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8_murik_8 [283]
4 years ago
13

Which transformation carries the trapezoid onto itself?

Mathematics
1 answer:
irina [24]4 years ago
6 0

Answer: rotation

Step-by-step explanation:

only a rotation of 360° about any point will carry each trapezoid onto itself, the nonisosceles trapezoid has no lines of reflection, and the isosceles trapezoid has only one - the line that contains the midpoints of the two parallel sides.

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Assume the exponential growth model ​A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006
Whitepunk [10]

Answer:

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model ​is given by:

A(t) = A_0e^{kt}

where k is the growth rate, t is time in years and A_0 is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

A_0 = 5.9\text{ billions}

We have to find the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Putting these values in the growth model, we have,

24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

8 0
3 years ago
Emails arrive at the server of a company at the rate of an average of 10 per hour. It is assumed that a Poisson process is a goo
fomenos

Answer:

0.37

Step-by-step explanation:

we have given that emails arrives at the server at the rate of 10 per hour means \frac{10}{60}=0.166  per minute

we have to find the probability that the time difference between the two email is more than 2 minute

so probability P\left ( X> 2 \right )=e^{-2\lambda }=e^{-2\times 0.166}=0.7166

4 0
3 years ago
Find the coordinates of the point 13 of the way from A to B.
Travka [436]

Answer:

The answer is 0, 1/3.

Step-by-step explanation:

This is because only at 0 does the line intersect through 1/3.

4 0
3 years ago
What is the range of the relation?​
tia_tia [17]
The correct answer is (-2,1,2,8)

The range are the y- values

The explanation:

The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.

Hope this helped you :D
7 0
3 years ago
9 marbles your draw one what is the probability of drawing a red pen? You have 2 yellow 3 black and 4 reds
Pie

Answer:

4 / 9

Step-by-step explanation:

There are 4 reds out of 9 so the probability would be 4 out of 9 or 4 / 9.

7 0
4 years ago
Read 2 more answers
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