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juin [17]
3 years ago
9

Simplify the answer has to be a positive exponent Please help!

Mathematics
2 answers:
borishaifa [10]3 years ago
3 0

5^4 /5

Use the exponent rule x^a/x^b = x^a-b

5^4/5 = 5^4-1 = 5^3

Answer as a positive exponent is 5^3

kondor19780726 [428]3 years ago
3 0

Answer:

the answer is 5^3

Step-by-step explanation:

5^4÷5

when we÷, we multiply the exponence. so it will be , 5^4-1= 5^3

answer as positive exponent is 5^3

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kicyunya [14]

Answer:

547.5 cm

Step-by-step explanation:

730(9/12)=547.5

7 0
2 years ago
The perimeter of a triangle is 17x-5 units. One side is 3.x + 5 units and another is 8x-3 units. How many units long is the thir
Ivahew [28]

Answer:

C = 6x - 7 units

Step-by-step explanation:

Let the three sides of the triangle = A, B, and C respectively.

<u>Given the following data;</u>

Perimeter of triangle, P = 17x-5 units

Side A = 3x+5 units

Side B = 8x-3 units

To find side C?

The perimeter of a triangle is given by the addition of all its three (3) sides.

Mathematically, the perimeter of a triangle is given by the formula;

P = A + B + C

Making "C" the subject of formula, we have;

C = P - A - B

Substituting into the equation, we have

C = 17x - 5 - (3x + 5) - (8x - 3)

C = 17x - 5 - 3x - 5 - 8x + 3

Collecting the like terms, we have;

C = 17x - 3x - 8x - 5 - 5 + 3

C = 6x - 7 units

Therefore, the third side is 6x - 7 units long.

5 0
3 years ago
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2 years ago
A rectangular box has a square base. The combined length of a side of the square base, and the height is 20 in. Let x be the len
aniked [119]

Answer:

a. V = (20-x) x^{2} in^{3}  

b . 1185.185 in^{3}

Step-by-step explanation:

Given that:

  • The height:  20  - x (in )
  • Let x be the length of a side of the base of the box (x>0)

a. Write a polynomial function in factored form modeling the volume V of the box.

As we know that, this is a rectangular box has a square base so the Volume of it is:

V = h *x^{2} in^{3}

<=> V = (20-x) x^{2}  in^{3}

b. What is the maximum possible volume of the box?

To  maximum the volume of it, we need to use first derivative of the volume.

<=> dV / Dx = -3x^{2} + 40x

Let dV / Dx = 0, we have:

-3x^{2} + 40x  = 0

<=> x = 40/3

=>the height h = 20/3

So  the maximum possible volume of the box is:

V = 20/3 * 40/3 *40/3

= 1185.185 in^{3}

7 0
2 years ago
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Helen [10]

Answer:

0.4(−0.45)=9.2

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Step-by-step explanation:

=23.45

5 0
2 years ago
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