Math Questions

The midpoint of AB is at (-1, -1). If A = (9,5), find B. B is:(

A solution is prepared by disserving 15.0 g of NH3 in 250.0 g of water. The density of the resulting solution is 0.974 g/mL. The molarity of NH3 in the solution is M. A) 0.00353 B) 0.882 C) 60.0 D) 3.24 E) 3.53

The number of girls varied directly as the number of boys and inversely as the number of teachers. When there were 50 girls, there were 20 teachers and 10 boys. How many boys were there when there were 10 girls and 100 teachers?

Kendrick's hair was 10 centimeters long after his last haircut, and it grows 4 centimeters every year. Kendrick last got his hair cut 8 years ago. How long is it now?

A magazine had 4000 subscribers at the end of the year 2004. The number of subscribers increased by 10% each year as compared with the previous year. Which of the following is closest to the number of subscribers at the end of the year 2007? 4400 4330 5200 5320

Determine whether each of the following probabilities is either theoretical or empirical. You played blackjack and had one blackjack out of 10 times. Then your probability of getting a blackjack is 1/10 = 10% The probability of blackjack from the first two cards is 32/663 ≈ 4.8% 1. Theoretical probability 2. Relative frequency

Suppose there is a 12.6% probability that a randomly selected person aged 20 years or older is a jogger. In addition, there is a 18.5% probability that a randomly selected person aged 20 years or older is female, given that he or she jogs. What is the probability that a randomly selected person aged 20 years or older is female and jogs? Would it be unusual to randomly select a person aged 20 years or older who is female and jogs?

The current population of a town is 10,000. If the population, P, increases by 20% each year, which equation could be used to find the population after t years? P= 10,000(0.2)t P = 10,000(1.8)t P = 10,000(0.8)t P= 10,000(1.2)t

William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budgeted $4,000 for their reception. If the reception hall charges a $80 cleanup fee plus $39 per person, find the greatest number of people that they may invite and still stay within their budget.

Kyle spent more than 37 minutes swimming last night. Which of the following amounts of time could Kyle have been swimming? Select all that apply. Choose all that apply: 2350 seconds 2050 seconds 2250 seconds 2150 seconds

[8 points] Suppose you have invested $2200 at an APR of 3%. Use the Rule of 72 to estimate how long it will be until your investment reaches $4400. It will take approximately Select- years for the investment to reach $4400.

A concrete pillar has the shape of a cylinder. It has a diameter of 8 meters and a height of 6 meters. If concrete costs $106 per cubic meter, how much did the concrete cost for the pillar?

What is the freezing point (°C) of a solution prepared by dissolving 11.3 g of Ca(NO3)2 in 115 g of water? The molal freezing point depression constant for water is (Assume 100% ionization of Ca(NO3)2.) A)-3.34 B) -1.11 C) 3.34 D) 1.11 E) 0.0 B)-1.11 C) 3.34 E) 0.00 A)-3.34 D) 1.11

Which condition makes the statement below false? "If I have an alibi, then I am innocent" Hint: When is a conditional false? I do not have an alibi and I am not innocent I have an alibi and I am not innocent I have an alibi or I am innocent I do not have an alibi or I am innocent

Which segment does not belong with the other three? Explain your reasoning. radius: It is smaller than the other segments. diameter; It is the only segment through the center. tangent, It is the only segment outside the circle. chord; It is the only segment with endpoints on the circle.

The student population in the Greenville school system is increasing about 10% each year. This year there are 3120 students in the Greenville school system. If this trend continues, which of the following is closest to the number of students who will be in this school system 3 years from now? 3400 4000 4200 9400

Let C(x) = 2x + 550 and R(x) = 28x. (a) Write the profit function P(x). P(x) = (b) What is the slope m of the profit function? m= (c) What is the marginal profit MP? MP = (d) Interpret the marginal profit. Each additional unit sold increases the profit by this much. This is the smallest number of units that can be sold in order to make a profit. The profit is maximized when this many units are sold. Each additional unit sold decreases the profit by this much.

