<h3>Answer:</h3>
x/tan(x) is an even function
sec(x)/x is an odd function
<h3>Explanation:</h3>
<em>x/tan(x)</em>
For f(x) = x/tan(x), consider f(-x).
... f(-x) = -x/tan(-x)
Now, we know that tan(x) is an odd function, so tan(-x) = -tan(x). Using this, we have ...
... f(-x) = -x/(-tan(x)) = x/tan(x) = f(x)
The relation f(-x) = f(x) is characteristic of an even function, one that is symmetrical about the y-axis.
_____
<em>sec(x)/x</em>
For g(x) = sec(x)/x, consider g(-x).
... g(-x) = sec(-x)/(-x)
Now, we know that sec(x) is an even function, so sec(-x) = sec(x). Using this, we have ...
... g(-x) = sec(x)/(-x) = -sec(x)/x = -g(x)
The relation g(-x) = -g(x) is characeristic of an odd function, one that is symmetrical about the origin.
Answer:
- 110110 in base 2 when converted in base 10 will be equal to 54
- 25 in base 10 is equal to 1001 base 2
Step-by-step explanation:
Part 1: 110110two to base ten
For conversion from base 2 to base 10 we multiply each digits of given number with powers of 2
So
So 110110two when converted in base 10 will be equal to 54
Part 2: 25ten to base two
For conversion from base 10 to base 2 we will divide the given number with 2 repeatedly and store the remainders until the quotient comes 1. The solution is as follows:
25/2 = 12 remainder 1
12/2 = 6 remainder 0
6/2 = 3 remainder 0
3/2 = 1 remainder 1
Now the remainders will be written in inverse order as:
=1001 base 2
So 25 in base 10 is equal to 1001 base 2
I hope it will help you!
The percentage of the people surveyed that were satisfied with the car is 45%.
<u>Given the following data:</u>
- Total population = 1,600 people
- Number of car owner = 720 people.
To determine the percentage of the people surveyed that were satisfied with the car:
<h3>
How to solve for a percentage.</h3>
In this exercise, you're required to calculate the percentage of the total population in this survey that would by a particular type of car again because they were satisfied with it. Thus, we would solve for the percentage as follows;
Substituting the given parameters into the formula, we have;
Percent = 45%
Read more on percentage here: brainly.com/question/14432715
X-y=5
x times y= 84
-7 and -12
Answer:
b(-10)= -6
Step-by-step explanation:
b(x)= |x+4|
b(-10)= |-10+4|
b(-10)= -6
