3x3x3x3 = 81
x.x.x.x = x^4
2x2x2x2 = 16
B. 81x^4/16
The equation modeling the height of the ball at time,t is given by h=-16t²+48t+6
<span>a. In how many seconds does the ball reach its maximum height?
Time taken for the ball to reach the maximum height will be given by:
h'(t)=-32t+48=0
finding the value of t we get:
32t=48
t=48/32
t=1.5 seconds
Thus the time taken for the ball to reach the maximum time is 1.5 seconds
b]</span><span> What is the ball’s maximum height?
The maximum height will be:
h(1.5)=-16(1.5)</span>²+48(1.5)+6
h(1.5)=42 fee
Answer:
Company B
Step-by-step explanation:
We would use z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
let x = 260 with the mean μ1 = 276 and standard deviation σ = 5.8
let x = 260 with the mean μ2 = 252 and standard deviation σ = 3.4
z1 = (x- μ1) / σ = (260- 276) / 5.8 = -2.7586206897 = -2.76
z2 = (x2 - μ) / σ = (260 -252) / 3.4= 2.3529411765 = 2.35
Comparing the two z scores, we can see that company B has the probability of producing 260 nails because it has a z score of 2.35 compared to company A with a z score of -2.76.
Calculate volumes
v=lwh
vinitial=6*5*5=150
vnew=6*15*15=1350
new/initial=1350/150=9
9 times
