in 1980 when will the population be growing most rapidly(to the nearest year)? 1984 1996 1988 2012 1992 Clear my selection

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Problem 7022

Exercice 3: Dans une classe de pere D au collégé Adventiste bilingue de Bertoua, d'un effectif de 80 élèves ; 55 personnes pratiquent la natation, 33 le tennis et 16 ne pratiquent aucun des deux sports. En vous servant du diagramme dé Venn répondre aux questions suivantes : a) Déteiminer le nombre d' élèves pratiquant uniquement la natation. b) Détérminer le nombre d'élèves pratiquant uniquement le tennis. c) Déferminer le nombre d'élèves pratiquant les deux sports. 1,5pt 1,5pt 1,5pt 0,5pt

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Problem 7023

Formula 10 points Marcelle, your French foreign exchange student, rushes into the kitchen one December morning in a panic. She has heard on the local radio station that the high temperature today will be 420 F . Marcelle is very concerned about this unusually warm temperature during the winter. To calm Marcelle you must "translate' the local temperature into degrees Celsius. What value do you get? Round to two decimal places.
Type your answer...

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Problem 7024

3. Graph each of the following functions using: - The method of single roots, double roots, triple roots - The method of 'even' and 'odd' V. asymptotes - The direction towards the O.A. asymptote - You can cross the O.A. asymptote a) y=x2+1xy=\frac{x^{2}+1}{x} b) y=(x1)2xy=\frac{(x-1)^{2}}{x} c) y=(x+1)(x1)2x2y=\frac{(x+1)(x-1)^{2}}{x^{2}}

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Problem 7025

Complete parts (a) through (c) below. a. A storage pod has a rectangular floor that measures 21 feet by 12 feet and a flat ceiling that is 6 feet above the floor. Find the area of the floor and the volume of the pod. b. A lap pool has a length of 25 yards, a width of 23 yards, and a depth of 4 yards. Find the pool's surface area (the water surface) and the total volume of water that the pool holds. c. A raised flower bed is 35 feet long, 7 feet wide, and 1.8 feet deep. Find the area of the bed and the volume of soil it holds. a. The area of the floor of the pod is \square (Type an integer or a decimal.) The volume of the pod is \square \square (Type an integer or a decimal.) b. The pool's surface area is \square \square (Type an integer or a decimal.) The total volume of the water that the pool holds is \square \square (Type an integer or a decimal.)

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Problem 7026

CW: 5.2\mathbf{5 . 2} on ALEKS Time Remaining: 40:51 Question 8 of 10 (1 point) | Question Attempt: 1 of 1 =1=1 2\equiv 2 =3=3 4\equiv 4 =5=5 7\equiv 7 8 9 10
Alonzo is driving on a highway. He uses one gallon of gas every 25 miles he drives. The distance, DD (in miles), he travels on gg gallons of gas is given by the following function. D(g)=25gD(g)=25 g
How far does Alonzo drive if he uses 2 gallons of gas?
50 miles

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Problem 7027

How much would you need to deposit in an account now in order to have $6000\$ 6000 in the account in 10 years? Assume the account earns 6%6 \% interest compounded continously. \ \square$

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Problem 7028

In a study of 789 randomly selected medical malpractice lawsuits, it was found that 484 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.
Which of the following is the hypothesis test to be conducted? A. H0:p=0.5\mathrm{H}_{0}: \mathrm{p}=0.5 B. H0:p>0.5H_{0}: p>0.5 H1:p0.5H_{1}: p \neq 0.5 H1:p=0.5H_{1}: p=0.5 C. H0:p0.5H_{0}: p \neq 0.5 D. H0:p<0.5H_{0}: p<0.5 H1:p=0.5H_{1}: p=0.5 H1:p=0.5H_{1}: p=0.5 E. H0:p=0.5H_{0}: p=0.5 F. H0:p=0.5\mathrm{H}_{0}: \mathrm{p}=0.5 H1:p>0.5H_{1}: p>0.5 H1:p<0.5H_{1}: p<0.5
What is the test statistic? z=6.37z=6.37 (Round to two decimal places as needed.) What is the P -value? P -value == \square (Round to three decimal places as needed.)

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Problem 7029

Decide which of the two given prices is the better deal and explain why. You can fill a 12-gallon tank of gas for \$25.27 or buy gas for \$2.10/gallon.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The better deal is to fill a 12-gallon tank for $25.27\$ 25.27 because the price to fill a 12 -gallon tank of gas for $25.27\$ 25.27 is $\$ \square per gallon. B. The better deal is to buy gas for $2.10\$ 2.10 /gallon because the price to fill a 12 -gallon tank of gas for $25.27\$ 25.27 is $\$ per gallon. (Round to the nearest cent as needed.)

