An analysis of first-year students at a college revealed that 1/4 of the first-year women were from homes where both parents were professionals. Of these, 3/5 were interested in the same profession as one or both of their parents. If this latter group is made up of 21 students, how many first-year women are there?

Q: 5. Find the exact value of x and y 45° Y 30° X 16

A: Please see the below picture for detailed solution.

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A:

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A:

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Q: 11) Vertices: (-1, 6), (-13, 6) Co-vertices: (-7, 11), (-7, 1)

A: the vertex (−1,6),(−13,6), the co-vertex (−7,11), (−7,1).

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A: As per gudiline, we can solve only 3 subparts if multiple subparts are posted. Please repost the…

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A: We can solve it as below

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A: Since you are asking multiparts. We are answeing only the first three subparts as per our…

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A: To find the exact value of sinsin-112.

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A:

Q: 30° t у 60° 12

A: To find the missing sides length in the following right triangle.

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A:

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A:

Q: 2. Evaluate each of the following: 4 (³7) (117) 6 (a) tan (b) csc (c) sec (d) cot (47) 3 (137) 4

A:

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A: In this problem using the expressions for angular velocity, we get:

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A: NOTE: Refresh your page if you can't see any equations. . it is given that, and the angle is in the…

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A: Consider the triangle

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A: Solution: tan(cos^-1 -x/3) Use the following identity: tan(cos-1(x))=1-x2x

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A:

Q: 2. Find the derivative. y = sin x² a.

A: Given query is to find the derivative.

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A: As per rule I need to solve only first question.

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A: Find the amplitude, period, and horizontal shift for the function  f(x)=1+2cos(x)

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A:

Q: Find the measure of each angle to the nearest degree. [3] [4] [5] [7] [6] [8

A:

Q: The expression (cos 45°) (cos 30°) - (sin 45°) (sin 30°) can be rewritten as which of the following?

A:

Q: 11. Provide a trigonometric equation. Considering only the space between x = 0 and 2π, the equation…

A:

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A: We can solve the given problem by using the concept of derivative.

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A: sec(x)=3.1 x is in fourth quadrant

Q: 3. Find the value of x [a] [c] 56° (3x + 7)° 47° (2x +13) [b] (3x + 6) [d] 48° -- (5x + 2)° 3x

A:

Q: What are the amplitude and period of the function f(x) = 5 sin(8x)? Provide your answer below: The…

A:

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A: Derivative of the given function =ddxtan-1ln4x

Q: 3. Suppose sina = for a quadrant II angle, a, and sinß = for a quadrant I angle, ß. 2 x a. Sketch a…

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A: To solve the following problem

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A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

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A:

Q: Find the exact value of the trigonometric expression given that sin(u) cos(u - v) y =- u It is given…

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Q: Find sin 8. tan 0 = √2 w|n 3 cos 8>0

A: given  tanθ=-23,  cosθ&gt;0tanθ&lt;0  and  cosθ&gt;0, there for θ is in 4th quadrant

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A: we know sin(a-b)=sin(a)cos(b)-cos(a)sin(b)

Q: Plot the polar point (5, 225°). Drag the point from the origin to the proper coordinates.

A: Plot the polar point (5, 225°).