Answer:
17-d=5
Step-by-step explanation:
Hope this helps :)
Answer:
It will take 5.61 seconds for the coin to reach the stream.
Step-by-step explanation:
The height of the coin, after t seconds, is given by the following equation:

How long will it take the coin to reach the stream?
The stream is the ground level.
So the coin reaches the stream when h(t) = 0.


Multiplying by (-1)

Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



In this question:

So




Time is a positive measure, so we take the positive value.
It will take 5.61 seconds for the coin to reach the stream.
Answer: 0.9730
Step-by-step explanation:
Let A be the event of the answer being correct and B be the event of the knew the answer.
Given: 


If it is given that the answer is correct , then the probability that he guess the answer 
By Bayes theorem , we have


Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.
Answer:
Adding them together. x = 3/2, y = 8
Step-by-step explanation:
Adding because we want to get rid of a variable. If we add, 2x + 6x = 8x, 1/2 * y + (-1/2 * y) = 0, and 7 + 5 = 12. Adding gets rid of the y variable.
By adding we get that 8x = 12 which gives us x = 12/8 = 3/2
Substituting this back into either equation will give us y = 8.