Answer:
The correct option is;
0.100100010000...
Step-by-step explanation:
An irrational number in mathematics are the subset of real numbers that are not rational numbers such as √2, π, e. As such it is not possible to express an irrational number as a ratio of two integers, or expressed in the form of a simple fraction.
The decimal portion of the expression of an irrational number are non periodic and they do not terminate. Transcendental, which are non algebraic, numbers are all irrational numbers
In the question, the number 0.100100010000... has non terminating non recurring decimals and is therefore an irrational number.
Answer:
90
Step-by-step explanation:
for percentage
×100
= 0.9×100
=90
Answer: See each part below.
Part A: The y-intercept is the first value, or 12. That means that they bird is 12 miles from its nest when the time started.
Part B: The average rate of change is the slope. From 1 to 3 hours, the bird went from 20 to 36 or 16 miles. 16 miles in 2 hours is the same as 8 miles in 1 hour.
Part C: To find the extent of the domain, write and solve the following equation for 172 miles.
172 = 8x + 12
160 = 8x
20 = x
The domain will go up to 20 hours.
A.) according to the graph, Austin appears to be burning 10 calories per minute. If you look at a perfect point on the graph, which I chose (50,5) and you do x over y or calories per minute, you get a unit rate of 10 calories per minute.
b.) Since you have already found the unit rate in question a, your slope would be 10.
By using the information you have, you can use make a proportion to solve this.
You burn 4 logs in 2 hours or 4/2. You are comparing this to your unknown number, x, over 8 hours. So it looks like this 4/2 = x/8. You read it as four logs in two hours is x logs in eight hours. To solve you cross multiply. You do 2 times x and 4 times eight. That would be 2x= 32. Your goal is getting x alone, so divide each side by 2. Your answer is x= 16 logs in eight hours. You can solve this different and maybe easier ways but this is the best way if you want to get used to going this in algebra. Hope that helps! :)