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3 years ago

5(2к) What expression is equivalent

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

4 0

Answer:

10k

Step-by-step explanation:

if you simplify by multiplying, you get 10k

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Steve is a camp counselor and earns $11.00 an hour with time and a half for overtime. Last week he worked 40 hours plus overtime

Genrish500 [490]

Answer:

11 bucks an hr for 40 hrs = 440......506 -

440 = 66 bucks in overtime pay 11 * 1.5 = 16.5 ...this is his overtime pay per hr

66/16.5 = 4 <== he worked 4 hrs overtime

5 0

3 years ago

H(8) = 40,000 • 1.05^8

katovenus [111]

Answer:

height =8 = 40,000*1.0

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3 years ago

Helpppp pleaseee which is linear and non

wel

Answer:

the 2 one is a linear and the rest are non

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4 years ago

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What is 96% of 112.5

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Answer:

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Step-by-step explanation:

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3 years ago

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Which expression is equivalent to RootIndex 3 StartRoot StartFraction 75 a Superscript 7 Baseline b Superscript 4 Baseline Over

slega [8]

Answer:

B. $\frac{b}{2a^{2}c^3}\sqrt[3]{15b}$

Step-by-step explanation:

Given:

The expression to simplify is given as:

$\sqrt[3]{\frac{75a^7b^4}{40a^{13}c^9}}$

Use the exponent property $\frac{a^m}{a^n}=a^{m-n}$

$\frac{a^7}{a^{13}}=a^{7-13}=a^{-6}$

Use the exponent property $(a^m)^n=a^{m\times n}$

$a^{-6}=a^{-2\times 3}=(a^{-2})^3$

$b^4=b\times b^3\\c^{9}=(c^3)^3$

Reducing $\frac{75}{40}$ to simplest form, we get:

$\frac{5\times 5\times 3}{2^3\times 5}=\frac{15}{2^3}$

Therefore, expression becomes:

$\sqrt[3]{\frac{15(a^{-2})^3\times b\times b^3}{2^3(c^3)^3}}$

Use the cubic root property:

$\sqrt[3]{x^3} =x$ . Thus, the expression becomes:

$\frac{a^{-2}b}{2c^3}\sqrt[3]{15b}$

Using the exponent property $a^{-m}=\frac{1}{a^m}$

$a^{-2}=\frac{1}{a^2}$

So, the final expression is:

$\frac{b}{2a^{2}c^3}\sqrt[3]{15b}$

Therefore, the correct option is option B.

7 0

4 years ago