Find the solution of the exponential equation 2z +1 - 49 e41 %3D in terms of logarithms, or correct to four decimal places.

Q: What triangle similarity theorem states that "If an angle of one triangle is congruent to an angle o...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: a. Find the average rate of change of demand for a change in price from $2 to $3. The average rate o...

A: Follow the procedure given below.

Q: Which of the following quadratic equations matches the given graph below? O y=6x+1 O y=6x+x O y=+1 O...

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Q: Two variables are connected by the relation: Q is increased by 40%. To the nearest percent, describe...

A: Since two variables are connected by the relation P~1Q2. Let                                        ...

Q: Quarterly withdrawals of $850 for 7 years; interest rate is 4.9% compounded quarterly. Find the amo...

A: The formula is:A=P1+r4004Twhere P=principal amountr=rate of interestT=time

Q: A rectangular roller skating rink has no boundaries. If you were to take a 300-foot length of rope t...

A: Given : Length of Rope to create boundaries around the rectangular roller skating rink = 300 foot So...

Q: Write the system as a vector equation or matrix equation as indicated. Write the following system as...

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Q: 1 2 Prove that for all relevant x-values 1 (4–2x)² 2 -x

A: Using (2-x2 ) 2 > √(1/5-x)  and prove it. 

Q: Solve the system of equations. 2x1 + x2 = 0 x1 - 3x2 + x3 = 0 3x1 + x2 - x3 = 0 Select one: A.(0, 1...

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Q: A group of 8 friends are eating at a restaurant together. The final bill for the whole meal is 104 d...

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Q: Solve the following logarithmic equation. log x+ log (x + 3) = 1 Write the equation obtained after a...

A: topic- logarithmic equations log a + log b = log ab

Q: Finding slope given the graph of a line in quadrant 1 that model. Espahol the c.ese cost (in cents) ...

A: Topic:- function

Q: 1. 2 What is the least possible degree of the polynomial graphed above? What is the least possible d...

A: 1) To find the least degree of the polynomial whose graphs are given.

Q: 2n+1 4. Use the definition to prove that converges. 2n+3

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Q: Use synthetic division to find the quotient and remainder when -2x + 6x + 8x +5 is divided by x-4 by...

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Q: 5a+ 2b 3. Decide whether the set of all vectors of the form is a subspace of R³ or a b.

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Q: Evaluate the function f(x) = -x^2+3x+2 for the following:  f(-2) and f(10)

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Q: The admission fee at an amusement park is $3.75 for children and $6.20 for adults. On a certain day,...

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Q: 1. Choose the correct answer. Which pair of binomials matches the given polynomial? 25a? + 70ab + 49...

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Q: con oncdnd any notes about unique things to consider in that problem Your work must be clear, detail...

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Q: The function f(x) = 5(x- 3)² + 10 has a vertical shift of how many units? %3D O 5 О 10 O-3

A: We have to find the vertical shift in the given function.

Q: Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon form as...

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Q: Multiply and simplify completely, including the elimination of all negative exponents: ( 5 x ^ 4 /4 ...

A: =5x44y55·44 y853 x-7=55 (x4)545 (y5)5·44 y853 x-7=55 x2045 y25·44 y853 x-7=53 52 x2044 4 y25·44 y853...

Q: 5a+ 2b 3. Decide whether the set of all vectors of the form is a subspace of R³ or a

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Q: Find b and c so that y 9x2 + bx + c has vertex (– 10, – 5). || - - b = C = ||

A: Given y=-9x2+bx+c and vertex(-10,-5) We have to find b ,c

Q: ven f(x), find g(x) and h(x) such that f(x) = g(h(x)) and neither g(x) nor h(x) is solely x. %3D f(x...

A: Given problem:- Given f(x), find g(x) and h(x) such that f(x) = g(h(x)) and neither g(x) nor h(x) is...

Q: Write the system as a vector equation or matrix equation as indicated. Write the following system as...

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Q: #2 Isaac invested $77,000 in an account paying an interest rate of 4.6% compounded quarterly. Assumi...

A: We have to find amount

Q: Find the slope-intercept form of the line shown in the graph bele 10+ 7- 4 3. 10 -9 -8 -7 -6 -5 -4 -...

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Q: %3D The polynomial of degree 3, P(x), has a root of multiplicity 2 at r = 3 and a root of multiplici...

A: Given query is to find indicated polynomial.

Q: The sum of the ages of Alan and Erin is 78 years. 11 years ago, Alan's age was 3 times Erin's age. H...

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Q: points are shown on the graph to write the E-slope form of the line that models the average global t...

A: Given query is to find slope intercept form of the line

Q: Choose the form which represents the following system of linear equations: 7x+y-2z -11x +4y + z Зх -...

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Q: Determine the equation for y given the differential equation and y=5 when x=0. dy = y sec? x dx

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Q: As a nurse, part of your daily duties is to mix medications in the proper proportions for your patie...

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Q: Tina draws a pattern consisting of a number of similar equilateral triangles. The first triangle has...

A: Given:  The first triangle has sides of 4 cm in length and the side length of each successive triang...

Q: Solve for the value of x. (4x) (5х- 15)° (10x- 30)°

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Q: 10000 1.) 2.) (16x²)

A: 1) (10000/81)1/4  2) (16x2)1/2 

Q: Determine whether or not the matrices [5 -3 [5 -1 2 -1 and |4 1 -2 are similar. 3 |2 -1 2 Choose

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Q: What are the zeros of the following quadratic equation? y=x -6x O x= 0,6 O x-4,-2 O x= 6 O x=1,-6

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Q: Twenty years ago, Euler deposited $3000 into a college savings account which pays 4% interest, compo...

A: We can find the current value of the investment as below using continuous  compound interest formula...

Q: 7. Given that ABCD WXYZ. Which of the following is the value of a? С. 5 m 7.5m a 3m 4.5m A. 4 m В.б ...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: At Hanna's hair salon, a full-time starting stylist gets paid a base amount of pay per week, then $1...

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Q: 2 x + y + z = 2 −3x+3y−3z= 9 −x +7y +3z = −11 Compose the augmented matrix corresponding to this SLE...

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Q: Find the intensity of a 80 dB sound. ... W/m? (Type your answer using exponential notation.) %3D

A: The given data is: To find the intensity of 80 dB sound. Therefore, the sound level SL=80 dB

Q: 1) A coin is tossed 3 times. Find out the number of possible outcomes. a) 2 b) 3 c) 6 d) 8

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Q: For what value(s) of k, if any, will the system have no solution, a unique solution, and infinitely ...

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Q: vithout the use of a calculator. Show steps when possible. logs log, 49 00001111 8 Bo logk In e7

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Q: Suppose yau are given the same process as Scenario C, except with buffers between each of the tasks ...

A: This is a problem of work and time. Based on the given capacity of the task we will calculate the am...

Q: Suppose the position of an object moving in a straight line is given by s(t) = 3t°- 5t +9 Find the i...

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