A right circular conical tank of height 1 foot and radius 1 foot at the top is full of water. Taking the density of the water to be 60 pounds per cubic foot, how much work in foot-pounds is required to pump all the water up and over the top of the tank

Answers

Answer 1

Answer:

Step-by-step explanation:

Height= 1 foot

Radius= 1 foot

Density= 60 pounds per cubic foot

Density = mass/ volume

Vol of cone= 1/3× 22/7 ×(radius^2)

=1/3×22/7×1×1

=22/21

Mass=volume × density

= 22/21 × 60

=440/7

Energy = mgh

= 440/7 ×10 × 1

= 628.57 foot pounds


Related Questions

Find the Surface Area of this Prism

Answers

Answer:

[tex]54 m^2[/tex] is the correct answer I believe

What is the product?
2 3 4
5 9 -1 -7
11 5 -3

Answers

Answer:

-1247400

Step-by-step explanation:

See the Image below:) I believe this is what you are looking for.

A tree grows exactly one half meter in height per year. The tree is currently 8 meters tall. If someone hammers a nail into the tree at a height of exactly 2 meters, how high will the nail be after 12 years of growth

Answers

Answer:

2 meters

Step-by-step explanation:

Given

[tex]a= 8m[/tex] --- initial

[tex]r = \frac{1}{2}m/year[/tex] --- rate

[tex]t = 12\ yrs[/tex]

[tex]Nail = 2m[/tex]

Required

The height of the nail after 12 years

The top of the tree will continue growing at the given rate, however, the height of the nail will remain unchanged.

This is so because when trees grow, they grow from the top; i.e. the heights are increased at the top while the bottom remains unchanged.

Hence, the height of the nail after 12 years in 2m

Huilan is 13 years younger than Thomas. The sum of their ages is 33. What is Thomas's age?

Answers

Answer:

Thomas is 20 years old

Step-by-step explanation:

33 - 13 = 20

The difference of two times a number and five is eight more than the number.
find the equation and solve for x

Answers

Answer:

x = 13

Step-by-step explanation:

The difference of two times a number and 5: [tex]2x-5[/tex]

Eight more than a number: [tex]x + 8[/tex]

You can create the following equality with this:

[tex]2x - 5 = x + 8[/tex]

Which is solved as follows:

[tex]2x-5=x+8\\2x-x=8+5\\x=13[/tex]

Answer:X= 13

Step-by-step explanation:

Step 1:

Let the unknown number be x

Such that the difference of two times a number and five is represented mathematically as 2x -5

And  eight more than the number can be expressed as

8 +x

Joining the two expressions to get an equation becomes 2x-5= 8+x

Step 2: Solving for x

2x-5= 8+x

We first find  like terms and solve

2x-x=8+5

We are now left with

x=13 as the answer.

See related question and answer here: https://brainly.com/question/17882257

HELP TIMED----AND NO BOTS WITH /BIT
A segment which goes through two points of a circle is a …
Arc
Chord
Diagonal
Radius
Secant

Answers

a segment which goes through two points of a circle is a Radius

2 Which of the following is true about rhombus LMNO?​

Answers

Rhombus LMNO is shown with its diagonals.

Rhombus L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P. All sides are congruent.

Angle MLO measures 112°. What is the measure of angle MLP?

45°

56°

68°

90°

Step-by-step explanation:

B

Plz help me well mark brainliest if correct....??????????????...

Answers

Answer:

D). 100

Step-by-step explanation:

The range is the highest number-lowest number in data. 150 is the highest, 50 is the lowest. Therefore, 150-50=100

PLEASE HELP GUYS I’m being timed

Answers

The question is the base of the triangle, so we use the formula : b²=c²–a²

——————————————————————

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

[tex] {b}^{2} = \sqrt{ {16}^{2} - {8}^{2} } [/tex]

[tex] {b}^{2} = \sqrt{256 - 64} = \sqrt{192} [/tex]

[tex] \sqrt{192} =8 \sqrt{3} [/tex]

Solve the area
I hate geometry ​

Answers

Answer:

Step-by-step explanation:

Area of a llgm = base * height

Base = 20 ft.

Height = 10 ft.

Area = 20*10 = 200 ft.

