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alexdok [17]
3 years ago
10

What is the slope of the line that passes through the points (-3,12) and (6,24)?

Mathematics
1 answer:
Irina18 [472]3 years ago
7 0

Answer: slope = 4/3

Step-by-step explanation:

(24-12)/(6- -3)

= 12/9

= 4/3

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In 2012, the population of a city was 6.29 million. The exponential growth rate was
RoseWind [281]

9514 1404 393

Answer:

  a) P(t) = 6.29e^(0.0241t)

  b) P(6) ≈ 7.3 million

  c) 10 years

  d) 28.8 years

Step-by-step explanation:

a) You have written the equation.

  P(t) = 6.29·e^(0.0241·t)

__

b) 2018 is 6 years after 2012.

  P(6) = 6.29·e^(0.0241·6) ≈ 7.2686 ≈ 7.3 . . . million

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c) We want t for ...

  8 = 6.29·e^(0.0241t)

  ln(8/6.29) = 0.0241t

  t = ln(8/6.29)/0.0241 ≈ 9.978 ≈ 10.0 . . . years

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d) Along the same lines as the calculation in part (c), doubling time is ...

  t = ln(2)/0.0241 ≈ 28.7613 ≈ 28.8 . . . years

4 0
3 years ago
The area of the parallelogram shown below has an area of 72 units2
nordsb [41]

Answer:

12 units

Step-by-step explanation:

Allow me to revise your question for a better understanding and I hope it will fit the original one.  

The parallelogram shown below has an area of 72 units squared. The base is 6 and the other side is 13 Find the missing height.

Here is my answer:

Given:

The area: 72 units squared.

The base: 6 units

As we know that the area of the parallelogram is represented by below formula:

A = b*h where h is the height and b is the base

In this situation, we know:

72 = 6*h

<=> h = 12

So the missing height is 12 units

Step-by-step explanation:

4 0
3 years ago
Which function produces an output of 5 for an input of -6?
kodGreya [7K]

Answer:

The answer is D

Step-by-step explanation:

Since the input is -6, you input it into the equation. That would make it f(-6)=-(-6)-1 which would be equivalent to f(-6)=6-1 , as the negatives at the beginning of the equation cancel each other out and make it positive. Then you solve and get 5, which is your output. Hope I could help :)

3 0
3 years ago
Which expression is equivalent to the expression shown below?
natka813 [3]

Answer:

vcbnvjhgbvnhtrgbhj hy6tyuk

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Make "a" the subject of:
slamgirl [31]

Answer:

a=m-x^2/k^2

Step-by-step explanation:

(k^2(m-a)) /x=x

K^2(m-a)=x^2

m-a=x^2/k^2

a=m-x^2/k^2

7 0
3 years ago
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