The velocity of the particle is given by

Since
and
, we get


Similarly, the position function is obtained via

We know
and we're told that
, so


making the answer A.
Answer:
161700 ways.
Step-by-step explanation:
The order in which the transistors are chosen is not important. This means that we use the combinations formula 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.

In this question:
3 transistors from a set of 100. So

So 161700 ways.
51 so I hope that help you in the long turm
Answer:
x = 25
Step-by-step explanation:
It is given that, ray Ray AP bisects angle CAT. It means,

Also, 
It gives, 
ATQ,

So,

Taking like terms together,

So, the value of x is 25.
Ohhhh nasty ! What a delightful little problem !
The first card can be any one of the 52 in the deck. For each one ...
The second card can be any one of the 39 in the other 3 suits. For each one ...
The third card can be any one of the 26 in the other 2 suits. For each one ...
The fourth card can be any one of the 13 in the last suit.
Total possible ways to draw them = (52 x 39 x 26 x 13) = 685,464 ways.
But wait ! That's not the answer yet.
Once you have the 4 cards in your hand, you can arrange them
in (4 x 3 x 2 x 1) = 24 different arrangements. That tells you that
the same hand could have been drawn in 24 different ways. So
the number of different 4-card hands is only ...
(685,464) / (24) = <em>28,561 hands</em>.
I love it !