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Mrrafil [7]
3 years ago
11

Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average

rate of change of each section. (4 points) Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points) (10 points)
Mathematics
1 answer:
hichkok12 [17]3 years ago
3 0

Answer:

Section A = 18

Section B = 288

Section B is 16 times greater than A

Step-by-step explanation:

Given the function :

g(x) = 6(4)^x

x = 0 to x = 1

At x = 0

g(0) = 6(4)^0 = 6(1) = 6

At x = 1

g(1) = 6(4)*1 = 24

Average rate of change for Section A = g(1) - g(0) = 24 - 6 = 18

Section B ;

x = 2 ; x = 3

g(x) = 6(4)^x

x = 2 to x = 3

At x = 2

g(0) = 6(4)^2 = 6 * 16 = 96

At x = 3

g(1) = 6(4)^3 = 6(4*4*4) = 384

Average rate of change for Section B = g(3) - g(2) = 384 - 96 = 288

Number of times B is greater than A

Section B / section A = 288 / 18 = 16 times

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7x-10+2x=39+2x<br> what is the answer
stich3 [128]

Answer:

X=7

Step-by-step explanation:

STEP 1: Simplify both sides of the equation

7x + -10 + 2x =39 + 2x

(7x + 2x) + (-10) = 2x + 39 (combine like terms)

9x -10 = 2x + 39

step 2: Subtract 2x from both sides

9x -10 - 2x = 2x + 39 - 2x

7x - 10 =39

Step 3: Add 10 to both sides.

7x - 10 + 10 = 39 + 10

7x = 49

Step 4: Divide both sides by 7.

7x/ 7 = 49/7   <u> x=7</u>

<u>hope this helps!!</u>

6 0
3 years ago
Any help is appreciated, this is timed :)
tekilochka [14]

Answer:

step 6 has an algebraic error

7 0
3 years ago
In recent years more people have been working past the age of 65. In 2005, 27% of people aged 65–69 worked. A recent report from
Vinil7 [7]

Answer:

a) point estimate is 30%

b) null and alternative hypothesis would be

H_{0}: p=27%

H_{a}: p>27%

c) We reject the null hypothesis, percentage working people aged 65-69 had increased

Step-by-step explanation:

<em>a. </em>

Point estimate would be the proportion of the working people aged 65–69 to the sample size and equals \frac{180}{600}=0.3 ie 30%

<em>b.</em>

Let p be the proportion of people aged 65–69 who is working. OECD claims that percentage working had increased. Then null and alternative hypothesis would be

H_{0}: p=27%

H_{a}: p>27%

<em>c.</em>

z-score of the sample proportion assuming null hypothesis is:

\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of working people aged 65–69 (0.3)
  • p is the proportion assumed under null hypothesis. (0.27)
  • N is the sample size (600)

then z=\frac{0.3-0.27}{\sqrt{\frac{0.27*0.73}{600} } } = 1.655

Since one tailed p value of 1.655 = 0.048 < 0.05, sample proportion is significantly different than the proportion assumed in null hypothesis. Therefore we reject the null hypothesis.

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3 years ago
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Studentka2010 [4]

8 hours * 365 days

8 * 365 = 2920 hours


5 0
4 years ago
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il63 [147K]
One square foot is 12in x 12in which means one square foot is equal to 144 square inches. 

If 8 pieces of glass = 144 square inches
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(8 pieces of glass) x 6 = (144 square inches) x 6
so 48 pieces of glass = 864 square inches

The answer is B 48 pieces
6 0
4 years ago
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