<h3>
Answer: 6</h3>
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Explanation:
Think of a table that has 2 rows and 3 columns.
Each row represents a different math class (either Algebra or Geometry).
Each column represents a different foreign language class (French, Spanish or Latin).
This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.
In short, all we have to do is multiply the number of classes for each subject.
In a standard deck of cards, there are 13 diamond cards and 39 non diamonds. To choose 3 diamonds from 13 cards would be equivalent to 13*12*11 as there are less cards to choose from each time you remove a card. To choose two non diamonds from the other non diamonds cards would be equivalent to 39*38, taking into account the number of cards you remove each time you pick out one card. Hence the total number of ways is 13x12x11x39x38.
Answer:
23
Step-by-step explanation:
All triangles = 180 degrees
65 + 4x + x = 180
65 + 5x = 180
- 65 - 65
----------------------
5x = 115
--- = ----
5 = 5
x = 23
4(23) = 92
F = x = 23
B> 65
92 + 23 + 65 = 180
x = 23
F> = B>
That the result will be negative
because
a negative number, example -2 is equal to -1 times 2
odd power
even powers cancel negatives
so examle
(-2)^3=((2^3)((-1)^3)=(8)(-1)=-8
the concluseion is that the result will be negative
If we let x as the number of years of service in the company and f(x) as the increase in the wage, the step wise function that describes the scenario is
f(x) = { 0.5, x < 3
{ 1.0, 3 ≤ x < 6
{ 1.5, 6 ≤ x < 9
{ 2.0, 9 ≤ x < 12
The point (2, 12) represents the wage increase of x < 12