A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.

8 0

3 years ago

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A frustum is made by removing a small cone from a similar large cone in the diagram shown the height of a small cone is a quarte

lesantik [10]

Answer:

Volume of the frustum = ⅓πh(4R² - r²)

Step-by-step explanation:

We are to determine the volume of the frustum.

Find attached the diagram obtained from the given information.

Let height of small cone = h

height of the large cone = H

The height of a small cone is a quarter of the height of the large cone:

h = ¼×H

H = 4h

Volume of the frustum = volume of the large cone - volume of small cone

volume of the large cone = ⅓πR²H

= ⅓πR²(4h) = 4/3 ×π×R²h

volume of small cone = ⅓πr²h

Volume of the frustum = 4/3 ×π×R²h - ⅓πr²h

Volume of the frustum = ⅓(4π×R²h - πr²h)

Volume of the frustum = ⅓πh(4R² - r²)

6 0

4 years ago

A new car is purchased for 19000 dollars. The value of the car depreciates at 11.25% per year. What will the value of the car be

Doss [256]

Answer: 11.25% depriciation means 11.25% amount decrases per year.

i.e for 1year (1-0.1125)19000=0.8875*19000

so for 14 years multiply 0.08875 14 times to 19000.

Your answer will be arrived.

If any doubt comment.

Step-by-step explanation:

3 0

3 years ago

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What are two factors of -72 that add up to 6

makvit [3.9K]

-6 and 12.
(-6 x 12) = -72 and (-6 + 12) = 6

7 0

4 years ago