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Doss [256]
3 years ago
9

What is the average rate of change of the function f(x)=5(2)^x from x = 1 to x = 5?

Mathematics
1 answer:
Mila [183]3 years ago
5 0
Average rate of change refers to the slope of a function/equation. 
To solve this, plug in for both x values and calculate the average, or mean. 

x = 1 
f(1) = 5(2)^1 
      = 5(2) 
      = 10

x = 5 
f(5) = 5(2)^5
      = 5(32) 
      = 160

Now, you calculate the average: 
10 + 160 = 170 
Divide by 2 and you get 85.



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I hope this helps you



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5 0
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tell which property the statement illustrates. please help with this question i will mark you brainliest!
QveST [7]

Associative property of addition.

6 0
3 years ago
Surveys indicate that two-thirds of all voters in Ward 5 plan on choosing Spike Jones for commissioner. If there are 500 voters
olya-2409 [2.1K]

<u>Answer:</u>

333 people of ward 5 are going to be voting for Spike Jones.

<u>Solution:</u>

We have been given that two-thirds of all voters in Ward 5 plan on choosing Spike Jones for commissioner.  

There are 500 voters in Ward 5.

Since 2/3 of all voters in Ward 5 are voting for Spike Jones the remaining 1/3 will not be voting for him.

To find out how many people in ward 5 are exactly voting for Spike Jones. We need to calculate how much is two thirds of 500 is.

This is done as follows:

\begin{array}{l}{\frac{2}{3} \times 500} \\\\ {=\frac{1000}{3}} \\\\ {=333.334}\end{array}

Since people cannot be denoted in decimal points we have to round it off to a whole number. That’s is 333.

Therefore 333 people of ward 5 are going to be voting for Spike Jones.

4 0
3 years ago
Someone help me fast please
lions [1.4K]

Answer:

86

Step-by-step explanation:

<u>Perimeter of WXY = WSY+WRX+XY</u>

<em>--> WSY = SY x 2</em>

--> WSY = 16 x 2 = 32

<em>Since it is an isosceles triangle, WRX = WSY</em>

--> WRX = 32

<em>--> Draw a straight line from W to XY to divide it into two halves assuming it to be point A. This would form a right angle triangle of WAX.</em>

<em>--> Solve it using the cos theta rule</em>

--> Angle = Angle X = 70°

    Hypotenuse = WRX = 32

    Adjacent = WA = ?

<em>--> Cos (Angle) = Adjacent/Hypotenuse</em>

    Cos (70) = WA/32

    WA = 10.9 rounded off to 11

--> WA=AY= 11

--> XY = WA + AY = 11+11 = 22

<em>--> Perimeter = WSY+WRX+XY</em>

    Perimeter = 32+32+22

    Perimeter = 86

Therefore, the perimeter of WXY is 86.

4 0
3 years ago
What is the slope of the<br> line that passes through the<br> points (-12, -5) and (0, -8)?
denis-greek [22]

Answer:

I think its - 2/3

Step-by-step explanation:

5 0
3 years ago
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