A box is to be made out of a 6 by 14 piece of cardboard. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. Find the length L, width W, and height H of the resulting box that maximizes the volume.

Answers

Answer 1
Answer: (2x +L)(2x+W) use this equation x represents the amount taken from each side note that the amount of x is subtracted twice from the length and width

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When h has the value 12 calculate 5h - 2
You play a game that involves drawing two numbers from a hat. There are 25 pieces of paper numbered from 1 to 25 in the hat. Each number is replaced after it is drawn. Find the probability that you will draw the 3 on your rst draw and a number greater than 10 on your second draw.
2a2b3 and -4a2b3 are like terms.a. Trueb. False
What are the solutions of the equation x6 + 6x3 + 5 = 0? Use factoring to solve.
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How many solutions does this system have? x-2y=2 y=-2+5a. infinitely many solutions
b. no solutions
c. two solutions
d. one solution

Answers

the system has one solution, x = 8, y = 3
In an equation system you'll have:

- System with more questions than equations: infinite solutions
- System with the same number of questions as equations: only one solution with as many answers as questions
- System with two or more independent and contradictory equations: zero solutions.

In this case you have two independent equations and two questions (x and y), so the answer is d, one solution.

What is one fourth divided by 2

Answers

One fourth is the same as 1/4 1. 2 ÷ 4. 1 Reciprocal 1. 1 × 4. 2 Multiply normally. 1/8=answer
1/8  is the answer because 2 Divied by 1/4 x 4/1= 8/1 or
1/4divide2=1/4x1/2=1/8

Annual Return...Probability15% ...0.2
20%...0.4
30% ...0.3
35% ...0.1
The table gives the probability distribution of the annual rate of return on the stock of MNP Company, Inc.

The expected value of the rate of return is ______%.

Answers

Answer: The expected value of the rate of return is 23.5%.

Step-by-step explanation:

Since we have given that

Annual Return                   Probability

15%                                       0.2

20%                                      0.4

30%                                      0.3

35%                                      0.1

We need to find the expected value of the rate of return:

As we know the formula for "Expected value ": E(x)=\sum xp(x)

So, it becomes,

E(X)=15* 0.2+20* 0.4+30* 0.3+35* 0.1=23.5\%

Hence, the expected value of the rate of return is 23.5%.

Calculation:
15%*0.2 + 20%*0.4 + 30%*0.3 + 35%*0.1 = 23.5%

Answer:
The expected value of the rate of return is 23.5%

 

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.2b4+5

Answers

In this case, the greatest common factor IS 1;

There is no number or variable that divides evenly into both 2b^4 and 5, so you leave it as 2b^4 + 5.

-3 progression 8 common difference what is the 28th term

Answers

the answer for this problem would be 213

PLEASE ANSWER ASAP: Danielle's wallet had $2.65 in change:all quarters,dimes and nickels. She had 3 times as many quarters as dimes and one more dime than nickels. How many of each coin did she have?SHOW WORK

Answers

We can write an equation in terms of n, the amount of nickels:

25(3n+3)+10(n+1)+5n=265.

Thus:

90n+85=265

Subtracting 85, we have:

90n=180

Therefore, n=2.  As such, Danielle has 2 nickels, 3 dimes, and 9 quarters.
2.65=3x(25)+x(10)+(x-1)(5)
9 quarters 3 dimes 2 nickels
9*.25+2.25
3*.10=.30
2*.5=10
2.25+.30+.10=2.65