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2 years ago

What is the comparison of two different quantities that are changing

Mathematics

1 answer:

Novosadov [1.4K]2 years ago

8 0

Answer:

Rate of change

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How do you solve <br> 2/3 [(5+3) ^-3]

vodka [1.7K]

$\dfrac{2}{3}[(5+3)^{-3}]=\dfrac{2}{3}(8)^{-3}\\\\\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{2}{3}\cdot\dfrac{1}{8^3}=\dfrac{2}{3\cdot512}=\dfrac{1}{3\cdot256}=\dfrac{1}{768}$

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2 years ago

What is 0.08 written as a percent

andrew11 [14]

0.08 can be written as 8%

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3 years ago

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Solve for x: −1 < x + 3 < 5

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

Subtract 3 from all sides.

-4 < x < 2

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3 years ago

Janice swam in the 400 ___ backstroke.

ruslelena [56]

Meter/ yard. Likely meter since that is high/college standard

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3 years ago

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h

Nikitich [7]

Answer: 5 inches

Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = $a^2=6^2=36\ inches^2$

we know that volume of square right pyramid= $\frac{1}{3}\times\ a^2h$

Therefore, volume of square right pyramid made by all of clay= $\frac{1}{3}\times\ a^2h$ =48 cubic inches

$\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}$

Now, slant height $l=\sqrt{(\frac{a}{2})^2+h^2}$

$\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5$

The slant height of the pyramid if Helen uses all the clay=5 inches

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3 years ago

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