1.
a)cylinder: V = π r² h
b)pyramid: <span>1/3 · [area of base] · h </span>
c)cone: (1/3)πr²h
2.
The changes in the dimensions of a cube changes its volume by 8 This essentially means that the original side length and volume is 1 cubic unit. However, when you double the side then the volume will finally be 8 cubic units. Therefore, the volume multiplies by eight.
3.
a)cylinder - Ellipse
b)cone - Circle
c)sphere - Great Circle
<span>
d)square pyramid - Triangle</span>
Five squared with the little two and 2 because 5 Times 10 is 50 and five is prime so then from 10 and you get five and two and both five and two are prime
The answer will be (-2,-7)
Answer:
I think it's like 20.8....but I'm not sure
We have the function:
()=−2(−3)^4+1
We need to go from this equation to the parent function x^4. To do that, we first do a vertical translation of 1 unit below. That is:
Vertical translation: f(x) - 1
= −2(−3)^4
Now, we make a horizontal shift of 3 units to the left, replacing x by x + 3:
f(x + 3) + 1 = −2()^4
Horizontal shift: f(x + 3) - 1
= −2x^4
We can make a horizontal expansion if we multiply this function by 1/2:
Horizontal expansion: ( f(x + 3) - 1 ) / 2
= -x^4
Finally, we make a reflection around the x-axis by multiplying this result by -1:
x-axis reflection: -( f(x + 3) - 1 ) / 2
= x^4
