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Math and Arithmetic

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Albert Roberts

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Term1/21
Average number of player per team
Definition1/21

The average number of players per team depends on the team that is being studied. Arts teams generally have more than math teams.

Term1/21
What are the 4 digit combinations of the numbers 0 through 9
Definition1/21

There are 10!/(4!(10-4)!) = 210 such combinations assuming no repeats are allowed:

{0, 1, 2, 3}, {0, 1, 2, 4}, {0, 1, 2, 5}, {0, 1, 2, 6}, {0, 1, 2, 7}, {0, 1, 2, 8}, {0, 1, 2, 9}, {0, 1, 3, 4}, {0, 1, 3, 5},

{0, 1, 3, 6}, {0, 1, 3, 7}, {0, 1, 3, 8}, {0, 1, 3, 9}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 1, 4, 7}, {0, 1, 4, 8}, {0, 1, 4, 9},

{0, 1, 5, 6}, {0, 1, 5, 7}, {0, 1, 5, 8}, {0, 1, 5, 9}, {0, 1, 6, 7}, {0, 1, 6, 8}, {0, 1, 6, 9}, {0, 1, 7, 8}, {0, 1, 7, 9},

{0, 1, 8, 9}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 3, 7}, {0, 2, 3, 8}, {0, 2, 3, 9}, {0, 2, 4, 5}, {0, 2, 4, 6},

{0, 2, 4, 7}, {0, 2, 4, 8}, {0, 2, 4, 9}, {0, 2, 5, 6}, {0, 2, 5, 7}, {0, 2, 5, 8}, {0, 2, 5, 9}, {0, 2, 6, 7}, {0, 2, 6, 8},

{0, 2, 6, 9}, {0, 2, 7, 8}, {0, 2, 7, 9}, {0, 2, 8, 9}, {0, 3, 4, 5}, {0, 3, 4, 6}, {0, 3, 4, 7}, {0, 3, 4, 8}, {0, 3, 4, 9},

{0, 3, 5, 6}, {0, 3, 5, 7}, {0, 3, 5, 8}, {0, 3, 5, 9}, {0, 3, 6, 7}, {0, 3, 6, 8}, {0, 3, 6, 9}, {0, 3, 7, 8}, {0, 3, 7, 9},

{0, 3, 8, 9}, {0, 4, 5, 6}, {0, 4, 5, 7}, {0, 4, 5, 8}, {0, 4, 5, 9}, {0, 4, 6, 7}, {0, 4, 6, 8}, {0, 4, 6, 9}, {0, 4, 7, 8},

{0, 4, 7, 9}, {0, 4, 8, 9}, {0, 5, 6, 7}, {0, 5, 6, 8}, {0, 5, 6, 9}, {0, 5, 7, 8}, {0, 5, 7, 9}, {0, 5, 8, 9}, {0, 6, 7, 8},

{0, 6, 7, 9}, {0, 6, 8, 9}, {0, 7, 8, 9}, {1, 2, 3, 4}, {1, 2, 3, 5}, {1, 2, 3, 6}, {1, 2, 3, 7}, {1, 2, 3, 8}, {1, 2, 3, 9},

{1, 2, 4, 5}, {1, 2, 4, 6}, {1, 2, 4, 7}, {1, 2, 4, 8}, {1, 2, 4, 9}, {1, 2, 5, 6}, {1, 2, 5, 7}, {1, 2, 5, 8}, {1, 2, 5, 9},

{1,2, 6, 7}, {1, 2, 6, 8}, {1, 2, 6, 9}, {1, 2, 7, 8}, {1, 2, 7, 9}, {1, 2, 8, 9}, {1, 3, 4, 5}, {1, 3, 4, 6}, {1, 3, 4, 7},

{1, 3, 4, 8}, {1, 3, 4, 9}, {1, 3, 5, 6}, {1, 3, 5, 7}, {1, 3, 5, 8}, {1, 3, 5, 9}, {1, 3, 6, 7}, {1, 3, 6, 8}, {1, 3, 6, 9},

{1, 3, 7, 8}, {1, 3, 7, 9}, {1, 3, 8, 9}, {1, 4, 5, 6}, {1, 4, 5, 7}, {1, 4, 5, 8}, {1, 4, 5, 9}, {1, 4, 6, 7}, {1, 4, 6, 8},