Air Transportation: A standard M-6 air cargo container is 19.8 feet long, 7 feet wide and 7.3 feet tall. For the purposes of this project, when it is completely filled each container can hold up to 21,500 cellphones, and the transportation cost is $24,000 per container. How much will it cost per cellphone to use this mode of transportation?

First find f' and then find f. f"(x) = 6x³ + 10x² + 3x +3, f'(1) = -1, f(1) = -9. f'(x) = f(x) =

A recreational softball league is considering some rule changes. In order to know how the players feel, league officials sent out a survey by email to all the players in the league. What type of sampling method did the league use? Self-selected Stratified Systematic Cluster

A pyramid shaped building is 837 ft tall with a square base that is 156 ft on each side. What is the volume of the pyramid?

John invests $2800 into an investment account described by the equation A = 2800 (e-07-t). If interest is compounded continuously, how much is in his investment account at the end of 5 years? (Round to the nearest penny)

William spends $2,500 on a bedroom furniture set on a store credit account. If he is not required to make payments for three years, but the interest is compounded yearly at 8.5%, how much interest will he owe after 3 years? $2,508.50 $693.22 $212.50

A laptop computer is purchased for $1050. After each year, the resale value decreases by 25%. What will the resale value be after 5 years? Use the calculator provided and round your answer to the nearest dollar. $0 X

Suppose that a ball is rolling down a ramp. The distance traveled by the ball is given by the function s(t), where t is the time, in seconds, after the ball is released, and s(t) is measured in feet. For the given function, find the ball's average velocity from t₁ to t₂. s(t) = 12t²; t₁ = 5, t₂ = 5.001 A. 0.12 ft/sec B. 12.012 ft/sec C. 120.012 ft/sec D. -120.012 ft/sec)

A survey of 78 men and women was conducted. Of the 78 surveyed, 41 were women, 28 were married, and 17 were married women. What is the probability of randomly selecting a woman or someone married? (Hint: Draw a Venn diagram) a. 52/78 b. 69/78 c. 41/78 d. 28/78

Use the given circumference to find the surface area of the spherical object. a pincushion with C = 24 cm The surface area of the pincushion is cm².

The amount of money that a car insurance company pays out in a given week on single-car accidents follows approximately a normal distribution with mean $45,000 and a standard deviation of $10,000. What is the probability that the insurance company will have to pay out more than $60,000 in a given week? 0.067 0.111 0.413 0.933

For each equation below, determine if the function is Odd, Even, or Neither f(x) = 4x^5 g(x) = 1/x + 4 h(x) = 4 - x²

A croissant, a cup of coffee, and a fruit bowl from Kelley's Coffee Cart cost a total of $5.25. Kelley posts a notice announcing that, effective next week, the price of a croissant will go up 25% and the price of coffee will go up 35%. After the increase, the total price of the purchase will be $5.74, and a fruit bowl will cost 3 times as much as a croissant. F

Mrs. Travis wants to have a clown deliver balloons to her secretary's office. Clowns R. Fun charges $1.25 per balloon and $6 delivery. Singing Balloons charges $1.95 per balloon and $2 for delivery. What is the minimum number of balloons Mrs. Travis needs to purchase in order for Clowns R Fun to have a lower price than Singing Balloons?

Which of the following most accurately describes the translation of the graph: y=(x-7)² + 16, from the origin (0, 0)? Select one: 7 units down, 16 units right 7 units up, 16 units right 16 units up, 7 units left 16 units up, 7 units right

The circumference of a circular field is 273.18 yards. What is the radius of the field?

Based on past experience, a building contractor sets the probability of winning a contract is 30%. The contract is worth $25,000 and the cost to prepare the contract proposal is $2,400. What is the expected value of the contract proposal? $5,100 $6,780 -$5,100 $22,600

The formula v= √2.5r models the safe maximum speed, v, in miles per hour, at which a car can travel on a curved road with radius of curvature, r, in feet. A highway crew measures the radius of curvature at an exit ramp as 810 feet. What is the maximum safe speed? A. 81 miles per hour B. 50 miles per hour C. 42 miles per hour D. 45 miles per hour

Use technology to find the P-value for the hypothesis test described below. The claim is that for 12 AM body temperatures, the mean is u> 98.6°F. The sample size is n=3 and the test statistic is t= 1.013. (Round to three decimal places as needed.) P-value=

There are currently 300 cells in a culture and it grows at a rate proportional to its size. After one hour the population has increased to 430. How much time will have passed when there are 1000 cells? Note: Round to the nearest hundredth of an hour.

