A bungee jumper dives from a bridge over a river. The function ℎ(푡) = −16푡 % +5푡 +250 gives the approximate height h in feet of
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The coordinates of the point S' is (2,1)
Explanation:
Given that the RST has vertices R(0,0), S(10,5) and T(5,-5)
The image R'S'T' is the image of RST after a dilation with center (0,0) and scale factor
We need to determine the coordinates of the point S'
The coordinates of S' can be determined by multiplying both the x and y - coordinates of the point S with the scale factor
Let us consider the x - coordinate of the point S and multiply it with the scale factor
Thus, we have,
x - coordinate of the point S' is given by
Thus, the x - coordinate of the point S' is 2
Similarly, the y - coordinate of the point S' can be determined by multiplying the point S with the scale factor
Thus, we have,
The y - coordinate of the point S' is given by
Thus, the y - coordinate of the point S' is 1
Hence, the coordinates of the point S' is (2,1)
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Answer:
see attached
Step-by-step explanation:
One way to approximate the derivative at a point is by finding the slope of the secant line between points on either side. That is what is done in the attached spreadsheet.
f'(0.1) ≈ (f(0.2) -f(0.0))/(0.2 -0.0) = -5 . . . for example
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Another way to approximate the derivative is to write a polynomial function that goes through the points (all, or some subset around the point of interest), and use the derivative of that polynomial function.
These points are reasonably approximated by a cubic polynomial. The derivative of that polynomial at the points of interest is given in the table in the second attachment. (f1 is a rounding of the derivative function f')
Answer:
(A)The sample comes from a population of tires with 60,000 miles where 5% of tires are worn out.
Step-by-step explanation:
The tire manufacturer has a 60,000 mile warranty for tread life. To verify the authenticity of its claim, it picks a sample of 250 tires (out of the population of tires) that have been used for 60,000 miles.
Given the hypothesis:
: The proportion of tires that are worn out after 60,000 miles is equal to 0.05.
: The proportion of tires that are worn out after 60,000 miles is less than 0.05.
It is assumed that 5% of the tires in the sample are worn out and the hypothesis is formulated to prove or disprove this assumption.