Math Questions

Jon has quarters, dimes, and nickels in his pocket. The value of his money is $1.75. There are two more dimes than quarters and twice as many nickels as dimes. How many nickels does he have?

If 1800 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

If a virus spreads at a rate that can be modeled by the exponential function A(t) = ae^rt, how many people will be infected after 5 days if the initially 3 people are infected and the growth rate is 40%? (Use your calculator for a precise version of e. If you are not able to use a calculator, you can approximate e as 2.718. Round your answer to the nearest person.)

Solve the following system of equations. If there is no solution, write DNE in each coordinate of the ordered triplet. If there are an infinite number of solution, write each coordinate in terms of z. x-14=y-13 z+6=x+2 y-10=z-7

A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho: H0: µ ≥ 3.3 Ha: µ <3.3 What type of test is being conducted in this problem? A. Right-tailed test B. Two-tailed test C. Left-tailed test

If we assume that the conditions for correlation are met, which of the following are true? If false, explain briefly. a) A correlation of -0.98 indicates a strong, negative association. b) Multiplying every value of x by 2 will double the correlation. c) The units of the correlation are the same as the units of y.

If you have $15 and you spend $8 on baseball tickets, what fraction of your money did you spend?

If f(x) = log3(x), what is the transformation that occurs if g(x) = -log3(x)? (Enters for stretch, c for compress, mx for mirrorred across the x-axis, my for mirrored across the y-axis, r for shift right, I for shift left, u for shift up, and d for shift down.)

Select all the correct answers. A biologist models the size of a population of songbirds over time, t, in years, with this function. f(t) 312(0.97)^t Which statements about the population are supported by this function? The population size was initially around 312. The population size was initially around 303. The population size when t=5 is predicted to be 361. The population is increasing by 97% per year. The population is decreasing by 3% per year.

Solve the System. Give answer as (x, y, z). {-1x+5y-5z= -5 {-2x-5y-6z=-6 {4x-5y+2z=2 No solution Infinite number of solutions

Zoe has 8 cups of whole-wheat flour. If each loaf of her favorite bread requires 3/4 of a cup of whole-wheat flour, how many whole loaves of bread can she make using 8 cups? 4 loaves 6 loaves 10 loaves 11 loaves

If the point (2,-5) is reflected in the line y = x, then the image is: A. (-2,5) B. (-5,-2) Oc. (-5,2) D. (5,-2)

Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of a = 0.01 Choose the correct answer below. A. Since the P-value is greater than a, reject the null hypothesis. B. Since the P-value is less than a, fail to reject the null hypothesis. C. Since the P-value is greater than a, fail to reject the null hypothesis. D. Since the P-value is less than a, reject the null hypothesis.

Given the points (7,3) and (k, -7), for which values of k would the distance between the points be 2√/41? A. 17 or 2 B. 15 or -1 C. 14 or -4 D. 17 or -4

If an oxygen bottle delivers 7 cubic feet of oxygen in 4 minutes at 27,000 feet and -65 degrees F. How much will the system deliver in 13 minutes? Note: this is a direct proportion. 22.75 cu.ft. 17.25 cu.ft. 14cu.ft.

A dilation has center (0, 0). Find the image of each point for the given scale factor. C(0, 4); D(1/2)(C) A. (0,2) B. (1/2,0) C. (1/2, 4/1) D. (4,0)

Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. If interest rates stay at 4% APR and I continue to make my monthly $75 deposits into my retirement plan, I should have at least $30,000 saved when I retire in 20 years.

At a local Brownsville play production, 400 tickets were sold. The ticket prices varied on the seating arrangements and cost $8, $10, or $12. The total income from ticket sales reached $3700. If the combined number of $8 and $10 priced tickets sold was 7 times the number of $12 tickets sold, how many tickets of each type were sold? Number of $8 tickets sold Number of $10 tickets sold Number of $12 tickets sold

Decibels are a measure of sound on a logarithmic scale, where the number in front of the zero represents the number of powers of 10 (can think of as the number of zeros). As an example, a whisper is around 10 dB (power ratio of 10 / 1 zero) while a jet engine is around 120 dB (power ratio of 1,000,000,000,000/ 12 zeros). Convert the value of a washing machine at 80 decibels into a power ratio.

Suppose you have a bag of 10 marbles that includes 4 red marbles. Create a table that shows the theoretical probability distribution of how many reds you could choose if you take out 2 marbles.

Find the distance between the points (4, 0) and (-3, 4). A. √17 B. √65 C. 65 D. 17

The pressure gauge, which is reading in gauge pressure, on a cylinder with a volume of 2310 cu. in. reads 1475 psig. If the gas were transferred to a new cylinder with a volume of 3465 cu. in., what would the pressure gauge on the new cylinder read? Assume the temperature remains constant. Boyles' Law P₁V₁ = P2V2 993.11 psig 978.43 psig 983.33 psig

Country Day's scholarship fund receives a gift of $ 195000. The money is invested in stocks, bonds, and CDs. CDs pay 4.5 % interest, bonds pay 3.5 % interest, and stocks pay 8.3 % interest. Country day invests $10000 more in bonds than in CDs. If the annual income from the investments is $ 10975, how much was invested in each vehicle? Country Day invested $ in stocks. Country Day invested S in bonds. Country Day invested S in CDs.

