Basic Math Questions and Answers

The average adult heart pumps about 84. mL/s of blood at 72 beats per minute. Suppose you need to calculate how long it would take the average heart to circulate 7300. mL of blood. Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.

What is the diameter of a sphere with a volume of 89110 cm³, to the nearest tenth of a centimeter?

Which of the following values of x makes the rational expression below equal to zero? x-3/x-9 A. 12 B. 9 C. 3 D. 6

There are 2.5 oranges per pour and 1.1 grapefruit per pound. With $50 you can buy 36 pounds of oranges or 45 pounds of grapefruit. If you have enough money to buy 37 pounds of grapefruit, how many oranges (to the nearest whole orange) could you buy instead? 116 74 90 30 33

A bicyclist heads east at 19 km/h. After she has traveled 24.2 kilometers, another cyclist sets out in the same direction going 30 km/h. About how long will it take the second cyclist to catch up to the first cyclist? A It will take the second cyclist 3.2 hours to catch up the first cyclist. B It will take the second cyclist 2.2 hours to catch up the first cyclist. C It will take the second cyclist 3.7 hours to catch up the first cyclist. D It will take the second cyclist 1.7 hours to catch up the first cyclist.

A person came to work at 8:30 AM, went out at 11:45 AM, had lunch, came in at 12:30 PM, and left work at 5:15 PM. The total number of hours worked by this person was a. 7 hours b. 7 hours, 15 min c. 8 hours d. 8 hours, 45 min

If Tamara walks 3.5 miles in 0.75 hour, how far will she walk in 1 hour if she walks at the same pace? A. 0.078 miles C. 1.29 miles B. 4.67 miles D. 4.3 miles

The years that a television show on a particular network won an award for best drama series are shown below. 1955 1971 1975 1983 1989 1993 2003 2005 2012 Determine the level of measurement of the data set. Explain your reasoning. What is the level of measurement of the data set? Explain your reasoning. A. Ratio. The data can be ordered and differences between data entries are meaningful, and a zero entry is an inherent zero. B. Ordinal. The data can be arranged in order, or ranked, but differences between data entries are not meaningful. C. Nominal. No mathematical computations can be made. D. Interval. The data can be ordered and differences between data entries are meaningful, but a zero entry is not an inherent zero.

The osmotic pressure exerted by a solution is equal to the molarity multiplied by the absolute temperature and the gas constant R. Suppose the osmotic pressure of a certain solution is measured to be 19. atm at an absolute temperature of 363. K. Write an equation that will let you calculate the molarity c of this solution. Your equation should contain only symbols. Be sure you define each symbol other than R.

Over the last three evenings, Jina received a total of 101 phone calls at the call center. The third evening, she received 4 times as many calls as the first evening. The second evening, she received 5 more calls than the first evening. How many phone calls did she receive each evening? Number of phone calls the first evening: Number of phone calls the second evening: Number of phone calls the third evening:

Solve the quadratic equation by the square root property. 6x²=24 The solution set is

Suppose the value R (d) of d dollars in euros is given by R (d)= 5/6 d. The cost P (n) in dollars to purchase and ship n purses is given by P (n)=55n+23. Write a formula for the cost Q (n) in euros to purchase and ship n purses. It is not necessary to simplify. Q(n) =

Uma uses 5 gallons of red paint for every 2 pints of green paint. What is the rate of gallons of red paint to 1 gallon of green paint? 20 gallons of red paint/1 gallon of green paint 10 gallons of red paint/1 gallon of green paint 8 gallons of red paint/1 gallon of green paint 5 gallons of red paint/1 gallon of green paint

The volume of a cylinder is 20 cubic inches. If the radius of the bases of the cylinders is tripled, what will the new volume be? (How is the radius of a cylinder related to the volume of a cylinder?)

The cost, y, of a frult drink is proportional to x, the number of fruit drinks. The constant of proportionality Is 3.25. Which will check that y is proportional to x? Graph y = 3.25 x and check that the graph is a straight line that goes through (1, 3.25). Graph y = 3.25 x and check that the graph is a straight line that goes through (0, 0). Graph x = 3.25 y and check that the graph is a straight line that goes through (0,0). Graph y = 3.25 x and check that the graph is a straight line that goes through (0, 1).

Deshaun wants to buy a bond that will mature to $4500 in eight years. How much should he pay for the bond now if it earns interest at a rate of 2.5% per year, compounded continuously?

Fill in the blank. To solve x² +6x=5 by completing the square, add___to both sides of the equation. To solve x² + 6x = 5 by completing the square, add to both sides of the equation.

There are 6 grams of fat per serving in granola. Each serving provides 180 calories. There are 9 calories of fat in each gram. The percentage of calories from fat in granola is a. 20% b. 30% c. 54% d. 67%

Joanne owns a brick home with a full value of $97,000. The coverage rate for her homeowners insurance is 0.325%. The cost of Joanne's homeowners insurance is a. $298.46 b. $315.25 c. $325.00 d. $3,152.50

The population of California is approximately 38,040,000. The population of Texas is about 2.606 x 107. What is the approximate total population of these two states? 40.646 * 107 40.646 × 106 6.410 × 107 6.410 × 1014

Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place. S = 4LW + 2WH; S = 170, L= 7, W=5. (Surface area of a special rectangular box)

A vector w has initial point (0, 0) and terminal point (-3,-2). Write w in the form w=ai+bj.

