Mathematics, 24.05.2020 05:00 uhhgray

A baseball will reach height h feet after t seconds, as estimated by the formula
h(t) = 2 + 90t - 16t^2
At what time(s) will the baseball be 76 feet high? (Explain how you got the answer/show work in the space provided)

A baseball will reach height h feet after t seconds, as estimated by the formula h(t) = 2 + 90t - 16

Answers: 3

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Answer from: NeverEndingCycle

$t = 1,\dfrac{37}{8} \text{ sec}$

Step-by-step explanation:

We are given the equation h(t) i.e. height h feet in time t:

h(t) = 2 + 90t - 16t^2

We are given that value of h(t) is 76 feet and have to find the value of t.

$\Rightarrow 76=2 + 90t - 16t^2\\\Rightarrow 74= 90t - 16t^2\\\Rightarrow 16t^2 -90t +74=0\\\Rightarrow 8t^2 -45t +37=0\\$

Using factorization method to solve the above quadratic equation:

We know that 45t = 8t + 37t :

$\Rightarrow 8t^2 - 8t - 37t +37 =0\\\Rightarrow 8t(t - 1) - 37(t -1) =0\\\Rightarrow (t - 1)(8t - 37) =0\\\Rightarrow t =1 \text { or } \dfrac{37}{8}$

At time , $\text{t = 1 sec or }\frac{37}{8} \text{ sec}$ , the height of baseball will be 76 feet.

Answer from: Quest

step-by-step explanation:

i found the life tables for the year 2012.

life table of males at age 30. probability of dying between ages x and x+1

total population:

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old.

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

Answer from: Quest

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

The polynomial is a perfect square trinomial of the form a^2-2ab+b^2 9x^2 -12x+4

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A baseball will reach height h feet after t seconds, as estimated by the formula
h(t) = 2 + 90...