Answer:
The width of the rectangle is 56 and the length is 48
Step-by-step explanation:
divide the perimeter in half (52 + 52)
then subtract 4 from one of the 52's
you get the answer of 56 and 48
Your answer can be checked by conferming that 56 - 48 = 8 so the width of a rectangle is 8 inches longer than its length.
Each day his study time is increasing. Find a common denominator, in this case 8
1/4 = 2/8
5/8 = 5/8
1 = 8/8
So he went from
2/8 to 5/8 to 8/8 which is an increase of 3/8 each day. If this pattern continues Thursday would be 11/8 and Friday 14/8.
14/8 = 1 6/8 = 1 3/4 hours
(an hour and 45 minutes)
He must work 13 hours. I don't feel like showing my work.
Answer:
(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
(b) Every function of the form 
is an antiderivative of 8x
Step-by-step explanation:
A function <em>F </em>is an antiderivative of the function <em>f</em> if
for all x in the domain of <em>f.</em>
(a) If 
, then 
is an antiderivative of <em>f </em>because
Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of <em>f</em>.
(b) Because
then is an antiderivative of . Therefore, every antiderivative of 8x is of the form for some constant C, and every function of the form is an antiderivative of 8x.
Answer:
- difference: -4 cubic inches
- % change: -10%
Step-by-step explanation:
The difference between the new volume and the original volume is ...
(new volume) - (original volume) = (36 in³) - (40 in³) = -4 in²
__
The percentage change is figured with respect to the original volume:
% change = (difference)/(original volume) × 100% = (-4 in³)/(40 in³) × 100%
= -1/10 × 100% = -10%