The velocity of an object is the distance it travels per unit time. Suppose the cm velocity of a gliding bird is measured to be 197cm/s Calculate the time it will take S the bird to travel 3.7 m.

Which equation has the same solution as x² 13x + 3 = -7? (x+6.5)² = −52.25 (x − 6.5)² = 32.25 (x+6.5)² = 32.25 (x − 6.5)² = -52.25

A chemistry student needs 20.0 g of tetrahydrofuran for an experiment. By consulting the CRC Handbook of Chemistry and Physics, the student discovers that the density of tetrahydrofuran is 0.889 g cm-3 Calculate the volume of tetrahydrofuran the student should pour out. Be sure your answer has the correct number of significant digits.

Super fine 40-gauge copper wire has a diameter of only 0.080 mm and weighs only 44.5 g/km. Suppose a spool of 40-gauge wire weighs 245. g less after some wire is pulled off to wind a magnet. How could you calculate how much wire was used? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. length of wire =

Suppose that f(x) is a continuous function with f(1) = -6 and f(5)= 6. Determine which choice best describes the following statement. "f(3) = 0 Always true Sometimes true and sometimes false Always false

A biologist has a 691-gram sample of a radioactive substance. Find the mass of the sample after two hours if it decreases according to a continuous exponential decay model, at a relative rate of 14% per hour.

Fill in the blank. To complete the square of x²-8x, add To complete the square of x²-8x, add (Type an integer or a simplified fraction.)

P (n), given below, is the price P in dollars for n grams of vitamins. P(n)=0.8n+5.2 Complete the following statements. Let P-¹ be the inverse function of P. Take x to be an output of the function P. That is, x= P (n) and n = P-¹(x). (a) Which statement best describes P-¹(x)? The amount of vitamins (in grams) for a price of x dollars. The price (in dollars) for x grams of vitamins. The ratio of the price (in dollars) to the number of grams, x. The reciprocal of the price (in dollars) for x grams of vitamins. (b) p-¹(x) = (c) P-¹(10.4) =

Suppose that the functions & and t are defined for all real numbers x as follows. s(x)=4x-3 t(x)=x-2

Use the Factor Theorem to determine whether x-3 is a factor of P(x) = -x4+x3+5x²-4. Specifically, evaluate P at the proper value, and then determine whether x-3 is a factor.

Use the ALEKS graphing calculator to find the vertex and x-intercept(s) for the quadratic function. f(x)=-3.38x²-5.2x-2

How long will it take for a $4000 investment to grow to $7148 at an annual rate of 9.4%, compounded quarterly? Assume that no withdrawals are made.

13. Diego wants to purchase a used car that sells for $6,399. The dealer has offered him $299 on his trade-in car. The total cost of the car Diego wants to buy will be a. $4,543 b. $6,100 c. $6,399 d. $6,698

A building 160 feet tall casts a 90 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the building.) 61° 56° 29° 34°

12. Harrison loaned his friend Mattson $100 for one year at a simple interest rate of 5%. The total amount of money that Mattson will pay back at the end of the year is a. $5.00 b. $100.00 c. $105.00 d. $120.00

A chemistry student needs 20.0 g of diethylamine for an experiment. By consulting the CRC Handbook of Chemistry and Physics, the student discovers that the density of diethylamine is 0.706 g/cm^3 . Calculate the volume of diethylamine the student should pour out.

If θ=210°, find the exact value of each expression below. (a) 2 sin θ = (b) sin (-θ) = (c) sin 2θ =

Which situation is an example of exponential decay? The amount of a radioactive element is decreasing at a rate of 35% per year. The weekly earnings of a part-time job that pays $8 per hour is increased by a weekly bonus of $25. The amount deducted for taxes decreases an annual salary by about 22%. The number of ants in an ant farm is increasing at a rate of 108% per week.

Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $125. Two adults and three children must pay $89. Find the price of the adult's ticket and the price of a child's ticket. The price of a child's ticket is $. The price of an adult's ticket is $

A sports arena can hold 18,500 people, plus or minus 1200 people. A. Write an absolute value equation to represent the number of people that can attend an event. B. Explain the steps to solve the equation.

Match each action with its effect on the set of scores shown. Use each action only once. 90, 85, 35, 70, 67, 76, 90, 79, 94, 100, 87, 61, 56, 80, 67, 65 The greatest change on the mean because it is an outlier The mode of the data changes to 67. The median of the data changes to 79. The range of the data changes to 59. The mean of the data changes to 73.87.

Find the unit vector in the direction of (7,5). Write your answer in component form.

Alexa is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Alexa will earn $20 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Alexa earned a total of $340 in royalties on 8 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Alexa's songs were played. Define the variables that you use to write the system.

Find the solution to the system by the addition (elimination) method. Check your answers. 10x + 7y = 21 5x +9y = 27 What is the solution to the system? (Type an ordered pair.)

The base of a 13-foot ladder is 3 feet from a building. If the ladder reaches the flat roof, how tall is the building? The height of the building is

Graph the solution of the following system. x-2y ≥ -6 3x + y ≤ 6

Point T is at (-6, 2). What are the coordinates of T' after R(x-axis) o R(y-axis)? If a figure is translated with the rule T<-6, 3>, what translation moves the image back to the original position?

Against the wind a small plane flew 280 miles in 1 hour and 10 minutes. The return trip took only 50 minutes. What was the speed of the wind? What was the speed of the plane in still air? The speed of the plane in still air was mph. The speed of the wind was mph.