Let us name the players A,Dave,Zack,Paul,E and F
For the first position there are two candidades ( Zack / Paul )
For the second position there is only one candidate i.e. Dave
For the third place there will be 4 candidates (out of Zack and Paul - 1 as one of them is already taken for the first position and A, E and F total-4)
For the fourth place there will be 3 candidates ( out of the four available candidates in the 3rd place, one will be taken up for 3rd place )
For the fifth place there will be 2 candidates
Finally, for the last place there will be only one candidate left.
On multiplying the no. of available cadidates, we get 2 * 1 * 4 * 3 * 2 * 1 = 48 i.e. option (A)
Please mention minor spelling mistakes
For the second question:
Let the no of dotted marbles be 'x' and no of striped marbles be 'y'
then the equation will become as follows
(y+6)/x = 3
and
(x+6)/y = (2/3)
On solving the equations, we will get x = 10 and y = 24
Total balls = 10+24+6 = 40 (option E)
Answer 3 will be ) For the first edge, he can choose 3 paths
For the second edge he can choose 2 paths for each path of its first edge's path
For the third , he is bounded to move on the paths created by the first and the second edges hence 1 path for each path created by the first and the second edge together
It will be multiplication of all the possibilities of the paths of the three edges differently.........
i.e. 3 * 2 * 1 = 6
For
to be continuous at
, you need to have the limit from either side as
to be the same.
If
and
, then the limit from the right would be
, so the answer to part (1) is no, the function would not be continuous under those conditions.
This basically answers part (2). For the function to be continuous, you need to satisfy the relation
.
Part (c) is done similarly to part (1). This time, you need to limits from either side as
to match. You have
So,
and
have to satisfy the relation
, or
.
Part (4) is done by solving the system of equations above for
and
. I'll leave that to you, as well as part (5) since that's just drawing your findings.
4/500=0.008
scientific notation form = 8 x 10^9
Answer:
Step-by-step explanation:
3x² - 3x + 7 = 0
a = 3 ; b = -3 and c = 7
D = b² - 4ac = (-3)² - 4*3*7
D = 9 - 84 = - 75
D = 75i²
√D = √75i² = 
Answer: the number of presents that she has left to purchase is 6
Step-by-step explanation:
Let x represent the total number of presents that she has to purchase.
She bought three presents and says that she has 30% of her shopping finished. This means that she has finished (1/3 × x) = x/3 shopping. This is equivalent to 3 presents. Therefore,
x/3 = 3
x = 3×3 =9
She had 9 shopping to do
The number of shopping left will be total shopping that she has to do minus the shopping that she has done. It becomes
9 - 3 = 6
