Answer:
144
Step-by-step explanation:
f(4)=3*4^2
f(4)=12^2
12*12=144
Every x value should have only one value of y.
So the answer is the last choice.
Answer:
36
Step-by-step explanation:
"Two more" = + 2
"quotient of a number and 6" = n/6
"equal to 8" = = 8
Set the equation:
n/6 + 2 = 8
Isolate the variable n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 2 from both sides.
n/6 + 2 (-2) = 8 (-2)
n/6 = 8 - 2
n/6 = 6
Isolate the variable n. Multiply 6 to both sides.
(n/6)(6) = (6)(6)
n = 6 * 6
n = 36
36 is your answer.
~
Answer:
56.39 nm
Step-by-step explanation:
In order to have constructive interference total optical path difference should be an integral number of wavelengths (crest and crest should be interfered). Therefore the constructive interference condition for soap film can be written as,

where λ is the wavelength of light and n is the refractive index of soap film, t is the thickness of the film, and m=0,1,2 ...
Please note that here we include an additional 1/2λ phase shift due to reflection from air-soap interface, because refractive index of latter is higher.
In order to have its longest constructive reflection at the red end (700 nm)

Here we take m=0.
Similarly for the constructive reflection at the blue end (400 nm)

Hence the thickness difference should be

I’m tryna look for that too