Word Problem

Problem 11201

A cylindrical water heater has a total surface area of 4170 in $^{2}$ . If the height of the water heater is 89 in., find the radius. Use $\pi=3.14$ .
The radius of a cylindrical water heater is $\square$ (Round to the nearest inch.)

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Problem 11202

A random sample of 1024 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1024 adults surveyed, 522 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2).
(a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. $p =$ (Round to three decimal places as needed.)
(b) Verify that the requirements for constructing a confidence interval about $p$ are satisfied. The sample a simple random sample, the value of is , which is less than or equal to 5% of the . $\cdot 10$ , and the (Round to three decimal places as needed.)
(c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) A. We are % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between and . B. There is a % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between and .
(d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely? It is that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval . (Type an integer or a decimal. Do not round.)
(e) Use the results of part (c) to construct a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a necessity. Lower bound: Upper bound: (Round to three decimal places as needed.)

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Problem 11203

1. Round each decimal number to the nearest whole number. a. $9.7 \rightarrow 10$ b. $16.45 = 16$ c. $25.3$

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Problem 11204

2 Round each decimal number to the nearest tenth. a $1.65$ b $0.31$ c $8.07$

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Problem 11205

3 CHALLENGE Round each decimal number to the nearest hundredth. a $0.351$ b $0.289$ c $3.016$

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Problem 11206

$\text{Write a formula for the general term (the nth term) of the arithmetic sequence } 5, 2, -1, -4. \text{ Then use the formula for } a_n \text{ to find } a_{20}.$

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Problem 11207

Choose ALL answers that describe the quadrilateral $A B C D$ if $\angle A \cong \angle C, \angle B \cong \angle D$ , and diagonals are perpendicular: $\overline{A C} \perp \overline{B D}$ .
Answer Attempt 1 out of 2 Parallelogram Rectangle Rhombus Square Trapezoid

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Problem 11208

8 Underline the incomplete sentences in the paragraph The Star-Spangled Banner by poet Francis Scott Key in 1814. Key wrote the poem after witnessing an important battle during the War of 1812. The poem was put to music and gained popularity over the years. Didn't become the national anthem until 1931.

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Problem 11209

Read the description of a proportional relationship.
Choc-Arcade has Gina's two favorite things: a chocolate shop and an arcade! Not only that, but Choc-Arcade's loyalty program rewards Gina with free game tokens every time she buys chocolates. There is a proportional relationship between the number of chocolates Gina buys, $x$ , and the number of free game tokens she gets, $y$ .
The equation that models this relationship is $y = 4x$ .
How many free game tokens does Gina get if she buys 3 chocolates? Write your answer as a whole number or decimal.
tokens

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Problem 11210

A client asked Brody to design a rectangular garden with an area of 38 square feet. Area of a rectangle is its length times its width.
The client also requested that the length of the garden be two feet less than seven times the width. Find the length and width of the garden. Round your answers to three decimal places. The length of the garden should be $\square$ feet, and the width should be $\square$ feet.

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Problem 11211

Breaking News Report Shortly after Thanksgiving, a large number of mysterious cone-shaped structures (some are calling them megaliths) started appearing across the country. They're mostly green with various shiny bits dotting their surfaces. Many people encountering them report feelings of peace and good will. (Editors Note: since this report's first publishing, a few people have taken to tweet-tokbook to vociferously report that their encounters with the objects led to feelings of disdain or an overwhelming sense of being attacked - feelings they can easily recognize because they unfortunately experience them so very often, despite rarely putting down their smartphones.)
One of these structures of particular interest is located on a plateau in the mountains outside Asheville, North Carolina. This one is peculiar because, for some reason, surrounding forest matter is apparently being attracted to the structure (perhaps by something akin to magnetism, the scientists are not sure). Due to fancy NASA scanning equipment normally housed at an observatory near the North Pole, they can tell that the structure is maintaining an almost perfectly conical shape as material accumulates on its surface. They can also tell that the volume $V$ of the structure is increasing at the constant rate of $56\pi$ cubic feet per hour. At the instant when the radius $r$ of the megalith was 12 feet, its volume was $288\pi$ cubic feet and its radius was increasing at $\frac{1}{2}$ ft./hr. As of last report, the structure is still growing.
(a) At the instant when the radius of the megalith was 12 feet, what was the rate of change of the area of its circular base (with respect to time)? 12Pi (ft^2)/hr
(b) At the same instant, what was the rate of change of its height $h$ (with respect to time)? Number Units Section Attempt 1 of 4 Verify

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Problem 11212

A blogger earns $R(x)=9 x+0.029 x^{2}$ in revenue, where $x$ is the number of subscribers, and has a cost of $C(x)=2000+8 x$ .
Let $P(x)$ be the profit when there are $x$ subsribers. Write a function giving the blogger's profit when there are $x$ subscribers. $P(x)=$ $\square$
The blogger needs at least $\square$ subscribers to break even.

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Problem 11213

5. The Seesaw Valley basketball team did not record how many baskets each player made, but Jenny remembers that she made three times as many baskets as Gracie. Alexis knows that she made six more baskets than Gracie. Joan thinks that she made 4 fewer baskets than Gracie. Tammy is sure that she made the same number of baskets as Joan. Altogether the five player made 40 baskets. How many baskets did each player make?

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Problem 11214

4. This is a question about international law. If an international jetliner took off from San Francisco and headed for Montreal, Canada but ran into bad weather and crashed exactly on the U.S.-Canadian border, where would they be required by law to bury the survivors - in the U.S., in Canada, or on the border?

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Problem 11215

Question Watch Video Show Examples
Paisley's cab company charges a one-time pickup fee of $\$ 3$ for every ride, as well as a $\$ 3$ charge for each mile traveled. Find the rate of change.
Answer Attemptiout of 4 \\square$ per mile Submit Answer

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Problem 11216

What mass of NaCl are dissolved in 152 mL of a solution if the concentration of the solution is $0.364$ M? $3.24$ g of NaCl will be required

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Problem 11217

7. You have $\$40$ . You wish to buy a T-shirt that costs $\$14.50$ and a pair of jeans that cost $\$23.95$ . There is a 5% sales tax on clothing. Do you have enough money to pay for both?

