2 years ago

What is the exact value of x in the exponential equation 22.1 + e5x = 100.1?

Mathematics

1 answer:

sergij07 [2.7K]2 years ago

5 0

I think the answer is 15.6

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-2x+8x=20 ans can you please include the steps. Thank you

sladkih [1.3K]

Hope this helps :).

3 0

3 years ago

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Elisa saved $30 in July,$21.50 in august, and $50 in September. He spent $18 on movies and $26.83 on gas. how much money does El

Eva8 [605]

Answer:

$56.67

Step-by-step explanation:

$30+$21.50+$50=101.50

$101.50-$18=$83.50

$83.50-$26.83=$56.67

4 0

2 years ago

If tanA+sinA=m and tanA-sinA=n.prove that m^2-n^2=4√mn

mash [69]

Let $a=\tan A$ and $b=\sin A$ . Then

$m^2-n^2=(a+b)^2-(a-b)^2=(a^2+2ab+b^2)-(a^2-2ab+b^2)=4ab$

$\implies m^2-n^2=4\tan A\sin A$

and

$mn=(a+b)(a-b)=a^2-b^2$

$\implies4\sqrt{mn}=4\sqrt{\tan^2A-\sin^2A}$

The expression under the square root can be rewritten as

$\tan^2A-\sin^2A=\dfrac{\sin^2A}{\cos^2A}-\sin^2A=\sin^2A\left(\dfrac1{\cos^2A}-1\right)=\sin^2A(\sec^2A-1)$

Recall that

$\sin^2A+\cos^2A=1\implies\tan^2A+1=\sec^2A$

so that

$\tan^2A-\sin^2A=\sin^2A\tan^2A$

and assuming $\sin A>0$ and $\tan A>0$ , we end up with

$4\sqrt{\tan^2A-\sin^2A}=4\tan A\sin A$

so that

$m^2-n^2=4\sqrt{mn}$

as required.

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2 years ago

Slope= -1; y-intercept = 8

kotykmax [81]

Answer:

y=-1x+8

Step-by-step explanation:

idk what to do here

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2 years ago

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How do you turn four and six hundredths into a decimal

Ivahew [28]

it would be 4.06 because 6/100 is 0.06 so 4.06 is your answer.

7 0

3 years ago