Answer:
Step-by-step explanation:
we would like to integrate the following Integral:
well, to get the constant we can consider the following Integration rule:
therefore,
recall exponent integration rule:
so let,
Thus integrate:
simplify addition:
reduce fraction:
finally we of course have to add the constant of integration:
hence,
our answer is D)
Surface area of a sphere=4pi(r^2)
Volume of a sphere=(4/3)pi(r^3)
You need to find the r value to calculate surface area, so I'll solve for that first.
(4/3)pi(r^3)=2254pi
(4/3)(r^3)=2254
r^3=1690.5
r=(1690.5)^(1/3), around 11.9126m
Substitute this in to find surface area
A=4pi(r^2)=4pi(11.9126)^2
=1783.2818 m^2
For the most part, the cross-section formed is a <em>trapezoid</em>, but if the slice passes through the apex of the pyramid, that shape is a <em>triangle</em>.
(Image source: MathCaptain.com)
Answer: Institutional Review Board
Answer: 0.02x
Step-by-step explanation:
The value of the cars the salesman makes is x in this instance.
The salesman makes a 2% commission on every sale so this can be represented by multiplying 2% by the value of the cars which in this case is x.
= 2% * x
= 0.02 * x
= 0.02x
If for instance he sells $40,000 worth of cars, his commission would be:
= 0.02 * x
= 0.02 * 40,000
= $800
