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a hat cost $32 was marked down 35%. what is the sale price

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A: x-> -4^- means slightly less than -4.

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A: Given algebraic expression is,x4/10-x1/10

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A: The given expression is

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A: Given exponential equation is,

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A: (a)We are given a function as

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A: Here, we use the above rules of exponents

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A: Since the number should be multiple of 6 and factor of 180 so the prime factorization of 180 is,

Q: Write the quotient in standard form: f (x) = 5+i / 5−i

A: we are given a complex value as

Q: Find an equation of the circle that has center , 2−5 and passes through , 6−1 .

A: Given information:The center of the circle is (-2,5).The point passing through the circle is (-6,1).

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A: Consider the given function:

Q: Solve for x: 3^x+1 = 27

A: The given equation is,

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A: The given polynomial is x3+4x2-3x+8.

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A: The given function is f(x) =x–2x+8.

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A: Given that, the endpoints of the diameter of a circle is at (1,2) and (–1,–6).

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A: Known fact:The standard equation of the circle is (x - h)2 + (y -k)2 = r2

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A: Since -3 is less than 0, so we have to use the first part of the function where f(x)= 2x+5 if x<0...

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A: We are given a function as

Q: Question 14

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A: The square root of 291 is,

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A: Given that

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