Answer:
420 unique combinations.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
One object from each set:
2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:
2*5*6*7 = 10*42 = 420
420 unique combinations.
Answer:
10
Step-by-step explanation:
Answer:
Mass = 1.3 Kilograms.
Step-by-step explanation:
Given the following data;
Force = 55.1 N
Acceleration = 41.6 m/s²
To find the mass of the stone in kg;
Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.
Mathematically, it is given by the formula;
Force = mass * acceleration
Substituting into the formula, we have;
55.1 = mass * 41.6
Mass = 1.3 Kilograms
Answer:
Step-by-step explanation:
To find f(a), replace x with a: f(a)=6−1a+15a^2
To find f(a+h), replace x with (a+h): f(a+h) = 6 -(a + h) + 15(a+h)^2
To find f(a+h)−f(a), expand f(a+h) as given above, and then subtract f(a):
f(a+h)−f(a) = 6 -a - h + 15(a^2 + 2ah + h^2) - [6 - a + 15a^2]
6 - a - h + 15a^2 + 30ah + 15h^2 - [6 - a + 15a^2]
This simplifies to: f(a+h)−f(a) = - h + 30ah + 15h^2
The answer to ur question is 19a+b
