Answer:
vi = 25.28 m/s
Step-by-step explanation:
a = -9.4 m/s²
x = 34 m
vf = 0 m/s
vi = ?
We can apply the equation
vf² = vi² + 2*a*x
⇒ vi = √(vf² - 2*a*x)
⇒ vi = √((0 m/s)² - 2*(-9.4 m/s²)*34 m)
⇒ vi = 25.28 m/s
Answer:
0.14
Step-by-step explanation:
Using the poisson probability relation :
P(x = x) = (λ^x * e^-λ) ÷ x!
From the question ; mean, λ = 5 ; x = 3
Hence,
P(x = 3) = (5^3 * e^-5) ÷ 3!
P(x = 3) = (125 * 0.0067379) / 6
P(x = 3) = 0.8422375 / 6
P(x = 3) = 0.140
Answer: You should cut out squares that are 4 inches by 4 inches.
One of the ways to do this problem is write and graph an equation. We can write an equation for the volume of this shape and then use a graphing calculator to graph it. If we look where the graph crosses 440, we will have our solution.
The volume needs to be 440. If we let x equal the side of the square that is cut out, we have the following dimensions.
Length = 19 - 2x
Width = 18 - 2x
Height = x
Volume = LWH
So our equation could be: y = (19 - 2x)(18 - 2x)x
If you graph that equation, it will intersect at the point (4, 440). Therefore, our square could be 4 by 4 inches.
f(x) = 5x^2 - 4x
g(x) = 5x + 1
Therefore f - g = 5x^2 - 4x - (5x + 1)
= 5x^2 - 4x - 5x -1
= 5x^2 -9x - 1
Hope it helps :)
Answer:
3/40
Step-by-step explanation:
Therefore, the answer is 3/40!