What is the number of ways to arrange 6 objects from a set of 10 different objects? A. 520. B. 78,400. C. 210. D. 151,200

1 answer:

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The correct answer in this question is option D. There are 151,200 ways to arrange six objects from a set of ten different objects. To solve this, the permutation formula is used. This type of equation is utilized for ordered arrangements.

10!/(10-6)! = 3,628,800/24

= 151,200

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artcher [175]

1 + (-5/8) = 3/8

Explanation: If the coffee wasn’t drank it would’ve been at fraction 1 (or 100%)

Since he drank 5/8 of it. The coffee left is now 1-(5/8)

But since the question has asked to give the equation in addition format. Put a plus sign in between the two.

Therefore,
1 + (-5/8)

Solve it,
= 1-(5/8)
= (8-5)/8
= 3/8

Hence the equation is:

1 + (-5/8) = 3/8.

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2 years ago

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Write the standard equation of the circle with the given center and passes through the given point. Center (7,-2); Point= (1,-6)

vodomira [7]

Answer:

(x - 7)² + (y + 2)² = (2√13)²

Step-by-step explanation:

We already know that the center is at (7, -2), but must find the radius. The radius is the distance between the points (7, -2) and (1, -6):

r = √ [6² + 4²] ) = √(36 + 16) = √52 = √4√13 = 2√13.

Then the desired equation is (x - 7)² + (y + 2)² = (2√13)²

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