Answer:
one quarter of the total number of students will be those who failed their exam.
Step-by-step explanation:
Three - fourths = those who passed the exam
one quarter will be those who failed their exam
From the total number of the students.
Let's make an example
40 students who take the exam.
3 over 4 students from the total number of 40 take the exam and the result is passed and it mean 30 students passed in the exam.
1 over 4 students take the exam and the result is failed and it mean 10 students failed in the exam.
4 minus 3 over 4 will get the answer 1 over 4.
Use 1 over 4 to multiple with the total number of the students and that how you will get the answer for those who failed in their exam.
Answer:
1
Step-by-step explanation:
The difference between a number and its successor is 1
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:
Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:
Simplify:
Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
Answer:
3.
7.608
Step-by-step explanation:
An irrational number is any number which can't be written as a fraction this way. For example, pi and the square root of two cannot be expressed as a fraction of two whole numbers, so they are both irrational.
if we make the respective accounts in the first and second problem we will see that they are irrational numbers
the fourth is a periodic number, which falls within the irrational
the only rational is the third
d = 16.76 inches
Step-by-step explanation:
We can extend the definition of the Pythagorean theorem to 3-dimensions:
Let x = 10 in
y = 10 in
z = 9 in
