Answer:
so the answer is 3/2x
Step-by-step explanation:
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taking LCM
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i hope it will help you
Answer: £535
Step-by-step explanation:
Herr is the complete question:
Tim and three friends go on holiday together for a week.
The 4 friends will share the costs of the holiday equally,
Here are the costs of the holiday.
£1280 for 4 return plane tickets
£640 for the villa
£220 for hire of a car for the week
Work out how much Tim has to pay for his share of the costs.
Firstly, we have to calculate the total cost of the holiday. This will be:
= £1280 + £640 + £220
= £2140
We are also told that they will share the costs equally. Since there are 4 people, Tim will have to pay:
= £2140 ÷ 4
= £535
Tim will pay £535
we are given

where
F is the number of board feet
d is the diameter (in inches) of the log
Since, we have to minimize F
so, firstly we will find it's derivative


now, we can set it to 0
and then we can solve for d


so, we get diameter as
..............Answer
What we know:
12 hour period from 8pm to 8am
temperature dropped from 8°F to 16°F from 8pm to 8am
We need to find temperature at 4 am.
We can start by setting up points:
8pm is are starting point with 8°F, we can express it as (0,8), 0 represents initial time from 0 to 12 hour span.
8am is the ending point with 16°F, we can express it as (12,16), 12 represents the end time of 0 to 12 hours span.
We will use these points to find slope.
slope=m=(16-8)/(12-0)=8/12=2/3
Now, we can set up an expression to find any temperature at a specific time. Aslo, x represents the hours not the the specific time of 4am. We will use 8 since 4am is the 8th hour of the 12 hour span. Using slope of 2/3 and the y intercept of (0,8) since we were already at 8°F at the initial time of 0 we have the function:
f(x)=2/3x+8
f(8)=2/3(8)+8= 40/3≈13.3°