Answer:
5th term
Step-by-step explanation:
x^2 +3 = 28
Subtract 3 from each side
x^2+3-3 =28-3
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = 5
(x could be -5, but there are not usually negative terms in a sequence)
Sounds like an id 10 t problem
Answer:
36 feet.
Step-by-step explanation:
We have been given that a ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is
. We are asked to find the maximum height of the ball.
We can see that our given equation is a downward opening parabola, so its maximum height will be the vertex of the parabola.
To find the maximum height of the ball, we need to find y-coordinate of vertex of parabola.
Let us find x-coordinate of parabola using formula
.
![x=-\frac{-48}{2(-16)}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B-48%7D%7B2%28-16%29%7D)
![x=-\frac{48}{32}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B48%7D%7B32%7D)
![x=-\frac{3}{2}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B3%7D%7B2%7D)
So, the x-coordinate of the parabola is
. Now, we will substitute
in our given equation to find y-coordinate of parabola.
![h(t)=-48t -16t^2](https://tex.z-dn.net/?f=h%28t%29%3D-48t%20-16t%5E2)
![h(-\frac{3}{2})=-48(-\frac{3}{2})-16(-\frac{3}{2})^2](https://tex.z-dn.net/?f=h%28-%5Cfrac%7B3%7D%7B2%7D%29%3D-48%28-%5Cfrac%7B3%7D%7B2%7D%29-16%28-%5Cfrac%7B3%7D%7B2%7D%29%5E2)
![h(-\frac{3}{2})=-24(-3)-16(\frac{9}{4})](https://tex.z-dn.net/?f=h%28-%5Cfrac%7B3%7D%7B2%7D%29%3D-24%28-3%29-16%28%5Cfrac%7B9%7D%7B4%7D%29)
![h(-\frac{3}{2})=72-4*9](https://tex.z-dn.net/?f=h%28-%5Cfrac%7B3%7D%7B2%7D%29%3D72-4%2A9)
![h(-\frac{3}{2})=72-36](https://tex.z-dn.net/?f=h%28-%5Cfrac%7B3%7D%7B2%7D%29%3D72-36)
![h(-\frac{3}{2})=36](https://tex.z-dn.net/?f=h%28-%5Cfrac%7B3%7D%7B2%7D%29%3D36)
Therefore, the maximum height of the ball is 36 feet.
Given
Answer
The graph touches the x-axis at -6
Hence x = -6 is the zero of the graph.
Answer: ΔKE = 760.5 Joules
Step-by-step explanation:
Isnt the formula for ΔKE = 0.5m*v^2???
Im not going to use that formula you gave me, its wrong.
900/2 = 450
1.3^2 = 1.69
450 x 1.69 = 760.5 Jules
This is also the wrong subject btw