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mestny [16]
3 years ago
10

Mandy throws a stone off a bridge into the river below. The stones height above the water in meters h(t) after t seconds is meas

ured using function h(t) = -16t^2+32t+43. What is the initial height of the stone?
Mathematics
1 answer:
barxatty [35]3 years ago
3 0

Answer:

The initial height of the stone is 43 meters.  

Step-by-step explanation:

We have, the height followed by stone as a function of time t is given by :

h(t)= -16t^2+32t+43

It is required to find the initial height of the stone. We know that initial height means height when t = 0. Putting t = 0 in above equation such that,

h(0)= -16(0)^2+32(0)+43\\\\h=0+0+43\\\\h=43\ m

So, the initial height of the stone is 43 meters.  

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Answer:

it 51 by 14

explained

51×2 by 28

51×1 by 14

it =51 by 14

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4 years ago
What would you do if u got hurt really bad and how would u deal with it???? 5 sentences
patriot [66]

Answer:

1.) Pray to Jesus. 2.) Go to the nurse, she'll give you an mint. 3.) If you're lucky an ice pack. 4.) Rethink life decisions. 5.) Go back to classroom

Step-by-step explanation:

4 0
3 years ago
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Moe puts $1500 in a bank certificate that pays an annual rate of 4.5% compounded annually. No withdrawals or deposits are made.
SpyIntel [72]

Answer:

FV= $2,041.29

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,500

Number of periods (n)= 7 years

Interest rate (i)= 4.5% = 0.045

<u>To calculate the future value, we need to use the following formula:</u>

FV= PV*(1+i)^n

FV= 1,500*(1.045^7)

FV= $2,041.29

6 0
3 years ago
The graph for a stable that charges a $20 flat fee plus $10 per hour for horseback riding is shown below.
Molodets [167]

Answer:

Step-by-step explanation:

Your first equation is y=10x+20

Your slope is 10 and your y-intercept is 20 in this first equation

Your second equation after it has changed, your new equation is y=30x+45

Your slope is 30 and your y-intercept is 45 in this second equation

I hope this helps!

8 0
2 years ago
Math help Please!!!!
GalinKa [24]

Part A. What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7?

Rewrite the equation  −2y=3x+7 in the form y=-\dfrac{3}{2}x-\dfrac{7}{2}. Here the slope of the given line is  m_1=-\dfrac{3}{2}. If m_2 is the slope of perpendicular line, then

m_1\cdot m_2=-1,\\ \\m_2=-\dfrac{1}{m_1}=\dfrac{2}{3}.

Answer 1: \dfrac{2}{3}

Part B. The slope of the line y=−2x+3 is -2. Since -\dfrac{3}{2}\neq -2\quad \text{and}\quad \dfrac{2}{3}\neq -2, then lines from part A are not parallel to line a.

Since -2\cdot \left(-\dfrac{3}{2}\right)=3\neq -1\quad \text{and}\quad -2\cdot \dfrac{2}{3}=-\dfrac{4}{3}\neq -1, both lines are not perpendicular to line a.

Answer 2: Neither parallel nor perpendicular to line a

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b=-10.

Answer 3: 2x+5y=-10.

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7=-4·2+b,

b=7+8,

b=15.

Answer 4: y=-4x+15.

Part E. Consider vectors \vec{p}_1=(-c-0,0-(-d))=(-c,d)\quad \text{and}\quad \vec{p}_2=(0-b,a-0)=(-b,a). These vectors are collinear, then

\dfrac{-c}{-b}=\dfrac{d}{a},\quad \text{or}\quad -\dfrac{a}{b}=-\dfrac{d}{c}.

Answer 5: -\dfrac{a}{b}=-\dfrac{d}{c}.

5 0
4 years ago
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