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2 years ago

If the side lengths of a cube are 16 feet how do you write it in exponential form

Mathematics

1 answer:

Kamila [148]2 years ago

7 0

To write 16 in exponetial form you get 4^2.
But to get the volume of the cube in exponential form is 16^3

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The line graph shows the number of space shuttle launches by the United States from 1981 through 1986.

Nitella [24]

Answer:

The number of space shuttle launches the greatest in the year 1985 (C)

Step-by-step Explanation:

According to the graph given in the attachment, the no. of launches made in those years are:

1981: 2
1982: 3
1983: 4
1984: 5
1985: 9
1986: 6

The no. of launches was greatest in the year 1985 and the line graph touches the highest peak in 1985 $.$

4 0

2 years ago

Lilth makes soap and lotion. It takes her 20 minutes to make a batch of soap and 35 minutes to make a batch of lotion. The cost

fgiga [73]

Answer:

Step-by-step explanation:

Let x represent the number of batches of soap that Lilth makes.

Let y represent the number of batches of lotion that Lilth makes.

It takes her 20 minutes(20/60 = 1/3 hours) to make a batch of soap and 35 minutes(35/60 = 7/12 hours) to make a batch of lotion. Lilth has 20 hours available to make soap and lotion. This means that

x/3 + 7y/12 = 20

4x + 7y = 240- - - - - - - - - - -1

The cost of producing each batch are $5 for the soap and $15 for the lotion. The materials to make the soap and lotion must cost at most $325. This means that

5x + 15y ≤ 325 - - - - - - - - -2

4x = 240 - 7y

x = (240 - 7y)/4

Substituting

5(240 - 7y)/4 + 15y ≤ 325

(1200 - 35y)/4 + 15y ≤ 325

1200 - 35y + 60y ≤ 1300

25y ≤ 1300 - 1200

25y ≤ 100

y ≤ 100/25

y ≤ 4

4x + 7 × 4 = 240

4x + 28 = 240

4x = 212

x = 212/4 = 53

Therefore, the solution (53, 4) means that she would make at most 53 batches of soap and at most 4 batches of lotion

6 0

2 years ago

Giving brainliest for both answers! :>

maks197457 [2]

Answer:

c and b

Step-by-step explanation:

7 0

2 years ago

PLS HELP, WILL REWARD BRAINLIEST!!

Charra [1.4K]

Answer:

Step-by-step explanation:

8 0

2 years ago

A line has the same slope as the line 3x+9y=5 and passes though the point (-1,2).what is the equation of the line?

MrRissso [65]

Answer:

y = -1/3x + 5/3

Step-by-step explanation:

First solve the equation. Simply put it is y = -1/3x + 5/9.

So, we have our slope which is -1/3. Now just plug it in.

y - y1 = m(x - x1)

y - 2 = -1/3(x - (-1))

Distribute.

y - 2 = -1/3x - 1/3

Add 2 to both sides

you get y=-1/3x + 5/3

6 0

2 years ago