4 ft. by 4ft by 8 ft what is the volume in cubic feet

Answers

Answer 1

Answer:

The volume of the rectangular prism will be 128 cubic feet.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the rectangular prism is given as

V = L x W x H

The dimension of the prism is given below.

4 ft by 4ft by 8 ft

Then the volume of the rectangular prism will be

V = 4 x 4 x 8

V = 128 cubic feet

More about the volume of the prism link is given below.

brainly.com/question/16246207

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Answer 2

Answer: Volume (V) = length (l) x width (w) x height (h)
V = 4 x 4 x 8
4x4 = 16, 16 x 8 = 144
V = 144 ft (cubed)

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The government’s claims that students earn an average of $4,500 during their summer break from studies. A random sample of students gave had a sample average of $3,975 and a 95% confidence interval was found to be $3,525 < µ < $4,425. This interval is interpreted to mean that:a. because our specific confidence interval does not contain the value $4500 there is a 95% probability that the true average summer earnings is not $4500.b. if we were to repeat our survey many times, then about 95% of all the confidence intervals will contain the value $4500.c. if we repeat our survey many times, then about 95% of our confidence intervals will contain the true value of the average earnings of students.d. there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

Answers

Answer:

d. there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

Step-by-step explanation:

95% confidence interval $3,525 < µ < $4,425 suggests that (choice d) there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

This result also suggests that (choice a) the true average summer earnings is not $4500, because our specific confidence interval does not contain the value $4500. But 95% probability is about the interval $3,525 < µ < $4,425, not the value $4500.

Rewrite each expression by completing the square.
a. z^2 − 5z + 8
b. x^2 + 0.6x + 1

Answers

Answer:

The answer to your question is below

Step-by-step explanation:

z² - 5z + 8

Equal to zero z² - 5z + 8 = 0

Subtract 8 in both sides z² - 5z + 8 - 8 = 0 - 8

Simplify z² - 5z = -8

Divide -5 by 2 write the result

in both sides of the equation z² - 5z + (-5/2)² = -8 + (-5/2)²

to the power of 2

Simplify z² - 5z + 25/4 = -8 + 25/4

z² - 5z + 25/4 = -32/4 + 25/4

z² - 5z + 25/4 = -7/4

Factor (z - 5/2)² = -7/4

x² - 0.6x + 1

Convert 0.6 to a fraction 0.6 = 6/10 = 3/5

x² - 3/5x + 1

Equal to zero x² - 3/5x + 1 = 0

Subtract -1 in both sides z² - 3/5z + 1 - 1 = 0 - 1

Simplify z² - 3/5z = - 1

Divide -3/5 by 2 write the result

in both sides of the equation z² - 3/5z + (-3/10)² = -1 + (-3/10)²

to the power of 2

Simplify z² - 3/5z + 9/100 = -1 + 9/100

z² - 3/5z + 9/100 = -100/100 + 9/100

z² - 3/5z + 9/100 = -91/100

Factor (z - 3/10)² = -91/100

A line has slope –5(over)3 . Through which two points could this line pass? (1 point)(12, 13), (17, 10)
(16, 15), (13, 10)
(0, 7), (3, 10)
(11, 13), (8, 18)

Answers

The points of the line that has a slope of -5 over 3 is (11,13) (8, 18). This can be computed using the formula of finding the slope of a line which m = y2-y2 over x2-x1. This is computed as follows:

m = 18-13 over 8 - 11
m= 5 over -3 or simplified to m= -5 over 3

Answer: Rate of Change and Slope Quick Check

C. -1/3

D. (11,13) (8,18)

B. -2

D. Undefined

D. 55/1

Step-by-step explanation:

What are the values of x in the equation x(x-6)=4(x+6)

Answers

$x(x-6)=4(x+6)\ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\n\nx(x)+x(-6)=4(x)+4(6)\n\nx^2-6x=4x+24\ \ \ \ |subtract\ 4x\ and\ 24\ from\ both\ sides\n\nx^2-10x-24=0\n\nx^2-12x+2x-24=0\n\nx(x-12)+2(x-12)=0\iff(x-12)(x+2)=0\n\ntherefore\n\nx-12=0\ or\ x+2=0\n\nAnswer:\boxed{x=12\ or\ x=-2}$

        x(x - 6) = 4(x + 6)
    x(x) - x(6) = 4(x) + 4(6)
     x² - 6x = 4x + 24
         - 4x - 4x
     x² - 10x = 24
x² - 10x - 24 = 24 - 24
x² - 10x - 24 = 0
x = -(-10) +/- √((-10) - 4(1)(-24))
   2(1)
x = 10 +/- √(100 + 96)
   2
x = 10 +/- √(196)
2
x = 10 +/- 14
2
x = 5 + 7
x = 5 + 7 U x = 5 - 7
x = 12    x = -2
The values of x in the equation is either equal to 12 or -2.

Find the gradient of the line segment between the points (-2,3) and (-4,-2).Give your answer in its simplest form.