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uysha [10]
3 years ago
14

What is the solution to the equation below? log_6 4x^2 -log_6 x=2

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0

Answer:

This is x=9

Step-by-step explanation:

Here is for you!

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There are 50 runners in a race. How many ways can the runners finish first, second, and third?
Dmitrij [34]

Number of ways can the runners finish first, second, and third is 1,17,600 .

<u>Step-by-step explanation:</u>

Permutation is the act of arranging the members of a set into a sequence or order, or, if the set is already ordered, rearranging (reordering) its elements—a process called permuting. For example, written as tuples, there are six permutations of the set {1,2,3}, namely: (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). Formula of Permutation is : P(n,r) = \frac{n!}{(n-r)!} where n is the number of things to choose from,  and we choose r of them,  no repetitions,  order matters. Here , n = 50 , r= 3

⇒ P(n,r) = \frac{n!}{(n-r)!}

⇒ P(50,3) = \frac{50!}{(50-3)!} = \frac{50(49)(48)47!}{47!}

⇒ P(50,3) = 50(49)(48)

⇒ P(50,3) = 1,17,600

∴ Number of ways can the runners finish first, second, and third is 1,17,600 .

8 0
3 years ago
You graph a rectangle on a coordinate plane that has vertices (0,0), (3,0), (0,2), and (3,2). You then rotate that figure 360 de
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From the points given we know that the rectangle is 3 points wide and 2 points tall. If we rotate it 360^{\circ} around the x axis then we will receive the lying cyllinder which will be 3 points tall and 2 points wide (so its radius is 2/2 = 1 point). Now we can find the surface area of the cyllinder using appropriate formula:
A=2\pi r^2 + 2\pi rh=2\pi*1^2 + 2 \pi * 1 * 3=2\pi + 6\pi=8\pi\approx 25.13
3 0
3 years ago
X/100) + (Y/66) = (3X+5Y)/Z. What is Z?<br> a. 8<br> b. 176<br> c. 330<br> d. 3630<br> e. 7260
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Its obviously D 3630<span />
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