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spin [16.1K]
3 years ago
14

Solve question 3 for 41 points

Mathematics
1 answer:
Sever21 [200]3 years ago
7 0

Answer:

(2)

Step-by-step explanation:

Our logarithmic expression is: ln(\frac{\sqrt{e} }{y^3} ).

Remember the logarithmic property that ln(a/b) = lna - lnb. So, we can write this as:

ln(\frac{\sqrt{e} }{y^3} )=ln(\sqrt{e} )-ln(y^3)

Also, we can write square roots as powers of one-half, so √e = e^{1/2}. There's another log property that: ln(a^b)=b*ln(a). We can apply that here for both the √e and the y³:

ln(\sqrt{e} )-ln(y^3)=\frac{1}{2} ln(e)-3ln(y)

Finally, note that ln(e) is just 1, so we have:

\frac{1}{2} ln(e)-3ln(y)=\frac{1}{2} -3ln(y)=\frac{1-6ln(y)}{2}

The answer is thus (2).

<em>~ an aesthetics lover</em>

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11/21 as a decimal and a percent
pochemuha

11/21 written as a decimal would be 0.52381 and in percent, it would be 52.381%.

To solve percent, since the total or 1/1 is 100%, we have to remember that the answer is less than 100%. So, we move 2 decimal places right to make it into percent. Then, the answer is 52.381.

To solve percent, you would do 100/21. Then, you would get 4.7619047619. You multiply that by 11 and get 52.381. But, you have to move 2 places left since fractions are tens, hundreds. So, you would get 0.52381.

8 0
3 years ago
Given the domain (-4, 0,5), what is the range for the relation y = -2x +
mote1985 [20]

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y =f(x) =   - 2x + 4

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f( - 4) =  - 2( - 4) + 4

f( - 4) = 8 + 4

f( - 4) = 12

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f(0) =  - 2(0) + 4

f(0) = 0 + 4

f(0) = 4

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f(5) =  - 2(5) + 4

f(5) =  - 10 + 4

f(5) =  - 6

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Range = { 12 , 4 , -6 }

Thus the correct answer is (( A )) .

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2 years ago
Barry read for 15 more minutes than Robert.
Greeley [361]
Hi!

C. v + 15

Barry read for 15 MORE minutes than Robert.
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Given that 2x-y÷2y-x=6÷1 find x:y​
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Answer:

Example Problem

Solve 2x+3=15.

Example Answer

x=6

How to Check Your Answer with Algebra Calculator

First go to the Algebra Calculator main page.

Type the following:

First type the equation 2x+3=15.

Then type the @ symbol.

Then type x=6.

Try it now: 2x+3=15 @ x=6

Step-by-step explanation:

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in a church, the ratio of adults to children is 6 to 11. if there are 306 people in the church, how many children are there?
serg [7]

Answer:

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Step-by-step explanation:

If the ratio of adults to children is 6:11, then 6/17 of the people are adults and 11/17 of the people are children.

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