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DochEvi [55]
2 years ago
7

A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=72t-16t^2. After how l

ong will it reach its maximum height?
Mathematics
2 answers:
Dahasolnce [82]2 years ago
8 0

Answer:

<h2>h(x) = 72t - 16t^2 h in feet - t in seconds</h2><h2 /><h2>This is a formula that models the velocity of a thrown ball.</h2><h2 /><h2 /><h2 /><h2>When the ball has reached the maximum height acceleration is 0.</h2><h2 /><h2 /><h2 /><h2>The formula for the acceleration for this equation is the derivative of the original equation.</h2><h2 /><h2>This equation is 72 - 32t.</h2><h2 /><h2>Set the equation to 0.</h2><h2 /><h2 /><h2 /><h2>0 = 72 - 32t t in seconds</h2><h2 /><h2 /><h2 /><h2>32t = 72</h2><h2 /><h2>t = 2.25 seconds.</h2><h2 /><h2 /><h2 /><h2>Subtitute 2.25 into the original equation.</h2><h2 /><h2>72(2.25) - 16(2.25^2) = h in feet</h2><h2 /><h2>162 - 16(5.0625) = h in feet</h2><h2 /><h2>162 - 81 = h in feet</h2><h2 /><h2>81 feet = h</h2>

Step-by-step explanation:

<u>#CARRY</u><u> </u><u>ON</u><u> </u><u>LEARNING</u><u> </u>

galben [10]2 years ago
4 0

Answer:

i coulnt answer this i love you

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ludmilkaskok [199]

Answer:

2/5

Step-by-step explanation:

There's 5 jellybeans in the bag total and of the five, 2 of them are red, so the probability that Cynthia gives him 2 reds is 2/5.

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2 years ago
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Football is selling boxes of candy as a fundraiser.Ms. South ordered three small boxes and two large box fora total of $36. Chri
JulsSmile [24]

Answer: The price of each small box is $4.8  and the price of each large box is $10.8.

Step-by-step explanation:

Let x = Price of each small box, y= price of each large box.

As per given,

3x+2y= 36  ...(i)

4x+y= 30  ...(ii)

Multiplying 2 to (ii), we get

8x+2y =60...(iii)

Subtract (i) from (iii), we get

5x= 24

x= 4.8

From (ii)

4(4.8)+y= 30

19.2+y=30

y= 10.8

Hence, the price of each small box is $4.8  and the price of each large box is $10.8.

5 0
3 years ago
There are 12 third-grade students and 15 fourth-grade students in the band.
ohaa [14]

Answer:

12+15=27 total students, each car can seat 4, so 27/4=6.75, you would round up to 7 bc you can't have 3/4ths of a car

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Csf%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%5Ccfrac%7B%5Csqrt%7Bx-1%7D-2x%20%7D%7Bx-7%7D" id=
BARSIC [14]
<h3>Answer:  -2</h3>

======================================================

Work Shown:

\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{x-1}-2x }{ x-7 }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \frac{1}{x}\left(\sqrt{x-1}-2x\right) }{ \frac{1}{x}\left(x-7\right) }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \frac{1}{x}*\sqrt{x-1}-\frac{1}{x}*2x }{ \frac{1}{x}*x-\frac{1}{x}*7 }\\\\\\

\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{\frac{1}{x^2}}*\sqrt{x-1}-2 }{ 1-\frac{7}{x} }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{\frac{1}{x^2}*(x-1)}-2 }{ 1-\frac{7}{x} }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{\frac{1}{x}-\frac{1}{x^2}}-2 }{ 1-\frac{7}{x} }\\\\\\\displaystyle L = \frac{ \sqrt{0-0}-2 }{ 1-0 }\\\\\\\displaystyle L = \frac{-2}{1}\\\\\\\displaystyle L = -2\\\\\\

-------------------

Explanation:

In the second step, I multiplied top and bottom by 1/x. This divides every term by x. Doing this leaves us with various inner fractions that have the variable in the denominator. Those inner fractions approach 0 as x approaches infinity.

I'm using the rule that

\displaystyle \lim_{x\to\infty} \frac{1}{x^k} = 0\\\\\\

where k is some positive real number constant.

Using that rule will simplify the expression greatly to leave us with -2/1 or simply -2 as the answer.

In a sense, the leading terms of the numerator and denominator are -2x and x respectively. They are the largest terms for each, so to speak. As x gets larger, the influence that -2x and x have will greatly diminish the influence of the other terms.

This effectively means,

\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{x-1}-2x }{ x-7 } = \lim_{x\to\infty} \frac{ -2x }{ x} = -2\\\\\\

I recommend making a table of values to see what's going on. Or you can graph the given function to see that it slowly approaches y = -2. Keep in mind that it won't actually reach y = -2 itself.

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2 years ago
What is 3% in decimal form
AfilCa [17]
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Because percentages are out of 100, the resulting fraction would be 3/100.

Next, to find the decimal, we would just divide the fraction (numerator divided by denominator).

3 % = 3/100 = 0.03
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2 years ago
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