Course: MAT 143: Algebra and Trigonometry Instruction: Answer Must be handwritten according to the question instructions and step by step clear explanation 6. (a) Solve the following exponential equations. (a) 32-x=81

Q: In a laboratory experiment, the population of bacteria in a petri dish started off at 9100 and is…

A: The initial population of bacteria is 9100and growing with 6% per day

Q: Simplify. х+4 4x + 24 3 X + 6x *2

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Q: The percent of female smokers 18 years and older has decreased from 1965 to 2002. Use the table to…

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Q: 10 y X 110

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Q: A turtle is at the bottom of a 17-foot well. Each day it crawls up 4 feet, but each night it slips…

A: Solution Let x be the number of days will the turtle reach the top of the well.

Q: (4) Expand the following ratio of polynomials using Partial Fraction Expansion. (b) F(s) = s²-1…

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Q: Find the general solution of the given differential equation. 5(dy/dx) + (1/x) y =25x^2sin(x).

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Q: The revenue R received by a video store renting x DVDs per day is given by the function R(x) =…

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Q: A town's population has been growing linearly. In 2003 the population was 69,000. The population has…

A: To find the population in 2009

Q: 0° ≤ theta < 2pi, solve cos theta=cot  theta

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Q: A total of 27 coins in nickels and dimes, are in a wallet. If the coins total $2.15, how Coin are…

A: A total of 27 coins in nickels and dimes, are in a wallet. If the coins total $2.15, how many of…

Q: Perform the indicated operation. Show your work using the Equation Editor Tool. (x² − 2) (2x² + 5x −…

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Q: b How many flags have five different colours? c How many flags look the same if flipped top to…

A: We need to find number of combinations for flags.

Q: A rectangular tank has width 2 ft, height 2 ft, and length 6 ft. It is filled with equal volumes of…

A: We have to find the force exerted by the mixture on one end of the tank.

Q: Solve the given initial value problem and determine how the interval in which the solution exists…

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Q: then A-¹ 1 A 8 6 -2 0 -7 0 1 9 "

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Q: If f f(x) = x² +6, g(x) = x - 8 and h(x) = √x, then f(g(h(x))) =

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Q: A manufacturer sells video games with the following cost and revenue functions (in dollars), where x…

A: Given cost and revenue functions are respectively...where x is number of game sold....The Profit…

Q: Find and interpret the average rate of change illustrated in the following graph. Value of Machine…

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Q: 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 Slope: m = i 76 Find the slope of the line. 2 3 4 S 6 7 a

A: Slope =

Q: What is an equation of the line that passes through the point ( − 8 , 0 ) (−8,0) and is parallel to…

A:

Q: The revenue R received by a video store renting x DVDs per day is given by the function R(x) =…

A:

Q: Solve the recurrence relation. Given: • ao = 5, • a₁ = 6, • an = 8an-1-12an-2 Remember: is O O -b±…

A: Here first we will convert the given recurrence relation into quadratic form after that we will…

Q: f(x) = x² + x - 12 g(x) = x - 3

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Q: Let where 2i 3-4i #6688 = [1₁3 CER is a constant. For which of the following values of c,…

A: The matrix where  is a constant. We have to find for which of the following value of c, Formula…

Q: Sketch a line passing through the point (3,3) and having slope 1 m= 3

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Q: Let -J-6:30 = (3 1 A=-2 b= Then Lb is the unique solution of Ax=b.

A: We are given .Here, we need to verify that Lb is the unique solution of Ax=b. So, if we can verify…

Q: Let A = 4 B= - 8 Construct a 2×2 matrix B such that AB is the zero matrix. Use two different - 3…

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Q: What is the equation of the graph in standard form? Is there a stretch or a shrink from the…

A: The graph is given as ,What is the equation of the graph in standard form?

Q: reduced row-echelon form: If there is one solution, give its coordinates in the answer spaces below.…

A: Given set of equations are ;

Q: d. [10 [ 7x= [37] X 6 8 Then X = 00

A: *Note: As per Bartleby's guidelines, in case of multiple questions only the first question is…

Q: 1 On the map (right), the length of each east-west block is each north-south block is mile. Victoria…

A: Length of each east-west block = Length of each north-south block =

Q: 5x 2.09 kN/m) x [2₁8(mm) 384 [9,5.10°/1 KN X 4 IMM OFTE 389 2, 8(mm) 1200 AC SUB 994

A: Formula :

Q: Determine the coefficient, a, for the term shown in the binomial expansion of below term : ax³y7…

A:

Q: thousandth

A: A decimal number is a number that consists of two parts:  A whole number and the fractional…

Q: 1- the equation f(x)=0 has a root in the interval 0.3 ≤x≤0.4, using the f(x)=4x-ex et iteration…

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Q: Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts,…

A: The graph given is

Q: to the equivalent linear system. Use x1 and x2 to enter the variables ₁ and ₂. || || 5 35 -1 4 5…

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Q: Given the graph for one quadratic function, f(x), and the table for another, determine which has a…

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Q: What is the curvature of r(t) =e^t cos(t) i + e^t sin(t) j?   A) e^ (-t)/squareroot(2)   B) e^t/…

A: The curvature of a curve given by the vector function , we need to determine the magnitude of the…

Q: x=7, x2-2x+5=

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Q: Simplify. a+2 a² + a 2 +a-2 + 4 2 a² + 2a - 3

A: Given data

Q: 4. "We want to redo our pricing so that all the pizzas have the same price/area. We are going to…

A: Question 4:To find the price for the pizza with twice the diameter of the "Mini," we need to…

Q: then A-1 A 7 -8

A: Where  is the transpose matrix of the cofactors.The expression for the cofactors is:

Q: The functions f(x) and g(x) are graphed below. -5 -4 -3 -2 5- 4 3 Determine -1 1 ST -2 B -4 7 4 -5+…

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Q: A table for a function f is given to the right. (a) Determine whether function f represents…

A: given here a data and asked to find whether f represents which type of function and formula for f.

Q: Given the following functions, find each of the values: f(x)=x²-x-12 g(x)=x-4 (ƒ + g)(−1) =…

A: The given functions are,

Q: 4(a) Consider the region in R² defined by the following inequalities: x²+x²² ≤ 4, F1 F₂ ≤ 1. (i)…

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Q: Q2: If 1 0 0 -6 A 1 20 -3 5 2] Show that bases for the eigenspaces are 8 # - 8 λ = 1: P₁ = 1; λ = 2:…

A: In this question , we will find eigenspace using eigen values.

Q: Solvex - 6 ≤ 2 State your answer as a compound inequality A < x < B: State your answer in interval…

A: