The total amount of compost Annie gets is 12 every day
c equals 12 every d
c = 12d
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:
Step-by-step explanation:
Let the x be the number of hours after noon.
<u>We have the following equation:</u>
- 14.83 + 0.12(x + 3) = 15.33 - 0.15x
- 14.83 + 0.12x + 0.36 = 15.33 - 0.15x
- 0.12x + 0.15x = 15.33 - 15.19
- 0.27x = 0.14
- x = 0.14/0.27
- x ≈ 0.5
1/4 2/8 3/12 4/16 5/20 6/24
Step-by-step explanation:
OP=11.2
m<Q= 42⁰
m<R=48⁰
The tools used are....
I have used the property of Pythagoras Theorm to get the length of side QP, I have also used the property of inverse function of sin to get the measure of angle Q and the property of sum of angles of triangle to get measure of angle of R