Chris ran three times last week. Here are the distances he ran (in kilometers).
1 answer:
You might be interested in
9514 1404 393
Answer:
671 feet
Step-by-step explanation:
There are a couple of ways to figure this. One is to use a sort of shortcut equation to find the distance traveled (d) by an object when subject to some initial velocity (v) and acceleration (a). Here the acceleration due to gravity is -32 ft/s².
v² = 2ad
d = v²/(2a) = (192 ft/s)^2/(2·32 ft/s²) = 576 ft
This height is in addition to the starting height of 95 ft, so the arrow's maximum height is ...
max height = 95 ft + 576 ft = 671 ft
__
Another way to work this problem is to start with the equation for ballistic motion. Filling in the given initial velocity and height, we have ...
h(t) = -16t^2 +192t +95
The time the arrow reaches the maximum height is the time representing the axis of symmetry of the parabola:
t = -(192)/(2(-16)) = 6
Then the maximum height is ...
h(6) = -16·6^2 +192·6 +95 = 671
The maximum height is 671 feet.
__
<em>Additional comment</em>
For the standard-form quadratic ...
y = ax^2 +bx +c
The axis of symmetry is ...
x = -b/(2a)
Answer:
Step-by-step explanation:
Given that A perfume company claims that the mean weight of ther new perfume is at least 8.9 fluid oz
For testing this claim, in Statistics we perform a certain measures called hypothesis testing.
For this first step is to create null and alternate hypothesis.
Normally null hypothesis would have some statistic = something
Here we want to test the mean weight of perfume
Hence null hypothesis would be
H0: mu = 8.9 fl oz.
Alternate hypothesis would be opposite of this claim
i.e.
Ha: mu ≠8.9 fluid oz
Hence answer is
<h3>What is the value of the sum 1/3 + 2/3+ 2/3+ 4/3 + 5/3+6/3+7/3+8/3</h3><h2>ANSWER</h2>
Decimal Form:
Mixed nunber Form: