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2 years ago

Bob can cut through a log in two minutes. How long will it take Bob to cut a 24-foot log into 4-foot sections?

Mathematics

2 answers:

defon2 years ago

8 0

24/4 = 6 sections
2 min per section to cut x 6 = 12 minutes total, or 2 x 6 = 12 minutes

ExtremeBDS [4]2 years ago

4 0

Answer:

It will take 6 minutes for Bob to cut 24-foot log into 4-foot sections

Step-by-step explanation:

First: Find out how many sections he has to make

Second: How long does it take to cut 1 section

Third: Multiply Sections x Time taken

Fourth: Answer finished

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A model rocket is launched straight upward. The path of the rocket is modeled by h = -16t2 + 200t, where h represents the height

iren [92.7K]

Answer:

a) 625

b) Yes

c) No

Step-by-step explanation:

a)To calculate the maximum height we can use the derivative to find the slope of the function.

$dh/dt=-32t+200$

To find the slope we make the equation equal to 0:

$-32t+200=0$

$t=200/32$

The slope at 0 is t=200/32=6.25[/tex]

The maximum height at t=6.25 is

$h=-16(6.25^2)+200(6.25)=625$

The maximum height is 625

b) at t=8

$-16(8^2)+200(8)=576$

The height will be 576 which is less than 625

The two x-intercepts are when h=0:

$-16(14^2)+200(14)=-336$

$-16t^2+200t=0$

$-2t^2+25t=0$

$t(-2t+25)=0$

$t=0$

$t=12.5$

The ball is not in the air because the ball will only be in the air from t=0 to t=12.5

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