The area of a circular wave expands across a still pond such that its radius increases by 14 cm each second. Write a formula for the area A of the circle as a function of time t since the wave begins: A=

Answers

Answer 1

Answer:

A = π(14t)²

Step-by-step explanation:

The radius is increasing at the rate of 14 cm per second.

We need to find the formula for the area A of the circle as the function of time t.

Initial area of the circle,

A = πr², where r is the radius of the circle

Area as a function of t will be :

A = π(14t)²

Here, 14t is the radius of the wave.

Answer 2

We want to get the area function given that we know how the radius increases with time.

The function is:

A(t)  = (615.44 cm^2)*t^2

Here we know that the radius of a circular wave increases by 14cm each second.

Then we can write the radius as a function of time as:

r(t) = 14cm*t

where t is the time, in seconds, since the wave begins.

Now, remember that the area of a circle of radius r is given by:

A = pi*r^2

where pi = 3.14

Replacing r by the radius function, we get:

A(t) = 3.14*(14cm*t)^2 = (615.44 cm^2)*t^2

This is the area function we wanted to get.

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Related Questions

Is the equation a linear function or nonlinear function?
y = 0.5x – 1

Answers

Answer:

Linear.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 0.5x - 1

Step 2: Compare

y = mx + b

y = 0.5x - 1

m = 0.5

b = -1

The equation is a linear function. It's proportional.

DUE IN 10 MINUTES!!!!!!!!!!!!!!!!!!!!!!!!!!

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Should be 1/4 I think

Answer:

1/4

Step-by-step explanation:

Need help will mark Brainliest

Answers

Answer:

40

Step-by-step explanation:

You know that angle m<SRT is 40, because it's a supplementary angle with 140. 180 - 140 = 40.

Next, you also know that the interior angles of a triangle add up to 180, so you would now make an equation adding all three angles and setting them equal to 180.

40 + 3x + 4 + 8x + 4 = 180

You would now add like terms.

11x + 48 = 180

You would now subtract 48 from both sides.

11x = 132

You would now divide both sides by 11.

x = 12

You would now plug x into m<RST, 3x + 4.

3(12) + 4 = m<RST

36 + 4 = m<RST

40 = m<RST

use the figures below what is the ratio of AD to JM
A.2/3
B.6/5
C.3/2​

Answers

If I knew what the figures looked like I could help you but since I don't. I'll just explain.

A: If 2/3 is a ratio provided then AD to JM might be 4 to 6

B: If 6/5 is a ratio provided then AD to JM might be 12 to 10

C: If 3/2 is a ratio provided then AD to JM might be 6 to 4

Can u pls post thefigures sos i can help u

d Question 5 5. Given A is between Y and Z and YA = 14x, AZ = 10x and YZ = 12x + 48, find AZ

Answers

Answer:

Step-by-step explanation:

If A is in between Y and Z, then;

YA+AZ = YZ

Given.

YA = 14x,

AZ = 10x and

YZ = 12x + 48

Substitute into the formula

14x+10x = 12x+48

Find x;

24x = 12x+48

24x-12x = 48

12x = 48

x = 48/12

x = 4

Get AZ

AZ = 10x

AZ =10(4)

AZ = 40

j
— + 7 = -12
-2

what is the answer​

Answers

j= 30

30/-2 + 7=12
——————

Answer:

j=38

Step-by-step explanation:

j

— + 7 = -12

-2

move the (7) to the other side by subtracting,

-12-7= 19

j

—  = -19

-2

continue by moving (-2) to the other side as well, do so by multiplying,

-19*-2= 38

therefore, j=38

I need help with some math problems, thank you​

Answers

Answer: segundo

Step-by-step explanation:

1/7 divided by 2/5 - 1/7=

Answers

Answer:

1 4/5

Step-by-step explanation:

2/5-1/7=9/35

9/35 / 1/7=9/5=1 4/5

What does it mean when the x- coordinate or y-coordinate of a point is 0 ?

Answers

Answer:

The center of the coordinate system (where the lines intersect) is called the origin. The axes intersect when both x and y are zero. The coordinates of the origin are (0, 0). An ordered pair contains the coordinates of one point in the coordinate system.

Step-by-step explanation:

Answer: x, y coordinates are horizontal and vertical

Step-by-step explanation:

For the following quadratic equation, find the discriminant.
5x^2– 10x – 255 = 0
please help meee

Answers

Answer:

5200

Step-by-step explanation:

STEP 1: The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

[tex]b^2-4(ac)[/tex]

STEP 2: Substitute in the values of a, b, and c.

[tex](-10)^2-4(5)(-255)[/tex]

STEP 3: Evaluate the result to find the discriminant.

[tex]5200[/tex]

Help Again Please Answer The Image

Answers

The top is +2 so the blank would be 6. On the bottom, the rate is +10 is the first blank is 55, the second blank is 75

At a toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60. Which option has the lesser price?

Answers

Answer:

The 8-pack is better value

Step-by-step explanation:

$7.50/6 = $1.25 per ball

$9.60/8 = $1.20 per ball

The 8-pack is a better value if the toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.

What is a fraction?

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:

At a toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.

For:

At a toy store, Colton can buy a package of 6 mini footballs for $7.50

Each ball price

$7.50/6 = $1.25 per ball

Each ball price

$9.60/8 = $1.20 per ball

The 8-pack is a better value

Thus, the 8-pack is a better value if the toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.

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A football team lost 2 yards every 5 minutes. Write the integer that represents how many yards the team lost after 15 minutes

Answers

Answer:

6 yards

Step-by-step explanation:

15mins/5mins = 3
hence, 2x3 = 6

The product of 900 and 200 expressed in scientific notation is

Answers

Answer:

180,000

Step-by-step explanation:

You can multiply 9 * 2 =  18 then add all the 4 0000s

therefore, your answer is 180,000

The product of 900 and 200 expressed in scientific notation is 1.8 x [tex]10^5[/tex].

What is scientific notation?

It is the way of writing a large number between 1 to 10 with a power of 10.

We have,

To express the product of 900 and 200 in scientific notation, we need to multiply the two numbers and then write the result in the form of

a x [tex]10^n[/tex], where a is a number between 1 and 10 and n is an integer.

So,

900 x 200 = 180000

To express 180000 in scientific notation, we can write it as:

1.8 x [tex]10^5[/tex]

Therefore,

The product of 900 and 200 expressed in scientific notation is 1.8 x [tex]10^5[/tex].

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A box that measures 15 inches by 5 inches by 3 inches.
What are the units of the volume of the figure?

square inches
cubic inches
square centimeters
cubic centimeters

Answers

Answer: cubic inches.

Step-by-step explanation: When calculating volume, all of the units must be cubed. And all of the measurements are in inches.

Solve 8,961 ÷ 29 Using standard algorithm.

(Giving brainliest and extra points)

Answers

Answer:its 309

Step-by-step explanation:

Dale has written too many checks and his bank balance is –42.68. The bank will charge him an overdraft fee of $25. How much does he need to deposit so that his bank balance will be $50?

Answers

Answer:

$117.68

Step-by-step explanation:

You have to add them all together, because if he has a negative amount, he first needs to get that to 0. He then pays the overdraft fee, keeping him at 0. Lastly, he pays $50 to put it into his account. Good luck!

Find the area of a circle with a radius of 11 inches

Answers

Answer:

A ≈ 380.13in²

Or A= 379.94in²

Step-by-step explanation:

Formula for area:

A = π r²

A=π ·11² ≈ 380.13in²

If π is used as 3.14 then

A=3.14·11² = 379.94

please help im stuck​

Answers

Answer:

NOT a relation and NOT a function

The first one it’s not rational or a function I believe

BRAINLIEST FOR CORRECT ANSWER!
At a sale, dresses were sold for $24 each. This price was 12% of a dress's original price. How much did a dress originally cost?

Answers

Answer:

$200

Step-by-step explanation:

To find the original price, divide the price by 0.12:

24/0.12

= 200

So, the dress originally cost $200

Answer:

$200.

Step-by-step explanation:

To find the original price, divide the discounted price by 0.12.

$24 ÷ 0.12% = $200

The dress originally cost $200.

[tex]\frac{m}{y}=gh\\solve for m[/tex]

Answers

what are we solving for

PLS HELP ME FAST WILL GIVE POINTS
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(9, 0), Q(6, 3), and R(−3, −6). Triangle P′Q′R′ has vertices P′(3, 0), Q′(2, 1), and R′(−1, −2). Plot triangles PQR and P′Q′R′ on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)

Answers

Answer:

The scale factor of the dilation that transforms the triangle is 1/3

Step-by-step explanation:

9x1/3 is 3. 6x1/3 is 2, etc.

the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24inches, what is the signs area

Answers

Answer:

20 square inches

Step-by-step explanation:

Set width of sign to x.

Set length of sign to y.

5x=y

2(x+y)=24 inches

2(x+5x)=24 inches

12x=24 inches

width = 2 inches

length = 10 inches

Area = 20 square inches

PLEASE GIVE BRAINLIEST

The area of the rectangular sign will be 20 square inches

What is the area of the rectangle?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24 inches.

The area of the rectangle will be calculated as follows:-

5x = y

2(x+y)=24 inches

2(x+5x)=24 inches

12x=24 inches

The area of the rectangle:-

width = 2 inches

length = 10 inches

Area = 20 square inches

Therefore, the area of the rectangular sign will be 20 square inches.

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Which inequality is equivalent to -y> 18

Answers

Answer:

you forgot to add the options.

Step-by-step explanation:

Answer:

y≤−18

Step-by-step explanation:

PLS HELP!!! Which statement about numbers is true?

All whole numbers are rational numbers
All rational numbers are integers
All rational numbers are whole numbers
All integers are whole numbers

First to answer will be voted brainliest!!

Answers

Answer:

all integers are whole numbers

all integers are whole numbers !

an electrician has a 16-foot spool of wire and he needs to cut an 11-foot, 4-inch piece from the spool to make a repair. how many inches of wire will he have left on the spool after he makes the repair

Answers

16 x 12 = 192 inches on the spool
11 x 12 + 4 = 136 inches required for the repair
192 - 136 = 56 inches remaining on the spool, after the repair.

The electrician will have 56 inches of wire left on the spool after he makes the repair.

First, we need to convert the length of the wire that the electrician needs to cut into inches. 11 feet is equal to 11 * 12 = 132 inches, and 4 inches is equal to 4, so the total length of the wire that the electrician needs to cut is 132 + 4 = 136 inches.

The electrician started with a spool of wire that was 16 feet long, or 16 * 12 = 192 inches long. If he needs to cut 136 inches of wire, he will have 192 - 136 = 56 inches of wire left on the spool.

Therefore, the electrician will have 56 inches of wire left on the spool after he makes the repair.

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Nicole is making 1,000 bows for people who donate to the library book sale. She needs a piece of ribbon that is 0.45meter long for each bow. How many meters of ribbon does Nicole need to make the bows?​

Answers

Answer:

450 Ribbons

Step-by-step explanation:

multiply the length of 1 ribbon by how many she needs to make. we get, 0.45m x 1000bows

that's 450m ribbon.

plz mark this as brainliest and I hope I helped :)

Which of the following correctly identifies the set of outputs?

{(5, –2), (1, –1), (–2, 2), (2, 5)}
{(–2, 5), (–1, 1), (2, –2), (5, 2)}
{–2, –1, 2, 5}
{–2, 1, 2, 5}

Answers

I believe it’s the 3rd one because it’s all the
y-values aka all the outputs

Jan ran for 1 hour and 15 minutes. If Jan can run a mile in 7.5 minutes, how many miles did she run? There are 60 minutes in an hour

Answers

Answer:

10 miles

Step-by-step

Find the slope using the formula.
(4, 19) and (2, 11)

Answers

Answer:

[tex]m=4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

(4, 19)

(2, 11)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{11-19}{2-4}[/tex]Subtract:                       [tex]m=\frac{-8}{-2}[/tex]Divide:                          [tex]m=4[/tex]
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