Use the formula for the general term (the nth term) of an arithmetic sequence to find the 50th term of the sequence with the given first term and common difference. a₁ =7; d=6

Q: 14. The vector x is in a subspace H with a basis B = {b₁,b₂}. Find the B-coordinate vector of x. (a)…

A: We can solve this as follows:

Q: How much tax will be collected on a luxury item costing $12,720 if the rate is 7% on the first…

A:

Q: Consider the matrix, -2 -1 -17 A = -3 0 π 0 0 3 a) Compute the characteristic polynomial and the…

A: Solving

Q: If a b = 3a - 2b and x 8 = 41, what is the value of x? 21 19 17 25/3

A:

Q: 4 Use synthetic division to find the quotient and remainder when x + 2x³ - 7x² + 5x + 12 is divided…

A:

Q: f d(x, y) denotes the distance between two points

A: answer is in next step

Q: 1. If f(x) = 3x + 9 and g(x)=x²-4, find: b) (fog)(2) d) (gof)(3)

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Q: 8. Simplify the following expression using the change-of-base formula: log27 729. ○ 2 O 01 0 3

A:

Q: Graph the function defined by y=L (x) on an appropriate viewing window. L (x) = (x-15) (x+8)…

A: We have to find the graph

Q: Solve for X in the equation, where A =    −4 5 3              −3   0 2and B =    0 4 −2   5 0 5.…

A: In this question we have to find the value of X.

Q: Let A(1, 2, 1), B(3, 1, 2) and C(2, 1, 2) be points in R³. a) Find the point-normal form of the…

A:

Q: Find the centroid of the triangle formed by joining the points A (3, 2), B (-1, 4), and C (5, -3).…

A: Explained below

Q: Find all real sixth roots of 64. If there are multiple answers, separate them with commas. Write…

A: Given problem:- Find all real sixth roots of 64.

Q: 72 A = 24 (a) x = (1, 0) O x is an eigenvector. O x is not an eigenvector. (b) x = (2, 1)

A: The given matrix is  A=7 2     2 4.

Q: Graph the inequality on the axes below. 3x + 2y > -2

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Q: then a 2 d det b 2 e с 2 f 5 d a det b 7 e C 9 f C = = and a 1 d a 1 d] ----- det b 1 e = -5, and…

A:

Q: 4. Determine 3 values for 5. Determine 3 values for such that cos- such that cos@-0

A: We have to find the solution for the trignometric equations.

Q: rolve the following equation. loga (x) + 109 a (x + 7) = 3

A: formulas used-logam +logan= loga(mn)if logam=kthen m=ak

Q: Graph the solution of the system of inequalities x + 2y ≥ 4 3x - 2y y ≤ 4 -2

A:

Q: 21) Find the value of y in the solution of the following system. 9x11y = 242 3x + 5y = -32 A) y =…

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Q: Which of the following is an eigenvector of the matrix below for the eigenvalue 1? 1 0.5 2 Y 010 0.5…

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Q: A pipe is filling a water tank. The volume of water, V, in liters, t minutes after the pipe starts…

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Q: The circle graph shows how the annual budget for a company is divided by department. Use this graph…

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Q: The base of a three-dimensional figure is bound by the graph y = cos(x) + 1 on the interval [-n, n].…

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Q: Determine the constant of proportionality, k, given y directly proportional to x  and y= 400 when…

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Q: If possible, find A + B, A − B, 5A, and 5A − 3B. (If not possible, enter IMPOSSIBLE in any cell of…

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Q: Given x(t) = t^3 − 3t + 1 y(t) = t(t + 1)  Find the value of t at points (1,0) and (3,6)

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Q: Answer only 4 and 5

A: answer is in next step

Q: Solve the system of linear equations and check any solutions algebraically. (If there is no…

A:

Q: 17. Let A and B be 4 x 4 matrices, with det A = -3 and det B = -1. Compute (a) det(AB) (b) det (B5)…

A: Given,             Let A and B be 4 x 4 matrices with detA=-3 and detB=-1.

Q: O Which graph represents the equation y -22 x-axis x-axis

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Q: Evaluate the following. 1 a) log√3 b) log² √b

A:

Q: Consider the system Choose h and k so that the system has (a) no solution (b) a unique solution (c)…

A: Given the system is x1 + hx2 = 2 4x1 + 8x2 = k

Q: Solve for 'x' : 5x-9 = 35

A:

Q: Find the inverse laplace of s+5 s²+5s-14 01/e²t - e-7t 2t Oet-e-t 7 0e²+ e-t O Oe-t-et 27t 0 ²/1 e ²…

A: To evaluate the inverse Laplace transform.

Q: Solve the system of linear equations and check any solutions algebraically. (If there is no…

A:

Q: mi h A boat carrying illegal drugs leaves a port and travels at 40- mi A Coast Guard cutter leaves…

A: Given problem:- A boat carrying legal drugs leaves a port and travels at 40mi/hr A Coast Guard…

Q: hildren went to the fair to ride the children’s Ferris wheel.  There was a toddler, a four-year-old,…

A:

Q: Find the value of x: i) 4log5 - logx = 3 ii) 100 x 10² = 1004 X = X=

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Q: Let a, b and C be all positive. Consider factoring ax²-bx+c. If the trinomial is factorable which…

A: Here, the given trinomial is: ax2-bx+c

Q: log.x X Y₁

A: Given;  logx[x/(y sqrt z) ].

Q: how many loaves

A: answer is in next step

Q: 6. In the graph below, what are all values of 2 for which y = 0? T el N N ● - 3, - 1, 0, and 2 O-3,…

A: from the given information in graph we find x intercept or value of x when y is equal to 0

Q: write an equivalent exponential equation. logp 9=q

A:

Q: Let A(1, 2, 1), B(3, 1, 2) and C(2, 1, 2) be points in R³. a) Find the point-normal form of the…

A: We are given points  A(1, 2,1), B(3, 1,2) and C(2, 1,2)  in  3-d plane R3. We have to find the…

Q: 2х + 5y 3x + 9y -1 -3

A: answer is in next step

Q: L A matrix is given. 1580 0165 0000 (a) Determine whether the matrix is in row-echelon form. O Yes O…

A: Solve the following

Q: Question 4 A Soccer Ball is marked up $16, which is 45 percent of the cost.                 (i)…

A: A detailed solution is given below.

Q: Write the following equation in logaritmic form: Please show work. e^y=x

A: We can find the answer as below

Q: Graph the solution of the system of inequalities -8 x+2y ≥ 4 3x-2y4 -6 x ≥ −2 y 4 -4 * -2 81 6 2 -2…

A: The solution of the system of inequalities  is the intersection region of the solution of the all…