Answer:
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Step-by-step explanation:
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Answer:
1. force applied to the cart
2. acceleration of the cart
3. mass of the cart
4. acceleration of the cart
Step-by-step explanation:
correct on edge !
60%
Solve by creating a proportion
27/45 = x/100
Cross multiply to get 2700=45x
Divide 45 on both sides to get x=60
<span>Standard deviation is defined as the quantity which expresses by how much the members of a group is different from the mean value for the group.
</span>
The sample standard deviation with a <span>sample variance of hourly wages 10 will be $3.16.
Explanation:
</span><span>The standard deviation is the square root of the variance.
Therefore,
The square root of 10 dollars can be calculated as:
</span>√10 = $3.16
Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
