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WARRIOR [948]
3 years ago
8

Find the indicated values, where

Mathematics
2 answers:
nataly862011 [7]3 years ago
4 0

For this case we have, that given two functions f (x) and g (x), then:

The composite function of f with g is: (gof) (x) = g [f (x)]

The function composed of g with f is: (fog) (x) = f [g (x)]

In this case we have:

f (x) = 1 + x\\g (t) = t ^ 2-1

First we solve g (1):

g (1) = 1 ^ 2-1 = 0

Now:

2 * g (1) = 2 * 0 = 0

Then we have left:

f (0) = 1 + 0 = 1

So, we have to:

f (2g (1)) = 1

Answer:

Option A

jonny [76]3 years ago
3 0

A.

Firstly, you should deal with the inner function.

1^2 - 1 = 0

And

2 x 0 = 0

So 2g(1) = 0

Applying the outer function:

0 + 1 = 1

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The volume of a cone is 3rx? cubic units and its height is x units. Which expression represents the radius of the cone's base, i
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Answer:

It is given that the volume of a cone = 3\pi x^3 cubic units

Volume of cone with radius 'r' and height 'h' = \frac{1}{3}\pi r^2h

Equating the given volumes, we get

3\pi x^3=\frac{1}{3}\pi r^2h

r^2h=3 × 3x^3

r^2h=9 x^3

It is given that the height is 'x' units.

Therefore, r^2x=9x^3

r^2=9x^2

Therefore, r=3 x

So, the expression '3 x' represents the radius of the cone's base in units.

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2 years ago
This one is a doozy for me, need help please
Maksim231197 [3]

Answer:

The correct answer is B

Step-by-step explanation:

Kinda complicated to explain, if you need me to then comment and I'll do it

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A garden center is running a special on houseplants. A selection of any 2 plants cost $7. If a designer buys 22 plants for new h
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Answer:

77

Step-by-step explanation:

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2 years ago
Jorge wants to be more generous and share his money with people in need. He decided that the first $10 he makes, he will give to
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Answer:

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3 years ago
The average maximum monthly temperature in Campinas, Brazil is 29.9 degrees Celsius. The standard deviation in maximum monthly t
velikii [3]

Answer:

3.84% of months would have a maximum temperature of 34 degrees or higher

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 29.9, \sigma = 2.31

What percentage of months would have a maximum temperature of 34 degrees or higher?

This is 1 subtracted by the pvalue of Z when X = 34. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{34 - 29.9}{2.31}

Z = 1.77

Z = 1.77 has a pvalue of 0.9616

1 - 0.9616 = 0.0384

3.84% of months would have a maximum temperature of 34 degrees or higher

8 0
3 years ago
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