Solve: a) logbase5 (2x – 1) = 3 b) logbase4 (3x – 5) = logbase4 11 + logbase4 2

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A: We have to find the time required.

Q: Peaceful Travel Agency offers vacation packages. Each vacation package includes a city, a month, and…

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Q: 2. Answer the following multiple - choice questions regarding the graphs of sine, cosine, and…

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Q: If there are 2.2 pounds in 1 kilogram, how many pounds are there in x kilograms?

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Q: etermine the quadratic function whose 22- -10 10 (-2,-2 (0,-6) -22

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Q: *+x-30 Given f (x) = x-5

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Q: Factor Complere ly Hthe paynunmial.is nat fuclorade, write prime. 2.

A: Given,  15 a2b-10 ab2

Q: Let r be the distance from the origin to the point (x, y, z) in 3-D space, so that = x + y + z.…

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Q: what is the vertex of f(x)=|x+8|-3

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Q: Graph the exponential function. f(x) = 3* Plot five points on the graph of the function. Then click…

A: To find: Graph of the function 3x

Q: Consider the group D4 and the subgroup {I, F}. List all the left cosets of H (with all the elements…

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Q: Demand for a certain kind of SUV obeys the following equation, D(x, y) = 21,000 -Vx – 13(0.9y –…

A: Find your answer below

Q: Using the substitution method, find the solution to this system of equations. Be sure to show your…

A: Use substitution method for solving.

Q: 7. х*-7ку +10у* 8. бх'у + 5ху-у

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y =-x+6x-5. If there is…

A: Given query is to find the  x intercept and the vertex of the parabola.

Q: A law firm is going to designate associates and partners to a big new case. The daily rate charged…

A: Let variable x represent the number ofassociates, assigned to the case, and variable y represent the…

Q: Solve using the method of undetermined coefficients y''+ 3y = -48x²e^3x

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Q: The ratio of the 8th and 3rd term of a GP is 243. What is the common ratio of the progression?

A: Given, The ratio of the 8th and 3rd term of a GP is 243.

Q: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

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Q: Let f : R → R³ be defined by f(x) = (5x, –5x, 5x). Is ƒ a linear transformation? a. f(x + y) f(x) +…

A: A) f(x+y) = < 5(x+y), -5(x+y) , 5(x+y)>  And than  f(x)+f(y) = <5x,-5x,5x> +…

Q: Find a basis for the subspace of R4 spanned by S. S = {(2, 5, −3, −2), (−2, −3, 2, −3), (1, 3, −2,…

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Q: A one-to-one function is given. Write an equation for the inverse function. m(x) =4x+2 m 口回

A: Write x in terms of y

Q: :h(x) = f(g(x)) %3D 1) h(x) = x2-5 2) h(x) : +3 x2-7 3) h(x) = (x2 + 5x – 1)700

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: baisis for the subspace of K of Find that consists of all vectors of the forMm Ca, b, c,d) d= a-7b.…

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Q: 5. xt 68+49=180 X+7=180 m21 = 63° 41° m22 = 49° メ=63 m23 = 49° m24 = %3D 4 2 103° 68° 3. m25 = 10°…

A: Since vertical opposite angle are equal. And using sum of all angle of triangle is 180° .

Q: A sports ball has a diameter of 7cm. Find the volume of ball

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Q: 5. The height of a drone in m over time in minutes is given by f(x) = 3 - log ,(x - 1). The height…

A: Given query is to find the time when height of the drone will be same.

Q: Find all solutions, real and complex, of the equation. - 125 %3D O a. X = 5, x = (1-31), x= -(1+5) O…

A: This question can be solved by applying the concept of quadratic equation and complex number.

Q: Gary is paid $15.50 per hour in addition to a weekly salary of $50. This week he wants to earn more…

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Q: A $180,000 mortgage was amortized over 25 years by monthly repayments. The interest rate on the…

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Q: A vehicle purchased for $20700 depreciates at a constant rate of 9 % . Determine the approximate…

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Q: Find a basis for the subspace of R* consisting of all vectors of the form (a, b, c, d) where c = a +…

A: To Find: Basis for the subspace of R2  of the form (a,b,c,d) such that c=a+7b and d=a-6b

Q: (a) Identify the horizontal asymptotes (if any). (b) If the graph of the function has a horizontal…

A: We have to find the horizontal asymptote of the given function.

Q: The quadratic function which describes the given graph is f(x)= (Type an expression.)

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Q: A spinner can land on either red, blue, or green. In a standard deck of 52 playing cards, there are…

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Q: 16 quarts to 7 gallons as a fraction in simplest form

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Q: The populations P (in thousands) of Horry County, South Carolina, from 1971 through 2018 can be…

A: Given: P=75.9e0.0316t where t is in years, with t=1 corresponding to 1971. (a) For 1980 t=10,…

Q: Four different linear functions are represented below. Function 1 Function 2 104 y 8- -2 -7 - 1 -2…

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Q: A rocket is fired upward from some initial distance above the ground. Its height (in feet), h, above…

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Q: も+5t t<1 then 3t +2 t 1 (a) Given that f (t) = 3 (b) While evaluating , 13x + 6|da 3 Round of to 1dp…

A: topic - definite integral

Q: In Exercises 5-6, find a matrix that generates the stated weighted inner product on R². 5. (u, v) =…

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Q: In Exercises 16-21, determine whether the given matrix is orthogonal. If it is, find its inverse. 0…

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Q: The graph below shows a transformation of y = 2". -5. -4 -3. -2 I 2 3 4 5 -2 -4 Write an equation of…

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Q: The Research and Development Department of DWR Ltd has developed new game consoles: zbox and ybox.…

A: Production Line zbox ybox Total time (hr) 1 15 20 340 2 18 17 400 3 22 10 380 Profit $150…

Q: Dodiameter (m) deluxe D=27mm %3D =27mm 1000m 0:027m A=dred 4 A- (0.027) =

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Q: (In 2z - 1) – 25z(In Given the function f(z) = f t In t – tdt then by using the fundamental theorem…

A: Given problem:-

Q: Example 3 Find K (t) for the circular helix x= a cos t, y = a sin t, Z = ct where a > 0.

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Q: If two cats eat a kilogram of cat food in 4 days, how long will it take for 5 cats to eat 25kg of…

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Q: 3000 dollars is invested in a bank account at an interest rate of 9 percent per year, compounded…

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