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.
<h2>
Answer</h2>
The equation is y = 2x - 12
<h2>
Explanation</h2>
Equation in slope intercept form is
Where,
m = slope
b = y-intercept
Putting the value of slope in this equation:
From this we can solve the equation for b
Now, the equation of y-intercept becomes
In the absence of ATC restriction on climb or descent, and aircraft are within 1,000 feet of assigned altitude. pilots should attempt to both climb and descend at a rate of between 500 fpm and 15000 fpm. (Option A)
An Air Traffic Controller (ATC) clearance refers to an authorization by ATC for the purpose of preventing known aircraft collision. The rate of climb or descend expected by ATV is when an aircraft is within 1000 feet of assigned altitude, descend, or climb at an optimum rate consistent with the operating characteristics of the aircraft to 1,000 feet above or below the assigned altitude, and then attempt to descend or climb at a rate of between 500 and 1,500 fpm until the assigned altitude is reached.
Learn more about Air Traffic Controller (ATC):
brainly.com/question/5018782
#SPJ4
Answer:
the worth of the house today is $392,000
Step-by-step explanation:
in 1995 --------- $200,000
and its appreciates by 4% yearly
so by 2019 the house will be
firstly we subtract 2019 from 1995 to know how many years the house has appreciated for
2019 - 1995 = 24years
therefore to get the total % the house has appreciated for we multiply the year by 4%
24 * 4% = 96%
so to get the appreciated value we multiply 96% by the initial amount of the house
96% * $200,000 = $192,000
therefore the worth of the house at present will be the initial amount plus the appreciated value
$200,000 + $192,000 = $392,000
