From the problem, the vertex = (0, 0) and the focus = (0, 3)
From the attached graphic, the equation can be expressed as:
(x -h)^2 = 4p (y -k)
where (h, k) are the (x, y) values of the vertex (0, 0)
The "p" value is the difference between the "y" value of the focus and the "y" value of the vertex.
p = 3 -0
p = 3
So, we form the equation
(x -0)^2 = 4 * 3 (y -0)
x^2 = 12y
To put this in proper quadratic equation form, we divide both sides by 12
y = x^2 / 12
Source:
http://www.1728.org/quadr4.htm
Answer:Multiply by the reciprocal, also sometimes referred to as "Keep, Change, Flip." Here is how it works. You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.
Step-by-step explanation:
Equation:
a = 5120
r = 1 + .2 = 1 . 2
f (n ) = 5120 * 1 . 2^n - 1
N = 4 years
f ( 4 ) 5120 * 1 . 2^4 - 1
5120 * 1 . 2^3
We want to know, The number of Highway Accidents in Four Years.
Answer: 8,847 Highway Accidents total:
Hope that helps!!!!!!!!!!! : )
Answer:
D) a chi square test for independence.
Step-by-step explanation:
Given that we suspect that automobile insurance premiums (in dollars) may be steadily decreasing with the driver's driving experience (in years), so we choose a random sample of drivers who have similar automobile insurance coverage and collect data about their ages and insurance premiums.
We are to check whether two variables insurance premiums and driving experience are associated.
Two categorical variables are compared for different ages and insurance premiums.
Hence a proper test would be
D) a chi square test for independence.
Answer:
W= 27 k J
Step-by-step explanation:
Given that
mass ,m = 90 kg
Height , h= 30 m
angle , θ = 25°
The work done by escalator is given as follows
W = m g h
Work done by escalator does not depends on the angle ,it depends only on height.
Now by by putting the values in the above equation we get
W= 90 x 10 x 30 J ( take g = 10 m/s² )
W= 27000 J
W= 27 k J
Therefore work done by escalator will be 27 k J.
