Answer:
Check it down.
Step-by-step explanation:
Injective functions or One to one functions are functions in each one element of A set is is mapped to another element of B set
1) Let's start by listing supposition and their respective Reasons
Suppose:
is injective then is also injective.
Reason: Given
2) Since we are dealing with injective (one to one) functions, we can rightly proceed:
Given the fact that
Then we can say that since f: A is an injective too ("one to one" ) function.
B is the answer !! Hope this helps
Answer:
Inside the jar there's 16 nickels and 35 quarters.
Step-by-step explanation:
Since there are only nickels and quarters in the jar, the sum of the number of nickels and the number of quarters inside it must be equal to the total number of coins in the jar. So
nickels + quarters = 51
We know the total value inside the jar, to obtain this value we must multiply the amount of each kind of coin by it's value and sum it. So we have:
0.05*nickels + 0.25*quarters = 9.55
We now have two equations and two variables, so we can solve them as follows:
nickels + quarters = 51
0.05*nickels + 0.25*quarters = 9.55
From the first equation:
nickels = 51 - quarters
0.05*(51 - quarters) + 0.25*quarters = 9.55
2.55 - 0.05*quarters + 0.25*quarters = 9.55
0.2*quarters = 9.55 - 2.55
quarters = 7/0.2 = 35
nickels = 51 - 35 = 16
Inside the jar there's 16 nickels and 35 quarters.
Answer:
The length of the arc is 2.25 units.
Step-by-step explanation:
The circumference of a circle is , where r is radius of the circle.
Total angle of a circle in degree is 360°.
Length of central angle formula
Given that,
A circle has a circumference of 5 units.An arc in the circle has a central angle of 162°.
Then,
=2.25 units.
The length of the arc is 2.25 units.