Hope it helps u

Please mark as brainliest

Thank You

Answer:

200ft

Step-by-step explanation:

Area of a parallelogram is b*h .

base, b=20ft

height, h= 10ft

Therefore, area= 20*10=200ft

Juan family hang their clothes outside to dry, if they use the dryer, there $400 monthly bill will increase by % wich means it will cost $700

Answers

75%
Hope this helps :D
I can also explain if you need help

Suck please help thanks

Answers

Yea what he said :) :) :) he’s right

what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed

Answers

Answer:

[tex]P(x \le 21) = 0.69146[/tex]

Step-by-step explanation:

The missing parameters are:

[tex]n = 64[/tex] --- population

[tex]\mu = 20[/tex] --- population mean

[tex]\sigma = 16[/tex] -- population standard deviation

Required

[tex]P(x \le 21)[/tex]

First, calculate the sample standard deviation

[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]

[tex]\sigma_x = \frac{16}{\sqrt {64}}[/tex]

[tex]\sigma_x = \frac{16}{8}[/tex]

[tex]\sigma_x = 2[/tex]

Next, calculate the sample mean [tex]\bar_x[/tex]

[tex]\bar x = \mu[/tex]

So:

[tex]\bar x = 20[/tex]

So, we have:

[tex]\sigma_x = 2[/tex]

[tex]\bar x = 20[/tex]

[tex]x = 21[/tex]

Calculate the z score

[tex]x = \frac{x - \mu}{\sigma}[/tex]

[tex]x = \frac{21 - 20}{2}[/tex]

[tex]x = \frac{1}{2}[/tex]

[tex]x = 0.50[/tex]

So, we have:

[tex]P(x \le 21) = P(z \le 0.50)[/tex]

From the z table

[tex]P(z \le 0.50) = 0.69146[/tex]

So:

[tex]P(x \le 21) = 0.69146[/tex]

Suppose that y varies inversely with x, and y= 3 when x = 10.
(a) Write an inverse variation equation that relates x and y.
Equation:
(b) Find y when x = 5
y =

Answers

Answer:

y=6

Step-by-step explanation:

the equation that relates x and y is y=30(1÷x)

Which answers describe the shape below

Answers

Answer:

B. parallelogram

Step-by-step explanation:

stay safe, stay healthy and blessed.

thank u

Answer:

a b c d e

Step-by-step explanation:

Find the equation of the linear relationship.

Answers

Answer:

y = -3x + 150

Step-by-step explanation:

2 points on the graph:

(30, 60) and (40, 30)

Slope:

m=(y2-y1)/(x2-x1)

m=(30 - 60)/(40 - 30)

m= (-30)/10

m= -3

Slope-intercept:

y - y1 = m(x - x1)

y - 60 = -3(x - 30)

y - 60 = -3x + 90

y = -3x + 150

The radius of a cylindrical water tank is 4 ft and its height is 10 ft. What is the volume of the tank?

Answers

Answer:

160π cubic feet

Step-by-step explanation:

V= πr²h

V= π x 4²x 10

V = 160π cubic feet

There is a population of millions of computer chips produced at a factory. The production process is so precious that it is known that the population standard deviation for their mass is 2 milligrams. We want to get a 95% confidence interval for the mass of a single microchip produced here. So we randomly sample 100 microchips. The sample average mass turns out to be 1972 milligrams. They found this by placing them all on a scale at once and finding a mass of 197.2 grams, and then dividing by 100. You don't think they would actually weigh each one individually, do you? That would be super annoying.

Required:
Find a 95% confidence interval for the mass of a microchip produced at this factory.

Answers

Answer:

The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{2}{\sqrt{100}} = 0.392[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 1972 - 0.392 = 1971.608 milligrams

The upper end of the interval is the sample mean added to M. So it is 1972 + 0.392 = 1972.392 milligrams

The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.

Find the length of side b
B= _m

Answers

Answer:

b= 0.09475

Step-by-step explanation:

Precision is a measure of how close an answer is to the actual or expected
value.
True or false ?

Answers

i’m pretty sure it’s true

Answer:

False

Step-by-step explanation:

Precision  describes repeatability.  

Accuracy  describes the closeness of a measurement to the actual value.

 So your measurements may be precise but not accurate; for example if you used a faulty measurement system. And of course, you could get accurate results SOME of the time (which describes the exprerience of most researchers).

Errors in precision are usually detected.........eventually, invariably after you have shot your mouth off to your professor.

Please help me Simplify 1-9÷7+3

Answers

Answer :

the answer is -4/5 or -0.8

step-by-step explanation:

1-9/7+3 = -8/10

now simplify that,

-8/2 = -4

10/2 = 5

so we have -4/5 0r -0.8

Answer:

[tex]1-9\div \:7+3\\9\div \:7\\=\frac{9}{7}\\=1-\frac{9}{7}+3\\=\frac{19}{7}\\\frac{19}{7}\\2\frac{5}{7}\\ans:=2\frac{5}{7}[/tex]

hope this helps you

Determine if these values form a right triangle. E

Answers

Answer:

They do not.

