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USPshnik [31]
3 years ago
8

(2^n)^1/2=64 find value of n

Mathematics
1 answer:
sashaice [31]3 years ago
8 0

Hello, I can help.

The value of N- 7

Here is how i got the answer.

1: Multiply both sides by 2

2: Simplify 64*2 to 128

3: convert both sides; 2^n =2^7

4:divide 2 on both sides; n=7

Hope this helps.

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What table shows the function y=-2x-8
Zolol [24]

Answer:

Step 1

Swap sides so that all variable terms are on the left hand side.

-2x-8=y−2x−8=y

Step 2

Add 88 to both sides.

-2x=y+8−2x=y+8

Step 3

Divide both sides by -2−2.

\frac{-2x}{-2}=\frac{y+8}{-2}

−2

−2x

=

−2

y+8

Hint

Undo multiplication by dividing both sides by one factor.

Step 4

Dividing by -2−2 undoes the multiplication by -2−2.

x=\frac{y+8}{-2}x=

−2

y+8

Hint

Undo multiplication.

Step 5

Divide y+8y+8 by -2−2.

x=-\frac{y}{2}-4x=−

2

y

−4

Hint

Divide.

Solution

x=-\frac{y}{2}-4x=−

2

y

−4

Step-by-step explanation:

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4 0
2 years ago
A poster is to have an area of 240 in^2 with 1 inch margins at the bottom and sides and a 2 inch margin at the top. Find the exa
Vsevolod [243]

Answer:

  4√10 inches wide by 6√10 inches tall

Step-by-step explanation:

"Poster area" problems have an interesting general solution. The "printed area" is maximized, or the "poster area" is minimized, when the ratio of poster dimensions is equal to the ratio of margin dimensions.

Here, the top/bottom margins total 3 inches, and the side/side margins total 2 inches. That is, the printed area will be maximized when the poster has a width : height aspect ratio of 2 : 3. If w represents the width, then the total area is ...

  (w)(3/2w) = 240 . . . . square inches

  w^2 = 160

  w = √160 = 4√10 . . . . width in inches

Then the height is ...

  height = (3/2)w = (3/2)(4√10) = 6√10 . . . . height, inches

_____

<em>Graphical solution</em>

A graphing calculator gives the same result for x=width. Poster width is about 12.649 inches (=4√10), and printed area is a maximum of about 170.1 square inches.

_____

<em>Calculus solution</em>

Let x represent the width of the poster. Then x-2 is the width of the printed area. The height of the poster will be 240/x, and the height of the printed area will be (240/x)-3. We want to maximize the printed area ...

  a = (x -2)(240/x -3)

which means we want to find the value of x where the area derivative is zero.

  a = 240 -480/x -3x +6

  da/dx = 0 = 480/x^2 -3

Solving for x, we get ...

  x^2 = 480/3 = 160

  x = √160 = 4√10 . . . . . poster width, as above

3 0
3 years ago
B is a subset of A g Let set A = {a, b, c} and let set B = {b, c, d}<br> a. True <br> b. False
xxMikexx [17]

Answer:

False

Step-by-step explanation:

A subset is a set whose elements belong to another set

If B is a subset of A, B would contain elements of A

For example,  A = {a, b, c} and if B is a subset of A , B = { a, b}

7 0
3 years ago
Keith borrowed $102 from his dad, and he is paying him back $11 each month
cricket20 [7]

Answer:

9.2

Step-by-step explanation:

102/11

i would take him 9.2 months to pay back

4 0
3 years ago
Read 2 more answers
What is the value of sin X
Angelina_Jolie [31]

\sin(x)  =  \frac{opposit e \: cathetus}{hypotenuse}
Then sin(x) = 5/13
4 0
3 years ago
Read 2 more answers
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