Find an explicit formula for the geometric sequence 96,24,6,1.5,...
2 answers:
Answer: 96 / 4 ^n-1
Step-by-step explanation:
This is a geometric sequence with a first term of 96. The common ratio is the division of the 2nd term by the first term. This will be:
24/96 = 1/4
a = 96
r = 1/4
The formula will be:
ar ^n-1
= 96 × (1/4)^n-1
The concluding part is explained in the attached file.
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Answer:
A. T = 20°C - (2.8°C/h × 4h)
Step-by-step explanation:
The rate of change of temperature (-2.8°C/h) is multiplied by time (4h) to get the change in temperature (-11.2°C). That change is added to the initial temperature (20°C) to find the temperature after 4 hours.
Only equation A properly expresses this calculation.
In choice B, the rate of change is (wrongly) shown as +2.8°C/h. In the other choices, the combinations of units are nonsense. (What is a °C·h?)
It costs $ 3.4 to fill the hot tub
<h3><u>Solution:</u></h3>Given that, You are putting a rectangular hot tub on your back porch
The rectangular hot tub is of shape cuboid
<em><u>The volume of cuboid is given as:</u></em>
It is 6 feet long, 5 feet wide, and 3 feet deep
Therefore,
length = 6 feet
width = 5 feet
height = 3 feet
<em><u>Thus volume of rectangular hot tub is:</u></em>
Thus volume of rectangular tub is
Convert feet to gallons
We know that,
1 cubic feet = 7.48052 gallon
Therefore,
90 cubic feet = 7.48052 x 90 = 673.247
Thus gallons of water tub can hold is 673.247 gallons
Given that it costs $ 5 per 1000 gallons
1000 gallons = $ 5
Therefore,
1 gallons = $
<em><u>Find for 673.247 gallons</u></em>
673.247 gallons =
Thus it costs $ 3.4 to fill the hot tub