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masha68 [24]
3 years ago
6

The quantity q varies inversely with the square of m and directly with the product of rand x. When q is 2.5, m is 4 and the

Mathematics
1 answer:
ozzi3 years ago
3 0

Answer:

The constant of variation is

k= 5

Step-by-step explanation:

First we must write the relationship as an equality.

If q varies inversely with the square of m, this means that when m ^ 2 increases then q decreases.

If q varies directly with the product of r and x this means that when r * x increases q increases.

Then the relationship is:

q = k\frac{rx}{m^2}

Where k is the constant of proportionality

Then if:

q=2.5\\\\m=4\\\\r*x=8

2.5 = k\frac{8}{4^2}

We solve for k

2.5 = k\frac{8}{16}

2.5 = k\frac{1}{2}

k= 5

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h=14

Step-by-step explanation:

18h=252

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Factor the expression into an equivalent form.<br> ab2 - b
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The mapping diagram shows a function S(x).<br><br> Which mapping diagram shows the inverse of S(x)?
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<h3>Answer: Choice A</h3>

Explanation:

Notice how the input 5 leads to the output 3 when we look at the S(x) function. The inverse will undo this. So that must mean the answer is choice A where we have the input 3 lead to the output 5. In short, the inputs and outputs swap places. This means the domain and ranges swap.

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FIRST ONE TO GET ME THE CORRECT ANSWER WILL WIN BRAINIEST
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  59 3/4

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The change from the opening price is ...

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3 0
3 years ago
Rogue Industries reported the following items for the current​ year: Sales​ = $3,000,000; Cost of Goods Sold​ = $1,500,000; Depr
Nataly_w [17]

Answer:

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Step-by-step explanation:

Given data

Sales​ = $3,000,000

Cost of Goods Sold​ = $1,500,000

Depreciation Expense​ = $170,000

Administrative Expenses​ = $150,000

Interest Expense​ = $30,000

Marketing Expenses​ = $80,000

Taxes​ = $300,000

to find out

operating income

solution

we find income by this formula that is given below

income = Sale - Cost of Goods Sold - Depreciation Expense - Administrative Expenses - Interest Expense -  Marketing Expenses - Taxes

so put now all these value to get the income      

income = 3,000,000 - 1,500,000 - 170,000 - 150,000 - 30,000 - 80,000 - 300,000

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3 years ago
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