HELPPP

The diagram below represents a tower. Given the tower resembles a cone on top of a cylinder, which of
the measures below is the closest to the volume of the tower.
T
10 m
0
100
30 m
10 m
o
2600
2200
9400
10500
Previous

HELPPPThe Diagram Below Represents A Tower. Given The Tower Resembles A Cone On Top Of A Cylinder, Which

Answers

Answer 1

Answer:

the answer must be A as it is the closest, i think its a computer error

Answer 2

Answer:

if the answer wasn't A i would try B since its the next closest answer

Step-by-step explanation:


Related Questions

if alan had bought a figure at a discount of 5%, he would pay $20 less. How much would he pay if he had bought it at a discount of 20%

Answers

Answer:

80

Step-by-step explanation:

5%-->20% is increased by x4, therefore you multiply 20 by 4 which is 80 or you can set an proportion

5/20=20/x5x=400x=80
He would pay $320 at a discount of 20%.
The first step in solving this is hidden in the sentence “discount of 5%, he would pay $20 less”. This informs us that 5% of the price and $20 are the same
Our next step is to find how much 100% of the price is
Multiplying 5 and 20 gets us 100, so multiplying 5% by 20 will get us 100%
We already know that 5% is $20, so we can multiply $20 by 20 to get to 100% percent of the price
(20*20=400)
Now that we know the total price, we can find a discount of any percent. Since we know that a five percent discount will give you $20 dollars off, we can deduce that a 20% discount will give us $80 off.
(20/5=4)
(4*20=80)
(400-80=320!)
Hopefully this helps, if you need me to explain anything again I’ll try my best!

Pls help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!please I’m begging u

Answers

Answer:

7. 36     8. 1     9. 21

Step-by-step explanation:

You plug in the variables in the equation.

7.[tex]5^{2} +-4^{2} = 41[/tex]

8. [tex](5-4)^{2} = 81[/tex]

9. [tex]5+4^{2} =21[/tex]

Answer:

See explanation

Step-by-step explanation:

1. 8^5 = 32768

2. a^6

3. 5^5*9^3 = 2278125

5. (-3)^5 = -243

6. (3/4)³ = 27/64

7. a² + b² = 5² + (-4)² = 25 + 16 = 41

8. (a + b)² = (5 + 4)² = 9² = 81

9. a + b² = 5 + 4² = 5 + 16 = 21

Find the value of x.

Answers

Answer:

D. 15

Step-by-step explanation:

Both equations need the same end result because this is a square:

3x - 15 = 45 - x =

3x - 3x = 45 - x - 3x

0 = 45 - 4x

4x = 60

4x/4 = 60/4 =

X = 15

Check:

3(15) - 15 = 45 - 15

45 - 15 = 45 - 15

30 = 30

The value of x is d 15

A shop sells “Gello” pens and “Inko” pens. A “Gello” pen costs £5 and an “Inko” pen costs £7. One day the shop sold 17 pens and recieved £109. How many of each type of pen were solved? Form a pair of simultaneous equations to solve this question.

Answers

Answer:

5 Gello Pens and 12 Inko Pens.

12 Inko Pens adds up to 84.

5 Gello Pens adds up to 25.

84 + 25 = 109.

I hoped this helped :)

5 hello pens and 12 inko pens

The following frequency table shows the number of hours each of the staff members at Eroy's Electronics slept Thanksgiving night. Find the mean number of hours of sleep.

Answers

Answer:

Mean

=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees

= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1

= 3+0+0+12+7+8/ 1+0+0+2+1+1

= 30 / 5

= 6

So the mean of number of hour sleep is 6 hours.

I hope this helps

if u have question let me know in comments ^_^

Answer:

Step-by-step explanation:

Mean

=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees

= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1

= 3+0+0+12+7+8/ 1+0+0+2+1+1

= 30 / 5

= 6

So the mean of number of hour sleep is 6 hours.

I hope this helps

How would I solve this question? y = -1 1/8 - 7/8x -4x + 9y = -22 x = ?, y = ?

Answers

Is this two separate equations?
i think y is 7.75 or 7 3/4

calculate the size of angle x. the sides are 8cm, 11cm and 15cm

Answers

Answer:19.93

Step-by-step explanation:

11 x 8 x 15 = 1320

then u would simplify

The value is: angle x is approximately 103.95 degrees.

