There is a 1/2 chance that he will get at least one of the two features.
There are 3 x 4 = 12 possibilities. There are all 4 colors of each 3 sizes.
All 4 of the medium trucks have one of the features.
For the other 2 sizes, only the red truck will have one of the features.
There are 4 + 2 = 6 possibilities out of 12 for a chance of 6/12 or 1/2.
Answer:
x=-5 or -5
Step-by-step explanation:
x - 4 = 2x + 1
Subtract x from both sides canceling out the x on the left, getting...
-4 = x + 1
Then subtract the 1 from both sides canceling out the 1 on the right, getting...
-5 = x
Subtracting x from 2x gets you 1x which you just write as x because there is only one x. Doing the equation from the other side will still get you the same answer and I will show you.
x - 4 = 2x + 1
-x - 4 = 1
-x = 5
x = -5
Hope this helps!
98 divided by 2 equals 49
55 divided by 5 equals 11
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
brainly.com/question/18760518
