1) 1/6
2) 6/6
3) 4/6=2/3
4) 3/6=1/2
5) 2/6=1/3
6) 4/6=2/3
7) 2/6=1/3
8) 6/6
9) 5/6
10)4/6=2/3
11) 5/6
idk the answer to the challenge question tho bc I can't see it in that pic. hope the rest of the work helps u tho
M₁ = 5.97 * 10²⁴
m₂ = 7.35 * 10²²
r₁ = 0
r₂ = 3.84 * 10⁸
r = distance from earth center to center of mass
r*(m₁+m₂) = r₁m₁ + r₂m₂
r = (r₁m₁ + r₂m₂) / (m₁ + m₂) = (0 + 2.82 * 10³¹) / 6.0435 * 10²⁴ = 4,66 * 10⁶
We are given that:
x is the age, and
y is the heart rate
It is also given that
Now, we have been given that the person’s theoretical maximum heart rate (in heartbeats per minute) is where x is the person’s age in years.
Therefore, 50% of is
Likewise, 75% of is
Which is the same as The system of linear inequalities that describes the given information is y>120-1/2x (for 50% max heart rate) and y<165-3/4x (for 75%).
Thus, y will lie between these two extremes as:
The graph of the same is attached.
To determine the greatest common divisor between two numbers we must know the divisors of these two numbers
In this case, 13 and 44
The divisors of 13 are 1 and 13
The divisors of 44 are 1, 2, 4, 11, 22 and 44
We already know the divisors of each number
Since 13 is a prime number, it can only be divided by 1, and the same number
The number 44 does not have 13 as divisor but it does have 1 as the divisor
In conclusion, the greatest common factor between 13 and 44 is the 1 number
The answer is 1 number