A drop of oil makes a circular ring in a water puddle. The radius of the oil ring expands at 1.5 cm per second. If r(t)=1.5t and a(r)=лr^2, what composition of function describes the area of the oil ring in terms of time?

Answers

Answer 1

Answer:

[tex]a(t) =n(0.25t^2)[/tex]

Step-by-step explanation:

Given

[tex]r(t) = 0.5t[/tex]

[tex]a(r) = nr^2[/tex]

Required

Determine the area in terms of time

From the question, we have:

[tex]r(t) = 0.5t[/tex] -> radius per time

and

[tex]a(r) = nr^2[/tex] --> area from radius

The interpretation of the question is to find the composite function: a(t)

If [tex]a(r) = nr^2[/tex], and [tex]r(t) = 0.5t[/tex], the

Substitute 0.5t for r

[tex]a(t) =n(0.5t)^2[/tex]

[tex]a(t) =n*0.25t^2[/tex]

[tex]a(t) =n(0.25t^2)[/tex]


Related Questions

PLZ HELP

I will give brainliest

Which expression is equivalent to 7(n+5)

A.35n
B.n+35
C.12n
D.7n+35

PLEASE HELP

Answers

Answer:

D. 7n+35

Step-by-step explanation:

Fractions can be converted to percents. For example, 4/8 can be expressed as 50%. Write 6/8 as a percent.

Answers

Answer: 75%

Step-by-step explanation: First, you have to divide the numerator (6) by the denominator (8), which equals 0.75 in this case. Then you have to multiply the decimal (0.75) by 100. So you get the answer 75%.


Write the number five million four thousand three hundred in standard form.

Answers

Answer:

5,004,300

Step-by-step explanation:

Ethan buys a video game on sale. If the video game usually costs $49.99, and it was on sale for 30% off.​

Answers

Answer:

$34.99

Step-by-step explanation:

49.99 - 14.997=

34.99

Answer:

the answer is 34.99

if you want me to explain i will ")

Which postulates can be used to prove congruence? All that apply?

Answers

Answer:

SSS, SAS, ASA, AAS, (HL)

Step-by-step explanation:

HL is also one, but that isn't an option so ye

according to college survey, 22% of all students work full time. find the mean for the random variable X, the number of students who work full time in smaples of size 16

Answers

Answer:

[tex]Mean = 3.52[/tex]

Step-by-step explanation:

Given

[tex]Sample\ Size = 16[/tex]

[tex]Proportion = 22\%[/tex]

Required

Determine the mean of the proportion

The mean or expected value of a sample is calculated by multiplying the sample size by the proportion as follows;

[tex]Mean = n *p[/tex]

Where

[tex]n = 16[/tex] -- Sample Size

[tex]p = 22\%[/tex] -- Proportion

So:

[tex]Mean = n *p[/tex] becomes

[tex]Mean = 16 * 22\%[/tex]

Convert 22% to decimal

[tex]Mean = 16 * 0.22[/tex]

[tex]Mean = 3.52[/tex]

Hence, the mean is 3.52

For homework, Ari had to find 5% of $900. Did he do the work correctly? A tape diagram. There are 5 parts out of a whole of 100. There are question mark parts out of a whole of 900. StartFraction part Over whole EndFraction = StartFraction 100 times 180 Over 5 times 180 EndFraction = StartFraction 18,000 Over 900 EndFraction Are Ari’s calculations correct? No. Ari multiplied the denominators incorrectly. No. Ari should have written the percent ratio as StartFraction 5 Over 100 EndFraction No. Ari should have divided, not multiplied. Yes. Ari’s work is correct.

Answers

Answer:

B

Step-by-step explanation:

i took the test lol

Answer: For homework, Ari had to find 5% of $900. Did he do the work correctly?

A tape diagram. There are 5 parts out of a whole of 100. There are question mark parts out of a whole of 900.

