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Vlada [557]
2 years ago
10

B. What is the volume of the prism in cm3? Show your reasoning. If you

Mathematics
1 answer:
Anastaziya [24]2 years ago
8 0

Answer:

Step-by-step explanation:

Volume of a rectangular prism is length × height × width

Length=7 1/2

Width= 15 1/2

Height=12

Volume of the prism is therefore:

7 1/2×12×15 1/2= 1395cm3

No of cubes with edge length 1/2 to fit into the prism will be:

Volume of cube is L*W*H

1/2*1/2*1/2= 1/8cm3

Therefore the no of cubes to fit into the Prism will be:

1395/(1/8)= 11160 cubes.

If one was stuck,the number of 1/2 edge length cube to fit into 1cm will be:

1/(1/8)= 8 cubes

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Someone please help ?
ikadub [295]

a. 1490

5 x 37.25= 186.25

186.25 x 8 = 1,490

8 0
3 years ago
People who use aluminum siding are satisfied Therefore, if you don't use our aluminum siding, you won't be sati ud.
Eva8 [605]

Answer:

The conclusion is invalid.

The required diagram is shown below:

Step-by-step explanation:

Consider the provided statement.

People who use aluminum siding are satisfied Therefore, if you don't use our aluminum siding, you won't be satisfied.

From the above statement we can concluded that those use aluminum siding are definitely satisfied but it may be possible that some people don't use aluminum siding but they still satisfied.

Therefore, the conclusion is invalid.

The required diagram is shown below:

3 0
2 years ago
Brooklyn began her school day with 25 pieces of gum and gave x amount away. Amy
malfutka [58]

Answer:15

Step-by-step explanation:

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
A motorbike travels 165 km in 3 hours. How long will it take to travel 440 km?
Andre45 [30]

Answer:

165km ----> 3 hrs

1km --------> (3/165) hrs

440km -------->  [(3/165)*440]hr

Answer: 8 hrs

4 0
2 years ago
Read 2 more answers
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