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dusya [7]
3 years ago
10

Simplify. Rewrite the expression in the form 5^n(5^3)^2=​

Mathematics
1 answer:
Temka [501]3 years ago
6 0

Answer:

5^12

Step-by-step explanation:

index notation rules states that when there is a power inside AND outside the brackets, they shall multiply together. hence, we will multiply 3 and 2 so we will get 6 and thus the answer will be 5^6. Sike, that's not the answer, we forgot to multiply 5 with that power too... so we will get 25^6 because same power (outside brackey) will affect everything inside...

now after we got 25^6, we need to simplify it to get 5^n ....

so as we know 5^2 is 25, we can do this,

(5^2)^6 so we will multiply the powers to get

5^12 which is your answer :)

pls mark this as brainliestttt

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The numbers in this chart represent the total number of points scored by five members of the high school basketball team during
ki77a [65]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
The aquarium has 1 fewer red fish than blue fish. 60 percent of the fish are blue. How many blue fish are in the aquarium? Show
antoniya [11.8K]
60% are blue.
3/5 are blue.
2/5 are red.
There are 3 blue fish and 2 red fish.
3 0
3 years ago
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You need a 90% alcohol solution. On hand, you have a 55 mL of a 45% alcohol mixture. You also have 95% alcohol mixture. How much
Molodets [167]

Answer:

495 milliliters of the 95% mixture are needed.

Step-by-step explanation:

Given that I need a 90% alcohol solution, and on hand I have a 55 ml of a 45% alcohol mixture, and I also have 95% alcohol mixture, to determine how much of the 95% mixture will I need to add to obtain the desired solution, the following calculation must be performed:

55 x 0.45 + 45 x 0.95 = 67.5

25 x 0.45 + 75 x 0.95 = 82.5

15 x 0.45 + 85 x 0.95 = 87.5

10 x 0.45 + 90 x 0.95 = 90

10 = 55

90 = X

90 x 55/10 = X

4,950 / 10 = X

495 = X

Thus, 495 milliliters of the 95% mixture are needed.

5 0
3 years ago
Solve for u.<br> 4+3u = -2<br> Simplify your answer as much as possible.
Elza [17]

Answer:

-2

Step-by-step explanation:

4+3u=-2

3u=-2-4

u=-6/3

u=-2

8 0
4 years ago
Read 2 more answers
Find a decomposition of a=⟨−5,−1,1⟩ into a vector c parallel to b=⟨−6,0,6⟩ and a vector d perpendicular to b such that c+d=a.
dezoksy [38]

The projection of vector A <em>parallel</em> to vector B is \langle -3, 0, 3\rangle and the projection of vector A <em>perpendicular</em> to vector B is \langle -2, -1, -2\rangle.

In this question, we need to determine all projections of a vector with respect to another vector. In this case, the projection of vector A <em>parallel</em> to vector B is defined by this formula:

\vec a_{\parallel , \vec b} = \frac{\vec a \,\bullet\,\vec b}{\|\vec b\|^{2}}\cdot \vec b (1)

Where \|\vec b\| is the norm of vector B.

And the projection of vector A <em>perpendicular</em> to vector B is:

\vec a_{\perp, \vec b} = \vec a - \vec a_{\parallel, \vec b} (2)

If we know that a = \langle -5, -1, 1 \rangle and \vec b = \langle -6, 0, 6 \rangle, then the projections are now calculated:

\vec a_{\parallel, \vec b} = \frac{(-5)\cdot (-6)+(-1)\cdot (0)+(1)\cdot (6)}{(-6)^{2}+0^{2}+6^{2}} \cdot \langle -6, 0, 6 \rangle

\vec a_{\parallel, \vec b} = \frac{1}{2}\cdot \langle -6, 0, 6 \rangle

\vec a_{\parallel, \vec b} = \langle -3, 0, 3\rangle

\vec a_{\perp, \vec b} = \langle -5, -1, 1 \rangle - \langle -3, 0, 3 \rangle

\vec a_{\perp, \vec b} = \langle -2, -1, -2\rangle

The projection of vector A <em>parallel</em> to vector B is \langle -3, 0, 3\rangle and the projection of vector A <em>perpendicular</em> to vector B is \langle -2, -1, -2\rangle.

We kindly invite to check this question on projection of vectors: brainly.com/question/24160729

7 0
3 years ago
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