Add 5 to both sides
y + 5 = x^2
Take the square root of both sides
±√y + 5 = x
Switch sides
<u>x = ±√y + 5</u>
3141.6 cubic meters
Step-by-step explanation:
The volume of a cylinder is given by;
πr²h
π * (²⁰/₂)² * 10
π * 100 * 10
= 3141.6
Answer:
Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.
Step-by-step explanation:
First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y. We conclude that f is surjective.
However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.
Note:
If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.
Answer: The total number of pizzas that can be made from the given choices is 24.
Step-by-step explanation: Given that a pizza parlor offers 3 sizes of pizzas, 2 types of crust, and one of 4 different toppings.
We are to find the number of different pizzas that can be made from the given choices.
We have the <em><u>COUNTING PRINCIPLE :</u></em>
If we have m ways of doing one task and n ways of doing the second task, then the number of ways in which we can do both the tasks together is m×n.
Therefore, the number of different pizzas that can be made from the given choices is
Thus, the total number of pizzas that can be made from the given choices is 24.
