Prove the identity: cot(A + B) cot(A - B) = cot² B tan² A tan² A cot² B-1 -

Q: Calculate the rate of simple interest per annum offered on savings of $4,500.00 if interest earned…

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Q: f(x) = 3 = x²; X x = 4, x = 4 +h 4

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Q: Calculate the net profit margin for a sweater sold for $10 that has a $5 cost of goods sold and 20%…

A: $5 cost of goods  20% operating expenses i.e. 20% of $10 i.e. $2

Q: The binary operation ab=a+b-3ab is defined on Q. Select the correct statements. Select the correct…

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Q: In San Francisco, the tax on a property assessed at $780,000 is $12,480. If tax rates are…

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Q: Solve the system of equations 3x + 2y = -7  2x + 4y = 6

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Q: f(x)=√x and g(x) = 7x+4, find the following composite functions and state the domain of each. (b)…

A: Topic = Functions

Q: Find one possible missing coordinate so that the point becomes a solution to the given inequality…

A: Let's find point of solution.

Q: Silvia has just obtained a 30 year home mortgage in the amount of $299,000 at an APR of 4.5%. a.…

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Q: K What bearing and airspeed are required for a plane to fly 770 miles due north in 3.5 hours if the…

A: We have to find speed of plane in this question.

Q: d cubed minus the product of 8 and p plus 9

A: We will express this statement with mathematical notation.

Q: YOUR SITUATION: The senior class of Serious Tech High School decided to have an ice cream party.…

A: Given data:- Number of students in class = 80 Numbers of flavors of ice-cream provided by school = 3…

Q: Determine whether D is a linear transformation D: C (TR₁PR) → C (R. R) D(f) = dk df

A: Note that, the function T is called linear if T(x+y)=T(x)+T(y)&T(kx)=kT(x)

Q: Find one possible missing coordinate so that the point becomes a solution to the given inequality.…

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Q: Question 7 A Logistic firm purchases a particular type of cargo plane for $50 million. The company…

A: 7. Given:

Q: Fill in the blank to make each statement true. Use correct notations. 12T 5 1. sin sin

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Q: (f) Euclidean distance is defined as the distance between two points. Calculate the Euclidean…

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Q: Suppose T:R³→R³ is the transformation given below. Determine whether T is one-to-one and/or onto. If…

A: The give linear transformation T:ℝ3→ℝ3 is defined by  Tx0x1x2=5x1-5x23x1-3x2x0-3x1+3x2

Q: Given that the consumer price index was 82.4 in 1980 and 215.3 in 2008, find the price in 2008…

A: Given, Consumer price index in 1980= 82.4 Cost of new car in 1980= $ 15999 Consumer price index in…

Q: Selena and Dustin have a pre-approved mortgage for $249 000. The current annual interest rate for a…

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Q: Find the solution set of the following. 1. 2e²x - 3e¹+1=0

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

Q: Describe all numbers that are at a distance of 5 from the number 6. Express this using absolute…

A: Given:      Let us assume x∈R. Absolute value:     Absolute value is a method to express distance in…

Q: The Johnson & Johnson Company operates 6 identical machines that serviced by a single technician…

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Q: 01 L₁ A₁-(₁)-(3) (94) Let and B = 2 -2 13). 0 Which of the following matrices are defined? B² OBXA…

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Q: 6. Find a matrix P that diagonalizes A 3 3 -5 3 3 3 -3 1

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Q: - Find the inverse function for f(x)=X-7. Determine the domain and range of x+5 both functions.

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Q: What is the domain of the following rational expression (include all types of restrictions) :…

A: Given problem:-

Q: log16 x5 = log64 125 - log4 √x

A: Given Equation log16x5 =log64125- log4x And log16x2 = 5 log16xlog64125 = log45 =log1625

Q: 3) The distance between 3+i 3+i 2-i 2+i and 3+2i 1-i 1+2i 3+2i is: [1] [3+1] i]

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Q: U Let B = [u, v] be a base for V = R2, where u = (1, 2) and v= (-1,1). We know that every vector w…

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Q: Solve the system of equations. x^2 – y^2 = 4 x^2 + y^2 = 6

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Q: 40 is what percent of 320

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Q: Use an inverse matrix to solve the given system of equations. x1 = x2 = X₂ = X1 + X3 X₁ + x₂ + x3 =…

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Q: Determine the harmonic mean of the first 4 terms of the sequence: 3, 5, 7,- a. 6 b. 5.08 c. 5.12 d.…

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Q: Use the Saving for Retirement information above to answer this question. You decide to deposit $180…

A: Given data:- You have to deposit $ each month, P=180$ The retirement fund earning is,…

Q: Linda and Casey have a $126 000 mortgage at 5.15% per year on their two-bedroom house. Determine the…

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Q: Do as indicated. 1. Sketch the solution region of f2r-y-1>0 (x - 5)² + (y + 1)² ≤ 25.

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Q: EXER 4.7 | LINEAR ALGEBRA Find the desired determinant. d e f a b C Ix-a y-b z-cl a b C Given that d…

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Q: The after tax price of your new car is $28,999. If a 4% sales tax was charged. What was the pretax…

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Q: What is the measure in degrees of the angle A = 7π / 6 radians? Select one: a. 210 º b. 120 º c.…

A: we have π radians = 180° hence 1°=π180 radians

Q: Fill in the blank to make each statement true. Use correct notations. 1. If f(x) = 1 - log, x, then…

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Q: Write a system of equations for the following. Then solve. Make sure to identify the variables.…

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Q: Answer the folowing if it is: ALWAYS TRUE, SOMETIMES TRUE or NEVER TRUE. (a) If A is invertible and…

A: To answer whether the statements are true or false.

Q: Let A- - (2-1) and 11 II Which of the following matrices are defined? B2 A2 79) BX A AXB

A: Here, the matrix A has order 2×2 and matrix B has order 3×2. Note that a square matrix has order n×n…

Q: 5. Suppose n is a positive integer. (a) (b) Show that for any 0₁, not linearly independent. Rn. Show…

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Q: The weight of an elephant is equal to 4 tons. Find the weight of the elephant in ounces. O 128000 O…

A: Note that, 1 ton =32000 ounce

Q: In a vector loop equation, if a vector is multiplied by a j term, what does it imply? How many…

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Q: 1. 2. rning Find first derivative and second derivative of dependent variable a.y=x²+x+8 b. y=-x²+3…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the equation to the line below. y = [?]× X Enter + or - to indicate if your answer is positive…

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Q: Which is a basis for R^2?{(1,-1),(-1,1)} {(1,−1),(1,1),(−1,1)} {(2,−1),(1,−1/2)} {(2,−1),(−1/2,1)}

A: Please see the below picture for detailed solution.