Answer:
<em>It will occur zero times between midnight and one o'clock.</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.
All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.
List the prime factors of each number:
20: 2,2,5
15: 3,5
27: 3,3,3
Now multiply all the factors the maximum number of times they appear:
LCM=2*2*3*3*3*5=540
(a) All the events will happen together again after 540 minutes.
(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.
Answer:
The solution for the given polynomial
is 
Step-by-step explanation:
Here, the given quadratic equation is : 
Now, here solving the given equation by SPLITTING THE MIDDLE TERM:

⇒ either (2x+1) = 0, or ( 2x + 1) = 0
⇒ x = -1/2 or x = -1/2
Here, in both the cases, the value of x is equal i.e x = -1/2
So, the given function has TWO IDENTICAL ROOTS.
Hence the solution for the given polynomial
is 
Answer:
pretty sure its 75 degrees
Step-by-step explanation:
subtract 105 and 30 degrees and if you had to find the one on the top it would be the same process
Correct option is
Correct option isC
Correct option isC3(2x+1)
Correct option isC3(2x+1)(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)
1.) 40, 2.) 8, 3.) 18, 4.) 15, 8.) 12, 9.) 30, 10.) 72, 11.) 36