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Zinaida [17]
2 years ago
13

There are ten toppings available to make an ice

Mathematics
1 answer:
nadya68 [22]2 years ago
3 0

Answer:

There will be 56 possible combinations if he is allowed to choose the same topping twice.

There will be 47 if he is not allowed to choose the same topping twice.

Step-by-step explanation:

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Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the x-axis
guapka [62]

Answer: V = \frac{64}{3}\pi

Step-by-step explanation: A solid formed by revolving the region about the x-axis can be considered to have a thin vertical strip with thickness Δx and height y = f(x). The strip creates a circular disk with volume:

V = \pi. y^{2}.Δx

Using the <u>Disc</u> <u>Method</u>, it is possible to calculate all the volume of these strips, giving the volume of the revolved solid:

V = \int\limits^a_b {\pi. y^{2} } \, dx

Then, for the region generated by  y = - x + 4:

V = \int\limits^4_0 {\pi.(-x+4)^{2} } \, dx

V = \pi.\int\limits^4_0 {(x^{2}-8x+16)} \, dx

V = \pi.(\frac{x^{3}}{3}-4x^{2}+16x )

V = \pi.(\frac{4^{3}}{3}-4.4^{2}+16.4 - 0 )

V = \frac{64}{3}.\pi

The volume of the revolved region is V = \frac{64}{3}.\pi

8 0
3 years ago
Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylin
sp2606 [1]

Answer:

3,451 cm³

Step-by-step explanation:

The ball is a sphere.

Formula for finding the volume of a sphere = ⁴/3*πr³

Volume of the 3 balls = 3(⁴/3*πr³)

Where,

radius (r) = ½ of diameter = ½(13) = 6.5 cm

Plug in the values into the formula:

Volume of the 3 balls = 3(⁴/3*π*6.5³)

= 4*π*274.625

= 3,451.03953 ≈ 3,451 cm³

3 0
3 years ago
35 61 63 69 49 46 52 32 34 50<br> what is the mode
egoroff_w [7]

Answer:

no mode

Step-by-step explanation:

Mode is the most common number shown therefore....

since there are no numbers repeated, the answer is no mode

3 0
3 years ago
What is 14 865.00 to the nearest thousand​
Murrr4er [49]

Answer:

the nearest thousand is 15 000.00

7 0
3 years ago
Evaluate the expression if m =<br> -4, n = 1, p = 2, 9 = -6, r = 5, and t = -2.<br> |16+4(3q + p)|
swat32

Answer:

720

Step-by-step explanation:

|16+4(3(-6)+(2)|

|20(-18*2)|

|20*-36|

|-720|

720

7 0
3 years ago
Read 2 more answers
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