Use the Laws of Logarithms to expand the expression. 100 (124²) log z5

Q: x2 f(x) = x² + 4x - 12 x2-3x - 10

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Q: Use the graph of y=f(x) to graph the function g(x) = -f(x) + 4. y = f(x) Ay Choose the correct graph…

A: Given:

Q: A B D What is the size/order of the matrix A = 1 9? 5 2 3 x 3 3 x 2 2 x 2 2 x 3

A: The given matrix is;  A=[ 2 3        1  9       5   2].

Q: Question 3: Find the natural domain and determine the range of each the following functions: (a)…

A: Given functions:- a) fx=1x-3 b) gx=x2-3 c) hx=11-sinx d) Fx=xx

Q: Solve the equation P=2(+ w) for 1. Answer in the form 1 = ..

A: given  P=2(l+w)

Q: sha works for 7 hours she can rent out 6 apartments, and if she works for 8 hours she can rent out 9…

A: Solution : this refers to the additional number of benefits that Sasha gets when she works an extra…

Q: Find the vertex of the parabola. f(x) = 2x²-8x+2

A: parabola

Q: 20 Which situations indicate that there must be two complex roots/zeros/x-intercepts for y= A) The…

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Q: 105. [C 106. [- A polynomial P is given. P(x) = x + 36x² (a) Find all zeros of P, real and complex.…

A: We have to answer two questions and their subparts.

Q: 4 0 4) A = 6 1 14 5 0 0, λ = 4 -4

A: Given matrix:- A=400610145-4

Q: Name 2. -90 ÷ 3 For problems 1-4, write the unknown factor equation associated with each expression,…

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Q: Solve the equation V = Tr2h for h.. Answer in the form h = ..

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Q: Use the Remainder Theorem and synthetic division to find each function value. Verify your answers…

A: To find the remainder when given polynomial is divided by x-1.

Q: Evaluate the function h(x) = x² + 7x² +6 at the given values of the independent variable and…

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Q: What is the slope of the tangent to the curve h (x) = 3.4 x at the abscissa point is x = 2?

A: According to question,Given equation, h (x) = 3.4x

Q: When the sum of an unknown number z and twenty-two is divided by the same unknown number, the…

A: Just i have written the given statement in mathematical form and solve it, and find that    Unknown…

Q: A leaning telephone pole is guyed at 4.7m by two wires, as shown in the diagram. The wire lengths…

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Q: Give the rank and nullity of the matrix. 1 A = 0 1 rank(A) = 1 nullity (A) = = 2 1-2 2 1 -1 -3 XX

A: Given: Matrix is given

Q: 14 | x 7| - 2

A:

Q: Use the Laplace transform to solve the following initial value problem: y" + 3y = 0 First, using Y…

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Q: of the island to help alleviate traffic congestion and to provide users with a safer road network.…

A: Question related to Operational Management topic.

Q: 3 Given the matrix =(39), -6 A = (a) find a basis for the null space of A, (b) find a basis for the…

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Q: 80 CHAPTER 1 Linear Equations in Linear Algebra c. The standard matrix of a linear transformation…

A: 33.)

Q: Given the function f(x) = x³-x²-8x+12 x²-4 solve for the Domain, Intercepts (x- intercept(s),…

A: fx=x-22x+3x+2x-2=x3-x2-8x+12x2-4 This is a rational function.

Q: Find the x^2y^3 term in the expansion of (3x + y)^5. Simplify your answer so it does not include any…

A: Given that (3x+y)5

Q: Question 5: Find the formulas for f+g.f-9. fg, and f/g and state the domain of the functions. (a)…

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Q: Graph the function f(x) = | 6x+5 2x-3 by investigating intercepts, asymptotes, positive and negative…

A: The given function is: fx=6x+52x-3

Q: 15 Solve. X = √√√x+13+7 3 12 3.12 IN and write interval

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Q: In a geometric progression, the fifth term is 16 and the seventh term is 4. Find the; i. Common…

A: We need to find out the common ratio, first term and also the sum to infinity.

Q: Evaluate the summation below. 7 2(2p²-8p) p=2

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Q: T₁ T2 X1 X2 ([₁₂]) = [ X2 4x1 - 5x1 + 2x2 - 2x1 -4x2 (T₁-T₂) ([^^]); O 2 Ex: 42

A: We have  T1x1x2=4x1-5x1+2x2T2x1x2=-2x1-4x2

Q: -3 13 X

A: Given that a inequality problem and we describe the value of x on number line .

Q: Consider the following proof. Given: T(N) = T(N-1) + 5 and T(1) = 3. Conjecture: T(N) = 5N-2 for all…

A: Given: T(N) = T(N - 1) + 5 and T(1) = 3   Conjecture: T(N) = 5N - 2 for all N >= 1

Q: a) c) y = 4* f(x) = ex b) y = 0,9* d) g(x)=3,4*

A: Note : subparts (b) and (d) are incomplete.please repost that questions.

Q: A kiddie pool holds 161 gallons of water. One hose can fill the pool in 3 hours while an- other…

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Q: find the equation for an exponential function that passes through the pair of points given below…

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Q: Let U = {q, r, s, t, u, v, w, x, y, z); A = {q, s, u, w, y); B = {q, s, y, z); and C= {v, w, x, y,…

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Q: 8.6 km I 7. b A = 38.7 km²

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Q: What is the length of AHD? (round to two decimal places) 2000 ft 50° 35

A: From the figure OC = OB = OA = 2000 ft

Q: 3. Here is a graph of q(x). Is this function even, odd, or neither? A. Even B. Odd A. C. Neither…

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Q: Nick can shovel a driveway in t minutes. If Andrew were to shovel the driveway, it would take him 6…

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Q: With the equations of three plans (shown in the image)     A) Demonstrates that the three planes…

A: According to question,Given equations of three planes,π1 : 2x+y+6z-7=0,π2 : 3x+4y+3z+8=0π1 :…

Q: ball is hit in the air. Its height h, in feet t seconds after it is hit is modeled by the equation…

A: we will find the required.

Q: Use the inverse of the coefficient matrix to solve the system of equations. x+2y+3z = 13 2x+3y + 2z…

A: We know that inverse of A=Adj(A)/det (A)

Q: Question 10 Suppose that (a) -2 (b) 2 a d 9 (c) -4 b с e f h i = 2. Then (d) 4 b - 2a e - 2d b с e f…

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Q: 5. My husband is designing a house with a staircase. The height between the two floors is 10 feet.…

A: A. To calculate the number of steps required for a staircase with a height of 10 feet and steps that…

Q: Use the graph to find the following. (d) the y-intercept (e) intervals on which f is increasing (f)…

A: A graph of the function is given, we have to find the given values of the function. Note: Since you…

Q: Find the general solution, given that y₁ = e-² satisfies the complementary equation. Use c₁ and ₂…

A: We need to solve D.E.

Q: < Use the graph to determine (b) (a) open intervals on which the function is increasing, if any.…

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Q: Write an explicit formula for each sequence. Then generate the first five terms. a1=100, r = -20.…

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