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harina [27]
3 years ago
5

WILL GIVE BRAINLIEST-What is the average rate of change of the function on the interval from x = 0 to x = 2?

Mathematics
2 answers:
Olenka [21]3 years ago
8 0
It is: (f(2) - f(0))/(2 - 0)

f(2) = 250(0.5)(2) = 250
f(0) = 250 (0.5)(0) = 0

So: (250 - 0)/(2 - 0) = 250/2 = 175

The average rate of change is 175.
Musya8 [376]3 years ago
7 0
Average=  f(2)−f(0)/2−0
=62.5−250/ 2-0
<span>= −93.75</span>
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Answer:

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Step-by-step explanation:

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1. Which formula defines the sequence f(1)=2, f(2)= 6, f(3)= 10, f(4)= 14, f(5)= 18?
Natasha_Volkova [10]

Answer:

f(n) =4 + f(n-1) \\for\ n>2

Step-by-step explanation:

Given

f(1)=2\\ f(2)= 6\\ f(3)= 10\\ f(4)= 14\\ f(5)= 18

Required

Determine the formula

First, we need to solve common difference (d)

d = f(n) - f(n-1)

Take n as 2

d = f(2) - f(2-1)

d = 6 - 2

d = 4

Represent each function as a sum of the previous

f(1) = 2

f(2) = 2 + 4 = f(1) + 4

f(3) = 6 + 4 = f(2) + 4

f(4) = 10 + 4 = f(3) + 4

f(5) = 14 + 4 = f(4) + 4

Represent the function as f(n)

f(n) =f(n-1) + 4

Reorder

f(n) =4 + f(n-1) \\for\ n>2

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3 years ago
Paul orders 3 different sizes of pizzas. Each pizza is cut into equal-sized slices as described in the table. Put the pizzas in
Elza [17]

The area of a slice from smallest area to largest area is given by:

  1. Pizza 1 (32π in²).
  2. Pizza 2 (32.7π in²).
  3. Pizza 3 (36π in²).

<h3>What is the area of a circle?</h3>

The area of a circle can be defined as the total space occupied or region enclosed by a circle within its boundary, and in a two-dimensional plane.

<h3>How to calculate the area of a circle?</h3>

Mathematically, the area of a circle is calculated by using this formula:

Area = πr²

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r is the radius of a circle.

For Pizza 1, we have:

Area = π × 16²

Area = π × 256

Area = 256π in².

Area of a slice = 256π/8

Area of a slice = 32π in².

For Pizza 2, we have:

Area = π × 14²

Area = π × 196

Area = 196π in².

Area of a slice = 196π/6

Area of a slice = 32.7π in².

For Pizza 3, we have:

Area = π × 12²

Area = π × 144

Area = 144π in².

Area of a slice = 144π/4

Area of a slice = 36π in².

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