Find the area of an ice rink in which the length is 42 ft more than six times the width and the perimeter is 306 ft. Give an exact solution.

Q: For an invertible matrix A, prove that A and A have the same eigenvectors. How are the eigenvalues…

A: A is an invertible matrix, A and A-1 have same eigenvectors.

Q: Immediately following an injection, the concentration of a drug in the bloodstream is 500 milligrams…

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Q: A local bus finishes its 77-km route in the same amount of time that an express bus finishes its…

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Q: 18. Suppose that a C de f Find each of the following determinants. a Ь (a) d 3g 3h 3i О Ь (b) | d+3g…

A: Given  abcdefghi=7 a              abcdef3g3h3i=3abcdefghi                              =3×7…

Q: Evaluate the following expression using your calculator. Round the values to the nearest…

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Q: [7/2-1/2 07 21. Let A = -1/2 7/2 0 Which of the following vectors are eigenvectors of A? Q 0 (a)…

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Q: Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has…

A: Given query is to find the present value of the home.

Q: -9 -8 -7 -6 -5 -4 -3 -2 -1 8- 7- 6- 5. 4- 3- 2 1- -1-4 -2- -3- -4- -5. -6 -7- -8- -9- 4 5 6 7 8 Q

A: Follow next step

Q: Which of the following is an eigenvector of the matrix below for the eigenvalue 1? 1 0.5 2 Y 010 0.5…

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Q: Graphs and Inverse Functions 121. ›Interpreting an Inverse The graph of f computes the balance in a…

A: We need to interpret the function.

Q: 口 13. Choose the correct answer. A leaf fell from a tree. The path of the leaf can be modeled by the…

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Q: Find the average rate of change of the function g(x)=√6+x from x= a to x=a+h. Simplify your answer…

A: Given queryis to find the average rate of change.

Q: Find the inverse of the function. f(x) = logo.9 X f-¹(x) = Your

A: To find the inverse of the following function.fx=log0.9 x

Q: Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D…

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Q: 2+3

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Q: Find f(x) and g(x) such that h(x) = (f. g)(x). h(x) = - = 2² -6 1 O f(x) = ₁ g(x) = x² - 6 f(x) =…

A: Given query is to find the composite function.

Q: Express 28% in fraction and simplify

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Q: 14. The vector x is in a subspace H with a basis B = {b₁,b₂}. Find the B-coordinate vector of x. (a)…

A: We can solve this as follows:

Q: For the given matrix A, find a basis for the corresponding eigenspace for the given eigenvalue. 2 0…

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Q: The graph of y= H (x) is given. (a) Write the domain of H. (b) Write the range of H. -5 Part 1 of 2…

A: topic - domain and range of function domain : input values of function range : output values of…

Q: logistic growth function P(x)=90/ 1+271 e^−0.122x  models the​ percentage, P(x), of Americans who…

A: Given the query is to find the percentage of 68 year old who has heart disease.

Q: 10. DETAILS HARMATHAP12 0.5.073. MY NOTES ASK YOUR TEACHER Suppose that you have $3000 to invest,…

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Q: Graph the solution of the system of inequalities -8 x+2y ≥ 4 3x-2y4 -6 x ≥ −2 y 4 -4 * -2 81 6 2 -2…

A: The solution of the system of inequalities  is the intersection region of the solution of the all…

Q: 14. The property tax on a $31,000 car is $1767. At this rate, what is the property tax on a car…

A: topic - rate and percentage

Q: Let f(x) = x²+x+ 2 = Z₂ (x) prove that f(x) irreduciable Poly

A: The given function is  f(x)=x2+x+2.

Q: Find the domain and range of the function graphed below. y 4.5 453525 3.5 3 2.5 1.5 1 0.5 -0.5 1 50…

A: Given problem:-

Q: A parabolic arch forms a structure that allows equal vertical loading along its length. 160 ft 100…

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Q: What is the slope of 4x+12y = 5

A: Converting the equation of line to slope intercept form

Q: For the quadratic function f(x)=x²+2x-3, answer parts (a) through (c). (a) Graph the quadratic…

A: Parabola : A parabola is a curve equation with a point on the curve that is equidistant from both a…

Q: O GRAPHS AND FUNCTIONS Finding a difference quotient for a linear or... f(x+h)-f(x) Find the…

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Q: Solve the following simultaneous equations to find x and y y + 3x = 4 x - 2y = 13 x = y =

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Q: Find the inverse laplace of s+5 s²+5s-14 01/e²t - e-7t 2t Oet-e-t 7 0e²+ e-t O Oe-t-et 27t 0 ²/1 e ²…

A: To evaluate the inverse Laplace transform.

Q: Use the appropriate property of determinants to find a. Do not evaluate the determinants. -13 23 -9…

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Q: For the geometric sequence 9375, 3750, 1500, 600, ... The ratio is r = The 6th term of the sequence…

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Q: Write the first six terms of the arithmetic sequence. 5 1 a₁ 2 (Type an integer or simplified…

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Q: x+a__1 x-b 4

A: We can solve the given problem by cross multiplying the terms.

Q: Describe the domain of the graph below* y-axis x-axis -6-5-4-3 1 2 3 4 5 V 5 4 3 1 -2 -1 -2 " " 45…

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Q: then a 2 d det b 2 e с 2 f 5 d a det b 7 e C 9 f C = = and a 1 d a 1 d] ----- det b 1 e = -5, and…

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Q: Please solve this all 4 questions

A: We have to find the value where the inequalities satisfy

Q: If all the graphs are 1:1 scale, select the correct one for the following set of constraints (the…

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Q: Writing logu- log av+2 logaw as a single logarithm results in which of the following expressions?…

A: We can simplify the logarithmic expression as below.

Q: 6. In the graph below, what are all values of 2 for which y = 0? T el N N ● - 3, - 1, 0, and 2 O-3,…

A: from the given information in graph we find x intercept or value of x when y is equal to 0

Q: Multiply. (4√10+2)(√6-3) Simplify your answer as much as possible.

A: We can multiply and simplify the answer as below.

Q: 4. Convert. 12.85 1 = ml

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Q: How many real roots does the quadratic equation 3x² + 2x - 9 = 0 have?

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Q: a) Write an equation for the nth term of the arithmetic sequence whose seventh term is 21 and has a…

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Q: Choose the correct answers given the following table representing a quadratic function. Complete…

A: I am attaching image so that you understand each and every step.

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.0001211…

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Q: What is the family of the equation y=2* linear? quadratic? or exponential? HY

A: Solve the following

Q: David worked 38 hours last week. If the hourly rate is $13, find the gross pay?

A: