Given logx=m+n and logy-m-n express the value of log10x-:y^(2) in terms of m and n

Q: Which one of the following sequences below is arithmetic? O 48, 24, 12, 6, 3,... O48, 44, 38, 30,…

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Q: Provide an original example each of maximization problem of Linear Programming. Provide the graphs…

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Q: Find u, u = (-1, 4), v = (4, 5) (a) ||u|| v, uv, and d(u, v). (b) ||v|| (c) (d) U V d(u, v)

A: The given vectors u=-1, 4, v=4, 5. We have to find the values of u, v, u.v, du, v.

Q: A pitcher's earned-run average E varies directly as the number R of earned runs allowed and…

A: The given question can be solved using the concept of constant of proportionality.

Q: A contractor is to build a brick wall 6 feet high to enclose a rectangular garden. Only three sides…

A: Given that , Height of wall = 6 feet Perimeter = 128 feet What dimensions should the contractor make…

Q: K Write the system of equations as a matrix equation of the form AX = B. X₁ - 4x₂ + 3x3 = -3 = 1 X₁…

A: In order to write sytem of linear equations in matrix form AX=B, we first write coefficeints of the…

Q: The sum of the three numbers is 34. The largest number is six more than the sum of the two smaller…

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Q: What is the Relative Frequency for the data x=5 given in the frequency table below: X23 4 849 6 7 f…

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Q: 5. The set B = {1+ t²,2t - t², 1−t+t²} is a basis for P₂. Find the Coordinate vector of p(t) = 6 +…

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Q: Answer the following as indicated. (Format: problem, then, solution) 2. Elena wanted to invest in a…

A: Given Data  Rate of Simple Interest (r)=8% time (t)=2 years

Q: Write the following number as a fraction: 0.302

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Q: You deposit $15000 in a bank that its interest rate is 6% annual interest compounded quarterly What…

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Q: 4. Discuss the convergen (a) 2"e-n.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: In a party, we have 30 people who are tall 55 people who are basketball player 60 people who are not…

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Q: Find the maximum value of the function f(x) = -0.9x² - 12.4x nearest hundredth. - 36.9 to the

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Q: b. log 64 = 3

A: Topic = Algebra

Q: Graph the parabola. y = (x+3)² +1 Plot five points on the parabola: the vertex, two points to the…

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Q: Find the accumulated value of an investment of $20,000 for 6 years at an interest rate of 1.65% if…

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Q: The graph of a quadratic function with vertex (2, 0) is shown in the figure below. Find the range…

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Q: Rolling a pair of dice. What is probability of having a pair of six Q-1/16 O 2/36 none of these…

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Q: A warranty identification number for a certain product consists of a letter of the alphabet followed…

A: To determine the number of possible identification numbers.

Q: (a) Find the rational zeros and then the other zeros of the polynomial function f(x)= x³ + 3x² -…

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Q: Given that f(x) = 4x + 4 and g(x)=x² - 4x-6, find (gof)(4). (gof)(4) = (Simplify your answer.)

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Q: Solve the logarithmic equation for x. (Enter your answers as comma-separated lists.) (a) log(2x) = 4…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: A. Write each of the following sets using the roster method. State the cardinal number of each set.…

A: We have to write each of the sets using the roster method and state the cardinal number of each set.…

Q: b. log, 8³

A: we know that  logaa=1logaxn=nlogax

Q: 1 Sketch the graph of f(x)=+1. x-5

A: To sketch the graph of fx=1x-5+1.

Q: Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise.…

A: Given integral is ∮C(5x+arctany2)dy-(7y2+sinhx)dx, where C is the boundary of the square with…

Q: Find the least common multiple of the numbers 72 and 30.

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Q: What are the next two terms in the sequence 512, 256, 128, 64, ?

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Q: A card is randomly selected from a standard 52-card deck. Find the probabiltiy that it is NOT a face…

A: Topic -Probability We are given, Number of cards in a deck =52We know thatnumber of face…

Q: A bacteria culture starts with 440 bacteria and grows at a rate proportional to its size. After 2…

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Q: 3. A medical researcher establishes that a patient's reaction time, r, in minutes, to a dose of a…

A: The objective is to solve the above question.

Q: How much must be invested today at 7% compounded monthly to have $3,000,000 in 20 years?

A: According to question,Given data,Amount = 3,000,000,Time = 20 years,Rate of interest = 7%,Componded…

Q: Which of the following is not a function for all values of x? Of(x) = x³ Of(x) = (-x) = ○ f(x) =…

A: Let's solve for function or not.

Q: 6. If A= 1 3 -4 " then A¹¹=

A: A=1-3-4 To find: A-1

Q: The number of bacteria in a refrigerated food product is given by N(T) = 26T² — 129T + 97, 5 < T <…

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Q: Solve the following by graphing 1. 3x y = 2 x + 2y = 10 - 2. m + 2n 2m + 4n = 4 -8

A: 1. Given that,               3x-y = 2x+2y = 10 Graph:     Answer: The solution is…

Q: In the equation x+7-1= x the solutions can be described where... x = 2 is the only valid solution; x…

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Q: An electronic sign for a grocery store is in the shape of a rectangle. The perimeter of the sign is…

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Q: i = [¹] and 6 = [] b Let a Compute the projection of a onto band the vector component of a…

A: We have to compute the projection of a onto b and the vector component of a orthogonal to b.

Q: 7. Let f(x) = 4x − 3, g(x) = x² + 4, h(x) = x + 5. Evaluate the following. a. (f+g)(-4)

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Q: Find the indicated term in the expansion of the given binomial. The term containing x7 in the…

A: To find the indicated term of binomial expansion

Q: For the geometric sequence, What is the common ratio? What is the fifth term? What is the nth term?…

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Q: 11. Find the indicated terms in the expansion of the given binomial. The first three terms in the…

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Q: Determine the positive x solution for the following equation. x³ = 1,000,000

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Q: List the first 5 terms of the geometric sequence given a₁ = 84 and r= 0.5.

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Q: 3. Solve the rational equation + 1 = 4 x-3 12 ²-6

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Q: 15. y + x = 0 2x + y = 0 x - y = 9 -x + y = 1 17. 16. y = - 4x y = 18. 40x, +30x₂ = = X 24 20x₁ +…

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