Step-by-step explanation:
19 + 8 = n/3
27 = n/3 (multiply both sides with 3)
81=n
Answer:
y = 33.75 m/s.
Step-by-step explanation:
The graph of the rocket's velocity with respect to time looks as follows :
...(1)
Where x is time in seconds
We need to find the velocity of rocket after 15 seconds. Put x = 15 in equation (1).
Hence, the speed of the rocket after 15 seconds is 33.75 m/s.
Answer:
B)3 = 5x2 – 10x
D)8 = 5(x2 – 2x + 1)
G) = (x – 1)2
Step-by-step explanation:
Given quadratic : 3 - 4x = 5x2 - 14x
We need to apply completing the square to solve the equation.
First step is to get rid 4x from left side.
We can add 4x on right side to get rid from left side.
3 = 5x^2-14x+4x
On simplifying this step, we get
3 = 5x^2-10x
Now, we need to factor out 5 from right side to get the coefficient of x^2 as 1.
We get,
3 = 5(x^2-2x)
Now, coefficient of x is -2. So, we need to add half of the square of -2.
-2/2 = -1.
And square of -1 is 1.
Therefore, adding 1 inside parenthesis and 5×1 = 5 on left side, we get
3+5 = 5(x^2 -2x+1)
8 = 5(x^2 -2x+1)
Let us find the perfect square of (x^2 -2x+1).
(x^2 -2x+1) = (x-1)^2
Therefore, we get
8 = 5(x-1)^2.
So, the above highlighted are steps in the process of completing the square.
Hi!
Since there are 32 students in the class, and each one of them spun the spinner 25 times, the total amount of time that spinner was spun is 32 * 25 = 800. It landed on seven 95 times, so the experimental probability is:
95/800 = 19/160 = 0,11875 = 11,875% or approximately 11,9%
The correct answer is 11,9%.
Hope this helps!