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Liula [17]
3 years ago
5

Answer the 3 screenshotted questions below. 30 points!

Mathematics
1 answer:
Triss [41]3 years ago
3 0

Answer:

13.  36a^2b^4π  

14. 16x^3y^4π

15. -\frac{c^3}{4a^7b^3}

Step-by-step explanation:

13.

A = π * r^2

r = 6ab^2

A = π*  (6ab^2)^2

A = π * (6ab^2)(6ab^2)

A = π * 36a^2b^4

A = 36a^2b^4π  

14.

V = π * r^2 * h

r = 2x

h = 4xy^4

V = π * (2x)^2 * 4xy^4

V = π * 4x^2 * 4xy^4

V = π * 16x^3y^4

V = 16x^3y^4π

15. \frac{3a^{-4}b^2}{-12a^3b^5c^{-3}} = -\frac{c^3}{4a^7b^3}

\frac{3a^{-4}b^2}{-12a^3b^5c^{-3}}

\frac{a^{-4}}{-4a^3b^5c^{-3}}

\frac{b^2}{-4^{3+4}b^5c^{-3}}

\frac{b^2}{-4^7b^5c^{-3}}

\frac{1}{-4a^7b^{5-2}c^{-3}}

\frac{1}{-4a^7b^3c^{-3}}

\frac{c^3}{-4a^7b^3}

-\frac{c^3}{4a^7b^3}

Hope this helps!

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BlackZzzverrR [31]

Question:

Give all the x and y intercept of the function

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Answer:

The x intercepts are x = 5 and x = -4

The y intercept is at y = -2

Step-by-step explanation:

Factorizing the numerator of the expression we find the x intercepts as follows;

f(x) = \frac{3x^2 - 3x-60}{2x^3 + 2x^2-34x+30} =\frac{3(x-5)(x+4)}{2x^3 + 2x^2-34x+30}

Therefore, the x intercept are

x = 5 and x = -4

To find the y intercept, we put x = 0 to get y = -2

Therefore, the y intercept is at y = -2

Factorizing the denominator we find the values for which the equation is undefined

2·x³ + 2·x² - 34·x + 30 = 2·(x-1)·(x-3)·(x+5) which gives

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den301095 [7]

The true statement is as follows:

The product 13 / 4 × 2 can be used to find the unit rate in cm per hour.

After one hour, the height of the candle will have decreased by 6 1 / 2 cm.

<h3 /><h3>What is rate?</h3>

Rate is the ratio between two related quantities in different units.

The height of the candle decreases from 10 cm to 6 3 / 4 cm after burning for 1 / 2 hours.

6 3 / 4 cm = 27 / 4 cm

10 - 27 / 4 =  40 - 27 / 4 = 13 / 4 cm

Therefore, 13 / 4 cm of candles were lost in 1 / 2 hours.

Rate = 13 / 4 × 2 = 26 / 4 = 13 / 2 cm per hour

Therefore, the product 13 / 4 × 2 can be used to find the unit rate in cm per hour.

13 / 4  + 13 / 4 =   13 + 13/ 4 = 26 / 4 = 13 / 2 = 6 1 / 2 cm.

Therefore, after one hour, the height of the candle will have decreased by 6 1 / 2 cm.

learn more on rate here: brainly.com/question/18188023

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