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3 years ago

This is Core Focus: Working With Scientific Notation

Mathematics

1 answer:

asambeis [7]3 years ago

6 0

A. 3272.4
b.349.92
c. 198.432
d. 194.688

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Jennifer is picking a ball out of a box without looking. The probability of picking a green ball is 1/12.

kaheart [24]

Answer:

it's a

Step-by-step explanation:

7 0

3 years ago

Which expression is equivalent to (16 x Superscript 8 Baseline y Superscript negative 12 Baseline) Superscript one-half?.

loris [4]

To solve the problem we must know the Basic Rules of Exponentiation.

<h2>Basic Rules of Exponentiation</h2>

$x^ax^b = x^{(a+b)}$
$\dfrac{x^a}{x^b} = x^{(a-b)}$
$(a^a)^b =x^{(a\times b)}$
$(xy)^a = x^ay^a$

$x^{\frac{3}{4}} = \sqrt[4]{x^3}= (\sqrt[3]{x})^4$

The solution of the expression is $\dfrac{4x^4}{y^6}$ .

<h2>Explanation</h2>

Given to us

$(16x^8y^{12})^{\frac{1}{2}}$

Solution

We know that 16 can be reduced to $2^4$ ,

$=(2^4x^8y^{12})^{\frac{1}{2}}$

Using identity $(xy)^a = x^ay^a$ ,

$=(2^4)^{\frac{1}{2}}(x^8)^{\frac{1}{2}}(y^{12})^{\frac{1}{2}}$

Using identity $(a^a)^b =x^{(a\times b)}$ ,

$=(2^{4\times \frac{1}{2}})\ (x^{8\times\frac{1}{2}})\ (y^{12\times{\frac{1}{2}}})$

Solving further

$=2^2x^4y^{-6}$

Using identity $\dfrac{x^a}{x^b} = x^{(a-b)}$ ,

$=\dfrac{2^2x^4}{y^6}$

$=\dfrac{4x^4}{y^6}$

Hence, the solution of the expression is $\dfrac{4x^4}{y^6}$ .

Learn more about Exponentiation:

brainly.com/question/2193820

8 0

2 years ago

2. Victor Larson had fixed costs totaling $2,805.60 last year, not

Mashutka [201]

The depreciation of the car is $12,600.

The cost of the car per mile is $0.28

<h3>What is the depreciation of the car?</h3>

Depreciation is the decline in the value of an asset as a result of wear and tear.

Depreciation = cost of the asset - value of the asset now

$24,890 - $12,290 = $12600

Cost per mile = total cost / total mile

($2,805.60 + $1,870.40) / 16700 = $0.28

To learn more about depreciation, please check: brainly.com/question/25552427

5 0

1 year ago

How would the mean change if the number 52 replaced the number 12 in the set?

m_a_m_a [10]

Answer:

increase

Step-by-step explanation:

First, we need to find the mean of the given data set without any change.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 12 = 264

264 ÷ 8 = <u>33</u>

Now that we have the mean, we can find the mean of the data set with the change of 52.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 52 = 304

304 ÷ 8 = <u>38</u>

<u />

From this, we can see that the mean has increased with the change of 12 to 52. Thus, that's the correct option.

hope this helps!

6 0

2 years ago

Write an equation for the line that passes through (2,10),(0,4)

Y_Kistochka [10]

I'm going to go right ahead and assume that we're talking about a linear equation.

The linear equation passing through the points given is y=3x+4, since it satisfies both of the points given.

8 0

3 years ago