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kherson [118]
2 years ago
9

What does p to the power of 5 divided by p to the power of 2 equal?

Mathematics
2 answers:
S_A_V [24]2 years ago
3 0
P^5 / P^2

The base are equal, so we should to subtracting the powers only


Dividing exponential expressions
P^5 / P^2 = P^(5-2)
:. = P^3
Mama L [17]2 years ago
3 0

Answer:

<h3>P^3</h3>

Step-by-step explanation:

5-2=3

P^5-P^2=P^3

<h3><u>Hope this helps!</u></h3>

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A solid right pyramid has a square base. The length of the base edge is4 cm and the height of the pyramid is 3 cm period what is
Illusion [34]

Answer:

The volume of this pyramid is 16 cm³.

Step-by-step explanation:

The volume V of a solid pyramid can be given as:

\displaystyle V = \frac{1}{3} \cdot b \cdot h,

where

  • b is the area of the base of the pyramid, and
  • h is the height of the pyramid.

Here's how to solve this problem with calculus without using the previous formula.

Imaging cutting the square-base pyramid in half, horizontally. Each horizontal cross-section will be a square. The lengths of these squares' sides range from 0 cm to 3 cm. This length will be also be proportional to the vertical distance from the vertice of the pyramid.

Refer to the sketch attached. Let the vertical distance from the vertice be x cm.

  • At the vertice of this pyramid, x = 0 and the length of a side of the square is also 0.
  • At the base of this pyramid, x = 3 and the length of a side of the square is 4 cm.

As a result, the length of a side of the square will be

\displaystyle \frac{x}{3}\times 4 = \frac{4}{3}x.

The area of the square will be

\displaystyle \left(\frac{4}{3}x\right)^{2} = \frac{16}{9}x^{2}.

Integrate the area of the horizontal cross-section with respect to x

  • from the top of the pyramid, where x = 0,
  • to the base, where x = 3.

\displaystyle \begin{aligned}\int_{0}^{3}{\frac{16}{9}x^{2}\cdot dx} &= \frac{16}{9}\int_{0}^{3}{x^{2}\cdot dx}\\ &= \frac{16}{9}\cdot \left(\frac{1}{3}\int_{0}^{3}{3x^{2}\cdot dx}\right) & \text{Set up the integrand for power rule}\\ &= \left.\frac{16}{9}\times \frac{1}{3}\cdot x^{3}\right|^{3}_{0}\\ &= \frac{16}{27}\times 3^{3} \\ &= 16\end{aligned}.

In other words, the volume of this pyramid is 16 cubic centimeters.

5 0
2 years ago
Please help i need help
inna [77]

Answer:

The answer simplified is -6

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
I need help on this one.
Flura [38]

Answer:

1) 180 is a straight line, so 180 - 118 = <em>62</em>

2) 180 degrees are in a triangle, so 180 - (62) - 73 = <em>45</em>

3) 180 is a straight line, so 180 - 73 = 107. There are 180 degrees in a triangle, so 180 - 49 - 45 = <em>86</em>

4 0
2 years ago
Helpppppppppp I’m almost doneeeee
Luda [366]
The answer is -4 final answer
3 0
2 years ago
WILL MARK BRAINLIEST!! Im on edge 2020!
zhannawk [14.2K]

Answer: 80% of x = 20

Hope this helps bye

Have a lovely day.

7 0
3 years ago
Read 2 more answers
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