Rewrite each geometry formula using function notation. Use the same variables as the formula in your function. Evaluate each function when r=5 feet. Do not round; write answers in terms of pi, if necessary. Explain the meaning of the result.

a. Diameter, d=2r
The formula using function notation is _______; The value when r=5 is _______; The diameter of the circle is ______ feet when the radius is ________ feet.

b. Area, A=pi x r^2
The formula using function notation is _______; The value when r=5 is _______; The area of the circle is ______ feet when the radius is ________ feet.

c. Circumference C=2 x pi r

The formula using function notation is _______; The value when r=5 is _______; The Circumference of the circle is ______ feet when the radius is ________ feet.

Answers

Answer 1

Answer:

A) d(r) = 2r

Value when r = 5 is 10 ft.

diameter is 10 ft when the radius is 5ft

B) A(r) = πr²

Value when r = 5 is 25π ft²

Area is 25π ft² when radius is 5 feet

C) C(r) = 2πr

Value when r = 5 is 10π

Circumference is 10π when radius is 5 feet

Step-by-step explanation:

A) Using function notation, since d = 2r

d(r) = 2r

d(5) = 2(5)

d(5) = 10 feet

This means that the diameter is 10 ft when the radius is 5ft

B) Area = πr²

In function notation, its;

A(r) = πr²

When radius is 5 feet,

Area is; A(5) = π(5²) = 25π

It means Area is 25π ft² when radius is 5 feet

C) Circumference is 2πr

In function notation, it's;

C(r) = 2πr

When r = 5 feet,

Circumference is;

C(5) = 2π(5)

C(5) = 10π


Related Questions

2(9 + 4x) + 6(2 - x) = 7x. i need help asap pleasee

Answers

Step-by-step explanation:

18 + 8x + 12 - 6x = 7x

30 + 2x = 7x

30 = 7x - 2x

30 = 5x

Divide both sides by 5

X = 6

3) There are 32 students in a class . Twenty four of those students are women . What percent are men ?

Answers

Answer:

like this so i can get points ye boi

Step-by-step explanation:

What is the perpendicular slope of the given equation. y=4x-2

Answers

rise-4

run-1
(up 4 over 1)

plz and thank you. for class

Answers

Answer:

[tex] {20}^{2} + {x}^{2} = {22}^{2} \\ 400 + {x}^{2} = 484 \\ {x}^{2} = 84 \\ x = 9.17[/tex]

30-9,17=20.83

Answer:

20.83

Step-by-step explanation:

What is the percent of 40 of 230

Answers

Answer:

17.39

Step-by-step explanation:

40:230*100 =

( 40*100):230 =

4000:230 = 17.39

Answer:

20 % would be ur answer to ur question

Which equation best represents the function?
O f() = 4x - 55
O f(x) = 4.1 – 15
O f() = 20x – 55
O f(x) = 20x - 15

Answers

f(x)=4.1-15 is the right answer !!

Help me plss.........

Answers

Answer:

50

Step-by-step explanation:

because <TMS is a right angle 90 degrees and also it is congruent with <TMR

so 90 - 40 = 50 that is the correct answer.

Hope this helped!!

2x^2 - 17x + 30
Factor

Answers

Answer:

(2x−5)(x−6)

Step-by-step explanation:

2x^2-12x-5x+30

2x(x-6)-5(x-6)

(2x-5)(x-6)

2x^2-17x+30 should be correct

question is in the image but can you type out the answer :)

Answers

Answer:

H

Step-by-step explanation:

I searched it up :)

Answer:

H. {52, 72, 86, 105}

Step-by-step explanation:

Given 4 ordered pairs

The question asks for domain

The domain is the x-value of each ordered pair, and usually it is listed from least to greatest (increasing order)

Take out all of the x-values of the ordered pair 52,72,86,105

Notice that above is already in increasing order, so no further action is needed.

The domain for the situation is {52, 72, 86, 105}

The guotient of z and 10 increased by 32.
(Algebraic expression)

Answers

Answer:

z/10 + 32

Step-by-step explanation:

What is the value of the expression g. (G+1)2 for g = 2?

Answers

Answer: 6

Step-by-step explanation: Step 1:(G+1)2 Step 2 : (2+1)2 Step 3: (3)2 Step 4: 6

Hope This helps!

