Consider the (x, y) coordinates to be: (2004, 510000) and (2011, 830000).
Average rate of change is another name for slope, So, use the slope formula:
Answer: 320,000 acres every 7 years
Answer: 45714 per year.
Step-by-step explanation:
Given : In 2004, 510,000 acres of farmland in region were devoted to growing nuts. by 2011, the number of acres used to grow nuts had increased to 830,000.
Change in acres of farmland from 2004 to 2011 = 830000-510000=320,000
Change in year = 2011-2004=7
The average rate of change is given by :-
Hence, the average rate of change in the number of acres in a region used to grow nuts from 2004 to 2011 is 45714 per year.
The slower cyclist's speed is 10 mph, and the faster cyclist's speed is 20 mph.
Let's denote the speed of the slower cyclist as "x" miles per hour (mph). Since the faster cyclist is going twice as fast, their speed would be "2x" mph.
When they start riding towards each other, their combined speed is the sum of their individual speeds:
Combinedspeed = x + 2x
= 3x mph.
We are given that they meet 3 hours later and travel a totaldistance of 90 miles.
The distance each cyclist travels can be calculated using the formula:
Distance = Speed × Time.
For the slower cyclist:
Distance = x × 3
Distance = 3x miles.
For the fastercyclist:
Distance = 2x × 3
Distance= 6x miles.
Since they are 90 miles apart and have traveled a total distance of 90 miles when they meet, we can set up an equation:
Distance of slower cyclist + Distance of faster cyclist = Total distance
3x + 6x = 90.
Simplify the equation:
9x = 90.
Divide both sides by 9:
x = 10.
So, the speed of the slower cyclist is 10 mph, and the speed of the faster cyclist is 2x which is 20 mph.
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Answer:
B. The domain would only include positive integers.
C. The domain would only include positive numbers.
Step-by-step explanation:
We are given a function that represents the amount of money in the checking account.
As, the function contains the amount of money in the account, the domain cannot have negative values.
So, the domain cannot include all real numbers and it cannot include only integers.
Therefore, the domain can include positive numbers and therefore, it can also include positive integers.
Hence, B and C are correct.
Answer:
Step-by-step explanation:
first add the one with 20 then divide by 3
Given that the human body is about 70% water, a person who weighs 130 pounds would carry about 91 pounds of water weight.
The question is asking us to calculate the amount of water by weight in a human body. We can solve this by using a percentage (or a decimal equivalent) and multiplying that by the person's total weight. Given that 7/10 (or 70%) of the human body is water and the person weighs 130 pounds, we simply multiply 130 by 0.7 (the decimal equivalent of 7/10).
To calculate: 130 pounds * 0.7 = 91 pounds. Therefore, about 91 pounds of a person who weighs 130 pounds is water.
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