Solution :
It is given that four different prizes were awarded. So,
a). 4 ways for person 47 to win a prize
99 ways to give out the 2nd prize
98 ways to give the 3rd prize
97 ways to give the last prize
∴ P(99,3) = 99 x 98 x 97
b). 1 way to give person 47 their prize
1 way to give person 19 their prize
98 ways to give out the 3rd prize
97 ways to give out the last prize
So, P(98,2) = 98 x 97
Hey there!
2 - 4 * 6
= 2 - 24
= -22
Option A.
7 * (5 - 2) + 6
= 7 * 3 + 6
= 21 + 6
= 27
Option A. is incorrect
Option B.
5 + 2 * 7 + 6
= 5 + 14 + 6
= 19 + 6
= 25
Option B. is also incorrect
Option C.
7 * (5 + 2) - 6
= 7 * 7 - 6
= 49 - 6
= 43
Option C. is also incorrect
Option D.
6 - 2 + (7 * 5)
= 6 - 2 + 35
= 4 + 35
= 39
Thus, it seems like NONE of the ABOVE is correct
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
Period is 2π
Horizontal shift = 0
Step-by-step explanation:
We know that 
and as 
, so, we can write 
Therefore, the if 
then (Answer)
Now, the period of 
is 2π, hence the period of 
is also 2π. (Answer)
Again. 
, hence, the horizontal shift of is 0. (Answer)
Answer:
when you multiply a whole number by itself it will obviously get bigger.
4 to the 2nd power equals 16 because 4x4 = 16
if you were to multiply a smaller number though, it wouldn't get as big.
Each number you put to the same exponent will not get bigger at the same rate since each number isnt being multiplied by the same thing.
ex. 4 and 6 are raised to the second power both dont get multiplied by the same number 4 is multiplied by 4, and 6 by 6, therefore the bigger the number the bigger it grows.
Fractions get smaller for this reason when you have the fraction 2/3 raised to the second, both numbers must be raised. 2 to the second equals 4 while 3 to the second is 9.
1/2 to the second would then equal 1/4 since 1 to the second equals 1 and 2 to the second equals 4.
Step-by-step explanation:
Answer:
32 degrees
Step-by-step explanation:
If lines r and t are parallel then it would be 180-148