Start Fraction part Over whole EndFraction = StartFraction 100 times 180 Over 5 times 180 End Fraction = StartFraction 18,000 Over 900 EndFraction

Are Ari’s calculations correct?

x No. Ari multiplied the denominators incorrectly.

✔ No. Ari should have written the percent ratio as StartFraction 5 Over 100 EndFraction

x No. Ari should have divided, not multiplied.

x Yes. Ari’s work is correct.

Find the PE ratio. Round to the nearest whole number.

Stock: Crown
Current Price per Share: $32.59
Annual Net Earnings per Share: $9.06

Answers

Answer:

4

Step-by-step explanation:

The current price per share is $32.59

The annual net earnings per share is $9.06

Therefore the PE ratio can be calculated as follows

= $32.59/$9.06

= 3.59

= 4 (to the nearest whole number)

Hence the PE ratio is 4

73% of 250 Question 4: What strategy would you use to find the percent? (Hint: "per" = division "cent" = 100) Per cent f 1 lod​

Answers

Answer:

73% of 250 is 182.5

Step-by-step explanation:

Divide 73 by 100

73/100=.73

Multiply .73 by 250

.73*250=182.5

An antelope can run at a speed of 61 miles per hour. What is this speed in yards per second? Round to the nearest hundredth.

3 ft = 1 yd

Answers

Answer:

0.01

Step-by-step explanation:

there is a total of 3,600 seconds in an hour so then u just devide 61 miles by 3,600 and get 0.01694444, round that to the nearest hundreth and you get 0.01

Use the substitution method to solve the system of equations.
y=-8x HELP
4x - y = 3
A. (6. - 4
ОВ. (3. - 4
C.
D. (1-2)

Answers

Answer:

D. (1/4, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -8x

4x - y = 3

Step 2: Solve for x

Substitution

Substitute in y:                    4x - (-8x) = 3Simplify:                               4x + 8x = 3Combine like terms:           12x = 3Isolate x:                              x = 3/12Simplify:                               x = 1/4

Step 3: Solve for y

Define equation:                    y = -8xSubstitute in x:                       y = -8(1/4)Multiply:                                  y = -2

7. A rectangular lot is entirely enclosed by a fence.
If the lot measures 225 feet long and 165 feet
wide, what is the length, in yards, of the fence?
a. 360
b. 390
c. 260
d. 1,560
e. 2,340

Answers

Answer:

it is 390

Step-by-step explanation:

What is this? Please answer with an explanation

Answers

Answer:

5

Step-by-step explanation:

1. in order to calculate all the required values, it needed to solve:

[tex]\sqrt{x-5} \geq 0; \ <=> \ x\geq 5.[/tex]

2. x≥5 means, that x∈[5;+∞), where beginnig is '5'.

2 x {6 + (12 = (3 + 1)]} – 1

Help please

Answers

Step-by-step explanation:

2×{(6+12)=(3+1)}-1

We will have to solve the ones in the bracket first.

2×{(18)=(3+1)}-1

2×{18=4}-1

So now we remove the brackets

2×18=4-1

36=3

Then we divide both sides by 3

So the final answer is 12

Find the mean of this set of values
15 8
12 14 10 13
The mean value is:​

Answers

Hey there!

Basically the mean is the average of your given set that you have!

Here is your formula:

mean = SUM of each over your terms DIVIDED BY NUMBER of terms

“15, 8, 12, 14, 10,13”

SUM = addition

15 + 8 + 12 + 14 + 10 + 13

15 + 8 = 23

23 + 12 + 14 + 10 + 13

23 + 12 = 35

35 + 14 + 10 + 13

35 + 14 = 49

49 + 10 + 13

49 + 10 = 59

59 + 13 = 72

72 / NUMBER OF TERMS

Number of terms: 6

72 / 6 = 12

Thus your answer your answer: 12 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

I dunno, need help!

