Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of the circle measured in inches is modeled by the function r(s)=3 sqrt s, where s is time in seconds. The area of the spill when s=5 seconds is ___ pi square inches.

Answers

Answer 1

Answer:

[tex]Area=45\pi$ square inches[/tex]

Step-by-step explanation:

The radius, r of the expanding circle of oil is modeled by the function:

[tex]r(s)=3\sqrt{s}[/tex], where s is time in seconds.

When s=5

Radius, [tex]r(5)=3\sqrt{5}$ inches[/tex]

Area of a circle[tex]=\pi r^2[/tex]

Therefore, area of the oil spill when s=5 seconds is:

[tex]Area=\pi (3\sqrt{5})^2\\=\pi *3^2*(\sqrt{5})^2\\=\pi *9*5\\$Area=45\pi$ square inches[/tex]

The area of the spill when s=5 seconds is 45pi square inches.


Related Questions

top side is 6 just couldn’t fit in picture

Answers

Answer: [tex]6<z<18[/tex]

Step-by-step explanation:

Use the pythagorean theorem to find z first.

[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]

a = 12

b = 6

c = z

[tex]c=\sqrt{(12)^2+(6)^2}\\ c=\sqrt{144+36}\\ c=\sqrt{180} \\c=13.4[/tex]

z is greater than a and b

Solve for m. –5 − 5m = –6m
m= _

Answers

Answer:

M = 5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5−5m=−6m

−5+−5m=−6m

−5m−5=−6m

Step 2: Add 6m to both sides.

−5m−5+6m=−6m+6m

m−5=0

Step 3: Add 5 to both sides.

m−5+5=0+5

m=5

Finding a Linear Regression Model
Warm-Up
Find a linear function that models the data in the table
2
y
f(x) =
-4
-6
-1
-1
0
1
2
4
3
7

Answers

Answer:

f(x) = 1.8x + 1

Step-by-step explanation:

I graphed the table on the graph below and found the equation of the line.

If this answer is correct, please make me Brainliest!


Which of the following describe 9.49?

Answers

Answer:take 9x49

Step-by-step explanation:

You’ll get the answer

BRAINLIEST!!
3. Describe the shape of the data distribution.

Answers

Answer: postitive skewed

this is correct

Yes it is the third one for This question

Drag the tiles to the correct boxes to complete the pairs.
Match each quadratic equation with its roots.

Answers

Answer:

Step-by-step explanation:

simplify the following equation
x^5 * x^-3 =x^n
A. 4
B. -2
C. 2
D. 8

Answers

Answer:

x=2

Step-by-step explanation:

x^5 * x^-3 =x^n

We know a^b * a^c = a^(b+c)

x^(5 -3) =x^n

x^2 = x^n

2=n

Answer:

C. 2

Step-by-step explanation:

When you are multiplying the same base number with exponents you add the exponents. 5-3=2. So, n=2. Hope this helps :)

20 POINTS! The following graph shows the amount of money Jonah earns when he babysits for the family who lives next door. Based on the graph, which of the following statements are true? Select ALL that apply.

When Jonah babysits one hour, he earns $7.50.
The equation e = 4 h can be used to describe this situation.
Jonah earns $20 to babysit for 5 hours.
The number of hours Jonah works depends on how much he earns.

Answers

Answer:

The equation e = 4 h can be used to describe this situation.

Jonah earns $20 to babysit for 5 hours.

Step-by-step explanation:

When Jonah babysits one hour, he earns $7.50.

looking at the graph we see at 1 hour he earns 4 dollars false

The equation e = 4 h can be used to describe this situation.

The slope is 4   so y = 4x   e = 4h  would also work   true

Jonah earns $20 to babysit for 5 hours.

Using our equation from above

e = 4*5 = 20   true

The number of hours Jonah works depends on how much he earns.

This would be false

The dependent variable is on the y axis.  The amount he earns depends on how much he works

Answer:

the second one and the third one

Step-by-step explanation:

Which number is equal to 10 Superscript 4?
40
1,000
10,000
40,000

Answers

Answer: The answer is 10,000

Step-by-step explanation:

10^4 is equal to 10,000

10^4 to the second power means that you have too add 4 zeros to the end of the number.

Since 10 already has a 0, you would add 3 more.

Therefore, the answer would be 10,000.

(Your Welcome)

Answer:

10^4 is equal to 10,000

10^4 to the second power means that you have too add 4 zeros to the end of the number.

Since 10 already has a 0, you would add 3 more.

Therefore, the answer would be 10,000.

HELP ME QUICK PLZ WITH THIS MATH PROBLEM!!!!!!!!!!!!!!

Answers

Answer:

I believe it’s 1/2

Step-by-step explanation:

Take a point on the graph and use rise over run method

Answer:

D. 5/8 pounds

Step-by-step explanation:

You can find the slope by picking a point such as (8,5).

Slope = rise over run.

(8,5) is 8 units right and 5 units up, thus the slope is 5/8

Hope this helps.

what is the equation of the line passing through ( -5, -3 ) and perpendicular
to the line representing the equation y = - 5/7x + 2?

Answers

Answer:

y = 7/5x + 4

Step-by-step explanation:

use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.

(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4

a rectangular field has side lengths that measure 9/10 mile and 1/2 mile what is the area of the field

Answers

Answer:

[tex]\frac{9}{20}miles^2=0.45miles^2[/tex]

Step-by-step explanation:

To find the area of a rectangle:

[tex]a=l*w[/tex]

where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

In this case:

length: [tex]l=\frac{9}{10}miles[/tex]

width: [tex]w=\frac{1}{2} miles[/tex]

thus, we multiply this quantities to find the area:

[tex]a=(\frac{9}{10} miles)(\frac{1}{2}miles )\\\\a=\frac{9*1}{10*2}miles^2\\ \\a=\frac{9}{20}miles^2[/tex]

the area of this rectangle is 9/20 miles squared, or what is the same 0.45 miles squared

Find the area. Will mark brainliest.

Answers

Answer:

Step-by-step explanation:

base b = 11 cm

Height h = 6 cm

[tex]Area=\frac{1}{2}bh\\\\=\frac{1}{2}*11*6\\[/tex]

= 11 * 3

= 33 cm²

Answer:

33 cm squared

Step-by-step explanation:

A = 1/2bh

A = 1/2 (11) (6)

A = 1/2 (66)

A = 66/2

A = 33

At the end of the school year a school system has a table with the total absences and tardies in its 10 schools what is the best way to display these data?

A. Bar Graph
B.Circle Graph
C. Stem and leaf plot
D.Ogive graph

Answers

Answer:

A

Step-by-step explanation:

A coin has heads on one side and tails on the other the coin is tossed 12 times and lands heads up four times which best describes what happens when the number of trials increases significantly

Answers

Answer:

The number of occurrences for both possible events(heads or tails) will be closer to the expected outcome. By that I mean that of all the total outcomes heads will be about half of them and so will tails.

Order the numbers from least to greatest
-2 2.5 -3 -3.5 -2,1/2

Answers

Answer:

-3.5<-3<-2.1<-2<2<2.5

True or false.
The scale factor of a dilation is the ratio of a length of a side of the image to the corresponding side length of the pre-image.​

Answers

Answer:

true

Step-by-step explanation:

Answer:

true i think

Find the radius of the sphere with the given volume 36πin^3

Answers

The answer is 3 inches

Answer:

3 in.

Step-by-step explanation:

Which of the following shows the correct simplification assuming the denominator is not equal to zero?

