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juin [17]
3 years ago
12

. Frosty Snacks sells ice cream in a cylindrical cup and in cones.

Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Answer:

10.99 in^3

Step-by-step explanation:

Steps to determining the answer

  1. determine the volume of the cylinder
  2. determine the volume of the cone
  3. find the difference in volumes

volume of a cylinder = nr^2h

n = 3.14

r = radius

3.14 x 4 x 2² = 50.24 in³

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius

A radius is half of the diameter = 5/2 = 2.5 in

h = height  

(1/3) x 3.14 x 2.5² x 6 = 39.25 in³

difference = 50.24  - 39.25 = 10.99 in³

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-30=-2(-n + 3)<br><br> Only number not variable
shutvik [7]

Answer:

n=12

Step-by-step explanation:

I'm assuming you want to solve for <em>n</em>

First, you must use distributive property:

-30=-2n-6

Then, add 6 to both sides

-24=-2n

Finally, you must divide by -2

12=n

7 0
2 years ago
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8 0
2 years ago
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Consider the following equations. f(x) = − 4/ x3, y = 0, x = −2, x = −1. Sketch the region bounded by the graphs of the equation
Sindrei [870]

Answer:

1.5 unit^2

Step-by-step explanation:

Solution:-

- A graphing utility was used to plot the following equations:

                         f ( x ) = - \frac{4}{x^3}\\\\y = 0 , x = -1 , x = -2

- The plot is given in the document attached.

- We are to determine the area bounded by the above function f ( x ) subjected boundary equations ( y = 0 , x = -1 , x = - 2 ).

- We will utilize the double integral formulations to determine the area bounded by f ( x ) and boundary equations.

We will first perform integration in the y-direction ( dy ) which has a lower bounded of ( a = y = 0 ) and an upper bound of the function ( b = f ( x ) ) itself. Next we will proceed by integrating with respect to ( dx ) with lower limit defined by the boundary equation ( c = x = -2 ) and upper bound ( d = x = - 1 ).

The double integration formulation can be written as:

                           A= \int\limits_c^d \int\limits_a^b {} \, dy.dx \\\\A = \int\limits_c^d { - \frac{4}{x^3} } . dx\\\\A = \frac{2}{x^2} |\limits_-_2^-^1\\\\A = \frac{2}{1} - \frac{2}{4} \\\\A = \frac{3}{2} unit^2

Answer: 1.5 unit^2 is the amount of area bounded by the given curve f ( x ) and the boundary equations.

Download docx
3 0
3 years ago
What would the total bill be of a lunch that cost &amp;7.99 with a tax rate of 7%
Nana76 [90]
Hello Basketballlover28,

Answer:

Price: $ 7.99

Sales Tax (7%): $ 0.56

Total: $ 8.55
5 0
3 years ago
What is the area of the figure?
Zinaida [17]

Answer:

The area of the figure is 100

Step-by-step explanation:

5 0
3 years ago
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