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Alexandra [31]
3 years ago
15

The function d(s) = 0.0056s squared + 0.14s models the stopping distance

Mathematics
1 answer:
victus00 [196]3 years ago
4 0

Answer:

The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

Step-by-step explanation:

Let be d(s) = 0.0056\cdot s^{2} + 0.14\cdot s, where d is the stopping distance measured in metres and s is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.

The procedure to find the speed related to the given stopping distance is described below:

1) Construct the graph of d(s).

2) Add the function d = 7\,m.

3) The point of intersection between both curves contains the speed related to given stopping distance.

In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

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What is the product of the two matrices? Fill in the missing elements of the resulting matrix.​
olganol [36]

The product of the given two matrices comes out to be \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

Here we are given the 2 matrices as follows-

\left[\begin{array}{ccc}7&-2\\-6&2\end{array}\right] \left[\begin{array}{ccc}1&1\\3&3.5\end{array}\right]

To find the product of 2 matrices, the number of columns in the first matrix must be equal to the number of rows in the second matrix.

Here since both of the matrices are 2 × 2, their product is possible.

Now, to find the product, we need to multiply each element in the first row by each element of the 1st column of the second matrix and then find their sum. Similarly, we do this for all rows and columns.

Therefore,

\left[\begin{array}{ccc}(7*1)+(-2*3)&(7*1)+(-2*3.5)\\(-6*1)+(2*3)&(-6*1)+(2*3.5)\end{array}\right]

= \left[\begin{array}{ccc}(7)+(-6)&(7)+(-7)\\(-6)+(6)&(-6)+(7)\end{array}\right]

= \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

Thus, the product of the given two matrices comes out to be \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

Learn more about matrices here-

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3 0
1 year ago
Rashaads sister gives him 2 packs of baseball cards per month each pack has 11 cards. She gives him 3 extra packs for his birth
Svetradugi [14.3K]

Answer:

297 cards in a year

Step-by-step explanation:

There are 12 months in a year, and he gets 2 packs of cards every month.

12*2 = 24 packs of cards a year

He gets 3 extra packs of cards for his birthday.

24 + 3 = 27 packs of cards

There are 11 cards in each pack.

27 X 11 = 297 cards in a year

5 0
3 years ago
Out of 75/6 is 72%. (Write as a fraction in simplest form.)
Vinvika [58]

Answer:22%

Step-by-step explanation:

7 0
3 years ago
The graph could be divided up into three different periods of relatively consistent ticket price change: The years 1980 – 1988,
Alex17521 [72]

In time period of 1980-1988 the rate of ticket price is $0.2 per year
Between time period 1989-1993 there is constant rate.
Between year 1994-2011 the increase in rate is same $0.2 per year

The graph could be divided up into three different periods of relatively consistent ticket price change: The years 1980 – 1988, 1989 – 1993 and 1994 – 2011.

<h3>What is Statistic?</h3>

The statistic is the study of mathematics which deal with relations between comprehensive data.

The graph is not available, in the question, so the graph could be as attached
For period 1980-1988
rate of change = 4.2-2.8/ 8 = 0.2
In time period of 1980-1988 the rate of ticket price is $0.2 per year

for period 1989-92 there is a straight line so,
Between time period 1989-1993 there at constant rate.

For period, 1994-2011

rate of change = 4.4-8/17 = 0.2
Between year 1994-2011 the increase in rate is same $0.2 per year

Thus, for the 3 Time period we have rate of change in ticket price is $0.2 per year, no change in ticket price, $0.2 per year respectively.

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5 0
2 years ago
A cliff diver jumps from a ledge 96 feet above the ocean with an initial upward velocity of 16 feet per second. How long will it
Nimfa-mama [501]
In my opinion it would be about 36 seconds

5 0
3 years ago
Read 2 more answers
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