Step-by-step explanation:

a² + b² = c²    c is the hypotenuse

9² + 12² = 17²

81 + 144 = 289

225  ≠  289

The height of the average barn owl is 3 times the height of the average tree swallow. If x is the height of the tree swallow, which expression BEST represents the height of the average barn owl?

x+3

x−3

x×3

x÷3

Answers

Answer:

C; x*3

Step-by-step explanation:

1 out of 5 pairs of Henry's shoes no longer fit him. what fraction of his shoe collection still fit ?​

Answers

the answer is 4/5.

hope this helps!!

Answer:

4/5

Step-by-step explanation:

here ya are. I hope this helps, it's just 1 pair out of the 5 that don't fit. Meaning the 4 out of 5 fit. therefore 4/5

Prodigy
GCA Connect
C Clever | Portal
☆ Member Log
Find the Volume.
10 points
7 m
5 m
4 m

Answers

Answer:

140 m^3 = 7 x 4 x 5

Step-by-step explanation:

Volume = H * W * L

The map slake reads 2 inches =25 miles which distance does 6 inches represent

Answers

Answer:

75 miles

Step-by-step explanation:

Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)

[tex]\frac{25}{2} = \frac{x}{6}[/tex]

Step 2: Divide the given values (Given values are 25 over 2. We are doing this because we need to know the difference between those two figures.)

[tex]\frac{25}{2}\\\\25 \div 2\\\\= 12.5 \:or\: 12\frac{1}{2}[/tex]

Step 3: Multiply the result to the 6 (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)

[tex]12\frac{1}{2}\times6\\\\= 75[/tex]

Therefore, 75 is the distance in miles.

A company's daily cost c, in hundreds of r dollars, to manufacture n items of a certain product can be modeled by the function c^-1(5)=80, Lording to the model, which of the following is the best interpretation of c ^1(5) = 80, where c^1 is the inverse function of c ?
a) The company's daily cost to manufacture 5 items of the product is $80.
b) The company's daily cost to manufacture 5 items of the product is $8,000.
c) The company's daily cost to manufacture 500 items of the product is $80.
d) The company's daily cost to manufacture 80 items of the product is $5.
e) The company's daily cost to manufacture 80 items of the product is $500.

Answers

Answer:

e) The company's daily cost to manufacture 80 items of the product is $500.

Step-by-step explanation:

We have that:

c is the cost in hundreds of dollars to manufacture n items. The input is the number of items, and the output is the cost, in hundreds of dollars.

Inverse function:

In the inverse function, the input and the output are exchanged from the original function, that is, in this situation, the input in the cost, in hundreds of dollars, and the output is the number of manufactured items.

c^-1(5)=80

Input of the inverse function is 5, which is the cost, in hundreds of dollars, that is, $500, to manufacture 800 itens. This means that the correct answer is given by option e.

In a place 100 soldiers had enough food for 60 days .how many soldiers leave the place so that food long last for 80 days

Answers

Answer:

48 soldiers leave the place.

Step-by-step explanation:

100/60=80/x100x=4800x=4800/100x=48

hope it helps.

stay safe healthy and happy.

What is the image of (-1, 1) when reflected across the line y = x?

Answers

Answer:

(1, -1)

Step-by-step explanation:

I can confirm that it is (1, -1)

If the surface area of the cone below is 628.32 m², find its volume.


I WILL MARK BRAINLEIST IF CORRECT AND 20 POINTS

Answers

Answer:

1586.91 m³

Step-by-step explanation:

From the diagram attached,

Applying,

A = πrl.................. Equation 1

Where A = surface area of the cone, l = slight heigth of the cone, π = pie.

make l the subject of the equation,

l = A/πr.............. Equation 2

From the question,

Given: A = 628.32 m², π = 3.14, r = 8 m

Substitite these values into equation 2

l = 628.32/(3.14×8)

l = 25 m

But,

l² = h²+r².................... Equation 3

Where h = height of the cone.

h = √(l²-r²)

h = √(25²-8²)

h = √(625-64)

h = √(561)

h = 23.69 m

Also Applying,

V = 1/3πr²h

Where V = volume of the cone.

Therefore,

V = (3.14×8²×23.69)/3

V = 1586.91 m³

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