Water is leaking out of an inverted conical tank at a rate of 12,500 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate (in cm3/min) at which water is being pumped into the tank. (Round your answer to the nearest integer.)

Answers

Answer 1

Answer:

12500cm x3= 37500

6x3=18

37500+18=37518


Related Questions

Suppose the restaurant’s description of the weights of its hamburgers is true. The dotplot below
shows the distribution of sample means from 100 simulated SRSs of size n = 5 from a normally
distributed population with µ = 8 ounces and σ = 0.54 ounces.
(b) Would it be unusual to get a sample mean of 7.6 oz or less in a sample of size n = 5 from this
population? Explain.
(c) Based on your answer to part (b), is there convincing evidence that the mean weight of
hamburgers at this restaurant is less than 8 oz? Explain.

Answers

Answer:

Step-by-step explanation:

It would be unusual because there are only one 7.6 samples out of a total of 100 samples.

2c=8 and after you have to do subtraction to check​

Answers

Answer:

Whats the question?

Step-by-step explanation:

Twenty-one is greater than the sum of fifteen and two times a number​

Answers

Answer:

21> 2x+ 15

Step-by-step explanation:

The expression is 21 > 15+ 2x

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Twenty-one is greater than the sum of fifteen and two times a number​

let the number be x.

two times a number​ = 2x

and, sum of fifteen and two times a number​ = 15 + 2x

So, Twenty-one is greater than the sum of fifteen and two times a number​

21 > 15+ 2x

Hence, the expression is 21 > 15+ 2x.

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Mona has 160 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area

Answers

see topper. com

Step-by-step explanation:

uyhhghjggg

If i have 2 apples, how many apples would I have if i divided 2 by 7 ( the number of crates the apples are in)

Answers

Answer:

You can't divide 2 by 7 unless you will round and need a decimal because it will equal 0.28571428571 but if you mean 7 divided by 2 then that would get you 3.5

Step-by-step explanation:

How to make 10.74 in two different ways?

Answers

Answer:

Step-by-step explanation:

1074/100

1.074*10

0.1074*10

107.4/10

10740/1000

Which is an irrational number Square root of 21 3 5/8 2.4141414 or -13

Answers

Answer:

i dont know

Step-by-step explanation:

Find the mean, the median and the mode of 12, 13, 9, 8, 8, 7, 6, 8, 10​

Answers

Answer:

if I am not mistaken.. the median would be 9 and the the mean is also 9.

Step-by-step explanation:

first you order the numbers from least to greatest and the find with is the middle number to find the median.

6,7,8,8,8,9,10,12,13 (answer: 9)

To find the mean you will add all of the numbers up and then divide that number by the amount of numbers there are.

1) 6+7+8+8+8+9+10+12+13= 81

2) 81 ÷ 9 =9

Answer:

Mean: 9, Median: 8 Mode: 8

Step-by-step explanation:

MEAN:   The AVERAGE total of all the values divided by the numbers of values.

6 + 7+ 8 + 8 + 8 + 9 + 10 + 12 + 13 = 81        81/9 (set of #'s)= 9

MEDIAN:  The number in the MIDDLE of the list of values.

6, 7, 8, 8, 8, 9, 10, 12, 13         So, the middle value is 8

MODE:   The number that appears the most.

6, 7, 8, 8, 8, 9, 10, 12, 13         So, 8 appears 3 times.

Hope this helps!

1. What is the value of the expression ƒ2 + 8 if ƒ = 7?

Answers

Answer:

f=8/5

Step-by-step explanation:

f*2+=f7

2f+8=f*7

2f+8=7f

2f=7f-8

2f-7f=-8

-5f=-8

Help and the question changes when its wrong

Answers

your answer is : 4x + 2h + 7

Nine bands are to perform at a weekend festival. Suppose you want to determine how many different ways there are to schedule their appearances. Would you use a combination or a permutation?

Answers

Answer:

permutation

Step-by-step explanation:

Analyzing the information in the question above, it is correct to say that it is necessary to use permutation, since the ORDER matters, since there is a need to program the band's appearances.

Permutation can be understood as an arrangement in which n = p, where n is the number of elements in the set and p is the number of available elements.

Therefore, the permutation of nine bands is:

Pn = n!

P9 = 9!

p9 = 362880

At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 21 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon.
Part (a) In words, define the Random Variable X.
the number of fencers that do not use the foil as their main weaponthe different types of weapons the number of fencers at The Fencing Centerthe number of fencers that do use the foil as their main weapon
Part (b) List the values that X may take on.
X = 0, 1, 2, . . ., 60X = 1, 2, 3, . . ., 21 X = 0, 1, 2, . . ., 21X = 1, 2, 3, . . ., 60
Part (c) Give the distribution of X.
X ~
,
Part (d) How many fencers are expected to not use the foil as their main weapon? (Round your answer to the nearest whole number.)
fencers
Part (e) Find the probability that eleven do not use the foil as their main weapon. (Round your answer to four decimal places.)
Part (f) Based on numerical values, would you be surprised if all 21 did not use foil as their main weapon?
Yes. The probability of all 21 fencers not using the foil as their main weapon is small (less than 1%).No. The probability of all 21 fencers not using the foil as their main weapon is large (more than 10%).

