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enot [183]
3 years ago
12

Which equations represent functions? 2x+3y=10. 4x=16. 2x - 3 =14. 3y=18. 14.6=2x

Mathematics
1 answer:
Vlad [161]3 years ago
8 0
2x + 3y = 10 -> y = -2/3x + 10/3 it's a function

4x = 16 -> x =4 it's not a function

2x - 3 = 14 -> x = 8.5 it's not a function

3y = 18 -> y = 6 it's a function

2x = 6 -> x = 3 it's not a function
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Answer:

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3 years ago
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The solid shape is a cone and a half sphere. So the equation would be (cone volume) + (1/2 sphere volume):
cone =  \frac{1}{3} \pi {r}^{2} h \\ sphere =  \frac{4}{3} \pi {r}^{3}  \\ object = ( \frac{1}{3} \pi  {r}^{2} h) +  \frac{1}{2} ( \frac{4}{3} \pi  {r}^{3} )
If the volume of the cone is 270pi and the height of the cone is 10, then:
270\pi =  \frac{1}{3} \pi {r}^{2} (10) \\ 27 =  \frac{1}{3}  {r}^{2}  \\ 80 =  {r}^{2}  \\ r = 9
The radius of the object is 9 cm. Therefore, we can plug into the formula for the total volume:
object = 270\pi +  \frac{1}{2} ( \frac{4}{3} \pi {(9)}^{3} ) \\  = 270\pi +  \frac{2}{3} (729\pi) \\  = 270\pi \: + 243\pi \\  = 513\pi
The total volume is 513 pi cm^3
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e-lub [12.9K]

Answer:

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Step-by-step explanation:

58% of 18 = 10.44

8 0
3 years ago
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