Answer:
654000 Rupees
Step-by-step explanation:
If we assume that the opera house was full every day then it would be 872 x 50 for the price of 1 day
872 x 50 = 43600
We multiple that number by the amount of days open so is would be 43600 x 15
43600 x 15 = 654000
Therefore it will make 654000 Rupees
Answer:
Step-by-step explanation:
First, we can transform y = cos(x) to y = 3*cos(x) by stretching the graph vertically by a factor of 3. At x = 0, the y value would now be 3 * 1 = 3 instead of 1 (the stretching would cause all new y-values to be 3 times their original values for any given x).
Now transforming y = 3*cos(x) to y = 3*cos(10*x) will stretch the graph horizontally by a factor of 10 (for any given y value, the new x value corresponding to it is 10 times the original x value).
Finally, to transform y = 3*cos(10*x) to y = 3*cos(10(x-pi)), shift the graph to the right by pi.
Answer:
Step-by-step explanation:
The <em>Richter scale</em>, the standard measure of earthquake intensity, is a <em>logarithmic scale</em>, specifically logarithmic <em>base 10</em>. This means that every time you go up 1 on the Richter scale, you get an earthquake that's 10 times as powerful (a 2.0 is 10x stronger than a 1.0, a 3.0 is 10x stronger than a 2.0, etc.).
How do we compare two earthquake's intensities then? As a measure of raw intensity, let's call a "standard earthquake" S. What's the magnitude of this earthquake? The magnitude is whatever <em>power of 10</em> S corresponds to; to write this relationship as an equation, we can say 
, which we can rewrite in logarithmic form as 
.
We're looking for the magnitude M of an earthquake 100 times larger than S, so reflect this, we can simply replace S with 100S, giving us the equation
.
To check to see if this equation is right, let's say we have an earthquake measuring a 3.0 on the Richter scale, so 
. Since taking 100 times some intensity is the same as taking 10 times that intensity twice, we'd expect that more intense earthquake to be a 5.0. We can expand the equation using the product rule for logarithms to get the equation
And using the fact that 
and our assumption that 
, we see that 
as we wanted.
Please check, i'm not entirely sure but i'm decent enough.
1 is A 2 is D3 is B
Good luck.
Answer:
About 706.5 ft.
Step-by-step explanation: The formula for area of a circle is the radius squared (multiplied by itself) times 3.14. So 15 times 15= 225, times 3.14=706.5