Answers

Answer:

A.) the number of fencers that do not use the foil as their main weapon

B.) X : 0, 1, 2, 3,..., 21

C.) X ~ p(X) ; 21 ~ 0.4

D.) 21 ~ 0.4

E.) 0.0895

F.) Yes. The probability of all 21 fencers not using the foil as their main weapon is small (less than 1%)

Step-by-step explanation:

A.) since it is reported that 60% of fencers use the foil as their main weapon ;

The random variable (x) : number of fencers that do not use foil as their main weapon ;

( 100% - 60%) = (1 - 0.6) = 0.4

B.) values that X may take on :

Sample size = 21 ;

X : 0, 1, 2,..., 21

The distribution of X

X ~ B ; X ~ p(X) ; 21 ~ 0.4

Part (d) How many fencers are expected to not use the foil as their main weapon?

X * p(x)

21 * 0.4

= 8.4

= 8 (nearest whole number)

Part (e) Find the probability that eleven do not use the foil as their main weapon.

P(x = 11)

Using the binomial probability relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 11) = 21C11 * 0.4^11 * 0.6^10

P(x = 11) = 0.0895

Part (f) Based on numerical values, would you be surprised if all 21 did not use foil as their main weapon?

P(x = 21) = 21C21 * 0.4^21 * 0.6^0

P(x = 21) = < 0.00001 ( approximately 0)

Hence, based on this very low value which is almost equal to 0 ; it will be surprising if all 21 do not use foil as their main weapon

i will give brainliest if your answer is correct

Answers

Answer:

Faces

Step-by-step explanation:

They both have 5 faces each....

Hope it helps!!!

A curious statistics student cannot get enough statistics, so he decides to analyze the percentage of students sleeping in his statistics class. He discovers that of the 30 students in his class, 47% of the students were asleep at some point during the class period. Assuming the 30 students is less than 10% of all the students taking statistics in his school, and assuming the 30 students in the class were randomly assigned to the class, what model would he use to analyze the percentage of sleeping statistics students

Answers

Answer:

c) N(.47, .09)

Step-by-step explanation:

Options to the question are "a) N(.30, .10), b) N(.30, .09). c) N(.47, .09), d) N(.47, .008), e) N(.30, .008)"

Pο = 47% = 0.47

n = 30

Mean = Pο = 0.47

S.D = Pο(1-Pο) / n

S.D = 0.47 * 0.53 / 30

S.D = 0.09

Thus, the percentage of sleeping statistics of students follows a Normal distribution with mean = 0.47 and S..D = 0.09

Explain the difference between (-5)squared and -5squared.

Answers

Answer:

The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.

what is the lcm for 3/4and 1/2​

Answers

Answer:

1 1/2

Hope that helps!

Step-by-step explanation:

A nursery owner buys 9 panes of glass to fix some damage to the greenhouse. The 9 panes cost ​$19.35. ​Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of​ glass?

Answers

Answer:

$4.30

Step-by-step explanation:

19.35/9 = 2.15 per pane

2.15 x 2 = 4.3

Theodore hired a roofer for some work. on final bill he was charged a total of 642$ .425$ was listed for parts and rest for labor . if the hourly rate was 31$ how many hours of labor was needed ? ​

Answers

Answer:

7 hours

So you so 642-425= 217, then you do 217/31= 7

your answer is 7

For what value of the constant c is the function f continuous on
(−∞,∞) where

f(b) = { cb + 9 if b ≤ 3
c(b)² − 9 if b > 3

Answers

9514 1404 393

Answer:

  c = 3

Step-by-step explanation:

In order for the function to be continuous at b=3, the left and right limits must be the same. In short, we must have ...

  c(3) +9 = c(3²) -9

  18 = 6c . . . . . . . . add 9-3c to both sides

  3 = c . . . . . . . . . . divide by 6

Function f is continuous when c=3.

Liam mixed together quarts of orange juice and quarts of pineapple juice. Then he added quarts of seltzer to make punch. How much more juice than seltzer did Liam use to make punch?

Answers

Answer:

[tex]2\frac{1}{4}[/tex]

Step-by-step explanation:

Question has missing details (See attachment).

Given

[tex]Orange\ Juice = 1\frac{1}{4}quart[/tex]

[tex]Pineapple\ Juice = 2\frac{1}{2}quart[/tex]

[tex]Seltzer = 1\frac{1}{2}quart[/tex]

Required

Determine how much juice than seltzer used.

To do this, we first calculate the total amount of juice

[tex]Juice = Orange + Pineapple[/tex]

[tex]Juice = 1\frac{1}{4} + 2\frac{1}{2}[/tex]

[tex]Juice = \frac{5}{4} + \frac{5}{2}[/tex]

Take LCM

[tex]Juice = \frac{5+10}{4}[/tex]

[tex]Juice = \frac{15}{4}[/tex]

Then subtract the amount of seltzer used.

