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Bond [772]
3 years ago
12

Which of the following can be modeled with an exponential function? Select all that apply.

Mathematics
2 answers:
UkoKoshka [18]3 years ago
5 0

Answer:

The answer is number 2,3, and 5.

Step-by-step explanation:

bogdanovich [222]3 years ago
3 0

Answer: The answers are

(ii) The cost to attend Universal Studios increases by 1% each year,

(iii) An endangered species population is decreasing by 12% each year,

(iv) The population of a town that is growing by 5% each year.

Step-by-step explanation:  We are given five functions and we are to select those which can be modelled with an exponential function.

(i) Here, height is varying with respect to time, so it will be a linear function.

(ii) Here, the cost to attend Universal Studios is increasing by 1% every year, so this will be an exponential function.

(iii) Here, an endangered species population is decreasing by 12% each year.

So, this will also be an exponential function.

(iv) Since we are considering the distance travelled by the bicycle at a constant speed of 25 mph, so this will be a linear function.

(v) Here also the population is growing by 5% each year. So, the function will be exponential.

Thus, the correct answer is second, third and fifth.

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charle [14.2K]

Recall that

sin(<em>a</em> + <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) + cos(<em>a</em>) sin(<em>b</em>)

sin(<em>a</em> - <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) - cos(<em>a</em>) sin(<em>b</em>)

Adding these together gives

sin(<em>a</em> + <em>b</em>) + sin(<em>a</em> - <em>b</em>) = 2 sin(<em>a</em>) cos(<em>b</em>)

To get 14 cos(39<em>x</em>) sin(19<em>x</em>) on the right side, multiply both sides by 7 and replace <em>a</em> = 19<em>x</em> and <em>b</em> = 39<em>x</em> :

7 (sin(19<em>x</em> + 39<em>x</em>) + sin(19<em>x</em> - 39<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) + sin(-20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) - sin(20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

4 0
3 years ago
3. Complete the sentence by choosing the proper option from the given choices.
DanielleElmas [232]

Answer:

B. is exactly 1 triangle

Step-by-step explanation:

For any given triangle, the sum of the internal angles is 180^{o}. Thus from the given question, adding the given angles;

30° + 70° + 80° = 180^{o}

Therefore, only one triangle can be produced with the given measure of angles. This implies that there is exactly one triangle. So that the correct option is B.

3 0
2 years ago
please help! will give brainliest if the answer is correct:) need the answers in order to move on in the lesson!
scZoUnD [109]

Answer:

Just use a calculator and wite the square root value in it

Step-by-step explanation:

Atempt this method with all options at last u will have ur answer

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3 years ago
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frozen [14]

Step-by-step explanation:

Given

- 5x + 3 = 2x - 1

or, 2x + 5x = 3 + 1

or, 6x = 4

or, x = 4/ 6

Therefore x = 2 /3

Hope it will help :)❤

8 0
2 years ago
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A square has an area of 9yd^2. What is the length of each side?
BlackZzzverrR [31]

Answer: The side length is 3 yards.

Step-by-step explanation:

To find the area of a square, you have to square one of it's side lengths since they all share the same length.  Since we know the area, and we need to find the side length so we just need to find the square root of the area.

\sqrt{9} = 3    

The side length is 3 yards.

3 0
3 years ago
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