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2 years ago

Help please will give brainliest

Mathematics

1 answer:

alex41 [277]2 years ago

4 0

<h2>Answer:</h2>

<u>Cost of basketball sneakers with tax</u> = $96.12

<u>Amount of tax</u> = 8% of cost price

= 8/100 × 96.12

= $7.6896.

<u>Cost of sneakers without tax</u> = $96.12 - $7.6896.

= $88.43.

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3 years ago

A triangular window is above the door to a cafe. The base of the window is 12 ft, and the height is 10 ft. What is the area of t

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3 years ago

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the area of a rectangle is 14 square units. it has side lengths a and b. If a= 2 1/3, what is the value of b

Zolol [24]

Step-by-step explanation:

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3 years ago

What is the value of b?

anzhelika [568]

The value of b is 24

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3 0

2 years ago

Which is the simplified form of (9c^-9)^-3?

ElenaW [278]

Answer:

We conclude that:

$\left(9c^{-9}\right)^{-3}=\frac{c^{27}}{729}$

Step-by-step explanation:

Given the expression

$\left(9c^{-9}\right)^{-3}$

Apply exponent rule: $a^{-b}=\frac{1}{a^b}$

$\left(9c^{-9}\right)^{-3}=\frac{1}{\left(9c^{-9}\right)^3}$

Let us first solve:

$\left(9c^{-9}\right)^3$

Apply exponent rule: $\left(a\cdot \:b\right)^n=a^nb^n$

$\left(9c^{-9}\right)^3=9^3\left(c^{-9}\right)^3$

$=729\left(c^{-9}\right)^3$

Apply exponent rule: $\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0$

$=729c^{-9\cdot \:3}$

$=729c^{-27}$

Apply exponent rule: $a^{-b}=\frac{1}{a^b}$

$=729\cdot \frac{1}{c^{27}}$

$=\frac{729}{c^{27}}$

Therefore, the expression $\left(9c^{-9}\right)^{-3}=\frac{1}{\left(9c^{-9}\right)^3}$ becomes

$\left(9c^{-9}\right)^{-3}=\frac{1}{\left(9c^{-9}\right)^3}$

$=\frac{1}{\frac{729}{c^{27}}}$ ∵ $\left(9c^{-9}\right)^3=\frac{729}{c^{27}}$

$=\frac{c^{27}}{729}$ ∵ $\frac{1}{\frac{b}{c}}=\frac{c}{b}$

Hence, we conclude that:

$\left(9c^{-9}\right)^{-3}=\frac{c^{27}}{729}$

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3 years ago