Answer:
(a) d = 0.012v^2
(b) 4.8 m
(c) 25 m/s
Step-by-step explanation:
(a) Writing an equation to fit a bunch of data is often a matter of trial and error. You can often get an idea of the sort of function that is involved by graphing the data points.*
When we do that, we see the relationship is non-linear with an upward curvature. It might be described by a polynomial or exponential function.
When we try a quadratic equation, we find the fit is really quite good. The graphing calculator that does this quadratic regression analysis tells us the equation is essentially ...
d = 0.012·v^2
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(b) The equation predicts a depth of 4.8 m.
d = 0.012·20^2 = 4.8
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(c) Solving for speed, we get a speed of 25 m/s.
7.5 = 0.012v^2
625 = v^2 . . . . . . divide by .012
25 = v . . . . . . . . . take the square root
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* The energy of a falling object is proportional to the square of its speed. If we assume that the depth of penetration into the clay is proportional to the energy absorbed, then it is not surprising to see a quadratic relationship between speed and distance. What is surprising is that this relationship would show up in middle school math problem, not a high-school physics problem.
Essentially, you have to assume the form of the equation, then find the coefficients that make it so. Working with the evenly spaced table values of 5, 10, 15 m/s can simplify the effort.
A graphing calculator or spreadsheet can do the bulk of the work once the data is entered.
Answer:
Option D) 340
Step-by-step explanation:
We are given the following in the question:
Alpha, α = 0.05
Population standard deviation, σ = $47
Margin of error = 5
95% Confidence Interval:
Putting the values, we get,
Thus, the correct answer is
Option D) 340
Answer:
The answer is <u>C.</u> 0.08x + $156.00 = r.
Step-by-step explanation:
Given:
Oprah makes $156.00 per day plus an additional 8% commission on her sales.
She sold x dollars worth.
Now, to find equation how much Oprah made in one day, r.
As. given in question:
She makes per day = $156.00.
Worth of sold =
Commision on her sales = 8%.
And one day =
Now, to get the equation Oprah made in one day:
<em>Thus, the equation is</em>
Therefore, the answer is C. 0.08x + $156.00 = r.