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KIM [24]
3 years ago
15

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54 . What is the volume of the dilated prism?

Mathematics
2 answers:
OLEGan [10]3 years ago
4 0
The base area will be dilated: 54 x 54 times
The height is dilated: 54 times.
Current volume: 6 x 8
= 48 cm³

New volume: 48 x 54 x 54 x 54
New volume = 7,558,272 cm³
AlekseyPX3 years ago
3 0

Answer:

The answer is (93.75) for anyone in the future who needs the answer.

Step-by-step explanation:

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Answer: False

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Explanation:

I'll use x in place of p.

The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.

Compare this to ax^2+bx+c = 0

We have

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Plug those three values into the discriminant formula below

d = b^2 - 4ac

d = (-5)^2 - 4(10)(8)

d = 25 - 40*8

d = 25 - 320

d = -295

The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".

Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.

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2 years ago
When a grizzly bear hibernate it’s heart rate drops to 10 beats per minute which 20% of its normal value
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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On a trip to his grandparents, Donny drove 60 miles per hour for 45 minutes and 50 miles per hour for 30 minutes. How many miles
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7 0
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What are the key aspects of the graph of f(x) = x2 – b2, where b is a real number?
netineya [11]

Given equation is f\left(x\right)=x^2-b^2.

Now we need to find about what are the key aspects of the graph of f\left(x\right)=x^2-b^2, where b is a real number.

We know that square of any number is always positive.

then b^2 must be a positive number.

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Given an actual demand of 64, a previous forecast of 59, and an of .3, what would the forecast for the next period be using simp
BartSMP [9]

Answer: 60.5

Step-by-step explanation:

The forecast for the next period using the simple exponential smoothing method is given by:

D\times \alpha+F(1-\alpha) , where D= actual demand for the recent period, \alpha= smoothing factor, F= forecast for the recent period .

Given: D= 64, \alpha=0.34 , F= 59

The forecast for the next period  = 64\times0.3+59(1-0.3)

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Hence, the forecast for the next period = 60.5

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