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Over [174]
2 years ago
10

Radical functions are the inverse functions of exponential functions. A.true B.false

Mathematics
1 answer:
dybincka [34]2 years ago
4 0
Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1.
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Hannah is participating in a marathon. She can run 4 miles in 50 minutes. At this rate, how long will it take Hannah to run 30 m
ra1l [238]
The answer is c


Because if it takes 50 minutes to run 4 miles you need to divide 50/4 and you will get 12.5 and then multiply that by 30 cause she is trying to run 30 miles and that will get you 375 and then divide that by 60 cause their are 60 minutes in a hour and you will get 6.25
3 0
3 years ago
Write an equation that you could use to calculate the distance from NIGEL's feet to the balloon. Let x represent the unknown dis
Sholpan [36]
X2+122=182 I think sorry if am not right
7 0
2 years ago
Read 2 more answers
6x + 5y = 82<br> 2x + 5y = 54
vovikov84 [41]

Answer:

A) 6x + 5y = 82

B) 2x + 5y = 54  We'll multiply equation B) by -1

B) -2x -5y = -54 Then we'll add this to A)

A) 6x + 5y = 82

4x = 28

x = 7

y = 8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I have 8 slices of pizza in a box, all 8 are triangle shaped, my perimeter is 43.98 Octagon with each edge 5.49 inches. So, I ne
kondor19780726 [428]

Answer:

1) The area of the circle pizza is approximately 161.64 in.²

2) The area of the octagon shaped pizza is approximately 145.52 square inches

Step-by-step explanation:

The 8 slices of pizza combine to form the composite octagon

The parameters of the pizza are;

The perimeter of the octagon = 43.98 inches

The length of each (outer) edge of the octagon = 5.49 inches

The outer edge of the octagon = The base of the triangle shaped pizza

Let θ represent the vertex angle of the triangle shaped pizza

Therefore, we have;

θ = (The angle at the center point of the pizza)/8 = 360°/8 = 45°

The vertex angle of the triangle shaped pizza, θ = 45°

We note that a triangle shaped pizza is isosceles shaped, therefore, the base angles are given as follows;

The base angles of a piece of pizza = (180° - (angle at vertex))/2

∴ The base angles of a piece of pizza = (180° - 45°)/2 = 67.5°

The length, 'l', of the other sides of the triangle shaped pizza is given by sine rule as follows;

l/(sin 67.5°) = 5.49/(sin(45°)

∴ l = (sin 67.5°) × 5.49/(sin(45°)

l = (sin 67.5°) × 5.49/(sin(45°) ≈ 7.173

The length of the other sides of the triangle shaped pizza, l ≈ 7.173 inches

1) The length of the other sides of the triangle shaped pizza, l = The radius of the circle, r

The area of the circle = π·l²

∴ The area of the circle ≈ π × (7.173 in.)² ≈ 161.64 in.²

2) The area of each triangle piece of pizza is given as follows;

The area of a triangle, A = 1/2×l·b·sin(C)

∴ A = 1/2× 5.49 × 7.173 × sin(67.5°) ≈ 18.19

The area of each triangle piece of pizza, A ≈ 18.19 inches²

The total area of 8 slices of octagon shaped pizza, TA ≈ 8 × A

∴ TA ≈ 8 × 18.19 inches² ≈ 145.52 inches²

The total area of 8 slices of octagon shaped pizza, TA ≈ 145.52 inches²

4 0
2 years ago
Find derivative of y=(-3x^5+1)^3
sattari [20]

Use the chain rule:

\frac{\mathrm dy}{\mathrm dx}=3(-3x^5+1)^2\frac{\mathrm d[-3x^5+1]}{\mathrm dx}=3(-3x^5+1)^2(-15x^4)=\boxed{-45x^4(1-3x^5)^2}

6 0
3 years ago
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