An investor will randomly select 6 stocks from 20 for an investment. How many combinations are possible?

Select the correct answer. The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake, Io. M = log ( I / I0 ) What is the approximate intensity of an earthquake with a Richter scale magnitude of 4.8? Use a reference intensity of 1. A.6,492,506 B.63,096 C.660,057 D.0.681

An assistant is in charge of ordering lunch for the monthly office meeting. For the first month, she orders five Falafel wraps, fifteen Turkey BLT sandwiches, and twenty hot Ham and Swiss paninis for a total of $271.25. The next month, she orders eight Falafel wraps, eighteen Turkey BLT sandwiches, and fourteen hot Ham and Swiss paninis for a total of $272. For the third month, she orders twelve Falafel wraps, sixteen Turkey BLT sandwiches, and twelve hot Ham and Swiss paninis for a total of $267. How much does each sandwich cost?

The angle of elevation to the top of a Building in New York is found to be 6 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building. Round to the tenths. Hint: 1 mile = 5280 feet

What type of triangle has side lengths 9, 10, and √130? A. right B. obtuse C. acute D. not a triangle

Your medical research team is investigating the standard deviation of the cost of a 30-day supply of a certain heart medication. A pharmaceutical company thinks that the standard deviation of the cost is more than $23. You want to support this claim. How would you write the null and alternative hypotheses?

If the length of one leg of a right triangle is 4 and the hypotenuse is √65, what is the length of the other leg? A. 7 B. √33 Oc. √69 D. √3

What is the slope of a line that is parallel to the line whose equation is 5y + 2x = 12? A. 2/5 B. -5/2 C. 5/2 D. -2/5

Line c has an equation of y = -1/3x - 4. Line d is perpendicular to line c and passes through (-1, 3). What is the equation of line d? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Line t has an equation of y = -10x + 9. Line u includes the point (-1, 5) and is parallel to line t. What is the equation of line u? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

The number of stickers Kevin had was 1/4 more than the number of stickers John had. After Kevin gave 96 stickers to John, John had twice as many stickers as Kevin. How many stickers did John have at the end?

Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the heart beats over a lifetime of 68 years (ignore leap years). Round the decimal factor in your scientific notation answer to two decimal places. The number of heartbeats over a lifetime of 68 years is

You just drove your car 500 miles and used 60 gallons of gas. You know that the gas tank on your car holds 13 1/2 gallons of gas. Step 1 of 2: What is the most number of miles you can drive on one tank of gas?

The height, h, in metres, of the tide in a given location on a given day at "t" hours after midnight can be modelled using the sinusoidal function: h(t) = 5 sin [ π/6 († − 5)] + 7. (a) Find the maximum and minimum values for the depth, h, of the water. (b) What time is high tide? What time is low tide? (c) What is the depth of the water at 9:00 a.m.? I

At Edmonds Community College freshman need to take a 100 level Math and English plus optional Philosophy course. In any quarter the college needs to make available 4 less English sections than Math sections. In any quarter student demand for the optional Philosophy course is half as many sections as English sections. Available classrooms limit the total sections of all three courses to 64 Given these constraints how many sections of each course should the college make available each quarter to meet demand? Math sections English sections Philosophy sections

Find the value of the following: cos(tan-¹ 4/9)

Suppose you have borrowed two calculators from friends, but you do not know whether they are set to work in radians or degrees. You ask each calculator to evaluate cos3.14 . One calculator replies with an answer of -0.99999; the other calculator replies with an answer of 0.998499. Without further use of a calculator, how would you decide which calculator is using degrees? Explain your answer.

Suppose you bought XYZ stock 1 year ago for $6.52 per share and sell it at $9.56. You also pay a commission of $0.15 per share on your sale. What is the total return on your investment?

What type of triangle has side lengths 2, √12, and √19? A. not a triangle B. acute C. right D. obtuse

Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 60 feet, 40 feet, and 30 feet long. If the two shortest sides of quadrilateral EFGH are 6 feet long and 12 feet long, how long is the 2nd longest side on quadrilateral EFGH? A. 16 feet B. 18 feet C. 20 feet D. 24 feet

Line r has an equation of y-3 = 5(x + 4). Line s includes the point (3, 10) and is parallel to line r. What is the equation of line s? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

A researcher studies children in elementary school and finds a strong positive linear asso- ciation between height and reading scores. a) Does this mean that taller children are generally better readers? b) What might explain the strong correlation?

How much must be deposited today into the following account in order to have $50,000 in 5 years for a down payment on a house? Assume no additional deposits are made. An account with annual compounding and an APR of 6%

In a hydraulic system, an input piston has an area of 18.7.0 in² and an output piston with an area 90.0 in². A weight or resistance of 284 pounds is on the output piston. What is the pressure? 3,001 psi 59.4 psi 3.16 psi 11.46 psi

The midpoint of a segment is (6, -6) and one endpoint is (13,-1). Find the coordinates of the other endpoint. A. (-1,-11) B. (20, 4) C. (-1,4) D. (20, -11)

If the lengths of the legs of a right triangle are 5 and 7, what is the length of the hypotenuse? A. 2√3 B. 12 C. √74 D. √35

Find the value of the following: tan(cos-¹ 5/8) √(?)/ ( )