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3 years ago

Please help with the second question thank you

Mathematics

2 answers:

boyakko [2]3 years ago

5 0

Answer:

The correct answer is C.

Step-by-step explanation:

In order to solve this problem, you need to simplify the equation by using a natural log (ln). This will cancel out the e and make it easy to solve.

e^(2x + 5) = 4 ----> Take the ln

lne^(2x + 5) = ln(4) ------> Simplify

2x + 5 = ln(4) ------> Subtract 5

2x = ln(4) - 5 -----> Divide by 2

x = [ln(4) - 5]/2

LiRa [457]3 years ago

5 0

Answer:

Answer: The bottom or last answer.

Step-by-step explanation:

e^(2x + 5) = 4 Take the ln of both sides.

ln(e^(2x + 5)) = ln(4) Modify the left side. When e^z is logged you get z

2x + 5 = ln(4) Subtract 5

2x + 5-5 = ln(4) - 5 Simplify

2x = ln(4) - 5 Divide by 2

x = [ ln(4) - 5]/2 Answer

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Welppp fastttt!!!!!!!!!!!!!!!!!!

Romashka [77]

Answer: B

Step-by-step explanation:

Grade must be greater than or equal to 88

7 0

3 years ago

Read 2 more answers

A phone company offers to monthly plans. Plan a cost $23 plus an additional $.08 for each minute of calls. Plan B cost $19 an ad

Anettt [7]

Answer:

The indifference point is 100 minutes.

Step-by-step explanation:

Giving the following information:

Plan a cost $23 plus an additional $.08 for each minute of calls.

Plan B cost $19 an additional $.12 for each minute of calls.

<u>First, we need to establish the total cost formula for each plan:</u>

Plan A= 23 + 0.08*x

Plan B= 19 + 0.12*x

x= number of minutes

<u>Now, to calculate the indifference point, we equal both formulas and isolate x:</u>

23 + 0.08x = 19 + 0.12x

4 = 0.04x

100= x

The indifference point is 100 minutes.

<u>Prove:</u>

Plan A= 23 + 0.08*100= $31

Plan B= 19 + 0.12*100= $31

5 0

3 years ago

I’m taking a test

Elodia [21]

Rip banned account lol

5 0

3 years ago

Need help pls<br>thank you in advance

ira [324]

Answer:

<u />

$\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}$

$\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10$

$\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10$

<h3><u>Standard Deviation</u></h3>

$\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}$

$\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}$

$\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}$

<h3><u>Summary</u></h3>

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The <u>mean</u> scores are the <u>same</u>.

Nilo's standard deviation is higher than Lisa's. Therefore, Nilo's test scores are more <u>spread out</u> that Lisa's, which means Lisa's test scores are more <u>consistent</u>.

5 0

2 years ago

A glass triangular prism for a telescope is 5.5 inches long. Each side of the prism's triangular bases is 4 inches long and 3 in

Scrat [10]

Im not sure, but possibly 12.

5 0

4 years ago