Here, we have,

To calculate the size of angle x, you can use the Law of Cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.

In this case, the sides of the triangle are given as follows:

a = 8 cm (adjacent to angle x)

b = 11 cm (opposite to angle x)

c = 15 cm (hypotenuse)

The Law of Cosines states:

c² = a²+ b² - 2ab*cos(x)

Substituting the given values:

15² = 8² + 11² - 2(8)(11)*cos(x)

225 = 64 + 121 - 176*cos(x)

Simplifying:

225 = 185 - 176*cos(x)

Rearranging the equation:

176cos(x) = 185 - 225

176cos(x) = -40

Now, divide both sides by 176 to isolate the cosine term:

cos(x) = -40/176

cos(x) ≈ -0.2273

To find the value of angle x, take the inverse cosine (cos⁻¹) of -0.2273:

x ≈ cos⁻¹(-0.2273)

x ≈ 103.95 degrees

Therefore, angle x is approximately 103.95 degrees.

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-32= -7n-12+3n please help thanks

Answers

Answer:

5

Step-by-step explanation:

-32=-7n-12+3n

-32=-7n+3n-12

-32=-4n-12

-4n=-32+12

-4n=-20

n=-20/-4

n=5

Answer:

[tex]n=5[/tex]

Step-by-step explanation:

[tex]-32=-7n-12+3n\\\text{Combine Like Terms}\\-32=-7n+3n-12\\-32=-4n-12\\\text{Isolate the Variable}\\-32+12=-4n-12+12\\-20=-4n\\\text{Divide each side by -4}\\n=5[/tex]

Rearrange the tiles so that it shows the proper steps of solving this quadratic equation using square property

Answers

Answer:

see explanation

Step-by-step explanation:

Given

(x + 2)² = 25 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{25}[/tex] ← Step 1

x + 2 = ± 5 ← Step 2 ( subtract 2 from both sides )

x = - 2 ± 5 ← Step 3

Residence of us in the version of nighttime is my was very very good night of the times that I will never been in before and I never meant for five minimum and I have a number for a cop to see if we find the tape. Hope that is the answer

Please help me! There is graph an I out them as pictures!

Answers

First one:
A: (1 , 2)
B: (-0.5 , 1)
C: ( 0.5 , 1)
Second one:
A: (-1, 2)
B: (0.5, 1)
C: (0.5 , -1)
first graph
a: (1, 2)
b: (-0.5, 1)
c: (0.5, 1)

second graph
a: (-1, 2)
b: (0.5, 1)
c: (0.5, -1)

The number of oranges that Joe has is a multiple of 6. When he sells one orange, the number of oranges is a multiple of n. If n is a positive integer less than 10, how many possible values are there for n?

Answers

Answer:

2

Step-by-step explanation:

The number of oranges he has is a multiple of 6, so the number can be

6, 12, 18, 24, 30, 36, 42, 48, 54, etc.

He sells one orange, so now he an have:

5, 11, 17, 23, 29, 35, 41, 47, 53, etc.

All numbers above up to 53 are multiples of 1, so n can be 1.

Also 5 and 35 are multiples of 5, so n can be 5.

All numbers other than 5 and 35 are prime.

Answer: 2

2 is the correct answer!

What is the volume of the right triangular prism shown?

Answers

Answer:

C. 567yd^3

Step-by-step explanation:

To find the volume of the right triangular prism, it is: 1/2a c h.

In this case, 1/2✖️9✖️6✖️21=567yd^3

So this means that option C is the correct answer.

Hope this helps!

Have a nice day:)

Answer:

567 cu. yard

Step-by-step explanation:

will make it simple and short.

Vol = area of a triangle x length

Vol = (1/2 * 6 * 9 ) * 21

Vol = 567 cu. yard

The area of a rectangle is 36 square centimeters. Give all possible whole-number dimensions of the rectangle. Which rectangle has the greatest perimeter?​

Answers

Answer:

ALL POSSIBLE DIMENSIONS OF THE RECTANGLE (whole numbers):

1 cm and 36 cm (Perimeter = 74 cm)

2 cm and 18 cm (Perimeter = 40 cm)

3 cm and 12 cm (Perimeter = 30 )

4 cm and 9 cm (Perimeter = 26)

6 cm and 6 cm Perimeter= 24 (squares are also considered rectangles, this is a square because of equal sides)

The rectangle with the greatest perimeter consists of the dimensions 1 cm and 36 cm.

