5. Determine whether or not matrix. A shown below is orthogonal and justify your answer. 10 0 1 30 1/20 5 | √3 2

Q: log5 (x+18)+log5 (x-6)=2-log5 (x)

A: The give logarithm expression log5x+18+log5x-6=2.log5x

Q: a42¹ For a given arithmetic sequence, the 3rd term, 93, is equal to -29, and the 42nd term, a Find…

A: Find the value of the 78th term

Q: Sarah, Kim, Ian, Larry, Eduardo, Jim, and Tyrone have all been invited to a dinner party. They…

A: We can find Number of ways and probability.

Q: what number should replace the question mark 472     361     589 396     587     421 518     429…

A: Given data 472     361     589 396     587     421 518     429       ?

Q: For a segment of a radio​ show, a disc jockey can play 7 records. If there are 11 records to select​…

A:

Q: You are dealt one card from a standard 52-card deck. Find the probability of being dealt an ace or a…

A:

Q: If possible, find AB, BA, and A2. (If not possible, enter IMPOSSIBLE.) 230], B = [-²] 4 = [ A (a) AB…

A: Answer: The solution is as given below:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: What

A: Please refer to the image below

Q: If A is a 2 x 3 matrix, and B is a 3 x 4 matrix, how many columns does AB have? Select one: O a. 2 O…

A: We will find the required.

Q: 30 317 Las 565 13 - 1 ม

A: Given data:- 168125=?4565124=?

Q: Solve the following initial value problem: (xy-2x+2y-4)dx + xy dy = 0, y(1) 1 5

A: To solve the following initial value problem.xy-2x+2y-4 dx+xy dy=0, y1=15

Q: Solve for t using the square root property: (1 - 5t)² =

A: The solution is given below

Q: slope of x+4y=18

A: Given the query is to the slope of the line x+4y=18.

Q: Evaluate the factorial expression  7!/5!

A: Given problem:- Evaluate the factorial expression  7!/5!

Q: An investment grows according to the formula B = 8000 ✕ 1.0085t dollars, where t is time, measured…

A: answer is in next step. please give a like!!

Q: Jensen is in Year 7 and has decided to open a savings account to help him buy a PlayStation 6. His…

A: The Solution is given below

Q: Suppose that the function h is defined, for all real numbers, as follows. h(x) = - 1 -5 if x = -2 h…

A:

Q: Salvador started biking to the mall traveling 15 mph, after some time the bike got a flat so…

A:

Q: Consider the equation sin 2x-ex=0.- a) By sketching two familiar functions, show that this equation…

A:

Q: whether

A: 9 € {1,3,5,7} Here,

Q: Use an inverse matrix to solve the system of linear equations, if possible. (If there is no…

A:

Q: If possible, find AB, BA, A². A = [33 35 -B = B = [¹²₁ =16

A: Topic:- Matrix algebra

Q: 1. A concrete-mix company received a contract for a new apartment building site. Rocks are being…

A: Given,

Q: What is the x-intercept of the line with slope -1 and y-intercept 1?

A:

Q: Find the eigenva

A: Topic:- matrix algebra

Q: flies

A: Please refer to the image below

Q: If possible, find A + B, A- B, 2A, and 2A - 4B. (If not possible, enter IMPOSSIBLE.) -1 -1 1 [1] =…

A:

Q: The formula for calculating the sum of all natural integers from 1 to n is well-known: n² + n 2 Sn =…

A: Given:  Sn= 1+2+3+.......................+n = n2+n2and,Qn=1.1+2.2+3.3+...............+n.n=n33+n22+n6

Q: Use the formula for nCr to evaluate the expression. 10C4

A:

Q: The figure on the right shows the intersections of four one-way streets. Complete parts (a) through…

A: Please see the below picture for detailed solution.

Q: Solve using the quadratic formula: 6x² + 11x - 35 0 Choose all correct solutions. 4 0 O-11-30√61 12…

A:

Q: Simplify each expression, and then evaluate. 10⁰ a) (3³) (3²) b) (-2) ¹2(-2)-10 d) 106 (76) (7-³)…

A:

Q: b) Let T: R³ → P₂ be a linear transformation defined by T(a, b, c) = (3a + 3b) + (−2a + 2b - 2c)x+…

A: The objective is to solve 4b.

Q: Exercise 5.4.1 For each of the following subspaces of R4, find a basis and determine the dimension.…

A:

Q: 43 For a given geometric sequence, the 11th term, a₁, is equal to and the 14th term, 9₁4, is equal…

A: Given in a geometric sequence, the 11th term a11=4316 & 14th term a14= -172we know that an=a1.r…

Q: In an arithmetic sequence, the first term is -8 and the sum of the first 20 terms is 790. a Find the…

A: Given data:- The first term is -8 The sum of first 20 terms is 790

Q: 11.) Solve the system of linear any equations and check Solutions algebraically. 2x+y=z=3 x-2y +…

A:

Q: Which pair of equations below represents two lines that are parallel? Select one: O a. y = 3x - 2…

A: The objective of the question is choosing the parallel lines.

Q: If f(x)=x²-2x + 1 and g(x) = 4x, find f(g(x)) Select one: a. 16x²-8x + 1 O b. 4x 3-8x² + 4x O C. c.…

A:

Q: Find the quadratic function f(x) = ax² + bx+c for which f(1) = -19, f(-2)= -28, and f(2)= - 44. What…

A: The solution is given below

Q: Find an equation for the line perpendicular to y=-1/3x+6 with x intercept at x=4. Answer in y=mx+b…

A:

Q: Suppose that the function g is defined on the interval (-2.5, 1.5) as follows. -2 if -2.5<x< -1.5 -1…

A:

Q: Complete the table below using the exponential growth formula. Original Growth Rate per Amount Year…

A: Follow the procedure given below.

Q: Exercise 6.1.5 Let u ER" be a fixed non-zero vector. The function T defined by T(v) = u + v has the…

A: Definition of linear transformation

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A:

Q: Danni wishes to buy a new caravan valued at $35,000. Having won $18,000 from her Tatts Lotto ticket…

A: Please refer to the image below

Q: A bagel store orders cream cheese from three suppliers, Cheesy Cream Corp. (CCC), Super Smooth &…

A: We want to find order each supplier got.

Q: Determine the time necessary for P dollars to double when it is invested at interest rate r…

A:

Q: Evaluate (x + 5)(x − 1)(x − 2) (x - 1)(³) — 2(x − 1)(²) O A (x − 1)(³) + 2(x − 1)(²) (x − 1)(²) —…

A: