9514 1404 393
Answer:
Step-by-step explanation:
Divide each number in the ratio by their greatest common divisor.
4500 : 80000 = (4500/500) : (80000/500) = 9 : 160
8100 : 144000 = (8100/900) : (144000/900) = 9 : 160
Answer:
11.25pi units² or 35.3 units² (3 sf)
Step-by-step explanation:
½×r²×theta
½ × 5² × 0.9pi
11.25pi units²
Or, 35.3 units² (3 sf)
Answer:
7.75 pounds
Step-by-step explanation:
16 ounces equals 1 pound so divide 16 by 124 to get 7.75
(d) The particle moves in the positive direction when its velocity has a positive sign. You know the particle is at rest when
and
, and because the velocity function is continuous, you need only check the sign of
for values on the intervals (0, 3) and (3, 6).
We have, for instance
and
, which means the particle is moving the positive direction for
, or the interval (3, 6).
(e) The total distance traveled is obtained by integrating the absolute value of the velocity function over the given interval:

which follows from the definition of absolute value. In particular, if
is negative, then
.
The total distance traveled is then 4 ft.
(g) Acceleration is the rate of change of velocity, so
is the derivative of
:

Compute the acceleration at
seconds:

(In case you need to know, for part (i), the particle is speeding up when the acceleration is positive. So this is done the same way as part (d).)
Answer:
Step-by-step explanation:
Divide: 3/13 = 3 ÷ 13
3/13 = 0.230769230769...
B) is your answer
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