EXPLANATION:

I listed all possible factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

And have come up with 5 possible dimensions with numbers from the listed factors above (when the dimensions of each rectangle are multiplied the result will be 36/the area)

Multiplication is used because the area of a rectangle is length x width

And I used the formula for perimeter:

2 (l + w)

And found the greatest perimeter (74 cm) that belongs to the rectangle with the dimensions 36 cm and 1 cm.

Basically all the factors you can think of can act as dimensions

Find an equation of the line with the slope m= 3 that passes through the point (2,2). Write the equation in the form Ax+By = C.

Answers

Answer:

[tex]y = 3x-4[/tex]

Step-by-step explanation:

We know that if we were to write an equation with the slope of 3, it would be [tex]y=kx[/tex], where k is the constant (in this case 3.)

So right now, we have [tex]y=3x[/tex].

However, this will not pass through the point (2,2). To do this, we need to add a y-intercept in which (2,2) will be crossed through.

If we have a y-intercept of -4, the points will be:

(0, -4)

(1, -1)

(2, 2)

So our final equation is [tex]y = 3x-4[/tex].

Hope this helped!

Answer: 3x-1y=4 in Ax+By=C form

Step-by-step explanation:

the intercept form is y=3x-4

subracting 3x from both sides would get  -3x+y=-4

distributing -(-3x+y=-4) would get 3x-y=4.

help me please real quick​

Answers

D) 360.

Volume of cuboid = L x b x h = 8 x 5 x 9 = 360.

Answer:

D) [tex]360 m^{3}[/tex]

Step-by-step explanation:

Let's review the formula for finding the volume of a cube or rectangular prism.

[tex]V = (l)(h)(w)[/tex] - Basically saying "Volume = length × height × width".

In this case, you can consider 9 meters as the length, 5 meters as the height, and 8 meters as the width (but it doesn't really matter which dimensions are which since you are just multiplying them all together).

Now, let's multiply our dimensions together.

[tex]9 * 5 * 8 = 360[/tex]

That's your answer! Make sure to not forget your units (in this case, meters) cubed.

Hope that helps and maybe earns a brainliest!

Have a splendid day! <3

Which equation represents an ellipse with foci at (3, 2) and (-9, 2)
that passes through the point (-3, 10)?

Answers

Answer:

D, since it horizontal ellipse, a is greater than b

An ellipse has two foci. The correct option is D.

What is the equation of ellipse if its major and minor axis and centre are given?

Suppose that the major axis is of the length 2a units and that the minor axis is of 2b units, and let the ellipse is centred on (h,k) with a major ellipse parallel to the x-axis, then the equation of that ellipse would be:

[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]

Coordinates of its foci would be:    (h±c, k) where    c² = a² - b²

If its major axis is parallel to the y-axis, then,

coordinates of its foci would be:  (h, k±c) where   c² = a² - b² and its equation would be:

[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1[/tex]

Given the foci at (3, 2) and (-9, 2) that pass through the point (-3, 10), therefore, the equation of the ellipse will be,

[tex]\dfrac{\left(x+3\right)^{2}}{100}+\dfrac{\left(y-2\right)^{2}}{64}=1[/tex]

Hence, the correct option is D.

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In which pair do both decimals represent rational numbers?

A. 0.397 and 0.8999...
B. 2.28182845904523536... and 0.8999
C. 9.1426535893793238... and 0.397
D. 9.1426535893793238... and 0.8999...

Answers

Answer:

Option b

step by step explanation:

Answer:

Option (A)

Step-by-step explanation:

0.296 and 0.9888 is correct because rational no are terminating and repeating ..

what is -4 as a fraction

Answers

Answer:

-4/1

Step-by-step explanation: whenever you have a whole number you just put a 1 as the denominator to make it a fraction.

The answer should be -2/5

Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.


