A farmer fills a rectangular water trough to a depth of 1 foot.
2 answers:
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Answer:
1. ft 2.
yards 3.
units.
Step-by-step explanation:
Pythagorean's Theorem
A and b are both side lengths, c is the hypotenuse.
7^2 + 5^2 = 74
sqrt(74) is the answer for 1.
30^2 - 5^2 = 875
Simplify the radical. sqrt(875) --> 5sqrt(35). The answer for three.
There's a rule in geometry that says a diagonal of a square is the same length as taking a side length times the square root of two. There's your answer for two.
Answer:
The result is 1/8
Step-by-step explanation:
What you do is simplify the fractions, like I did in the picture:
sorry, I couldn't crop it in any other way.
I hope it helped!
Answer: Choice B. k(h(g(f(x))))
For choice B, the functions are k, h, g, f going from left to right.
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Explanation:
We have 4x involved, so we'll need f(x)
This 4x term is inside a cubic, so we'll need g(x) as well.
So far we have
g(x) = x^3
g( f(x) ) = ( f(x) )^3
g( f(x) ) = ( 4x )^3
Then note how we are dividing that result by 2. That's the same as applying the h(x) function
And finally, we subtract 1 from this, but that's the same as using k(x)
This leads to the answer choice B.
To be honest, this notation is a mess considering how many function compositions are going on. It's very easy to get lost. I recommend carefully stepping through the problem and building it up in the way I've done above, or in a similar fashion. The idea is to start from the inside and work your way out. Keep in mind that PEMDAS plays a role.