Math Questions

A spotlight on the ground is shining on a wall 24m away If a woman 2m tall walks from the spotlight toward the building at a speed of 0.8m/s, how fast is the length of her shadow on the building decreasing when she is 4m from the building? Answer (in meters per second)

2. (a) Use bubble sort to sort 4, 2, 6, 5, 3, 1, showing the list obtained after each pass. (b) Use insertion sort to sort 4, 2, 6, 5, 3, 1, showing the list obtained after each pass. (c)] Use the greedy algorithm to make change using quarters, dimes and pennies for 40 cents.

Which of these pieces of data about a package delivered by the post office is considered categorical data? A. Surface area B. Weight C. Volume D. Drop-off location

(A) Estimate the area under the graph of f(x)=2x³ +3 from x = -1 to x=5, first using 6 approximating rectangles and right endpoints, and then improving your estimate using 12 approximating rectangles and right endpoints 6 Rectangles = 12 Rectangles (B) Repeat part (A) using left endpoints. 6 Rectangles = 12 Rectangles = (C) Repeat part (A) using midpoints 6 Rectangles 12 Rectangles =

Multiply the expressions. x²-11x+30/x²-2x-24 * x²-16/X²-25

10/11. A plane flying at 37,000 feet starts its descent when it is 150 miles away from the airport. At what constant angle of descent does the plane approach? To the nearest 10th of a degree. Helpful hint: 5280 feet = 1 mile

The value of an explanatory variable is 10, while the corresponding value of the response variable is 5. What would be the coordinates of this data point when plotted on a scatterplot? A. (10,5) B. (5, 15) C. (5, 10) D. (15,5)

Find all solutions of this equation in the interval [0, 2π): 2 cos(x) + 1 = 0

Each of 11 pieces of paper contains a different number from (4,6,7,9,10,11,12,13,15,17,19). The pieces of paper are folded and placed in a bag. In selecting a piece of paper without looking, find the probability of selecting an odd number or a number that is at least 12. 1/8 9/11 7/11 8/11

Select ALL of the following that are Pythagorean Triples. (There may be more than one so please select all triples.) 7, 24, 25 12, 15, 19 3,4,5 6, 8, 14 11, 13, 17 4, 5, 6

If there are 8 values in a data set, in order from smallest to largest, what is the median of the data set? A. The mean of the 4th and 5th values B. The 4th value C. The mean of the 5th and 6th values D. The 5th value

19.In a standard deck of playing cards, there are 4 suits (diamonds, hearts, spades, and clubs) and 13 cards (Ace, 2, 3, ... through King) for each suit. What is the probability that a card drawn at random is either an Ace or a diamond?

3/4. Looking down from the top row of Cornuelle lecture hall, you notice that the angle of depression to the floor seems to be pretty steep, about 70 degrees. If the distance you walk up the stairs to get to the top row is 28 feet, how high above the floor is the top row? Round to the nearest 10th. Picture Equation: Answer:

The polynomial given below has___root(s). 3x²-8x+4 A. two positive B. two complex C. two negative D. one positive and one negative

(x²+x)(x²-1)/(x²-4) ( x² +8x+12) (x²+x)(x²-1)/(x²-4) ( x² +8x+12)= where x≠

Learning Target #8 - Interpret independence of events A and B using conditional probability. If P(B|A)=P(B) then events A and B are Independent Cannot Determine Dependent

Solve the triangle. b=10, c= 8, A = 50° a≈ B≈ C≈

One bag of lawn fertilizer can cover approximately 5,000 square feet. Mike's lawn is about 500 square feet. When Mike applies fertilizer to his lawn, he applies it to 3/4 of his lawn only. About how many complete times can Mike fertilize his lawn with one bag of fertilizer? a) 13 b) 10 c) 1 d) 14

At a middle school, 18% of all students play football and basketball and 32% of all students play football. What is the probability that a student plays basketball given that the student plays football?

Complete the steps to solve the equation 6x +1.6 = 58. Write the original equation. 6x= Apply the Subtraction Property of Equality. x= Apply the Division Property of Equality. (Simplify your answer.)

The expression below is a sum of cubes. 125x³ +144 A. True B. False

Let f(x)=x-7/2x+6 Find an equation for the tangent line to the graph of f at x = 3. Tangent line: y =

Which polynomial represents the difference below? 8x³ + 5x + 6-(2x^7 + 3x) A. -2x^7 +8x³+8x+6 B. 6x^10+2x+6 C. -2x^7 + 8x³ + 2x+6 D. 10x^10 + 8x² +6

Which of these pieces of data about an animal at the zoo is considered numerical data? A. Gender B. Species C. Color D. Height

Which of the following correctly completes the square for the equation below? x+18x=0 A. (x+9)² = 81 B. (x+3/2)^2 = 9 C. (x+3)² = 9 D. (x+18)² = 81

For her birthday party, Jessica's father will let her choose one style of birthday cake, 1 kind of pizza, and 1 flavor of drink. There are 5 cake styles, 7 kinds of pizza, and 4 drink flavors to choose from. How many different ways can Jessica choose these items for her party? A. 140 B. 70 C. 35 D. 20

Consider the following vector function. r(t) = (7t2, sin(t)- t cos(t), cos(t) + t sin(t)), t> 0 (a) Find the unit tangent and unit normal vectors T(t) and N(t). T(t) = N(t) = (b) Use this formula to find the curvature. k(t) =

Fill out the table of values and select whether each function is odd, even or neither. For the trig functions, make sure your calculator is in radian mode. You may only submit once the tables of values have been filled out correctly. Note: An expression like sinx+ 5 should be typed as sin (x) + 5.

