Given functions are
The total number of ducks and swans in the lake after n months can be determined by adding the functions s(n) and d(n).
Taking 2 as common, we get
Hence The total number of ducks and swans in the lake after n months is
When we cube root 123, we get a decimal which rounds out to 4.97. So possible side lengths would be any number greater than that.<span />
Answer:
7 terms
Step-by-step explanation:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. ... Examples of single terms: 3x is a single term.
Answer:
x = 4
Step-by-step explanation:
If the lonely negative sign infront of the brackets is confusing, it can be rewritten as -1.
To solve, simplify by expanding then isolate x.
-8 = -( x +4)
-8 = -1 ( x +4) Distribute over brackets by changing the each term's sign
-8 = -x - 4 Start isolating x by moving everything to the other side
-8 +4 = -x -4 + 4 Add 4 to both sides so it cancels out on the right
-4 = -x
-4 = -1x <= -x is the same at -1x
-4/-1 = -x/-1 <=divide both sides by negative 1
4 = x
x = 4 <= usually we write the variable on the left side
Answer:
0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.
Step-by-step explanation:
Independent events:
If two events are independent, the probability of both happening is the multiplication of their probabilities.
Rock-paper-scissors rules:
A player that choose rocks beats one who chooses scissors.
A player that choose paper beats one who chooses rocks.
A player that choose scissors beats one who chooses paper.
Probability that roommate A wins the game and thus does not have to wash the dishes.
3 possible events:
Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)
So
Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).
So
Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).
So
Probability of roommate A winning:
0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.