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Problem 11218

Sales representatives at a car dealership were split into two groups. One group used an aggressive approach to sell a customer a new automobile. The other group used a passive approach. The following table summarizes the records for 657 customers. If one of these customers is selected at random, determine the probability that the passive approach was used. \begin{tabular}{|l|c|c|c|} \hline Approach & Sale & No Sale & Total \\ \hline Aggressive & 110 & 249 & 359 \\ Passive & 212 & 86 & 298 \\ \hline Total & 322 & 335 & 657 \\ \hline \end{tabular}
The probability that the passive approach was used is $\square$ (Type an integer or a simplified fraction.)

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Problem 11219

The operations manager of a company that manufactures tires wants to determine whether there are any differences in the quality of work among the three daily shifts. She randomly selects 300 tires and carefully inspects them. Each tire is either classified as perfect, satisfactory, or defective, and the shift that produced it is also recorded. The two categorical variables of interest are "shift" and "condition of the tire produced". The p-value of the Chi-Squared test of independence is $0.073$ . Does the data provide sufficient evidence at the $5\%$ significance level to infer that there are differences in quality among the three shifts?
No, the manager cannot conclude that there are differences in quality among the three shifts.
Yes, the manager can conclude that there are differences in quality among the three shifts.
The p-value is too close to $5\%$ , so this is a borderline case. The manager needs to inspect more tires to be able to make a conclusion.

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Problem 11220

For each expression, estimate to decide whether the sum is closer to 400 or 500.
Closer to 400 Closer to 500 $311+198$ $203+200$

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Problem 11221

kam Question 12 of 22
This test: 22 point(s) possible This question: 1 point(s) possible Submit test
A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 4 hours, while the outlet pipe can empty it in 10 hours. How long will it take to fill the vat if both pipes are left open?
It will take $\square$ hours. (Simplify yournanswer. Do not round.)

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Problem 11222

A container of fuel dispenses fuel at the rate of 5 gallons per second. If $y$ represents the amount of fuel remaining in the container, and $x$ represents the number of seconds that have passed since the fuel started dispensing, then $x$ and $y$ satisfy a linear relationship. Complete the statement about the slope of the line representing that relationship in the coordinate plane.
The slope will be $\square$ because the amount of fuel in the tank is $\square$ Select Choice (Lesson 3-10)

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Problem 11223

Algebra I-Study Guide
5. When dividing monomials, the quotient will go on the same side of the division or fraction line as the monomial with the larger exponent.
6. You can add like square roots.
7. You can add unlike square roots.
8. You can multiply or divide like square roots.
9. You can multiply or divide unlike square roots.
10. The Greek letter $\pi$ is pronounced like "pie."
11. Another way of saying that monomials can be added or subtracted is to say they can be combined.
12. The Subtraction Property of Regrouping is useful when dividing monomials.
13. When adding monomials, both the coefficients and exponents are added.
14. If no number is indicated as a coefficient or exponent to a variable, the number 1 is understood to be there.
15. When multiplying two different variables, both the coefficient and exponent are multiplied. T

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Problem 11224

(Round to the nearest cent.) Peter deposited \$55,814 into an account that has an APR of $9\frac{1}{2}\%$ compounded quarterly. How much money will be in Peters account in nine and a half years? The account balance is approximately \$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ (Round to the nearest cent.)

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Problem 11225

$\frac{P\left(\frac{r}{n}\right)}{\left.1-\left(1+\frac{r}{n}\right)^{-n t}\right]} \text { to }$
Use PMT $=\frac{\left[1-\left(1+\frac{r}{n}\right)^{-n t}\right]}{[t o}$ determine the regular payment amount, rounded to the nearest dollar. The price of a small cabin is $\$ 40,000$ . The bank requires $5.5 \%$ down payment. The buyer is offered two mortgage options: 20 -year fixed at $8 \%$ or 30 -year fixed at $8 \%$ . Calculate the amount of interest paid for each opion. How much does the buyer save in interest with the 20-year option?
Find the monthly payment for the 20 -year option. \\square$ (Round to the nearest dollar as needed.)

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Problem 11226

19. Find the area of the given region enclosed by the curves of $f(x)=x^{2}-x+5$ and $g(x)=x+8$ .

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Problem 11227

The area covered by a certain population of bacteria increases according to a continuous exponential growth model. Suppose that a sample culture has an initial area of $9.3 \mathrm{~mm}^{2}$ and an observed doubling time of 4 days. (a) Let $t$ be the time (in days) passed, and let $y$ be the area of the sample at time $t$ .
Write a formula relating $y$ to $t$ . Use exact expressions to fill in the missing parts of the formula. Do not use approximations. $y=\square e^{(\mathbb{D I D}) t}$ (b) What will the area of the sample be in 23 days?
Do not round any intermediate computations, and round your answer to the nearest tenth. $\square \mathrm{mm}^{2}$

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Problem 11228

In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student has a cat given that they have a dog?
Has a cat | Does not have a cat ------- | -------- Has a dog | 2 | 3 Does not have a dog | 7 | 18
Answer Attempt 1 out of 2

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Problem 11229

Q#1) A. A random sample of 25 items is taken from normal population, producing a sample mean of 65 with standard deviation 3. determine the sample error, standard error, and construct a 90% confidence interval for the population mean. interpret your answer B. Determine the sample size necessary to estimate the population mean with standard deviation 36 to ensure a 95% confidence in the result and to be within 5 of the true population mean. How can reduce the sample error

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Problem 11230

Question Find the circumference of a circle with radius 6 .

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Problem 11231

Q#2) Suppose you are working with a data set that is normally distributed, with a mean of 100 and a standard deviation of 24. If a random sample of 64 is taken,
a. probability of $x$ Greater than 65 b. probability of $X$ Less than 130 c. probability of $X$ Between 80 and 140 d. what is the probability that the sample mean is Greater than 110 e. what is the probability that the sample mean is less than 85

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Problem 11232

If a fire causes damage valued at \$71,000, what is the amount of compensation if there is 80% coinsurance clause and compensation with a coinsurance clause is \$208,000?
The amount of compensation is \$$\boxed{}$.

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Problem 11233

A research firm conducted a poll in March 2020 among a random national sample of 480 adults. In the poll, 134 Americans approve of the president's management of the crisis. At 10% significance level, test the claim that the percentage of the Americans that approve the president's management of the crisis is less than 30%.
Procedure: Select an answer
Assumptions: (select everything that applies) ☐ The number of positive and negative responses are both greater than 10 ☐ Normal population ☐ Population standard deviation is unknown ☐ Sample size is greater than 30 ☐ Simple random sample ☐ Population standard deviation is known

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Problem 11234

Tracy invests $\$5,500$ into an ETF which earns $4\%$ per year. In 30 years, how much will Tracy's investment be worth if interest is compounded quarterly (4 times a year)? Round to the nearest dollar.