{1, 4, 6, 9}, {1, 4, 7, 8}, {1, 4, 7, 9}, {1, 4, 8, 9}, {1, 5, 6, 7}, {1, 5, 6, 8}, {1, 5, 6, 9}, {1, 5, 7, 8}, {1, 5, 7, 9},

{1, 5, 8, 9}, {1, 6, 7, 8}, {1, 6, 7, 9}, {1, 6, 8, 9}, {1, 7, 8, 9}, {2, 3, 4, 5}, {2, 3, 4, 6}, {2, 3, 4, 7}, {2, 3, 4, 8},

{2, 3, 4, 9}, {2, 3, 5, 6}, {2, 3, 5, 7}, {2, 3, 5, 8}, {2, 3, 5, 9}, {2, 3, 6, 7}, {2, 3, 6, 8}, {2, 3, 6, 9}, {2, 3, 7, 8},

{2, 3, 7, 9}, {2, 3, 8, 9}, {2, 4, 5, 6}, {2, 4, 5, 7}, {2, 4, 5, 8}, {2, 4, 5, 9}, {2, 4, 6, 7}, {2, 4, 6, 8}, {2, 4, 6, 9},

{2, 4, 7, 8}, {2, 4, 7, 9}, {2, 4, 8, 9}, {2, 5, 6, 7}, {2, 5, 6, 8}, {2, 5, 6, 9}, {2, 5, 7, 8}, {2, 5, 7, 9}, {2, 5, 8, 9},

{2, 6, 7, 8}, {2, 6, 7, 9}, {2, 6, 8, 9}, {2, 7, 8, 9}, {3, 4, 5, 6}, {3, 4, 5, 7}, {3, 4, 5, 8}, {3, 4, 5, 9}, {3, 4, 6, 7},

{3, 4, 6, 8}, {3, 4, 6, 9}, {3, 4, 7, 8}, {3, 4, 7, 9}, {3, 4, 8, 9}, {3, 5, 6, 7}, {3, 5, 6, 8}, {3, 5, 6, 9}, {3, 5, 7, 8},

{3, 5, 7, 9}, {3, 5, 8, 9}, {3, 6, 7, 8}, {3, 6, 7, 9}, {3, 6, 8, 9}, {3, 7, 8, 9}, {4, 5, 6, 7}, {4, 5, 6, 8}, {4, 5, 6, 9},

{4, 5, 7, 8}, {4, 5, 7, 9}, {4, 5, 8, 9}, {4, 6, 7, 8}, {4, 6, 7, 9}, {4, 6, 8, 9}, {4, 7, 8, 9}, {5, 6, 7, 8}, {5, 6, 7, 9},

{5, 6, 8, 9}, {5, 7, 8, 9}, {6, 7, 8, 9}

If repeats are allowed, the number increases to 715 combinations - I'll leave it as an exercise for the reader to list the extra 505 combinations.

Term1/21
If the final is 15 percent of grade and have an average of 100 what score do you need to get at least 90 in the class
Definition1/21

You do not even need to get a 30% on the final. If you have a 100% in the class and get a 0% on the final, you willl still have an 85% in the class.

Term1/21
Stacy drove 200 miles in 4 hours What was her average speed
Definition1/21

50MPH (Miles Per Hour)

Term1/21
If a dose equals 150 mg how many doses are in 3 g
Definition1/21

20 doses

Term1/21
Why were slaves brought from Africa preferred over indigenous slaves
Definition1/21

They were much stronger physically

Term1/21
The siege of began when confederate forces of major general john pemberton were trapped against the Mississippi river by the union forces led by grant
Definition1/21

Vicksburg

Term1/21
What is the median of these numbers 5 6 6 7 8 9 9 0 2 3 5 6 8 8 8 8 8 0 1 2 3 5 5 6 7 7 8 0 2 4 5 7 8
Definition1/21

what is the median of these numbers 5 6 6 7 8 9 9 0 2 3 5 6 8 8 8 8 0 1 2 3 5 5 6 7 7 8 0 2 4 5 7 8

Term1/21
One number is twice as large as the second the sum of the two numbers is 366 what is the larger number
Definition1/21

244

Term1/21
One number is twice as large as the second The sum of the two numbers is 366 What is the smaller number
Definition1/21

122

Term1/21
Dusty planted a rectangular garden that had a perimeter of 36 yards The length of the garden is 6 feet longer than twice the width What is the length of the garden in feet
Definition1/21

28

Term1/21
The average age of the starting lineup of an NBA basketball team is 29 years The ages of four of the five players are 25 26 29 32 What is the age of the fifth player
Definition1/21

33

Term1/21
What is the quadrant of a ordered pair that has a negative x coordinate and a positive y coordinate
Definition1/21

An ordered pair that has a negative x-coordinate and a positive y-coordinate (-,+) would be plotted in which quadrant?