Answers

it is d,c,b im pretty sure

Flaws in concrete beams follow a Poisson process. Beams fabricated by process A have flaw rates of 10/meter while beams fabricated by process B have flaw rates of 5/meter. From a yard containing equal numbers of process A and process B beams one beam is selected at random and a 1-meter length of the beam is inspected. If 8 flaws are found what is the probability the inspected beam was fabricated using process A?

Answers

Answer:

P(A | Y = 8) =  0.633

Step-by-step explanation:

It is really a simple and interesting question, as it involves the Poisson distribution and probability.

First of all, let's try to understand the problem statement clearly. It says that there are two process by which beams are made, namely A and B.

It further states that, beam made by process A has = 10 flaws per meter.

Beam made by process B has = 5 flaws per meter.

Finally, it says that from a yard containing equal numbers of process A and process B beans, one beam is randomly selected and 1 - meter of it is inspected. And they have found 8 flaws in it.

We now, have to find out the probability that the inspected beam is from process A.

For this,

Let's suppose, Y is no. of flaws

So,

P (Y=8|A) = [tex]\frac{e^{-10}. 10^{8} }{8!}[/tex]

where , e = Euler's Constant = 2.71828

P (Y=8|A) = 0.11

Similarly for process B

P (Y=8|B) = [tex]\frac{e^{-5}. 5^{8} }{8!}[/tex]

P (Y=8|B) = 0.06

As, we know from the problem statement that there are equal numbers of process A and process B beams.

So, the probability of A = Probability of B = 0.5

P(A) = 0.5

P(B) = 0.5

We need to find, P(A|Y=8) and for this we need to find the P(Y=8) first.

Using the law of total probability:

P(Y=8) =  P(Y = 8 |A) P(A) + P(Y = 8|B) P(B)

Plug in the values:

P(Y=8) = (0.11 x 0.5) + (0.06 x 0.5)

P(Y=8) = 0.088

Now, by applying Bayes Theorem, we can find the required probability:

P(A | Y = 8) = P(Y = 8 | A) P(A) / P(Y = 8)

8 flaws are found, the probability the inspected beam was fabricated using process A is :

P(A | Y = 8) = 0.11 x 0.5 / 0.088

P(A | Y = 8) =  0.633

Furthermore,

8 flaws are found, the probability the inspected beam was fabricated using process B is :

P(B | Y = 8) = 1-P(A | Y = 8)

P(B | Y = 8) = 1 - 0.633

P(B | Y = 8) = 0.367

3(2x-4y) +14-2y=5x
solve for y. pls help this is the 3rd time asking & no silly answers! i need help pls!

Answers

Answer:

y=x/14+1

Step-by-step explanation:

3(2x-4y) +14-2y=5x

6x-12y+14-2y=5x

6x-14y+14=5x

x+14=14y

x/14+1=y

And dude I feel ur pain no one is responding to my questions :(

WILL GIVE BRAINLIEST pls help

Answers

i’m answering for points and so the other person can get brainliest lol

It is the end of the semester, and the clubs at school are recording their profits. The Science Club started out with $20 and has increased its balance by an average of $10 per week. Write an equation in slope intercept form for the Science Club. It is the end of the semester, and the clubs at school are recording their profits. The Math Club has saved $5 per week after starting out with $50 at the beginning of the semester. Write an equation in slope intercept form for the Math Club. It is the end of the semester, and the clubs at school are recording their profits. Graph both lines from question 1 and 2 on the same coordinate plane. When do the clubs have the same balance?

Answers

Answer:

Science Club- y=10x+20

Math Club- y=5x+50

They will be equal 6 weeks

Step-by-step explanation:

X equals the number of weeks that have passed. In example of the science club, they would gain $10 every week, making the equation y (total money) equal to 10 dollars a week (or 10x.)

Since we know they begin with 20 dollars, we'll simply add that to the 10 dollars a week.

To find the week when they will be equal, we have to put both equations equal to each other.

