Answer:
A.The modes differ by 40 and the ranges differ by 40.
Step-by-step explanation:
The mode of a data set is the value that occurs most often.
For the data from last summer, the value 190 is in the list twice, while all other values are only in once. This means 190 is the mode.
For the data from this summer, the value 150 is in the list twice, while all other values are only in once. This means 150 is the mode. This also means the difference in modes is 190-150 = 40.
The range is the difference between the maximum and minimum values in a data set. For last summer's data, the maximum is 220 and the minimum is 140; this gives us 220-140 = 80 for the range.
For this summer's data, the maximum is 190 and the minimum is 150; this gives us 190-150 = 40 for the range. This means the difference in ranges is 80-40 = 40.
Given:
a square with an area of a² is enlarged to a square with an area of 25a².
The side length of the smaller square was changed when The side length was multiplied by 5.
Area = (1a)² = a²
Area = 1a * 5 = 5a ⇒ (5a)² = 25a²
H(t) = f(t) - g(t)
= 500(1.2)^t - 380(1.15)^t
Taking out the greatest common factor, which is 20:
= 20[(25)(1.2)^t - (19)(1.15)^t]
This is the third choice.
Note that you cannot subtract the bases of the exponents, for example (1.2^t - 1.15^t) cannot be simplified into something like 0.05^t.
Answer: It will take 8 hours to reach this temperature.
Step-by-step explanation:
Given: At a desert resort, the temperature at 7 a.m. was 3°C.
The temperature increased by an average of 3.4°C each hour until it reached 30.2°C.
Let x be the number of hours taken to reach 30.2°C..
As per given ,
Initial temperature +(average increase in temperature) (Number of hours) = 30.2
⇒3+3.4x=30.2
⇒3.4x=30.2-3
⇒3.4x=27.2
⇒ x=8 [Divide both sides by 3.4]
Hence, it will take 8 hours to reach this temperature.
Answer:
There were 4 ducks living in Anoop's pond when he first built it.
Step-by-step explanation:
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