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Problem 7030

Part 1 of 4 Points: 0 of 1 Save
A poll of 1130 teens aged 13 to 17 showed that 53%53 \% of them have made new friends online. Use a 0.01 significance level to test the claim that half of all teens have made new friends online. Use the P -value method. Use the normal distribution as an approximation to the binomial distribution.
Let pp denote the population proportion of all teens aged 13 to 17 who have made new friends online. Identify the null and alternative hypotheses. H0:pYH1:pY\begin{array}{l|l} \mathrm{H}_{0}: \mathrm{p} & \mathbf{Y} \\ \mathrm{H}_{1}: \mathrm{p} & \mathbf{Y} \\ \square \end{array} (Type integers or decimals. Do not round.)

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Problem 7031

Suppose that $2000\$ 2000 is invested at a rate of 5.2%5.2 \%, compounded quarterly. Assuming that no withdrawals are made, find the total amount after 5 years.
Do not round any intermediate computations, and round your answer to the nearest cent.

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Problem 7032

A cylindrical can, open at the top, is to hold 410 cm3410 \mathrm{~cm}^{3} of liquid. Find the height and radius that minimize the amount of material needed to manufacture the can. Enter your answer with rational exponents, and use pi to represent π\pi.
Radius == \square Height = \square

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Problem 7033

A salesperson at a jewelry store eams 4%4 \% commission each week. Last week, Heidi sold $450\$ 450 worth of jewelry. How much did she make in commission? How much did the jewelry store make from sales?
Heldi earned \ \square$ in commission.

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Problem 7034

1 Points] DETAILS MY NOTES SCALCCC5 4.6.059.MI. PRACTICE ANOTHER
An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 10 km east of the refinery. The cost of laying pipe is $200,000/km\$ 200,000 / \mathrm{km} over land to a point PP on the north bank and $400,000/km\$ 400,000 / \mathrm{km} under the river to the tanks. To minimize the cost of the pipeline, how far (in km) from the refinery should PP be located? (Round your answer to two decimal places.) \qquad km Need Help? Read It Master It Submit Answer

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Problem 7035

Part 1 of 2 Points: 0 of 1 Save
Find the distance between the pair of points. Give an exact answer and a three-decimal-place approximation. (0,25) and (32,0)(0,-2 \sqrt{5}) \text { and }(3 \sqrt{2}, 0)

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Problem 7036

Guidelines for the amount of supplementary nitrogen needed to grow winter wheat depend on the amount of nitrogen in the soil (as determined by a soil test), the price of fertilizer, and the price of wheat at harvest. Suppose the soil on a particular farm has a nitrogen content of 2 ppm (parts per million) and 50 acres will be planted in winter wheat. Consider two pricing scenarios.
Case A: The price of fertilizer is $0.20/lb\$ 0.20 / \mathrm{lb}, the price of wheat is $3.50/bushel\$ 3.50 / \mathrm{bushel}, and the expected yield is 60 bushels/acre. Case B: The price of fertilizer is $0.45/lb\$ 0.45 / \mathrm{lb}, the price of wheat is $5.50/\$ 5.50 / bushel, and the expected yield is 40 bushels/acre. In Case A, the guidelines recommend adding 90 pounds of nitrogen per acre, and in Case B, 70 pounds of nitrogen per acre. Assuming all other factors are equal, comput and compare the net profits (income minus expenses) for the two scenarios.
Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to the nearest whole number as needed.) A. The net profit of Case AA is $\$ \square which is less than the net profit of $\$ \square in Case B. B. The net profit of Case A is $\$ \qquad which is the same as the net profit in Case B. C. The net profit of Case A is $\$ \square which is greater than the net profit of $\$ \square in Case B.

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Problem 7037

17. The area of a rectangular enclosure is given by the function, A(x)=5x2+150xA(x)=-5 x^{2}+150 x, where xx is the width. in meters. What is the width that will produce the maximum area? A) 5 m B) 15 m C) 150 m D) 30 m

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Problem 7038

According to the video, how many nanoseconds are in a millisecond?
Choose the correct answer below. A. 1,000,0001,000,000 B. 1,000 C. 100,000 D. 10,000

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Problem 7039

Watch Video Show Examples
Rashaad is the youngest of three siblings whose ages are consecutive odd integers. If the sum of their ages is 63, find Rashaad's age.
Answer Attempt 1 out of 2 Submit Answer

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Problem 7040

A free throw shooter has an average of making 68%68 \% of his free throws. If he throws 50 practice free throws. (HINT: use the binomlaldist function in the calculator) What is the probability that he will make between 25 and 40 of the shots? type your answer.
What is the probability that he will make at least 40 shots? type your answer_
What is the probability that he will make 30 of the shots? type your answer-

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Problem 7041

Video
Four friends went on a road trip and kept track of how long each of them spent driving. Road trip driving times
The friends spent a total of 840 minutes driving. How much longer did Emilia spend driving than Camille?

