Answer : (8,5)
Given
K(x) = ![8-\sqrt[3]{x}](https://tex.z-dn.net/?f=8-%5Csqrt%5B3%5D%7Bx%7D)
Now we plug in each point and check whether it satisfies our equation
(-64,12)
K(-64) = ![8-\sqrt[3]{-64}](https://tex.z-dn.net/?f=8-%5Csqrt%5B3%5D%7B-64%7D)
= 12 so this point lie on graph
(125,3)
K(125) = ![8-\sqrt[3]{125}](https://tex.z-dn.net/?f=8-%5Csqrt%5B3%5D%7B125%7D)
= 3 so this point lie on graph
(343,1)
K(343) = ![8-\sqrt[3]{343}](https://tex.z-dn.net/?f=8-%5Csqrt%5B3%5D%7B343%7D)
= 1 so this point lie on graph
(8,5)
K(8) = ![8-\sqrt[3]{8}](https://tex.z-dn.net/?f=8-%5Csqrt%5B3%5D%7B8%7D)
= 6 so this point does not lie on graph because we got 6 instead of 5
Answer:
Part A:
The surface area of a cylinder is given by
A= 6πr² if h= 2r
Part B:
Total Cost of covering the cylinder = Rate *2πrh + rate*2πr²
Cost of covering only the side = Rate *2πrh
Step-by-step explanation:
Part A:
The surface area of a cylinder is given by
A= 2πrh + 2πr²
Where h= height and radius = r
But we have the height twice as radius so h= 2r
So putting h= 2r we get
A= 2πr(2r) + 2πr²
A= 4πr² + 2πr²= 2πr²(2+1) = 2πr²(3)= 6πr²
Part B:
Cost = Rate * area of the wall + rate * area of the top and bottom
Cost = Rate *2πrh + rate*2πr²
Where area of the top and bottom= πr² +πr² =2 πr²
and area of the side = 2πrh
Multiplying both with the rate and then adding would give the total cost of materials needed to cover the outside of the cylinder and from top and bottom as well.
If you do not need to cover top and bottom then the expression would be
Cost of covering only the side = Rate *2πrh
Part C:
Already done above.
Answer:
168 cm³
Step-by-step explanation:
The base area of the oblique hexagonal prism = 42 cm²
the height of the prism = 4 cm
Volume of the prism = Base area × height = 42 cm² × 4 cm = 168 cm³
Answer:
2.4 (2 2/5) pieces of pie per person.
Step-by-step explanation:
All that is needed to be done is simple division. Take your pieces of pie, (12) and divided it by the amount of people (5). This will give you 2.4. This can be turned into 24/10, and can be simplified twice. First to 12/5, then to 2 2/5.
Hope this helps!
A bell curve describes a random distribution where at either end is a low amount with the middle representing a higher amount of points.
So at either ends are “extremes” were someone scored really low or really high. The middle presents the average where most people will score
