Answer the question.Which of the following statements are true?I: If S = {(x, y): x - y = 0 and x ? 0} and if P is its profile, then conv P = S.II: If S = {(x, y): x - y = 0 and 0 ? x ? 5} and if P is its profile, then conv P = S.

A. Both I and II
B. II
C. I
D. Neither I or II


Answer: B

Mathematics

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Solve the triangle.a = 15, b = 15, c = 14

A. A = 63.2°, B = 63.2°, C = 53.6° B. A = 55.6°, B = 62.2°, C = 62.2° C. A = 62.2°, B = 55.6°, C = 62.2° D. A = 62.2°, B = 62.2°, C = 55.6°

Mathematics

Provide an appropriate response.Given f(x) = Ll , f(x) = Lr , and Ll ? Lr, which of the following statements is true?I. f(x) = LlII. f(x) = LrIII. f(x) does not exist.

A. I B. III C. II D. None

Mathematics

Write the binomial expansion of the expression.3

A. x3 + x2 + 16x + 64
B. x3 + x2 + 64
C. x3 + x2 + 16x + 64
D. x6 + x3 + 64

Mathematics

The percent of light that will pass through a material is given by the formula lgP = -kd, where P is the percent of light passing through the material (in fractions), k is a constant that depends on the material, and d is the thickness of the material in centimeters. The constant k for a piece of tinted glass is 0.4. How thick (in centimeters) is a piece of this glass that allows 50% of the light incident to the glass to pass through it? Round to the nearest hundredth of a centimeter.

a.  1.73 b.  0.75 c.  4.25 d.  9.78 e.  3.32

Mathematics