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AlladinOne [14]
3 years ago
13

Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3 where h(t) is the height i

n meters of their rocket seconds after launch.
Mathematics
1 answer:
kumpel [21]3 years ago
8 0

Answer:

30m

Step-by-step explanation:

<em>Since we are not told what to look for, we can find the maximum height reached by the rocket</em>

Given the rocket's flight approximately modeled by the equation

h(t) = - 12t ^ 2 + 36t + 3

At maximum height dh/dt = 0

dh/dt =  --24t + 36

0 = -24t + 36

24t = 36

t= 36/24

t = 1.5s

Get the max height

h(1.5) =  - 12 (1.5)^ 2 + 36(1.5) + 3

h(1.5) = - 12(2.25) + 54 + 3  

h(1.5) = -27 + 57

h(1.5) = 30m

Hence the maximum height reached by the rocket is 30m

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KatRina [158]

Answer:

The probability that a corn crop has either an ear worm infestation, a corn borer infestation

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Step-by-step explanation:

<u>Explanation</u>:-

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Let 'E' be the event that a corn crop has an infestation of ear worms

let 'B' be the event that a corn crop has an infestation of corn bores

P(EUB) = P(E) +P(B) -P(E n B)

given P(E) = 0.24 and P(B) = 0.16 and P(E n B) =0.13

P(EUB) = P(E) +P(B) -P(E n B)

P(EUB) = 0.24 + 0.16 - 0.13

           = 0.27

The probability that a corn crop has either an ear worm infestation, a corn borer infestation

P(EUB)=0.27

7 0
3 years ago
Help help help help help
dolphi86 [110]

Answer:

x = <u>12/5</u>

Step-by-step explanation:

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<u>Step 1:  Make an equation</u>

10/6 = 4/x

<u>Step 2:  Cross Multiply</u>

10x = 24

<u>Step 3:  Divide</u>

10x / 10 = 24 / 10

24/10 = 12/5

x = 2.4

5 0
3 years ago
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Jill and Gary share £63 in the ratio 2:5<br> Work out how much each person gets.
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Answer:

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