Answer:
Step-by-step explanation:
Given
Required
Possible values of k
The general quadratic equation is:
Subtract and
Factorize:
Rewrite as:
Compare the above equation to:
For the equation to have two distinct solution, the following must be true:
So, we have:
Expand
Rewrite as:
Expand
Factorize
Factor out k + 6
Split:
or 
So:
or k 
To make the above inequality true, we set:
or 
So, the set of values of k is:
To find the answer to this problem, you can use the unit circle to see that pi over 6 radians is equal to 30°
Another way is to use the equation: degrees = radians • (180 over pi)
In this example, plugging in the radians portion of the equation gives us: degrees = (pi over 6) • (180 over pi), which will become degrees = (180pi over 6pi)
Simplify and pi cancels out to give us degrees = 30
Answer: 30°
The sum of probability for an event happening and not happening must be equal to 1 because there is a 100% chance that one or the other will occur.
So the probability on not drawing a quarter:
P(!Q)=1-4/5
P(!Q)=5/5-4/5
P(!Q)=1/5
As a percentage:
p/100=1/5
p=100/5
p=20%
Answer:
your answer should be 3 1/4
Step-by-step explanation:
162/60 = 2.7 heartbeats per second
