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miss Akunina [59]
3 years ago
13

-2 x 4^5 + 18 x 4^5 = ? The answer must be in form of a^b. Please explain step by step.

Mathematics
1 answer:
zalisa [80]3 years ago
5 0

Answer:

17*2^11

Step-by-step explanation:

Lets start by remembering two property of power.

x^{m} * x^{n}= x^{n+m}

(x^{m})^{n}= x^{m*n}

That is important to remember since 4= 2^2. Hence, the given problem can be written as the following

-2*(2^{2} )^{5}+9*2^{2}*(2^{2} )^{5}  \\-2*2^{10}+9*2^{2}*2^{10}\\ -2^{11}+9*2^{12}\\ -2^{11}(-1+9*2)=-2^{11} (17)

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Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the
adoni [48]

Answer:

45.55 meters

Step-by-step explanation:

I'm guessing she recorded above her height, right?

To find the height of the dam, use the tangent ratio:

tangentX=\frac{opposite}{adjacent}

The height of the dam is the side opposite the given angle, and this will represent x. The adjacent side (the hypotenuse is NEVER considered the adjacent side) is the distance from Scarlett to the dam. The angle of elevation is the angle of 26°. Insert the values:

tan26=\frac{x}{90}

Solve for x. Multiply both sides by 90:

90*(tan26)=90*(\frac{x}{90})\\\\90*tan26=x

Insert equation into a calculator:

x=90*tan26\\\\x=43.9

Now add Scarlett's height:

43.9+1.65=45.55

The dam is 45.55 meters tall.

<em>Finito</em> :D

6 0
4 years ago
Nic is saving to buy a game system &amp; games. He needs $500 total and earned $125 in one week. If he continues to make money a
Evgesh-ka [11]
4 weeks would be the correct answer
5 0
3 years ago
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Use the graph below. Explain why the intervals on the horizontal axis could make the graph misleading
borishaifa [10]

Answer:

(D) I think

Step-by-step explanation:

Lets look at our answer choices; A.

The intervals are not comparable. The shorter bar spans more than 10 years. When it comes to a horizontal axis it doesn't matter how far it expands,just if it's expanded correctly.

B.The intervals are appropriately labeled. There not it goes from 25 to 50 in just in instant few climbs up.

C.The intervals are not comparable, but the data on the graph is not misleading. It is misleading the graphs are incorrectly labeled.

Which brings us to our answer D.The vertical axis does not have an appropriate scale. it goes from 0-25 25-50 and 50-75 then 75-100. that's a short distance for such numbers that are pretty far apart.

I hope I'm right and I hope this helps:)!

5 0
3 years ago
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Connor went to the county fair with $32.50 in his pocket. He bought a hot dog and a drink for $4.50 and then
Alekssandra [29.7K]

Answer:

The answer is 14.

Step-by-step explanation:

4.50 + 2.00x ≤ 32.50

32.50 - 4.50 = 28

28 / 2.00 = 14

The total number of tickets he can buy is 14.

5 0
3 years ago
A college has an acceptance rate of 17%. If 3,240 students apply, about
zloy xaker [14]

Answer:

550

Step-by-step explanation:

so we know that 17% of everyone who applies (3,240) will be accepted.

0.17*3,240= 550.8

550 students will be accepted

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hope this helps

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4 years ago
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