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earnstyle [38]
2 years ago
5

Suppose you know that the volume of the following prism is represent by V(x) = -2x^3 + 14x^2 + 120x.

Mathematics
1 answer:
erastova [34]2 years ago
8 0

Step-by-step explanation:

-2x³ + 14x² + 120x

= -2x(x² - 7x - 60)

= -2x(x - 12)(x + 5).

The other 2 dimensions are -2x and (x + 5).

When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.

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The following frequency table summarizes the number of children that dads in Dads Club have.
attashe74 [19]

Answer:

C

Step-by-step explanation:

Now there are 6+4+8+1+1=20 dads in the Dads Club.

Fewer than 3 children have

  • 1 child - 6 dads
  • 2 children - 4 dads.

So, 6+4=10 dads have fewer than 3 children.

The probability that the dad of Dads Club has fewer than 3 children is

Pr=\dfrac{10}{20}=0.5 \text{ or } 50\%.

The probability that the next dad to join Dads Club has fewer than 3 children is reasonable to be 50%.

8 0
3 years ago
Read 2 more answers
How can I simplify this expression using only positive exponents ?
belka [17]
\dfrac{4}{2}\cdot\dfrac{r^3}{r^5}=2\cdot\dfrac{1}{r^2}\\\\=\dfrac{2}{r^2}
5 0
2 years ago
Please help me with this it’s due today .
USPshnik [31]

For question 1:

Since each person is going to eat 1/4 of pizza and there are two of them, there are going to be 8 slices. There are 5 people eating, that's 5 slices gone, leaving 3.

It would be <u>D.) 3/4 pizza</u>

For question 2:

three people order the same meal. Now, if I'm correct, the meal total is AFTER the coupons were used. so that would bring total cost up to $30.75.

Divide that by 3 for all three friends:

30.75/3 = <u>D.) $10.25</u>

7 0
3 years ago
6. The expected life of a calculator varies inversely with the amount of times a student
loris [4]

9514 1404 393

Answer:

  250 days

Step-by-step explanation:

If the number of drops increases by a factor of 20/8, the expected life will decrease by the inverse of that factor: 8/20.

The expected life is (8/20)(625 days) = 250 days.

6 0
3 years ago
Please Help With This!!
fomenos

Answer:

f=4

Step-by-step explanation:

-11f=7(1-2f)+5

-11 f=7-14f+5

14f-11f=12

3f=12

f=4

6 0
2 years ago
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