To find out time interval δt we need to substract initial time from the final time. In this question first number in the coordinates representes time:
δt=50 - 0
δt= 50s
TIme interval is 50s.
Some fractions are 6/8, 9/12 and 12/16
All you have to do is multiply a number by the numerator and denominator
Let's solve the inequality. Subtract 5 from both sides. The result will be
<span>x ≥ 5. This states, "x is equal to or greater than 5."
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Plot 5 on the number line, using a dark solid dot. Then draw an arrow from that point to the right.
Find the smallest number that is divisible by 2, 3, 4, 5, 6 and add 1.
We need the least common multiple of 2, 3, 4, 5, 6.
2 = 2
3 = 3
4 = 2^2
5 = 5
6 = 2 * 3
LCM = product of common and not common prime factors with larger exponent.
LCM = 2^2 * 3 * 5 = 4 * 3 * 5 = 60
To always have a remainder of 1, you need of add 1 to 60.
The number is 61.
Check:
61/2 = 30 remainder 1
61/3 = 20 remainder 1
61/4 = 15 remainder 1
61/5 = 12 remainder 1
61/6 = 10 remainder 1
Answer:
E = 64.05
NG = 52.29
O = 35.15
Step-by-step explanation:
With the statement we can create a system of 3X3 equations that would be as follows:
E = electricity
NG = natural gas
O = oil
0.35 * E + 0.15 * NG + 0.25 * O = 25
0.35 * E + 0.15 * NG + 0.2 * O = 15
0.1 * E + 0.1 * NG + 0.1 * O = 20
If we pass this system equations to matrix and subtract it from the identity matrix we would have the following:
0.65 * E - 0.15 * NG - 0.25 * O = 25
-0.35 * E + 0.85 * NG - 0.2 * O = 15
-0.1 * E - 0.1 * NG + 0.9 * O = 20
Solving this system of equations around here can be very long and impractical, therefore, I attach a photo of the process:
And the answer is:
E = 64.05
NG = 52.29
O = 35.15