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Problem 11235

To write an exponent, first type the base than type the : followed by the exponent. Example: 2 to the 5 th power would be typed as 205 reminder $x$ is now a variable NOT multiplication you need to use the to show multiplication Write $7 \cdot 7 \cdot 7 \cdot 7 \cdot 5 \cdot 5 \cdot 5$ in exponential form Write your answer as: base exponent"base exponent Submit Question

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Problem 11236

Question No. 2 The average age of Ram, Shyam and Manu is 30, that of Shyam, Ram and David is 32, that of Shyam, Manu and David is 27 and that of Manu, David and Ram is 28 . What is the age of Shyam?

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Problem 11237

QUESTION 10. At what orbital radius would you place a satellite above the Moon (measured from the centre of the Moon) if it is to be synchronous? Moon: $M = 7.34 \times 10^{22}$ kg, $R = 1740$ km, and $T = 2.36 \times 10^6$ s

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Problem 11238

Kino Ein Kino hat bei einem Eintrittsgeld von 5,00 DM täglich durchschnittlich 200 Besucherlnnen. Langwierige Marktuntersuchungen haben ergeben, dass bei jeder Erhöhung des Eintrittsgeldes um 0,50 DM die Besucherlnnenzahl um 10 abnimmt.
1. Bei welchem Preis ist der Umsatz maximal?
Die internen Kosten durch Filmleihgebühr, Heizung/ Lüftung, Miete, Personal ... sind mit 800 DM unabhängig von der BesucherInnenzahl. Lediglich Putzkosten und ToilettenWasserverbrauch schlagen pro Person mit rund 0,40 DM zu Buche. Dafür macht der Kiosk (samt Eisverkauf) rund 1 DM pro Person Gewinn.
2. Bei welchem Preis ist der Gewinn maximal?
In welchem Bereich für das Eintrittsgeld wird überhaupt Gewinn gemacht?
3. Skizzen!
4. Erläutere die Lage der Extremstellen beim Umsatz- und Gewinnmaximum.

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Problem 11239

conseille de refaire les roues de sorte que l'angle $\alpha \in [0; \frac{\pi}{3}]$ entre deux rayons successifs vérifie la relation : $\sqrt{3}\cos{2\alpha} + \sin{2\alpha} = 1$ .
Etant donné que ni Koffi, ni son soudeur n'a de connaissances en Mathématiques, il sollicite son fils Tano, votre camarade de classe pour déterminer le nombre de rayons qu'il faudra avoir sur chaque nouvelle roue. En utilisant votre connaissance mathématique au programme, Aidez votre camarade à trouver une solution au problème de son père.

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Problem 11240

What is the concentration of the hydroxide ion when 35.2 mL of 2.93 M NaOH is mixed - $1.35 \mathrm{M} \mathrm{Ca}(\mathrm{OH})_{2}$ ? with 32.2 mL of $1.35 \mathrm{M} \mathrm{Ca}(\mathrm{OH})_{2}$ ?

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Problem 11241

9.2 Questions
1. Define the following terms in your own words: KU C (a) standing wave (b) fundamental frequency (c) node (d) harmonics

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Problem 11242

A body of weight $P = 8$ N, considered as a material point, slides on an inclined plane of length $AB = L = 0.5$ m with no initial velocity. The contact is characterized by a coefficient of kinetic friction $\mu_k = 0.40$ . Take $g = 10 \text{m}\cdot\text{s}^{-2}$ .
1. Represent the forces acting on the body.
2. Find the forces expressions and calculate their magnitudes.
3. Calculate the acceleration $a$ of the body.
4. Calculate the velocity of the body at point B. Grading scale in order: $1+2+1+1=5$ *Numbering the answers and improving the handwriting is necessary.

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Problem 11243

One coin is flipped and then one die is rolled.
What is the probability of getting a tail on the coin and a number less than 5 on the die?
Enter the number that belongs in the green box. Completely reduce the fraction before entering.

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Problem 11244

A computer system costing $\$ 6500$ depreciated annually at $32 \%$ . (i) Using the declining balance method work out its value after 3 years. (ii) How long would it take the computer system to reach a value of $\$ 500$ ? Answer to the nearest year.

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Problem 11245

5. A drilling rig 12 miles offshore is to be connected to a refinery on shore, 20 miles down the coast from the rig by using underwater pipe from the rig to point $P$ and land-based pipe from point $P$ to the refinery. If underwater pipe costs $\$ 5000$ per mile and land-based pipe costs $\$ 3500$ per mile, how far should point $P$ be from the refinery to minimize the cost? What will the cost be? Use Calculus to find and justify your answer.

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Problem 11246

Exro Credit: A 6 kg sloth has 9 J of kinetic energy. What is the velocity of the sloth? $V K-\frac{1}{r} \mu \omega^{2} \quad K E=3$

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Problem 11247

GENERAL EDUCATION COMMON ASSIGNMENT FOR MATH 1324 Scott wants to purchase a Toyota Rave XLE. The model he wants is available for \ $26,789. Scott has saved \$4,000 for a down payment, and the dealer has offered$ \ $3,500$ for his trade-in. He is considening three financing options Toyota's financial department is offering O\% interest for three years Scott's credit union is offering $1.98 \%$ compounded monthly for four years His bank is offering $2.97 \%$ compounded monthly for five vears Your Assignment: (a) What would Scott's monthly loan payment be for each option? (b) What total amount of interest would Scot pay for each option? (c) Describe the advantages and disadvantages of cach financing opt on (d) it you were Scott, which of these three fimancink copt ams would ta- Use and why?

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Problem 11248

Predi 3: Molar mass, Conversions, Conservation of Mass, Balancing Equations, 24) In the equation: $\mathrm{H}_{2}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{H}_{2} \mathrm{O}$ (I) what state of matter is $\mathrm{H}_{2}$ ? What tate of matter is $\mathrm{H}_{2} \mathrm{O}$ ?

