Answer:
Tell me if i am wrong. :)
Step-by-step explanation:
To solve for y:
Q.1 2x + y = -1
y = -1 - 2x
Q. 2. 4x - 5y = 7
y = 7 - 4x over -5
by the double angle identity for sine. Move everything to one side and factor out the cosine term.
Now the zero product property tells us that there are two cases where this is true,
In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of
, so
where
![n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}](https://tex.z-dn.net/?f=n%5B%2Ftex%20%5Dis%20any%20integer.%5C%5CMeanwhile%2C%5C%5C%5Btex%5D10%5Csin%20x-3%3D0%5Cimplies%5Csin%20x%3D%5Cdfrac3%7B10%7D)
which occurs twice in the interval
for
and
. More generally, if you think of
as a point on the unit circle, this occurs whenever
also completes a full revolution about the origin. This means for any integer
, the general solution in this case would be
and
.
Answer:
7a+b-9c+17d
Step-by-step explanation:
-5 ( a-2b+3c -4d) - (-3) (4a -3b+2c-d)
Distribute
-5a+10b-15c+20d+12a-9b+6c-3d
Combine like terms
7a+b-9c+17d
Answer:
22.5 lbs
Step-by-step explanation:
First you find the cubic feet. That is the volume of the object which is length*width*height.
In your example, they are using inches. So you have to convert all units to feet. That would be 0.5 inches, 0.5 inches, and 5/3 inches. The volume would be 0.5*0.5*5/3 which is about 5/12 cubic feet
You then take that 5/12 cubic feet and multiply it by the 54 lbs/cubic foot. The answer would be 22.5 lbs
Answer:
The maximum revenue is 16000 dollars (at p = 40)
Step-by-step explanation:
One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.
Given function is:
Taking derivative wrt p
Now putting R'(p) = 0
As p is is positive and the second derivative is -20, the function will have maximum value at p = 40
Putting p=40 in function
The maximum revenue is 16000 dollars (at p = 40)
