A cylinder has a radius of 12 m and a height of 9 m.

What is the exact volume of the cylinder?


A. 108π m³

B. 216π m³

C. 972π m³

D. 1296π m³

Final answer:

The scale factor for the scale drawing of a car with a scale of 1 inch : 3 feet is 1:36, or the fraction 1/36.

Explanation:

The student has a scale drawing of a car with a scale of 1 inch : 3 feet. To find the scale factor for this drawing, you need to convert feet into inches since the scale is given in inches to feet. There are 12 inches in a foot, so 3 feet is the same as 36 inches. Therefore, the scale for the car drawing is 1 inch on the drawing for every 36 inches of the actual car.

The scale factor is the ratio of the dimension in the drawing to the actual dimension of the object. In this case, the scale factor is 1:36, which can be written as the fraction 1/36. This means that every inch on the scale drawing represents 36 inches on the actual car.

Yes the answer is B

The translated function is f(x) = (x - 1)² + 5.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

The vertex of the original function = (0, 0)

The vertex of the translated function = (-1, 5)

Now,

f(x) → f(x + a) represents a horizontal translation of f(x)

If a > 0 then a shift to the right of a units

If a < 0 then a shift to the left of a units

Vertex = (-1, 5)

This means the translated graph has been shifted to 1 unit left.

So,

f(x) = (x - 1)²

Now,

f(x) → f(x) + c represents a vertical translation of f(x)

If c > 0 then a shift up of c units

If c < 0 then a shift down of c units

Vertex = (-1, 5)

This means,

The translated graph has been shifted 5 units up.

So,

f(x) = (x - 1)² + 5

Thus,

The translated function is

f(x) = (x - 1)² + 5

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Answer:

61 sales.

Step-by-step explanation:

Let x represent present sales.

We have been given that you need to increase your sales by 35% this month. You are currently at 45 sales.

To find the number of sales to meet the goal, we will find 35% of 45 and add to 45 as:

[tex]\text{The number of sales to meet the goal}=45+\frac{35}{100}*45[/tex]

[tex]\text{The number of sales to meet the goal}=45+0.35*45[/tex]

[tex]\text{The number of sales to meet the goal}=45+15.75[/tex]

[tex]\text{The number of sales to meet the goal}=60.75[/tex]

[tex]\text{The number of sales to meet the goal}\approx 61[/tex]

Therefore, you need to make 61 sales to meet you goal.

Answer:

Four songs

Step-by-step explanation:

1. Change into y-intercept form.

y = 3.25/1x + 18

y = 2.00/1x + 23

2. Graph them!!

the outcome is ( 4, 31 )

So 4 songs for $31.00

Answer:

35(2) - 1/2(15)

Step-by-step explanation:

35(2) + [-1/2(15)] -----> 35(2) - 1/2(15)

take away the unnecessary extra brackets and replace the plus with a minus sign

hope this helps :)

Another way to write Brett’s total number of points on the test is 35(2) - 1/2(15).

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Brett took a test in which 2 points were earned for each correct response and -1/2 point was earned for each incorrect response.

From the data given in the question:

= 35(2) - 1/2(15)

= 35(2) + [-1/2(15)]

Another way to write Brett’s total number of points on the test:

= 35(2) - 1/2(15)

Thus, another way to write Brett’s total number of points on the test is 35(2) - 1/2(15).

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Final answer:

To solve the inequality 0 is greater than or equal to 7n, divide both sides by 7 to get n ≤ 0. This implies n can be any number less than or equal to zero.

Explanation:

The question asks us to solve the inequality 0 is greater than or equal to 7n. This involves understanding inequalities and basic algebraic manipulation. To solve for n, we divide both sides of the inequality by 7, keeping in mind the rules regarding dividing by a positive or negative number. Since 7 is positive, the direction of the inequality remains the same. Thus, we get n ≤ 0.

