Movie Genre   Superhero Comedy Drama Total 6th grade 13 17 9 39 7th Grade 16 20 13 49 8th Grade 14 18 12 44 Total 43 55 34 132   What percent of the 6th graders prefer comedies?

Q: Solvex² - 2x - 16 = 0 using completing the square. Show every step for full credit.

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Q: Identify the like terms in the polynomial. -3y - 3+ 4y5+ 7y + 8y7 O-3y¹ and 7y4 O-3y¹ and -3 no like…

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Q: Express 87.5 as a proper fraction reduced to its absolute lowest terms.

A: Given proper fraction is:87.5 We have to convert it into absolute lowest term.

Q: A picture is placed in the frame of uniform width as shown in the diagram. 2x (3x - 2) (x²-1) (x +…

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Q: 7.

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Q: 14. The formula for finding the perimeter, P, of a rectangle with length / and width w is given. P =…

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Q: Let g(x) = -x² + 6x +3. Find and simplify g(-3). g(-3)= (Simplify your answer.)

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Q: en the definition tr rices (no numbers). (d) = a + d show that tr(A B) = tr(BA) using gen

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Q: Let R (x) and C (x) be the cost and revenue functions of a company, where R and Care given in…

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Q: A particular medicine decays at a rate of 16% every 4 hours. If a person takes a 25 mg dose, answer…

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Q: The following equation models the spread of an infectious disease: P(t) = 32e-027t where P is the…

A: P(t)=32e0.027t where P in the number of people infected in thousands and t is the number of days…

Q: Suppose that the temperature at a point (x, y) on a metal plate is T(x, y) = 4x² - 4xy + y². An ant,…

A: We can solve the given problem by using the Lagrange multiplier method.

Q: Find the solution of the equation. 4 4

A: 4=x5+x4

Q: Find the slope of the line passing through the points (-6, −5) and (4, 4).

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Q: Find an equation for the hyperbola described. Vertices at (±4,0); foci at (±8,0) O A. O B. O C. O D.…

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Q: What is the APY for money invested at each rate? Give your answer as a percentage rounded to two…

A: For 6% compounded monthly: Let r be the nominal annual interest rate, and n be the number of…

Q: Graph the rational function h(x) = -2x+8 x-6x+8

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Q: Phil and Matt made cookies for a fundraiser at their high school. . Phil made 25% more cookies than…

A: given -phil made 25% more cookies than matt -they sold the cookies for 0.25 each -after the sale,…

Q: (b) Compute log₂ (2³5). (c) Rewrite ln(x + y) as an expression involving log10-

A: (b) To compute log2(235)(c) To rewrite the expression ln(x+y) involving log10

Q: Evaluate the expression when y=−6. 2 y² +6y+5

A: We have to evaluate the expression when y = -6. The expression is…

Q: 1. If the ordered pair (8, 12) belongs to a relationship in which y varies directly as x, which…

A: y varies directly as x                 &(8,12) satisfies the relationship

Q: An investor invested a total of $2,000 in two mutual funds. One fund earned a 7% profit while the…

A: given total invested of $2000 in two mutual fund. one fund earned 7% profit while the other earned…

Q: 1. Identify each triangle based on both A) sides and B) angles. 1. A) B) 2. A) B) Friangles 5. A) B)…

A: To identify each triangle based on sides and angles

Q: Determine graphically the x-value when y = 2 in the given equation. 1 y=-2x+1 Graph both equations y…

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Q: 1. Determine the value of h in each translation. Describe each phase shift (use a phrase like 3…

A: To determine the value of h in each translation. To describe each phase shift. (i) gx=fx+1 (ii)…

Q: Suppose that the functions p and g are defined as follows. p(x) = 2x+1 q (x) = -x² Find the…

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Q: Let A be a non-singular n × n matrix and let λ be an eigenvalue of A (a) Show that λ  ̸= 0. (b)…

A: If matrix A is non singular the A≠0 If λ is an eigen value of matrix A then AX=λX for some non zero…

Q: 43 The vertices of a rectangle are located at (1, 2), (5, 0), (2, -6), and (-2,-4). What is the area…

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Q: Following surgery, a patient has been receiving a pain relief medication intravenously. The…

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Q: Suppose that the functions u and w are defined as follows. u(x) = -4x-4 w(x) = 4x-1 Find the…

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Q: Given a normal distribution with a mean of 100 and standard deviation of 10, find the z-score for…

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Q: Use your protractor, compass and writing utensil to construct the following triangles according to…

A: 1) Obtuse Isosceles triangle (Angle120o and legs 2 inches long) (AS per guide line expert solve only…

Q: Solve the system of first-order linear differential equations. (Use C₁ and C₂ as constants.) Y₁' =…

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Q: Suppose that a trigonometric f(x) = 3 — 4 sin(2x + k) where k is a constant such that -90° ≤ k ≤…

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Q: If you want to have $85,000 in 10 years, what equal quarterly deposits should you put into an…

A: To calculate the equal quarterly deposits required to accumulate $85,000 in 10 years with an…

Q: a. NAME 3. Scientists measure a bacteria population and find that it is 10,000. Five days later,…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 17. The function f(x) = 3√x-4 is transformed to create the function g(x). - 10 -8 -6 -4 In terms of…

A: NOTE: Refresh your page if you can't see any equations. . the given function is and assume that…

Q: Mathematics 24. The ordered pairs (20,-29.5), (21,-31), and (22,-32.5) are points on the graph of a…

A: Equation of the line passing through the points x1,y1 and x2,y2 is given by…

Q: Q4: The solution of y(4) - 5y" + 4y = 0 is: (B) C₁e* + C₂e + c3e²x + ₁е-²x of 13 !!! (C) c₁e* +…

A: y(4)-5y"+4y=0

Q: rate is $92.00. If the total collected this last weekend was $18,530.50. How many of each type of…

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Q: Find the inverse of the function. - 3³√x-2 f(x) = √/x

A: First swap x with y and solve for y, this is the inverse function.

Q: A ball is thrown directly upward from an initial height of 200 feet with an initial velocity of 96…

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Q: Find the rank of the system of linear equations provided and ascertain whether a solution is…

A: Given system of equations  x2 + 2x3 + 3x4 = 2 3x1 - 4x3 - 4x4 = 5x1 + x2 + x3 + x4 = -32x1 - 3x2 +…

Q: Simplify. 8(2x³y-3x)-x+5 O 16x³y - 24x O 16x³y - 4x + 5 10x5y - 32x + 40 16x³y - 25x + 5

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Q: A quantity y is initially 42 and remains constant. Find an equation y = mx + b that models the…

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Q: Write the equation of the conic section shown below. -10-9-8 10 9 8 7 6 5 сл 4 3 10 a 6 y -6 -8 3 4…

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Q: Write an equation in slope-intercept form for the line with y-intercept 1 and slope -5. 0 0=0 X 8 08…

A: Slope intercept form of a line is as follows  y = mx + C Where m is the slope  C is the y intercept

Q: 10 18. 10 -8 -6 -4 -2 6 4 2 -2 -4 -6- -8- -10- 8 2 4 6 8 10 Write an equation for the graph. Put…

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Q: Use each circle to find the length of the indicated arc. Round your answer to the nearest tenth.

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Q: Identify if the following statement is true or false and explain why you say it's true or false:…

A: We have to justify the statements:         when a graph a quadratic line will it always cross the…