4. Paolo is filling a cylindrical water bottle. Unfortunately it is too big to fit in the sink he is filling up at so he has to use cone cups to fill up the bigger water bottle. The cone cups have a radius of 1 in, and a height of 3 in. how many cone cups would it take to fill the cylindrical water bottle?​

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, we need to be given the dimensions of the big cylindrical water bottle. Let us assume, that the big bottles has a dimension of radius 3 in and height 5 in.

Solution:

Firstly, we need to find the volume of the big cylindrical bottle, then we find the volume of the small cone.

Volume of the cylindrical bottle = πr²h = π(3²)5 = 45π in³

Volume of the small cone = πr²h/3 = π(1²)(3/3) = π in³

Therefore the number if cups required to fill the water bottle is the ratio of the volume of the cylinder to the volume of the small cone. Hence:

number of cone cups = 45π in³ / π in³ = 45 cups

Hence 45 cups of the cone would be needed to fill the cylindrical bottle


Related Questions

PLEASE HELP!!!!1!1!1! suppose one particular pyramid in egypt has a square base of side length 280 meters and a perpendicular height of 144 meters what is the surgace area of the pyramid?

Answers

Answer:

Pyramid Surface Area = .5 * Perim of Base * Slant Height

Slant Height^2 = 144^2 + 140^2

Slant Height^2 = 20,736 + 19,600

Slant Height^2 = 40,336

Slant Height = 200.8382433701

Surface Area = .5 * perim of base * slant height

Surface Area = .5 * 1,200 * 200.8382433701

Surface Area = 120,503 square meters

Source = www.1728.org/volpyrmd.com

Step-by-step explanation:

Select the correct answer from each drop down menu. The square root of 15 look at image

Answers

Answer:

a=15

b=7

c=4

Step-by-step explanation:

[tex]\sqrt[4]{15^{7} } = 15^{\frac{7}{4} }[/tex]

PLEASE I NEED HELP

SSS
AAS
NOT CONGRUENT
SAS
ASA​

Answers

SAS IS YOUR ANSWER!

HOPE THISE HELPS

Which expression is equivalent to 128?


Answers

Answer: 2^3 x 2^4

Step-by-step explanation:

The value of the exponential expression is A = 2³.2⁴ = 128

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the value of the exponential equation be A

Now , the first expression is p = 2³

The value of p = 8

Now , the second expression is q = 2⁴

The value of q = 16

From the laws of exponents , we get

p.q = 2³.2⁴ = 2³⁺⁴

The value of A = 2⁷ = 128

Hence , the exponential equation is 2⁷ = 128

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A community organization wants to determine area support for the construction of a new skate park in the center of town. The organization decides to survey 500 people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park. What is the best way to randomly choose these 500 people? O Select the first 500 taxpayers listed at the town hall. O Survey the first 500 people who visit the existing skate park. O Assign each taxpayer in town a number and then randomly select 500 of these numbers. O Choose 100 taxpayers from 5 different age groups in town.
PLEASE HELP!!!!​

Answers

Answer:  I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'

Step-by-step explanation: Happy Pride Month!!

Compound Interest: You deposit $100 in an account that earns 3% annual interest compounded continuously. How long does it take the balance to reach the following amounts? (A = Pe^(rt). NO LINKS
a. $110
b. $150
c. $200

Answers

9514 1404 393

Answer:

  a) 3.18 years

  b) 13.52 years

  c) 23.10 years

Step-by-step explanation:

Solving for t, we find ...

  A = Pe^(rt)

  A/P = e^(rt)

  ln(A/P) = rt

  t = ln(A/P)/r

For P=100 and r=.03, the times are ...

a. $110: t = ln(110/100)/.03 ≈ 3.18 years

b. $150: t = ln(150/100)/.03 ≈ 13.52 years

c. $200: t = ln(200/100)/.03 ≈ 23.10 years

A lock has a 3-number code made up of 15 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?

Answers

Answer:2730

Step-by-step explanation:

The number of ways we can choose three different numbers in order for a unique code for this case is 2730

How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

Given that:

The considered lock as a 3 number codeThere are 15 numbers available.None of the number can repeat.

In a lock, the order of the way numbers are arranged matters.

Because of no repetition allowed, we can simulate this situation as:

The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.

