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SVEN [57.7K]
3 years ago
12

10. If a rectangular prism has a volume of 60 cubic inches and all dimensions are doubled, what is the new

Mathematics
1 answer:
Anarel [89]3 years ago
3 0

Answer:

New volume on this is 480 cubic inches

Step-by-step explanation:

The volume of a rectangular prism is area of base * height

That would be;

l * b * h = lbh

we have all this as 60

Doubling all, we have

2l * 2b * 2h = 8lbh

Recall lbh = 60

So 8lbh = 8 * 60 = 480 cubic inches

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The function h(x) is a transformation of the square root parent function,
kondaur [170]

Answer:

A. h(x)=\sqrt{x-3}

Step-by-step explanation:

<h3>Step 1: Definition</h3>

The parent function of \sqrt{x} is translated to the left when h is positive in the transformation \sqrt{x+h}.

If h is negative, the graph translates towards the left with the distance equal to the value of h.

<h3>Step 2: Implementation</h3>

Here the graph moved 3 units towards the right. This means that h is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

h(x)=\sqrt{x-3}

8 0
2 years ago
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu
vitfil [10]

Answer:

a) The minimum head breadth that will fit the clientele = 4.105 inches to 3d.p = 4.1 inches to 1 d.p

b) The maximum head breadth that will fit the clientele = 8.905 inches to 3 d.p = 8.9 inches to 1 d.p

Step-by-step explanation:

This is normal distribution problem.

A normal distribution has all the data points symmetrically distributed around the mean in a bell shape.

For this question, mean = xbar = 6.1 inches

Standard deviation = σ = 1 inch

And we want to find the lowermost 2.3% and uppermost 2.3% of the data distribution.

The minimum head breadth that will fit the clientele has a z-score with probability of 2.3% = 0.023

Let that z-score be z'

That is, P(z ≤ z') = 0.023

Using the table to obtain the value of z'

z' = - 1.995

P(z ≤ - 1.995) = 0.023

But z-score is for any value, x, is that value minus the mean then divided by the standard deviation.

z' = (x - xbar)/σ

- 1.995 = (x - 6.1)/1

x = -1.995 + 6.1 = 4.105 inches

The maximum head breadth that will fit the clientele has a z-score with probability of 2.3% also = 0.023

Let that z-score be z''

That is, P(z ≥ z'') = 0.023

Using the table to obtain the value of z''

P(z ≥ z") = P(z ≤ -z")

- z'' = - 1.995

z" = 1.995

P(z ≥ 1.995) = 0.023

But z-score is for any value, x, is that value minus the mean then divided by the standard deviation.

z'' = (x - xbar)/σ

1.995 = (x - 6.1)/1

x = 1.995 + 6.1 = 8.905 inches

6 0
3 years ago
Select the correct answer. y - 6 = 4( x - 4) Which of the following shows a graph of the equation above?
geniusboy [140]

Answer:

One of the points will be at (0,-10)

One of the points will be at (5/2,0)

The slope is 4

Step-by-step explanation:

Just look at a graph that has the points close to the ones at the top.  Good luck, and have a nice day.

8 0
3 years ago
What is $20.00 less than 2.5 times the price of $64.80
KatRina [158]
To figure this out youll have to multiply 64.80 by 2.5 first then youll get 162 after to figure out the answer you subtract 20 from that amount and get 142
7 0
3 years ago
A music store buys instruments and then sells them for 30% more than they paid.
Mila [183]
$58.50

30% of 45 is 13.5, and 13.50 plus 45 is 58.50
7 0
3 years ago
Read 2 more answers
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