13. Choose the best answer. The principle means if a single event has m choices and a second event has n choices, the total number of possible outcomes for the compound event is m x noutcomes. O multiplying complicated compound complex counting

Q: The Polygon Congruence Postulate states that each pair of corresponding sides is proportional in two…

A: Use the statement of the polygon congruence postulate statement.

Q: yellow

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Q: Solve for q. 49q? - 7 = 0 Write your answer in simplified, rationalized form. 9 = or q = %3D D10

A: Given: 49q2-7=0   ...(1)   As we know from the square root property; If q2=c then q=+c or q=-c

Q: The doubling period of a certain bacteria is 6 hours. There is a 500 g sample of the bacteria. a)…

A: Given problem:- The doubling period of a certain bacteria is 6 hours. There is a 500 g sample of the…

Q: Problem 2: Shade a Venn diagram to represent the sets A, B, and C, such that: (i) C - (A°n B) (ii)…

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Q: Use rational exponents to simplify the following. 21/15 49 ,15 5/7 3/7 O A. 5/7 7/3 OB. 1B. OC. y z…

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Q: The fox population in a certain region has a continuous growth rate of 5 percent per year. It is…

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Q: 49 Find the indicated value: E (3i – 3) i-5

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Q: Let {ej, ē2, ē3, ē4, ē5, ē6} be the standard basis in R°. Find the length of the vector a = 5e1 +…

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Q: A rectangular paperboard measuring 23 in long and 17 in wide has a semicircle cut out of it, as…

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Q: Solve the following equation for x, 2* = 8 Оа. 4 O b. 2 О с. 3 O d. None

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Q: cos t ||

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Q: A D 6. Calculate the standard deviation of the set of data to two decimal places. Refer to the…

A: The objective is to find the standard deviation of given set of data.

Q: At the park there is a pool shaped like a circle. A ring-shaped path goes around the pool. Its inner…

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 6,…

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Q: For a construction project, Don is making triangular supports out of pieces of wood. Which of the…

A: condition for triangle formed : if two side summation is greater than third side then triangle…

Q: A flower garden is shaped like a circle. Its radius is 20 yd. A ring-shaped path goes around the…

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Q: 1 3 0 2 1 1 Solve for det(M³) where M = 4 1 1

A: This question is based on multiplication of matrix.

Q: A flower garden is shaped like a circle. Its radius is 16 yd. A ring-shaped path goes around the…

A: We have to find number of bags.

Q: Solve by completing the square. 4a 2 + 20a - 12 = 0

A: Given that,                         4a2+20a-12=0 we need to solve the above-given equation using the…

Q: 3)-4x+y=3 5x-2y=-9   4) 8x-7y=-2 -2-3y=10 5)2x+7y=2 4x+2y=-2   6)2x-y=7 2x+7y=31

A: 3) The given pair of linear equation is -4x+y=3 ........... (1) 5x-2y=-9 ........... (2)…

Q: Let f : R? → R be defined by f((z, y) = 6z – 4y Isfa linear transformation? a. f(11, 1) + (12, Y2))…

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Q: O QUADRATIC EQUATIONS AND FUNCTIONS Solving a word problem using a quadratic equation with irration.…

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Q: Give a proof by contradiction to show if C and D are sets, then C ∩ (D ∩ C’) = {}.

A: Solving

Q: Write the polynomial in general (or standard) form. Then identify the degree, the name using the…

A: 1.5x2+6x3-5x2.5x3+4x-8-x2+13x-83.multiply 3x-3 and x-2 Note:    Multiple subpart are given, we are…

Q: 8 k -4 -7 -9 O -3 8 7 -1 Let A = 0 0 k -9 7 0 0 0 2 -8 0 0 0 0 8 choose When is det(A) > 0? choose…

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Q: Find a function f that satisfies the initial conditions. f"(x) = x2, f'(0) = 3, f(0) = 2 %3D f(x) =…

A: The objective of the question is evaluate the function.

Q: Find the intersection point of the line l.x=-1. y = - 3 + t z = 4 + 2t with xx - 1 .

A: In xz plane value of y = 0.

Q: 4. Choose the best answer. If logs 52 = O1 O 2 O 5

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Q: 1. Write the (x, y) coordinates for P in terms of cosine and sine. 2. If cos(0) = 0.6 , what are the…

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Q: Write the equation of the hyperbola that has a center at (– 5, 3), a focus at (1, 3), and a vertex…

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Q: 2. Complete the table. log; a 25 1 25 a. b. 5 C. -1 d. 0 e. 10 f. 2 g. -2 5

A: logbx = y is equivalent to  by = x .

Q: REEMA Esp Write a system of linear equations for the graph below. 7. 5. - 2. -9 -8 -6 -5 -4 -3 -2 1…

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Q: Find the determinant of the given system of equations using any appropriate method. a + 3b - 2c = 6…

A: Find determinant.

Q: Are the following vectors linearly independent? ,, Do the following apply to give an answer? ?…

A: the given vectors,  4,0,0,, 5,-1,0,1,5,5

Q: A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle…

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Q: The minute hand on a clock is 9 centimeters long. In 10 minutes, how far does the tip of the hand…

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Q: %3D 6. Label the graphs with the correct function names f(x) = log, a,g(x) = logs a, or h(z) = log12…

A: Given graph of three functions f(x)=log4(x), g(x)= log6(x), h(x)= log12(x)

Q: A training fleld is formed by joining a rectangle and two semicircles, as shown below. The rectangle…

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Q: You are drawing an angle in standard position and you swing the terminal side until an angle of 281…

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Q: and g(x) = X-7 - 9 find the following composite functions and state the domain of each. For f(x) =…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: a. f((x1, yı) + (x2, Y2)) = (Enter x1 as x1, etc.) f((x1, yı )) + f((x2, Y2)) = + %3D Does f({x1,…

A: Given f(x,y)=9x+3y

Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

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Q: 4. Choose the best answer. Two events K and L areif P(K) = P(K | L). %3D certain O impossible O…

A: option (c) is correct. see below the explanation

Q: If three vertices of a rectangle are located at (1,4),(1,2),(5,2) what are the coordinates of the…

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Q: Solve for X.  37-x^2 = x^2

A: In this question , we can solve the value of 'x'.

Q: 3 k -8 -9 -4 0 -3 7 -8 -1 Let A 0 0 k 4 -4 0 0 0 5 -5 0 0 0 0 8 choose When is det(A) > 0?

A: To find when the determinant has positive value.

Q: Given the system ax+y=5 -2x-4y 2 1 the system has unique solution by Cramer's rule. When a = -…

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Q: x2 +3 x <-4 -4 < x < -1 -1 < x < 2 4 < x <7 3x - 5 3. Find the following where M(x) = 7 5x +1 2x + 8…

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Q: Find the indicated sum: (-3)-1 O 1/4 -1660 -1424 -1640

A: