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labwork [276]
2 years ago
10

Julia is casting a play with 4 main roles. Six students

Mathematics
1 answer:
aev [14]2 years ago
7 0

Using the combination formula, it is found that Julia can take 15 combinations.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

For this problem, 4 students are taken from a set of 6, hence the number of combinations is given as follows:

C_{6,4} = \frac{6!}{4!2!} = 15

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

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In a parallel circuit, ET = 120 V, R = 30 Ω, and XL = 40 Ω. What is IR?
soldi70 [24.7K]

Answer:


Step-by-step explanation:

Given

ET = 120 V

, R = 30 Ω,

XL = 40 Ω.

To find = IR=?

as in circuit inductor and resistor are parallel so ET =EL = ER = 120V

IR = current through resistor = IR = ER/ R

                                                      = 120V /30Ω.

                                                       = 4 ampere.



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Step-by-step explanation:

The intermediate value theorem requires for the function for which the intermediate value is calculated, to be continuous in a closed interval [a,b]. Therefore, for the graph of the function shown in your problem, the intermediate value theorem will apply as long as the interval [a,b] does NOT contain "3", which is the x-value where the function shows a discontinuity.

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