A) reflect triangle a across the y-axis and then translate triangle a 5 units down.  B) reflect triangle A across the x-axis and then reflect triangle a across the y-axis.  
C) translate triangle a 4 units down and then rotate triangle A 180° counterclockwise about the origin. 
D) reflect triangle a across the x-axis and then rotate triangle A 90° counterclockwise about the origin

Answers

Honestly I’m not for sure but I’m think it’s either a or b

The triangle is shifted 4 units downwards and then is rotated about the origin.

What is image rotation?A rotation is a type of transformation which is a turn.A figure can be turned clockwise or counterclockwise on the coordinate plane.In both transformations the size 3 shape of the figure stays exactly the same.

Given are triangles A and B.

Transformation 1 : The triangle is shifted 4 units downwards.

Transformation 2 : The figure is rotated about the origin.

Therefore, the triangle is shifted 4 units downwards and then is rotated about the origin.

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hey im sry if im asking to many questions i really want help

Answers

Answer:

V= 6,000 cm^3

Step-by-step explanation:

(15*20*10) + (10*20*15)

3000 + 3000

6000 cm^3

Answer:

6000 cm³

Step-by-step explanation:

20 * 10 * 15 + (20 * 10 * 15) = 6000 cm³

If you apply the changes below to the absolute value parent function, f(x)=x, what is the equation of the new function? Shift 2 units to the right shift 3 units down

Answers

Answer:

f(x) = Ix - 2I -3

Step-by-step explanation:

f(x) = IxI

f(x) = Ix - 2I -3

The equation is f(x) = | x – 2 | + 3 Then the vertex of the absolute function will be at (2, 3).

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

If you apply the changes below to the absolute value parent function

f(x) = |x|

Then the equation of the new function will be

Shift 2 units to the right, shift 3 units down

f(x) = | x – 2 | + 3

Then the vertex of the absolute function will be at (2, 3).

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**TIMED** I REALLY NEED HELP

Answers

Answer:

24 students

Step-by-step explanation:

(20 + 23 + 25 + 28)/4

= 94/4

= 24

hope it helps!

The answer is 24 students

2. Evaluate the polynomial two ways: by substituting in the given
value of x, and by using long division.
Find P(-3)for P(x)= 4x2 +10x - 8.

Answers

Answer:

  P(-3) = -2

Step-by-step explanation:

Substitution

P(-3) = 4(-3)^2 +10(-3) -8 = 36 -30 -8

P(-3) = -2

__

Long Division

See the working below. The remainder is -2, so ...

  P(-3) = -2

P(-3) = -2 i think that’s what it’s keeps giving me

Name five fractions whose values are between 1/8 and 1/5

Answers

The answer is 1/8 bc thats the anwser i got

The five fractions whose values are between 1/8 and 1/5 will be 13/100, 7/50, 3/20, 4/25, and 9/50.

What is a number line?

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The fraction numbers are given below.

1/8 and 1/5

Convert the fraction number into decimal numbers. Then we have

0.125 and 0.20

The five fractions whose values are between 1/8 and 1/5 will be given as,

0.13, 0.14, 0.15, 0.16, 0.18

13/100, 14/100, 15/100, 16/100, 18/100

13/100, 7/50, 3/20, 4/25, 9/50

The five fractions whose values are between 1/8 and 1/5 will be 13/100, 7/50, 3/20, 4/25, and 9/50.

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please help
a(8x + 2y) = 8ax +

Answers


a(8x + 2y) = 8x

Answer x=-2/0

The number of radians in a 720-degree angle can be
written as an, where a is a constant. What is the
value of a ?

Answers

Answer:

a=4

Step-by-step explanation:

When going from degrees to radians, 180 degrees is always going to equal π radians

That means 2π would be 360 degrees, and 4π would be 720

And since we're trying to find a in aπ when it's a 720 degree angle, we can conclude that a=4

Answer:

4

Step-by-step explanation:

We know that:

π rad= 180°

Then:

720° = 4*180° = 4π radian

The value of a:

4π = aπ ⇒ a= 4

Machine A can fill 1 box of nails in 6 minutes. Machine B can fill 1 box of nails in 9 minutes. They started to work at the same time and they stopped also at the same time. In all they filled 100 boxes. How many were filled by machine A?

