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2 years ago

Evaluate. 4^3 + 8^2 = ??

Mathematics

2 answers:

lesantik [10]2 years ago

8 0

Hopes this helps:

Answer: 128

Simplify 4^3 to 64.

64 + 8^2

Simplify 8^2 to 64.

64 + 64

Simplify.

128

katen-ka-za [31]2 years ago

7 0

Answer: 128

Step-by-step explanation:

$4^3 = 4*4*4 = 16*4 = 64$

$8^2 = 8*8 = 64$

$64+64 = 128$

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Help me!! A water tank is 1/8 full. The tank is 3/4 full when 42 gallons of water is added to the tank. How much can the water t

chubhunter [2.5K]

Answer(s):

1.) 56 gallons

2.) 7 gallons

3.) 28 gallons

Step-by-step explanation:

Q1: How much water can the tank hold?

Based on the question, we know that 3/4 of the tank equals 42 gallons. Divide 42 by the numerator, 3.

42/3 = 14

Now, multiply 14 by the denominator, 4.

14 x 4 = 56.

So, the tank can hold 56 gallons. [If you'd like to double check this answer, take the fraction 42/56 and simplify it to get 3/4.

Q2: How much water was originally in the tank?

We know that the tank's maximum capacity is 56 gallons. So, if it was 1/8 originally full, multiply 56 by 1/8. [Remember that 56 as a fraction can be written as 56/1]

1/8(56/1) = 7

This means that the tank was originally 7 gallons full. [If you'd like to double check this answer, take the fraction 1/8 and multiply the numerator and denominator by 7. This gets you 7/56, or 7 gallons out of the total capacity, 56 gallons.]

Q3: How much water is in the tank when it is 1/2 full?

Earlier, we found out that the maximum capacity of the tank is 56 gallons. To find out how many gallons it holds when its half full, divide 56 by 2.

56/2 = 28

So, when the tank is 1/2 full, it contains 28 gallons. [If you want to double check this answer, take the fraction 28/56 and simplify it. When you do, you get 1/2.]

5 0

3 years ago

Read 2 more answers

The histogram represents a data distribution with uniform class widths 1.

aliina [53]

I think it’s b... I don’t but i tried if it is wrong I’m sorry if it was right your welcome

4 0

3 years ago

Read 2 more answers

onsider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutti

Sholpan [36]

Answer:

V (max) = 2 ft³

and x side of the base is x = 0,5 feet

Step-by-step explanation: See annex ( two different cubes)

We have a square piece of cardboard of 3 inches wide

Let x be lenght of side to cut in each corner

Then the base of the (future cube) is 3 - 2x, and the area is

( 3 - 2x )²

And the height is x Then volume of the cube as a function of x is:

V(x) = ( 3 - 2x )² *x or V(x) = ( 9 + 4x² - 12x )*x

V(x) = 4x³ - 12x² + 9x

Taking derivatives on both sides of the equation

V´(x) = 12x² - 24x + 9

V´(x) = 0 12x² - 24x + 9 = 0 simplifying 4x² - 8x + 3 = 0

Second degree equation solving for x

x₁,₂ = [ 24 ± √( 576) - 432 /24

x₁,₂ = [24 ±√144 ]/24

x₁,₂ = ( 24 ± 12) /24 x₁ = 1.5 feet x₂ = 0,5 feet

Of these two values we have to dismiss x₁ because if x = 1.5 we don´t have a cube ( 0 height )

Then we take x = 0,5 feet

And

V (max) = (2)²*0,5 = 4*0,5

V (max) = 2 ft³

5 0

3 years ago

Can anyone help. I really need it.

levacccp [35]

Answer:

x+ (x+1) = 55

27, 28

Step-by-step explanation:

Let x = first number

x+1 is the next consecutive number

x+ (x+1) = 55

Combine like terms

2x+1 = 55

Subtract 1 from each side

2x+1-1 = 55-1

2x = 54

Divide by 2

2x/2 = 54/2

x = 27

The numbers are 27 and 28

5 0

2 years ago

Which of the following would effect an employee net pay

spayn [35]

The following effects that can effect a regular employee's pay is from their effort and time. The effort connects to the time because by doing something that they are hired to be, they get paid from their time and hard work. The time is how long they have been working, the longer they do, the most cash they earn, the less time they do, they get a minimum amount of cash.

6 0

3 years ago