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Alex73 [517]
3 years ago
15

The volume of a rectangular prism can be found by multiplying the three side lengths. A bookcase in the shape of a rectangular p

rism has dimensions (b+8) ft, b ft, and (b+3) ft. Find the volume of the bookcase​
Mathematics
1 answer:
Vesna [10]3 years ago
3 0

Answer:

(b³+11b²+24)ft³

Step-by-step explanation:

Volume of the rectangular prism = Length * Width * Height

Given the dimension

Length = b+8 ft

Width = b ft

Height = (b+3)ft

Volume of the rectangular prism = b(b+8)(b+3)

Volume of the rectangular prism = b(b^2+3b+8b+24)

Volume of the rectangular prism = b(b^2+11b+24)

Volume of the rectangular prism = b(b^2)+b(11b)+1(24)

Volume of the rectangular prism = b^3+11b^2+24

Hence the Volume of the rectangular prism is (b³+11b²+24)ft³

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Joe paid 14.00 for a board game this is 70% off the original price what is the original price?
soldi70 [24.7K]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.

Let the original price of board game be x.

x\times \frac{70}{100}=14

x\times \frac{7}{10}=14

Multiply both sides by 10.

7x=140

Divide both sides by 7.

x=20

The original price is 20. Therefore the correct option is B.

6 0
3 years ago
Type in the value of y.<br><br><br><br> If x = 7, then y =
Mila [183]
<h3>Answer:  8</h3>

Explanation:

The rule says "whatever x is, add 1 to it to get y"

So for instance, if x = 3, then y = x+1 = 3+1 = 4

Now if x = 7, then y = x+1 = 7+1 = 8

3 0
3 years ago
Read 2 more answers
It is based on ratios
12345 [234]

Answer:

Gianna makes $18 per hour.

Step-by-step explanation:

Given Gianna makes 90$ for 5 hours. That means she should make $ \frac{90}{5} $ $  = 18$ every hour.

Therefore we have:

a.

HOURS                    DOLLARS

  1                                   18

  2                                  36

  3                                  54

  4                                   72

  5                                   90

  6                                   108

  7                                   126

b.

For the tabular column mark Hours on the x - axis and Dollars on the Y - axis. It can be plotted from the above table easily.

c.

If Gianna works for 8 hours she would have made 8 X 18 = 144$.

So, she will earn 144$ in 8 hours.

d.

To make 60$ she would have to work $ \frac{60}{18} $ hours = 3.33 hours.

3 0
3 years ago
A bag contains 4 blue balls, 7 yellow balls and 4 white balls. Event A is defined as drawing a blue ball on the first draw and e
vekshin1

P(B|A) expressed in simplest form is  8/105.

<h3>What is the probability?</h3>

Probability determines the chances that an event would happen. The chance of the event happening lies between 0 and 1.

P(B|A)  = (number of blue balls / total number of balls) x (number of white balls / total number of balls - 1 )

(4/15) x 4/14 = 8/105

To learn more about probability, please check: brainly.com/question/13234031

#SPJ1

3 0
2 years ago
What is the domain of F(x) = In(x)?
jekas [21]

Answer as an inequality:  x > 0

Answer in interval notation:  (0, \infty)

Answer in words: Set of positive real numbers

All three represent the same idea, but in different forms.

======================================================

Explanation:

Any log is the inverse of an exponential equation. Consider a general base b such that f(x) = b^x. The inverse of this is f^{-1}(x) = \log_b(x)

For the exponential b^x, we cannot have b^x = 0. We can get closer to it, but we can't actually get there. The horizontal asymptote is y = 0.

Because of this, \log_b(x) has a vertical asymptote x = 0 (recall that x and y swap, so the asymptotes swap as well). This means we can get closer and closer to x = 0 from the positive side, but never reach x = 0 itself.

The domain of \log_b(x) is x > 0 which in interval notation would be (0, \infty). This is the interval from 0 to infinity, excluding both endpoints.

------------------------

The natural log function Ln(x) is a special type of log function where the base is b = e = 2.718 approximately.

So,

\log_e(x) = \text{Ln}(x)

allowing all of what was discussed in the previous section to apply to this Ln(x) function as well.

------------------------

In short, the domain is the set of positive real numbers. We can't have x be 0 or negative.

8 0
3 years ago
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