Math Questions

Harvey plans to use 5 ft of shelving for four shelves whose lengths are to be a series of consecutive even numbers. How many inches long should each shelf be? If x represents the length of the shortest shelf, which expression would represent the length of the longest shelf? X+6 x+3 x+4

The following situation involves a rate of change that is constant. Write a statement that describes how one variable changes with respect to the other, give the rate of change numerically (with units),and use the rate of change rule to answer any questions. You run along a path at a constant speed of 4.9 miles per hour. How far do you travel in 1.4 hours? in 3.7 hours? Which statement describes this situation? A. Time varies with respect to distance traveled with a rate of change of 4.9 h/mi. B. Time varies with respect to distance traveled with a rate of change of 4.9 mi/h. C. The distance traveled varies with respect to time with a rate of change of 4.9 h/mi. D. The distance traveled varies with respect to time with a rate of change of 4.9 mi/h. What is the distance traveled after 1.4 hours? 6.86 miles (Type an integer or a decimal.) What is the distance traveled after 3.7 hours? miles (Type an integer or a decimal.)

If the balance at the end of eight years on an investment that has been invested at a rate of 9% compounded semi-annually was $5096.37, how much was the principal? a) $2557.70 b) $3583.69 c) $2520 d) $1283.62

An editorial points out that the crime rate has decreased from 2.3% to 1.5% from 2012 to 2013, concluding that the police budget should be cut. Is this a valid conclusion? Give a reason for your answer.

Seven times a number minus the number is -48. Find the number. the number is 8 the number is 8 the number is 6

Factor completely. 5x2 - 45 A 5(x+3)(x-3) B. 5(2-45) C 5(x-9Xx+9) D. (5x+9XX-5)

Traffic flow at 1st Ave and High St is twice the traffic flow at 2nd Ave and Central. Compare the graph of the traffic flow at 1st Ave and High St to the graph of the traffic flow at 2nd Ave and Central over time. The period of the graph of the traffic flow at 1st Ave and High St is four times as long as the period of the graph of the traffic flow at 2nd Ave and Central. The period of the graph of the traffic flow at 1st Ave and High St is twice as long as the period of the graph of the traffic flow at 2nd Ave and Central. The period of the graph of the traffic flow at 1st Ave and High St is equally as long as the period of the graph of the traffic flow at 2nd Ave and Central. The period of the graph of the traffic flow at 1st Ave and High St is half as long as the period of the graph of the traffic flow at 2nd Ave and Central.

Person A is breathing five times as fast as person B. Compare the graphs of the breathing of the two people over time. The period of the graph for person A is 2 times longer than the period of the graph for person B. The period of the graph for person A is 5 times shorter than the period of the graph for person B. The period of the graph for person A is 5 times longer than the period of the graph for person B. The period of the graph for person A is 2 times shorter than the period of the graph for person B.

A parade departs from City Hall and finishes at a park, 8 kilometers away. On a map with a scale of 1 centimeter : 1 kilometer, what is the distance between City Hall and the park? centimeters

Suppose your parents decide to give you $10,000 to be put in a college trust fund that will be paid in equally quarterly installments over a 5 year period. If you deposit the money into an account paying 1.5% per quarter, how much are the quarterly payments (Assume the account will have a zero balance at the end of period.)

Answer the questions for the problem given below. The average price of a home in a town was $178,000 in 2007 but home prices are rising by 4% per year. a. Find an exponential function of the form Q = Q0x (1 + r)t (where r> 0) for growth to model the situation described.

A bank loans a family $90,000 at 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over a 15 year period. How much should the monthly payment be in order to pay off the debt in 15 years? Show all your calculations

The red blood cell counts (in millions of cells per microliter) for a population of adult males can be approximated by a normal distribution, with a mean of 5.8 million cells per microliter and a standard deviation of 0.4 million cells per microliter. (a) What is the minimum red blood cell count that can be in the top 23% of counts? (b) What is the maximum red blood cell count that can be in the bottom 15% of counts?

Consider the following case of exponential decay. Complete parts (a) through (c) below. A privately owned forest that had 2,000,000 acres of old growth is being clear cut at a rate of 7% per year. a. Create an exponential function of the form Q = Qox (1 + r), (where r> 0 for growth and r<0 for decay) to model the situation described.

8) Circle the correct answer. Two variables have a correlation coefficient of r = 0.9. This indicates... a) A strong positive correlation b) A weak positive correlation c) A strong negative correlation d) A weak negative correlation 9) Circle the correct answer. The residuals for a set of data represent the... a) Differences between consecutive x-values b) Vertical differences between data point and the line of best fit c) Data points that lie below the line of best fit d) Data points that do not lie on the line of best fit

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1463 and the standard deviation was 311. The test scores of four students selected at random are 1890, 1230, 2170, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The Z-score for 1890 is

A truck with 46-in.-diameter wheels is traveling at 45 mi/h. Find the angular speed of the wheels in rad/min: How many revolutions per minute do the wheels make?

Pistons in car A are extending twice as long as pistons in car B. Compare the graphs of the piston extension of car A to the graph of the piston extension of car B over time. The amplitude of the graph for the pistons in car A is half the amplitude of the graph for the pistons in car B. The amplitude of the graph for the pistons in car A is twice the amplitude of the graph for the pistons in car B. The period of the graph for the pistons in car A is half the period of the graph for the pistons in car B. The period of the graph for the pistons in car A is twice the period of the graph for the pistons in car B.

For the function h(x)= 8x/(x-9)(x+4), solve the following inequality. h(x) < 0 Select the correct choice below and fill in the answer box within your choice. A. The solution is. (Use a comma to separate answers as needed.) B. The solution is (Type your answer in interval notation.)

The drug Valium is eliminated from the bloodstream exponentially with a half-life of 36 hours.. Suppose that a patient receives an initial dose of 70 milligrams of Valium at midnight. a. How much Valium is in the patient's blood at noon on the first day? b. Estimate when the Valium concentration will reach 15% of its initial level. a. How much Valium is in the patient's blood at noon on the first day? There is approximately 55.6 mg of Valium in the patient's blood at noon on the first day. (Round to the nearest tenth as needed.) b. Estimate when the Valium concentration will reach 15% of its initial level. After approximately hours the Valium concentration will reach 15% of its initial level. (Round to the nearest hour.)

Suppose that poaching reduces the population of an endangered animal by 8% per year. Further suppose that when the population of this animal falls below 30, its extinction is inevitable (owing to the lack of reproductive options without severe in-breeding). If the current population of the animal is 1500, when will it face extinction? Comment on the validity of this exponential model. It will take about 47 years for the animal to face extinction. (Do not round until the final answer. Then round to the nearest whole number as needed.) Comment on the validity of this exponential model. The model is because the initial population is decaying, the number of years predicted by the model is to face extinction due to the lack of reproductive options. and at this rate of for the population

Determine if f(x) x5/4 - x + 1 is a polynomial function. If it is, state the degree and the leading coefficient. If not, state why. No. There is an exponent on a variable x that is not a whole number. Yes. The degree is 5 and the leading coefficient is 114 No. The leading coefficient is not a whole number. Yes. The degree is 5 and the leading coefficient is 1.

In Beverly Hills, two Hollywood actors own houses that are just 8 kilometers apart. On a map of stars' houses, these two houses are 4 centimeters away from each other. What is the map's scale? Write your answer as a decimal or whole number. 1 centimeter = kilometers

Determine the amplitude (A), period (P) and phase shift (PS) of the function f(x) = 8sin (2(x - 4)) + 10.

Maddie is a high school student who is also taking a class at her local community college. Maddie rides the bus from the high school to the college, which are shown 4 inches apart on a map. What is the actual distance between the college and the high school if the scale of the map is 2 inches : 2.3 miles?

Solve this problem on paper using all four steps. A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they deúbled the sales of the second week for the third week to sell a total of 431 boxes of cookies, how many did they sell each week? They sold b boxes the first week, boxes the second week, and boxes the third week.

Solve the equation by using the square root property. 2x²-90=0

Solve the equation by using the square root property. (x-7)² = 28

Select the equation that most accurately depicts the word problem. Jim weighs 30 pounds less than Tom, and together they weigh 210 pounds. Let n = Tom's weight in pounds. (n+30) n 210 (n-30) n-180 (n-30)+n+ 180 (n-30) n = 210

Bubba Watson led the PGA tour in driving distance during the 2015 season. The length of his drives followed a normal distribution with a mean of 317 yards and a standard deviation of 10 yards. Find the percent of his drives that you would expect to have been: a) greater than 300 yards b) less than than 305 yards c) between 320 and 330 yards

Select the correct answer for each statement. will yield consecutive odd integers will yield consecutive integers

Decide whether the graph represents a discrete random variable or a continuous random variable. The length of time students use a computer each week Does the graph represent a discrete or continuous random variable? Choose the correct answer below. The length of time is a random variable that is countable, so it is a discrete. Continuous, because the length of time is a random variable that is uncountable.

You can construct triangles by connecting three vertices of a convex polygon with n sides. The number of all possible such triangles can be represented with the function below. Find the value of n such that you can construct 84 such triangles from the polygon. f(n)= n³ - 3n² + 2n/6

The width of a plastic storage box is 1 ft longer than the height. The length is 4 ft longer than the height. The volume is 36ft³. What is the shortest dimension of the box? The shortest dimension is ft.

An exponential function f(z) = a . bx passes through the points (0, 10000) and (3, 2160). What are the values of a and b?

Solve this problem in your notebook using all four steps. Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each years old Jane is Harvey is years old,

Solve for c. 3abc + b = 5 c=(5-b)/(3ab) c=2-ab c= -5/3ab

Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and the leading coefficient. If the function is not a polynomial, state why. f(x) = 1,050 This is not a polynomial. Only vertical lines of the form x = b can be classified as a polynomial. This is a polynomial function of degree zero with a leading coefficient of 1,050. This is not a polynomial because there are no variables. This is not a polynomial. Horizontal lines can not be polynomials as there are no turning points.

The system shown has___solution(s). y = x + 1 2y - x = 6 infinite no one

Dan made a scale drawing of a summer camp. The scale of the drawing was 5 centimeters: 3 meters. The sand volleyball court is 9 meters wide in real life. How wide is the volleyball court in the drawing? centimeters

Let U = {1, 2, 3,...), A = {4, 8, 12,...}. Use the roster method to write the set A'. Select the correct choice below. A. A' = {1, 2, 3, 7, 10, 11,...) B. A' = {1, 2, 3, 5, 6, 7, 9, 10, 11,...) C. A' =Ø D. A' = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,...}

Solve for L. P= 2L+ 2W L= 2/(P-W) L=2(W - 2P) L(P-2W)/2

Let D= (x) x is the height above the ground) be the domain, and let f(x)= "time spent on a Ferris wheel" be the possible function. Determine if the relation is an example of a function. No, f is not a function. Yes, f is a function.

Find the seventh term of a sequence whose first three terms are 1, 4, 9.

Jasper is taking an SAT prep class at the community center in Lakeside. The community center is 9 centimeters away from Jasper's house on a city map. If the map uses a scale of 3 centimeters: 1 kilometer, how far apart are Jasper's house and the community center in real life? ___kilometers

Laura measured a picnic area near the river and made a scale drawing. The scale she used was 3 inches : 2 yards. If the picnic area is 90 inches wide in the drawing, how wide is the actual picnic area? ___yards

Convert the equation f(t) = 186(1.12)^t to the form f(t)=ae^kt a= k= Give values accurate to three decimal places

Find the distance in kilometers between the following pair of cities, assuming they lie on the same north-south line. The radius of the Earth is approximately 6400 km. City A, 12° N, and City B, 12° S The cities are approximately km apart. (Round to the nearest integer as needed.)

A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -7) and your house is located at (-3, 3). What is the distance, to the nearest unit, between your house and the subway stop? 11 14 19 24

A 180-ft redwood tree casts a shadow. Express the length x of the shadow as a function of the angle of elevation of the sun θ. Then find x when θ=40° and θ=75° Express x as a function of θ x= (Simplify your answer.)