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Problem 11249

3. A dealer paid $\$ 10,000$ for a boat at an auction. At the dealership, a salesperson sold the boat for $30 \%$ more than the auction price. The salesperson received a commission of $25 \%$ of the difference between the auction price and the dealership price. What was the salesperson's commission? A. $\$ 750$ C. $\$ 3,250$ B. $\$ 1,750$ D. $\$ 5,500$

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Problem 11250

[8.] Type the integer that makes the following subtraction sentence true: 1 - $\square$ $=4$
Submit

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Problem 11251

斉 ${ }^{\circ}$ Type the integer that makes the following subtraction sentence true: $6-\square=23$ Submit

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Problem 11252

Multiple Choice 10 points A test of significance produces a p-value of .03. Which of the following conclusions is appropriate? Accept $\mathrm{H}_{\mathrm{a}}$ at a significance level of $5 \%$ Accept $\mathrm{H}_{0}$ at a significance level of $5 \%$ Reject $\mathrm{H}_{\mathrm{a}}$ at a significance level of $5 \%$ Reject $\mathrm{H}_{0}$ at a significance level of $5 \%$

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Problem 11253

Question 3(Multiple Choice Worth 3 points) (Planning for Retirement LC)
An employee is 38 years old and has had a retirement account for 13 years, with about 29 years to go before retirement. Which breakdown of investments would a financial advisor most likely suggest for the employee at this point in time? 0\% high-risk, 10\% medium-risk, $90 \%$ low-risk $10 \%$ high-risk, $20 \%$ medium-risk, $70 \%$ low-risk $30 \%$ high-risk, $45 \%$ medium-risk, $25 \%$ low-risk $70 \%$ high-risk, $25 \%$ medium risk, $5 \%$ low-risk

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Problem 11254

The monthly rent for the first house is $\$ 1,190$ , and the Bainters can expect it to increase $1.7 \%$ every year. The Bainters want to calculate their morithly rent over time.
What is an appropriate way to calculate the monthly rent over time? Your answer should include - a specific strategy or model that you could use - an explanation of how you would use that model to solve the problem

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Problem 11255

1. A line passes through points $(8,-2)$ and $(-5,7)$ . Which ratio can be used to determine the slope of the line? a. $\frac{8+5}{-2+7}$ c. $\frac{7-2}{-5-8}$ b. $\frac{7+2}{8+5}$ d. $\frac{7+2}{-5-8}$

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Problem 11256

*If $A=\{1,2,5,7,8,10\}, B=\{1,3,5,9\}, c=\{4,9\}$ , answer (21-26) (a) $\{4,9\}$ b) $\{1,5\}$ c) $\}$ d) 1,5 5

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Problem 11257

11 Winkel im Würfel a) Kannst du ohne lange Überlegung sagen, wie groß der Winkel $\alpha$ zwischen Raum- und Flächendiagonale im Würfel ist? Notiere deine Vermutung. b) Begründe, dass das Dreieck BHD rechtwinklig, aber nicht gleichschenklig ist. Berechne die Länge der Strecke $\overline{B D}$ . c) Berechne den Winkel $\alpha$ . Wie groß ist dieser Winkel in einem Würfel mit doppelter (halber) Kantenlänge?

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Problem 11258

b. $(3,0)$ c. $(-5,-4)$ 8.
Find the rate of travel for a fishing boat with a speed of 10 miles per hour ( mph ) moving downstream with a current of 5 mph . d. -15 mph a. 5 mph e. 15 mph

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Problem 11259

I.21-1.2
Determine which integers correspond to the situations. On Wednesday, the temperature was $26^{\circ}$ above zero. On Thursday, it was $7^{\circ}$ below z
The integer $\square$ corresponds to the temperature on Wednesday.
Enter your answer in the answer box and then click Check Answer. 1 part remaining Clear All

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Problem 11260

Choose the correct translation for the given statement.
It must exceed ten. $x \leq 10$ $x \geq 10$ $x>10$ $x<10$

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Problem 11261

Complete this asse
In 1500 CE , the world's population was about $4.5 \times 10^{8}$ . In 2020, the world's population was about $7.8 \times 10^{9}$ . Find how much the world's population increased. (1 point) $12.3 \times 10^{9}$ $8.25 \times 10^{9}$ $3.3 \times 10^{9}$ $7.35 \times 10^{9}$ Check answer Remaining Attempts: 3

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Problem 11262

Graph the given set and write the corresponding interval notation. $\{x \mid 5<x\}$
Part: 0 / 2 $\square$
Part 1 of 2
Graph the set.

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Problem 11263

A girl shoots a 40.0 g arrow straight up in the air. If the arrow leaves the bow with a velocity of $30.0 \mathrm{~m} / \mathrm{s}$ from a height of 1.50 m above the ground, determine the maximum height of the arrow. [47.418 m]

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Problem 11264

Question 8 (5 points)
Title:AlgwFin-U4-Test-Std8-25 The fact that you will need a down payment in either the form of a trade-in or cash is considered a "con" for which method of acquiring a new vehicle? a financing b lease c cash d none of these

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Problem 11265

Title:AlgwFin-U4-Test-Std8-49 If the thinking distance is 125 feet and the braking distance is 150 feet, what is the total stopping distance? a $\quad 275$ feet b 25 feet c $\quad 137.50$ feet d 150 feet

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Problem 11266

3. What is the distance between the points $(2,5)$ and $(7,8)$ ? [A] 25 [B] 1 [ट] 5.8 [D] 9 [E] 4

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Problem 11267

เi. on 5 - Notes C. Q Line Guide Reset Answer
This question has multiple parts. Be sure to answer all the parts of this question.
Each figure is created using green hexagon tiles. PART A
Is the sequence describing the number of green hexagons used in each figure an arithmetic or geometric sequence? Explain.
Figure 1 Figure 2 Figure 3 Enter your response here

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Problem 11268

Arroyo Seco and Stone Mountain are schools in different states. The heights of students at Arroyo Seco have a population mean of 65.5 inches and a standard deviation of 4.7 inches. The heights of students at Stone Mountain have a population mean of 53.5 inches with a standard deviation of 1.3 inches. For each school, the distribution of the heights of students is clearly skewed (not approximately symmetric).
Manuel is a student at Arroyo Seco and is 60 inches tall. Frank is a student at Stone Mountain and is 51 inches tall. (a) Find the $z$ -scores of Manuel's height as a student at Arroyo Seco and Frank's height as a student at Stone Mountain.
Round your answers to two decimal places. $z$ -score of Manuel's height: $\square$ z-score of Frank's height: $\square$ (b) Relative to his population, which student is taller?
Choose the best answer based on the $z$ -scores of the two heights. Manuel Frank It is unclear which student is taller relative to his population

