A hemispherical tank is filled with water and has a diameter of 14 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?

Answers

Answer 1

Answer:

[tex]44,826.72\ \text{pounds}[/tex]

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3[/tex]

If water weighs 62.4 pounds per cubic foot, it means

[tex]V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}[/tex]

So, the total weight of the water is [tex]44,826.72\ \text{pounds}[/tex].


Related Questions

Lean ground beef costs $7.25 per pound. Which equation best represents y, the total cost of x pounds of lean ground beef?

a
x = 7.25 + y
b
y = 7.25 + x
c
x = 7.25y
d
y = 7.25x

Answers

ANSWER IS D ! mark brainliest:)

The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.

Given that,

Lean ground beef costs $7.25 per pound.

The total cost of x pounds of lean ground beef.

We have to determine,

The equation which represent y.

According to the question,

Lean ground beef costs $7.25 per pound.

The total cost of x pounds of lean ground beef.

The equation for representation the total cost y of x pounds is written as.

Total cost of pounds = Lean ground beef costs $7.25 per pound × cost of x pounds of lean ground beef.

The equation for total cost of y of x pounds,

y = (7.25).(x)

y = 7.25x

Hence, The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.

For more information about Linear equation click the link given below.

https://brainly.com/question/22272773

A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply the page number by 3 and add 1. She discovers this pattern:

Which would best complete the pattern?
A. 4 x 3 = 12, 4 + 12 = 16, 16
B. 4 x 3 = 12, 12 + 1 = 13, 13
C. 4 x 3 = 12, 12 = 3, 3
D. 4 + 3 = 7, 7 x 3 = 21, 21

Answers

Answer:

B

Step-by-step explanation:

B is the only choice that has both all of the steps, and all of the steps in the right order.

Answer:

21

Step-by-step explanation:

which phrase represents 3-7x

Answers

Answer:

3 less 7x

Step-by-step explanation:

I think soooo

not sure either

Answer: 3 - 7x = D) The difference between three and seven times a number. This expression is known because the words times and difference are your key words. Times means multiplication and difference means subtraction.

The difference between three and seven times a number.

HOPE THIS HELPS

Helpppp pllzzz & thx

In circle B, find x if m A = 3x + 9 and m B = 8x – 4.

Answers

2(3x + 9) = 8x - 4
6x + 18 = 8x - 4
22 = 2x
11 = x

The value of x is 11.

Central Angle Theorem :

It states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.

From given figure,  [tex]A=3x+9,B=8x-4[/tex]

                [tex]\angle B=2\angle A\\\\8x-4=2(3x+9)\\\\8x-4=6x+18\\\\8x-6x=18+4\\\\2x=22\\\\x=22/2=11[/tex]

Learn more about the central angle of circle here:

https://brainly.com/question/3538263

please help me almost done

Answers

Answer:

x = -8

<XCE = 30

Step-by-step explanation:

Remark

In any question like this, there are 8 possible answers. Of the 8, 4 are acute angles and 4 are obtuse. So any pair are either equal to each other, or they are supplementary. In this case the two given angles are equal.

We have a little bit of both in this question.

Solution

3x + 174 = - 7x + 94                  Alternate exterior angles. Add 7x to both sides.

3x+7x +174 = 94                       Combine

10x + 174 = 94                          Subtract 174 from both sides

10x = 94 - 174

10x = - 80                                 Divide by 10

x = - 80/10

x = - 8

===================

Check

3x + 174 = -24 + 174 = 150

-7x + 94 = -7*-8 + 94

-7x + 94 = 56 + 94 = 150

<XCE

<XCE = 180 - (3x + 174)

<XCE = 180 - (-24 + 174)

<XCE = 180 - (150)

<XCE = 30

Find the side lengths asked below:

Answers

Answer:

WZ=

UZ=

Step-by-step explanation:

First, you have to find the x.

3x-6+x+6

Combine like terms

(3x+x) (-6+6)

4x+0

x=4.

WZ=3(4)-6

12-6

6

UZ= (4)+6

10

Plzz help me to find coefficient in binomial theorem (25 points)

Answers

Denote x2 by y.

 

(x2-3)7=(y-3)7

 

This is a binomial expansion in y, and you want the coefficient of y4 because y4=x8

 

You have 7 terms of (y-3) in (y-3)7.  To get the fourth power of y, you need to choose y from four of the terms.  The number of ways you can do this is the combinations of 7 things taken 4 at a time.  This is:

 

7!/(4!3!)=35

So, the coefficient of x8 in the given expansion will be 210.

