Answer – 30
Solving for 11 + 5 + 3 x 2 + 8 x 1
Using the Order of Operations – BODMAS
Multiplication is prioritized above addition
Therefore, 11 + 5 + 3 x 2 + 8 x 1
= 11 + 5 + (3 x 2) + (8 x 1)
= 11 + 5 + 6 + 8
= 30
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Answer:
$80.64
Step-by-step explanation:
Time = 4
Rate = 3
Principal Amount = 672
Using the Simple Interest formula:
SI =
where
P -> Principal Amount,
R -> Rate, and
T -> Time
Substituting the given values into the formula:
SI =

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The solution to the given differential equation is yp=−14xcos(2x)
The characteristic equation for this differential equation is:
P(s)=s2+4
The roots of the characteristic equation are:
s=±2i
Therefore, the homogeneous solution is:
yh=c1sin(2x)+c2cos(2x)
Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:
yp=Axsin(2x)+Bxcos(2x)
If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:
A=0
B=−14
Therefore,
yp=−14xcos(2x)
For more information about differential equation, visit
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Answer:
d=45h
Step-by-step explanation:
If we look at the chart, it shows that 1 hour is equal to 45 miles. Then, 2 hours is equal to 90 miles and so on. This means that for every hour the distance is 45 miles. Therefore, the distance=45 miles times the number of hours. This is equivalent to d=45h The number 45 is equal to the number of miles and the "h" is equal to the amount of hours. I hope I didnt confuse you in the process of writing this and have a good day!