Let f(x) = 9x − 2 and g(x) = −x + 3. Find f(g(x)).

Answers

Answer 1
Answer: f(x) = 9x - 2
g(x) = -x + 3

f(g(x)) = 9(-x + 3) - 2
f(g(x)) = 9(-x) + 9(3) - 2
f(g(x)) = -9x + 27 - 2
f(g(x)) = -9x + 25
Answer 2
Answer: f(g(x))=9(-x+3)-2
So: f(g(x)=-9x+27-2=-9x+25

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A cylindrical swimming pool has a diameter of 18 feet and a height of 4 feet. About how many liters of water are needed to fill the swimming pool 85% of its total volume? Round your answer to the nearest whole number. (1 ft³ ≈ 28.3 L) To the nearest whole number of liters.

Answers

Final answer:

To fill a cylindrical swimming pool with a diameter of 18 feet and a height of 4 feet 85% full, you'll need approximately 24462 liters of water.

Explanation:

To determine how many liters of water are needed to fill the swimming pool to 85% of its total volume, we first need to calculate the total volume of the cylindrical pool. The formula to calculate the volume of a cylinder is V=πr²h were r is the radius (half of the diameter) and h is the height. Therefore, the pool's total volume in cubic feet is V=π*9²*4 ≈ 1018 ft³. However, the student only wants to fill the swimming pool up to 85%, so we multiply this total volume by 0.85 to get approximately 865 ft³.

Since 1 ft³ ≈ 28.3 L, we can calculate the needed volume in liters by multiplying the 865 ft³ by 28.3 to obtain approximately 24462 liters of water. Round to the nearest whole number, so about 24462 liters of water are needed to fill the swimming pool es up to 85% of its volume.

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(Sorry I’m dumb)The day they got home, the thermometer at Janelle's house read -4°F. What does this temperature mean compared with 0°F?

Answers

Answer:

It is 4 degrees less than 0

Step-by-step explanation:

The - means less so you just subtract

If this is not the correct answer I will be baffled

Why are cubes and spheres called solid figures?

Answers

They are called solid figures, because they are both 3 dimensional. Squares and circles are only 2 dimensional so, that's why.
I hope this helps! :)
because the both have volume, therefore they are solid

A couple just had twin boys, but they can’t decide between the names Mike, Mark, Peter, Paul, Sam, and Sonny. If the couple randomly chooses names for the 2 boys from the names listed, what is the probability that the first boy born will be named Sam and the second boy born will be named Mark? Assume that the boys will not have the same name.

Answers

Answer:

The probability is 1/30 or 0.0333

Step-by-step explanation:

For calculating the probability we need to make a division between the number of ways in which the first boy born is named Sam and the second boy born is named Mark and the total number of ways in which the couple can name their children.

To calculate the total number of  ways in which the couple can name their children, we can use the rule of multiplication as:

         6             *              5                   =    30          

First boy Born       2nd Boy Born

Because we have 6 options for the name of the first boy and 5 options for the name of the second boy.

Additionally, In just one option from this 30, the first boy is named Sam and the second is named Mark.

So, the probability is calculate as the division between 1 and 30 as:

P=(1)/(30) = 0.0333

Final answer:

The probability that the first boy born will be named Sam and the second boy born will be named Mark is 1/15.

Explanation:

To find the probability that the first boy born will be named Sam and the second boy born will be named Mark, we need to determine the total number of possible outcomes and the number of favorable outcomes.

There are a total of 6 names to choose from and the couple needs to choose 2 names without repetition. So, the total number of possible outcomes is given by the combination formula C(6,2) which evaluates to 15.

Out of these 15 possible outcomes, there is only 1 favorable outcome where the first boy is named Sam and the second boy is named Mark.

Therefore, the probability that the first boy born will be named Sam and the second boy born will be named Mark is 1/15.

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Which expression is equal to (1.5)3? Select all that apply. A. 5.0625 B. 3.375 C. 4.5 D. 2.25 × 1.5 E. 2.5 × 1.25

Answers

The expression is equivalent to 3.375 and 2.25 × 1.5.

We have to determine

Which expression is equal to (1.5)^3?

The expression is equivalent to;

= (1.5)^3\n\n= 1.5 * 1.5 * 1.5\n\n= 3.375

Therefore,

The expression is equivalent to;

= 2.25 * 1.5\n\n= 3.375

Hence, the expression is equivalent to 3.375 and 2.25 × 1.5.

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Answer:

its B and D

Step-by-step explanation:

cause 1.5 times 1.5 times 1.5 is 3.375 which is (1.5)  and the explanation for D is that 2.5 times 1.25 Is 3.375 which is (1.5) Hope i helped:)

Which pair of angles is complementary

Answers

The complementary angles are angles that add up to 90°.

It is required to find the pair of angles is complementary.

What is angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Solution:

When the sum of two angles is equal to 90° degrees, they are called complementary angles. For example, 30° and 60° ,45° and 45° ,80° and 10°  are complementary angles.

Therefore, the complementary angles are angles that add up to 90°.

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Answer:

last graph

Step-by-step explanation:

on ed 2020