Start with the volume equation for a sphere:
V=4/3pi•r^3
The dimensions of the cylinder allow for a sphere with a diameter of 20 centimeters, so the radius of this sphere will be 10 centimeters. Substituting this into the equation:
V=4/3pi•(10)^3
or the uppermost right answer (B).
Answer:
a) 3x - 1
Step-by-step explanation:
f(x) + g(x)
(-2x + 6) + (5x - 7)
Drop the parentheses
-2x + 6 + 5x -7
5x and -2x can be combined as well as 6 and -7
So, 3x -1
#5 is 5 days
40×5=200
200+150=250
20×5=100
100+150=250
Answer:
D. (2, 0)
Step-by-step explanation:
The solutions are the two points of intersection of the graphs:
(-2, -4) and (2, 0)
The latter of these corresponds to choice D, the one you have marked.
If you expand out the brackets you get this,
(4+5i)(a+2i) = 4a + (5a)i + 8i - 10
The -10 comes from 5i * 2i.
Squaring i becomes -1.
Let's group the real stuff together,
and imaginary separately,
(4a - 10) + (5a + 8)i
For this to be purely imaginary,
the real part needs to be zero.
Therefore 4a - 10 = 0
Solve for a.
