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2 years ago

13

If f(x) = -x + 4 and g(x) = x2 - 5, then f(g(-2)) = ?

1 answer:

schepotkina [342]2 years ago

6 0

Answer:

f(g(- 2)) = 5

Step-by-step explanation:

Evaluate g(- 2) then use this result to evaluate f(x)

g(- 2) = (- 2)² - 5 = 4 - 5 = - 1, then

f(- 1) = - (- 1) + 4 = 1 + 4 = 5

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1 & 2) what are the surface areas? please explain.

mote1985 [20]

To find the surface area of a cylinder, use the formula SA = 2(pi)(radius^2) + 2(pi)(radius)(height).

So now, plug in what you know.

SA = 2(3.14)(5^2) + 2(3.14)(5)(9)
SA = (6.28)(25) + (6.28)(45)
SA = 157 + 282.6
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439.6 square cm is your surface area

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3 years ago

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3 years ago

Ella is a landscape photographer. One weekend at her art gallery she sells a total of 52 prints for a total of $2,975. How many

abruzzese [7]

Answer:

Ella sold the each print for the cost of $57.21.

Step-by-step explanation:

The total number of prints sold at gallery = 52

Total amount it is sold for = $2,975

Noe, If 52 prints are sold for $2,975.

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$= \frac{2,975}{52} = 57.21$

or, Cost of 1 print = $57.21

So, Ella sold the each print for the cost of $57.21.

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3 years ago

The first four terms of a sequence are shown below. 6, 2, -2, -6 Which of the following functions best defines this sequence?

klasskru [66]

Where are the functions?
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3 years ago

A consumer affairs investigator records the repair cost for 4 randomly selected washers. A sample mean of $64.26 and standard de

Mashutka [201]

Answer:

Critical value: z = 1.28

The 80% confidence interval for the mean repair cost for the washers is between $46.487 and $82.033.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.80}{2} = 0.10$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$

So it is z with a pvalue of 1-0.1 = 0.9, so z = 1.28

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

So

$M = 1.28*\frac{27.77}{\sqrt{4}} = 17.773$

The lower end of the interval is the mean subtracted by M. So 64.26 - 17.773 = $46.487.

The upper end of the interval is M added to the mean. So 64.26 + 17.773 = $82.033.

The 80% confidence interval for the mean repair cost for the washers is between $46.487 and $82.033.

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2 years ago