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anyanavicka [17]

2 years ago

11

Please help and explain how to do this. thank you in advance!

1 answer:

Sholpan [36]2 years ago

6 0

We want to solve
$3e^{2x}+5=27$

Subtract 5 from each side.
$3e^{2x}=22$
Divide each side by 3.
$e^{2x}=7.3333$
Take natural logs of each side.
$2x=ln(7.3333)=1.9924$
Divide each side by 2.
x = 0.9962

Answer: x = 0.996 (nearest thousanth)

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△ABC∼△DEF , △ABC has a height of 20 inches, and △DEF has a height of 24 inches.

dybincka [34]

<span>△ABC∼△DEF
</span>Height of <span>△ABC: h1=20 inches
</span>Height of △DEF: h2=24 inches
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</span>
R=(h1/h2)^2
R=[ (20 inches) /(24 inches) ]^2
R=(5/6)^2
R=5^2/6^2
R=25/36

Answer: T<span>he ratio of the area of △ABC to the area of △DEF is 25/36</span>

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3 years ago

Write the following<br> number in scientific<br> notation.<br> 5,673,091

Studentka2010 [4]

Answer:

5.673091 x 10^6

Step-by-step explanation:

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3 years ago

A resort hotel rents

SOVA2 [1]

Answer:

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3 years ago

Read 2 more answers

Elimination_4x_2y=14<br> _10x+7y=_24

Gnesinka [82]

Answer:

The answer is $x=-\frac{50}{8}$ and $y=\frac{11}{2}.$

Step-by-step explanation:

Given:

-4x-2y=14

-10x+7y=-24

Now, to solve it by elimination:

$-4x-2y=14$ ......(1)

$-10x+7y=-24$ ......(2)

So, we multiply the equation (1) by 7 we get:

$-28x-14y=98$

And, we multiply the equation (2) by 2 we get:

$-20x+14y=-48$

Now, adding both the new equations:

$-28x-14y+(-20x+14y)=98+(-48)$

$-28x-14y-20x+14y=98-48$

$-28x-20x-14y+14y=50$

$-8x=50$

<em>Dividing both the sides by -8 we get:</em>

$x=-\frac{50}{8}$

Now, putting the value of $x$ in equation (1):

$-4x-2y=14$

$-4(-\frac{50}{8})-2y=14$

$\frac{200}{8} -2y=14$

$25-2y=14$

<em>Subtracting both sides by 25 we get:</em>

$-2y=-11$

<em>Dividing both sides by -2 we get:</em>

$y=\frac{11}{2}$

Therefore, the answer is $x=-\frac{50}{8}$ and $y=\frac{11}{2}.$

5 0

3 years ago

The average distance from Mars to the sun is about one hundred forty- one million, six hundred twenty thousands miles. How is th

gavmur [86]

Answer: 141,620,000

<u>Step-by-step explanation:</u>

one hundred forty-one million, six hundred twenty, thousands

↓ ↓ ↓

141, 620, 000

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3 years ago