Solution:
As always, try to find a way of looking at the problem that makes the solution simple. In this problem, regardless of the current state of the puzzle, a move consists of combining two clusters into a single cluster. Therefore every move reduces the number of clusters by 1. Since we begin with 2000 clusters (the single pieces) and end with 1 cluster, we need
\[2000-1=\boxed{1999}\]
moves to complete the puzzle.
Answer:
To find the quotient of 8÷1/3 we should multiply 8 by three.
Step-by-step explanation:
Dividing the fractions, we find that the quotient of
.
9 * 8 * 10 * 2981
72 * 10 * 2981
720 * 2981
2, 146, 320
Hope this helps!
Answer:
A
Step-by-step explanation:
The function h(t) = -16t² + 72t will equal zero when the ball hits the ground:
-16t² + 72t = 0. Solving for the time, t, we factor -16t² + 72t : 16t (-t + 4.5) = 0.
This results in t = 0 and t = 4.5 sec. The ball hits the ground after 4.5 sec.
Problem 12.
Starting with A:(-5,3): Reflecting A over the y-axis results in B: (5,3). Translating B 3 units to the right results in C: (8,3). Finally, translating C down by 4 units results in D: (8,-1) (answer).