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Problem 11269

```latex \text{Find the missing lengths } X \text{ and } Y. \text{ Round your answers to the nearest hundredth.} \\ \text{Given:} \\ \text{Triangle 1:} \\ \text{Hypotenuse } = 12, \text{ one leg } = 4, \text{ other leg } = X \\ \text{Triangle 2:} \\ \text{Hypotenuse } = 33, \text{ one leg } = 21, \text{ other leg } = Y \\ \text{Solve and round your answers to the nearest tenth. Must show your work to get full point.} ```

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Problem 11270

HS Algebra 2 UO Quick Quiz \#1 - 24-25 / 6 OF 8 on 6 - Notes Line Guide Reset Answer
This question has many parts. Be sure to answer all the parts of the question.
A sandwich shop charges one price for any foot-long sub, with the option of adding premium toppings for $\$ 1.30$ each. A foot-long sub with 2 premium toppings costs \ $9.09. Adrienne and Riley are asked to write an explicit rule for the cost of a footlong sandwich with$ n $premium toppings. Their answers are shown below. Adrienne:$ f(n)=9.09+1.30(n-2) $Riley:$ f(n)=6.49+1.30 n$ Review/ End Test Flag I Options Back Naxt

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Problem 11271

The graph of $f$ behaves like $y=x^{3}$ for large values of $|x|$ . (b) Find the $x$ -and $y$ -intercepts of the graph of the function
The x -intercept(s) is/are 0,6 (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.)
The $y$ -intercept is 0 (Simplify your answer. Type an integer or a fraction.) (c) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the x -axis at each x -intercept.
The zero(s) of $f$ is/are 0,6. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The lesser zero of the function is of multiplicity 2, so the graph of $f$ touches the $x$ -axis at $x=0$ . The greater zero of the function is of multiplicity 1 , so the graph of f crosses the x -axis at $\mathrm{x}=6$ . (d) Determine the maximum number of turning points on the graph of the function. $\square$ (Type a whole number.)

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Problem 11272

oncepts and Connections A - Nov/Dec 2024
A Practice applying the side-side-side and side-angle side Assignment similarity theorems.
If $\triangle \mathrm{HLI} \sim \triangle \mathrm{JLK}$ by the SSS similarity theorem, then $\frac{H L}{J L}=\frac{I L}{K L}$ is also equal to which ratio? $\frac{\mathrm{HI}}{\mathrm{JK}}$ $\frac{\mathrm{H} \mathrm{J}}{\mathrm{L}}$ $\frac{\mathrm{K}}{\mathrm{KL}}$ $\frac{\mathrm{JK}}{\mathrm{HI}}$ Intro Done

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Problem 11273

17. Write an equation of the line that passes through $(3,1)$ and is parallel to $y=-3 x+4$
18. Write an equation of the line that passes through $(-2,-3)$ and is perpendicular to $y=\frac{2}{5} x+6$

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Problem 11274

Is $v=-140$ a solution to the inequality below? $\frac{v}{5}-8>-15$ yes no

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Problem 11275

Angela Blackmon 12/12/24 12:35 PM
2 Operations on Decimals Question 11, 7.2.A-16 HW Score: $26.47 \%, 9$ of 34 points Points: 0 of 1 Save
Suppose that to predict how tall a four-year-old will be at age 12, you multiply his or her height by 1.5 . If Allie is 105.5 cm when she turns 4 , predict how tall she will be when she turns 12.
Allie will be $\square$ cm tall. (Type an integer or a decimal.)

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Problem 11276

This question has two parts.
Angela makes an error when finding the product of 3 and 42 . Her work is shown. Part A Click on the part of the work where Angela's error first appears. \begin{tabular}{|c|c|} \hline Given & $3 \times 42$ \\ \hline Step 1 & $3 \times(4+2)$ \\ \hline Step 2 & $(3 \times 4)+(3 \times 2)$ \\ \hline \end{tabular}
Part B What is the product of 3 and 42 ?

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Problem 11277

When a number is increased by 35 , the result is 38. What equation fits this statement?
A $x-35=38$ B $x+38=35$ (C) $x-38=35$
D $x+35=38$

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Problem 11278

The circumference of one circle is twice as large as the circumference of a second circle. What is the ratlo of the radius of the first circle to the radius of the second circle? (A) 4 to 1 (B) 1 to 1
C 1 to 2
D 2 to 1

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Problem 11279

Answer the questions below. (a) Charmaine wants to determine which letter appears the most often in her favorite poem. Which measure should she use? Mean Median Mode (b) In Prof. Stewart's class, the 10 students had the following scores on the last midterm: $126,129,130,131,133,138,139,140,141,144 .$
Which measure should be used to summarize the data? Mean Median Mode (c) In a survey, 9 people gave the following ratings for a local politician (on a scale of 0 to 100): $12,40,41,42,44,47,51,52,54 .$
Which measure should be used to summarize the data? Mean Median Mode

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Problem 11280

Which pair of events are non-overlapping when rolling a single sixsided die? Getting a number greater than 5 Getting a number less than 3 Getting an odd number Getting a prime number Getting an even number Getting a number less than 3 Getting a number greater than 3 Getting a number less than 5

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Problem 11281

You select a family with three children. If $M$ represents a male child and $F$ a female child, the set of equally likely outcomes for the children's sexes is \{MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF\}. Assuming that the probability of a male or female birth is 0.5 , find the probability of selecting a family with i) Exactly one female child? ii) Exactly two male children? i) 0.375 , ii) 0.125 i) 0.375 , ii) 0.375 i) 0.125 , ii) 0.375 i) 0.125 , ii) 0.125

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Problem 11282

Enter the unknown value that makes this statement true: Dis $40 \%$ of 60 . $\square$ 1 $\square$ 2 $\square$ $\square$ 4 $\square$ $\square$ 5 $\square$ $\square$ $\square$ 7 8 $\square$ 6 $\square$ $\square$ $\square$ 9 0 $\square$ 0 ) $\square$

