In each of the following examples variables x and y are related by v=Cr. You are given the equation of a straight line of In (y) as a function of In (x). Find the values of the constants Cand n. b Iny-2.1 Inx-4.7

Q: Find the length of side a in the right triangle, if b = 8 and c= 10. (The triangle is not drawn to…

A: topic- Pythagoras theorem

Q: Extra Credit g(x) = 2x²2 - x + 3: Find the difference quotient and simplify for g(x+h)- g(x) h

A: Given, g(x)=2x2-x+3

Q: 1. Evaluate the following limits: 2. lim G(x) if G(x) = = x→-00 |x+61 x+6

A: We need to evaluate limit.

Q: Z 1 Simplify 22²-232 +3 3z 2+2 Z#-1, 6(2²-1) + ²2-1.1 2-2 Z-1, 1 6(2²-1) 1 6(2+1), 2-1, 1 1 6(z-1),…

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Q: The volume V of a sphere can be expressed in terms of its radius r according to the function V(r) =…

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Q: Q-5: Let A = a) b) -1 0- 0-1 1 3 -1 0 Show that A has eigenvalues λ = 0,-1,-2. Find an eigenvector…

A: We have to show the eigen values and eigen vector.

Q: What is the amplitude, period, phase shift and y-intercept (exact and approximate) of f(x)? Sketch…

A: Using graph

Q: For the function, determine whether it is one-to-one. If it is one-to-one, find a formula for the…

A: We have to solve above question and find functions one to one

Q: The trace of a square matrix A, denoted tr(A), is the sum of the elements on the main diagonal of A.…

A: This question can be solved using the concept of operations of matrices.

Q: 34 ACTIVITY 1. Construct the truth table: (p^ q) → (~pv q) and determine whether it is a tautology,…

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Q: ou want to have $700,000 when you retire in 15 years. If you can earn 7% interest compounded…

A: compound interest formula:A=P1+rnntwhere;A=amount at a time;P=Principal amountr=interest…

Q: The formula A=p(1+r), where p-principal (amount you started with) and r= interest rate as a decimal,…

A:

Q: A football team gained 7 yards and lost 15 yards in 4 plays.  The expression (7−15)÷4(7−15)÷4 gives…

A: Note: Since the student has made a typing error by writing the expression "7−15)÷4" twice. So we are…

Q: Use the following functions for this question: f(x) = 2x + 3 g(x) = 3x - 4 Find (f - g)(x).

A: We will find the composite function.

Q: #4: 98x - 10 = 43

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Q: II. 5. Determine the number/s at which the function F(x)=√√4x² is continuous.

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Q: Steven's family is hosting an end-of-summer burger bash. His parents buy a family-size package of…

A: Steven's family is hosting an end-of-summer burger bash. His parents buy a family-size package of…

Q: Find the inverse of g (2) of g (x) = { x + ²

A: The given function is: g(x)=12x+32

Q: A floor that is 8 feet by 12 feet is covered by tiles that are 6 inches. How many fewer tiles are…

A: We have to find out the no. Of the tiles

Q: ponential Functions with Radical Bases gnment Active Rewriting Functions to Determine Rational Bases…

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Q: A bus company was offering a special deal on a bus trip to Atlantic City. Regular tickets cost $54…

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Q: 1+x² Find the area of the region bounded by the curve y=- and the lines y = 0, y = x,x=2. 2x2

A: Follow the procedure given below.

Q: Determine which of the conic sections is represented by 4x² + 14xy + 5y² + 18x − 6y +30 = 0

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Q: -5x²-2x+8 f(x) = -x ³. y Domain: (-0909) x-int:y-int: (48) Range:(-60,00) Turning Point(s):…

A: We need to solve for given function.

Q: If A= 3 -2 2 -3 2 -41 5 0 1 5 6 4 give the following elements

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Q: log₂ (x + 5) - log₂ (x - 2) = 3

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Q: Use the following functions for this question: f(x) = 2x + 3 g(x) = 3x - 4 Find (f + g)(x).

A: We can find the composite function as below.

Q: Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and…

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Q: Find the characteristic equations of the following matrices: 401] -210 -201

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Q: 1. A tank initially contains 200 gallons of water. A 2lb of salt per gallon of brine solution, flows…

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Q: The doubling period of a bateria population is 10 minutes. At time t=80 minutes, the baterial…

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Q: EXERCISE 3 (UNARY MATRIX OPERATIONS) Based on the

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Q: Find an ordered pair (x, y) that is a solution to the equation. 3x-y=8 (x, y) = (₂0) ? 010 X 5

A: Given query is to find the solution pair.

Q: distinguish whether a data set represents a polynomial, rational, or radical function. You will also…

A: we have to find the following function is polynomial, rational or radical.

Q: Find all zeroes of the polynomial (real and complex) f(x) = 5x¹ + x³ + 11x² + 3x − 12

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Q: The function h=-16t^2+256th=−16t2+256t represents the height h (in feet) of a rocket t seconds after…

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

Q: How much money should be deposited today in an account that earns 3.5% compounded monthly so that it…

A: Let the amount to be deposited be P

Q: The doubling period of a bateria population is 1010 minutes. At time t=90 minutes, the baterial…

A:

Q: dy find an approximate value of y corresponding to x = 1.4 given = xyz and x-1 & y-1 with 4 decimal…

A: Given :dydx=xy12x=1 and y=1 then y(1)=1

Q: You deposit $3900 in an account earning 6% interest compounded semiannually. How long will it take…

A: We will use the given compound interest formula to solve this question.

Q: Directions: Expand the following binomials using binomial theorem. 1. (4p + 2q)8

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Q: Question 3 Given that x and y vary inversely and that yis 24 when x is 8, sketch a graph of this…

A: Given that x and y vary inversely and y is 24 when x is 8, to sketch a graph of this inverse…

Q: Given A(3,-7), under which reflection is A'(3,7

A: We can answer the question as below.

Q: Consider a hypothetical cell phone company whose cost to manufacture x number of cell phones is C =…

A: NOTE: Refresh your page if you can't see any equations. . here cost function is  and the revenue…

Q: Prove by induction, showing all of your algebra steps: 2-2¹ +3.22+4.2³+...+(n+1)2 = n. 2+1 for all…

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Q: Find the length of side a in simplest radical form with a rational denominator. X 4

A: I have solved by using properties of  special right triangle...go through the solution...hope you…

Q: We always assume the radical is a square root if there is no index. True False

A: Yes it is true.

Q: If log x y=1/6, which one of the following is true?

A: logxy=1/6 here logxy can be written as logy/logx   now logxy=logy/logx = 1/6   logy = (1/6)logx logy…

Q: 2. find a matrix P that diagonalizes A, and compute p-AP. [500] Го о о A= 150 015 000 301

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Q: Dividing monomials Simplify. You answer should contain only positive exponents. X 3 य 1x²

A: x3/4x4 x3/4x3*x 1/4x