Math Questions

Marci earns $8 an hour. Write an equation that shows the direct proportionality between hours (h) and money earned (m). A. 8h=m C. 8mh B. 8m = h D. none of the above

The equation t = -1/1.008 ln(12.3/W - 0.5) is a mathematical model for the relationship between the weight W (in grams) of an individual leaf of a wheat plant and the number of days t since the leaf unfolded from the stalk of the plant. The weight of a certain leaf is 13.1 grams. According to this model, how many days ago did the leaf unfold? (Round to the nearest tenth of a day.) 0.4 days 1.5 days 1.4 days 0.8 days 0.5 days

Which of the following represents x = 1/3y written in general form? 3x - y = 0 x- 1/3y=0 1/3x-y=0

If you rolled a die, what is the probability that you would roll a 4 or a 5?

Grace is traveling to an island for vacation. She drives from home at a constant rate for the first 154 miles, then takes a ferry to travel the last 35 miles from the coast to the island. The ferry travels at a constant rate that is half the rate at which Grace drives. Given that the entire trip takes 4 hours, complete the statement below. Grace drives at a rate of miles per hour.

A trigonometric function models the monthly rainfall of a city, which reaches a maximum monthly rainfall of 8 inches in the spring and fall and a minimum monthly rainfall of 0 inches in the summer and winter. if(t) models the monthly rainfall & months from when the monthly rainfall started being recorded for the city, what is the domain of function r ? A. [0, 8] B. (-∞, ∞) C. [0, ∞) D. [8,∞]

Let u = i +6j and v=-4i +4j. Decompose u into two vectors u₁ and u₂, where u₁ is parallel to v and u₂ is orthogonal to v. Write your answers in the form ai+bj.

Solve |2x + 2| = 10. A. x = 4 and x = 6 B. x = 4 and x = -6 C. x = 4 and x = -4 D. x = -4 and x = -6

Write a direct proportion equation that shows the price (y) for any number of posters (x) that are $2.50 each. A. y = kx B. 2.50x=y C. $2.50 = yx D. 2.50y = x

Which value of r indicates a stronger correlation: r=0.711 or r= -0.886? Explain your reasoning. Choose the correct answer below. A. r=0.711 represents a stronger correlation because 0.711> -0.886. B. r=-0.886 represents a stronger correlation because | -0.886]> |0.711|. C. r=-0.886 represents a stronger correlation because 0.711 > - 0.886. D. r=0.711 represents a stronger correlation because | -0.886| > |0.711|.

Which of these is a factor in this expression? 6z^4 - 4+9 (y³+6) A. (y³ + 6) B. 9 (y³ + 6) C. -4+9 (y³ + 6) D. 6z^4-4

Suppose a jar contains 17 red marbles and 33 blue marbles. If you reach in the jar and pull out 2 marbles at random without replacement, find the probability that both are red.

Solve 4|x + 5| = 16. A. x= -1 and x = 9 B. x = -1 and x = − 9 C. x= 1 and x = -9 D.x= 1 and x = -1

Theo's kitchen is 192 square feet. A blueprint of his kitchen is created with the scale 1 inch: 4 feet. What is the area of the kitchen on the blueprint?

Which of the following is a name for an isometry that moves or maps every point of the plane the same distance and direction? Select all that apply. flip glide rotation slide translation

Determine the number of outcomes in the event. Decide whether the event is a simple event or not. You randomly select one card from a standard deck of 52 playing cards. Event C is selecting a club. Event C has outcome(s). Is the event a simple event? because event C has one outcome.

