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KonstantinChe [14]
3 years ago
13

The height, h in feet, of a rocket is given by h=-16t^2+64t+190, where t is time in seconds. Find the maximum height of the rock

et and find the time the rocket was in the air.
Mathematics
1 answer:
erica [24]3 years ago
6 0

Step-by-step explanation:

The height, h in feet, of a rocket is given by, where t is time in seconds.

h=-16t^2+64t+190 ...(1)

We need to find the maximum height of the rocket and find the time the rocket was in the air. For maximum height, put \dfrac{dh}{dt}=0

\dfrac{d(-16t^2+64t+190)}{dt}=0\\\\-32t+64=0\\\\t=\dfrac{64}{32}\\\\t=2\ s

So, it will reach its maximum height in 2 seconds.

Now put t = 2 in equation (1) as follows :

h(2)=-16(2)^2+64(2)+190\\\\=254\ \text{feet}

So, the maximum height of the rocket and find the time the rocket was in the air is 254 feet and 2 seconds respectively.

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Four times the largest of three consecutive odd integers is 36 more than the sum of the other
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If you know how to solve word problems involving the sum of consecutive even integers, you should be able to easily solve word problems that involve the sum of consecutive odd integers. The key is to have a good grasp of what odd integers are and how consecutive odd integers can be represented.

Odd Integers

If you recall, an even integer is always 22 times a number. Thus, the general form of an even number is n=2kn=2k, where kk is an integer.

So what does it mean when we say that an integer is odd? Well, it means that it’s one less or one more than an even number. In other words, odd integers are one unit less or one unit more of an even number.

Therefore, the general form of an odd integer can be expressed as nn is n=2k-1n=2k−1 or n=2k+1n=2k+1, where kk is an integer.

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3 years ago
Please help I will give you brainiest!!!
rusak2 [61]

9514 1404 393

Answer:

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Step-by-step explanation:

This is one of the easiest forms for finding intercepts. To find the x-intercept, set y=0 and divide both sides by the coefficient of x.

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To find the y-intercept, set x=0 and divide both sides by the coefficient of y.

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The x-intercept is -14/9; the y-intercept is 7.

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