And we have:

The number of ways we can choose 3 numbers out of 15 numbers with order = [tex]^{15}P_3 = \dfrac{15!}{(15-3)!} = \dfrac{15 \times 14 \times 13 \times 12!}{12!} = 2730[/tex]

Thus, the number of ways we can choose three different numbers in order for a unique code for this case is 2730

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ILL GIVE BRAINLIEST PLSSSS HELP BASICALLY EVERYTHING IS IN THE PICTURE IF YOU ANSWER THIS WRONG OR PUT RANDOM WORDS OR A LINK I WILL REPORT YOU FASTER THAN THIS IS DUE ​

Answers

Hi I think the answer would be B
If you add up all the numbers it equals 50 and then add football and tennis together that equals 13, and then you have to divide 13/50 which equals 0.26 (26%)
SOMEONE ALREADY ANSWERED BUT “ i will report you faster than this is due “ AOSJDJD IM CRYING

5.
Which value of x would satisfy this inequality?
V3
4
2
A А.
С
D
000
4
10

Answers

Answer:

C) 4/5

Step-by-step explanation:

pi/4 = 0.7853981634

[tex]\frac{\sqrt{3} }{2}[/tex] = 0.8660254038

3/4 = 0.75. It's less than pi/4, so not correct

9/10 = 0.9. It's more than 0.866, so not correct

4/5 = 0.8. It's right for both condition

8/9 = 0.888. It's more than 0.866, so not correct.

volume of a cube with side length of 5.2 cm.

Answers

Answer:

140.608

Step-by-step explanation:

The answer is 140.608

using a positive and negative integer, write an addition expression that equals -9​

Answers

Answer:

-13 + 4

Step-by-step explanation:

For the sum to be negative, the absolute value of the negative integer has to be 9 more than the positive integer. There are an infinite number of equations, but here is one:

-13 + 4

Can someone help a friend

Answers

Answer:

acute triangle

Step-by-step explanation

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZZZ

what is the first step to solving this equation?
-5+6=4
a. subtract 6 from both sides
b. multiply both sides by 5
c. divide both sides by -5
d. add 6 to both sides

Answers

Answer:

a. subtract 6 from both sides

Step-by-step explanation:

Given the algebraic expression;

-5c + 6 = 4

First of all, we would subtract 6 from both sides. This would eliminate the "6" on the left side.

-6 - 5c + 6 = 4 - 6

-5c = -2

5c = 2

Dividing both sides by 5, we have;

c = 2/5

what is the x in x/5 +1 = 7

Answers

X=30 and I know because 30 divided by 5 is 6 plus 1 equals 7

The polynomial f(x) is written in factored form:
f(x) = (x - 6)(x + 5)(x - 9)
What are the zeros of the polynomial function?
O x = 6, x = -5, X = 9
O x = 6, X = 5, X = 9
Ox= -6, X = 5, x = -9
Ox= -6, X = 6, X = -5, x= 5, X = -9, x = 9
15points please help

Answers

Answer:The zeros are 6, -5, 9

Step-by-step explanation:

The zeros of the polynomial function are x = 6, x = -5, and x = 9. The correct option is A.

What are polynomials?

In mathematics, a polynomial is an expression that solely uses the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables. It is made up of coefficients and indeterminates.

The zeros of the polynomial function are the values of x that make f(x) equal to zero.

The polynomial f(x) is written in factored form as:

f(x) = (x - 6)(x + 5)(x - 9)

The zeros of the polynomial are the values of x that make any of the factors equal to zero. Therefore, the zeros are:

x - 6 = 0, which gives x = 6

x + 5 = 0, which gives x = -5

x - 9 = 0, which gives x = 9

Thus, the zeros of the polynomial function are x = 6, x = -5, and x = 9.

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What is equivalent to 3^-5

Answers

Answer:

The answer is the choose: (D)

[tex] {3}^{ - 5} = \frac{1}{ {3}^{5} } [/tex]

At the city Museum child admission is $6.40 in adult admission is $9.70 on Sunday 149 tickets were sold for a total sales of $1145 how many adult tickets were sold that day

Answers

Answer:

Adult=58

Step-by-step explanation:

c=child, a=adult

6.4c+9.7a=1145 equation 1

c+a=149 equation 2

a=149-c modified equation 2 to isolate a

6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2

6.4c+1445.3-9.7c=1145

-3.3c=-300.3

c=91

solve for a

c+a=149

91+a=149

a=58

Check answer:

6.4c+9.7a=1145

6.4(91)+9.7(58)=1145

582.40+562.60=1145

1145=1145

2 5/6 times 8 as a mixed number.

