Answer:
t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))
Step-by-step explanation:
Solve for t:
z = (h t^2)/2 + t q_1
z = (h t^2)/2 + t q_1 is equivalent to (h t^2)/2 + t q_1 = z:
(h t^2)/2 + t q_1 = z
Divide both sides by h/2:
t^2 + (2 t q_1)/h = (2 z)/h
Add q_1^2/h^2 to both sides:
t^2 + (2 t q_1)/h + q_1^2/h^2 = (2 z)/h + q_1^2/h^2
Write the left hand side as a square:
(t + q_1/h)^2 = (2 z)/h + q_1^2/h^2
Take the square root of both sides:
t + q_1/h = sqrt((2 z)/h + q_1^2/h^2) or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)
Subtract q_1/h from both sides:
t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)
Subtract q_1/h from both sides:
Answer: t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))
Answer:
hold on..
Step-by-step explanation:
Answer:
All 600 members of the club are population of this study
Step-by-step explanation:
There is difference in population of study and the samples taken from that population. All the 600 members of the club are actually the population of this study whereas the 50 members taken out of these 600 members are basically the sample of data. In order for us to carry out the surveys easily, we select a sample from the whole population. The sample has smaller number as compared to the whole population making it easier for us to carry out survey.
6, I guess. 1 red and 6 green, 2 red and 5 green. 3 red and 4 green, 2 green and 5 red, 1 green and 6 red, 3 green and 4 red,
Answer:
x = 5/4
Step-by-step explanation:
By combining like terms, you get 8x = 10.
Divide the 8 on both sides of the equation.
x = 10/8
This, however, can be simplified by dividing by 2. This ultimately gives us 5/4.