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allsm [11]
3 years ago
8

Simplify (x^14)^3 ffffffffffffffffffffffffffffff

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
3 0

Answer:

(x^{14}) ^{3} = x^{42}

Step-by-step explanation:

In this case in order to simplify we need to know what the "power rule of exponents" is. Simply speaking this rule states that when you raise a power to  a power you multiply the exponents. So in our case we ill get the following

(x^{14}) ^{3} = x^{42}

In order to get 42 we used the power rule which I mentioned earlier.

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What are positive even intergers less than 250​
Eva8 [605]

Answer:

Positive even integers less than 250 include 2, 4, 6, 8, 248, etc.

7 0
3 years ago
Find the volume of the pyramid below. Hint: The base is a right triangle, so you will need to find
Aleks04 [339]

<u>Given</u>:

Given that the height of the pyramid is 12 units.

The base of the triangle is 8 units.

The height of the triangle is 6 units.

We need to determine the volume of the pyramid.

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

A=\frac{1}{2} bh

where b is the base of the triangle and h is the height of the triangle.

Substituting the values, we get;

A=\frac{1}{2}(8)(6)

A=\frac{1}{2}(48)

A=24

Thus, the area of the triangle is 24 square units.

<u>Volume of the pyramid:</u>

The volume of the pyramid can be determined using the formula,

V=\frac{1}{3}AH

where A is the area of the triangle and H is the height of the pyramid.

Substituting the values, we get;

V=\frac{1}{3}(24)(12)

V=\frac{1}{3}(288)

V=96

Thus, the volume of the pyramid is 96 cubic units.

4 0
3 years ago
2) Find FE Create equation
Ivan

Answer:

x+6+x+5=7

Step-by-step explanation:

4 0
3 years ago
Explain a way to find each sum 8 + 4
amm1812
Since we are adding two positive numbers here, their sum could be found by writing either

 8
+4
---               
12

or

 
  4
+8
---
12
6 0
3 years ago
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 y2 = (3x2 2y2 − x)2 (0,
inna [77]
X^2 + y^2 = (3x^2 + 2y^2 - x)^2
2x + 2y f'(x) = 2(3x^2 + 2y^2 - x)(6x + 4y f'(x) - 1) = 36x^3 + 24x^2yf'(x) + 24xy^2 + 16y^3f'(x) - 4y^2 - 18x^2 - 8xyf'(x) + x
f'(x)(2y - 24x^2y - 16y^3 + 8xy) = 36x^3 + 24xy^2 - 4y^2 - 18x^2 - x
f'(x) = (36x^3 + 24xy^2 - 4y^2 - 18x^2 - x)/(2y - 24x^2y - 16y^3 + 8xy)
f'(0, 0.5) = -4(0.5)^2/(2(0.5) - 16(0.5)^3) = -1/(1 - 2) = -1/-1 = 1

Let the required equation be y = mx + c; where y = 0.5, m = 1, x = 0
0.5 = 1(0) + c = 0 + c
c = 0.5

Therefore, the tangent line at point (0, 0.5) is
y = x + 0.5

3 0
3 years ago
Read 2 more answers
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