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RSB [31]
2 years ago
11

Given a1 = 8 and r = 2, identify the 23rd term

Mathematics
1 answer:
babymother [125]2 years ago
4 0

Answer: 33554432

Step-by-step explanation:

8 x (2 ^ (23 - 1)) = 33554432

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Atmospheric pressure decreases by about 11.8% for every 1000 meters you climb. The pressure at sea level is 1013 millibars (a un
erica [24]
At sea level, the pressure is 1013, that's when the altitude is at 0, sea level, let's see

\bf \textit{Periodic Exponential Decay}\\\\
A=I(1 - r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &1013\\
I=\textit{initial amount}\\
r=rate\to 11.8\%\to \frac{11.8}{100}\to &0.118\\
t=\textit{meters climbed}\to &0\\
p=period\to &1000
\end{cases}
\\\\\\
1013=I(1-0.118)^{\frac{0}{1000}}\implies 1013=I\cdot 1\implies 1013=I

so, the inital amount is 1013, when t = 0,

\bf \textit{Periodic Exponential Decay}\\\\
A=I(1- r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &1013\\
r=rate\to 11.8\%\to \frac{11.8}{100}\to &0.118\\
t=\textit{meters climbed}\to &t\\
p=period\to &1000
\end{cases}
\\\\\\
A=1013(1-0.118)^{\frac{t}{1000}}\implies A=1013(0.882)^{\frac{t}{1000}}

now, to check the atmospheric pressure at 4000, simply set t = 4000, to get A.


7 0
3 years ago
If the point (3,3) lies on the graph of y=f(x), what point lies on y=f(x-2)?
My name is Ann [436]

Answer:

  A.  (5, 3)

Step-by-step explanation:

Making use of the hint:

  x -2 = 3

  x = 5 . . . . . . add 2

The point (x, 3) is on the graph for x=3.

The point (x-2, 3) is on the graph for x=5, so ...

  the graph of (x, f(x-2)) will include the point (5, 3).

3 0
3 years ago
Read 2 more answers
Find the distance between -6 and 8. What is an expression that represents the distance?
snow_lady [41]

The answer is -6+x=8. x is the unknown number. To find the distance, try to use a number line. And the answer to the expression is 14. To get from -6 to 0, you add 6. Then from 0 to 8, you add 8. 8+6=14

6 0
3 years ago
On the coordinate plan, what is the distance between the points (−1, −4) and (−1, −8)?
yaroslaw [1]

Answer:

4

Step-by-step explanation:

To find the distance between two points, we subtract the x - x coordinates and y - y coordinates.

-1 - (-1) = 0

-8 - (-4) = -4

There was only a change in the y coordinates, so we will only account for this.

The distance between the points is four units.

8 0
3 years ago
Solve the following quadratic equation for all values of x in simplest form. 2(x + 5)^2 – 3 = 1​
Fittoniya [83]

Answer:

x = -5 + \sqrt{2} or x = -5 - \sqrt{2}

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • 2(x+5)^2 - 3 = 1
  • 2x^2 + 20x + 47 = 1

Step 2: Subtract 1 from both sides.

  • 2x^2 + 20x + 47 - 1 = 1 - 1
  • 2x^2 +20x + 46 = 0

For this equation: a = 2, b = 20, c = 46

Step 3: Utilize quadratic formula with a = 2, b = 20, c = 46.

  • x = (-b ± √(b^2-4ac)/2a
  • x = (-20 ± √(20^2 - 4·2·46)/2(2)
  • x = (-20 ± √(32)/4
  • x = -5 + \sqrt{2} or x = -5 - \sqrt{2}

Therefore, the answer is x = -5 + \sqrt{2} or x = -5 - \sqrt{2}.

6 0
2 years ago
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