Answer: 16,384
Step-by-step explanation:
The seven marbles have different colours, so we can differentiate them.
Now, suppose that for each marble we have a selection, where the selection is in which jar we put it.
For the first marble, we have 4 options ( we have 4 jars)
For the second marble, we have 4 options.
Same for the third, for the fourth, etc.
Now, the total number of combinations is equal to the product of the number of options for each selection.
We have 7 selections and 4 options for each selection, then the total number of combinations is:
C = 4^7 = 16,384
X+_=-7 and x+_=-4. Add 7 and 4 to each side to get (x+7) and (x+4). You want to FOIL these next, so (x+7)(x+4) = x^2+4x+7x+28. Now you just need to combine like terms, and BAM. There's your answer.
You should get something like x^2+11x+28 (:
The formula is y2 minus y1 over x2 minus x1 or rise (y) over run (x). So you would do (-5) - (5) over (3) - (-5). that would equal -10 over 8, or -5/4 when you simplify. your slope would be -5/4
Answer:
see explanation
Step-by-step explanation:
Using the Cosine rule
a² = b² + c² - 2abcosA ← Rearranging for cosA gives
cosA = 
(a)
let a = 10, b = 7, c = 8 and A = α, then
cosα = 
= 
= 
, thus
α = 
( ) ≈ 83° ( to the nearest degree )
(b)
let the angle opposite side 7 be x
Using the Sine rule
= 
( cross- multiply )
10sinx = 7sin83 ( divide both sides by 10 )
sinx = 
, thus
x = 
( ) = 44°
The third angle can be found using the sum of angles in a triangle
third angle = 180° - (83 + 44)° = 180° - 127° = 53°
The 3 angles are 83°, 44°, 53°
Answer:
2hours = 13 games 12 divided by 2
13
x 6
--------
78
joseph plays 78 matches of among us a day
