Answer:
Yes, it is.
Step-by-step explanation:
Answer:
Time,t that it will elapse before the concerntration of the dye in the tank reaches1% of its original value is 460.52 seconds
Step-by-step explanation:
Let Q(t) = amount of dye for all time,t.
Let Q'= rate in - rate out.
But Q/200 = concerntration of dye
Therefore rate out= Q/200 ×2.
Q'/Q = - 1/100
Dividing by Q gives
Ln/Q/ + c = -1/100t + c1
Integrating both sides with respect to t
Ln/Q/ = -1/100t + c2.
c1 and c1 are just another constants
Q= c3e^-t/100
Exponentiating both sides will cause the absolute values to get absorbed into the constants giving rise to a new constant c3
200= c3-0/100
c3= 200
2= 200e^-t/100
Ln1/100= - t/100
Ln0.01 = - t/ 100
Cross multiply
t= Ln0.01 × 100
t = 4.6052 ×100
t = 460.52seconds
Angle 1 and 2 are supplementary angles, meaning they must add up to 180°. You can tell this because they share a side and together, their other side forms a straight line (and straight lines are 180<span>°).
Knowing this, you can make an equation to solve for x:
Angle 1 + Angle 2 = 180</span><span>°
</span>10x + 4 + 5x – 4 = 180°
15x = 180°
x = 12°
Knowing x = 12°, you can plug the value of x into the equation for angle 2 to find its measurement:
<span>Angle 2 = 5x – 4
</span>Angle 2 = 5(12°) - 4
Angle 2 = 56°
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Answer: A) 56°
Answer:
D
Step-by-step explanation:
3,11,23, and 31 can only be divided by 1 without becoming a decimal.
