The speed of the water in a whirlpoil varies inversely with the radius. if the water speed is 2.5 feet per second at a radius of 30 feet what js the speed of the water at a radius of 3 feet?​

Answers

Answer 1

Answer:

25 feet per second.

Step-by-step explanation:

Let s represent the speed of the water and r represent the radius of the whirlpool.

The speed in a whirlpool varies inversely with the radius. Therefore, we can write that:

[tex]\displaystyle s=\frac{k}{r}[/tex]

Where k is the constant of variation.

We know that the speed is 2.5 feet per second when the radius is 30 feet.

So, s = 2.5 when r = 30. Substitute:

[tex]\displaystyle 2.5=\frac{k}{30}[/tex]

Solve for k:

[tex]k=30(2.5)=75[/tex]

So, our equation is:

[tex]\displaystyle s=\frac{75}{r}[/tex]

Then when the radius is three feet, r = 3. Evaluate for s:

[tex]\displaystyle s=\frac{75}{(3)}=25\text{ feet per second}[/tex]

So, the speed of the water in a whirlpool with a radius of three feet is 25 feet per second.


Related Questions

evaluate 9^-1/2
help

Answers

Answer:

1 /3

Step-by-step explanation:

We know that a^-b = 1/a^b

9^-1/2 = 1/9^1/2

The sqrt (9) =3

1 /3

Please help me I need to answer this before tomorrow!

Answers

Answer:

Quadrant IV or D

Step-by-step explanation:

It is Quadrant IV or D, since it is a positive x (meaning it must be 1 or 4) and it has a negative y (so 3 or 4). You then find the common answer which is 4 or IV.

y = one-third (x + 2)

Answers

Answer:

Step-by-step explanation:

according to the question equation is

y=1/3*(x+2)

y=x+2/3

Mr. Kevin pays $37.95 per month for his cell phone with unlimited minutes. At this rate, what will his cellphone
cost for the year

Answers

$37.95 x12= 455.4 so Kevin’s cellphone will cost 455.4 for the year

Answer:

$455.4 For The Year

Step-by-step explanation:

Kevin  pays $ 37.95 per month for his cell phone with unlimited minutes

First, We know that there are 12 months in 1 year.

Therefore, 1 year = 12 months

The cost per month = $ 37.95

So, have to find the cost for 12 months

Cost for 12 months = 12 x 37.95

Cost for 12 months = 455.4

So your solution to the problem is $455.4 Cost for the year.

Los números 0, 4, -2, -1 ordenados de mayor a menor 4, .1, -.2 ,0 4, 0 -2, -1 .1,.2,0, 4 4, 0, -1, -2

Answers

Answer:

opción D

Step-by-step explanation:

El número más bajo es -2

Número mayor que -2 es -1

Número mayor que -1 es 0

Número mayor que 0 es 4

Entonces, el orden de mayor a menor es 4> 0> -1> -2

Por tanto, la opción D es correcta

Help needed only if you can explain!!

Answers

Answer:

The probability is 1/41664.

To calculate the probability, write a fraction. The numerator is the number of ways the outcome can occur. The denominator is the number of different outcomes.

Thus, 1 is the number of outcomes we want. 41664 is the total number of different combinations possible.

Solve the equation to find where the treste ground levelEnter your answers from least to greatest and round to the nearest The meets the ground at and

Answers

Answer:

The trestle meets ground level at 0.875 units and 9.125 units

Step-by-step explanation:

Poorly formatted question.

The given equation is:

[tex]y = -x^2 + 10x - 8[/tex]

Required

The point where the trestle gets to the ground level

To do this, we set [tex]y = 0[/tex]

So, we have:

[tex]-x^2 + 10x - 8 = 0[/tex]

Multiply through by -1

[tex]x^2 -10x + 8 = 0[/tex]

Solve using quadratic formula:

[tex]x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where:

[tex]a = 1; b =-10; c = 8[/tex]

So, we have:

[tex]x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}[/tex]

[tex]x= \frac{-(-10) \± \sqrt{68}}{2*1}[/tex]

[tex]x= \frac{-(-10) \± 8.25}{2}[/tex]

[tex]x= \frac{10 \± 8.25}{2}[/tex]

Solve the fraction

[tex]x= 5 \± 4.125[/tex]

Split

[tex]x= 5 + 4.125\ or\ x= 5 - 4.125[/tex]

[tex]x= 9.125\ or\ x= 0.875[/tex]

What is the range of the function in this table?
х y
1 2
2 4
3 3
4 2

a. (1,2), (2,4), (3,3), (4,2)
b. (1,2)
c. {1,2,3,4}
d. {2,3,4}




Answers

Answer:

4 is the range of the function

plzz ans quick now plzz plzz plzz

Answers

Rational

OPTION A is the correct answer

Answer:

A is the correct answer! :)

Step-by-step explanation:

have a nice day!~

Which data set has high consistency and low variability? Why?