Answers

Answer:

lets make it an improper fraction:

17/6 x 8/1(consider 8 over 1) = 22 2/3

Simplify first though

17 x 8 divide by 2 = 4

_____

    6 divide by 2 = 3 (8 and 6 are divisible by 2)

Your new simplified multiplication:

17 x 4

_____ then you can do your multiplication across.

   3

Suppose that documentation lists the average sales price of a single-family home in the metropolitan Dallas/Ft. Worth/Irving, Texas, area as $213,200. The average home price in Orlando, Florida, is listed as $198,000. The mean of a random sample of 43 homes in the Texas metroplex was $217,800 with a population standard deviation of $30,300. In the Orlando, Florida, area a sample of 35 homes had a mean price of $204,700 with a population standard deviation of $33,800. At the 0.05 level of significance, can it be concluded that the mean price in Dallas exceeds the mean price in Orlando

Answers

Answer:

"0.0373" seems to be the appropriate solution.

Step-by-step explanation:

The given values are:

n₁ = 43

n₂ = 35

[tex]\bar{x_1}=217800[/tex]

[tex]\bar{x_2}=204700[/tex]

[tex]\sigma_1=30300[/tex]

[tex]\sigma_2=33800[/tex]

Now,

The test statistic will be:

⇒  [tex]Z=\frac{\bar{x_1}-\bar{x_2}}\sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }[/tex]

On substituting the given values in the above formula, we get

⇒      [tex]=\frac{217800-204400}{\sqrt{\frac{(30300)^2}{43} +\frac{(33800)^2}{35} } }[/tex]

⇒      [tex]=\frac{217800-204400}{\sqrt{\frac{918090000}{43} +\frac{1142440000}{35} } }[/tex]

⇒      [tex]=\frac{13400}{7347.93}[/tex]

⇒      [tex]=1.7828[/tex]

then,

P-value will be:

=  [tex]P(Z>1.7828)[/tex]

=  [tex]0.0373[/tex]

Work out the mean for the data set below: 5, 6 Give your answer as a decimal.

Answers

Answer:

5.5

Step-by-step explanation:

5 + 6 =

11 / 2 =

5.5

Write an inequality for the graph

Answers

The open circle means the inequality will be greater than or equal to (≥) or less than or equal to (≤).
A closed circle means the inequality will be greater than (>) or less than (<)

An arrow pointing right to increasingly positive values means the inequality is getting greater (> or ≥)
A narrowing pointing left to increasingly negative values means the inequality is getting lesser (< or ≤)

So for this graph with an open circle and rightward pointing arrow, “x” will be some number on the number line greater than the first point of -38:
x > -38

pls help and stay tuned bcs their will be more questions bcs i just not that smart
._.

Answers

Answer:

I beileve it is Y.

Step-by-step explanation:

Fred has a jug that contains
750 milliliters of milk. How many
liters of milk are in the jug?

Answers

Answer:

.75 liters

Step-by-step explanation:

add a decimal point at the end of 750 and move it 3 places to the left because mili is one thousandth of a liter

The following data describes weekly gross revenue (), television advertising expenditures (), and newspaper advertising expenditures () for Showtime Movie Theaters.

Weekly Gross Revenue ($1000s) Televison Advertising ($1000s) Newspaper Advertising ($1000s)
98 5 1.5
90 2 2
95 4 1.5
92 2.5 2.5
95 3 3.3
94 3.5 2.3
94 2.5 4.2
94 3 2.5

Required:
Find an estimated regression equation relating weekdy gross revenue to television advertising expenditures and newspaper advertising expenditures (to 2 decimals).

Answers

Answer:

Hope this helps

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZ

A billing company that collects bills for​ doctors' offices in the area is concerned that the percentage of bills being paid by medical insurance has risen.​ Historically, that percentage has been 31​%. An examination of 8,606 ​recent, randomly selected bills reveals that 32​% of these bills are being paid by medical insurance. Is there evidence of a change in the percent of bills being paid by medical​ insurance

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]H_o : p =0.31\\\\H_a: p \neq 0.31\\\\n = 8606 \\\\ p^ = 0.32[/tex]

[tex]TS = \frac{(p^ - p)}{\sqrt{(\frac{pq}{n})}}[/tex]

      [tex]= \frac{(0.32-0.31)}{\sqrt{(\frac{0.31\times 0.69}{8368})}}\\\\=\frac{0.01}{5.4}\\\\=0.00185\\\\[/tex]

Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180.
In a​ triangle, the measures of the three angles are​ x, x+5​, and x-35. What is the measure of each​ angle?

Answers

Answer:

X=70

Step-by-step explanation:

70 + 75 + 35 =180

x + x+5 + x-35

I am a line that intersects a circle at 2 points WHAT AM I?​

Answers

if it’s a riddle i have no idea. if it’s a math question related to the rules of circles it would be a secant line.

Find the area in square inches. <3

Answers

To find the area of a triangle you are supposed to use the formula:

1/2 x b x h

So we know the height and base is 9 and 12:

1/2 x 9 x 12

Multiply the newly made equation and you get:

54


Have an awesome day <3

Solve for x. 3(x+2)=2(2-x)

Answers

Answer: -2/5

1. Multiply out like using distributive property

3x+6 = 4-2x

2. Now just simplify

5x+6=4

5x=-2

x=-2/5

Answer:

Heyaa!!! Im Pinky! Im here to inform you that your answer is....

Step-by-step explanation:

               

                   

                       

1st. We need to Distribute:  

      3(+2)=2(2−)

      3+6=2(2−)

Just like That!

2nd. We have to Rearrange terms:

    3+6=2(2−)

   3+6=2(−+2)

3rd. Distribute One Last Time:

       3+6=2(−+2)

      3+6= −2+4

4th. Simplify:

    3=−2−2

5th. Add 2 to both sides of the equation:

      3=−2−2

      3+2=−2−2+2

6th. Simplify:

    5=−2  

7th. Divide both sides of the equation by the same term:

       5=−2

      5/5 = -2/5

8th. Solve:

  x = -2/5

        Have an Amazing day!!

~Pinky~

HELP ME PLEASE, I can't figure out this puzzle :(

Answers

042 good luck on ur test
Other Questions
What is your favorite singer?I have a lot Choose all of the items that correctly describe John D. Rockefeller. A) steel industry B) Standard Oil Company C) controlled 90% of his industry by the late 1800s D) was able to prevent his monopoly from being broken into pieces E) guaranteed his workers high wages in order to keep his product of a high quality What is the average rate of change of f(x)=x2+x6 between x=1 and x=3 ?A 5B 5C 15D 10 Use the diagram to answer the question.35.6 m23.4 m15.2 m23.4 mWhat is the area of the triangle?OA. 82.40 mB. 97 60 m2 Compound Interest: You deposit $100 in an account that earns 3% annual interest compounded continuously. How long does it take the balance to reach the following amounts? (A = Pe^(rt). NO LINKSa. $110b. $150c. $200 Write a function template that accepts an argument and returns its absolute value. The absolute value of a number is its value with no sign. For example, the absolute value of -5 is 5, and the absolute value of 2 is 2. Test the template in a simple driver program being sure to send the template short, int, double, float, and long data values. Please help Ill mark you brainliest Roberto has received various gifts over the years and has decided to dispose of the following assets he received as gifts:What is the recognized gain or loss from the following transactions, assuming that no gift tax was paid when the gifts were made.If an answer is zero, select "neither a gain nor a loss" and enter "0" as the amount.a. In 1981, he received land worth $32,000. The donor's adjusted basis was $35,000. Roberto sells the land for $95,000 in 2018.(neither a gain or a loss/ a gain/ a loss) of $__________ is recognized.b. In 1986, he received stock in Gold Company. The donor's adjusted basis was $19,000. The fair market value on the date of the gift was $34,000. Roberto sells the stock for $40,000 in 2018.(neither a gain or a loss/ a gain/ a loss) of $__________ is recognized.c. In 1992, he received land worth $15,000. The donor's adjusted basis was $20,000. Roberto sells the land for $9,000 in 2018.(neither a gain or a loss/ a gain/ a loss) of $__________ is recognized.d. In 2013, he received stock worth $30,000. The donor's adjusted basis was $42,000. Roberto sells the stock for $38,000 in 2018.(neither a gain or a loss/ a gain/ a loss) of $__________ is recognized. Please help me answer this please help will give brainliest instantly. Which action is an example of participating in politics? (1 point) A) moving into a community B) investing C) voting D) attending a religious service cuantos kilometros tiene tokyo If Jaliya has 5 paintings and paints 6 more how much does she have now? A lock has a 3-number code made up of 15 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code? please help me ill give you the crown thing if its right no joke Can anyone give me an answer to this? Help is serverly needed... What effect does a large number of rabbits in an area have on the plants they use for food? Question 2 options: An underpopulation of rabbits results in fewer plants. This situation does not affect other organisms that depend on the same plants for their food. An overpopulation of rabbits results in fewer plants. This situation could also affect other organisms that depend on the same plants for their food. Eastern cottontail rabbits dig nests in the soil to have their young. The rabbits cannot do this if the soil is too hard or rocky. That's why eastern cottontail rabbits live in places where the soil is soft or sandy. Elements in Group____are common alkaline earth metals.Answer here ILL GIVE BRAINLIEST PLSSSS HELP BASICALLY EVERYTHING IS IN THE PICTURE IF YOU ANSWER THIS WRONG OR PUT RANDOM WORDS OR A LINK I WILL REPORT YOU FASTER THAN THIS IS DUE On her journey to the city, what objects fascinate Laskshmi? How might her innocence foreshadow her fate?