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Problem 11283

SQQS1013 Pengantar Statistik No, Matrik: $\qquad$
SOALAN/ QUESTION 4 (25 MARKAH/MARKS) a) Satu kajian mendapati bahawa DUA (2) daripada TIGA (3) pelajar di Prince College mempunyai komputer riba. DUA (2) pelajar dipilih secara rawak dan katakan $X$ mewakili pembolehubah rawak bilangan pelajar yang tidak mempunyai komputer riba. Andaikan bahawa proses pemilihan adalah bebas. A survey found that TWO (2) out of THREE (3) students at Prince College own a laptop. TWO (2) students were randomly selected and let $X$ be the number of students who did NOT own a laptop. Assume that the selection processes are independent. i. Lukis gambarajah pokok untuk menggambarkan situasi di atas.
Draw a tree diagram to illustrate the situation above. (3 markah/marks) ii. Berdasarkan kepada jawapan di bahagian (a)(i), bina taburan kebarangkalian bagi $X$ . Based on the answer in part (a) (i), construct the probability distribution of $X$ . (4 markab/marks)

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Problem 11284

Schools Change History (3.) "Which function's graph has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed? (A) $y=-4 \cos \left(\frac{\pi}{4} x\right)-3$ (B) $y=-4 \cos \left(\frac{\pi}{4} x\right)+5$ (C) $y=-4 \cos (8 x)-3$ (D) $y=-4 \cos (8 x)+5$ (4.) Which graph represents a cosine function with no horizontal shift, an amplitude of 2 , and a period of $\frac{2 \pi}{3}$ ? (A) (C) (B) (D)

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Problem 11285

H07928206 This test: 26 point(s) possible This question: 2 point(s) possible Submit test Question 8 of 12
Use the range rule of thumb to identity the values that are significantly low, the values that are signficantly high, and the values that are neither significantly low nor significantly high. significantly high.
What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. A. Test scores that are greater than $\square$ (Round to one decimal place as needed) B. Test scores that are between $\square$ and $\square$ (Round to one decimal place as needed. Use ascending order.) C. Test scores that are less than $\square$ (Round to one decimal place as needed.)
What test scores are significantly high? Select the correct answer below and fill in the answer box(es) to complete your choice. A. Test scores that are greater than $\square$ $\square$ . (Round to one decimal place as needed.) B. Test scores that are less than $\square$ . (Round to one decimal place as needed.) (1) Time Limit: 05:00:00 Next Desk1 (1) Dec 12 1:40

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Problem 11286

Wild grove Furniture needs to Ship $6 b 1$ couches across the country. if they an fit 14 wuches in each truck, how many couches will be in the partilly full truch?

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Problem 11287

Select all polynomials that have $(x+2)$ as a factor. Choose all answers that apply: (A) $A(x)=x^{3}-3 x^{2}-10 x$ (B) $B(x)=x^{3}+5 x^{2}+4 x$ (c) $C(x)=x^{3}-2 x^{2}-13 x-10$ (D) $D(x)=x^{3}-6 x^{2}+11 x-6$

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Problem 11288

1. $G\left(m_{2}\right)$
An object with a mass of 25 Kg and another with a mass of 1500 Kg are separated by a distance to their centers of 1000 m . What is the gravitational force $(\mathrm{Fg})$ between them?
2. What would be the Fg in the above problem if both of the objects had a mass of 25 Kg ?
3. An unknown object is $1.6 \times 10^{15} \mathrm{~m}$ away from an object with a mass of $2.7 \times 10^{13} \mathrm{Kg}$ . If the force between them is 25 N , what is the mass of the unknown object?
4. Two objects, each with a mass of $7.78 \times 10^{-3} \mathrm{Kg}$ have a force of $1.5 \times 10^{-25} \mathrm{~N}$ . What is their radius in m ? Remember you have to take the square root.
5. Yalculate the force between an object of mass $9 \times 10^{2} \mathrm{Kg}$ and another of mass 1 Kg that are $5.5 \times 104 \mathrm{~m}$ art.

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Problem 11289

Enter the correct answer that completes the sentence below. Any line perpendicular to the graph of $4 x+7 y=7$ must have slope $\qquad$ . $\qquad$
Any line perpendicular to the graph of $4 x+7 y=7$ must have slope $\square$ $\square$ . (Type an integer or a simplified fraction.)

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Problem 11290

9. A baby monitor picks up signals within a 50-meter radius. How many square meters of coverage does the dmaby monitor provide?

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Problem 11291

Suppose $z$ varies directly with $x$ and inversely with the square of $y$ . If $z=8$ when $x=4$ and $y=3$ , what is $z$ when $x=8$ and $y=6$ ? $z=$ $\square$ Next Question

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Problem 11292

If a certain number is added to the denominator of the fraction $\frac{3}{5}$ and 7 is added to the numerator, the result is a fraction that will reduce to $\frac{1}{2}$ . What number is added to the denominator?
Let $x=$ the number added to the denominator. $\frac{3+7}{5+x}=\frac{1}{2}$

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Problem 11293

Connor's Floral shop need's to mail 91 checks to the bank. If they can put 30 checks in each envelope, how many checks will be in the final envelope

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Problem 11294

Match the expression in Column I with its equivalent expression in Column II.
0 $-1$ 1 6 $-6$ Drag the correct choice given above into the appropriate area below to match each of the four given expressions. Choices may be used once, more than once, or not at all. I II (a) $6^{\circ}$ (b) $-6^{0}$ (c) $(-6)^{0}$ (d) $-(-6)^{0}$

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Problem 11295

11. The circle in the center of a basketball court is being painted. The circle has a radius of 9 feet. What is the circumference of the circle? Leave your solution in terms of pi.

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Problem 11296

2. The line through $(2, y)$ and $(1,-6)$ is perpendicular to a line with slope $1 / 2$ . Find $y$ .

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Problem 11297

