Answer: 24
Step-by-step explanation:
Given : A metallurgist wants to study four different fluxes, two different base metals, and three different amounts of energy input.
i.e. 4 different choices for fluxes.
2 different choices for base metals.
3 different choices for amounts of energy input.
If each run of the experiment involves a choice of one flux, one base metal, and one amount of energy input.
Then , the number of runs are possible :-
Hence, there are 24 different runs are possible .
Answer:
h = 5
Step-by-step explanation:
area = 1/2 base × hight
base = 3 +h
hight =9 + 6 = 15
60 = 1/2 × 15 × (3+h)
120/15 = 3 + h
8 = 3 + h
h = 5
Considering that 160,000 is the y-intercept of the function, it's significance is given by:
the initial population at the time of the estimation.
<h3>What is the y-intercept of a function f(x)?</h3>
The y-intercept is f(0), that is, the value of y when x = 0, which is interpreted as the initial value of the function.
Researching this problem on the internet, it is found that f(0) = 160,000, hence the significance of 160,000 in the function is given by:
the initial population at the time of the estimation.
More can be learned about the y-intercept of a function at brainly.com/question/27979095
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Step-by-step explanation:
We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)
Also we use identity
sin(2x) = 2 sin(x) cos(x)
4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer
We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
