Answer:
6
Step-by-step explanation:
The maximum value of the sin function is at 
, when sin is equal to 1. Since you need to multiply pi/12 by 6 to get to pi/2, the maximum amount of people will be at the square after 6 hours. Hope this helps!
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
Answer:
C
Step-by-step explanation:
Use πr²
Let the number of cards in each group be 2x and 3x.
So,
2x + 3x = 120
5x = 120
x = 120 / 5
x = 24
Number of cards in each group is
2x = 2 × 24 = 48
3x = 3 × 24 = 72
With an equation you must isolate x or whatever the variable is. Operations are the things used to make the difference like +,-,x,/.
A great example of this is the following
4x-12=0
First add 12 to both sides making the equation go to
4x=12
now divide 4 from both sides making
x=3
