Answer:
- Josh's book lands first
- Ben's lands about 0.648 seconds later
Step-by-step explanation:
Using the given equation for v=60 and s=40, the height of Ben's book is ...
h(t) = -16t² +60t +40
We want to find t when h(t) = 0, so we're looking for the solution to ....
0 = -16t² +60t +40
Using the quadratic formula, we find the positive value of t to be ...
t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277
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Similarly, the height of Josh's book is ...
0 = -16t² +48t +40
t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794
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The time before Josh's book lands is shorter by ...
4.3277 -3.6794 ≈ 0.6482 . . . . . seconds
Josh's book reaches the ground first, by about 0.648 seconds.
There would be 8 cups of water in each bottle because 16 divided by 2 is 8.
Answer:
Greater than or equal to, or D.
p = 12x is the function rule to calculate the total number of pens when you know the number of boxes
<em><u>Solution:</u></em>
Given that,
Pen are shipped to the office supply store in boxes of 12 each
To find: Write a function rule to calculate the total number of pens when you know the number of boxes
Let "p" be the total number of pens
Let "x" be the number of boxes
Number of pens in each box = 12
Then from given information,
Total number of pens = Number of boxes multiplied by number of pens in each box
Thus the function rule is found
Hello! My work for this problem is attached below. The answer is
Vb = 4Va
