m and m + 8, find the value of k. 7 Given the roots of the quadratic trinomial 3x + 2x + k are

Q: If y varies directly as x and y = 0.5 when x = 6, find the constant of variation k and then…

A: y ∝ xy = kxgiven that;x=6, y=0.5y=kx0.5=6kk=0.56k=112 =0.0833when x=10,y=1012=56=0.833

Q: Given 100 (1 + 0.02 ) 72 choose the right word for each expression. 12 1. minuend 2. factor 12 is a…

A: Follow step 2

Q: Q6. Identify the incorrect statement in the following: A. If e* = 2 then x = ln 2. B. If In x = 2…

A: We have to find incorrect statement from the given. Here we use properties of  natural logarithm…

Q: The length of a rectangular box is 2 times its height, and its width is 6 ft more than its height.…

A:

Q: Herb earns $10.15 per hour for the first 40 hours per week and $15.25 per hour for overtime hours.…

A:

Q: Prorate the following and find the monthly cash flow. Assume 4 weeks in a month. Hint: calculate all…

A: Cash Flow = Cash in - Cashout  Given monthly income = $3300  Cashout = Total Monthly expenditure

Q: C. Logarithmic on one side log, x+ log, (x– 3) = 2 | 6.

A:

Q: The table represents a linear function. y -2 -2 -1 1 4 1 7 2 10 What is the slope of the function?…

A:

Q: A pencil box and a notebook together cost $5.98. The notebook costs $0.40 more than the pencil box.…

A:

Q: Match the graph to the function listed whose graph most resembles the one given. 5) 5) I] A)…

A:

Q: Evaluate the limit. lim (1 - 8t) -23 Justify each step by Indicating the appropriate Limit Law(s).…

A: We have to find the limit

Q: Alan decides to buy a home. He takes out a mortgage of $400,000 with an interest rate of 4.6%.…

A:

Q: State if the scenario involves a permutation or a combination. Then find the number of possibilitie.…

A: topic - permutation and combination

Q: A3. (a) (i) Express 2ln x – ln √x as a single log in its simplest form.[

A:

Q: 27. Diagonalize the following matrices, if possible. [1 (a) Г5 1] (b) 0 5 [3 (c) [1 5 [2 3] (d)

A:

Q: 2. Find the Taylor series generated by f(x)= e* at a = 2 49

A: I am attaching image so that you understand each and every step.

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

A:

Q: Which graph represents the periodic function f(x) = 2 cos(30)?

A: Topic :- trigonometry function

Q: Find the equation of the parabola with the given focus and directrix. Focus (4, - 2), directrix y =…

A:

Q: 14. Find the sum. 84,396 + 29,760 19, Find the difference. 73,850 – 23,559

A:

Q: Evaluate L{3t^4-2t^3+4e^(-3t)-2sin5t+3cos2t}

A: L3t4-2t3+4e-3t-2sin(5t)+3cos(2t)=L3t4}-L{2t3}+L{4e-3t}-L{2sin(5t)}+L{3cos(2t)…

Q: Determine whether F(x, y) = e cos 9y i – e" sin 9yj is a conservative vector field. If so, find a…

A:

Q: [2-3i 5 + 8i 3 – 7i | 9. Find (2 + 3i) A if A = -4 L-6- i 5i

A: We can solve this as follows:

Q: 25-x^2  Factor each sum or difference of sq root/cube

A: To find difference of sq root / cube.

Q: Given 0≤θ<2π, solve cos20 = 1 - sin0. a. π/2, π b. 0, π/2, π, 3π/2 c. π2, π, 3π/2 d. 0, π/2, π

A:

Q: 18. Find the product: .[81] A. 1 10 B. [g] 3 2 c. [1] D. [3]

A:

Q: Decide whether line 1 and line 2 are parrallel, perpendicular, or neither by finding then comparing…

A:

Q: shorter

A:

Q: 2) Which equation most likely represents the graph? 2. a) (x-2)2- 2 b) (x-3)2-2 c) (x + 3)2-2 d) x2…

A:

Q: A function that converts dress sizes in the United States to those in Europe is given by D = f(x) =…

A: Here, the given function that converts the dress sizes in the United States to European is:…

Q: A bacteria culture initially contains 2500 bacteria and doubles every half hour. Find the size of…

A:

Q: 3. Which trigonometric function is represented in the graph below? 2.5 -2 15 0.5 -2m3 -mi2 -mis -m6…

A:

Q: -3 The vector 0 is an eigenvector for A below. What is the corresponding eigenvalue? 4 -1 6 A=2 1 62…

A:

Q: Given 0≤θ<2π, solve cos20 - cos0 = 0

A: Given query is to solve the trigonometric expression.

Q: [2-3i 5+8i] 9. Find (2+31) A if A- -4 1-6-i 3-71 5i 10. If A is an n x n matrix, which of the…

A:

Q: 6x7-8x+4r+ 2r3

A: Given query is to factor out the GCF.

Q: 6. Use the Remainder Theorem to find f(-1/3) if f(x) = 6x5 – x4 + 11x3 – x + 51

A: Given

Q: Starting with the graph of f(x) = 4ª, write the equation of the graph that results when: (a) f(x) is…

A: Here we have to use the concept of transformation of graphs.

Q: Which one of these is equivalent to 4s  2s+(6s/2) 2s^2/s 1/2(2s+6s)

A: 2s+(6s/2) we know that 6 divides 2 is 3 (6/2 = 3) 2s+(6s/2) = 2s +3s =5s     2s^2/s we know that  s2…

Q: Given that A and B are n×n matrices such that det(A) = 2 and det(B) = −3, find det(A−1BT) ).

A:

Q: Determine whether it is possible to multiply the following matrices. If​ so, what is the dimension…

A:

Q: Determine the x- and y-intercepts on the graph of the equation. 1) y = 7x+3 7 A) x-intercept is…

A: Given equation is y=7x+3we know that x-intercept is where a line crosses x-axis and y-intercept is…

Q: Evaluate each geometric series described. 1) a, = 3, r=-2, n= 10 %3D 2) -2 – 4 – 8 – 16..., n = 6 A)…

A:

Q: Suppose you make a single deposit of $8000. Calculate the amount of money you will have in the…

A: Solution is given below:

Q: 5. Compare and contrast the graphs of sine and cosine using terms like amplitude, period, minimum,…

A:

Q: Use the graph to determine the following. a. the function's domain b. the function's range c. the…

A:

Q: Solve the system with the addition method: 6z + 2y %3D -30z- 10y - 25 %3D Answer: Enter your answers…

A:

Q: Evaluate the function for the given values. g(x) = -9[ x + 4 ]] + 4 (a) g (b) g(5) (c) g(-4) (d)

A:

Q: State if the scenario involves a permutation or a combination. Then find the number of…

A:

Q: K R +B G+ If all the graphs above have equations with form y = ab", %3D Which graph has the largest…

A: Given problem:-