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AlekseyPX
3 years ago
15

One estimate of the population of the world on January 1, 2005, is

Mathematics
1 answer:
inn [45]3 years ago
4 0

Answer:

8,566,379,470 people

Step-by-step explanation:

Let's start simple.  In order to find the population increase on January 1, 2006, we need to multiply 6,486,915,022 by 1.4% and add it to 6,486,915,022.

  1. 6,486,915,022*1.4% = 90,816,810.308
  2. 90,816,810.308+6,486,915,022 = 6,577,731,832.31 people on January 2006.

Note that the above two steps gives the same answer as 6,486,915,022*1.014.

So we need to do this for each year.  20 years pass between 1/1/2005 and 1/1/2025.  

We need to do 6,486,915,022*1.014*1.014*1.014... 20 times.

This is equivalent to 6,486,915,022*1.014^{20}.

Multiplying it out gives us 8566379470.2 = 8,566,379,470 people.

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Which linear equation has no solution?
olga_2 [115]

Answer:

Option A

Step-by-step explanation:

Given:

  • a. 3x-5= 3x + 5
  • b. 3x-5= 3x - 5
  • c. 3x - 5 = 2x+5
  • d. 3x-5 = 2x + 10

To find:

  • Which one of the linear equations have no solution.

Solution:

a)  3x-5= 3x + 5

Add 5 to both sides

3x-5= 3x + 5

3x - 5 + 5 = 3x + 5 + 5

Simplify

(Add the numbers)

3x - 5 + 5 = 3x + 5 + 5

3x = 3x + 5 + 5

(Add the numbers)

3x  = 3x + 5 + 5

3x = 3x + 10

Subtract 3x from both sides

3x = 3x + 10

3x - 3x = 3x + 10 - 3

Simplify

(Combine like terms)

3x -3x = 3x + 10 - 3

0 = 3x + 10 - 3

(Combine like terms)

0 = 3x + 10 - 3

0 = 10

The input is a contradiction: it has no solutions

b)  3x-5= 3x - 5

Since both sides equal, there are infinitely many solutions.

c)  3x - 5 = 2x+5

Add 5 to both sides

3x = 2x + 5 + 5

Simplify  2x + 5 + 5 to 2x + 10

3x = 2x + 10

Subtract 2x from both sides

3x - 2x = 10

Simplify 3x - 2x to x.

x = 10

d) 3x-5 = 2x + 10

Add 5 to both sides

3x = 2x + 10 + 5

Simplify 2x + 10 + 5 to 2x + 15

3x = 2x + 15

Subtract 2x from both sides

3x - 2x = 15

Simplify 3x -2x to x.

x = 15

--------------------------------------------

Answer:

As you can see all c and d both have solutions, eliminating them as options. Option B has infinite solutions leaving Option A which has no solutions.

Therefore, <u><em>Option A</em></u> is the linear equation that has no solution.

3 0
2 years ago
Read 2 more answers
I need help on all 3
a_sh-v [17]

Answer:

i think answer for 3 is,

3x+1=100

3x=99

x=33°

6y-16+5y-2=180

11y-18=180

11y=198

y=18°

8 0
3 years ago
What are the two solutions of 2x2 = –x2 – 5x – 1?
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

quadratic formula

x = -(-5)+

3 0
3 years ago
Mrs. McAlister wrote the equation 10 t minus 4 t + 3 t = 8 on the board and asked students to write an equivalent equation. The
tia_tia [17]
10t - 4t + 3t = 8
13t - 4t = 8 (will do addition first)
9t = 8
So, Tanisha’s equation will be equivalent
As Tanisha’s equation is :
9t = 8
4 0
3 years ago
In the circle above, LM = 2 and KL = 6.
9966 [12]

Answer:

C. 4

Step-by-step explanation:

We can use power of a point to solve this problem. From this, we can set up the equation:

MN^2 = LM x MK

MK would be the sum of LM and KL because of segment addition postulate. Therefore, we can say MK = 2 + 6 = 8

Now, we can substitute the values we have in the equation above:

MN^2 = 2 x 8

MN^2 = 16

MN = 4

4 0
3 years ago
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