Are the expressions equivalent for positive b? log (10006) and 1000 + log b

Q: 3 d) (x + 6) = 8

A: The equation is

Q: Ay a) x-intercepts: c) Domain: e) Where is the function increasing? b) y-intercept: d) Range: f)…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: You are given the point A = (12, —7, 0) and the line £ : x = Find the point B on L closest to A. 000…

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Q: What is R(x) for this value of x? find C(x) for this value of x.

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Q: The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice,…

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Q: Prove the given statement by using mathematical induction. 1 1 1 n ++++)-¹-(-)* = =1- 4 n

A: use mathematical induction

Q: Consider the following matrix A: [0 1 -1 A = 0 5 -5 1 -1 -3 For each of the following vectors,…

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Q: A science class has a total of 37 students. The number of males is 13 more than the number of…

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Q: 4x+12y=-32 - 3x - 14y= 14 Solve the system by completing the steps below to produce a reduced…

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Q: Determine the measure of 4x. m4x=° (Type a whole number.) 110° 138° X

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Q: A store has two types of animal feed available. Type A contains 7 pounds of oats and 1 pound of corn…

A: Let x bags  of Type A and y bags of Type BTable Type A (x)Type B (y)RequirementsOats7243Corn1317

Q: 35e/10 +9=113

A: 35et/10+9=113

Q: Solve the following differential equation with initial condition by using the Laplace transform…

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Q: What is the maximum number of real roots a 5th-degree polynomial can have?

A: The roots of a polynomial are the values of the variable (usually denoted as x) for which the…

Q: 4 x = log₁ log₁ V25 5

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Q: A rectangle has a length of 175 meters and a width of 112 meters. Find its perimeter in exact and…

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Q: Multiply using the rule for the product of the sum and difference of two terms. (4x+3y)(4x-3y)…

A: we need to find out the product.

Q: A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 45…

A: A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 45…

Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE.) f(x)…

A: f(x)=8x2+12x2+7x−4

Q: For f(x) = 5x + 7 and g(x)=x², find the following composite functions and state the domain of each.…

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Q: 14 2 x + 7 (a) (fog) (4) (b) (gof)(2) (c) (fof) (1) (d) (gog)(0) Given f(x)= |x and g(x) = (a) (fo…

A: f(x)=|x|, g(x)=14/(x2+7)

Q: The function P(t) = Po e0.42t describes the growth of a population. Give the starting population at…

A: P(t)=P0⋅e0.42t

Q: (a) Construct a table of values for the function g (x) = = 26(1.1)* for x = 0, 1, 2, 3, 4. Round…

A: a0=1

Q: Find two numbers a and b such that the following system of linear equations is consistent…

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Q: Jamison invests $6500 in two different accounts. The first account paid 12 %, the second account…

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Q: The Royal Fruit Company produces two types of fruit drinks. The first type is 70% pure fruit juice,…

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Q: A game uses a single 6-sided die. To play the game, the die is rolled one time, with the following…

A: The objective of this question is to calculate the expected value of a game that involves rolling a…

Q: Use the correct compound interest formula: A = P(1 + 2) t A = Pert If $5000 is put aside in a money…

A: Given if $5000 is put aside in a money market account with interest compounded continuously at…

Q: Use the formula for Pr to solve the following question. A club with five members is to choose three…

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Q: 9) let f(x) = (x +2)² - 12. a) Sketch a "good enough graph" of f. b) Determine the number of…

A: (a) f(x)=(x+2)2−12

Q: trices: 4 -4 5 [1] [223] 3 3 7 -2 5 Use the paperclin butto

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Q: Determine the coefficient of each term, the degree of each term, the degree of the polynomial, the…

A: The given polynomial function is

Q: System B System A -7x+2y=13 [A1] -7x+2y=13 [B1] -8x+5y=4 [A2] 16x 10y=-8 [B2] System C -7x+2y=13…

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Q: lim xyz (x,y,z) → (0,0,0) x2+yAtzt O does not exist. O is equal to 1. O is equal to 0. O is equal to…

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Q: are Exercise 11.2.2 On C[-1, 1], which of the following functions orthogonal to each other? fi(x)=x,…

A: The definition of orthogonality of a function states that two functions p and q are orthogonal on…

Q: Given the following Venn diagram, where A and B are each represented by an oval: Which regions make…

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Q: You invest  B0  dollars in an account that draws interest at a monthly rate of r as a decimal,…

A: "Since you have posted multiple questions in a single request, we will solve first question for you.…

Q: A parabola can be drawn given a focus of (-5,0) and a directrix of y =8. Write the equation of the…

A: The objective of this question is to find the equation of a parabola given the focus and the…

Q: 1. Solve for x If there are multiple solutions, separate them with commas. If the two solutions are…

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Q: The number of seconds that it takes a pendulum to swing back and forth once (called its period) is…

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Q: 15. Solve -3x2 - 6x+21= 6x + 8 and x

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Q: 2. Function g is a transformation of the parent function f(x) = x2. The graph of f is translated…

A: The base(parent) function is,The graph of f(x) shifted right by 2 units.So the new function is given…

Q: Find an of the geometric sequence if a5 = 15 and a7 = 375.

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Q: If (a-b)/c = (c-b)/a = 0.1, what are a, b, and c?

A: (a-b)/c = (c-b)/a = 0.1

Q: 2. The function (x) has the focus located at the origin and directric at y=10. Determine the…

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Q: Find the general solution of the given system.using matrices dx/dt = -5/2x + 4y dy/dt = 3/4x-3y

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Q: Find the Euclidean distance between the points and the city distance between the points. Assume that…

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Q: The number of patrol officers needed on staff depends on the crime rate of the county, which is…

A: At a 3% crime rate, the county hires 200 officers per 10,000 people in the population.For every 0.1%…

Q: Solve each inequality write the answer in interval notation a. 2x+5 <17 b. -5x ≤ 30 c. 18x +45 ≤…

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: (b) (i) For which values of x in the table is g(x) < 31.46? O x = 0 and x = 1 O x = 2, x = 3 and x =…

A: To find the value of X for which g(x) is less than 31.46