The radius of a circular pond is increasing at a constant rate, which can be modeled by the function , where t is time in months. The area of the pond is modeled by the function . The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.

Answers

Answer 1

Answer:

B. A(r(t)) = 25πt²

Step-by-step explanation:

Find the completed question below

The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.

Given

A(t) = πr²

r(t) = 5t

We are to evaluate the composite expression A(r(t))

A(r(t)) = A(5t)

To get A(5t), we will replace r in A(t) with 5t and simplify as shown

A(5t) = π(5t)²

A(5t) = π(25t²)

A(5t) = 25πt²

A(r(t)) = 25πt²

Hence the composite expression A(r(t)) is 25πt²

Option B is correct.

Answer 2

Answer:

Step-by-step explanation:

B . Correct


Related Questions

in the adjoining figure ABCD is a rhombus in which angle BAC is equal to 40 degree find angle ACB and angle abc and angle ADC and angle ACD and angle C A D​

Answers

Answer:

Step-by-step explanation:

Opposite angles of a rhombus are congruent, and adjacent angles of a rhombus are supplementary.

I need help ASAP

Steve said that [5, 12) is the interval notation that represents the set of all real numbers greater than or equal to 5 and less than 12. Joe says that (5, 12] is correct interval notation. Who is correct and justify why?

Answers

Answer:

Steve was correct in his statement.

Step-by-step explanation:

According to standard notation, opening bracket ( [tex][[/tex] ) represents the lower bound of a set so that elements of the set are equal or greater than lower bound. In addition, closure parenthesis ( [tex])[/tex] ) represents the upper bound of a set so that element of the set are less than upper bound.

In consequence, Steve was correct in his statement.

36.54 divide by 6.3

with solution please thank you so much!

Answers

Answer:

5.8

i am using calculator

Answer:

5.8

Step-by-step explanation:

36.54 ÷ 6.3 = 5.8

5.8

Helpppp ASAPS i need your help i give brainlist to the correct answer​​ only the question 2 and 3​

Answers

Answer:

1. 9

2. 25

3. No (Explanation below)

Step-by-step explanation:

1. Original PT Formula is c=√a²+b²

BUT you're looking for the leg so you now have the formula of a=c²-b² *c being the hypotenuse

a= √ 15² - 12²

a= √ 225 - 144

a= √81

a= 9

2. 16 + 9 = 25

* you're not looking for an angle therefore you are most likely looking for the length of the side. Simply add the AD and DC together to get the answer. If you were looking for an angle it'll be 180°.

3. NO because a right angle is an angle of exactly 90°, whether it be at a corner of a square/rectangle, a triangle, or where two perpendicular lines intersect. Angle ABC is an obtuse angle as it measures more than 90°

You are the purchasing manager at a bakery. You need
to purchase flour and are considering two options.
Approximately how much do you save per pound by
choosing the less expensive option?
Option A: One 50-lb bag costs $21.24. You need to
purchase five bags, which adds $47.84 for shipping.
Option B: One 60-lb bag costs $22.89. You need to
purchase four bags, which adds $41.22.for shipping.
0 $0.04
0 $0.06
$0.10
$0.87
$1.65

Answers

Answer:

I got 0.87

If I got it wrong pls tell me the correct answer

HELP ME PLSSSSSSSSSSSS

Answers

3x + 2x = 180
5x = 180
180 divided by 5 = 36
X = 36 degrees

Helen buys 2 pineapples. She pays with a £5 note and gets £3.60 change. Work the cost of one pineapple.

Answers

2pineapples=1.40
To work that out you do 5-3.60= the cost of 2
To work 1 out you divide by 2 so
1.40 divided by 2 = 70p

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The cost of one pineapple is £0.7.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of pineapples = 2

Amount given = £5

Amount returned = £3.60

The cost of the two pineapples.

= 5 - 3.60

= £1.40

The cost of one pineapple.

= 1.40/2

= 140/200

= 14/20

= £0.7

Thus,

The cost of one pineapple is £0.7.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

15% of y is 30 what equation could be used to solve

Answers

Answer:

Y= 200

Step-by-step explanation:

Just divide 30 by 0.15

Hope that helps!

Answer: y = 30/0.15

Step-by-step explanation:

First, convert 15% to a decimal by dividing by 100 to get 0.15. The word "of" in an equation means multiply, so the equation would be y*0.15 = 30. To isolate the variable you're trying to solve for, divide both sides by 0.15. The 0.15 on the left side of the equation cancels out, leaving you with a final equation of y = 30/0.15.

Which of the data sets shown below has a mean that is less than 28? Select all that apply.
A) 24, 31, 25, 29, 26, 21
B) 18, 33, 32, 16, 34, 29
C) 32, 31, 25, 28, 31, 27
D) 12, 41, 44, 13, 20

Answers

Answer:

The answer is 51,22,28,38,41

33,37,41,44,35, and

27,36,52,51,29

Step-by-step explanation:

Please help. Will mark brainliest!

Answers

Answer:

A

Step-by-step explanation:

(100 points;)The area of a right triangle is 39.6 in², and the base of the triangle is 12 inches.
Which of the following values is the height of the triangle?
303 in.
1.65 in.
6.6 in.
6.1 in.

Answers

The answer is 6.6 inches

AREA OF TRIANGLE = 1/2 X BASE X HEIGHT

=> 39.6=12XH/2

=> 39.6X2=12XH

=> 79.2 = 12XH

=> 79.2/12= H

=> 6.6

Solution:

Given:

Area of right triangle = 39.6 in²Base of triangle = 12 in

Area of triangle formula: 1/2 x Base x Altitude

Substitute the area and the base:

1/2 x Base x Altitude = Area of right triangle1/2 x 12 x Altitude = 39.6 in²

Simplify the LHS:

1/2 x 12 x Altitude = 39.6 in² 6 x Altitude = 39.6 in²

Divide 6 both sides:

(6 x Altitude)/6 = 39.6/6Altitude = 6.6 in.

simplify this expression

8x-3y+3x-2y

Answers

Hey there!

In order to simplify this expression, we need to combine like terms.

Remember, like terms are terms from the same "family". not terms that you like. :)

So, the like terms here are

8x, 3x

and

-3y and -2y

Combine them:

8x-3x-3y-2y

Hence, the answer is

[tex]\boxed{\boxed{\bold{5x-5y}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if you do, please comment.

#LearningIsAlwaysFun

#KeepLearning

[tex]\rule{200}{2}[/tex]

Sally, Emma and James have a total of 52 nerf toys. If James had 6 more, then he would have as many as both girls combined. Emma has three more toys than Sally. How many nerf toys do each of the three have.

(Please answer quickly it's due tomorrow morning)

Answers

Answer:

emma: 6 toys, sally: 13 toys, james: 23 toys

Step-by-step explanation:

if emma had x toys, sally would have (x-3) toys. and we know that if james had 6 more toys, he would have the same amount as both girls combined. so in this case in terms of x, james would have (x+x-3-6) toys, after simplification we get 2x-9 toys..

since we know that the three of them have 52  nerf toys as total, we can set up the equation:

x= number of toys emma has

2x-9+x+x-3=52  

         4x-12=52

               x=16

emma has 16 toys, and sally has (16-3)=13 toys. finally, james has (2*16-9)=23 toys. 16+13+23=52

Hawaii’s Mauna Kea measures 9.754 kilometers from its base to its peak. Part of Mauna Kea lies 5.549 kilometers below the ocean. What is the height of the part of Mauna Kea that is above sea level?

a. 4.205 km
b. 4.025 km d. 3.991 km
c. 4.150 km
d. 3.991 km

Please select the best answer from the choices provided

Answers

Answer:

A 4.205Km

Step-by-step explanation:

If you subtract 9.754 - 5.549 you get  4.205.

I am not sure how to do this −(−2−5x)+(−2)=18

Answers

(2+5x)-2=18
2+5x-2=18
5x=18

x=18/5= 3.6
- (-2 - 5x) + [(-2) +2] = 18 + 2

- (-2 - 5x) = 20

- [(-2) +2] - 5x = 20 + 2

- (-5x) = 22

5x/5 = 22/5

x = 4.4

On the grid below,draw the graph of y=2x-2 for values of x from -2 to 3

Answers

Answer:

x −2  −1   0   1   2

y −6 −4  −2  0  2

The graph of y=2x-2 is given in attachment and slope of given line is 2.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given equation of the line is y=2x-2

We need to draw the graph of equation y=2x-2.

We need to find values of x and y to plot the graph.

If x=-2,

then y=-6

if x=-1

then y=-4

if x=0

then y=-2

if x=1

then y=0

if x=2

then y=2

if x=3

then y=4

Hence, the graph of y=2x-2 is given in attachment and slope of given line is 2.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Jalecia solved a linear equation. Her work is in the box.
2(3x - 3) = 18
6x - 6 = 18
6x = 24
Which property did Jalecia not use to solve the equation? *
(1 Point)
Addition Property of Equality
Distributive Property
Ο Ο Ο Ο
Division Property of Equality
Subtraction Property of Equality
12

Answers

Answer:

distributive property

Step-by-step explanation:

A or 2 in this case is used to multiple each factor within the parenthesis

then jus combine like terms and solve for x

Five students from the 90 students in your class not running for class
president will be selected to count the ballots for the vote for class
president. In how many ways can the 5 students be selected?
I

Answers

The answer is 7859
I did it and got it right.....

Edward is playing a game where he draws cards with integers on them from a deck of cards. If the integer is positive he moves forward that many steps, if the integer is negative he moves back that many steps. Edward drew the following cards: 3, -3, -4, 5, 10, -7.

Where does Edward end up in relation to where he started?

A) 4 steps behind where he started.
B) 4 steps in front of where he started.
C) 32 steps behind where he started.
D) 32 steps in front of where he started.

Answers

Answer:

B) 4 steps in front of where he started.

Step-by-step explanation:

Edward drew the following cards: 3, -3, -4, 5, 10, -7

He follows the steps:

3 -3 - 4 + 5 + 10 - 7 = 4

Positive 4 means 4 steps ahead

Correct option is B)

someone pls answer my question for history

Answers

Answer:

yes! what is your question?

Step-by-step explanation:

Answer:

Sure what's the question

Samuel is running a 3-mile race. He would like to finish the race in under 33 minutes. He has already run for 10. 5 minutes. Which inequality represents the situation? 10. 5 x Less-than-or-equal-to 33 10. 5 x < 33 10. 5 x Greater-than-or-equal-to 33 10. 5 x > 33.

Answers

The inequality represent the situtation is 10.5 + x < 33.

What is inequlaity?

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.

Given

Samuel is running a 3-mile race.

He would like to finish the race in under 33 minutes.

He has already run for 10.5 minutes.

Let, x be the number of the minutes left for the race.

The inequality represent the situtation is;

[tex]\rm Running \ time \ covered + Time \ remaining \ cover \ distance=Total\ distance\\\\10.5+x < 33[/tex]

Hence, the inequality represent the situtation is 10.5 + x < 33.

To know more about inequlaity click the link given below.

https://brainly.com/question/9404159

A family is planting grass and a garden in the backyard. The rectangular backyard measures 131 ft by 52 ft. The garden measures 13 ft by 9 ft. What is the area of the backyard that will be grass?

Answers

Step-by-step explanation:

Find the area of the whole backyard: 131 x 52 square feet

Find the area of the garden: 13 x 9 square feet

hope this helps :)

Answer:

13 times 9=117

131 times 52=6812

Step-by-step explanation:

maths x=139 times 95847576564 find x

please help me to solve these simple math

Answers

Answer:

A.−2h

B.7j

C.ah

It's real simple

Brainly please

What percentage of total hours was spent walking?

Answers

we know the 100% or total is 50 hours, and walking was only 10 hours.

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 50&100\\ 10&x \end{array}\implies \cfrac{50}{10}=\cfrac{100}{x}\implies 5=\cfrac{100}{x}\implies 5x=100 \\\\\\ x=\cfrac{100}{5}\implies x=20[/tex]

Students on the baseball team and in the French club were asked how many pets they have. The results are shown. Baseball Team: 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4 French Club: 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 6 Question What is the difference of the means of the two sets of data?

Answers

Answer:

9 I believe if I did this right

Step-by-step explanation:

0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4 (Add)

=24

0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 6 (Add)

=33

33-24= 9

The difference = 9        *Sorry if I'm wrong*

pls help; What is the length of side X in the triangle below?

Answers

Answer: 8

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is sqrt(2) times longer than the leg

Expand it please
(2/7z-3/5x)2

Answers

Answer:   [tex]\bold{\dfrac{4}{49}z^2-\dfrac{12}{35}xz+\dfrac{9}{25}x^2}[/tex]

Step-by-step explanation:

[tex]\bigg(\dfrac{2}{7}z-\dfrac{3}{5}x\bigg)\bigg(\dfrac{2}{7}z-\dfrac{3}{5}x\bigg)\\\\\\=\dfrac{2}{7}z\bigg(\dfrac{2}{7}z-\dfrac{3}{5}x\bigg)-\dfrac{3}{5}x\bigg(\dfrac{2}{7}z-\dfrac{3}{5}x\bigg)\\\\\\=\dfrac{4}{49}z^2-\dfrac{6}{35}xz-\dfrac{6}{35}xz+\dfrac{9}{25}x^2\\\\\\=\dfrac{4}{49}z^2-\dfrac{12}{35}xz+\dfrac{9}{25}x^2[/tex]


2. Given XYZ, if XY =YZ, and Y = 22,
find Z.

Answers

Answer:

79

Step-by-step explanation:

Sum of Triangle angles is 180

180 - 22 = 158

If the sides are the equal, the base angles are equal.

So, divide 158 by 2

79


3. Si multiplicamos el mismo número en ambos lados de la igualdad, la igualdad permanece.

1 Propiedad de multiplicación de la igualdad
2 Propiedad Reflexiva
3 Propiedad de la suma para la igualdad
Transitiva

Escoje^

Answers

Answer:

1

Step-by-step explanation:

What is the factored form of 2x3 + 4x2 – x?
2 x (x squared + 2 x + 1)
x (2 x squared + 4 x + 1)
2 x (x squared + 2 x minus 1)
x (2 x squared + 4 x minus 1)

Answers

Answer:

[tex] \bf \longrightarrow \: 2 {x}^{3} + 4 {x}^{2} + x[/tex]

Taking x common

[tex] \sf \longrightarrow \: x \bigg(2 {x}^{2} + 4x + 1 \bigg)[/tex]

Therefore,

Your answer is x ( 2x² + 4x + 1 )

Answer:

A. x (2x*2 + 4x + 1)

Step-by-step explanation:

Other Questions
what impact would we have on the world?BRAINILIEST The Coughlin Company retails two products: a standard and a deluxe version of a luggage carrier. The budgeted income statement for next period is as follows: Standard Carrier Deluxe carrier TotalUnits sold 187,500 62,500 250,000Revenues at $28 and $50 per unit 5250000 3125000 8375000Variable costs at $18 and $3 per unit 3375000 1875000 5250000Contribution margins at $10 and $20 per unit 1875000 1250000 3125000Fixed costs 2250000Operating income 875,000Requirement: a. Compute the breakeven point in units, assuming that the company achieves its planned sales mix. b. Compute the breakeven point in units (a) if only standard carriers are sold and (b) if only deluxe carriers are sold. c. Suppose 250,000 units are sold but only 50,000 of them are deluxe. Compute the operating income. Compute the breakeven point in units. How do rechargeable batteries work? When a rechargeable battery is connected to electricity it changes the pressure inside and allows the rubber membrane to expand, thus releasing more energy next time its used. When plugged into the wall the electrons are sent back to rebuild the original dry cell (or metal). Rechargeable batteries are made exclusively of nitrogen which when exposed to electricity from and outlet can store a charge. When a battery is zapped by the electricity from the outlet it resets the system. Please help me with this The process of labelling deviants is also known as How did many northerners, such as Daniel Webster, view the conflict between states' rights and the federal government's rights in the 1830s?States should have the right to nullify federal laws.States should not be able to ignore federal laws.States should have the right to secede from the Union.States should be required by federal law to ban enslavement. What is another word that can be used to describe "homeostasis"? All real number less than 38 find a9 of an= 3n-7. please get this right pleaseee Whats climax in literature Suppose the inflation rate is 3% when a 15-year mortgage loan is given at a fixed rate of 4.5%. Five years later the inflation rate rises to 4%. What impact does this change have on the nominal interest rate and the real interest rate on the mortgage loan AB, CD, and EF intersect at O. If CD is perpendicular to EF and m At present, migrants from rural areas are most likely pushed to urban areas because ofO better educational and job prospectsimproved economic opportunities.O political instability and violence.better transportation links.declining agricultural opportunities. Im so confused help Distribute: 7(t+4) Please Help!Q.1. Describe and explain what can be seen by using the Parkes Radio Telescope, affectionately known as The Dish. Be sure to explain what synchrotron radiation is.Q.2. Why is the Murchison Radio Observatory such an ideal place to build radio telescopes? Explain.Q.3. When Walker decides that she wants to explore beyond the Milky Way, what does she find?Q.4. How many radio galaxies can be seen in the image that Walker shares? Describe these galaxies and what they look like in the image?Q.5. After learning about Walker and her love of and exploration of galaxies, what questions do you still have? What do you want to know more about? Someone help Ill give Brainliest!! "It shall be the policy of this Nation toregard any nuclear missile launchedfrom Cuba against any nation in theWestern Hemisphere as an attackby the Soviet Union on the UnitedStates, requiring a full retaliatoryresponse upon the Soviet Union."--U.S. president John Kennedy, Address onThe Cuban Crisis-October 22, 1962What policy is reflected in President Kennedy's phrase "a full retaliatory response"?brinkmanshipcontainmentisolationismnonproliferation Which relationships describe angles 1 and 2?Select each correct answer.O complementary anglesD vertical anglesO adjacent anglesO supplementary angles Read this excerpt from White Fang.At last [White Fang's] nose touched the canvas. He waited. Nothing happened. Then he smelled the strange fabric,saturated with the man-smell. He closed on the canvas with his teeth and gave a gentle tug. Nothing happened,though the adjacent portions of the tepee moved. He tugged harder. There was a greater movement. It wasdelightful. He tugged still harder, and repeatedly, until the whole tepee was in motion.How is White Fang's character developed in this excerpt?O through interaction with another characterO through interaction with the settingO through a plot conflictthrough the author's opinion HELP HELP HELP PLS PLS PLS PLS PLS IWILL GIVE BRAINLIEST AND 100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Evaluation of current fitness level and any physical concerns