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Jet001 [13]
3 years ago
8

What is the exact distance from (−4, −2) to (4, 6)? 1.√ 100 2.√ 128 3. √24 4.√88

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

Answer:

square root of 128

Step-by-step explanation:

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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
2 years ago
A water park offers two types of membership an unlimited use for $70 per month or a monthly $10 fee and $5 per visit which is th
sveta [45]

Answer:$70 per month

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
This data set represents the number of cups of coffee sold in a caf_ between 8 a.m. and 10 a.m. every day for 14 days.
Elis [28]
Put numbers in order: 4,5,6,6,7,8,9,9,10,10,12,12,14,15

Cut the list into two equal parts: 4,5,6,6,7,8,9 and 9,10,10,12,12,14,15

Find middle numbers: 4,5,6,6,7,8,9 and 9,10,10,12,12,14,15

Lower quartile: 6
Upper quartile: 12

The difference of the values of the first and third quartiles of the data set is 12 - 6 = 6
5 0
3 years ago
Thirteen divided by 1,690
enyata [817]

Answer:

130

Step-by-step explanation:

13 goes into 16 how many times - 1

subtract- you get 390

13 goes into 390 how many times?- 30

Your answer - 130

7 0
3 years ago
Write an equation of the circle with center (-7, 4) and radius 8.
Stels [109]

answer

(x+7)^2 + (y-4)^2 = 64

set up equation

the equation of a circle is (x - h)^2 + (y - k)^2 = r^2

where h is the center x coordinate and k is the center y coordinate

values

from the point (-7,4) we know that h = -7 and k = 4

since the radius is 8, r^2 = 8^2 = 64

plug in values

now that we have all the values, we plug them into (x - h)^2 + (y - k)^2 = r^2

(x - h)^2 + (y - k)^2 = r^2

(x - (-7))^2 + (y-4)^2 = 64

(x+7)^2 + (y-4)^2 = 64

7 0
3 years ago
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