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2 years ago

Express 972 in the exponential from using prime factors

Mathematics

1 answer:

Rufina [12.5K]2 years ago

4 0

$972 = 4 \times 243 = 2^2 \times 3^5$

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the arnold family arrived at the beach at 10:30 a.m. they spent 3¾ hours there.what time did they leave the beach?

JulsSmile [24]

3/4 of an hour is 45 minutes. So they spent 3 hours and 45 minutes at the beach. They arrived at 10:30 so just add 3 hours and 45 minutes to their arrival time and you get 2:15pm. They left at 2:15pm

10:30+3:45=14:15
14:15=2:15

4 0

3 years ago

X=-6+y.x-3y=28. Iii fcugyvycuc

Leto [7]

Answer:

(-6+y)-3y=28

-2y-6=28

-2y=34

y=-17

Then,

x=-6-17

x=-23

Step-by-step explanation:

8 0

3 years ago

4 - x + <img src="https://tex.z-dn.net/?f=6%5E%7B2%7D" id="TexFormula1" title="6^{2}" alt="6^{2}" align="absmiddle" class="latex

Lemur [1.5K]

Answer:

x ≤ 19

Step-by-step explanation:

The instructions here are probably "solve for x." Please include them.

4 - x + 6^2 ≥ 21

becomes 4 - x + 36 ≥ 21

Now combine like terms. 4 and 36 combine to 40: 40 - x ≥ 21, and so:

19 - x ≥ 0

Adding x to both sies results in

x ≤ 19

Please, include the instructions when you post a question. Thanks.

3 0

2 years ago

Construct a polynomial function with the following properties: fifth degree, 4 is a zero of multiplicity 3, −4 is the only other

Nonamiya [84]

Answer:

Step-by-step explanation:

Hello,

degree 5

4 is a zero of multiplicity 3 -> (x-4)^3 is a factor

-4 is the only other zero, so the multiplicity is 5-3=2 -> (x+4)^2 is a factor

leading coefficient is 4 so we can write

$\boxed{4(x-4)^3(x+4)^2}$

If there is something that you do not understand or you are blocked somewhere let us know what / where.

Thank you.

8 0

2 years ago

Perchlorate is a chemical used in rocket fuel. People who live near a former rocket-testing site are concerned that perchlorate

ser-zykov [4K]

Answer:

$H_1 : \mu > 24.5$

Step-by-step explanation:

From the given information:

The sample size is 28

The population mean is 24.5 (ppb)

The sample mean is 225.3 (ppb)

Thus, the null and the alternative hypothesis can be computed as:

Null hypothesis:

$H_o : \mu \le 24.5$

Alternative hypothesis:

$H_1 : \mu > 24.5$

8 0

2 years ago