A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material for the sides of the can costs 0.02 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h: height of can, r: radius of can Volume of a cylinder: V = π²h Area of the sides: A=2πrh Area of the top/bottom: A=πr² To minimize the cost of the can: Radius of the can: Height of the can: Minimum cost: cents

Which of the following describes a permutation? A. The boss selected 5 workers to be on a planning committee. B. A teacher arranged 5 students in a row from shortest to tallest. C. George ordered 5 toppings to put on a supreme pizza. D. Anna chose 5 sweaters from her closet to donate to charity.

What number would you add to complete the square for the equation below? x² + 6x = 0

Which of the following shows the polynomial below written in descending order? 3x³ +9x7-x+ 4x12 A. -x+3x³ +9x7 + 4x¹2 B. 4x12 + 9x + 3x³ - x C. 9x7 + 4x¹2 + 3x³ - x D. 3x³ + 4x¹2 + 9x²-x

A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward first base with a speed of 22 ft/s. At what rate is his distance from second base changing when he is halfway to first base? Answer= ft/s At what rate is his distance from third base changing at the same moment? Answer=ft/s

If an arrow is shot straight upward on the moon with a velocity of 72 m/s, its height (in meters) after t seconds is given by s(t) = 72t - 0.83t² What is the velocity of the arrow (include units) after 8 seconds? How long will it take for the arrow to return and hit the moon (include units)? With what velocity (include units) will the arrow hit the moon?

If you flip the reciprocal parent function, F(x) = 1/x, across the y-axis, what is the equation of the new function? A. G(x) = -¹/-x B. G(x) = 1/x-1 C. G(x) = 1/x - 1 D. G(x) = x

The solution to a two-variable system is the point on a graph at which the lines cross. A. True B. False

Shopping While shopping for clothes, Tracy spent $34 less than 3 times what Jaclyn spent. Tracy spent $11. Write and solve an equation to find how much Jaclyn spent. Let x represent how much Jaclyn spent. The equation that can be used to determine how much Jaclyn has spent is Jaclyn spent $

If a sample of 187 bowlers were taken from a population of 999 bowlers, x could refer to the mean of how many bowlers' scores? A. Both 187 and 999 B. 187 C. 999 D. Neither 187 nor 999

A road perpendicular to a highway leads to a farmhouse located 2 mile away. An automobile traveling on the highway passes through this intersection at a speed of 55mph. How fast is the distance between the automobile and the farmhouse increasing when the automobile is 2 miles past the intersection of the highway and the road? The distance between the automobile and the farmhouse is increasing at a rate of ______miles per hour

The mean is the average of the numbers. Add up all the numbers, then divide by how many numbers there are. Reminder: there are 15 numbers 7.5, 6.5, 8, 10, 9, 9.5, 5.5, 8, 7.5, 6.5, 6, 8, 7.5, 10, 10.5 Data set:

Which of the following are solutions to the equation below? Check all that apply. x² + 10x + 25 = 8 A. x = 2√2-5 B. x = √17-10 C. x = -2-√√2-5 D. x = 8 + √√5 E. x = 8 - √5 F. x = -√17-10

The top and bottom margins of a poster are 2 cm and the side margins are each 2 cm. If the area of printed material on the poster is fixed at 388 square centimeters, find the dimensions of the poster with the smallest area Width= Height=

A 16 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time t = 0 and slides away from the wall at a rate of 3ft/sec Find the velocity of the top of the ladder at time t = 2

Consider the function f(x), for which f(0) = 5 and f'(0) = 11. Find h'(0) for the function h(x) = 1/ f(x) h' (0) =

If you vertically shift the quadratic parent function, F(x) = x2, up seven units, what is the equation of the new function? A. G(x) = x² +7 B. G(x)=x2-7 C. G(x) = 7x² D. G(x) = (x + 7)²

Given that f(z) = 2x+cos(x) is one-to-one, use the formula (f ¹)'(x) = 1/ f'(f ¹(x)) to find (f ¹)'(1). (ƒ˜¹)'(¹) =

A personnel director in a particular state claims that the mean annual income is the same in one of the state's counties (County A) as it is in another county (County B). In County A, a random sample of 15 residents has a mean annual income of $42,300 and a standard deviation of $8500. In County B, a random sample of 9 residents has a mean annual income of $39,600 and a standard deviation of $6000. At a=0.01, answer parts (a) through (e). Assume the population variances are not equal. Assume the samples are random and independent, and the populations are normally distributed. (a) Identify the claim and state Ho and Ha Which is the correct claim below? A. "The mean annual income in County A is greater than in County B." B. "The mean annual incomes in Counties A and B are not equal." C. "The mean annual income in County A is less than in County B." D. "The mean annual incomes in Counties A and B are equal."

Find a formula for f-¹(x) if f(x) = (x-1 / x+1) ^3 ƒ-¹(x) = (ƒ-¹)'(x) =

Solve the system of equations below by graphing them with a pencil and paper. Choose the correct ordered pair (b, u). u=-b+21 u=-2b+30 A. (5, 15) B. (9,12) C. (15,5) D. (12,9)

A restaurant serves dessert in a cone-shaped dish with a diameter of 7 cm. If the dish is 10 cm deep, how many cubic centimeters of dessert can the dish hold? Use 3.14 to approximate the answer to two decimal places if necessary. 512.87 cm3 128.22 cm³ 384.65 cm³ 73.27 cm³