Evaluate. Write your answer as a fraction in simplest form.

(-2/3)^{2}−3/4(2 1/3)

Answers

Answer:

-47

____

36

Step-by-step explanation:

The scale on the map is 1 centimeter is equal to 25 kilometers. On the map, the distance the towns along the highway is 4.5 centimeters. Tori's car uses 0.123 liter of gasoline for each kilometer of highway driving. How many liters of gasoline to the nearest liter will Tori need to drive from one of these town to the other?

Answers

Answer: About 14 liters of gasoline is required.

Step-by-step explanation:

On the map,

1 centimeter= 25 kilometers.

Distance the towns along the highway is 4.5 centimeters.

Actual distance = 4.5 x 25 km

= 112.5 km

Tori's car uses 0.123 liter of gasoline for each kilometer of highway driving.

Total gasoline required = 0.123  x  112.5 km

= 13.8375 liters≈ 14 liters

hence, about 14 liters of gasoline is required.

what is the product of (-0.9)(-2.4)?

0. -3.3
0. -2.16
0. 2.16
0. 3.3​

Answers

2.16 because if you use your calculator

Answer:

2.16

Step-by-step explanation:

-9*-24 is 216

move two decimals to the left

2.16 (it is positive because there are 2 negatives)

evaluate 36÷6x2+9 whats the answer​

Answers

21 fffffffffffff ghgghhhh

Answer:

21

BIDMAS

36 divided by 6 = 6

multiply by 2

add 9

What is the slope of a line that passes through the points (-3, 1) and (-1, 5)?

Answers

Answer: 2

Step-by-step explanation:

y2 -y1 over x2 - x1

Answer:

I'd like brainliest :)

Step-by-step explanation:

Convert 23 miles to feet. (1 mile -= 5280 feet)

Answers

Answer:

121, 440 ft

Step-by-step explanation:

5280*23= 121, 440 ft

I WILL GIVE BRAINLIEST
5.
Find the distance between the given points.
A = (2,0) and B = (0,9)
Answer:

Answers

Answer:

9.219544457 you might have to round

6 2/3 divided by 1/5

Answers

Answer:

[tex]\frac{100}{3}[/tex]

Step-by-step explanation:

[tex]6\frac{2}{3}[/tex] ÷ [tex]\frac{1}{5} = \frac{100}{3}[/tex]  

I hope this helps!

Margaret drank 1/6 of a 36oz. Bottle of soda. She gives the rest of the bottle to her friend Jamie who drinks 2/3 of the soda in the bottle. Jamie then gives the rest of the bottle to her friend Taylor. How much soda is left in the bottle when Taylor gets it? Group of answer choices

Answers

Answer:

The amount of soda that is left in the bottle when Taylor get it is 1/6 = 6 oz of soda.

Step-by-step explanation:

Let the total quantity of soda left in the bottle be represented by 1

Total quantity of the bottle = Fraction of what( Margaret + Jamie + Taylor) drank

Margaret drank = 1/6 of the soda

= 1 - 1/6

= 5/6 of soda is left

Jamie drank = 2/3 of what is left

= 5/6 - 2/3

LCM of denominators = 6

= 5 - 4/6

= 1/6

Hence, what is left is 1/6 of the soda.

The size of the soda = 36 oz

1/6 × 36oz

= 6 oz

This means the amount of soda that is left in the bottle when Taylor get it is 6 oz of soda.

Idk about this tbh :/ Plz help :)

Answers

Answer:correct

Step-by-step explanation:

I had the same question

The answer is D, y=-2 1/2

PLEASE HELP ASAP!
Let f(x)=x²-x-12 and g(x)= x -4.
What value can the expression (f/g)(x) never equal?

Answers

Answer:

7

Step-by-step explanation:

This function can never equal 0. Why? well here:

(f/g)(x) also just means [tex]\frac{f(x)}{g(x)}[/tex]. In this case, we get [tex]\frac{x^2-x-12}{x-4}[/tex] Or [tex]\frac{(x+3)(x-4)}{x-4}[/tex]. It seems like you can cancel out x-4 and bam, you get x+3 and any value should work.

