A study was done to investigate the population of polar bears over time. The correlating linear model is shown below, where x represents the number of years after 1955, and y represents the number of polar bears. Interpret the y-intercept.y = 5,000 + 500x
A. There were 10,000 polar bears in 1955.
B. There were 1,000 polar bears in 1955.
C. There were 5,000 polar bears in 1955.
D. There were 500 polar bears in 1955.
Answers
Final answer:
The y-intercept represents the number of polar bears in 1955 and its value is 5,000.
Explanation:
The y-intercept of the given linear model, y = 5,000 + 500x, represents the starting value of y when x is 0. Since x represents the number of years after 1955, when x is 0, it corresponds to the year 1955. Therefore, the y-intercept represents the number of polar bears in 1955. In the given model, the y-intercept is 5,000. So, the correct interpretation is that there were 5,000 polar bears in 1955.
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23 and 32 are the pairs of numbers that differ by 495 when they are squared.
What is the use of squares in mathematics?
Considering that Square is a much faster way to write a number and multiply a number by itself.
Given, this problem needs to solve by the hit and trial method that means we have to solve for every option.
For option numbers A: 17 and 19
19² - 17² = 72
For option numbers B:21 and 30
30² - 21² = 459
For option numbers C:27 and 18
27² - 18² = 405
For option numbers D:23 and 32
32² - 23² = 495
Therefore, When two integers are squared, they differ by 495 in the pairings 23 and 32.
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t represents time
Step-by-step explanation:
h(t) represents the height of the rocket after t seconds where t is time
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i think so
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B.
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C.
Dante spends 12 minutes on his math homework and 3 minutes to complete each problem. How long does it take him to finish 48 problems?
D.
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