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Harlamova29_29 [7]
2 years ago
9

A projectile is fired straight up from ground level with an initial velocity of 112ft/s. It’s height, h, above the ground after

t seconds is given by h=-16t2+112t. What is the interval of time during which the projectile’s height exceeds 192 feet?
Mathematics
1 answer:
Tom [10]2 years ago
8 0

Answer:

t = 3 s and t = 4 s

Step-by-step explanation:

Given that,

A projectile is fired straight up from ground level with an initial velocity of 112ft/s. Its height as a function of time t is given by :

h=-16t^2+112t

We need to find the interval of time during which the projectile’s height exceeds 192 feet. It means put h = 192 feet

So,

-16t^2+112t=192\\\\-16t^2+112t-192=0

The above is a quadratic equation, it can be solved using middle term splitting as follow :

16 (t^2 - 7t + 12) = 0\\\\16 (t - 4)(t - 3) = 0\\\\t=4\ s\ \text{and}\ t=3\ s

Hence, at t = 3 s and t = 4 s, the projectile’s height exceeds 192 feet above the ground.

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F(x)=-2x-1 and g(x)=x^2-1. Find (fog)(-5).
serg [7]

Answer: - 49

Step-by-step explanation:

f(x) = -2x - 1

g(x) = x^{2} - 1

fg(x) = f (x^{2} - 1) , we just put in the value of g(x) , the next thing is to substitute x^{2} - 1 for the value of x in f(x) , that is

fg(x) = -2(x^{2} - 1) - 1

fg(x) = -2x^{2} + 2 - 1

fg(x) = -2x^{2} + 1

Therefore : fg(-5) means we will substitute -5 for x in fg(x) , that is

fg(-5) = -2 ((-5)^{2} + 1

fg(-5) =  -2(25) + 1

fg(-5) = -50 + 1

fg(-5) = -49

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3 years ago
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
klemol [59]

Answer:

A. (-3,1)

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8 0
2 years ago
F(3) = 25
grandymaker [24]

Answer:

Which statement best explains how enzymes speed up a chemical reaction?

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Step-by-step explanation:

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Drag the numbers to order them from greatest to least, with the greatest at the top.
astraxan [27]

Step-by-step explanation:

5.03709

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You want to know the mean number of sick days taken by students in your county last year. At each of five schools you randomly s
Assoli18 [71]

Answer:

4

Step-by-step explanation:

Add each sample separately

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Then you add them all together which totals 200 sick days

We know that they surveyed 5 schools and 10 students at random from each one. So we want to know the mean of sick days the students took not the schools in all.

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