However, x can never equal 4 because 4 leads to a case where you divide by 0. This is called discontinuity. Thus, the value you can't get is x=4, or 7 because when you plug 4 in, you get 0/0. Otherwise, any other real value is defined by x+3.

Select the correct values in the table.

A journalist is assigned to write a story that is 1,200 words long. To fit in the publications available space, the story's length can vary by no more than 75 words.

which word counts would be accepted by the journalist's publication?

1,100 1,125 1,290 1,260 1,300​

Answers

So if it can vary by 75 or less, the least it can be is 1,125 and the greatest it can be is 1275.
Therefore it must be between or equal to these two.

The answers are:
1,125
And
1,260

The word count that can be accepted by the journalist's publication is  1,260.

Given,

A journalist is assigned to write a story that is 1,200 words long.

To fit in the publication's available space, the story's length can vary by no more than 75 words.

We need to find which word counts would be accepted by the journalist's publication.

1,100, 1,125, 1,290, 1,260, 1,300​

Find the number of words the publication accepts.

We have,

1,200 words long.

The story's length can vary by no more than 75 words.

So,

1,200 + 75 = 1,275 words

The words can vary from 1,200 to 1,275 words.

Find the option which can be accepted.

1,100 - can not be accepted

1,125 - can not be accepted

1,290 - can not be accepted

1,260 - can be accepted

1,300​ - can not be accepted

Thus the word count that can be accepted by the journalist's publication is  1,260.

Learn more about finding the standard deviation of words per page here:

https://brainly.com/question/13828931

#SPJ6

simplify the expression
–4(5x)

Answers

Answer:

-20x

Step-by-step explanation:

the number outside of the parenthasis must be distributed to all numbers with in them.

ex:

-3(2x + 5) = -6x -15

13. A bag contains 8 balls of which 2 are red and 6 are white. A ball is selected and not replaced. A
second ball is selected. Find the probability of
obtaining:

(a) two red balls,
(b) two white balls,
(d) one ball of each colour.​

Need explanation
pls help
will give the brainliest!

Answers

Answer:

The second ball would most likely be red and there are 5 red balls in the bag. And if you replaced the ball it would most likely be the same ball

Step-by-step explanation:

PLEASE HELP ASAP!Reasoning The numbers 1.333... and 1.444... are both rational numbers. Which of the following is
an irrational number that is between these two rational numbers? Use pencil and paper. Show why
there has to be an irrational number between any two rational numbers.
2.334333... 1.443444... 1.334 1.334333...
Which of the following is an irrational number that is between the two rational numbers? Select all that
apply.
A. 2.334333...
B. 1.334333...
C. 1.443444...
D. 1.334

Answers

Answer:

abc because they are always a repeating decimal

-11x - 7y = -56, solve for y (must be in form y = mx + b)

Answers

Answer:

y= -11/7x+8

move variables to the right hand side and change its sign

-7y=-56+11x

change the signs on both sides of the equation

7y=56-11x

divide both sides by 7

y=8-11/7 x

reorder the terms and get y= -11/7x+8

Find the area of each triangle. Round values to the nearest tenth. Show your math thinking.

Answers

7 x 7 = 49. 49/2 = 24.5
The area is 24.5 units squared.

A weather balloon is launched in Texas from an altitude of 240 feet above sea level. If the balloon rises at a constant rate of 65 feet per
minute, which of the following equations could be used to find t, the time in minutes it will take the balloon to reach an altitude of 11,000
feet?
O A. 11,000 = 240t + 65
OB. 11,000 = 240 + 65t
O C. 11,000 = (040 + 65)
D. 11,000 = 65(t + 240)

Answers

Answer:

jdufzfdghfufuf I am girl Ibvggu u I am girl this is my first time doing this is my first time doing this is my first time doing this

Answer:

b I think.

Step-by-step explanation:

I chose the answer b because it goes up 65 feet per minute.

Solve for a.

a+0.3=−2

Answers

Answer:

a = −2.3

Step-by-step explanation:

Move all terms not containing  a  to the right side of the equation.

Answer:

a = -2.3

Step-by-step explanation:

move 0.3 onto the other side so it becomes -0.3now it is : a = -2 - 0.3(-2 - 0.3) is just -2.3a = -2.3
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