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Problem 7042

orem, 17.8 .29 Points: 0 of 1 Save
Use the Divergence Theorem to compute the net outward flux of the vector field F=x2,y2,z2F=\left\langle x^{2},-y^{2}, z^{2}\right\rangle across the boundary of the region DD, where DD is the region in the first octant between the planes z=6xyz=6-x-y and z=3xyz=3-x-y.
The net outward flux is \square . (Type an exact answer, using π\pi as needed.)

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Problem 7043

gum. It a piece of regular gum condantes 40 caloniles, beow many culories clues a piece of sugetree gom oneant?

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Problem 7044

A sample tested the claim that heights of men and heights of women have difference variances, with s=7.47394 cm\mathrm{s}=7.47394 \mathrm{~cm} for women and 7.11392 cm for men. The sample sizes are n1=142n_{1}=142 and n2=157n_{2}=157. When using the FF test with these data, is it correct to reason that there is no need to check for normality because n1>30n_{1}>30 and n2>30n_{2}>30 ?
Choose the correct answer below. A. Yes. The F test has a requirement that samples be from normally distributed populations, but this requirement can be ignored for large samples ( n1n_{1} and n2n_{2} greater than 30). B. No. The F test has a requirement that samples be from normally distributed populations, regardless of how large the samples are. C. No. There is no need to check for normality regardless of the sample size. There is no normality requirement for the F test. D. No. There is no need to check for normality as long as n110n_{1} \geq 10 and n210n_{2} \geq 10.

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Problem 7045

9. [-/4 Points] DETAILS MY NOTES COHENPCALC7 7.3.016.
Evaluate each expression using the method shown in Examples 1-4. (Enter your answers in exact form.) (a) cos(2π/3)\cos (2 \pi / 3) \square (b) cos(2π/3)\cos (-2 \pi / 3) \square (c) sin(2π/3)\sin (2 \pi / 3) \square (d) sin(2π/3)\sin (-2 \pi / 3) \square Need Help? Read It Submit Answer

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Problem 7046

A sample of 400 adults were surveyed on their health. 89 of those studied have high blood pressure, yet 112 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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Problem 7047

A company has the following assets and liabilities, in thousands of dollars Inventory - \196,NotesPayable$308,MortgagesPayable$224,AccountsPayable$56,LongtermNotesPayable196, Notes Payable - \$308, Mortgages Payable - \$224, Accounts Payable - \$56, Long - term Notes Payable - \84 84
The total assets of the company are $2016\$ 2016 (Express the amount in thousands of dollars.) The total liabilities of the company are $\$ \square. (Express the amount in thousands of dollars.)

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Problem 7048

An experiment is performed where a 4-color spinner is spun and then a 3-color spinner is spun. The possible outcomes for each event are red (R), blue (B), yellow ( Y ), and green (G)(G) for the 4-color spinner and red (R), blue (B), and yellow (V)(V) for the 3-color spinner. Identify the sample space for this experiment.

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Problem 7049

Exercice 1: 1) Déterminer l'ensemble de définition et éventuellement la parité des fonctions suivantes: ln(xx21)2sin(x)+sin(2x)xx22 uler les limites suivantes si plles existent. \begin{array}{l} \ln \left(x-\sqrt{x^{2}-1}\right)|2 \sin (x)+\sin (2 x)| \frac{x}{\sqrt{x^{2}-2}} \\ \text { uler les limites suivantes si plles existent. } \end{array} 2) Caiculer les limites suivantes si elles existent :  (4) limxx23x+1xlimx0x1+x21+x,limx4x23x4x216,limx2xx22,limx1x1x1limx(x1)ln(x21),limx0x2e1x2,\begin{aligned} \text { (4) } & \lim _{x \rightarrow \infty} \sqrt{x^{2}-3 x+1}-x \\ \lim _{x \rightarrow 0} \frac{x}{\sqrt{1+x^{2}}-\sqrt{1+x}}, & \lim _{x \rightarrow 4} \frac{x^{2}-3 x-4}{x^{2}-16}, \\ \lim _{x \rightarrow 2} \frac{x}{\sqrt{x^{2}-2}}, & \lim _{x \rightarrow 1} \frac{\sqrt{x}-1}{x-1} \\ \lim _{x \rightarrow-\infty}(x-1) \ln \left(x^{2}-1\right), & \lim _{x \rightarrow 0} x^{-2} e^{-\frac{1}{x^{2}}}, \end{aligned}
Exercice 2 : Déterminer les valeurs de aa et bb pour que la fonction ff definie par f(x)={x2+x+b si x<2a si x=2bx2+2x+5 si x>2f(x)=\left\{\begin{array}{cc} x^{2}+x+b & \text { si } x<2 \\ a & \text { si } x=2 \\ b x^{2}+2 x+5 & \text { si } x>2 \end{array}\right.
Soit continue sur R\mathbb{R}. Exercice 3 : Etudier l'existence des solutions pour les équations suivantes: x3+7x5=0 sur [0,1],(x+12)ex2=0 sur [1,0]-x^{3}+7 x-5=0 \text { sur }[0,1],\left(x+\frac{1}{2}\right) e^{-x^{2}}=0 \text { sur }[-1,0]
Exercice 4 : On considère la fonction ff de R\mathbb{R} dans R\mathbb{R} définie par: f(x)={sin(x)x si x<01 si x=0x2+1 si x>0f(x)=\left\{\begin{array}{ll} \frac{\sin (x)}{x} & \text { si } x<0 \\ 1 & \text { si } x=0 \\ x^{2}+1 & \text { si } x>0 \end{array}\right. (1. La fonction est-elle continue sur R? (2. Déterminer l'ensemble des points où ff est dérivable?
3. C-iculer la dérivée de ff aux points xx où elle est dérivable ?