Delaney and Erin both leave the college at the same time, but in opposite directions. If Erin travels 5 mph faster than Delaney and after 7 hours they are 203 miles apart, how fast is each traveling?

Given cot A = 9/2 and that angle A is in Quadrant I, find the exact value of sin A in simplest radical form using a rational denominator.

The total profit function P(x) for a company producing x thousand units is given by P(x) = 2x² + 40x- 168. Find the values of x for which the company makes a profit. [Hint: The company makes a profit when P(x) > 0.] A. x is greater than 6 thousand units B. x is between 6 thousand units and 14 thousand units C. x is less than 6 thousand units or greater than 14 thousand units D. x is less than 14 thousand units

A random sample of 159 full-grown lobsters had a mean weight of 18 ounces; the standard deviation of weights of all lobsters is thought to be σ = 2.8 ounces. Use this data to construct a 98 percent confidence interval for the population mean m of weights of all such lobsters.. 16.9 <m< 18.0 18.1 <m< 20 17.48 <m < 18.517 17.48 <m < 19.52

Classify the hypothesis test as left-tailed, right- tailed, or two-tailed. At one school, the average amount of time that tenth-graders spend watching television each week is21.6 hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased from the previous mean of 21.6 hours. Right-tailed Two-tailed Left-tailed

The quadratic function R(p) = -5.2p² +65p - 75 gives the amount of revenue R(p) in dollars generated by a product priced at p dollars. Question: At what price will the maximum revenue be generated?

Alice Coopersmith is moving to a new home. She can rent a 14-foot panel truck for $40.00 a day plus $0.26 a mile or an 18-foot truck for $55.00 a day plus $0.29 a mile. It would take 4 trips to make the move in the 14-foot truck, but only 3 trips in the larger truck. She estimates that gasoline would cost about $45.00 for either truck. A round-trip to her new home is 60 miles Regardless of the number of trips, she would need the truck for only 1 day. To save on expenses, which size truck should Coopersmith rent? How much would it cost per mile to rent each truck?

The function h(t) gives the height of a rock thrown off the Golden Gate Bridge in feet above the water at t seconds after it is thrown. h(t) = -16t² + 30t + 225 Question: How long after it's thrown will the rock hit the water?

If g(x) is the ƒ(x) = x after a vertical compression by 2/5 a shift right by 4, and a shift down by 2, a) write an equation for g(x): g(x) = b) The slope of this line is: c) The vertical intercept of this line is:

A college student launches a water balloon from the balcony of a building. The balloon's height off of the ground is a function of the amount of time after it is launched and is described by the equation h(t) = -16t² + 40t + 72 where t is time since launch in seconds and h(t) is the height in feet. Question: When will the balloon reach 60 feet above the ground? Enter your final answer rounded to the nearest tenth (one decimal place.) .Enter the correct units for your answer in the second box. IF there is no valid answer enter N/A in all blanks. Answer: The balloon reaches 60 feet after Why is there only one valid answer?

Use the Fundamental Counting Principle to determine the total number of outcomes. 3. Picking a card from a standard deck then rolling a standard die. 4. Choosing a random answer to the last five questions on a multiple- choice test if each question has four answer choices. 5. A mall has four escalators, one elevator, and three stairwells to travel from the second floor to the first floor. They have six doors on the first floor to exit the mall. If Jane is on the second floor, how many ways can she exit the mall?

Select the correct answer. Consider functions fand g. f(x)= x-1/x2+x-1 g(x) = 3² - 2 Using a table of values, what is the approximate solution to the equation f(x)=g(x) to the nearest quarter of a unit?

The ratio of shirts to pants in Sara's closet is 5:2. Which best explains what that means? Sara has 5 shirts for every 2 pairs of pants in her closet Sara only has 7 items of clothing in her closet Sara has 5 more shirts than pants in her closet Sara has 5 pairs of pants for every 2 shirts