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You are constructing a box from a piece of cardboard with dimensions 6 by 8 meters. You cut equal-size squares from each corner of the cardboard so you may fold the edges to construct the open top box. What are the dimensions of the box with the largest volume?
General
2 months ago
Penny played two games of Pac-Man. The points she scored in her second game was 3/4 of the points she scored in her first game. She scored a total of 280 points from the two games. How many points did she score in her first game?
General
2 months ago
A cylinder and a cone have the same diameter: 10 inches. The height of the cylinder and the cone is the same: 12 inches. Use π = 3.14. What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)
General
2 months ago
The given line passes through the points (0, -3) and (2, 3).What is the equation, in point-slope form of the line that isparallel to the given line and passes through the point(-1, -1)?y+1 = - 3(x + 1)+1 = -(x + 1)v+1 = $(x + 1)5-3 -2 1/134y + 1 = 3(x + 1)Save and ExitMark this and return
General
2 months ago
Which ordered pair is a solution to the system of equations y=x+3 and y=x^2-x
General
2 months ago
Find the rectangular coordinates of the point with the polar coordinates ordered pair negative 7 comma 5 pi divided by 3 . (1 point)
General
2 months ago
18. A region has an area of 42 square meters. It must be divided into the threesubregions so that the second has twice the area of the first, and the third has twicethe area of the second. Find the area of each subregion.
General
2 months ago
Alicia walks 4 miles in 1 hour and can speed walk 5 miles in 1 hour. What percent of Alicia's average speed walking rate is her average walking rate?
General
2 months ago
Formulate but do not solve the following exercise as a linear programming problem.A company manufactures x units of product A and y units of product B, on two machines, I and II. It has been determined that the company will realize a profit of $2 on each unit of product A and $4 on each unit of product B. To manufacture a unit of product A requires 7 min on machine I and 3 min on machine II. To manufacture a unit of product B requires 9 min on machine I and 3 min on machine II. There are 154 min available on machine I and 66 min available on machine II in each work shift. How many units of a product should be produced in each shift to maximize the company's profit P?P =______ subject to the constraints.machine I ______.machine II _______.x = 0 ________.y = 0 _________.
General
2 months ago
A bag includes one number card each for the numbers 1 to 25. 25 students randomly select a number card from the bag. Carrie says that if the number is the input and the student is the output, the relationship is a function. Mario says that if the student is the input and the number is the output, the relationship is a function. Who is correct?
General
2 months ago
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees who have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees who have been with the company for at least three years, but fewer than six years can expect an increase of $1.00. Employees who have been with the company for at six years, but fewer than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but fewer than twelve years receive an increase of $2.00. Which of the following tables accurately represents the hourly wage increase for some of the employees?
General
2 months ago
Perform the polynomial division. Then place the answer in the proper location on the grid. Do not include parentheses in your answer. (27ax3 – 9a2x) ÷ 3ax
General
2 months ago
An employee does not earn sales commission for the first $1000 of sales, but earns 15% sales commission on all sales made thereafter. The employee's daily sales were as follows this week: Monday - $800, Tuesday - $600, Wednesday - $1,300, Thursday - $800, and Friday - $800. How much sales commission did the employee earn this week?
General
2 months ago
The graph shows the distances traveled by two cars over several hours.Which car is moving at a faster rate?Select from the drop-down menu to correctly complete the statement.Car____ is moving at a faster rate.options : A or B
General
2 months ago
Determine whether the function rule models discrete or continuous data. Function # 1: A movie store sells DVDs for $15 each. The function C(d) = 15d relates the total cost of movies to the number purchased d. Function # 2: A produce stand sells roasted peanuts for $2.99 per pound. The function C(p) = 2.99p relates the total cost of the peanuts to the number of pounds purchased p.
General
2 months ago
Luisa enjoys shopping, but she typically spends too much money on clothes and ends up struggling to afford necessities for the rest of the month. How would a budget help Luisa? (A.) It would make even more money available for her to spend.(B.) It would force her to stop spending money and instead to start saving money.(C.) It would allow Luisa to know how much money she can spend on clothes without putting her finances at risk.(D.) It would convince Luisa that money is meant to be saved, not spent.
General
2 months ago
I will make the right answer the brainliest, no lie. Given that point P is equidistant from the vertices of ΔDEF, what is EF? EF=
General
2 months ago
Given: ΔABC is a right triangle. Prove: a2 + b2 = c2 Right triangle BCA with sides of length a, b, and c. Perpendicular CD forms right triangles BDC and CDA. CD measures h units, BD measures y units, DA measures x units. The following two-column proof with missing justifications proves the Pythagorean Theorem using similar triangles: Statement Justification Draw an altitude from point C to Line segment AB Let segment BC = a segment CA = b segment AB = c segment CD = h segment DB = x segment AD = y y + x = c c over a equals a over y and c over b equals b over x a2 = cy; b2 = cx a2 + b2 = cy + b2 a2 + b2 = cy + cx a2 + b2 = c(y + x) a2 + b2 = c(c) a2 + b2 = c2 Which is not a justification for the proof? Pieces of Right Triangles Similarity Theorem Side-Side-Side Similarity Theorem Substitution Addition Property of Equality
General
2 months ago
Heba ate 1/12 of a box of cereal. Now the box is 3/4 full.What fraction of a full box was there before Heba ate?
General
2 months ago
the circle shown below is centered at the origin and contains the point (-4,-2). Which of the following is closest to the length of the diameter of the circle?
General
2 months ago
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