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snow_lady [41]
3 years ago
12

Select the correct answer from each drop-down menu

Mathematics
1 answer:
emmainna [20.7K]3 years ago
4 0

Answer:

Step-by-step explanation:

There are 6 digits given: 1,2,3,5,8 and 9

But we are only taking three at a time.

= 6!/3!

= 6*5*4*3*2/3*2

= 6*5*4

= 120

The first and last digits can only be even if the number takes the one of the forms "2 _ 8" or "8 _ 2". The middle number can be any of the remaining four.

This means the probability of getting a number beginning and ending with an even digits is:

= 8/120

= 1/15 ....

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finding the distance from (–6, 2) to the origin. Use (0, 0) as (x1, y1). d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1)
Naddik [55]

Answer:

2√10

Step-by-step explanation:

Given the coordinates (-6, 2) and (0,0)

We are to find the distance between the coordinates. Using the distance formula;

d = √(x2-x1)²+(y2-y1)²

d = √(0-2)²+(0+6)²

d = √(-2)²+(6)²

d = √4+36

d = √40

d = √4*10

d = 2√10

Hence the required distance is 2√10

4 0
3 years ago
Henry has a reading list of 10 books that he can choose from to read this week. Identify the constraint for the number of books
lyudmila [28]

Answer:

  • b ≤ 10, which means <em>number of books less than or equal to 10.</em>

Explanation:

In mathematical language a<em> constraint</em> is a limitation on the values that a variable can take.

In this case, the constraint is given by the fact that there are 10 books in the reading list from which Henry can choose to read this week.

So, the number of books that he can read is 1, 2, 3, ..., 10 (at most). This is, 10 books is an upper bound.

To represent an upper bound, you use the inequality symbol ≤, which means less than or equal to.

Henry can read as many as 10 books, so that is less than or equal to 10.

If you call b the number of books, the constrain may be written as:

  • b ≤ 10.

constraint is a condition of an optimization problem that the solution must satisfy. There are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. The set of candidate solutions that satisfy all constraints is called the feasible set.[1

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4 years ago
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Answer:

Option A, As x increases, the rate of change exceeds the rate of f

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