After one week, Jacob has earned $80 from babysitting, so his change is an increase of $80. The next week, he spends $85, so he experiences a decrease of $85. Over the two weeks, his overall change is $80-$85=-$5, or a decrease of $5.
(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:
4/5 = 8/10
Step-by-step explanation:
x/5 = 8/10
x = 8/10 × 5
x = 4
Answer:
3
Step-by-step explanation: