Answer:
B, C, E
Step-by-step explanation:
the dependent variable <em>depends </em>on the independent variable
thus, p is dependent on t, p is the dependent variable, and t is the independent variable (B)
every month, Gloria paints 2 pieces
each month, t is increased by 1, and p is increased by 2 (C)
every month, Gloria paints 2 pieces
2 pieces every month = (2*t) pieces = total pieces = p (E)
Answer:
4t + 29
Step-by-step explanation:
7(5 + t) - 3(t + 2)
35 + 7t - 3t - 6
4t + 35 - 6
4t + 29
When you first pick a ticket, there are 2 winning tickets and 40 total tickets. This means that there is a 2/40 chance of your ticket being a winning one. This fraction can be reduced to 1/20.
After this, there will be 1 winning ticket left and 39 total tickets. There is a 1/39 chance of the next ticket being a winning one. We multiply these two fractions together to get our answer. 1/20 * 1/39 = 1/780, so there is a 1/780 chance of having 2 winning tickets.
Answer:
hence cos ( 2 A ) = cos 2 A − ( 1 − cos 2 A ) = 2 cos 2 A − 1
Step-by-step explanation:Well we know that for two angles A , B
it holds that cos ( A + B ) = cos A cos B − sin A ⋅ sin B hence for A = B you get cos ( 2 A ) = cos 2 A − sin 2 A But sin 2 A = 1 − cos 2 A