Answer:
1 m/s2
Step-by-step explanation:
Olive Oyl's weight = 10 × 9.81 = 98.1 N
This weight is a force acting downward because it is due to gravity.
Popeye pulls Olive Oyl up with a force of 108.1 N. Both forces act vertically but in opposite directions. Hence their resultant, R, is their difference and is in the direction of the larger force.
R = 108.1 N - 98.1 N = 10 N
This force causes an acceleration, a, on the mass, m, of Popeye.
R = ma
a = R/m = 10 N/10 kg = 1 m/s2
Answer:
36, 44, 52
Step-by-step explanation:
Just add 8 to 28 = 36
Add 8 to 36 = 44
Add 8 to 44 = 52
Answer:
13.5 = 9.5 + x
x=4
Step-by-step explanation:
In this problem, the price of the baseball cap, which is $9.50, and a baseball, whose price is unknown (and therefore must be the variable), total $13.50. So, to set up the equation add the two prices and set them equal to the total, 9.5+x=13.5.
Then, using the subtraction property of equality subtract 9.5 from both sides. This means x=4, so the baseball cost 4 dollars.
The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial
a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.
b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.
