Answer: x = 6
1. Subtract “2x” on both sides. This simplifies the equation to x+5=11
2. Subtract “5” on both sides. This simplifies to x=6, which is your answer.
Answer:
the remaining mass of unobtanium -41 after a 5 seconds, 10 seconds, 15 seconds and 20 seconds is 24 gr, 12 gr , 5.33 gr and 3 gr respectively
Step-by-step explanation:
the equation that governs the remaining mass m of unobtanium -41 after a time t is
m=m₀*2^(-t/T) , where t is in seconds ,m₀ represents initial mass and T=half-life
Therefore
a) for t=5 s
m=48 gr*2^(-t/5 s) = 48 gr*2^(-5 s/5 s) = 48 gr/2 = 24 gr
b) for t=10 s
m=48 gr*2^(-t/5 s) = 48 gr*2^(-10 s/5 s) = 48 gr/4 = 12 gr
b) for t=15 s
m=48 gr*2^(-t/5 s) = 48 gr*2^(-15 s/5 s) = 48 gr/9 = 5.33 gr
b) for t=20 s
m=48 gr*2^(-t/5 s) = 48 gr*2^(-20 s/5 s) = 48 gr/16 = 3 gr
thus the remaining mass of unobtanium -41 after a 5 seconds, 10 seconds, 15 seconds and 20 seconds is 24 gr, 12 gr , 5.33 gr and 3 gr respectively
<span>240,000 barrels contain a total of:
240,000 barrels * 42 gal per barrel = 240,000*42 gal = 10,080,000 gal of petroleum.
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now we need to convert gallons to Liters. For this we use the conversion:
</span>1 US liquid gallon = 3.78541 Litre,
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thus 10,080,000 gal are 10,080,000*3.78541 Litre = 38,156,932.8 Litre
Answer: 38,156,932.8 Litre
Answer:
y = 52
x = 30
Step-by-step explanation:
Hi!
Y is a vertical angle. See <DOB? That's it's vertical pair. So, y = 2x - 8 [vertical angles are congruent].
Now, to find y, we need x. We can find x by using the fact that AB is a straight line. The angles on a straight line add up to 90.
Given the fact that <AOB is 90 degrees, <EOB also has to be 90 degrees.
So, EOB = 90 degrees. Remember that an angle is equal to the sum of the measures of the angles that it is made of.
EOB is therefore equal to <EOD + <DOB.
90 = <EOD + DOB
90 = (x +8) + (2x-8)
90 = 3x
x = 30
Check:
38 + 52 = 90.
So, x = 30
Now, we go back to find y.
y = 2x-8
y = 52
Answer:
Ok
Step-by-step explanation:
I’ll help u