What is the highest common factor (HCF) of 15 and 3 ?

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Problem 11298

Swimming Pool Services A survey found that 5 in 10 private swimming pool owners employ a pool service to care for their swimming pools. Find each probability for a sample of 10 pool owners. Round intermediate calculations and final answers to three decimal places.
Part 1 of 3 (a) Fewer than 4 homeowners employ a pool service. $P($ fewer than 4 homeowners employ a pool service $)=0.172$
Part: 1 / 3
Part 2 of 3 (b) Exactly 6 homeowners employ a pool service. $P$ (exactly 6 homeowners employ a pool service $)=$ $\square$

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Problem 11299

New 1 Student Links test INFOhio My Classes / McGra... Play Kahootl - Enter. Clever I Portal Edpuzzle Classes docs.googlecom All Bcokmanks 01:59:43 Time Remaining Return Next
EXAM 3
This Exam has 38 multiple choice questions. The Exam is Open Book, and you will need a calculator. The Exam will be open from Monday until Midnight Saturday Night. You can take the Exam at any point during this time. The Exam has a time limit of 120 minutes and must be completed once you start. The questions will show up 1 at a time and you WILL NOT be able to backtrack once a question is answered. 1/39 1 Multiple Choice 3.5 points
Jim borrows $\$ 2,500$ at 8.3 percent simple annual interest. He repays the loan in one lump sum at the end of one year. How much will Jim have to pay: \ $2,707.50$ \ $2,500.00$ $\$ 2,700.00$ $\$ 2,770.50$ Next Help

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Problem 11300

Español
Lewis Middle School is going to select a committee. The committee will have a faculty member, a male student, a female student, a parent, and a school board member.
Here are the positions and the people interested in each. \begin{tabular}{|c|l|} \hline Position & \multicolumn{1}{|c|}{ People interested } \\ \hline Faculty member & Dr. Thompson, Mr. Smith \\ \hline Male student & Kareem, Joe, Bob \\ \hline Female student & Lucy, Ann, Ivanna \\ \hline Parent & Mrs. Green, Mr. Chang, Ms. Martinez \\ \hline School board member & Dr. Alexander, Mrs. Adams \\ \hline \end{tabular}
Based on this list, how many ways are there to fill the five committee positions? $\square$

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1 ...110 111 112 113 114 115 116 ...122

Word Problem

Problem 11201

A cylindrical water heater has a total surface area of 4170 in 2^{2}2. If the height of the water heater is 89 in., find the radius. Use π=3.14\pi=3.14π=3.14.The radius of a cylindrical water heater is □\square□ (Round to the nearest inch.)

Problem 11202

Problem 11203

1. Round each decimal number to the nearest whole number. a. 9.7→109.7 \rightarrow 109.7→10 b. 16.45=1616.45 = 1616.45=16 c. 25.325.325.3

Problem 11204

2 Round each decimal number to the nearest tenth. a 1.651.651.65 b 0.310.310.31 c 8.078.078.07

Problem 11205

3 CHALLENGE Round each decimal number to the nearest hundredth. a 0.3510.3510.351 b 0.2890.2890.289 c 3.0163.0163.016

Problem 11206

Problem 11207

Problem 11208

Problem 11209

Problem 11210

Problem 11211

Problem 11212

Problem 11213

Problem 11214

Problem 11215

Question Watch Video Show ExamplesPaisley's cab company charges a one-time pickup fee of $3\$ 3$3 for every ride, as well as a $3\$ 3$3 charge for each mile traveled. Find the rate of change.Answer Attemptiout of 4 \ \square$ per mile Submit Answer

Problem 11216

What mass of NaCl are dissolved in 152 mL of a solution if the concentration of the solution is 0.3640.3640.364 M? 3.243.243.24 g of NaCl will be required

Problem 11217

7. You have $40\$40$40. You wish to buy a T-shirt that costs $14.50\$14.50$14.50 and a pair of jeans that cost $23.95\$23.95$23.95. There is a 5% sales tax on clothing. Do you have enough money to pay for both?

Problem 11218

Problem 11219

Problem 11220

For each expression, estimate to decide whether the sum is closer to 400 or 500.Closer to 400 Closer to 500 311+198311+198311+198 203+200203+200203+200

Problem 11221

Problem 11222

Problem 11223

Problem 11224

(Round to the nearest cent.) Peter deposited \$55,814 into an account that has an APR of \(9\frac{1}{2}\%\) compounded quarterly. How much money will be in Peters account in nine and a half years? The account balance is approximately \$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ (Round to the nearest cent.)

Problem 11225

Problem 11226

19. Find the area of the given region enclosed by the curves of f(x)=x2−x+5f(x)=x^{2}-x+5f(x)=x2−x+5 and g(x)=x+8g(x)=x+8g(x)=x+8.

Problem 11227

Problem 11228

In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student has a cat given that they have a dog?Has a cat | Does not have a cat ------- | -------- Has a dog | 2 | 3 Does not have a dog | 7 | 18Answer Attempt 1 out of 2

Problem 11229

Problem 11230

Question Find the circumference of a circle with radius 6 .

Problem 11231

Problem 11232

If a fire causes damage valued at \$71,000, what is the amount of compensation if there is 80% coinsurance clause and compensation with a coinsurance clause is \$208,000?The amount of compensation is \$\(\boxed{}\).

Problem 11233

Problem 11234

Tracy invests $5,500\$5,500$5,500 into an ETF which earns 4%4\%4% per year. In 30 years, how much will Tracy's investment be worth if interest is compounded quarterly (4 times a year)? Round to the nearest dollar.

Problem 11235

Problem 11236

Question No. 2 The average age of Ram, Shyam and Manu is 30, that of Shyam, Ram and David is 32, that of Shyam, Manu and David is 27 and that of Manu, David and Ram is 28 . What is the age of Shyam?

Problem 11237

QUESTION 10. At what orbital radius would you place a satellite above the Moon (measured from the centre of the Moon) if it is to be synchronous? Moon: M=7.34×1022M = 7.34 \times 10^{22}M=7.34×1022 kg, R=1740R = 1740R=1740 km, and T=2.36×106T = 2.36 \times 10^6T=2.36×106 s

Problem 11238

Problem 11239

Problem 11240

What is the concentration of the hydroxide ion when 35.2 mL of 2.93 M NaOH is mixed - 1.35MCa(OH)21.35 \mathrm{M} \mathrm{Ca}(\mathrm{OH})_{2}1.35MCa(OH)2​ ? with 32.2 mL of 1.35MCa(OH)21.35 \mathrm{M} \mathrm{Ca}(\mathrm{OH})_{2}1.35MCa(OH)2​ ?

