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d1i1m1o1n [39]
3 years ago
15

the graph of f(x)=2^x+1 is shown below explain how to find the average rate of change between x=1 and x=3

Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0
First find the values of f(x) for x = 1 and for x = 3.
Reading off the graph they are f(x) = 3 and f(x) = 9 respectively.
You could also have found thess values by substitution of x in f(x) - eg for x = 1 f(x) =  2^1 + 1 =  3.

Average rate of change  =   difference in f(x) / difference in x = (9 - 3) / (3 - 1) = 6/2 = 3 answer

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if one Circle has a diameter of 10 cm and a second Circle has a diameter of 20 cm what is the ratio of the area of the larger ci
Oxana [17]
Area of a circle is πr^2.

The radius of the smaller circle with diameter 10 cm is 5 cm.

The radius of the larger circle with diameter 20 cm.is 10 cm.

Area of larger circle : Area of smaller circle

Area of larger circle = 100π.

Area of smaller circle = 25π.

Ratio = 100π : 25π or 100π/25π.

7 0
2 years ago
HELP ME PLEASE AND EXPLAIN IT TOO! 28 Points!!!!!!!!!!
SIZIF [17.4K]
X=4
First find the solution to (x+1) ft. I chose to guess the answer as 4 and it worked (you’ll have to guess). I then plugged 4 into the other equation 2x. It became 2•4. Solving give the side length of 8 ft. Then you have to check to make sure they both have the same area. To do this just solve the equations.
First rectangle- 4•4= 16 ft area
Second rectangle- 2•8 = 16 ft area
( I’m really sorry if this is confusing)
4 0
3 years ago
The average daily jail population in the United States is 706,242. If the distribution is normal and the standard deviation is 5
Karolina [17]

a. The probability that on a randomly selected day, the jail population

is greater than 750,000 is 20.1%

b. The probability that on a randomly selected day, the jail population is

between 600,000 and 700,000 is 43.2%

Step-by-step explanation:

The given is:

1. The average daily jail population in the United States is 706,242

2. The distribution is normal and the standard deviation is 52,145

3. We need to find the probability that on a randomly selected day,

    the jail population is greater than 750,000

4. We need to find the probability that on a randomly selected day,

    the jail population is between 600,000 and 700,000

a.

At first find z-score

∵ z = (x - μ)/σ, where x is the score, μ is the mean and σ is the standard

   deviation

∵  x = 750,000 , μ = 706,242 and σ = 52,145

∴ z = \frac{750,000-706,242}{52,145} ≅ 0.84

Use the normal distribution table of z to find the area to the right of

the z-value

∵ The corresponding area to z-score of 0.84 is 0.79955

- But we are interested in x > 750,000, we need the area to the

  right of z-score

∴ P(x > 750,000) = 1 - 0.79955 = 0.2005

∴ P(x > 750,000) = 0.2005 × 100% = 20.1%

The probability that on a randomly selected day, the jail population is

greater than 750,000 is 20.1%

b.

We will find z-score for 600,000 < x < 700,000

∵ z = \frac{600,000-706,242}{52,145} ≅ -2.04

∵ z = \frac{700,000-706,242}{52,145} ≅ -0.12

Use the normal distribution table of z to find the area between

the two z-values

∵ The corresponding area to z-score of -2.04 is 0.02068

∵ The corresponding area to z-score of -0.12 is 0.45224

- To find P(600,000 < x < 700,000) subtract the two values above

∴ P(600,000 < x < 700,000) = 0.45224 - 0.02068 = 0.4316

∴ P(600,000 < x < 700,000) = 0.4316 × 100% = 43.2%

The probability that on a randomly selected day, the jail population is

between 600,000 and 700,000 is 43.2%

Learn more:

You can learn more about z-score in brainly.com/question/7207785

#LearnwithBrainly

5 0
3 years ago
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Alenkinab [10]
24? I am not entirely sure but I think a4=24

Reason: if a1 equals 6 then I would like to think you would multiply 6 by 4 to get the value of a4 (I haven’t done this type of math in a while)
3 0
2 years ago
The coordinates of the vertices of a polygon ABCD are shown on the graph below.
bazaltina [42]

Step-by-step explanation:

c

5 0
2 years ago
Read 2 more answers
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