[tex]Juice - Seltzer = \frac{15}{4}-1\frac{1}{2}[/tex]

[tex]Juice - Seltzer = \frac{15}{4}-\frac{3}{2}[/tex]

Take LCM

[tex]Juice - Seltzer = \frac{15 - 6}{4}[/tex]

[tex]Juice - Seltzer = \frac{9}{4}[/tex]

[tex]Juice - Seltzer = 2\frac{1}{4}[/tex]

The amount of juice used more than seltzer is [tex]2\frac{1}{4}[/tex]

Answer: 3 3/4 quarts

Hope this helps

Please help me if u don’t I will get a bad grade‼️

Answers

Given:

The equation is

[tex]\dfrac{1}{3}x=\dfrac{1}{5}[/tex]

To find:

The coefficient and reciprocal.

Solution:

We have,

[tex]\dfrac{1}{3}x=\dfrac{1}{5}[/tex]

Here, [tex]\dfrac{1}{3}[/tex] is multiplied with x.

So, the coefficient of x is [tex]\dfrac{1}{3}[/tex].

To find the reciprocal, we need to interchange numerator and denominator of a fraction.

So, the reciprocal of [tex]\dfrac{1}{3}[/tex] is [tex]\dfrac{3}{1}=3[/tex]

Therefore, the reciprocal is 3.

One shade of purple paint is made by mixing 2 pints of red and 5 pints of blue paint. Charley has 20 pints of blue paint. How many pints of red paint does he need to make the purple paint?

Answers

Answer:

8 pints

Step-by-step explanation:

Maria invest 16,000 at 9% simple interest for five years. What is the total amount in the account at the end of the five year period

Answers

Answer:
23,200

Explanation:
Use the formula for the amount after simple interest:
A = P(1 + rt)
“A” is the (final) amount.
“P” is the principal, or starting amount.
“r” is the interest rate in decimal form.
“t” is time, usually in years.

We are given the following:
P = 16,000
r = 9% = 0.09
t = 5
We are solving for “A”.

Substitute values for “P”, “r” and “t” into the formula to find “A”.
A = P(1 + rt)
A = 16,000(1 + (0.09)(5))
Simplify brackets first
A = 16,000(1 + 0.45)
A = 16,000(1.45)
A = 23,200

Therefore, the total amount in the account at the end of the five year period is 23,200.

Answer:

23,200

Step-by-step explanation:

A = P(1 + rt)

A = 16,000(1 + (0.09)(5))

Simplify brackets first

A = 16,000(1 + 0.45)

A = 16,000(1.45)

A = 23,200

7.
The expression 25(1.12)m represents a population of spiders after m months. Since a year hus
12 months, 25(1.12)12n represents the population of spiders after n years.
Which expression is approximately equivalent to 25(1.12)1207
A 25(2.44)"
B 25(3.90)"
с 25(13.12)
D 25(13.44)"

Answers

Answer:

C

Step-by-step explanation:

Calculate the scale factor of ALMN to AOPQ. Enter answer as a whole
number or as a fraction in lowest terms, using the slash mark ( 7 ) for the
fraction bar.

Answers

Step-by-step explanation:

the scale factor is 1

1/1

both triangles are similar and the scale factor is 1/1

....................

Estimate 307‾‾‾‾√ between two consecutive whole numbers. Enter the numbers in the boxes below.

Answers

Answer:

17, 18

Step-by-step explanation:

closest perfect square that is lower than 307 is 289

closest perfect square that is greater than 307 is 324

[tex]\sqrt{289} < \sqrt{307} < \sqrt{324}[/tex]

[tex]17<\sqrt{307} <18[/tex]

What is the are a square with a side length of 3x + 4.

Answers

A=side^2
A=3x+4^2
A=3x+4•4
A=3x+16

William was out at a restaurant for dinner when the bill came. His dinner came to $31. After adding in a tip, before tax, he paid $39.99. Find the percent tip.

Answers

Answer: 12.9

Step-by-step explanation: Divide 39.99 by 31.00 you'll get 1.29, but you slide the decimal over and get 12.9

Find the surface area for a sphere with a radius of 10 feet. Round to the nearest whole number.
A.1.256
B.4.189
C.1,089
D.1,568

Answers

Answer:

C is my answer

Thank You

Mark me as Brainilest Answer please ty

1. How many calories are in the smoothie that
contains 51 grams of sugar?

2. How many grams of sugar are in the smoothie
that contains 250 calories?

Answers

Answer:

responde la pregunta tú sólo déjame en paz

The 51 gram of sugar has 204 calorie and there is 62.5 gram of sugar in 250 calories.

What is a Measurement unit?

A measurement unit is a unit to measure certain quantities.

For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.

To find the measurement of a new quantity knows units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.

Solve these problems using the conversion unit for calorie to gram.

(1) 1 gram = 4 calories

Then, 51 grams = 51 × 4

                         = 204 calories

(2) 4 calorie = 1 gram

    1 calorie = 1/4 gram

    250 calorie = 1/4 × 251

                        = 62.5 gram

Hence, smoothie containing 51 gram sugar has 204 calories and in 250 calories of smoothie there is 62.5 gram of sugar.

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