Term1/21
Lamar bought 20 pounds of dog food for 4.99 for his dog Buster The next day the shop down the street offered 50 pounds of the same brand of dog food for 12.50 Did Lamar get a better deal
Definition1/21

Yes he got a better deal

Term1/21
What is the solution of x2 - 4x -12 0
Definition1/21

x^2 - 4x -12 = 0

(x + 2) (x - 6) = 0

x + 2 = 0 or x - 6 = 0

x + 2 - 2 = 0 -2 or x - 6 + 6 = 0 + 6

x = -2 or x = 6

Term1/21
What is a table ordered pairs represent solutuions of function
Definition1/21

x| -1 | 0 | 1 | 2 | 3

y| 6 | 5 | 4 | 3 | 2

what function includes all of the ordered pairs in the table ?

Term1/21
How many values of l are possible when n equals 5
Definition1/21

4,3,2,1,0

Term1/21
What is the result of True AND False OR True
Definition1/21

True AND False OR True evaluates to True.

IT seems like it does not matter which is evaluated first as:

(True AND False) OR True = False OR True = True

True AND (False OR True) = True AND True = True

But, it does matter as with False AND False OR True:

(False AND False) OR True = False OR True = True

False AND (False OR True) = False AND True = False

and True OR False AND False:

(True OR False) AND False = True AND False = False

True OR (False AND False) = True OR False = True

Evaluated left to right gives a different answer if the operators are reversed (as can be seen above), so AND and OR need an order of evaluation. AND can be replaced by multiply, OR by add, and BODMAS says multiply is evaluated before add; thus AND should be evaluated before OR - the C programming language follows this convention.

This makes the original question:

True AND False OR True = (True AND False) OR True = False OR True = True

Term1/21
How many sentences are in a discrption
Definition1/21

Well there is not a certan number is a discription you can vary the better your discription it will usually be longer

Term1/21
How to add integers with the same sign
Definition1/21

Add the magnitudes, keep the sign.

Term1/21
F(x)3x plus 1 and g(x)x2-6 find (f-g)(x)
Definition1/21

(f - g)(x) = f(x) - g(g) = (3x + 1) - (x2 - 6) = -x^2 + 3x + 7

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Cards in this guide (21)
Average number of player per team

The average number of players per team depends on the team that is being studied. Arts teams generally have more than math teams.

What are the 4 digit combinations of the numbers 0 through 9

There are 10!/(4!(10-4)!) = 210 such combinations assuming no repeats are allowed:

{0, 1, 2, 3}, {0, 1, 2, 4}, {0, 1, 2, 5}, {0, 1, 2, 6}, {0, 1, 2, 7}, {0, 1, 2, 8}, {0, 1, 2, 9}, {0, 1, 3, 4}, {0, 1, 3, 5},

{0, 1, 3, 6}, {0, 1, 3, 7}, {0, 1, 3, 8}, {0, 1, 3, 9}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 1, 4, 7}, {0, 1, 4, 8}, {0, 1, 4, 9},

{0, 1, 5, 6}, {0, 1, 5, 7}, {0, 1, 5, 8}, {0, 1, 5, 9}, {0, 1, 6, 7}, {0, 1, 6, 8}, {0, 1, 6, 9}, {0, 1, 7, 8}, {0, 1, 7, 9},

{0, 1, 8, 9}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 3, 7}, {0, 2, 3, 8}, {0, 2, 3, 9}, {0, 2, 4, 5}, {0, 2, 4, 6},

{0, 2, 4, 7}, {0, 2, 4, 8}, {0, 2, 4, 9}, {0, 2, 5, 6}, {0, 2, 5, 7}, {0, 2, 5, 8}, {0, 2, 5, 9}, {0, 2, 6, 7}, {0, 2, 6, 8},

{0, 2, 6, 9}, {0, 2, 7, 8}, {0, 2, 7, 9}, {0, 2, 8, 9}, {0, 3, 4, 5}, {0, 3, 4, 6}, {0, 3, 4, 7}, {0, 3, 4, 8}, {0, 3, 4, 9},

