Answer:
At the same rate 18 carburetors out of 1,050 could be expected to be detective.
Step-by-step explanation:
The number of carburetors tested = 175
Defective pieces out o f 175 = 3
So, ratio of defected to tested = 3 : 175
Now, the number of carburetors tested in second batch = 1,050
Here, let the defective pieces = m
So, by the Ratio of Proportion,
or, 
⇒ m = 18
Hence, at the same rate 18 carburetors out of 1,050 could be expected to be detective.
Answer:
(foh)(6) = -29
Step-by-step explanation:
(f o h)(6) is f(h(x)) when x = 6.
We have that:
f(x) = 4x - 1
h(x) = -x-1
f(h(x)) = 4(-x-1) - 1 = -4x - 4 - 1 = -4x - 5
(foh)(6) = -4(6) - 5 = -29
(foh)(6) = -29
Answer:
True. The absolute value produces a positive value, but then when you negate that value, it would always be negative. What's important is we're not taking the negative of the number being absolute valued itself, but rather we're taking a negative of the result.
Step-by-step explanation:
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
Wouldn't all the angles equal 180? We've been trying to learn these but I think so. Subtract both numbers by 180 and it should be the answer. Sorry if it's wrong but I'm not sure. I kinda hope this helps you any
