Answer:
There are 25 possible schedules.
Step-by-step explanation:
The order in which they play soccer is not important(Monday and Tuesday is the same as Tuesday and Monday), and thus the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Monday but not Tuesday:
Monday(1) and 2 out of the remaining 7 - 2 = 5. So
Tuesday but not Monday:
Tuesday(1) and 2 out of the remaining 7 - 2 = 5. So
Monday and Tuesday:
Monday and Tuesday(1), plus one out of the remaing 5 days. So
Total:
10 + 10 + 5 = 25
There are 25 possible schedules.
Answer:
You know that if f(x) = 1/(x²+1) then F(x)=arctan(x).
What is arctan(x) function? It is inverse function of tan(x) in tge range (-π/2, π/2).
So if tan(x) = y then x = arctan(y)
therefore arctan(-1) = -π/4 because tan(-π/4)=-1 and arctan(1)=π/4 because tan(π/4) = 1.
In conclusion:
integral (dx/(x²+1)) from -1 to 1 =
= F(1) - F(-1) = arctan(1) - arctan(-1) =
=π/4-(-π/4)=π/4+π/4 = π/2.
answer B is correct
45% of 20 is going to be 9
Answer:
1km=1000m 160m=0.160x4=0.64
Step-by-step explanation:
Ifl = 160m, then:
P = 4 * 160m\\P = 640m
Thus, the perimeter of the base of the pyramid is 640m.
On the other hand, by definition: 1Km = 1000m
By making a rule of three we have:
1Km ---------> 1000m
x --------------> 640m
Where "x" represents the perimeter of the base of the pyramid in Km.
x = \frac {640 * 1} {1000}\\x = 0.64km
Answer:
Because they are fractions, any rational number can also be expressed in decimal form. Any rational number can be represented as either: a terminating decimal: 158=1.875 15 8 = 1.875 , or. a repeating decimal: 411=0.36363636⋯=0.
Step-by-step explanation:
Terminating decimals are those numbers which come to an end after few repetitions after decimal point. Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals.
I tried my best on explaining, sorry if it didn't help.
