The fraction was greater than 1/2.
When you divide by a fraction, it is equal to multiplying by its reciprocal. The reciprocal of 1/2 is 2/1, or just 2. Therefore, dividing by 1/2 equals the same thing as when you multiply by 2.
A mixed number has a whole number and a fraction added together. So, the mixed number must be greater than 1.
1/2 is equal to 0.5, and 0.5 multiplied by 2 equals 1. A fraction less than 1/2 multiplied by 2 would equal a number less than 1, while a fraction greater than 1/2 would equal a number greater than 1.
Because a mixed number must be greater than 1, and a fraction greater than 1/2 multiplied by 2 would be greater than 1, the fraction that resulted in a mixed number after being multiplied by 2 must have been greater than 1/2.
Step-by-step explanation:
The domain of A(r) is The expression for A(r) is
Let's write A(r) as simply A and divide the equation by to get
We can complete the square on the left hand side by adding 16 to both sides:
Taking the square root of the equation above and then solving for r, we get
Answer:
Step-by-step explanation:
Given
Required
Evaluate
Let:
Add both equations
Subtract both equations
So:
R is defined by the following boundaries:
,
So, we can not set up Jacobian
This gives:
Calculate the determinant
Now the integral can be evaluated:
becomes:
So:
Remove constants
Integrate v
Integrate u
Expand
Open bracket
Expand
Answer:
1. B
A. Not true because the peak of the data is 2
B. True because 0-2 contains the most dots on the graph and they're bunched together
C. Not true because from 2-5 there is a big gap
D. Not true because there is an outlier
Thus, B. is the answer
2. F.
1 yard = 3 feet
So, divide 6,615 by 3 to get 2,205
I hope this helps! :)