Exercice 5 : Calculer lorsqu'elles existent les dérivées des fonctions suivantes: f(x)=ln(3+sin(x)),g(x)=xe2x+3,h(x)=tan(2x),I(x)=ln(1+x2)f(x)=\ln (3+\sin (x)), g(x)=x e^{2 x+3}, h(x)=\tan (2 x), I(x)=\ln \left(\sqrt{1+x^{2}}\right)

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Problem 7050

Listen
Decide whether there is enough information to prove that WXZYZX\triangle W X Z \simeq \triangle Y Z X using the SAS Congruence Theorem. Explain your reasoning, yes; Because ZWXY,WY\overline{Z W} \simeq \overline{X Y}, \angle W \simeq \angle Y, and WXYZ\overline{W X} \simeq \overline{Y Z}, the two triangles are congruent by the SAS Congruence Theorem. yes; Because ZWXY,WY\overline{Z W} \simeq \overline{X Y}, \angle W \simeq \angle Y, and ZXXZ\overline{Z X} \simeq \overline{X Z}, the two triangles are congruent by the SAS Congruence Theorem. no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruent sides. no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the included angles.

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Problem 7051

When making an ice cream sundae, you have a choice of 2 types of ice cream flavors: chocolate ( CC ) or vanilla (V): a choice of 4 types of sauces: hot fudge (H), butterscotch (B), strawberry (S), or peanut butter (P); and a choice of 3 types of toppings: whipped cream (W), fruit (F), or nuts ( N ). If you are choosing only one of each, list the sample space in regard to the sundaes (combinations of ice cream flavors, sauces, and toppings) you could pick from.

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Problem 7052

When making an ice cream sundae, you have a choice of 2 types of ice cream flavors; chocolate (C) or vanilla (V); a choice of 4 types of sauces: hot fudge ( HH ), butterscotch (B), strawberry (S), or peanut butter (P); and a choice of 3 types of toppings; whipped cream (W), fruit (F), or nuts ( N ). If you are choosing only one of each, list the sample space in regard to the sundaes (combinations of ice cream flavors, sauces, and toppings) you could pick from.

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Problem 7053

Question 6
Given p(r)=log4.3(r+5.5)+0.1p(r)=\log _{4.3}(r+5.5)+0.1
The 3 starting points you would use would be: Round answers to 4 decimal places as needed.
The "new origin" would be at \square \square - pp would have a vertical asymptote of \square r=5.5r=-5.5 Type your answer as an equation. For example, if the horizontal asymptote is at 3 , then type y=3y=3. If the vertical asymptote is at 5 , type r=5r=5.
The three points you would graph would be: \square Round answers to 4 decimal places as needed. Submit Question

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Problem 7054

2. Explain why multiplying the numbers in each expression gives us the area of the rectangle.

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Problem 7055

Chapter Review
1. List all the factors of the number.

14: \qquad
2. Select the numbers that are a factor of 12 Mark all that apply (A) 12

D 2 B 24 E 3 (C) 6 (F) 7

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Problem 7056

Correct
Carter has 213 songs on a playlist. He's categorized them in the following manner: 11 gospel, 28 pop, 36 rock, 19 classical, 23 country, 43 folk, and 53 jazz. If Carter begins listening to his playlist on shuffle, what is the probability that the first song played is a pop song? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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Problem 7057

11. If KM=2mMK_{\mathrm{M}}=2 \mathrm{mM}, and vo=100μ mol/(mLs)v_{o}=100 \mu \mathrm{~mol} /(\mathrm{mL} \cdot \mathrm{s}) when [ S]=2mM]=2 \mathrm{mM}, what is the velocity, vov_{\mathrm{o}}, for the reaction when [S]=18mM[\mathrm{S}]=18 \mathrm{mM} ? 5

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Problem 7058

2. A) Usando el método de los coeficientes indeterminados, hallar T(x)T(x) de tercer grado sabiendo que T(2)=140T(-2)=-140, que T(0)=18T(0)=-18, que una de sus raíces es x=3x=3, y que el coeficiente principal de T(x)T(x) es 5 .

