log y Explain how to solve 2x+1=9 using the change of base formula log, y = Include the solution for x in your answer. Round your answer to the nearest thousandth. log b

Q: Given the diagram below and triangle ABC is similar to Triangle DBE, find AC when BE = 10.4 in, DE =…

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Q: The speed of a stream is 2 mph. A boat travels 9 miles upstream in the same time it takes to travel…

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Q: The endpoints of a diameter of a circle are (3, 2) and (9, – 6). (a) Write an equation of the circle…

A: given that  ,  end points of diameter of a circle is (3 ,2) and  (9 , -6 )   (a)  we have to write…

Q: What is the solution to the system of equations y = -3x² + 2 and y = 3? (2, 3) (0,2) (2, 3) and (-2,…

A: NOTE: Refresh your page if you can't see any equations. . given equations are

Q: F. Determine the following given that 1. f(g(x)) 2. g(f(x)) 3. f(g(-1)) 4. g(f(2)) f(x)=x²+x-3 and…

A: As per our guidelines, we are supposed to answer only one question with three subparts only. since…

Q: Find the equation in slope-intercept form going through (1, 1) and contains a slope of 4.

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Q: A lab technician cuts a 12-inch piece piece of tubing into two pieces in such a way that one piece…

A: Please see the below picture for detailed solution.

Q: Mitchell owes his mom $18. He's been helping around the house a lot, so his mom decided to forgive…

A: Please see the below answer.

Q: -10+

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Q: Find the eigenvalues and eigenvectors of the matrix From smallest to largest, the eigenvalues are A₁…

A: Given:    65-1886-1845-13 To get eigen values A-λI=0   9-λ5-1886-λ-1845-13-λ=0…

Q: Find the axis of symmetry and vertex for the parabola y = -5x² - 20x + 9. Provide your answer below:

A: Given query is to find the vertex and axis of symmetry

Q: C. State whether or not the following relations are functions. Also, give their domain and range. 1)…

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Q: 14) Solve. (2x+8)² = -29: * A) x=8+√√29i B) x = ± C) x = D) x = √291 2 -8 -8± √29i 2 +8+ √291 2

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Q: A 5 sided die is rolled 2 times. How many different outcomes are possible?

A: We need to find different outcomes.

Q: The matrix -2 -1 −1 -4 1 1 4 has two real eigenvalues, one of multiplicity 1 and one of multiplicity…

A: Let's find eigenvalue and eigenspaces.

Q: 3. Which is the inverse of f(x) = ¹*? O f-¹(x) = ¹ O f¹(x)=1-x Of-¹(x)=1

A: To find the inverse of the given function

Q: QUESTION 18 Following section 9.5.2, let's calculate the equation of a plane passing through: P1 =…

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Q: Find the eigenvalues of A, given that A = and its eigenvectors are The eigenvalues are 148 058 4 -4…

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Q: 2. On Monday, Patrick bought 10 cups of coffee and 5 doughnuts for his office at a $16.50. On…

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Q: Given: 20, 38, 25, 23, 22, 30, 32, 36 Find D6 31.5 32 31 none of these O 30

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Q: Questions 43-44: Consider the ellipse 9x² + 36y² = 324. 43. Which of the following statements about…

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by 324

Q: Sample Student Work: Ethan

A: Given

Q: Consider u = [1₂] (u, v) = 11 - and v= U2 V2? [2] (u, v) = − (v, u) O (cu, v) = c(u, v) for any…

A: Given that, u=u1u2 and v=v1v2. The operation defined u, v=u1v1-u2v2. We have to find the true…

Q: C. Solve each problem. 1) What is the common difference in the arithmetic sequence 2,4,7,7,5 ? 2)…

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Q: Find the equation in slope-intercept form going through (5, 1) and has a slope of 5.

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Q: A coin is tossed 10 times what is the probability of getting all heads? Express your answer as a…

A: total 10 times tossed probability of grtting head=12

Q: 7. Convert the equati- conic section the e center. If it is a par 4x² - y² + 32x+6y +

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: 5. What is (gof)(x) if f(x) = 2x+3 and g(x) = ? O (gof)(x) = x + ¾ O (gof)(x) = x + 2/ O (gof)(x) =…

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Q: The total cost for tuition plus room and board at State university is $2,584. Tuition costs $704…

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Q: A classic car is now selling for $1000 more than two times it’s original price. If the selling price…

A: Given  Selling price=$18000 Now let's original price is X  Then 18000-1000=2x 17000=2x x=8500

Q: Find the total surface area of a right circular cylinder with a radius of 10.2 in and a height of…

A: See this solution in below.

Q: D. Describe the nature of the roots of the following quadratic equations. 1. 3x² + 5x + 1 = 0 5.…

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Q: 4. Find the absolute maximum and absolute minimum for f(x) = x³ - 12x + 12 on the interval [0,3].

A: for critical points  f'(x)=0dxmdx=mxm-1  and   dconstantdx=0f(x)=x3-12x+12

Q: solve for x.

A: Given: 3363xlnx+ln1-x21-x-177950-1111-x25=0 Use formula:

Q: Find an equation of the circle whose diameter has endpoints (2, 6) and (-6, 3). Check 100 e 18 8 0-0…

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Q: Solve the system of equations 3x + 3y = 9 and 5x - 3y = 7 using the Addition Method. Ox= -1, y = 3 O…

A: given    3x+3y=9........................1…

Q: How many different teams of 4 can be chosen from a group of 15 adults and 16 children if each team…

A: here given that 15 adults and 16 children. and we have to determine number of different teams of 4…

Q: Find the indefinite integral and check the result by differentiating. S(9x+8)³ (9)dx (9x+8)³ (9)dx=

A: ∫(9x+8)3(9)dx=9∫(9x+8)3dx  ∫xmdx=xm+1m+1+c

Q: Given the function C(n) = 5n³ + 7n² +nº+n There are at most at most n-intercepts, and turning…

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Q: Solve: Y(y-9)=-18

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Q: Factor: 3my+6y-m-2

A: A=3my+6y-m-2

Q: 6. Peter is 12 years older than his brother John. Six years ago, Peter was four times as old as…

A: Topic - Linear equations  we are given Peter is 12 years older than his brother John,and six years…

Q: 1. Complete the square and determine the vertex of the following function. y = 3x² +15x+5 To…

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Q: Evaluate the integral. [1³ (8+19) ³ dt

A: Given,            ∫t88+t98dt

Q: A wave is described by y 0.020 6 sin(kx out), where k = 2.08 rad/m, w = 3.64 rad/s, x and y are in…

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Q: Suppose a designer has a palette of 16 colors to work with, and wants to stripes, all of different…

A: We have to find the total number of ways such that flags can be created

Q: 23) Perform the operation, then simplify.: * 8s³ 10s7 25s 32s 14 A) S/1. 2 C) E) A) B) 20 D) OE) 516…

A: we need to find out the correct option.

Q: E. Perform the indicated operations given that f(x) = 2x² + x - 3, g(x) = 4x² - 9, and h(x) = 2x + 3…

A: We are authorized to answer three subparts at a time, since you have not mentioned which subparts…

Q: Find the equation of the line given two points. 1.) (3, 3) and (2,1) 2.) (5, 1) and (2,4) 3.) (0,0)…

A: