3 ones = 3
7 hundredths = 7/100
So equivalent fraction is 3 7/100 or 307/100.
Equivalent decimal is: 3.07
Answer:
Answers are square root of 2, square root of 7,
Step-by-step explanation:
Irational is a number that is never ending.
Square root of 2 is irrational since there is no pattern to the number after the decimal.
10/ sqrt of 100. Sqrt of 100 is 10. 10/10 = 1 so this is not a irrational.
Sqrt of 7 does not have a pattern after the decimal point so it is irrational.
5.87 with a dash on top is rational since it means it has a pattern of continues 87's.
Last one it is equal to 2 so it is rattional.
Answer:
A
Step-by-step explanation:
the plant will increase because no grasshopper will be present to eat them without the grasshopper the mice cannot eat so the mice population will decrease....
Complete Question
The complete question is shown on the first uploaded image
Answer:
First Question
Option A is correct
Second Question
Option C is correct
Third Question
Fourth Question
So substituting for D in (ABC) D = I
This proof that ABC is invertible
Step-by-step explanation:
From the question we are told that
A , B and C are invertible which means that 
exist
Now
From the question
(ABC) D = I
Where I is an identity matrix
Now when we multiply both sides by 
we have
Now when we multiply both sides by 
we have
Now when we multiply both sides by 
we have
So substituting for D in the above equation
This proof that ABC is invertible
Answer:
f(n) = - 0.5n + 6
Step-by-step explanation:
Because Vince cuts down his television watching at a steady pace, his situation models a linear function. As such, we can use slope-intercept form to write and predict his hours watching tv in n weeks.
Slope-intercept form is y=mx+b. In this case, we are choosing to use f(n) instead of y to show the number of hours he is watching tv. We are also choosing to use n weeks instead of x. So we have the form f(n)=mn+b.
We know that Vince starts out at watching 6 hours a week. This is our initial value known as the y-intercept and represented by b. As each week passes, he will decrease from the previous week by 30 minutes or -0.5 hours since 30 out of 60 minutes is 0.5. And since he is decreasing it should be a negative rate of -0.5 and is represented by m.
We substitute b=6 and m=0.5 into our form to get f(n)=-0.5n+6. Let's test week 1. After 1 week he should be down from 6 hours to 5.5 hours or 5 hours and 30 minutes. Let's substitute n=1.
f(n)=-0.5(1)+6=-0.5+6=5.5
We can substitute for any n week and find the amount.