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Problem 7059

A scaffold of mass 64 kg and length 7.9 m is supported in a horizontal position by a vertical cable at each end. A window washer of mass 88 kg stands at a point 2.8 m from one end. What is the tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable? (a) Number
Units \square (b) Number \square Units \square

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Problem 7060

(Algebra 1, Unit 2, Lesson 2) Kiran's family is having people over to watch a football game. They plan to serve sparkling water and pretzels. They are preparing 12 ounces of sparkling water and 3 ounces of pretzels per person. Including Kiran's family, there will be 10 people at the gathering.
A bottle of sparkling water contains 22 ounces and costs $1.50\$ 1.50. A package of pretzels contains 16 ounces and costs $2.99\$ 2.99. Let nn represent number of people watching the football game, ss represent the ounces of sparkling water, pp represent the ounces of pretzels, and bb represent Kiran's budget in dollars. Which equation best represents Kiran's budget?
Select the correct choice. (A) 12s+3p=b12 s+3 p=b (B) 1210+310=b12 \cdot 10+3 \cdot 10=b (C) 1.50s+2.99p=b1.50 s+2.99 p=b (D) 1.506+2.992=b1.50 \cdot 6+2.99 \cdot 2=b

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Problem 7061

B Alg1.2.4 Practice B (Algebra 1, Unit 2, Lesson 2) The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds. Let the speed. SS, be measured in feet per second. Write an equation to represent the relationship between the three quantities (speed, distance, and time). Type the answer in the box below.

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Problem 7062

The United States Postal Service charges $0.55\$ 0.55 to mail a first-class letter that weighs up to 1 . ounce. Each additional ounce costs $0.15\$ 0.15. Which equation represents the situation? y=0.15x10.5y=0.15\lfloor x-1\rfloor 0.5 y=0.55x1+0.15y=0.55\lfloor x-1\rfloor+0.15 y=0.55x+0.15y=0.55\lfloor x\rfloor+0.15 y=0.15x+0.55y=0.15\lfloor x\rfloor+0.55

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Problem 7063

1. Let tt : Green Day is on tour. rr : Green Day is recording a new CDC D.
Nrite in symbolic form: 3 points each a)Green Day is not on tour, but Green Day is recording a new CD. b) Green Day is not recording a new CD and Green Day is on tour.
2. Let p: Maria will go to the circus. q: Maria will go to the zoo. Write in symbolic form: a) Maria will go to the zoo or Maria will not go to the circus. b) Maria will not go to the circus or Maria will not go to the zoo.
3. Let pp : The portrait is a pastel. qq : The portrait is by Beth Anderson.

Write the following statements symbolically. a) If the portrait is a pastel, then the portrait is by Beth Anderson. b) If the portrait is by Beth Anderson, then the portrait is not a pastel.
Write Equivalent statements. a) If today is Thanksgiving, then tomorrow is Friday. b) I do not pay taxes and I vote. c) A person had cake or they had ice cream.

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Problem 7064

Problem Situation: Alec buys tickets to an amusement park. He buys one adult ticket for $45\$ 45 and four youth tickets. He pays a total of $137\$ 137. What is the cost of a youth ticket? Complete the equation to represent this situation. The letter tt represents the cost of a youth ticket. CLEAR CHECK \square t+45=t+45= \square

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Problem 7065

Lesson 6-4 HW Name: Date: 11/25/2024
Question 1
Helmut is making a mosaic with a total of 290 blue tiles and green tiles. He chooses these number of tiles in three shades of green: 68, 64, and 72 . How many blue tiles does he need to finish his mosaic?
Blue tiles

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Problem 7066

Curated Practice Problem Set son 12 Cumulative Practice Problems ic store marks up the instruments it sells by 30%30 \%. If the store bought a guitar for $45\$ 45, what will be its store price?

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Problem 7067

I'm sorry, but I can't assist with that request.

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Problem 7068

Problem Situation: Ike has $126\$ 126 in his bank account. He gets $20\$ 20 for his birthday. He also has a part-time job that pays $8\$ 8 per hour. How many hours will he need to work to have $250\$ 250 in his bank account?
Choose the equation that correctly models the situation. The letter hh represents the hours lke will need to work. CleAR CHECK (250126)h=20+8126+20+8h=250250+126+20+8+250=h120+8h\begin{array}{lc} (250-126) h=20+8 & \\ & \\ 126+20+8 h=250 & \\ 250+126+20+8+250=h \\ 120+8 h \end{array}

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Problem 7069

A dice game involves rolling 2 dice. If you roll a 2,3,4,10,112,3,4,10,11, or 12 you win $5\$ 5. If you roll a 5,6,7,85,6,7,8, or 9 you lose $5\$ 5. Find the expected value you win (or lose) per game.
What is the expected value of this game? \ \square$ type your answer.(include the negative if needed here)
Is this a fair game? \square type your answer...

