The expression equivalent to given expression is 
<em><u>Solution:</u></em>
Given expression is:

We are asked to find the expression equivalent to given expression
Assume that denominator does not equal to zero
We can apply the exponent rule in given expression

Apply the above rule in given expression


Thus the equivalent expression is found
A)We have been given →
Hieght of trough = 5m
length of trough = 6m
Breadth of trough = 4m
so , As the top is opened for feeding animals.
Area of base = length× Breadth
= (6×4) m²
= 24 m²
Area of Front and back face = Hieght × length
= (5×6) m²
= 30m²
Area of side faces = hieght × Breadth
= (5×4) m²
= 20 m²
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B)Total Surface area of trough will be given by formula - 2(lb+bh+hl)
= 2{(6×4)+(4×5)+(5×6)}
= 2{24+20+30}
= 2×74
= 148 m²
As we have been told top is open , so we will deduct top from Total surface Area to obtain Surface area →
(148-24) m²
(Area of top will be same as base area , that is 24m² as we have solved in A)
= 124m²
Answer→ Surface area of trough is 124m²
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Arc length = c* r where c = angle in radians and r = radius
= 0.25 * 4
= 1 inch
Hello,
The answer is 2.9.
Reason:
Solve this two ways:
1. You could be just regularly solving the question but subtracting 6.1 to 3.2.
6.1-3.2=2.9
2. Or you could be solving variable.
Subtract 3.2 on both sides:
6.1-3.2=2.9
r=2.9
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
First: f(2) is same as f(x=2) so all we have to do is to express x=2 in f(x)
f(2) = 3*2 + 2 = 8
Second
f^(-1) (3) is inverse function. first we solve f(x) for x.
let f(x) be equal to some variable m
m = (2x -7)/3
3m = 2x - 7
2x = 3m + 7
x = (3m + 7)/3
now we write:
f^-1(x) = (3x + 7)/3
x=3
f^-1(3) = 16/3
Third
2y + 14 = 4y - 2
we just solve for y
2y = 16
y = 8
Now we take that f(x) = y because we both write to be the functions of x
that means that First and third have same result.