Answer:
DA/dt = 75.27 cm²
Step-by-step explanation:
Cube Volume = V(c) = 683 cm³
DV(c) /dt = 824 cm³
V(c,x) = x³
Then
DV(c,x)/ dt = 3x² Dx/dt
( DV(c,x)/ dt )/ 3x² = Dx/dt (1)
Now as V(c,x) = x³ when V(c,x) = 683 cm³ x = ∛683
x = 8.806 ( from excel)
And by subtitution of this value in equation (1)
Dx/dt = ( DV(c,x)/ dt )/ 3x² ⇒ Dx/dt = 824 / 3*x²
Dx/dt = 824 /3*77.55
Dx/dt = 824/232,64
Dx/dt = 3,542
Then we got Dx/dt where x is cube edge. The area of the face is x² then
the rate of change of the suface area is
DA/dt = ( Dx/dt )²*6 ( 6 faces of a cube)
DA/dt = (3.542)²*6
DA/dt = 75.27 cm²
Answer:
21/40, 17/20, 29/40, 3/4, 4/5
Step-by-step explanation:
21/40 = 10.5/20
29/40 = 14.5/20
17/20 = 13.5/20
3/4 = 15/20
4/5 = 16/20
Answer:
7 is the y intercept
Step-by-step explanation:
A repeating decimal is one that essentially goes on forever. A terminating decimal is one that has an end, therefore a definite value.
The fraction 1/3 is a repeating decimal, because when you divide 1 by 3, you get .333333 (to infinity). To show that something is repeating, draw a bar (or line) above the number that is repeating, in this case, 3.
The fraction 1/4 is a terminating decimal. Like the one above, when you divide 1 by 4, you get a fraction. In this case, it is .25, which does not repeat.
The fractions are there just to show you how you could get to either, but your terminating decimal is .25, and your repeating decimal is .3 (but with a line over the 3 if possible).
Answer:
Total distance = 53/4 miles = 13.25 miles
Step-by-step explanation:
Sage hiked from the start of the trail to Lookout Point.
Distance = 8 3/4 miles = 35/4 miles
She then hiked back to Giant Boulder
This means she traveled an additional
8 3/4 miles - 4 1/4 miles = 35/4 mi - 17/4 mi = 18/4 mi = 9/2 mi
The total distance traveled by sage is the sum of both trajectories
Total distance = 35/4 miles + 9/2 miles = 53/4 miles
Total distance = 13.25 miles
