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2 years ago

Is 12 or -12 closet to 0

Mathematics

1 answer:

Minchanka [31]2 years ago

4 0

They are the same distance from 0

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A piece of copper tubing is in the shape of a hexagonal prism. The area of the base of the prism is 3 square centimeters. The vo

Evgen [1.6K]

Answer: 17 cm

Step-by-step explanation:

For a regular figure where the area of the base is B, and the height is H, the volume is calculated as:

V = B*H

Here we know that the base of the prism is B = 3 cm^2, and the volume of the prism is 51 cm^3

Then:

B = 3cm^2

V = 51cm^3

If we replace those in the equation above, we get:

51 cm^3 = (3cm^2)*H

Solving this for H gives:

(51 cm^3)/(3 cm^2) = H = 17 cm

The height of the tubing is 17 cm

7 0

2 years ago

The area of the base of a prism is 21 cm2. The perimeter of the base is 20 cm. The height of the prism is 8 cm.

mart [117]

The lateral area of the prism equals to height * perimeter of the base. So the lateral area is 160 cm2. And the surface area of the prism equals to the area of the base*2+the lateral area= 202 cm2.

7 0

3 years ago

sues teacher asked her to find 42.6 divided by 10 to the second power . how should sue move the decimal point to get the correct

Marizza181 [45]

She should move it one place to the left because there is one zero in ten so however many zeros there are in the multiple of 10 that's how many times you move it. Then, you move it left to divide and right to multiply. Hope I helped!

8 0

3 years ago

Function and Reasoning:

Akimi4 [234]

The number of calories per ounce of soda is 10

<h3>Part A: Represent the relationship between the number of calories and the number of ounces</h3>

The given parameters are:

Calories = 50

Ounces = 5

Let the number of calories be y and the ounces be x.

So, we have:

y = kx

Substitute y = 50 and x = 5

50 = 5k

Divide by 5

k = 10

Substitute k = 10 in y = kx

y = 10x

See attachment for the graph of the relationship between the number of calories and the number of ounces

<h3>Part B: What is the number of calories per ounce of soda?</h3>

In (a), we have:

k = 10

This means that the number of calories per ounce of soda is 10

<h3>Part C: How does the unit rate relate to the slope of the line in the graph above? </h3>

The unit rate and the slope represent the same and they have the same value