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3 years ago

For the graphed function f(x) = (2)^x + 2 + 1, calculate the average rate of change from x = -2 to x = 0

Mathematics

1 answer:

Monica [59]3 years ago

5 0

X1=-2 and x2=0
We need to find y1 and y2 so
F(-2)=2^(-2+2)+1=2
The point(x1,y1)=(-2,2)
F(0)=2^(0+2)+1=5
The point(x2,y2)=(0,5)
Now, calculate the average rate of change (slope):
m = (y2 – y1) / (x2 – x1) =(5-2)/(0-(-2))
m=3/2
The answer is c
Hope it helps

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URGENT! PLEASE HELP.

Harrizon [31]

The distance BC from Tower 2 to the plane will be 14,065.5 ft and the height of the plane from the ground will be 5,720.9 ft.

<h3>What is a right-angle triangle?</h3>

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A plane is located at C on the diagram.

There are two towers located at A and B.

The distance between the towers is 7600 feet and angles of elevation are given.

Then in the right-angle triangle ΔADC, we have

$\rm \tan 16 = \dfrac{H}{7600 + X}\\\\\\H = 0.2867(7600 +X)\\\\\\H = 0.2756\ X + 2179.2649$ ...1

Then in the right-angle triangle ΔBDC, we have

$\rm \tan24 = \dfrac{H}{ X}\\\\\\H = 0.4452\ X$ ...2

From equations 1 and 2, we have

0.4452X = 0.2756 X + 2179.2649

0.1696X = 2179.2649

X = 12849.439 ≅ 12,849.4 ft

Then the distance BC from Tower 2 to the plane will be

$\rm BC = \dfrac{12849.4}{\cos 24}\\\\\\BC = 14065.5 \ ft$

Then the height of the plane from the ground will be

$\rm H = 12849.4 \times \tan 24 \\\\\\H = 5720.9 \ ft$

The figure is shown below.

More about the right-angle triangle link is given below.

brainly.com/question/3770177

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2 years ago

Which expression has the least value?<br> A. 3(33)<br> B. 0 31-33)<br> C. 0-31-33)<br> D. 3(3-3)

Deffense [45]

Answer:

I think it is C but can't be sure because B isn't clear.

Step-by-step explanation:

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Student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she d

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250 milliters of water remains

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A new television is on sale for $680.00, which is 20% off of its original price. What was the original price of the television?

Effectus [21]

Answer:

Original price of the television = $850

Step-by-step explanation:

Television price on sale = $680.00

% of sale = 20%

It means price on sale = 80% = $680.00

Original price of the television = 100% = ?

Price on 1% = 680/80 = $8.5

Original price of the television = 100% = $8.5 x 100

= $850

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3 years ago

Sweets are sold loose or pre packed in 120 G bags. The 120 G bags are 1.49 pounds each By calculating the price per gram determi

Karo-lina-s [1.5K]

Complete question :

Sweets are sold loose, or pre-packed in 120g bags.The 120g bags are £1.49 each.The loose sweets are £0.89 for 100g.

By calculating the price per gram, determine which is better value.

Answer:

100 g bag

Step-by-step explanation:

For the 120g bag:

Price per gram :

Price / Numbe of gram

1.49 / 120 = 0.0124 gram per bag

For the 100 g bag :

0.89 / 100

= $0.0089per gram

Since $0.0089 is < $0.0124

Then the 100g bag is of better value

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