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IgorLugansk [536]
3 years ago
5

What is the average rate of change of the function f(x)=2(3)^x from x=2 to x=4

Mathematics
2 answers:
Tasya [4]3 years ago
5 0

Answer:

Use the slope formula to find the average rate of change:

m =y

2

−

y

1

x

2

−

x

1

m

=

f

(

4

)

−

f

(

2

)

4

−

2

To simplify this, we need to find values of

f

(

4

)

and

f

(

2

)

:

f

(

4

)

=

2

(

3

)

4

=

2

(

81

)

=

162

f

(

2

)

=

2

(

3

)

2

=

2

(

9

)

=

18

m

=

162

−

18

2

m

=

144

2

m

=

72

Step-by-step explanation:

Vikki [24]3 years ago
3 0
Hope it is useful!!!

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Sin150+sin120÷cos210-cos300
natulia [17]
From sin(180-x) = sin(x)
sin(150) = sin(180-30) = sin(30)
sin(120) = sin(180-60) = sin(60)

from cos(360-x) = cos(x)
cos(300) = cos(360-60) = cos(60)
cos(210) = cos(360-150) = cos(150)

from cos(180-x) = -cos(x)
cos(210) = cos(150) = cos(180-30) = -cos(30)
6 0
3 years ago
a farmer produced 47581 2 oranges of one kind and 651 65 oranges of another kind He mixed these oranges and packed in 296 boxes
storchak [24]

Step-by-step explanation:

I am not sure the scanning of the text went well, as this has some strange gaps in the numbers.

I understand that we have 475812 oranges of one type and 65165 oranges of another type.

we have no information, if these types of oranges have significantly different sizes or weight. so, we have to assume that they are reasonably equal to each other.

therefore, the "different type" statement is just to confuse us. the text could have also said that these were 2 different truck loads of the same type.

we only need to deal with the total number of oranges.

so,

475812 + 65165 = 540977 total oranges

he packs them into 296 boxes.

that makes

540977 / 296 = 1827.625 oranges per box.

these are many oranges for one box in real life.

and it is not a round number, which is strange for a home work or test question if this type.

if the farmer truly put only the same number of oranges in every box, he would have

540977 - 1827×296 = 540977 - 540792 = 185

oranges left over.

in any case, these are all signs that there was probably something wrong with the text. but you see the principle up there. please do the same thing with the real numbers.

6 0
3 years ago
Read 2 more answers
Carlos friends absolute value of -5.3, and then find the opposite of his answer. Jason finds the opposite of -5.3, and then find
chubhunter [2.5K]

The absolute value of -5.3 is converted into 5.3, thereby 5.3 is greater.

6 0
3 years ago
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quester [9]
Try A:
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Try B:
6^(2*1.61) = 320.366

Try C:
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Try D:
6^(2*1.13) = 57.362

Which one seems like the best answer?
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3 years ago
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aev [14]
Hello the correct answer is d have a great one
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