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Anika [276]
3 years ago
7

What does d=1/2gt^2 solve?

Mathematics
1 answer:
vlabodo [156]3 years ago
5 0
Physics is a bit difficult, I try to explain.

You know that the acceleration formula (to find the distance) is d=1/2at^2, when you have no initial distance and no initial speed.

d=1/2gt^2 is the formula for the Free Fall (the only acceleration that acts on the object is the Gravity Acceleration) and since we consider the y-axis positive when oriented up, it solves from ground to peak (object thrown upward).

The formula when the object goes downwards is d=v0t - 1/2gt^2

Hope it's clear, in case leave a comment.
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F(x)=x^2 g(x)=x^2-8 we can think of g as a translated (shifted) version of f
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Answer:

Shift f 8 units down.

Step-by-step explanation:

The complete question is

f(x) =x^2 ,g(x) ​ =x^2-8. ​ We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f by___ units.

We know that g is obtained by shifting f, k units up or down (depending of the value of k, if positive, the shifting is up, or down otherwise). At any point x, we get g(x) by adding k units to the value of f(x). That is

g(x) = f(x)+k

If we replace the meaning of f,g we get

x^2-8 = x^2

by substracting x^2 on both side we get that k = -8. This means that to get g, we must shift f 8 units down

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Step-by-step explanation:

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In a sample of 100 steel canisters, the mean wall thickness was 8.1 mm with a standard deviation of 0.5 mm. Someone says that th
Travka [436]

Answer:

This statement can be made with a level of confidence of 97.72%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.1 mm

Standard Deviation, σ = 0.5 mm

Sample size, n = 100

We are given that the distribution of thickness is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.5}{\sqrt{100}} = 0.05

P(mean thickness is less than 8.2 mm)

P(x < 8.2)

P( x < 8.2)\\\\ = P( z < \displaystyle\frac{8.2 - 8.1}{0.05})\\\\ = P(z < 2)

Calculation the value from standard normal z table, we have,  

P(x < 8.2) =0.9772 = 97.72\%

This statement can be made with a level of confidence of 97.72%.

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4 years ago
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