Answer:
After 1 second, the ball will reach a maximum height of 16 feet
Step-by-step explanation:
The height of the ball after t seconds: h(t) = -16t^2 + 32t
The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola
t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second
then
h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16
After 1 second, the ball will reach a maximum height of 16 feet
Answer:
Your answer is 8
Step-by-step explanation:
You want to look at the measurements and then turn them into fractions, 12/x=24/16. You cross multiply and then divide by 24x. More work below
Given :
Perimeter of rectangular filed , P = 316 yards.
The length of the field is 4 yards less than twice its width.
To Find :
The dimensions of the playing field.
Solution :
Let, width be x.
So, by given condition length will be 2x - 4.
Perimeter is given by :
P = 2( l + b )
316 = 2( 2x - 4 + x )
3x - 4 = 158
x = 54 yards.
So, the dimensions are 54 yards and 104.
Hence, this is the required solution.
Answer:
n = 400
Step-by-step explanation:
The formula for the error in our estimate is given by:
Standard Error : √ ( p(1-p)/ n)
Error = SE = Zα/2 √ ( p(1-p)/ n) where
Zα/2= critical value for 95% confidence level = 1.96
and we know our error is 3.5 %
But we do not the sample proportion p. Then what we can do is give an estimate of p in the absence of any other information.
In this case we will use p= 0.5 which is the value that maximizes the expression for the standard error :
if p = 0.8 then SE= 0.040
p = 0.3 then SE =0.036
p = 0.1 then SE = 0.030
p = 0.5 then SE = 0.050
Substituting
3.5/100 = 1.96 x √ (( 0.5 x 0.5 ) /n )
3.5/ (100 x 1.96 x 0.5 ) = 1/ √n
0.0357 = 1 /√n
n = 20²
n = 400
Answer: Uhhhhhh
Step-by-step explanation:
