Answer:
63.17
Step-by-step explanation:
add all the numbers together which gives you 379
then 379 by how many numbers there are.
there are 6 numbers so divide 379 by 6 which equals 63.16666667
and if you round to the nearest hundredth it gives you 63.17
All you have to do here is replace f(x) with x + 2 and h(x) with 1/x-1.
It's like plugging in a number for x, but instead you are plugging in a whole function instead of just a number. Whenever you are pluging something in, whatever it is, make sure it is in parentheses: ( ) always!
Until your understanding of algebra becomes stronger.
2f(x)-hx
First lets plug in x + 2 for f(x). It's gonna look like this:
2(x + 2) - h(x)
Notice how I put x + 2 in parentheses next to the 2, you
a l w a y s want to do this. Now we just do the same for h(x):
2(x + 2) - (1/x - 1)
And that's it. That's all you have to do.
Answer to part A: 11w^2+7z^2
Answer to part B: 14w^2+9w
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Explanation:
For part A, the expression 4w^2+7w^2+7z^2 has one pair of like terms. That pair is 4w^2 and 7w^2 which combine to 11w^2. You add the coefficients to get 4+7 = 11, then tack w^2 onto everything to say 4w^2+7w^2 = 11w^2
We cannot combine 11w^2 and 7z^2 as they aren't like terms. So we leave it as 11w^2+7z^2
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In part B, the like terms are 15w and -9w. They combine to 15w-9w = 6w. You can think of it like 15-9 = 6 then stick a 'w' to each term. We cannot combine the w^2 term with the w terms.
We have to calculate the height of a cylinder : h2 = ( 45 - 2 · 15 )/ 2 = 15 / 2 = 7.5 mm
Volume of the bottom of the hourglass:V = 1/3 r² π h1 + r² π h2 = = 1/3 · 6² · 3.14 · 15 + 6² · 3.14 · 7.5 = = 1/3 · 36 · 3.14 · 15 + 36 · 3.14 · 7.5 = = 565.2 + 847.8 = 1,413 mm³The rate is 10 π mm³/ sec = 31.4 mm³/secTime = 1,413 : 31.4 = 45 sec.Answer: It will take 45 seconds.