Problem 11241

9.2 Questions1. Define the following terms in your own words: KU C (a) standing wave (b) fundamental frequency (c) node (d) harmonics

Problem 11242

Problem 11243

One coin is flipped and then one die is rolled.What is the probability of getting a tail on the coin and a number less than 5 on the die?Enter the number that belongs in the green box. Completely reduce the fraction before entering.

Problem 11244

A computer system costing $6500\$ 6500$6500 depreciated annually at 32%32 \%32%. (i) Using the declining balance method work out its value after 3 years. (ii) How long would it take the computer system to reach a value of $500\$ 500$500 ? Answer to the nearest year.

Problem 11245

Problem 11246

Exro Credit: A 6 kg sloth has 9 J of kinetic energy. What is the velocity of the sloth? VK−1rμω2KE=3V K-\frac{1}{r} \mu \omega^{2} \quad K E=3VK−r1​μω2KE=3

Problem 11247

Problem 11248

Problem 11249

Problem 11250

[8.] Type the integer that makes the following subtraction sentence true: 1 - □\square□ =4=4=4Submit

Problem 11251

斉 ∘{ }^{\circ}∘ Type the integer that makes the following subtraction sentence true: 6−□=236-\square=236−□=23 Submit

Problem 11252

Problem 11253

Problem 11254

Problem 11255

Problem 11256

A cylindrical water heater has a total surface area of 4170 in $^{2}$ . If the height of the water heater is 89 in., find the radius. Use $\pi=3.14$ .
The radius of a cylindrical water heater is $\square$ (Round to the nearest inch.)

1. Round each decimal number to the nearest whole number. a. $9.7 \rightarrow 10$ b. $16.45 = 16$ c. $25.3$

2 Round each decimal number to the nearest tenth. a $1.65$ b $0.31$ c $8.07$

3 CHALLENGE Round each decimal number to the nearest hundredth. a $0.351$ b $0.289$ c $3.016$

Question Watch Video Show Examples
Paisley's cab company charges a one-time pickup fee of $\$ 3$ for every ride, as well as a $\$ 3$ charge for each mile traveled. Find the rate of change.
Answer Attemptiout of 4 \\square$ per mile Submit Answer

What mass of NaCl are dissolved in 152 mL of a solution if the concentration of the solution is $0.364$ M? $3.24$ g of NaCl will be required

7. You have $\$40$ . You wish to buy a T-shirt that costs $\$14.50$ and a pair of jeans that cost $\$23.95$ . There is a 5% sales tax on clothing. Do you have enough money to pay for both?

For each expression, estimate to decide whether the sum is closer to 400 or 500.
Closer to 400 Closer to 500 $311+198$ $203+200$

19. Find the area of the given region enclosed by the curves of $f(x)=x^{2}-x+5$ and $g(x)=x+8$ .

In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student has a cat given that they have a dog?
Has a cat | Does not have a cat ------- | -------- Has a dog | 2 | 3 Does not have a dog | 7 | 18
Answer Attempt 1 out of 2

If a fire causes damage valued at \$71,000, what is the amount of compensation if there is 80% coinsurance clause and compensation with a coinsurance clause is \$208,000?
The amount of compensation is \$\(\boxed{}\).

Tracy invests $\$5,500$ into an ETF which earns $4\%$ per year. In 30 years, how much will Tracy's investment be worth if interest is compounded quarterly (4 times a year)? Round to the nearest dollar.

QUESTION 10. At what orbital radius would you place a satellite above the Moon (measured from the centre of the Moon) if it is to be synchronous? Moon: $M = 7.34 \times 10^{22}$ kg, $R = 1740$ km, and $T = 2.36 \times 10^6$ s

What is the concentration of the hydroxide ion when 35.2 mL of 2.93 M NaOH is mixed - $1.35 \mathrm{M} \mathrm{Ca}(\mathrm{OH})_{2}$ ? with 32.2 mL of $1.35 \mathrm{M} \mathrm{Ca}(\mathrm{OH})_{2}$ ?

9.2 Questions
1. Define the following terms in your own words: KU C (a) standing wave (b) fundamental frequency (c) node (d) harmonics

One coin is flipped and then one die is rolled.
What is the probability of getting a tail on the coin and a number less than 5 on the die?
Enter the number that belongs in the green box. Completely reduce the fraction before entering.

A computer system costing $\$ 6500$ depreciated annually at $32 \%$ . (i) Using the declining balance method work out its value after 3 years. (ii) How long would it take the computer system to reach a value of $\$ 500$ ? Answer to the nearest year.

Exro Credit: A 6 kg sloth has 9 J of kinetic energy. What is the velocity of the sloth? $V K-\frac{1}{r} \mu \omega^{2} \quad K E=3$

[8.] Type the integer that makes the following subtraction sentence true: 1 - $\square$ $=4$
Submit

斉 ${ }^{\circ}$ Type the integer that makes the following subtraction sentence true: $6-\square=23$ Submit

*If $A=\{1,2,5,7,8,10\}, B=\{1,3,5,9\}, c=\{4,9\}$ , answer (21-26) (a) $\{4,9\}$ b) $\{1,5\}$ c) $\}$ d) 1,5 5

b. $(3,0)$ c. $(-5,-4)$ 8.
Find the rate of travel for a fishing boat with a speed of 10 miles per hour ( mph ) moving downstream with a current of 5 mph . d. -15 mph a. 5 mph e. 15 mph

Choose the correct translation for the given statement.
It must exceed ten. $x \leq 10$ $x \geq 10$ $x>10$ $x<10$

Graph the given set and write the corresponding interval notation. $\{x \mid 5<x\}$
Part: 0 / 2 $\square$
Part 1 of 2
Graph the set.

A girl shoots a 40.0 g arrow straight up in the air. If the arrow leaves the bow with a velocity of $30.0 \mathrm{~m} / \mathrm{s}$ from a height of 1.50 m above the ground, determine the maximum height of the arrow. [47.418 m]

Question 8 (5 points)
Title:AlgwFin-U4-Test-Std8-25 The fact that you will need a down payment in either the form of a trade-in or cash is considered a "con" for which method of acquiring a new vehicle? a financing b lease c cash d none of these

Title:AlgwFin-U4-Test-Std8-49 If the thinking distance is 125 feet and the braking distance is 150 feet, what is the total stopping distance? a $\quad 275$ feet b 25 feet c $\quad 137.50$ feet d 150 feet

3. What is the distance between the points $(2,5)$ and $(7,8)$ ? [A] 25 [B] 1 [ट] 5.8 [D] 9 [E] 4

17. Write an equation of the line that passes through $(3,1)$ and is parallel to $y=-3 x+4$
18. Write an equation of the line that passes through $(-2,-3)$ and is perpendicular to $y=\frac{2}{5} x+6$

Is $v=-140$ a solution to the inequality below? $\frac{v}{5}-8>-15$ yes no