Use the stem and leaf plot shown to answer the following question.
1 answer:
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Answer:
The general solution of the equation is y = + 5
Step-by-step explanation:
Since the differential equation is given as y'(t) = 3y -5
The differential equation is re-written as
dy/dt = 3y - 5
separating the variables, we have
dy/(3y - 5) = dt
dy/(3y - 5) = dt
integrating both sides, we have
∫dy/(3y - 5) = ∫dt
∫3dy/[3(3y - 5)] = ∫dt
(1/3)∫3dy/(3y - 5) = ∫dt
(1/3)㏑(3y - 5) = t + C
㏑(3y - 5) = 3t + 3C
taking exponents of both sides, we have
exp[㏑(3y - 5)] = exp(3t + 3C)
3y - 5 =
3y - 5 =
3y = + 5
dividing through by 3, we have
y = + 5
So, the general solution of the equation is y = + 5
Answer:
x = 70°
Step-by-step explanation:
<em><u>I will assume solving the problem where 2 parallel lines are cut by a transversal that has an angle 110 and another angle x. Lets solve for x.</u></em>
When 2 parallel lines are cut by transversals, we have 4 pair of equal angles.
Now, looking at the figure,
The angle beside (adjacent) to the angle 110 is same as the angle x degrees.
These are corresponding angles, which are equal.
So, we have 110 degree angle and x degree angle adjacent to each other in a straight line. This is a straight angle.
A straight line (or, straight angle) creates 180 degrees. Thus, we can write:
110 + x = 180
Now, we solve for x:
So,
x = 70°