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Problem 7070

Martha is buying a house that sells for $159,000\$ 159,000. The bank is requiring a minimum down payment of 10%10 \%. To obtain a 35 -year mortgage at 9.0%9.0 \% interest, she must pay 2 points at the time of closing. a) Determine the required down payment. b) Determine the amount of the mortgage on the property with the 10%10 \% down payment. c) Find the cost of 2 points on the mortgage. a) The required down payment is $\$ \square . b) The mortgage on the property is $\$ \square \square. c) The cost of the 2 points on the mortgage is $\$ \square . (Round to the nearest dollar as needed.)

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Problem 7071

Question 2 Mari harvests 374 pounds of potatoes and carrots from her garden. She has 13 bask of potatoes that each weighed 24 pounds and 2 baskets of carrots. How many poun of carrots are in each sasket? A. 337 pounds B. 112 pounds C. 35 pounds D. 31 pounds 374 P ta

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Problem 7072

5. Cameron and Cadena go out to eat for lunch. Part A If their food and beverages cost $22.50\$ 22.50 and there is a 9\% meals tax, how much is the bill? Write your answer to the nearest cent.
Part B After adding a tip, the total lunch cost was \$28.95. What percentage tip did they give? Enter your answer to the nearest percentage.

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Problem 7073

A large data set includes samples of body temperatures. Analyzing one sample of body temperatures results in n=103,xˉ=98.19Fn=103, \bar{x}=98.19^{\circ} \mathrm{F}, and s=0.617F\mathrm{s}=0.617^{\circ} \mathrm{F}. It is commonly believed that humans have a mean body temperature of 98.6F98.6^{\circ} \mathrm{F}. If the analysis is repeated with a different sample and it is found that for 100 randomly generated samples, 38 of these generated samples have a mean that is as extreme as the mean of the actual sample, what should be concluded about the assumed mean of 98.6F98.6^{\circ} \mathrm{F} ? (Assume that an event is significant if it has a probability of 0.05 or less.)
Since 38 of the 100 samples have means that are as much as the sample mean, then that sample mean \square so there \square strong evidence against the assumed mean of 98.6F98.6^{\circ} \mathrm{F}. It appears the population mean \square 98.6F98.6^{\circ} \mathrm{F}

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Problem 7074

3. One gallon is equal to about 3.785 liters. What is this amount rounded to the nearest tenth? to the nearest hundredth? Show your work.
Solution Look at problem 3. What is the greatest number of whole liters of water you coul pour into a one-gallon container without it overflowing? Explain your answer.

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Problem 7075

2 From January to September, the mean number of car accidents in a city per month was 420. From October to December, the mean was 740 accidents per month. Find the mean number of car accidents per month for the whole year.

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Problem 7076

Spiral Review
Represent the set of numbers as decimals on the number line. 4.NF.6
34. {5310,5110,5}\left\{5 \frac{3}{10}, 5 \frac{1}{10}, 5\right\}
35. {3110,2710,2910}\left\{3 \frac{1}{10}, 2 \frac{7}{10}, 2 \frac{9}{10}\right\}

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Problem 7077

An elementary school teacher with 25 students plans to have each of them make a poster about two different states. The teacher first numbers the states 01 to 50), then uses a random number table to decide which states each kid gets. The random digits are 15863019304378721208. a) Which two state numbers does the first student get? b) Which two state numbers go to the second student?

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Problem 7078

12. In addition to her salary, Ms. Lopez earns a 3\% commission, or fee paid based on a percent of her sales, on every vacation package that she sells. One day, she sold the three vacation packages shown. Fill in the table for each packages' commission. \begin{tabular}{|c|c|c|} \hline Package & Sale Price & Commission \\ \hline \#1 & $2,375\$ 2,375 & \\ \hline \#2 & $3,950\$ 3,950 & \\ \hline \#3 & $1,725\$ 1,725 & \\ \hline \end{tabular}
What was her total commission?

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Problem 7079

If $4,500.00\$ 4,500.00 is placed into an account earning 2.8%2.8 \% interest compounded amually. how long will it take for the amount in the account to double? Round to one decimal.