Answers

A-

1 box --- 6 minutes

y boxes --- 1 minute

y = 1/6

B-

1 box --- 9 minutes

t boxes --- 1 minute

t = 1/9

So...

r - used time

r(1/9 + 1/6)=100

r=(100.18)/5

r= 360 minutes

1/6 . 360 = 60 boxes

answer: 60 boxes

In total, machine A filled 66 boxes, and machine B filled 66 boxes, resulting in a total of 100 boxes filled.

Let's use the concept of the rate of work to solve this problem. The rate of work is the amount of work done per unit of time.

Machine A's rate of work is 1 box of nails every 6 minutes.

Machine B's rate of work is 1 box of nails every 9 minutes.

Let's assume that machine A filled x boxes, and machine B filled y boxes. Since they worked for the same amount of time, the total number of boxes filled by both machines is 100.

So, the equation representing the total work is:

x (boxes filled by A) + y (boxes filled by B) = 100

Now, let's use their rates of work to form two more equations:

Rate of work of A = 1 box every 6 minutes

Rate of work of B = 1 box every 9 minutes

Since work = rate × time, we can write two equations:

x (boxes filled by A) = (1/6) * t (time in minutes)

y (boxes filled by B) = (1/9) * t (time in minutes)

Since they both worked for the same time, we can set the time for both machines as equal:

t = t

Now, we have a system of equations:

x + y = 100

x/6 = y/9

t = t

Let's solve the system of equations. We can start by substituting the value of y from the second equation into the first equation:

x + (x/6)*3 = 100

x + (x/2) = 100

Multiply both sides by 2 to eliminate the fraction:

2x + x = 200

3x = 200

x = 200/3

Now, let's find the value of y using the second equation:

y = (x/6)*3

y = (200/3)/6 * 3

y = 200/3

So, machine A filled 200/3 boxes of nails, which is approximately 66.67 boxes.

Machine B filled 200/3 boxes of nails, which is also approximately 66.67 boxes.

Since they cannot fill a fraction of a box, we can distribute the remaining 2/3 box between machine A and machine B, giving one extra box to each.

In total, machine A filled 66 boxes, and machine B filled 66 boxes, resulting in a total of 100 boxes filled.

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Calculate the area of the circle to the nearest hundredth of a square unit. Approximate as 3.14. a. 124.63 cm 2 b. 124.6 cm 2 c. 39.56 cm 2 d.19.78 cm 2

Answers

Answer:

[tex]124.63[/tex]

Step-by-step explanation:

[tex]a = \pi \times r {}^{2} = \pi \times (6.3) {}^{2} = \pi \times 39.69[/tex]

[tex]\pi \times 39.6 = 3.14 \times 39.69 = 124.63[/tex]

Hope this helps ;) ❤️❤️❤️

The area of circle will be;

⇒ 124.63 cm²

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The radius of circle = 6.3 cm

Now,

Since, The radius of circle = 6.3 cm

We know that;

Area of circle = π r²

Hence, We get;

⇒ Area of circle = 3.14 × 6.3²

                         = 3.14 × 39.69

                         = 124.63 cm²

Thus, The area of circle will be;

⇒ 124.63 cm²

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On a certain map, 3 inches represents 15 miles. Briarwood and Middletown are 5 inches apart on the map. What is the actual distance between Briarwood and Middletown? A. 25 mi B. 30 mi C. 50 mi D. 75 mi

Answers

Answer:

i think the answer is a. 25

There, hope it helps :)

Which mean the same as 60%? Check all that apply

a.3/5
b. 0.06
c. 0.60
d. 6/10
e. 6/100

Answers

Answer: c ; d ; a

step by step explanation:

3/5 can be 60%. Why? If you multiply 20 with 5 and 3, it would be 60/100. It is basically the same thing as 69%.

0.60 is the same as 60% because if you made it into a fraction, it would become 60/100. In result, 60%.

6/10 is the same as 60% because if you multiplied both numbers by 10, it would be 60/100. And again, it would become 60%.