This means that n can be any number less than or equal to zero for the inequality to be true. It's an important fundamental of algebra that assists in understanding how to work with inequalities and solve them correctly.

The most reasonable prediction of the number of seventh grade students in her school who would choose summer as their favorite season is 75.

To predict the number of seventh-grade students in Laticia's school who would choose summer as their favorite season, we can use the fact that she surveyed 25% of the seventh-grade students and found that 51 of them chose summer.

First, we need to find out how many seventh-grade students there are in total. Since Laticia surveyed 25%, we can set up a proportion:

[tex]\[\frac{51}{25\%} = \frac{x}{100\%}\][/tex]

Solving for x, the total number of seventh-grade students, we get:

[tex]\[x = \frac{51 \times 100\%}{25\%} = 204\][/tex]

Now, since 51 students chose summer as their favorite season out of 204 seventh-grade students, to find out how many students might choose summer if all seventh-grade students were surveyed, we can set up another proportion:

[tex]\[\frac{51}{204} = \frac{y}{100\%}\][/tex]

Solving for y, the number of students who might choose summer if all seventh-grade students were surveyed:

[tex]\[y = \frac{51 \times 100\%}{204} = 25\%\][/tex]

This comes out to (y = 51), which means if all seventh-grade students were surveyed, we could reasonably predict that 51 of them would choose summer as their favorite season. Therefore, option B) 75 is the most reasonable prediction.

Answer:9

Step-by-step explanation:

Answer:

A) 5

B) 200

C) 25.5

D) 14/3

E) 77 1/2

Step-by-step explanation:

We have been given a function [tex]f(x)=10.25x[/tex], where, [tex]f(x)[/tex] represents the amount of money earned after x hours.

We are asked to choose the elements of the domain of the function.

Since the x represents time in hours, so negative numbers wouldn't be domain of the given function. as times cannot be negative.

Therefore, options A, B, C ,D and E are correct choices.

Answer:

The first 5 is the right answer

Step-by-step explanation:

Answer:

  √25

Step-by-step explanation:

  √25 = √(5²) = 5 . . . . a rational number

The other roots are not the roots of perfect squares, so are irrational.

Answer:

8x - 5y = 11---->8x - 5y = 11

4x - 3y = 5---->-8x + 6y = -10

-------------------

y = 1, x = 2

{(2, 1)}

Answer:$18.84. I hope this helps. Have a great day!♡

Step-by-step explanation:

Final answer:

Different pairs of numbers can add up to 24.

Explanation:

The sum of two numbers that equals 24 depends on the specific values of the two numbers. However, here are a few examples:

12 + 12 = 24

20 + 4 = 24

15 + 9 = 24

These examples show that different pairs of numbers can add up to 24. The sum can be found by adding the two numbers together.

Answer:

The standard form of the given number is [tex]8.73\times 10^{16}[/tex].

Step-by-step explanation:

Standard form of a number is a easy ways to write very small numbers and very large numbers.

In the standard form the number is written as the number lies between 1 to 10 and multiple of power of 10.

The given number is

[tex]8.73e16[/tex]

It can be written as

[tex]8.73e16=87300000000000000[/tex]

[tex]8.73e16=8.73\times 10^{16}[/tex]

Therefore the standard form of the given number is [tex]8.73\times 10^{16}[/tex].

your answer will be 2 hours and 10 minutes

mark brainliest

Answer:

2 10

Step-by-step explanation:

210

Final answer:

To calculate i^3, we use the powers of i, where i = √-1. We find that i² = -1, and thus i³ = i² × i = -1 × i = -i.

Explanation:

The value of i to the power of 3, denoted as i3, can be determined by understanding the fundamental properties of the imaginary unit i, where i is defined as i = √-1. To find i3, we start by considering the powers of i:

i1 = i,

i2 = -1,

i3 = i2 × i = -1 × i = -i,

i4 = (i2)2 = (-1)2 = 1.

Therefore, the value of i3 is -i.