Must be 16 and 21 because we can see
30 and 70 has 10 as factor
24 and 44 has 2 as factor
12 and 30 has 2 as factor and all those factors are greater than one
(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: x-2
Step-by-step explanation:
so y=5x on a graph is going to look like a 5/1 slope. X represents days and Y represents miles. So (1,5) means in 1 day Fran runs 5 miles.
There are a total of 16 movies to choose from and 6 of them are comedy. This means that you have a 38% of choosing comedy. But the chances of you not choosing comedy is 62%. And since your friend is also choosing, the chance of neither of you not choosing is cut in half.
So, the final answer of neither of you choosing comedy is 31%
(I don't know whether it's dependent or independent)
