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andrey2020 [161]
3 years ago
15

I don't know how to get the answer, but I've been given the answer and it's x=ln 8.

Mathematics
1 answer:
Pie3 years ago
3 0
E^2x - 5e^x = 24

(e^x)^2 - 5e^x =24

let e^x = u

u^2 - 5u = 24

u^2 -5u - 24 =0

(u - 8)(u+3)=0

u = 8 or u = -3

since e^x = u then u can't equal -3

e^x = 8

by taking ln for both sides

ln(e^x) = ln(8)

xln(e) = ln(8) .......................ln(e) = 1

x = ln(8) = 3ln(2)


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Please help.
pogonyaev

Answer:

3 2/3 square feet.

Step-by-step explanation:

You just need to multiply 6 and 4 2/3. To do this you have to change both of them into improper fractions so 6 would be 21/3 and 4 2/3 would be 14/3. If you cross cancel the 21/3 will become 7/3 and the 14/3 will become 14/1. Now you have to multiply across and you should get 98/3. To change the improper fraction into a mixed number you have to divide 98 and 3 so you can get 3 2/3. Therefore, the answer to the area of the quilt is 3 2/3 square feet.

7 0
2 years ago
The ages of three friends are consecutive integers. The sum of their ages is 45
Alborosie

45 = (x) + (x + 1) + (x + 2)

45 = 3x + 3

- 3

42 = 3x

/3

14 = x

45 = 14 + (14 + 1) + (14 + 2)

45 = 14 + 15 + 16

The ages of the 3 friends are 14, 15, and 16.

6 0
3 years ago
Read 2 more answers
Nick randomly selects a digit from the set { 0 , 1 , 2 , . . . , 9 } and a letter from the set { A, B, C, . . ., Z } . Matthew w
Alex787 [66]

Answer: 259/260 or 0.99615 (depending on which answer format your teacher wants)

There are 10 numbers in the set {0, 1, 2, ..., 9}. There are 26 letters in the set {A, B, C, ..., Z}. Multiply those values: 10*26 = 260. So there are 260 ways to pick a number followed by a letter. One example is 7P.

There is only one way Matthew can get the correct answer, and there are 260 - 1 = 259 ways to get the wrong answer. We divide 259 over 260 to get the probability of getting the incorrect answer, which is 259/260.

If you need this fraction in decimal form, then use a calculator to find that 259/260 = 0.99615 approximately

7 0
2 years ago
Which property allows you to write the expression<br> (3 + 7i) + (8 − 6i) as (8 − 6i) + (3 + 7i)?
rodikova [14]

Answer:

3+7i

Step-by-step explanation:

3 0
3 years ago
Which calculation and answer show how to convert 3/12 to a decimal<br> Plz help ASAP
DedPeter [7]

Answer:

Its C

Step-by-step explanation:

It is C becuase when converting a fraction to a decimal, you just divide the numerator by the denominator

Basically solve the fraction

3/12=1/4

1/4 is a bencmark so right away you should know that should equal to 0.25 since its a quarter.

Or you can always look it like this

3 is the numerator

the “/“ between is basically ”divided by”

And the 12 is the denominator

Now read the equation in that order

3/12= 3 DIVIDED BY 12

There you go!

6 0
2 years ago
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