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klio [65]
2 years ago
10

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

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
4 0
Plug in x = 1 to get...
f(x) = 5(2)^x
f(1) = 5(2)^1
f(1) = 10
So the point (1,10) is on this curve

Do the same for x = 5
f(x) = 5(2)^x
f(5) = 5(2)^5
f(5) = 160
The point (5,160) is also on the curve

Use the slope formula now
m = (y2-y1)/(x2-x1)
m = (160-10)/(5-1)
m = 150/4
m = 37.5

The average rate of change is 37.5
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Mumz [18]

One quarter weighs about 5.67 grams.

5.67 x 32 = 181.44 grams

Grams to kg = .001

181.44 x .001 = .18144 kg

Answer: .18144 kg

7 0
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11. John puts a fence around his rectangular backyard. The width of his backyard is 10 feet. He
Lady_Fox [76]

Length = 20 ft

If he uses 60 ft of fencing to line his rectangular backyard, then the perimeter is 60 ft.

Perimeter formula is ((Width × 2) + (Length × 2))

10 × 2 = 20

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4 0
2 years ago
5 x {3 x [9 - (4 + 1)]} + 20 ÷ 4 x 2 =
adell [148]
To solve a problem like this, we need to start with the innermost parenthesis. Doing that, we get to 4+1, evaluating it giving us 5. This turns our expression into 5 x {3 x [9 - 5]} + 20 ÷ 4 x 2.



Now, the innermost parenthesis is 9-5. Evaluating that gives us 4. Our expression is now 5 x {3 x 4} + 20 ÷ 4 x 2.



Once again, we go to the innermost parenthesis and evaluate whatever is there. This turns our expression into <span>5 x 12 + 20 ÷ 4 x 2.



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7 0
2 years ago
Read 2 more answers
-6y+15= -27 what is y?
stealth61 [152]

Answer:

y=7

Step-by-step explanation:

-6y= -27-15

-6y= -42

y=7

8 0
2 years ago
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The following linear equation represents the line of best fit for the following scatter plot
Lynna [10]

Answer:

C) About 243 hits

General Formulas and Concepts:

<u>Pre-Algebra </u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define </u>

y = home runs

x = hits

[Best Line of Fit] y = 0.15x - 1.5

<em>We can use this to predict the average of the scatter plot. </em>

home runs = y = 35

<u>Step 2: Solve for </u><em><u>x</u></em><u> hits</u>

  1. Substitute [BLF]:                    35 = 0.15x - 1.5
  2. Add 1.5 on both sides:          36.5 = 0.15x
  3. Divide 0.15 on both sides:    243.333 = x
  4. Rewrite:                                  x = 243.333

Remember that this is a <em>prediction</em>. According to the best line of fit, we would need approximately ~243 to get 35 home runs.

6 0
2 years ago
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