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padilas [110]
3 years ago
7

A ball is thrown straight up from the top of a building 132 ft. tall with an initial velocity of 48 ft per second. The distance

Mathematics
2 answers:
arsen [322]3 years ago
6 0

The line of symmetry through the parabola described by s(t) is

... t = -48/(2×(-16)) = 1.5

This is the time at which the ball reaches its maximum height.

... s(1.5) = 132 + 48×1.5 -16×1.5²

... s(1.5) = 132 + 72 - 36 = 168


The maximum height attained by the ball is 168 ft.

egoroff_w [7]3 years ago
6 0

check the picture below.


so the maximum height of the ball is obtained at the vertex's y-coordinate, hmm what is it anyway?


\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
s(t)=132+48t-16t^2
\\\\\\
s(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+48}t\stackrel{\stackrel{c}{\downarrow }}{+132}
\qquad \qquad 
\left(-\cfrac{ b}{2 a}~~~~ ,~~~~  c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left( \qquad ,~~132-\cfrac{48^2}{4(-16)} \right)\implies \left( \qquad ,~~132+\cfrac{2304}{64} \right)
\\\\\\
\left( \qquad ,~~132+36 \right)\implies (\quad ,~\stackrel{feet}{168})

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andreev551 [17]

Answer:

THE ANSWER IS THE PIC lolol

6 0
3 years ago
find the product with the exponent in the simplest form. Then, identify the values of x and y. 6^1/3 * 6^1/4 = 6^x/y
mr Goodwill [35]
<span>6^1/3 * 6^1/4 = 6^x/y

The key to solving this problem is understanding properties of exponents:
If you are multiplying two powers with the same base (in this case the base is 6), the result is the base raised to the power of the two exponents added together.

6^1/3+1/4 = 6^x/y
6^7/12 = 6^x/y
 
So the product would be 6^7/12
x = 7
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6 0
2 years ago
5 The Young family is replacing their central air-conditioning with a high- efficiency unit that costs $11798. The family is off
kari74 [83]

Answer:

12742.84$

Step-by-step explanation:

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6 0
2 years ago
Pls answer this ASAP I need it by the end of the day
iVinArrow [24]

Answer:

No

Step-by-step explanation:

Let's calculate sinA and sinB.

sinA = opposite / hypotenuse = 12 / 20

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Since 12 / 20 ≠ 16 / 20, she is incorrect.

6 0
3 years ago
Suppose that the number of a certain type of computer that can be sold when its price is P (in dollars) is given by a linear fun
Scilla [17]

Answer:

a) N(P) = -6P + 16000

b) slope = -6 computers per dollar

That means the number of computer sold reduce by 6 per dollar increase in price.

c) ∆N = -660 computers

Step-by-step explanation:

Since N(P) is a linear function

N(P) = mP + C

Where m is the slope and C is the intercept.

Case 1

N(1000) = 10000

10000 = 1000m + C ....1

Case 2

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5800 = 1700m + C ....2

Subtracting equation 1 from 2

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m = -6

Substituting m = -6 into eqn 1

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N(P) = -6P + 16000

b) slope = -6 computers per dollar

That means the number of computer sold reduce by 6 per dollar increase in price.

Slope is the change in number of computer sold per unit Change in price.

c) since slope m = -6 computers per dollar

∆P = 110 dollars

∆N = m × ∆P

Substituting the values,

∆N = -6 computers/dollar × 110 dollars

∆N = -660 computers.

The number of computer sold reduce by 660 when the price increase by 110 dollars

7 0
3 years ago
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