HOPE IT HELPS

THANK YOU

Romeo paid 380.75 in car repairs the sales tax is 7.5%. What is the total that Romeo has to pay

Answers

Step-by-step explanation:

Answer: $380.75x0.075%=28.55625 28.55625+380.75%-D409.30625 $409.30625 $409.31 Answer: $409.31

While on a business trip to Brookfield, Haley treated her co-workers to a meal that cost $50. Haley knew that when the bill came, she would need to pay Brookfield sales tax of 14% and would want to leave an 18% tip on the original $50. Including tax and tip, how much did Haley's meal cost?

Answers

Answer:

$66

Step-by-step explanation:

The meal cost $50 without taxes.

The cost of tax:

$50*%14= $7

so she will pay a $7 tax

Also, she wants to tip %18 of the original $50 so:

$50*%18= $9

so she will tip $9

$50 + $7 + $9 = $66

What do the interquartile ranges (IQRs) tell you about how the teams race? Explain your thinking.

ILL MARK BRAINLIEST PLS HELPPOP

Answers

Answer:

The medians of all three teams can show the overall skill level of the teams. For example, the medians only vary between 47 and 48. This can show that most team members have around the same experience (since they have around the same median). The red team was the best in terms of time, but they don't vary much from their opposing teams.

Step-by-step explanation:

(Can also add more references to the chart and rank the teams in term of time )

50 points please help!!!

Answers

Answer:

the answer would be B.

Step-by-step explanation:

it's the correct answer

Answer:

A

Step-by-step explanation:

I think you have to divide in these and so 16 ÷ 8 = 2 and 3+3 = 6 for the powers

Which equation represents the pattern in the table?

Answers

you can’t see the pattern in the table, you only took a picture of two of the answer choices

The expression (2x^2)^3 is equivalent to _____. ^this is for to remind that the 2 and 3 are exponents

a.6x2
b.6x5
c.8x6

Answers

Answer:

c

Step-by-step explanation:

(2x²)³ = 2³(x^(2×3))

=2³x⁶

=8x⁶

Simplify the following.
–(32)2

Answers

Answer:

-64

Step-by-step explanation:

If i'm not mistaken and this is times then it is just

-32 times 2

which is -64.

-

Have a wonderful day and best of luck!

PLEASE HELP HOW DO I SOLVE THIS?


12 + 7c = 103

Answers

Answer:

13

Step-by-step explanation:

7c=103-12

7c=91

c=13

Answer:

Step-by-step explanation:

Here you go mate

Step 1

12+7c=103  Equation/Question

Step 2

12+7c=103  Simplify

Step 3

12+7c=103  Subtract 12

7c=91

Step 4

7c=91  Divide both sides

answer

c=13

Hope this helps

Find sin(90°).

45°
A.0
В.1
C. square 2
D. square 2 / 2

Answers

Answer:

sin90° = 1.

Step-by-step explanation:

Using the diagram, we notice that the side opposite of the 90° angle is the hypotenuse itself.

Therefore sin90° = Hypotenuse/Hypotenuse = 1.

5x+y=7
20x+2=y
What does x=?
What doesy=?

Answers

Answer: y = 6 x = 0.2

Step-by-step explanation:

5x+y=7  

20x+2=y

re-write one

5x + y = 7  OR  y = 7 - 5x

substitution

20x + 2 = 7 - 5x

20x + 5x = 7 - 2

25 x = 5

x = 5/25

x = 0.2

now for finding y

y = 7 - 5x

y = 7 - 5(0.2)

y = 7 - 1

y = 6

Twenty years ago, James made a deposit of $13,000.00 into an account. After twenty years, the account had earned $10,400.00 in interest. What simple
interest rate did the account earn?

Answers

Answer:

Use the information given to write an equation in standard form.  

Slope is -3, and (0, -4) is on the line.  

Step-by-step explanation:

6. In Rectangle DEFG DE=7. EF=3 FG = 7, and DG = 3
6
In Rectangle MNOP, MN=7, NO = 3. OP=7, and MP=3
Can Rectangles DEFG and MNOP be classified as similar, congruent
both or neither? Explain

Answers

Answer:

5

Step-by-step explanation:

PLEASE HELP FAST ( i will give brainliest)

Answers

Answer:

Step-by-step explanation:

60+30=90

180-90=90

60+30+90=180

so the x is 90

Answer:

x=3.5 if rounded if not than 3.4

Step-by-step explanation:

Judy's heart beats 70 times a minute. At this rate, how many times does her heart beat in an hour?

