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9966 [12]
1 year ago
9

Please provide the answer?

Mathematics
1 answer:
Brums [2.3K]1 year ago
3 0

Using the given table:

a) the average rate of change is 32.5 jobs/year.

b) the average rate of change is 12.5 jobs/year.

<h3>How to find the average rate of change?</h3>

For a function f(x), the average rate of change on an interval [a, b] is:

\frac{f(b) - f(a)}{b - a}

a) The average rate of change between 1997 and 1999 is:

A = \frac{695 - 630}{1999 - 1997}  = 32.5

So the average rate of change is 32.5 jobs/year.

b) Now the interval is 1999 to 2001.

The rate this time is:

A ' = \frac{720 - 695}{2001 - 1999} = 12.5

So the average rate of change is 12.5 jobs/year.

If you want to learn more about average rates of change:

brainly.com/question/8728504

#SPJ1

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Elsa’s magic is and can cast 53 spells. Her wand can cast 17 fewer spells than her sisters Anna’s want, which is a little bigger
otez555 [7]

Answer:

I think it's 70 spells

Step-by-step explanation:

Just add 53 and 17 to get your answer.

I doubt this is the answer :(

8 0
2 years ago
What is the median value of the data set shown on the line plot?
s344n2d4d5 [400]

Answer:

30

Step-by-step explanation:

27, 28, 28, 29, 29, 29, 30, 30, 30, 31, 31, 31, 33, 34

Continuously cross one off from each side and get 30 and 30. The mean of these is 30.

5 0
3 years ago
Read 2 more answers
Using the law of cosines, write an algebraic proof to show that the angles in an equilateral triangle must equal 60°. Use "∧" to
bekas [8.4K]

The algebraic proof shows that the angles in an equilateral triangle must equal 60° each

<h3>Laws of cosines </h3>

From the question, we are to use the law of cosines to write an algebraic proof that shows that the angles in an equilateral triangle must equal 60°.

Given any triangle ABC, the measures of angles A, B, and C by the law of cosines are

cos A = (b^2 + c^2 - a^2)/2bc

cos B= (a^2 + c^2 - b^2)/2ac

cos C = (a^2 + b^2 - c^2)/2ab  

Now, given that the triangle is equilateral, with each of the side lengths equal to s

That is, a = b = c = s

Then, we can write that

cos A = (s^2 + s^2 - s^2)/(2s×s)

cos A = (s^2 )/(2s^2)

cos A = 1/2

cos A = 0.5

∴ A = cos⁻¹(0.5)

A = 60°

Also

cos B = (s^2 + s^2 - s^2)/(2s×s)

cos B = (s^2 )/(2s^2)

cos B = 1/2

cos B = 0.5

∴ B = cos⁻¹(0.5)

B = 60°

and

cos C = (s^2 + s^2 - s^2)/(2s×s)

cos C = (s^2 )/(2s^2)

cos C = 1/2

cos C = 0.5

∴ C = cos⁻¹(0.5)

C = 60°

Thus,

A = 60°, B = 60° and C = 60°

Hence, the algebraic proof above shows that the angles in an equilateral triangle must equal 60° each.

Learn more on The law of cosines here: brainly.com/question/2866347

#SPJ1

3 0
2 years ago
Find the three trigonometric..pls help due very soon
astraxan [27]

Answer:

sin 0 = 24/25

cos 0 = 7/25

tan 0 = 24/7

Step-by-step explanation:

hey there!

sine = opposite divided by hypotenuse

the opposite of angle 0 is 24 and the hypotenuse is 25 so sin 0 = 24/25

cosine = adjacent divided by hypotenuse

the adjacent of 0 is 7 and the hypotenuse is 25 so cos 0 = 7/25

Tangent.= opposite divided by adjacent

the opposite of 0 is 24 and the hypotenuse is 7 so tan 0 = 24/7

4 0
2 years ago
A plumber has a 36-in pipe he must cut it into two pieces so that one piece is 14 inches longer than the other how long is each
ioda
The longest piece is 25 inches and the shortest piece is 11 inches.

(36/2) - (14/2) = shortest piece
18 - 7 = 11 (shortest piece)

36 - 11 = 25 (longest piece)

25 - 11 = 14 inches difference between the pieces
3 0
3 years ago
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