Answer:
B.
Step-by-step explanation:
The quickest way to do this is to use a graphing calc or an online graphing program and graph each problem. When you do so, you should get B. y=3(1/3)^x as your answer.
Answer:
Rock D.
Step-by-step explanation:
We can assume that the force that the catapult does is always the same.
So, here we need to remember Newton's second law:
F = m*a
force equals mass times acceleration.
Where acceleration is the rate of change of the velocity.
So, if we want the rock to hit closer to the catapult, the rock must be less accelerated than rock B.
So, we can rewrite:
a = F/m
So, as larger is the mass of the rock, smaller will be the acceleration of the rock after it leaves the catapult (because the mass is in the denominator). So if we want to have a smaller acceleration, we need to choose a rock with a larger mass than rock B.
Assuming that the mass depends on the size, the only one that has a mass larger than rock B is rock D.
So we can assume that rock D is the correct option.
Answer:
10%
Step-by-step explanation:
The multiples of 2 are 2,4,6,8,10, and so on
The multiples of 5 are 5, 10, 15, 20 , 25, and so on
It is evident that the only one that matches up between 1-10 is 10.
There are 10 options, and our chances are random. There is only 1 option for it to be a multiple of both 2 and 5. Therefore, the probability is 1/10, or 10%
Answer:
By:Parrain
Step-by-step explanation:
The probability that the selected tile will be green is 0.5.
The probability that a tile will be green can be calculated by the formula:
= Number of green tiles / Total number of tiles
Total number of tiles is:
= 3 + 6 + 3
= 12 tiles
Probability of picking green tile is therefore:
= 6 / 12
= 50%
= 0.50
The probability of picking a green tile is 0.50