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4 years ago

Please explain the steps for solving this question 12.04 -5.4

Mathematics

1 answer:

Dima020 [189]4 years ago

3 0

12.04
5.4
-____
6.64
is your answer

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Apply the properties of integer exponents to identify all of the expressions equivalent to 1/8.

Alborosie

Answer:

The answers are A , C , D

Step-by-step explanation:

Lets revise the rule of exponent

* $a^{n}*a^{m}=a^{m+n}$

* $\frac{a^{m}}{a^{n}}=a^{m-n}$

* $\frac{1}{a^{-m}}=a^{m}$

* $(\frac{a}{b})^{-m}=(\frac{b}{b})^{m}$

Now lets solve the problem

We need all the expressions equivalent to $\frac{1}{8}$

∵ $2^{-3}=\frac{1}{2^{3}}$

∵ 2³ = 8

∴ $2^{-3}=\frac{1}{8}$

Answer A is equivalent to $\frac{1}{8}$

∵ 2³ = 8

Answer B is not equivalent to $\frac{1}{8}$

∵ 2³ = 8

∴ $\frac{1}{2^{3}}=\frac{1}{8}$

Answer C is equivalent to $\frac{1}{8}$

∵ $2^{2}*2^{-5}=2^{2+-5}=2^{-3}$

∵ $2^{-3}=\frac{1}{2^{3}}=\frac{1}{8}$

Answer D is equivalent to $\frac{1}{8}$

∵ $2^{-2}*2^{5}=2^{-2+5}=2^{3}$

∵ 2³ = 8

Answer E is not equivalent to $\frac{1}{8}$

<em>The answers are A , C , D</em>

4 0

4 years ago

Part of the population of 5,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 10

aalyn [17]

Answer:

575

Step-by-step explanation:

If a sample of 50 is selected and ten out of that are infected, dividing you would get my answer. To get it, divide the sample amount that were infected by the whole amount. I am unsure if this is correct but fingers crossed this helps. Feel free to talk it through with me.

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3 years ago

Evaluate by distributing and find the expression

Elden [556K]

Answer:

Step-by-step explanation:

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4 years ago

If (x − 3) is a factor of the polynomial function f(x) = 4x2 − 5x − 21, which of the following is another factor?

ohaa [14]

Answer:

(4x + 7)