EVALUATE а. log 2 1/4 b. log 6 216

Q: Find the value of the constant a if V(x, y) = 3ax +3xy satisfies dx %3D + a = (Type an integer or a…

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Q: 7 5 4 3 2 1

A: the equation of parabola in standard form when the vertex is not at the origin and the axis of…

Q: A ball is launched of the top of a hill and is represented by the equation h(t) = -5t2+60t+2, where…

A: Solution ) h(t) = -5t2+60t+2 Differentiate with respect to x  h'(t) = -5 × 2 × t + 60 × 1 + 0  […

Q: -/4 1/4 1/2 ー|す - | 00 PDP'. Use the Diagonalization Theorem to find the eigenvalues of A and a…

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Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use…

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Q: An exponential model y = a · b* passes through the points (0, 8) and (2, 128). What are the values…

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Q: f(2) = (8)** 7 (8)* +1 in the form f(x) = A · B™ A В This function an example of exponential Select…

A: Given query is to find the value of A and B

Q: x* +3x +3x+1 Find lim 2х3 + 3x? —1 х->-1

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Q: The purchasing power P of a fixed income of $30,000 per year (such as a pension) after t years of 6%…

A: The purchasing power P of a fixed income of $30,000 per year after t years of 6% inflation can be…

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…

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Q: Twenty percent of a radioactive substance decays in ten years. By what percent does the substance…

A: We have to find the percent the substance decay each year.

Q: Find the area of a parallelogram in 3-space when the adjacent sides are A` =2i`+4j`-3k` and B`=…

A: area of a parallelogram in 3-space when the adjacent sides are A` =2i`+4j`-3k` and B`= i`-2k`

Q: 13. You are serving 100 guests one half of a potato with sour cream and caviar How much will the…

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Q: ladder is leaning against a wall. If the angle between the ground and the ladder is 60° and the…

A: Given query is to find the height of the wall.

Q: Artificial turf is being used to cover a playing field. The field is rectangular and has a length of…

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Q: Ryan usually bikes at an average rate of 12 miles per hour mph how long does it take him to hike a…

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Q: find two consecutive positve odd integers whose product is 63.

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Q: x 3 For the function f(x)= 27 -x+39 2 (x)%3D 3 4 (i) Determine the coordinates of the turning…

A: Here, the given function is: f(x)=x33-34x2-272x+39 So, f'(x)=x2-32x-272f''(x)=2x-32

Q: Question 2 : Consider the matrices 1 1 3 A = 1 2 4 1.1 4 (a) Use elementary row operations to find…

A: First we find inverse then x=A-1 b.

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution sets in interval notation…

A: From the graph, find on what values of x f(x)>0.c) f(x)>0The solution set is: -2,0

Q: Find all possible rational zeros of 3x + 9x + 8x° – 2x2 – 3x – 2. Write all answers as reduced…

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Q: A school playground is in the shape of a rectangle 700 feet long and 200 feet wide. If fencing costs…

A: This question can be solved using the concept of perimeter of rectangle.

Q: Determine the real parameter "m" and solve the equation: x4+15x3+70x2-120x+m=0 knowing that the…

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Q: Solve using the method of undetermined coefficients y''+ 3y = -48x²e^3x

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Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: Find an angle between 0° and 360° that is coterminal with the given angle. 1390°

A: topic - coterminal angles

Q: The compound interest formula is given by A = P(1+)" nt where A is the accumulated amount, after an…

A: Given that the compound interest formula is given by       A = P(1+r/n)nt

Q: Identify the function as a power function, a polynomial function, or neither. f(x)= 3x+1

A: Given that the function                  f(x) = 3x + 1 Here we have to identify the type of…

Q: *…

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Q: Formulas for the Grapns a. f(x) = - (4") %3D ()' b. f(x) %3D c. f(2) = (5) c. f(x) %3D d. f(x) = 4"…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible.…

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Q: Let R be a relation on the set of all integers such that a Rb if and only if a +b = 0. (a) Is R…

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Q: Sid needs 0.8 meters of canvas material to make a carry-all bag for his wheelchair. If canvas is…

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Q: Fill in the blank with a number to make the expression a perfect square. + 2w + M ?

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Q: Create the exponential function in the form f (x) = a(b)* that fits the two data points given:…

A: Given query is to find the exponential function.

Q: Use an algebraic equation to find the measures of the two angles described below. Begin by letting x…

A: Let θ be measure of other angle.So,θ=62°+x  --->1Since θ and x are complement to each other, i.e,…

Q: A coin is tossed four times. Assuming the coin is equally likely to land on heads or tails, compute…

A: Given: A coin is tossed four times. Assuming the coin is equally likely to land on heads or tails,…

Q: These prices may seem cheap but they were not - "back in the day." This is due to inflation. In a…

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Q: Find g C4

A: Here we have to find the value of 9C4.

Q: Find the values of the trigonometric functions of 0 from the information given. cos(0) = tan(0) < 0…

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Q: student downloaded 6 music files to a portable music player. In how many different orders can the…

A: Given query is to find the value number if ways songs can be played.

Q: Solve each polynomial inequality without a calculator. Show your factoring and a complete…

A: The given inequality,  x4+x3-6x2≤0

Q: (c) Gwyneth positions a neutral freight ship of height 13 cm directly in the path of the missile at…

A: We are given a   trajectory of a missile as a quadratic equation y= -0. 08x2 + 2.15 x+0.38 Where y…

Q: 8. Thought Provoking DO function of the form y = X where m and n are positive integers hove inverse…

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Q: Peaceful Travel Agency offers vacation packages. Each vacation package includes a city, a month, and…

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Q: 5x log V7- 5x

A: LetL=ln5y5x-237-5x7Apply log rule:  logcab=logca-logcbln5y5x-237-5x7=ln5y5x-23-ln7-5x7Apply log…

Q: 1. Let A = {a, h, g}, and B = {3,6}. Answer each of the following questions. %3D (а) Ах В (b) В х В

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Q: Express the set using the roster method. (x| xEN and x> 9) Choose the correct answer below. O A.…

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Q: Plot and 2 on the number line below. 14

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