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3 years ago

15 POINTS 8m+4m+7m-2n what’s the answer

Mathematics

2 answers:

Virty [35]3 years ago

7 0

Answer:

15m +2n

Step-by-step explanation:

8m+4n+7m-2n

Combine like terms

8m +7m +4n-2n

15m +2n

Romashka-Z-Leto [24]3 years ago

6 0

To simplify combine like terms:

8m + 7m = 15m

4n - 2n = 2n

Simplified: 15m + 2n

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What is the slope of the line x=6

zimovet [89]

Answer:

undefined

Step-by-step explanation:

Vertical lines never have a defined slope as you can never divide a number by zero

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3 years ago

Read 2 more answers

3. A company with loud machinery needs to cut its sound intensity to 44% of its original level. By how many decibels would the l

sergeinik [125]

Answer: 3. The correct option is: A) 3.57 decibels.

6. The correct option is: B) $ln(\frac{x^2}{c^5})$ 

Step-by-step explanation:

3. Sound intensity is cut to 44% of its original level. That means, if the original sound intensity was 100, then now sound intensity will be 44.

So, $I_{0}= 100$ and $I= 44$

Using the formula $L= 10log(\frac{I}{I_{0}})$ , we will get.....

$L= 10log(\frac{44}{100})\\ \\ L= 10log(0.44)\\ \\ L= 10(-0.3565...)=-3.565...\approx -3.57$

(Rounded to the nearest hundredth)

So, the loudness would be reduced by 3.57 decibels.

6. Given expression is: $2ln(x) - 5ln(c)$

First applying the property $m*log(x)= log(x^m)$ , we will get.....

$ln(x^2)-ln(c^5)$

Now using the formula, $log(a)-log(b)= log(\frac{a}{b})$ , we will get....

$ln(x^2)-ln(c^5) = ln(\frac{x^2}{c^5})$

Thus, the answer as a single natural logarithm is $ln(\frac{x^2}{c^5})$

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3 years ago

10 to the first power times 16.29

Mumz [18]

Answer:

162.9

Step-by-step explanation:

10 to the first power is 10 and 10 x 16.29=162.9

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3 years ago

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Express your answer as a polynomial in standard form

Bingel [31]

Answer:

f(g(x)) = 4x² + 16x + 13

Step-by-step explanation:

Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.

<h3>Definitions:</h3>

The polynomial in standard form has terms that are arranged by descending order of degree.

In the composition of function f with function g, which is alternatively expressed as f ° g, is defined as (f ° g)(x) = f(g(x)).

In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).

<h3>Solution:</h3>

Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:

f(x) = 4x + 5

g(x) = x² + 4x + 2

f(g(x)) = 4(x² + 4x + 2) + 5

Next, distribute 4 into the parenthesis:

f(g(x)) = 4x² + 16x + 8 + 5

Combine constants:

f(g(x)) = 4x² + 16x + 13

Therefore, f(g(x)) as a polynomial in x that is written in standard form is: 4x² + 16x + 13.

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2 years ago

I got the answer it is A I just need you to check it pls thank you

andrey2020 [161]

We have a circle of radius 5 m inside a square of side 10 m. The shaded area is:

$A_{\text{Shaded}}=A_{\text{Square}}-A_{\text{Circle}}$

Now, we calculate the area of the square and the circle:

$\begin{gathered} A_{\text{Square}}=10^2=100m^2 \\ A_{\text{Circle}}=\pi\cdot5^2=25\pi m^2 \end{gathered}$

Finally, the shaded area is:

$A_{\text{Shaded}}=100-25\pi\approx21.5m^2$

3 0

1 year ago