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2 years ago

Which expression is equivalent to (2^3)^5?

Mathematics

2 answers:

Alenkasestr [34]2 years ago

8 0

<span>(2^3)^5
=2^(3*5)
= 2^15

hope it helps</span>

Lady bird [3.3K]2 years ago

3 0

Answer:

$2^{15}$

Step-by-step explanation:

we know that

$[a^{b}]^{c} =a^{b*c}$

in this problem we have

$[2^{3}]^{5}$

$[2^{3}]^{5} =2^{3*5}=2^{15}$

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A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Seven h

Arisa [49]

Answer:

Step-by-step explanation:

Suppose the dimensions of the playground are x and y.

The total amount of the fence used is given and it is 780 ft. In terms of x and y this would be 3x+2y=780 (we add 3x because we want it to be cut in the middle). Therefore, y= 780/2-3/2x. Now, the total area (A )to be fenced is

A=x*y= x*(390-3/2x)=-3/2 x^2+390x

Calculating the derivative of A and setting it equals to 0 to find the maximum

A'= -3x+390=0

This yields x=130.

Therefore y=780/2-3/2*130=195

Thus, the maximum area is 130*195=25,350ft^2

8 0

2 years ago

A theatre ticket costs £37 plus a booking fee of 4%.<br>What is the total price of the ticket?

Studentka2010 [4]

Answer:

£38.48

Step-by-step explanation:

First, we have to find what 4% of 37 is, so our equation is:

37 x 0.04 = 1.48

Then we have to add that 4% to the original cost:

1.48 + 37 = 38.48

So the total price of the theatre ticket is £38.48

6 0

2 years ago

The variables x and y vary inversely If x=5 when y=12, then find the value of x when y=32

Vilka [71]

Answer:

x=15/8

Step-by-step explanation:

Inverse variation is given by

xy = k

Substituting x=5 and y=12

5*12 = k

60 =k

Our original equation is xy = 60

Now let y=32

x*32 = 60

Divide each side by 32

32x/32 = 60/32

Divide top and bottom by 4

x = 15/8

4 0

2 years ago

Tomas is finding the coordinates of point A. He knows that point A has an x-coordinate of 8. He starts to compute the value of t

Contact [7]

The complete question is

"Tomas is finding the coordinates of point A. He knows that point A has an x-coordinate of 8. He starts to compute the value of the y-coordinate. Complete Tomas’s work to answer the question.

Which is the coordinate of point A? (8, –6) (–6, 8) (6, –8) (–8, –6)"

<h3>How to find the coordinates?</h3>

The order can be written as, (x,y).

Tomas is trying to find the coordinates of point A.

x- coordinate of Point A is given as 8.

Among the four given options, only option A has x, coordinate as 8.

So, Coordinate of Point A = (8, -6).

Hence, the correct Option is A (8, -6).

Learn more about Coordinate ;

brainly.com/question/7853289

#SPJ1

7 0

1 year ago

<img src="https://tex.z-dn.net/?f=%20-%200.4%20%2B%201.5%283.1%29" id="TexFormula1" title=" - 0.4 + 1.5(3.1)" alt=" - 0.4 + 1.5(

ANTONII [103]

Hi,

$- 0.4 + 1.5(3.1) \\ - 0.4 + 1.5 \times 3.1 \\ - 0.4 + 4.65 = 4.25$

Hope this helps.
r3t40

8 0

2 years ago