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stepladder [879]
2 years ago
5

An ice cream shop wants to be sure their cups and cones hold the same amount of

Mathematics
1 answer:
ella [17]2 years ago
3 0

If the cone has the same width with the cup, the height of the cone will be 6 inches.

<h3>How to find the volume of cylinder and cone?</h3>

The cup is cylindrical.

Therefore,

volume of the cup = πr²h

where

  • r = radius
  • h = height

Hence,

volume of the cup = π × 1.5² × 2 = 4.5π

If the cone has the same width of the cup, the height of the cone can be calculated as follows;

4.5π  = 1  /3 πr²h

4.5π = 1 / 3 × π × 1.5² × h

4.5π = 0.75πh

h = 4.5π / 0.75π

h = 6 inches

learn more on volume here: brainly.com/question/22996610

#SPJ1

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Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
Mars2501 [29]

The solution to the binomial expression by using Pascal's triangle is:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>

Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.

We can have the Pascal tree triangle expressed as follows:

                          1

               1                   1

        1                2                 1

    1          3              3               1

1      4            6                4            1

--- --- --- --- --- --- --- --- --- --- --- --- --- --- ---

From the given information:

The expansion of (3x-4y)^11 will correspond to line 11.

Using the general formula for the Pascal triangle:

\mathbf{(a+b)^n = c_oa^nb^0 + c_1 a^{n-1}b^1+c_{n-1}a^1b^{n-1}+c_na^0b^n}

The solution to the expansion of the binomial (3x-4y)^11 can be computed as:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

Learn more about Pascal's triangle here:

brainly.com/question/16978014

#SPJ1

5 0
2 years ago
Which is equivalent 4 pencils for every 2 student
taurus [48]

Answer:

8 pencils for every 4 students

Step-by-step explanation:

7 0
2 years ago
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Find the difference between -14w - 3 and 5w.
kirza4 [7]
(-14w) - (-3) - (-5w) equals
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or if what you're saying is
-14w - 3 - 5w it equals
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or if what youre saying is
(-14w - 3) - 5w it equals
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8 0
3 years ago
Read 2 more answers
Is the relation { (5, 2), (-1, 6), (8, -2), (5, 3)} a function? why or why not? list the domain and range
Tasya [4]

Answer:

it is not a function because the input 5 (x) has more than one output (y)

domain (5,-1,8)

range (2,6,-2,3)

Step-by-step explanation:

5 0
3 years ago
13, what is the probability that the coin lands on heads the first two times and lands on tales third
lozanna [386]

Answer: The probability is 1/8

Explanation:

Probability is a ratio of the number of relevant outcomes and total number of possible outcomes.

We are flipping the coin three times.

The number of relevant outcomes is 1 (one triple {Head, Head, Tail})

The number of all possible outcomes is the product of 2 possibilities (Head or Tail) on first toss, times another 2 on second, times another 2 on third, so 2^3 = 8.

The probability P = 1/8

4 0
3 years ago
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