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Answer:
1) Option B is correct.
The inverse of the function, T⁻¹(x), represents the The height above the surface (in kilometers) when the temperature is x degrees Celsius.
2) T⁻¹(x) = 12.2 - 0.4x
3) T⁻¹(15) = 6.2 m
Step-by-step explanation:
1) The inverse of a function is a function that reverses the effects of the original function on the variable that determines the original function's value.
T(h) = 30.5 - 2.5h
The original function takes the height in kilometres and converts it to temperature at that point in degree Celsius, So, the inverse function will take the temperature in degree Celsius and produce the corresponding height in kilometres.
So, it is the The height above the surface (in kilometers) when the temperature is x degrees Celsius.
The inverse functuon is given as T⁻¹ (x)
2) To obtain T⁻¹(x)
T(h) = 30.5 - 2.5h
We make h the subject of formula
2.5h = 30.5 - T
h = (30.5 - T)/2.5
h = 12.2 - 0.4T
T⁻¹(x) = 12.2 - 0.4x
3) T⁻¹(x) = 12.2 - 0.4x
when x = 15°C
T⁻¹(15) = 12.2 - 0.4(15) = 6.2 m
Answer:
Step-by-step explanation:
a. Yes, the following statement is true. The police officer is gathering data by writing down all the speeding tickets and seperating them into two categories, red and non-red cars. He can later analyze this data and compare them to determine whether or not his hypothesis is true.
b. The color of the car is the only variable that would not be a confounding variable in this scenario. This would instead be the independent variable and does not in any way affect the dependent variable which would be the number of speeding tickets received.
The number of new ants appearing in Mark's bedroom each day can be found to be 12 ants per day
<h3>How to find the number of ants?</h3>
To find the number of new ants coming into Mark's room every day, you should divide the difference between the number of ants on consecutive days by the difference between the days since Mark moved in.
The difference between the number of ants from day 3 to 5 is:
= 90 - 66
= 24 ants
The difference in the number of days:
= 5 - 3
= 2 days
The number of new ants is therefore:
= 24 / 2
= 12 ants
Find out more on ants at brainly.com/question/13180306
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Answer:
<h2>1</h2>
Step-by-step explanation:
15 + 20 / 35
35/35 = 1 (certain)
The probability of choosing a female or senior is 1, because these are the only two groups represented in the class.
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