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Problem 7080

Part C: The basketballs Noah packed had two different prices. Of the total number of basketballs sold, 60%60 \% had a price that was $21\$ 21 more than the price of the remaining basketballs. The total amount of the store's sales for all the basketballs was $8,967\$ 8,967. What was the price for one of the more expensive basketballs? Enter answer here:

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Problem 7081

6 A 6B 6 C 6D 6E6 E 6F 6 G 6H 61 6 J 6 K 6L
The taxi journey had an initial charge of £4£ 4 plus a cost of £2£ 2 for every kilometre travelled. a) Chloe says they should split the total cost in the same ratio as the distance each person travelled. If they did this, how much would they each pay? b) Nadia says they should split the initial charge equally and then split the rest of the cost in the same ratio as the distance each person travelled. If they did this, how much would they each pay? c) Chloe then says that she should pay nothing because the taxi was passing her house on the way to Nadia's house. Do you agree with this? Write a sentence to explain your answer.
Nadia's house
12 km Previous Watch video Answer

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Problem 7082

Marco bought 4 bags of fruit. Each bag has 3 melons and 2 pineapples in it. How many pieces of fruit did Marco buy altogether?
Show your work. Write an answer sentence.

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Problem 7083

|Dete fersiat 1 NHats
19 Buying Granola page 1 of? Gramela crus sof for 3 promils. \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline \multirow[t]{3}{*}{ex} & \multirow[t]{3}{*}{\begin{tabular}{l} Price \\ Nounds \end{tabular}} & & & 120 & \multirow[t]{3}{*}{11} & \multicolumn{3}{|r|}{\multirow[t]{3}{*}{41320}} \\ \hline & & So & $12\$ 12 & & & & & \\ \hline & & 5 & 10 & I & & & & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|l|l|l|l|} \hline Price & 56 & & & & \\ \hline Pounds & 5 & & & & & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|l|l|l|l|} \hline Price & $6\$ 6 & & & & \\ \hline Pounds & 5 & & & & & \\ \hline \end{tabular} \qquad pounds cost \qquad \begin{tabular}{|l|l|l|l|l|l|l|} \hline Price & 56 & & & & & \\ \hline Pounds & 5 & & & & & \\ \hline \end{tabular} \qquad pounds cost \qquad \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline Price & $6\$ 6 & & & & \\ \hline Pounds & 5 & & & & & \\ \hline \end{tabular} \qquad pounds cost \qquad - \begin{tabular}{|l|l|l|l|l|l|l|} \hline Price & $6\$ 6 & & & & & \\ \hline Pounds & 5 & & & & & \\ \hline \end{tabular} pounds cost \qquad Price Pour Bridges in Mathematics Grade 5 Student Book (continued on next page) (mathesmangenterorg

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Problem 7084

MP. 6 Be Precise Perry counted 8 leaves on each of 9 tree branches. Write a multiplication equation to find how many leaves there are in all. Then use the Commutative Property to find how many leaves there are on 8 tree branches that each have 9 leaves.

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Problem 7085

1. Two students both solved the equation 4(x0.5)=6-4(x-0.5)=6 incorrectly. The work of each student is shown.
Student A's Work: 4(x0.5)=6-4(x-0.5)=6
Step 1: 4x2=6-4 x-2=6 Step 2: 4x=8-4 x=8 Step 3: x=2x=-2 Student B's Work: 4(x0.5)=6-4(x-0.5)=6
Step 1: 4x+2=6-4 x+2=6 Step 2: 4x=8-4 x=8 Step 3: x=2x=-2 In which step of their work did Student A and Student B make their first mistake? A Student A made their first mistake in Step 1 and Student B made their first mistake in Step 1. B Student A made their first mistake in Step 1 and Student B made their first mistake in Step 2. C Student A made their first mistake in Step 2 and Student B made their first mistake in Step 1. D Student A made their first mistake in Step 2 and Student B made their first mistake in Step 2

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Problem 7086

ner Order Thinking Judy is a dog walker. Some days she walks 4 dogs. Other days she walks 6 dogs. Including Judy's legs, how many legs could be in the group when Judy walks the dogs? Explain how you found the answer.

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Problem 7087

We want to construct a box whose base length is 3 times the base width. The material used to bui and bottom cost $10/ft2\$ 10 / \mathrm{ft}^{2} and the material used to build the sides cost $6/ft2\$ 6 / \mathrm{ft}^{2}. If the box must have a of 50ft350 \mathrm{ft}^{3} determine the dimensions that will minimize the cost to build the box.

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Problem 7088

1. A student will buy packs of AA batteries, packs of AAA batteries, and 1 pack of CC batteries. - The student will buy the same number of packs of AA and AAA batteries. - Each pack of AA batteries costs \10.EachpackofAAAbatteriescosts$5.Thepackof10. - Each pack of AAA batteries costs \$5. - The pack of \mathbf{C}batteriescosts batteries costs \18 18. - The student will spend a total of $108\$ 108.
Which equations can be used to determine xx, the number of packs of each of AA batteries and AAA batteries the student will buy? Select all that apply. A. 15x=9015 x=90 B. 23x=9823 x=98 C. 33x=10833 x=108 D. 10+(5+18)x=10810+(5+18) x=108 E. (10+5)x+18=108(10+5) x+18=108 F. (10+5+18)x=108\quad(10+5+18) x=108

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Problem 7089

Write a multiplication story for 4×94 \times 9. Then find the product.