10x+20=5x+50

Now we solve for x, or the number of weeks when the equations (and values) will be equal.

10x+20=5x+50

5x+20=50

5x=30

x=6

So... 6 weeks :)

You can use desmos to graph if you need it.

PLEASE HELP ME WITH THIS QUESTON 19 THE TABLE IS NEXT TO IT

Answers

Answer:

11.8 miles on 0.1 gallons of fuel

1180 miles on 10 gallons of fuel

Step-by-step explanation:

Answer:

row 1: 0.1 gallons = 11.8 miles

row 3: 10 gallons = 1180 miles

Step-by-step explanation:

if 1 gallon = 118 miles, you can use the 118 and multiply o.1 or 10.

-4 1/4 as a decimal number HELP!!!

Answers

Answer:

-4.25

−4 1/4 = −4 +1/4

= −4/1+1/4

=(−4/1×4/4)+1/4

=−16/4 + 1/4= −17/4

So, -17 divided by 4 equals

-4.25

Which of the following values represents (f^-1)'(-1/8) where f(x) = (3x - 1)^3?

A. -1/2
B. 4/9
C. 9/4
D. 1/6
E. -1/6

Answers

Answer:

Answer:A.

x f(x)

-2 4

-1 1

0 0

1 1

2 4

B.

x f(x)

1 6

2 7

3 8

4 9

5 10

C.

x f(x)

-2 -3

-1 -1

0 1

1 3

2 5

D.

x f(x)

1 3

2 6

3 9

4 12

5 15

Step-by-step explanation:

The required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.

What is implicit differentiation?

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

Here,
Let f(x) = y
Given function,
y = [3x -1]²
The inverse of the above function is given as,
f⁻¹(x) = [∛x + 1]/3
Differentiate the above inverse function,
[f⁻¹(x)]' = 1/[9x²/³]
Substitute x = 1/8
[f⁻¹(1/8)]' = 1/[9(1/8)²/³]

[f⁻¹(1/8)]' = 4 / 9

Thus, the required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.

Learn more about implicit differentiation; https://brainly.com/question/11887805

#SPJ2

Please help quickly, it would be really appreciated.

Answers

Answer:

ASA

Step-by-step explanation:

The triangles are congruent by ASA.

d. One holding pen uses 500 feet of fence
wire and 100 feet of tie wire. A farmer
uses a combined length of 1,000 yards of
wire. What length of tie is wire was used?





HELP ME PLEASE!!!!!!

Answers

Answer:

1000 feet of tie wore is what he used

Step-by-step explanation:

simple

Jenny bought gas for her car. Gas cost $3.45 per gallon. She bought 12.2 gallons for her car. What was the total cost of gas for Jenny's car?

Answers

42.09$ would be the correct answer, you just multiple 3.45 and 12.2 to get this answer

Answer:

42.09

Step-by-step explanation:

3.45 x 12.2 = 42.09 (checked with a calculator)

Each side a square playpen is 3 feet long. What is the playpen's area?

Answers

34ft squared is the answer

Answer:

It is 36ft squared

Step-by-step explanation:

Hope this helped have an amazing day!

To pay for a camper bill made a down payment of 3900and took out a loan for the rest. On the loan he paid monthly payments of 427.20 for 4 years

Answers

Answer:okay!!!

Step-by-step explanation:what is asking about

What is the question in this problem

a square field is 30m long find its perimeter​

Answers

Answer:

90m

Step-by-step explanation:

long sides are 30 each and the top sides are 15 each

Area of the outer square
=30
2
+256=900+256
=1156=(34)
2

∴ Side of the outer square =34=30+2x
∴ x=2 where x is the width.

an excise tax is a tax on what?​

Answers

Answer:

excise taxes are taxes on specific goods like gasoline

Step-by-step explanation:

An excise tax is a legislated tax on specific goods or services at purchase such as fuel, tobacco, and alcohol.
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