Answer:
Step-by-step explanation:
Consider the graphs of the and .
By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.
then o . Therefore the integration limits are:
and
The inverse functions are given by:
and . Then
The volume of the solid of revolution is given by:
Divide $71,000 by 24 because there are 12 months in a year and he gets paid 2 times a month. I got $2,958.33
The prefix that means hundredth is centi
Answer:
28
Step-by-step explanation:
4 / 7 * x = 16
4 * x = 16 * 7
x = 4 * 7
x = 28
Answer:
15,120 for the first question. 1,680 if one of the books is a must
Step-by-step explanation:
When Ron chooses his first book, he has 9 options. After that, when he chooses his second book, he only has 8 choices because he already picked one of them. By his third choice, he only has 7 choices and so on.
We can make an equation to represent this,
9 x 8 x 7 x 6 x 5
Multiplying all of that out gets you 15,120.
The second problem is even easier. Since one of the books is already chosen for him, he starts off only having 8 options. Since he is only choosing four books this time, we are only multiplying four numbers.
8 x 7 x 6 x 5
Multiplying all of that out tells you there are 1,680 ways he can make his selection in the second scenario.