{0, 3, 5, 6}, {0, 3, 5, 7}, {0, 3, 5, 8}, {0, 3, 5, 9}, {0, 3, 6, 7}, {0, 3, 6, 8}, {0, 3, 6, 9}, {0, 3, 7, 8}, {0, 3, 7, 9},

{0, 3, 8, 9}, {0, 4, 5, 6}, {0, 4, 5, 7}, {0, 4, 5, 8}, {0, 4, 5, 9}, {0, 4, 6, 7}, {0, 4, 6, 8}, {0, 4, 6, 9}, {0, 4, 7, 8},

{0, 4, 7, 9}, {0, 4, 8, 9}, {0, 5, 6, 7}, {0, 5, 6, 8}, {0, 5, 6, 9}, {0, 5, 7, 8}, {0, 5, 7, 9}, {0, 5, 8, 9}, {0, 6, 7, 8},

{0, 6, 7, 9}, {0, 6, 8, 9}, {0, 7, 8, 9}, {1, 2, 3, 4}, {1, 2, 3, 5}, {1, 2, 3, 6}, {1, 2, 3, 7}, {1, 2, 3, 8}, {1, 2, 3, 9},

{1, 2, 4, 5}, {1, 2, 4, 6}, {1, 2, 4, 7}, {1, 2, 4, 8}, {1, 2, 4, 9}, {1, 2, 5, 6}, {1, 2, 5, 7}, {1, 2, 5, 8}, {1, 2, 5, 9},

{1,2, 6, 7}, {1, 2, 6, 8}, {1, 2, 6, 9}, {1, 2, 7, 8}, {1, 2, 7, 9}, {1, 2, 8, 9}, {1, 3, 4, 5}, {1, 3, 4, 6}, {1, 3, 4, 7},

{1, 3, 4, 8}, {1, 3, 4, 9}, {1, 3, 5, 6}, {1, 3, 5, 7}, {1, 3, 5, 8}, {1, 3, 5, 9}, {1, 3, 6, 7}, {1, 3, 6, 8}, {1, 3, 6, 9},

{1, 3, 7, 8}, {1, 3, 7, 9}, {1, 3, 8, 9}, {1, 4, 5, 6}, {1, 4, 5, 7}, {1, 4, 5, 8}, {1, 4, 5, 9}, {1, 4, 6, 7}, {1, 4, 6, 8},

{1, 4, 6, 9}, {1, 4, 7, 8}, {1, 4, 7, 9}, {1, 4, 8, 9}, {1, 5, 6, 7}, {1, 5, 6, 8}, {1, 5, 6, 9}, {1, 5, 7, 8}, {1, 5, 7, 9},

{1, 5, 8, 9}, {1, 6, 7, 8}, {1, 6, 7, 9}, {1, 6, 8, 9}, {1, 7, 8, 9}, {2, 3, 4, 5}, {2, 3, 4, 6}, {2, 3, 4, 7}, {2, 3, 4, 8},

{2, 3, 4, 9}, {2, 3, 5, 6}, {2, 3, 5, 7}, {2, 3, 5, 8}, {2, 3, 5, 9}, {2, 3, 6, 7}, {2, 3, 6, 8}, {2, 3, 6, 9}, {2, 3, 7, 8},

{2, 3, 7, 9}, {2, 3, 8, 9}, {2, 4, 5, 6}, {2, 4, 5, 7}, {2, 4, 5, 8}, {2, 4, 5, 9}, {2, 4, 6, 7}, {2, 4, 6, 8}, {2, 4, 6, 9},

{2, 4, 7, 8}, {2, 4, 7, 9}, {2, 4, 8, 9}, {2, 5, 6, 7}, {2, 5, 6, 8}, {2, 5, 6, 9}, {2, 5, 7, 8}, {2, 5, 7, 9}, {2, 5, 8, 9},

{2, 6, 7, 8}, {2, 6, 7, 9}, {2, 6, 8, 9}, {2, 7, 8, 9}, {3, 4, 5, 6}, {3, 4, 5, 7}, {3, 4, 5, 8}, {3, 4, 5, 9}, {3, 4, 6, 7},

{3, 4, 6, 8}, {3, 4, 6, 9}, {3, 4, 7, 8}, {3, 4, 7, 9}, {3, 4, 8, 9}, {3, 5, 6, 7}, {3, 5, 6, 8}, {3, 5, 6, 9}, {3, 5, 7, 8},