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Problem 7090

On a record player, the centre of the record sits 22 cm from the base of the arm. There is a scratch on the record directly below the arm, 9 cm from the centre.
Consider the periodic function f where x represents time in seconds and yy represents the distance between the scratch and the base of the arm.
Given that it takes one second for the record to make a full revolution, sketch one cycle of this function.

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Problem 7091

The half-life of Radium-226 is 1590 years. What is the annual decay rate? Express the decimal result to seven decimal places and the percentage to five decimal places. r=r= \square The decay rate is \square \% per year.
Question Help: Written Example Submit Question

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Problem 7092

Point U is on line segment TV\overline{T V}. Given TU=4,UV=5xT U=4, U V=5 x, and TV=3x+6T V=3 x+6, determine the numerical length of TV\overline{T V}.

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Problem 7093

Problem their of designer sneakers was purchased for $120\$ 120. Since they were purchased, heir price has increased by 15%15 \%. What is the new price?
2. Elena's aunt bought her a $150\$ 150 savings bond when she was born. When Elena is 20 years old, the bond will have earned 105%105 \% in interest. How much will the bond be worth when Elena is 20 years old?
3. In a video game, Clare scored 50%50 \% more points than Tyler. If cc is the number of points that Clare scored and tt is the number of points that Tyler scored, which equations are correct? Select all that apply. A. c=1.5t\quad c=1.5 t B. c=t+0.5c=t+0.5 C. c=t+0.5tc=t+0.5 t D. c=t+50c=t+50 E. c=(1+0.5)t\quad c=(1+0.5) t
4. from Unit 4, Lesson 6

Draw a diagram to represent each situation: a. The number of miles driven this month was a 30%30 \% decrease of the number of miles driven last month.

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Problem 7094

Sam made 23\frac{2}{3} liter of punch and 34\frac{3}{4} liter of tea to take to a party. How many fiters of beverages did Sam bring to the party?

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Problem 7095

Which statement is correct about simulation? It cannot be used when there is uncertainty in parameters it can only deal with discrete random variables It gives the exact optimal solution It is not used when an analytical solution is available

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Problem 7096

Mr. Sinofsky used 58\frac{5}{8} of a tank of gas ah a thip to visit relative or the weekend and another 1 half of a tank commuting to ork the next week. He then took another-weekend trip a ed 11\frac{1}{-1} tank of gas. How many tanks of gas did Mr. Sinotsk e altogether?

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Problem 7097

A wooden artifact from an archeological dig contains 73 percent of the carbon-14 that is present in living trees. To the nearest year, about how many years old is the artifact? (The half-life of carbon14 is 5730 years.)
The artifact is \square years old. Enter an integer or decimal number [more.] Question Help: Written Example Submit Question

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Problem 7098

7 Fill in the Blank 2 points
Question 4 The area covered by a lake is 11 square kilometers. It is decreasing exponentially at a rate of 2 percent each year and can be modeled by A(t)=11(0.98)tA(t)=11 \cdot(0.98)^{t}. a. By what factor does the area decrease in 10 years? type your answer... \square b. By what factor does the area decrease each month? \square type your answer...
Instructions Use the following information to answer questions 8 - 10.

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Problem 7099

For the following exercises, use this scenario: A pot of hot soup with an internal temperature of 9696^{\circ} Fahrenheit was taken off the stove to cool in a 74Froom74^{\circ} \mathrm{Froom}. After fifteen minutes, the internal temperature of the soup was 91F91^{\circ} \mathrm{F}. Use Newton's Law of Cooling to write a formula that models this situation. Round to 5 decimal places if necessary T(t)=T(t)=
To the nearest minute, how long will it take the soup to cool to 80F80^{\circ} \mathrm{F} ? \square minutes.
To the nearest degree, what will the temperature be after 2 and a half hours? \qquad F{ }^{\circ} \mathrm{F} Question Help: Written Example Submit Question

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Problem 7100

Take the Laplace transform of the following initial value problem and solve for Y(s)=L{y(t)}Y(s)=\mathcal{L}\{y(t)\} : Y(s)=.y4y21y={1,0t<10,1ty(0)=0,y(0)=0Y(s)=\square . \quad y^{\prime \prime}-4 y^{\prime}-21 y=\left\{\begin{array}{ll} 1, & 0 \leq t<1 \\ 0, & 1 \leq t \end{array} \quad y(0)=0, y^{\prime}(0)=0\right. \square Now find the inverse transform to find y(t)=y(t)= \square (Use step(t-c) for uc(t)u_{c}(t) ). Note: 1s(s7)(s+3)=121s+130s+3+170s7\frac{1}{s(s-7)(s+3)}=\frac{-\frac{1}{21}}{s}+\frac{\frac{1}{30}}{s+3}+\frac{\frac{1}{70}}{s-7}

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