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WARRIOR [948]
3 years ago
6

In algeb, what is 4^x=64?

Mathematics
1 answer:
ivolga24 [154]3 years ago
4 0
Hi

Here are the steps

4^x = 64
First, we need to solve for the exponent
log(4^x) = log(64)
Now we need to take log of
x * (log(4)) = log(64)
x = log(64)/(log(4)
x= 3


Here you go guys :)

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Bianca took a job that paid $150 the first week. She was guaranteed a raise of 6% each week. How much money will she make in all
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Answer:

$225.54 (hope it help)

Step-by-step explanation:

for 2nd week

$150 for the first week and a raise of 6% each week

which means 150+6%

6% of 150 is 9 (150x0.06)

150+9=159

and it repeats

for 3rd week

6% of 159 is 9.54 (159x0.06)

159+9.54=168.54

for 4th week

6% of 168.54 is 10.1124 (168.54x0.06)

168.54+10.1124=178.652

for 5th week

6% of 178.652 is 10.71912 (178.652x0.06)

178.652+10.71912=189.37112

an easier to do it is to just do 178.652 + 6% on your calculater

and I'll skip all the way to the 8th since you know the formula

212.777390432+6%=225.544033858

225.544033858≈225.54

3 0
3 years ago
If there are 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left af
lyudmila [28]

Answer:

There will be 22.5 grams left after 32 hours.

Step-by-step explanation:

A half-life is how long it takes for half of the amount to go away. In this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.

32hrs/8hrs = 4 half lives.

Now we can raise 1/2 to the power of how many half lives we have (2). Then we multiply that by the amount in the sample.

(1/2)^4 * 360

1/16 * 360

22.5 grams

And this is an exponential function.

4 0
2 years ago
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Answer:

6 gallons of gas

Step-by-step explanation:

20.00 - 2.12 = 17.88

17.88 divided by 2.98 equals 6

8 0
2 years ago
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2 1/4 X 3 1/3<br><br> What is the answer?
Alex

Answer:

The answer to 2 1/4 X 3 1/3 is 7 1/2

6 0
3 years ago
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Let us assume the regular price of each tube of paint = r.

0.50 off each tube.

New price of each tube = r - 0.50.

She buy 6 tubes.

Total price of 6 tubes = 6×(r-0.50).

We are given total price = $84.30 .

Therefore, we can setup an equation

6×(r-0.50) = 84.30.

Distributing 6 over (r-0.50), we get

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Adding 3.0 on both sides, we get

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Dividing both sides by 6, we get

6r/6 = 87.30/6

r = 14.55

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