Answer:
The answer is C.
Step-by-step explanation:
Given formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height.
In this case, the initial postion is a platform 30ft above ground so h0=+30
The initial velocity is 38 ft/s straight up into the air so v0=+38
h(t)=-16t2+38t+30
When the object hits the ground, h=0.
h=-16t2+38t+30=0
Simplifying 8t2-19t-15=0
(8t+5)(t-3)=0
t=-5/8 or 3
As time cannot be -ve, t=3s. The answer is C.
The slope intercept form of the equation 12x ₊ 8y = ₋24 is
y = ₋3/2 x ₋ 3
Given the equation is 12x ₊ 8y = ₋24
we are asked to convert the given equation into slope intercept form.
Finding a line's equation requires using the slope-intercept form of a straight line. We must know both the line's slope and the point at which the line crosses the y-axis in order to use the slope-intercept formula.
12x ₊ 8y = ₋24
⇒ 12x ₊ 8y ₊ 24 = 0
we re-arrange the equation of the line to write it in the standard form
y = mx + b.
12x ₊ 8y = ₋24
8y = ₋12x ₋ 24
now divide the terms on the right side by 8.
y = ₋12x/8 ₋ 24/8
y = ₋3/2x ₋ 3
hence we get the slope intercept form as y = ₋3/2x ₋ 3, where m=s₋3/2 and b = ₋3
Learn more about Coordinate geometry here:
brainly.com/question/11337174
#SPJ9
I’d need to know the question to answer this.
Answer:
Even
Divisible by 2
2x=y
.5y=x
Step-by-step explanation:
Answer:
The 95% confidence interval for the true mean length of the shafts is ($3402.08, $4142.75).
Step-by-step explanation:
A (1 - <em>α</em>)% confidence interval for true mean (<em>μ</em>), when the population standard deviation is known is:
If the population standard deviation is not known, then the confidence interval for true mean is:
A 95% confidence interval for true mean is an interval estimate of the population mean. The interval has 0.95 probability of consisting the true value of the population mean.
It is provided that the 95% confidence interval for mean, based on a sample of size 30 is ($3402.08, $4142.75).
This interval implies that the true mean value is between $3402.08 and $4142.75 with 95% confidence.
Thus, the 95% confidence interval for the true mean length of the shafts is ($3402.08, $4142.75).