Answers

bc it do just bc it do

Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?

A. a bar graph
B. a circle graph
C. a histogram
D. a line graph

Answers

Answer:

I believe that a bar graph will help with that, because you can narrow the answers down to a bar graph and a line graph but a line graph will only show an increase and a decrease not an average, and a bar graph shows all three.

Step-by-step explanation:

I hope this helped let me know!

please help calculate

Answers

Step-by-step explanation:

the answer is in the above image

Help plsss!

find the area of the shaded region

Answers

I think it’s about 134.13 ft

to find the circle the formula is pi times the radius squared so:
12.5 x 12.5 = 156.25
156.25 x pi ≈ 490.8738 ft squared

to find the square it’s base x height so:
25 x 25 = 625

then to find the shaded part you just find the difference:
625 - 490.87 = 134.13 ft

why can’t these lines be marked parallel ?

Answers

Because they both have a different degrees.

I hope this helps.

Answer:

there not the same and eqjral

Step-by-step explanation:

Please help me i dont understand

Answers

Answer:

Your answer is 15.

Step-by-step explanation:

I've done this before and got it right

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

15^2+8^2=missing side^2

225+64=missing side^2

[tex]\sqrt{289[/tex]=missing side

17=missing side

Maggie's brother is 7 years younger than twice her age. The sum of their ages is 32.
How old is Maggie?
Maggie is
years old

Answers

Answer:

Let M = Maggie's age

B = Brother's age

Then  M + B = 32

B = 2M - 7        

Then   M + 2M - 7 = 32

3M= 39 = 13

M= 13

Maggie is 13.

Step-by-step explanation:

Brainly?



Which is the most economic way to lessen electric consumption?

a.Use all appliances which are not so important
b.More appliances will be used for relaxation
c.Use only appliances to the most important task in the house
d.Don’t mind the high bill anyway you have have much money to pay for bill


An electric bill shows a previous reading of 2156kwh and a present reading of 2268kwh How many kilowatt-hour was consumed?

a.102kwh
b.112kwh
c.112kwh
d.122kwh


Compute the electrical consumption of Falogme Family if the present reading in their eletric meter is 5623kwh and the previous reading is 5512kwh

a.110kwh
b.111kwh
c.112kwh
d.121kwh

Answers

Answer:

1) c. Use only appliances to do the most important task in the house.

2) b. 112kwh

3) b. 111kwh

Step-by-step explanation:

Energy can be defined as the ability (capacity) to do work and it's measured in Joules. The various forms of energy are solar energy, chemical energy, thermal energy, wind energy, nuclear energy, electrical energy, etc.

Power can be defined as the energy required to do work per unit time.

Mathematically, it is given by the formula;

[tex] Power = \frac {Energy}{time} [/tex]

Energy consumption is the total amount of power used by an electronic device per unit time and it's measured in Watt-hour or Kilowatt-hour.

Mathematically, it is given by the formula;

[tex] Energy = power * time [/tex]

Generally, the most economic way to lessen electric consumption is by ensuring only the important electrical appliances are used at all times.

2. Given the following data;

Previous reading = 2156 KWh

Present reading = 2268 KWh

To find how many kilowatt-hour was consumed;

Energy consumption = present reading - previous reading

Energy consumption = 2268 - 2156

Energy consumption = 112 KWh

3. Given the following data;

Previous reading = 5512 KWh

Present reading = 5623 KWh

To find the electrical consumption of Falogme Family;

Electrical consumption = present reading - previous reading

Electrical consumption = 5623 - 5512

Electrical consumption = 111 KWh

find the perimeter of the trapezoid

Answers

Answer:

Perimeter you add up all the sides.  If it is a horizontal or vertical line, you just write those values for the side lengths.  For the slanted one, I would use pythagorean theorem to solve it.

Step-by-step explanation:

If we make a right triangle using vertical and horizontal lines. We will find that a = 6, and b = 12.  Find the square root of the sum of a squared plus b squared.  That will tell you C.  Then add C to the other 3 sides and that will give you the perimeter.