Answers

Answer:

[tex]=\frac{3x+2}{x\left(x+1\right)}[/tex]

or

[tex]\frac{(3x+2)}{x^2+x}[/tex]

Step-by-step explanation:

[tex]\frac{2}{x}+\frac{1}{x+1}\\\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x+1:\quad x\left(x+1\right)\\Adjust\:Fractions\:based\:on\:the\:LCM\\Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:x\left(x+1\right)\\\mathrm{For}\:\frac{2}{x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x+1\\\frac{2}{x}=\frac{2\left(x+1\right)}{x\left(x+1\right)}\\[/tex]

[tex]\mathrm{For}\:\frac{1}{x+1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x\\\frac{1}{x+1}=\frac{1\cdot \:x}{\left(x+1\right)x}=\frac{x}{x\left(x+1\right)}\\=\frac{2\left(x+1\right)}{x\left(x+1\right)}+\frac{x}{x\left(x+1\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2\left(x+1\right)+x}{x\left(x+1\right)}\\[/tex]

[tex]\mathrm{Expand}\:2\left(x+1\right)+x:\quad 3x+2\\2\left(x+1\right)+x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=x,\:c=1\\=2x+2\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2x+2\\\mathrm{Simplify}\:2x+2+x:\quad 3x+2\\2x+2+x\\\mathrm{Group\:like\:terms}\\=2x+x+2\\\\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=3x+2\\=\frac{3x+2}{x\left(x+1\right)}[/tex]

Which is a solution to x + 5 = 8?

Answers

Answer:

 x = 3

Step-by-step explanation:

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    x-3 = 0  

Add  3  to both sides of the equation :  

                     x = 3

Then you will get the answer that is  x = 3

Hope this helps

Answer:
x=3
Reason:
x+5=8
-5 from both sides
8-5=3
so x=3

Iris had invited 105 people to her party. She needs 7 large tables to have an equal number of people at each table. Which equation shows how many people will sit at each table

Answers

Answer:

105/7= 15 people will seat at each table.

Step-by-step explanation:

If the probability of a chance event is 0.67, it is less likely to happen
than which of the following probabilities of another chance event?
Select one:

0.76

0.61

0.65

0

Answers

Answer:

.76

Step-by-step explanation:

It's quadratic, linear or exponential?​

Answers

Looks exponential to me

Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going on the
field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the
population. Which was most likely true of the representative sample?
VA
The representative sample contained all 160 students,
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls,
Save and Exit
Next
Submit
Mark this and retum

Answers

Answer:

The representative sample contained more girls than boys.

Step-by-step explanation:

A "sample" of something is a small part of it. A "representative sample" is a small part of the students that represents them all. A random sample would not include all 160 students. It is more likely that there would be more girls than boys, than more boys than girls. In total, there are more girls than boys: 95 girls to 65 boys. It is more likely that a sample of the total students would be just like the total, but smaller.

Given the exponential equation y=34(5)x, what is the y-intercept (or starting point) of the graph?

Answers

Answer:

34

Step-by-step explanation:

Given

y = 34[tex](5)^{x}[/tex]

To find the y- intercept let x = 0, that is

y = 34[tex](5)^{0}[/tex] = 34 × 1 = 34 ← y- intercept

Yes the answer is 34 because if you

Which of these are NOT expressions?
Check all that are true.

123

9 + 3 = 12

3(4x + 5)

6 − 5 − 4 = z

3z + 2x


HELP

Answers

Answer:

6-5-4=z

9+3=12

Step-by-step explanation:

Expressions has no equal sign

“9 + 3 = 12” and “3(4x + 5)”

What single rigid transformation maps TriangleABC onto TriangleA'BC'?

dilation
reflection
rotation
translation

Answers

Answer:

The answer would be reflection.

Step-by-step explanation:

the answer is reflection because you would reflect it over the axis.

Answer:

Reflection would map ABC to A'B'C'

Step-by-step explanation:

will give brainlist if its right!

Answers

Answer:

7/30

Step-by-step explanation:

or 7 out of thirty.

plz correct me if im wrong, ill fix it

Answer:

7/30

Step-by-step explanation:

First you need to add up all the frequency so you know the total number that they has spun which is 30. So you put the total frequency that number 4 has on. Which is  7/30

This graph shows a proportional relationship. (2/3, 3/4)


What is the constant of proportionality?

Answers

Answer: Hi! I'd love to help you but I'd need to see the graph.

Step-by-step explanation: Can you add a picture?