Answers

Answer:

4,200 hbph

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

4200 times

Step-by-step explanation:

If there is 70 beats in a minute, and 60 minutes in an hour. All you do is 70*60.

question:
solve the first equation for Y
2x+y=5
2y=2x-8

answer choices:
a) y=-2x+5
b) y=2x+5
c) y=2x-5
d) y=x-4
e) y=2x-8
(i dont understand it help)

Answers

Answer:

(c) y = 2x - 5

Step-by-step explanation:

y=2x+y=5

subtract 2x from both sides of the equation

the answer is C

What is the solution to the system of equations below?
X+ 3y = 15
and 4x+ 2y = 30
O (6,3)
O (3,6)
O (7,-6)
O (-6, 7)

Answers

Answer:

(6,3)

Step-by-step explanation:

Here is the system of equations:

x+3y=15

4x+2y=30

Since we have x with a coefficient of 1 in the first equation, let's use substitution to solve this system.

In the first equation, subtract 3y from  both sides

x=-3y+15

now substitute -3y+15 as x in the second equation, and solve for y

4(-3y+15)+2y=30

do distributive property

-12y+60+2y=30

combine like terms

-10y+60=30

subtract 60 from both sides

-10y=-30

divide by -10

y=3

Now, substitute y as 3 into either one of the equations to solve for x.

For example, let's use x=-3y+15

x=-3(3)+15

multiply

x=-9+15

x=6

The answer is x=6 and y=3. As a point it's (6,3)

Hope this helps!

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

Answers

Answer:

The inequality =

106 - 4x ≥ 70

The number of weeks =

9 weeks

Step-by-step explanation:

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

Let the number of weeks for Casey's dog to lose for 4 pounds be represented as: x

The goal weight = 70 Ibs

Hence:

70 Ibs = 106Ibs - 4Ibs ×x

106 - 4x ≥ 70

4x ≥ 106 - 70

4x ≥ 36

x ≥ 36/4

x ≥ 9 weeks

It would take 9 weeks for Casey's dog to lose 4 pounds per week and weigh 70 Ibs

Therefore:

The inequality =

106 - 4x ≥ 70

The number of weeks =

9 weeks

Jessica deposited $5000 in a simple interest account 4 years ago. She has earned $680 in interest so far. What is the interest rate for this account?

Answers

Answer:

$170

Step-by-step explanation:

every year she got $170 interested

The system of equations has .

Answers

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

Answer:

A System of Equations has two or more equations in one or more variables Many Variables So a System of Equations could have many equations and many variables.

Step-by-step explanation:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

A square was altered so that one side is increased by 9 inches in the other side is decreased by 2 inches. The area of the resulting rectangle is 6o in 2 what was the area of the

Answers

Answer:

area of the original square = 36 in²

Step-by-step explanation:

given data

one side is increased = 9 inches

other side is decreased = 2 inches

area of the resulting rectangle = 60 in²

solution

we consider here x as the length of any one side

and

longer side of the resulting rectangle = x + 9

and

the shorter side x - 2

so that area of this rectangle is (s+9) × (s-2) = 60 in²

standard form of equation is  x² + 7x - 18 = 60   .....................1

it will be

x² + 7x - 78 = 0

(s+13) (s-6) = 0

so that here x  = -13

and  x = 6

here we Discard x = -13 because the side length cannot be negative.

so x = 6

and area of the original square = 36 in²

Which of the following is not a geometric tool?

A.Compass
B.Pen
C.Protractor
D.Set Squares

Answers

Answer:

C. Protractor

Answer:

A

Step-by-step explanation:

A compass is for directions.

Help me please. I'll give Brainliest.

Answers

your picture doesn’t load

Toshеlle wants to take strength training classes at the
community center. She has to pay a one-time enrollment fee of $25 to join the
community center, and then $45 for each class she wants to take. Write an
equation in slope-intercept form for the cost of taking x classes.

Answers

Answer:

I would say y=45x+25

I’m doing the same workbook page

(If this is wrong I’m sorry)

Hope this helps

Have a great day/night

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