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PLEAS EHELP URGENT!What is a downside of nonprofit fitness centers?Very few people live near a nonprofit fitness center.Very few people live near a nonprofit fitness center. , ,Members tend to be wealthy and lack diversity. Members tend to be wealthy and lack diversity. , ,Membership costs more than it does in for-profit centers.Membership costs more than it does in for-profit centers. , ,They offer fewer luxury services than for-profit health centers 5.If A, B and C are any three points on a line and B lies between A and C, then prove that AB + BC = AC. Em um posto de combustvel, o litro da gasolina estava custando R$2,40.Um cliente gastou R$72,00 para encher o tanque de seu carro. O valor do litro da gasolina sofreu 2 aumentos sucessivos,ambos de 10%. Quando o mesmo cliente gastara para encher o tanque do seu carro, aps esees aumentos The Brooklyn Burn is a small company that makes and sells hot sauces. The profit that TheBrooklyn Burn makes in a month from its Buckingham Burn" hot sauce can be measured usingthe following function:y=6x - 200where x is the number of bottles of "Buckingham Burn" hotsauce sold, and y is the profit in dollars for the month.Using this function and its context involving sales of hotsauce), describe the meaning of the numbers shown in thetable at the right.150700 Millie withdraws $1,000 from her checking account so she can have $1,000 in cash. If no other changes occur, M1 will Using the GCF and distributive property, which expressions is equivalent (equal) to 12y + 16A 2(6y + 80)B 4(3y + 4)C 28yD 16 + 12y Janet has 12 more cookies than Cody. If Janet has 60 cookies, write and solve to determine the number of cookies Cody has. A 9-year-old girl presents with a sore throat. The parents state that she began a fever a few days ago, reporting that her throat hurt. On physical exam, you note a red throat, a red and beefy tongue, tonsillar exudates, and swollen anterior cervical lymph nodes. The parents report a history of a severe anaphylactic reaction to penicillin.What antibiotic would treat this infection while minimizing the risk of invoking an allergic reaction?1 Augmentin2 Cephalexin (Keflex)3 Ciprofloxacin4 Mupirocin (Bactroban)5 Erythromycin Please help with this question!!!!! 10) Find three numbers whose product is -72. You may use integers from -10 to 10. Give twoexamples A basin is filled by two pipes in 12 minutes and 16 minutes respectively. Due to the obstruction of water flow after the two pipes have been running together for some time, the 1st pipe carries 7/8 of the carrying capacity and the 2nd pipe carries 5/6 of the carrying capacity. After removing the water barrier, the tank is full in 3 minutes. How long after the flow of water in the two pipes became normal? pryor frosted flakes company offers its customers a pottery cereal bowl if they send in 4 boxtops from flakes boxes and $1.00. The company estimates that 60% of the boxtops will be redeemed. In 2007, the company sold 500,000 boxes and costumers redeemed 220,000 boxtops receiving 55,000 bowls. if the bowls cost 2.50 each, how much liabilitiy for outstanding premiums should be recorded at the end od 2007? a person has 2 balls, a second one had (2)^2 = 4 balls, a third had (4)^2 = 16, if it continues the same way, how many balls will the tenth person have?Wll mark brainliest whoever answers it satisfactorily! The following labor standards have been established for a particular product: Standard labor-hours per unit of output 9.8 hours Standard labor rate $13.60 per hour The following data pertain to operations concerning the product for the last month: Actual hours worked 7,600 hours Actual total labor cost $100,320 Actual output 950 units What is the labor efficiency variance for the month? Please help me Write a 1-3 sentence summary that highlights the key point of this fact below Fact #2: Abraham Lincoln was the President of the United States during the Civil War. Abraham Lincoln grew up in a log cabin in Kentucky. He worked as a shopkeeperand a lawyer before entering politics in the 1840s. Alarmed by his anti-slavery stance, the southern states seceded soon after he was elected president in1860. Lincoln declared that he would do everything necessary to keep the United States united as one country. He refused to recognize the southern states as an independent nation and the Civil War erupted in the spring of 1861. On January 1,1863, Lincoln issued the Emancipation Proclamation, which freed the slaves in the southern states and laid the groundwork for slaves to eventually be freed across the country. He narrowly won re-election in 1864 against opponents who wanted to sign a peace treaty with the southern states. On April 14, 1865, Lincoln was assassinated by John Wilkes Booth, a southern sympathizer. Fact file of tariq bin ziyad and Muhammad bin qasim