Step-by-step explanation:
2x - 10y > -20
=> x - 5y > -10
or x - 5y +10 > 0
Which seven?
070,000,000 would be in the 10 millions
700,000,000 would be in the 100 millions
The common denominators of ¹/₄ and ⁷/₁₀ are; 20 and 40
<h3>How to find the denominator?</h3>
The numerator of a fraction is the top value while the denominator of a fraction is the value at the bottom.
Now, we want to find the common denominator of ¹/₄ and ⁷/₁₀.
The common denominator can't be less than 4 or 10 and so has to be at least two terms that are divisible by 4 and 10. The next two common denominators that are greater than 10 but divisible by both 4 and 10 are 20.
Read more about denominators at; brainly.com/question/12182689
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Step-by-step explanation:
We are picking 6 numbers from the numbers 1,2,3,4,5,6,7,8,9,10. Since we care about numbers being next to each other, we might think of the 10 numbers as being distributed in 5 boxes (which you can think of as the holes):
| 1 2 | 3 4 | 5 6 | 7 8 | 9 10 |
So on the first box we have the numbers 1 and 2, on the second box we have the numbers 3 and 4, and so on. Since we are picking 6 numbers from those 10 numbers, that means we'll have to pick 6 boxes (and inside each box we pick a number), but we only have 5 available boxes, so by the pigeonhole principle, we'll have to pick 1 same box at least two times. Since on each picked box we'll need to pick a number, on this box which was picked two times, we will have to pick both of its numbers. And so those 2 numbers inside that box will be next to each other (meaning they're consecutive numbers).
This has a lot of scary words and numbers in it, but it's all just fluff.
That big ugly formula is nothing but numbers, except for the 'h' in it
near the end. When you write your altitude in place of 'h' and push
all the numbers through your calculator, the answer is the air pressure
at that altitude.
All it's asking you to do is this:
-- Write ' 100 ' into the big formula.
-- Run all the numbers through the calculator and get the pressure at 100 meters.
-- Then write ' 1000 ' into the formula.
-- Run the whole thing through the calculator again, and see what
the pressure is at 1,000 meters.
-- Subtract, and see how much the pressure changed between 100 meters
and 1,000 meters.
You want to know what I think the whole idea is here ? I think the whole idea
is to get you to decide which things to do first as you calculate the formula,
AND to give you practice in using your calculator to do weird stuff.
In the formula, I see a power, a set of parentheses, two multiplications, and
one subtraction. You have to decide what order to do them in. And THEN,
you have to figure out how to do them all with your calculator.
Here's the order:
-- Inside the parentheses, multiply 2.25577x 10⁻⁵ by 'h' .
-- Inside the parentheses, subtract the result from ' 1 '.
-- Take the number inside the parentheses, and raise it to the 5.25588 power.
-- Then multiply the result by 101,325 .
For 100 meters altitude, the pressure you should get is 100,129 pascals.
Make sure you can get that with your calculator when you put '100' in place
of 'h'. And then, when THAT works, do it with 1,000 in place of 'h'.
The number you get for 1,000 meters should be about 10,254 pascals less.