Solve.
-6x^2 - 2 - 3x=-8
a)x=5+√57÷16
b)x=-4+√34÷3
c)x=-7+3√41÷16
d)x=1+√17÷-4​

Answers

Answer:

So the d) is right.

Step-by-step explanation:

we have:

-6x^2 - 2 - 3x=-8

6x^2 + 3x - 6 =0

The delta = 3^2 -4*6*(-6) = 9 + 144 = 153= 9*17

These 2 solutions are:

[tex]x_{1} =\frac{-3+3\sqrt{17} }{2*6} = \frac{-3+3\sqrt{17} }{12} =\frac{-1+\sqrt{17} }{4} \\x_{2} =\frac{-3-3\sqrt{17} }{2*6} = \frac{-3-3\sqrt{17} }{12} =\frac{-1-\sqrt{17} }{4}[/tex]

So the d) is right.

Other Questions
The number of points Emerson scored in 5 basketball games is 10, 8, 9, 8,and 30. Why might it be misleading to Emerson to say that she averages 13points per game? * what forces cause surface ocean circulation? what forces cause deep water circulation? Which of the following choices is the best definition for the underlinedword ("fragmented")?The women had agreed that the company had gotten too large, andthe team had fragmented into smaller groups.Select one:A)the process of breaking downB)explodedC)restructuredD)the process of expanding into new areas A sample of helium gas at room temperature is compressed from 100 cm3 to 20 cm3. Its new pressure is now 30 cm Hg. What was the original pressure of the gas? which one would you choose and please explain why Please help I will give Brainliest please. Just tell what I need to do or solve I need help ASAP *image* PLEASE HELP IM DUMB AND I NED THIS ASAP Why is electroreception important to sharks?O keeps predators awayO detects preyO balanceO attracts mates ten tiles numbered 1 through 10 are placed in a bag you randomly chose one tile. without replacing the tile you randomly chose a second tile. Find the probability of choosing a 4 and then an even number? Which statement is true?A. Taxes are higher on short-term investments than long-term investments.B. Short-term investments are less prone to price volatility than long-term investments.C. Short-term investments require greater diversification than long-term investments.D. Short-term investments incur lower transaction fees than long-term investments.E. Short-term investments have a higher inflationary risk than long-term investments. 3. Which of the following sentences from "Five Hours to Simla" BEST supports the story's theme about the clash between modernization and traditional life?a. "After the first cacophony of screeching brakes and grinding gears, there followed the comparatively static hum of engines, and drivers waited in exasperation forthe next lurch forward."b. "A yellow pye-dog came crawling out of the shallow ditch that ran alongside the road and, spying an open door, came slinking up to it, thin, hairless tail betweenits legs, eyes showing their whites, hoping for bread but quite prepared for a blow instead."c. "The vendors milled around the buses, cars and rickshaws, and were soon standing at their car window, both vocally and manually proffering their goods for sale.d. "Caught in that illumination, the truck driver rose calmly to his feet, dusted the seat of his pyjamas, wound up the bandanna round his head, all in one fluid movement, and without a word leaped lightly back into the driver's seat of his truck." Help with this question A sphere has a radius of 6. Using 3.14 for pi, what is the volume? 4.) What tone is created by Crane when using words such as "maniacal," "furious," and "quivering"? * 1 point Frightening Sorrowful Sympathetic Tired Three people hiked the same 1 mile trail. The distance for each hiker is reperesented in the drawing. Show about where the 1 mile mark should be on each drawing.Explain how kepler describe the planets orbits Je me suis cass le bras quand je faisais du ski. Le mdecin ma donc prscrit dix sessions de _________________.A. poche de glaceB. kinsithrapieC. pltreD. chirurgie YOU WILL GET BRAINLIEST!! What could help a country move from Stage 1 to Stage 2 of the demographictransition?- Instituting population restrictions-increased immigration-The diffusion of contraceptives-better sanitation-Improving education for women Math question down below Simplify.8(12 - p)20 - (8+p)96 - 8p96 - p96p