Answer:
The Answer is 1/4 hope it helps
Step-by-step explanation:
This is so provided that the velocity changes continuously in which case we can apply the mean value theorem.
<span>Velocity (v) is the derivative of displacement (x) : </span>
<span>v = dx/dt </span>
<span>Monk 1 arrives after a time t* and Monk 2 too. </span>
<span>Name v1(t) and v2(t) their respective velocities throughout the trajectory. </span>
<span>Then we know that both average velocities were equal : </span>
<span>avg1 = avg2 </span>
<span>and avg = integral ( v(t) , t:0->t*) / t* </span>
<span>so </span>
<span>integral (v1(t), t:0->t*) = integral (v2(t), t:0->t*) </span>
<span>which is the same of saying that the covered distances after t* seconds are the same </span>
<span>=> integral (v1(t) - v2(t) , t:0->t*) = 0 </span>
<span>Thus, name v#(t) = v1(t) - v2(t) , then we obtain </span>
<span>=> integral ( v#(t) , t:0->t*) = 0 </span>
<span>Name the analytical integral of v#(t) = V(t) , then we have </span>
<span>=> V(t*) - V(0) = 0 </span>
<span>=> V(t*) = V(0) </span>
<span>So there exist a c in [0, t*] so that </span>
<span>V'(c) = (V(t*) - V(0)) / (t* - 0) (mean value theorem) </span>
<span>We know that V(0) = V(t*) = 0 (covered distances equal at the start and finish), so we get </span>
<span>V'(c) = v#(c) = v1(c) - v2(c) = 0 </span>
<span>=> v1(c) = v2(c) </span>
<span>So there exist a point c in [0, t*] so that the velocity of monk 1 equals that of monk 2. </span>
<h2>Hello</h2>
The answers are:
a) The name of the function is y, and it's a Square Root Function.
b) Independent variable : x , dependent variable : y
c) The rule that assigns exactly one output to the very input is called "function".
d) 
<h2>Why?</h2>
The name of a function can be also given as a single letter (y). For this exercise, the name of the function is "y", and it's a Square Root Function.
The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".
The dependent variable is the function itself (y), and it's called "dependent" variable because its values will always depend on the "independent variable".
A function is the rule that states that there is exactly one output (range value) to the very input (domain value). A function only exists when there is exactly one output value (range) for each given input (domain), if there is more than one output for each input, the function does not exist.
To evaluate a function we assign values to the independent variable(x), hence:

Have a nice day!
Answer:
The required expression is 
Step-by-step explanation:
Consider the provided information.
A tissue can be 0.000075 meters thick and we need to represent it into scientific notation.
Steps to write a number in scientific notation.
- Move the decimal place to the right so that the new number from 1 up to 10.
- Determine the exponent, the exponent is the number of times you moved the decimal.
Now, consider the number 0.000075
Move the decimal point to 5 place right so that the new number from 1 up to 10.
Now, put the exponent the number of times you moved decimal. 
Hence, the required expression is 
Parenthises
Exponent
Multiply
Divide
Add
Subtract
The answer is true because it comes before subtraction in the phrase PEMDAS.