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Ernesto, the magnificent unicorn stallion, covered a distance of 50 kilometres on his first trip to Zalsazaria. On a later trip, he travelled 300 kilometres while going three times as fast. What was his new time compared with the old time?
General
4 months ago
Find an expression for a cubic function f if f(4) = 96 and f(-4) = f(0) = f(5) = 0. Part 1 of 4 A cubic function generally has the form f(x) = ax3 + bx2 + cx + d. If we know that for some x-value x = p we have f(p) = 0, then it must be true that x − p is a factor of f(x). Since we are told that f(5) = 0, we know that x-5 Correct: Your answer is correct. seenKey x-5 is a factor. Part 2 of 4 Similarly, since f(−4) = 0, then f(x) has the factor x+4 Correct: Your answer is correct. seenKey x+4 , and since f(0) = 0, then f(x) has the factor x Correct: Your answer is correct. seenKey x .
General
4 months ago
5. Abbey Road Motors pays a percent commission to its sales people. They are paida percent of the profit the dealership makes on a car. If the profit is under $1,000,the commission rate is 20%. If the profit is at least $1,000 and less than or equal to$2,000, the commission rate is 20% of the first $1,000 and 24% of the remainder ofthe profit. If the profit is above $2,000, the rate is 20% of the first $1,000 of profit,24% of the next $1,000 of profit, and 29% of the amount of profit over $2,000. If prepresents the profit, express the commission c(p) algebraically as a split function.
General
4 months ago
Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for the area of the enclosed space is A = lw + 0.5bh. Solve for b. b = A/ IW + 0.5h b = A - IW / 0.5h b = A − lw − 0.5h b = A + lw + 0.5h
General
4 months ago
In psychology lab, Tetiana is conducting an experiment on depth perception using the Howard-Dolman box. Inside the box are two vertical rods and a horizontal ruler. The participant manipulates the rods until they appear to be aligned at the same distance away, then the experimenter measures how far out of alignment they are. There are three conditions: left eye only, right eye only, and both eyes. Tetiana is using a repeated-measures design. How is the independent variable being manipulated in Tetiana's design?
General
4 months ago
For each of the following variables, determine whether the variable is categorical or numerical. If the variable is numerical, determine whether the variable is discrete or continuous. In addition, determine the measurement scale. a. Time in hours spent exercising per month b. Whether telephone service in a household is provided by an Internet provider c. Number of landline telephones in the household d. Length left parenthesis in minutes right parenthesis of the longest telephone call made in a month e
General
4 months ago
The price of an airline ticket from St. Louis to Washington D.C. costs $250. A bus ticket costs $100. Traveling by plane takes 2 hours compared with 32 hours by bus. Other things constant, Andrew would gain by choosing air travel if, and only if, he values his time at more than a. $4.69 per hour. b. $5 per hour. c. $10 per hour. d. $75 per hour.
General
4 months ago
Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Express each of these sets in terms of A and B. a) the set of sophomores taking discrete mathematics in your school. b) the set of sophomores at your school who are not taking discrete mathematics. c) the set of students at your school who either are sophomores or are taking discrete mathematics. d) the set of students at your school who either are not sophomores or are not taking discrete mathematics.
General
4 months ago
If ΔABC ≅ ΔFDE, which of the following statements is true? ∠A ≅ ∠E ∠B ≅ ∠F ∠C ≅ ∠E ∠A ≅ ∠D
General
4 months ago
The diameter of a strand of rope is 1.2x10^-3inch. The diameter of a strand of floss is 2.0x10^-4inch. How much longer is the diameter of the strand of rope than the diameter of the strand of floss? A. 2.0x10^-7 inch B. 1.0x10^-7 inch C. 2.0x10^-3 inch D. 1.0x10^-3 inchNeed help as soon as possible giving points
General
4 months ago
Mr.Ruiz reads that 408 students at oakdale middle school take the bus. Bus riders represent 60% of the total number of students at the school. Mr. ruiz wants to know the total number of students at the school. What is the total number of students?
General
4 months ago
Mr. West is standing on a cliff that is 25 1/5meters above the surface of the ocean. He spots a dolphin that is 2 3/5 meters under the water. What was the total distance from Mr. West to the dolphin?
General
4 months ago
the depth was 64 feet. Currently, the depth is 80 feet. by what percent has the depth increased?
General
4 months ago
The first card selected from a standard 52-card deck was a king. It isreturned to the deck, what is the probability that a king will be drawn onthe second selection?A. 1/4 or 0.25B. 1/13, or 0.077C. 12/13, or 0.923D. 1/3 or 0.33None of the above
General
4 months ago
Carson is a high school student with two part time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour for clerical work. His goal is to earn at least $96 a week.Using b for babysitting hours and c for clerical hours, write an inequality that represents the situation.
General
4 months ago
Joy is preparing 20 liters of a 25% saline solution. She has only a 40% solution and a 10% solution in her lab. How many liters of the 40% solution and how many liters of the 10% solution should she mix to make the 25% solution?
General
4 months ago
You have your heart set on buying a new car in 2 years. You invest $3,200 at 3.75% interest compounded continuously. How much money will have to use for your down payment on your new car
General
4 months ago
a store sells a 3lb bag of oranges for $3.60 and a 5 pound bag of oranges for $5.25 what is the difference between the price per pound for the three pound bag of oranges and the price per pound for the 5 lb bag of oranges? pls answer, and give step-by-step explanation
General
4 months ago
Recall the formula for finding the area of a rectangle. Define a variable for the width and set up an equation to find the dimensions of a rectangle that has an area of 144 square inches, given that the length is 10 inches longer than its width.
General
4 months ago
The base of a triangle is seven more than twice the height. The area of a triangle is 186 yd.² find the measure of the base in the height of the triangle
General
4 months ago
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