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pentagon [3]
2 years ago
6

A spherical cabinet knob has a radius of 1.5 inches. Find the volume of thevcabinet knob.

Mathematics
1 answer:
steposvetlana [31]2 years ago
6 0

Answer:

V=14.12 in³

Step-by-step explanation:

This is a tough one. To find the volume, you'll need the followimg equation:

\frac{4}{3} \pi {r}^{3}

The 3 next to the R is an exponent. An exponent involves multiplying the radius by itself. So it would look like this: 1.5×1.5×1.5

Next, you must multiply the result by 3.14. So it would be 3.375×3.14. And finally, you must multiply that result by 4 and divide by 3. So 10.59×4 to get 42.36 then divide that by 3. 42.36 divided by 3 is 14.2. (Answer can vary from time to time and you may need to round up)

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Answer:

first option

Step-by-step explanation:

Given

y = 2(x - 3)² + 1

Rearrange making x the subject

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\sqrt{\frac{y-1}{2} } = (x - 3)² ( take the square root of both sides )

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3 years ago
What is the quotient of (x^3+3x^2-4x-12) / (x^2+5x+6)?
11111nata11111 [884]

Answer:

<u>The quotient is x -2</u>

Step-by-step explanation:

1. Let's simplify and find out the quotient of the following division:

(x^3+3x^2-4x-12) / (x^2+5x+6)

(x³ + 3x² - 4x - 12)/ (x² + 5x + 6)

(x + 2) (x² + x - 6) / (x + 2) (x + 3) ⇒ Factorizing on the numerator and the denominator

(x² + x - 6) / (x + 3) ⇒ Eliminating (x + 2) on the numerator and the denominator

(x + 3) (x - 2) / (x + 3) ⇒ Factorizing on the numerator

x - 2 ⇒ Eliminating (x + 3) on the numerator and the denominator

<u>The quotient is x -2</u>

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