Solve |6x + 3| = 27. A. x = -4 and x = -5 B. x = -4 and x = 5 C. x = 4 and x = -5 D. x = 4 and a = - 4

Solve 9 ax + 10ax = 11ax + 32 for x. Assume a 0. A. x = 4a B. x = 8a C. x = 4/a D. x = 1/8a

Mia has 50 feet of fencing to make a rectangular kennel for her dog. She decides to use a part of her house as one side of the kennel. She needs a minimum enclosed area of 300 square feet. Of the inequalities listed, which forms of the inequality represent this situation? -2/² +50/-300 ≥ 0 (/-15)(/-10) ≥ 0 /(50-20/) ≥ 300 (/-15)(/-10) ≤ 0 /(2/-50) ≥ 300 -2/² + 50/- 300 ≤ 0

For a candy-making competition, Tanya made 3 kinds of candies. She made 3 times as many orange candies as pineapple candies. She made 30 more lemon candies than pineapple candies. The ratio of orange candies to lemon candies was 2 to 1. Which equation could be used to find the number of pineapple candies Tanya made for the competition? 3n+ 2n = 30 3n/n+30 = 2 2.3n = 1.(n + 30) n+30/3n = 2

Which value of r indicates a stronger correlation: r=0.837 or r= -0.921? Explain your reasoning. Choose the correct answer below. A. r=0.837 represents a stronger correlation because | -0.921|> |0.837|. B. r= -0.921 represents a stronger correlation because | -0.921|> |0.837|. C. r=0.837 represents a stronger correlation because 0.837> - 0.921. D. r= -0.921 represents a stronger correlation because 0.837> -0.921.

Click on the graphic to select the figure that would make the following "a reflection in line k."

A car purchased for $25,000 depreciates annually at a rate of 11%. The value of the car t years after its purchase is given by the expression 25,000(0.89). Which expression represents the quarterly depreciated value at the rate at which the car is depreciating? A. 25,000(0.89^4 )^4t B. 25,000(0.89^4)^1/4 t C. 25,000(0.89^1/4)^1/4 t D. 25,000(0.89^1/4)^4t

Evaluate 4(x − 3) + 5x − x² for x = 2. A. 2 B. 11 C. 16 D. -2

Consider this equation. 10x +25/3x + 12=5x/x+4 How many valid solutions does the equation have? The equation has valid solution(s).

A map that was created using a scale of 1 inch : 3 miles shows a lake with an area of 4.5 square inches. What is the actual area of the lake?

3, 4, 5, 5, 6, 9, 12 What is the range? A. 9 B. 5 C. 12 D. 7

Jason hired a luxury car service. The service charges a fixed rate of $4.92, regardless of the number of miles traveled, plus an additional $3.79 per mile. If Jason wants to spend no more than $4.20 per mile, what is the minimum number of miles he should travel? 12 1 6 0

The y-intercept of the parent quartic function, f(3) = 4, is translated 3 units to the right and 1 unit down. Which equation represents this transformation? A g(t) = (x-3)^4 - 1 B. g(t) = (x+3)^4 - 1 C. g(s) = (x-1)^4 +3 D. g(x) = (x+1)^4 +3

A retailer is having a promotional sale for 35% off all items. There is a 7% sales tax added to the price. Which represents the situation, where x is the original cost of the item(s)? f(x) = 0.35x represents the discount price and g(x)=0.07x represents the price after taxes. The total price would be (f.g)(x) = 0.35(0.07x) = 0.0245x. f(x) = 0.65x represents the discount price and g(x)=0.07x represents the price after taxes. The total price would be (f.g)(x) = 0.65(0.07x)=0.0455x. f(x) = 1.07x represents the price after taxes and g(x) = 0.65x represents the discount price. The total price would be (f.g)(x) = 1.07(0.65x)=0.6955x. f(x) = 1.07x represents the price after taxes and g(x) = 0.35x represents the discount price. The total price would be (f.g)(x) = 0.35(1.07x) = 0.3745x.

A rotation is an isometry that moves a plane across a line of symmetry moves a plane in a straight line motion moves a plane as a nor image moves a plane about a fixed point

Consider this product. x^2-3x-10/x^2-6x+5 . x-2/x-5 The simplest form of this product has a numerator of and a denominator of The expression has an excluded value of x =

The height of a vertical cliff is 450 meters. The angle of elevation from a ship to the top of the cliff is 23°. The ship is x meters from the bottom of the cliff. Draw a diagram to show this information, then solve for x.

