Answer: x/y^3
Step-by-step explanation:
So you divide 27/9 which is 3. Then it ix x^7-x^6=x. And then it is y^2-y^5=y3
27*x*x*x*x*x*x*x*y*y/9*x*x*x*x*x*x*y*y*y*y*y
Doing this makes it easier so you cross each variable out for each one in both sides. 3x/y^3 would be your answer.
This is a system where (f-g)(x) is wanted.
(16x-30)-(14x-6) .... 2x-24 *be careful with signs and parenthesis placement.
Now set 2x-24 = 0 and so x = 12
Answer:
See explanation
Step-by-step explanation:
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
Answer:
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- <u><em>Event A: 1/35</em></u>
- <u><em>Event B: 1/840</em></u>
<u><em></em></u>
Explanation:
<u>Event A</u>
For the event A, the order of the first 4 acts does not matter.
The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.
Thus, the number of ways that the first <em>four acts</em> can be scheduled is:


And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).
Therefore the<em> probability of Event A</em> is:

Event B
Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.
The number of ways in which <em>four acts </em>can be scheculed when the order matters is:


The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)
Therefore, <em>the probability of Event B</em> is:
