A.
F(10)= (10)^2-3(10)-5
F(10)=100-30-5
F(10)=65
B.
F(-3)=(-3)^2-3(-3)-5
F(-3)=9+9-5
F(-3)=13
C.
G(2)= -6(2)+1
G(2)= -12+1
G(2)=-11
D.
G(10)=-6(10)+1
G(10)= -60+1
G(10)= -59
The volume of a rectangular prism is its length times width times height, or algebraically,
. You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute
into the formula for volume. You get
, and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get
. It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule
, if n is non-negative. The opposite applies so that
. For your final answer, you write
. This corresponds to
answer choice B.
D.
None of the above. Because your expression would be, 2 + 0.75 x 6.
Hope it helps. ;)
Answer:
4
Step-by-step explanation:
The diameter of the new rubber ball, to the nearest foot, must be D = 4.0 ft (in the case of the maximum cost).
<h3>
How to find the diameter of the ball?</h3>
Remember that for a sphere of diameter D, the surface area is:
A = 4*pi*(D/2)^2
In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:
$0.02*A = $1
A = $1/$0.02 = 50
So the surface of the ball must be 50 square feet.
Then we solve:
50ft^2 = 4*3.14*(D/2)^2
D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
