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VLD [36.1K]
3 years ago
13

The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15

story building. From what height, in feet, was the ball dropped?
Mathematics
1 answer:
RideAnS [48]3 years ago
8 0

The ball is dropped from a building and the quadratic function which models the ball`s height is:

h ( t ) = - 16.1 t² + 150

We can find the initial height if we calculate h ( 0 ), or the height for : t = 0 sec.

h ( 0 ) = -16.1 · 0² + 150 = 0 + 150 = 150 ft

Answer:

The ball was dropped from 150 feet.

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I need to find the derivative. I’m not very good at this so I am answer asap would be sosososo helpful
Bingel [31]

Answer:

See below.

Step-by-step explanation:

First, notice that this is a composition of functions. For instance, let's let f(x)=\sqrt{x} and g(x)=7x^2+4x+1. Then, the given equation is essentially f(g(x))=\sqrt{7x^2+4x+1}. Thus, we can use the chain rule.

Recall the chain rule: \frac{d}{dx}[f(g(x))]=f'(g(x))\cdot g'(x). So, let's find the derivative of each function:

f(x)=\sqrt{x}=x^\frac{1}{2}

We can use the Power Rule here:

f'(x)=(x^\frac{1}{2})'=\frac{1}{2}(x^{-\frac{1}{2}  })=\frac{1}{2\sqrt{x}}

Now:

g(x)=7x^2+4x+1

Again, use the Power Rule and Sum Rule

g'(x)=(7x^2+4x+1)'=(7x^2)'+(4x)'+(1)'=14x+4

Now, we can put them together:

y'=f'(g(x))\cdot g'(x)=\frac{1}{2\sqrt{g(x)}} \cdot (14x+4)

y'=\frac{14x+4}{2\sqrt{7x^2+4x+1} } =\frac{7x+2}{\sqrt{7x^2+4x+1} }

5 0
3 years ago
A circle is cut from a square piece of cloth, as shown: How many square inches of cloth are cut from the square? (π = 3.14)
Vinil7 [7]

Answer:

2122.64 in^2

Step-by-step explanation:

Use the formula for the area of a circle: A=πr^2

The radius will be half the width of the cloth so 52÷2=26

26^2=676

Multiply by π given as 3.14

676×3.14=2122.64 square inches.

The symbol (carat) ^ is used to indicate an exponent when the keyboard doesn't have superscript.

8 0
3 years ago
PLZ help thnx
Pepsi [2]

Answer:

A) $40

B) 40M = P

C)  $3,120

Step-by-step explanation:

Given that at her salon, last week Tammy did 25 manicures and collected $ 1000, to calculate the slope to represent the manicures, write an equation to represent this relation and determine how much would Tammy make if she did 78 manicures in a month the following calculations should be performed:

A)

1000/25 = X

40 = X

Thus, each manicure costs $ 40.

B)

40M = P

C)

78 x 40 = X

3.120 = X

So if she did 78 manicures in a month, Tammy would earn $ 3,120.

8 0
3 years ago
I need help !!!PLEASE
il63 [147K]

Answer:

answer

volume= 252 yd^3 .

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3 years ago
Greg is participating in a 4 -day cross-country biking challenge. He biked for 63 , 54 , and 62 miles on the first three days. H
KatRina [158]
Greg needs to bike 57 miles on the last day so that his average is 59 miles per day.
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3 years ago
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