Answer:
A) 20 degrees
Step-by-step explanation:
The sine of an angle is equal to the cosine of the angles complimentary angle.
Answer:
3x-x+2=4
Step-by-step explanation:
The domain of f(x)=2^x would be the x values. This would include all values that you can input as x in order to make this problem work. The domain of a function is usually all real numbers. The range of f(x)=2^x would be the y values. This would include all values that would be the output for the y value. An example of this would be if you used 2 as x then the function would read f(x)=2^2. The y would equal 4 which would be included in the range of this function. To find the domain and range of the inverse you would follow the proper steps to get the inverse of the function which would be x=2^y. The domain would be the x values and the range would be the y values. If you put 4 as x which would be your input for the domain you would get 2^4 = 16 for the y which would be the range.
Answer:
The solution of the differential equation is .
Step-by-step explanation:
The first step is to take Laplace transform in both sides of the differential equation. As usual, we denote the Laplace transform of as . Then,
In the last step we use that and .
Notice that our differential equations becomes an algebraic equation for , which is more simple to solve.
In the expression we have obtained, we can write in terms of :
which is equivalent to
.
Now, we make a partial fraction decomposition for the term . Thus,
.
Substituting the above value into the expression for we get
) in both hands of the above expression. Recall that . So,
.
To obtain this we have used the following identities that can be found in any table of Laplace transforms
Answer:
can you tell us how many board games jacob has?
Step-by-step explanation:
Answer:
a) microwave ovens
Step-by-step explanation:
Since we don't know what the dataset is, we cannot say with certainty what its elements are. The first sentence talks about microwave ovens, so it may be reasonable to assume that will be the members of the data set.
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<em>Additional comments</em>
In computer programming terms (as for a shopping web site, for example), the data set would consist of tuples of ...
(brand, price, number of power settings, color)
and perhaps other attributes, such as dimensions, home/commercial, length of warranty, and more. That is, the appropriate answer would be "all of the above."
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We recommend you discuss this with your teacher and try get a clear statement of the rule that can be applied to questions like this. There are many "this situation" questions that are popular now, in which "this situation" could be any of numerous features of the scenario described. Defining the question properly is the first step to solving it.