Finance. Suppose that $4,100 is invested at 3.2% annual interest rate, compounded monthly. How much money will be in the account in (A) 10 months? (B) 20 years? (A) Amount after 10 months: $ (Round to the nearest cent.)

A bag contains three red peppers and four green peppers. You take a pepper from the bag and eat it. You then take another pepper and eat it. a. Calculate the probability you eat two red peppers. b. Calculate the probability you do not eat a red pepper. c. Calculate the probability you eat at least one red pepper.

A transformation T: (x,y) → (x + 3, y + 1). The image of B(4, 1) under this transformation is (7.2) (1, 0) (-1,0)

What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 4x + y - 1 = 0? 4x-y-6=0 4x+y+6=0 4x+y-6=0

Solve |x+6 |- 7 = 8. A. x = -9 and x = -21 B. x = 9 and x = − 21 C.x = 9 and x = -9 D. x = -9 and x = 21

Select the correct answer. When two pumps are used, they can fill a tank in 60 minutes. When the first pump is used alone, the tank will be filled in 150 minutes. When x represents the time it takes the second pump to fill the tank when used alone, the situation is represented by this equation: 1/150 + 1/x = 1/60 How long would it take the second pump, working alone, to fill the tank? A 75 minutes B. 90 minutes C 100 minutes D. 120 minutes

Two samples are taken with the following numbers of successes and sample sizes r1 = 30 r₂ = 22 n₁ = 75 n₂ = 77 Find a 94% confidence interval, round answers to the nearest thousandth. ____<P1-P2<___

If no denominator equals zero, which expression is equivalent to x^2+10x+25/x+5 - x^2-6/x-5? A. 2x^2-19/x-5 B. 2x^2-19/x^2-25 C. 19/x-5 D. -19/x-5

Use geometric formulas to find the unsigned area between the graph of y=f(x) and the x-axis over the indicated interval. f(x)=x+10; [-1,11] The area between f(x) and the x-axis is.____ (Type an exact answer, using as needed.)

Paper lanterns are $3.50 each. Write a direct proportion equation using p for paper lanterns and c for total cost. A. 3.50c = p B. 3.5pc C. 3.50+p=c D. 3.50p = c

A math class consists of 35 students, 20 female and 15 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement). (a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males? (c) What is the probability that two females are selected, then one male? (d) What is the probability that three males are selected? (e) What is the probability that three females are selected?

What is the slope of the line that passes through (-2, 7) and (4, 9)? slope = -1/3 slope = 3 slope = 1/3

A cat has a litter of 7 kittens. Find the probability that exactly 4 of the kittens are female. Assume that male and female births are equally likely. Estimate the probability to five decimal places if necessary. A) 0.00781 B) 0.54688 C) 0.27344 D) 2.1875

Jack invested $2,900 in an account paying an interest rate of 8 1/8% compounded annually. Anthony invested $2,900 in an account paying an interest rate of 8 1/2% compounded continuously. After 10 years, how much more money would Anthony have in his account than Jack, to the nearest dollar?

What is the solution to this equation? 8x-5(x-3) = 18 A. x = 7 B. x = 5 C. x = 11 D. x = 1

Which function displays this end behavior? As x approaches negative infinity, y approaches negative infinity. As x approaches positive infinity, y approaches negative infinity. A y = (2x)^1/3 - 7 B. y = -3x^2 + 4 C. y = -2x^3 - 1 D. y = -x^1/2 + 5

A baseball is travelling on a path given by the equation y = -0.011x² + 1.15x + 1.22. The profile of the bleachers in the outfield can be modelled with the equation y = 0.6x - 72. All distances are in metres. a) Determine the maximum height of the ball. b) Does the ball reach the bleachers for a home run? Justify your answer.