Answer: 1050
Step-by-step explanation:
Number of combinations of selecting r things out of n = 
such that 
Given: A restaurant menu has 5 kinds of soups, 7kinds of main courses, 6 kinds of desserts, and 5 kinds of drinks.
If a customer randomly selects one item from each of these four categories, then by fundamental counting principle , the number of different outcomes are possible = 
hence, total number of outcomes = 1050
Answer:
False
Step-by-step explanation:
Since we already know the value of x lets plug it in and multiply it
-2+11-5(6)=5-6(6)
-2+11-30=5-36
Now lets put them together
9-30=5-36
-21 = -31
Making x=6 false
anaalyze the problem
first term: -1
common difference: +9 (8-(-1) is 9)
so, an=-1+9n-9
answer is an=9n-10, with n bigger or equal to one
sixth term,plug in 9(6)-10=54-10=44
tenth term, plug in 9(10)-10=90-10=80
Answer:
0.17
Step-by-step explanation:
The function can be rewritten as ...
B(t) = 9300·((1/2)^6)^t = 9300·(1/2)^(6t)
In order to multiply the number of bacteria by 1/2, the value of the exponent 6t must be equal to 1:
6t = 1
t = 1/6 ≈ 0.166667 ≈ 0.17
The culture loses half its size every 0.17 seconds.
Answer:
-def. In multiplication, the order doesn't matter.
Step-by-step explanation:
A crucial property you can use to simplify this is the fact that, in multiplication, order doesn't matter.
3 * 2 = 6
2 * 3 = 6
5 * 2 * 3 = 30
2 * 3 * 5 = 30
3 * 2 * 5 = 30
Thus,
edf, or
e * d * f
is the same as def,
d * e * f
e * d * f = d * e * f
edf = def
Thus, 12edf is the same as 12def. We can put this in our expression:
12edf - 13def
12def - 13def
Now, we can see that this will equal -1def or -def
12def - 13def
-1def
-def
Answer: -def. In multiplication, the order doesn't matter.