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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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a quarterback is sacked for a loss of 5 yards.On the next day his team loses 15 yards.Then the team gains 12 yards on the third
Veronika [31]

Assume it is first down and ten in this problem. When you lose 5 yards on the sack, you are 5 yards further away. So now, it is second and 15. Then, they lose another 15 yards, so it's now third and 30. The final play is that they gain 12 yards, meaning after all the plays it is fourth down and eighteen yards to go.

In math symbols, 0 is where the first down marker is. You start at -10.

First play, the sack: -10 - 5 = -15

Second play: -15 - 15 = -30

Third play: -30 + 12 = -18.

Looks like you have to punt on fourth down :)

8 0
4 years ago
Read 2 more answers
The price of silver went from $26.40 a troy ounce down to $17.16 a troy ounce during the past 6 months. This represents a decrea
const2013 [10]

There is decrease of 35% in the price of silver in the past 6 months.

<u> Solution: </u>

Given that  

Price of silver went from $26.40 a troy ounce down to $17.16 a troy ounce during past 6 months need to represent this decrease in percentage  

Price of silver before 6 months = initial price = $26.40

Price of silver now = current price = $17.16

Difference in price in 6 months = 26.40 – 17.16 = $9.24

\text { Decrease in percentage }=\frac{\text { Diffrence in } 6 \text { months }}{\text { Initial price }} \times 100

\begin{array}{l}{=\frac{9.24}{26.4} \times 100} \\\\ {=0.35 \times 100=35 \%}\end{array}

Hence there is decrease of 35% in the price of silver in the past 6 months.

3 0
3 years ago
For a random sample of 20 professional athletes, there is a strong, linear relationship between the number of hours they exercis
QveST [7]

Answer:

D) -0.87

Step-by-step explanation:

I took this test don't quote me on the answer but this is what my peers put.

6 0
3 years ago
Can someone please help me with this? I know how to find area &amp; circumference of semi and whole circles. Thank you!
anyanavicka [17]

the area is about 62 in.2

Hope this helps;-)

7 0
3 years ago
Which set represents the range of the function shown{(-1,5),(2,8),(5,3),(13,-4)}
elixir [45]

Answer:

{-4,3,5,8}

Step-by-step explanation:

The function is in (a,b) form. Always remember that range comes after domain. So here a represents the domain and b represents the range.

In the given function:

{(-1,5),(2,8),(5,3),(13,-4)}

The range will be {5,8,3,-4}

We will write it in ascending order

{-4,3,5,8} ....

6 0
3 years ago
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