In the diagram below,

Answers

Answer:

<H = 40

Step-by-step explanation:

Complementary angles add to 90 degrees

2x+10 + x+20 = 90

Combine like terms

3x+30 = 90

Subtract 30

3x+30 -30 = 90-30

3x = 60

Divide by 3

3x/3 = 60/3

x = 20

<H = x+20 = 20+20 = 40

What is the image of the point(2,-5) after a rotation of 90 degree counterclockwise about the origin

Answers

Answer:

(-2,5)

Step-by-step explanation:

When a point is rotated  counterclockwise 90 degrees about the origin then the coordinates of the image will be (x,y) → (-y,x).

Here, (5,2)→(-2,5)

Therefore , if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).

Hence, if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).

if this helped you can you slide a Brainliest :)

Pls help I need it ASAP it’s easy tho

Answers

Answer:

Step-by-step explanation:

360/2=180

5x+4x=180

9x=180

x=20

5×20:4×20

100:80

A map has a scale of 1:200000 How far is it from Belfast to Larne in Km if the distance on the map is 7.8cm

Answers

Answer:

15.6km

Step-by-step explanation:

Given the map scale 1:200000

1cm on the map represents 200000 cm on ground or in actual distance

Hence, if distance from Belfast to Larne is 7.8vm on map ;

Actual distance will be :

7.8 * 200000 = 1560000 cm

Converting to km :

Recall :

1000 m = 1km

100 cm = 1 m

Hence,

100000 cm = 1km

Therefore, (1560000 / 100000) km

= 15.6km

Hence, distance between Belfast and Larne is 15.6km

PLEASE HELP! (Look at photo)

Answers

Answer:

D.$.137.50

Step-by-step explanation:

$137.50*2=275.00+60=335

Answer: D

Step-by-step explanation:

335-60 = 275/2 = 137.5

the lenths of the sides of a triangle are in the extended ratio 5:9:10. the perimeter of the triangle is 48 cm. what are the lengths of the sides?​

Answers

Answer:

What's my age im 1300

Step-by-step explanation:

Answer:

The sides are of lengths 10, 18, 20

Step-by-step explanation:

Perimeter = 48

Lengths of the sides

5:9:10 * (48/(5+9+10)  = 5:9:10 * (48/24) = 10:18:20

The sides are of lengths 10, 18, 20

Please help Thank you ​

Answers

Answer:

[tex]c=13feet[/tex]

Step-by-step explanation:

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

[tex]c^{2} =5^{2} +12^{2}[/tex]

[tex]c^{2} =25+144[/tex]

[tex]c^{2} =169[/tex]

[tex]c=\sqrt{169}[/tex]

[tex]c=13feet[/tex]

Hope this helps,

Have a great day ahead :)

help very easy 5th grade math im in rush please help im very tired

Answers

Answer:

D

Hope that this helps!

starts at +8 and move -3 . starts at -8 and move-3 . start at 0 and -3. starts at +4 and move -4.​

Answers

Answer:

end -8 and move -3 . start at -8 and move -3

Vanessa received a $12,000 loan from the bank to buy a motorcycle. She will repay the loan to the bank with an $300 monthly payment.

Answers

Answer:

40 months

Step-by-step explanation:

It will take Vanessa 40 months or 3 years and 4 months to repay the bank their loan amount(without interest ofc).

Answer:

Time = 42 months

Step-by-step explanation:

[tex]Monthly \ payment = [rate + \frac{rate}{(1 + rate)^{month}-1}] \times principal[/tex]

Monthly payment = 300

Principal = 12000

[tex]Rate \% = \frac{300}{12000} \times 100 = \frac{30}{12} = \frac{5}{2} = 2.5[/tex]

Substituting and solving Months = 42 months

HELP ASAP IM BEING TIMEDD

Answers

Answer:

53/100

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

8 / 15 = 0.533

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 533

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule I applies, so 8/15 (or 0.533) rounded to the nearest hundredth in decimal format is:

0.53

 

Next, we will make 8/15 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:

0.53 = 0.53/1

Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:

(0.53 x 100) / (1 x 100) = 53/100

That's it. 8/15 rounded to the nearest hundredth is displayed below (simplified if necessary):

53/100

Answer:

53.33% is the correct answer

PLEASEE HELP I NEED ASAP TY SM

Answers

Answer:

51

Step-by-step explanation:

166-13=153

153/3=51

51

sorry if that didn't make sense, that is just how i solved it

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