{3, 5, 7, 9}, {3, 5, 8, 9}, {3, 6, 7, 8}, {3, 6, 7, 9}, {3, 6, 8, 9}, {3, 7, 8, 9}, {4, 5, 6, 7}, {4, 5, 6, 8}, {4, 5, 6, 9},

{4, 5, 7, 8}, {4, 5, 7, 9}, {4, 5, 8, 9}, {4, 6, 7, 8}, {4, 6, 7, 9}, {4, 6, 8, 9}, {4, 7, 8, 9}, {5, 6, 7, 8}, {5, 6, 7, 9},

{5, 6, 8, 9}, {5, 7, 8, 9}, {6, 7, 8, 9}

If repeats are allowed, the number increases to 715 combinations - I'll leave it as an exercise for the reader to list the extra 505 combinations.

If the final is 15 percent of grade and have an average of 100 what score do you need to get at least 90 in the class

You do not even need to get a 30% on the final. If you have a 100% in the class and get a 0% on the final, you willl still have an 85% in the class.

Stacy drove 200 miles in 4 hours What was her average speed

50MPH (Miles Per Hour)

If a dose equals 150 mg how many doses are in 3 g

20 doses

Why were slaves brought from Africa preferred over indigenous slaves

They were much stronger physically

The siege of began when confederate forces of major general john pemberton were trapped against the Mississippi river by the union forces led by grant

Vicksburg

What is the median of these numbers 5 6 6 7 8 9 9 0 2 3 5 6 8 8 8 8 8 0 1 2 3 5 5 6 7 7 8 0 2 4 5 7 8

what is the median of these numbers 5 6 6 7 8 9 9 0 2 3 5 6 8 8 8 8 0 1 2 3 5 5 6 7 7 8 0 2 4 5 7 8

One number is twice as large as the second the sum of the two numbers is 366 what is the larger number

244

One number is twice as large as the second The sum of the two numbers is 366 What is the smaller number

122

Dusty planted a rectangular garden that had a perimeter of 36 yards The length of the garden is 6 feet longer than twice the width What is the length of the garden in feet

28

The average age of the starting lineup of an NBA basketball team is 29 years The ages of four of the five players are 25 26 29 32 What is the age of the fifth player

33

What is the quadrant of a ordered pair that has a negative x coordinate and a positive y coordinate

An ordered pair that has a negative x-coordinate and a positive y-coordinate (-,+) would be plotted in which quadrant?

Lamar bought 20 pounds of dog food for 4.99 for his dog Buster The next day the shop down the street offered 50 pounds of the same brand of dog food for 12.50 Did Lamar get a better deal

Yes he got a better deal

What is the solution of x2 - 4x -12 0

x^2 - 4x -12 = 0

(x + 2) (x - 6) = 0

x + 2 = 0 or x - 6 = 0

x + 2 - 2 = 0 -2 or x - 6 + 6 = 0 + 6

x = -2 or x = 6

What is a table ordered pairs represent solutuions of function

x| -1 | 0 | 1 | 2 | 3

y| 6 | 5 | 4 | 3 | 2

what function includes all of the ordered pairs in the table ?

How many values of l are possible when n equals 5

4,3,2,1,0

What is the result of True AND False OR True

True AND False OR True evaluates to True.

IT seems like it does not matter which is evaluated first as:

(True AND False) OR True = False OR True = True

True AND (False OR True) = True AND True = True

But, it does matter as with False AND False OR True:

(False AND False) OR True = False OR True = True

False AND (False OR True) = False AND True = False

and True OR False AND False:

(True OR False) AND False = True AND False = False

True OR (False AND False) = True OR False = True

Evaluated left to right gives a different answer if the operators are reversed (as can be seen above), so AND and OR need an order of evaluation. AND can be replaced by multiply, OR by add, and BODMAS says multiply is evaluated before add; thus AND should be evaluated before OR - the C programming language follows this convention.

This makes the original question:

True AND False OR True = (True AND False) OR True = False OR True = True

How many sentences are in a discrption

Well there is not a certan number is a discription you can vary the better your discription it will usually be longer

How to add integers with the same sign

Add the magnitudes, keep the sign.

F(x)3x plus 1 and g(x)x2-6 find (f-g)(x)

(f - g)(x) = f(x) - g(g) = (3x + 1) - (x2 - 6) = -x^2 + 3x + 7

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