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

Q: Graph the logarithmic function g (x) = log₂ (x+1)+2. To do this, plot two points on the graph of the…

A: Please see the below picture for detailed solution.

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000121t…

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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: Solve the equation. 3 k+7 k +4 1 k+7

A: Let's solve the given equation.

Q: Simplify: 2 x²y³ +12/25 + 1 x³y²

A: We can simplify the given expression by using the cross multiplication method.

Q: For f(x)=x+4 and g(x) = 3x + 2, find the following functions. a. (fog)(x); b. (gof)(x); c.…

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Q: 5. What is odd and even function?

A: In this question we have to define what is odd and even function means.

Q: The figure below shows part of the graph of a function f(x) for x in [-7, 4]. Based on the graph…

A: Let's find stationary points from the graph.

Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below. 9 12…

A: The given matrix, A=912-6-9

Q: Let A be the matrix find p(A). (a) p(x) = x - 2 3 20 2

A: Let A be the matrix such thatA=3121To find pA if px=x-2

Q: Solve the equation x + 1 x - 1 x + 3 List all valid solutions, separated by commas. X = = - – 11 + 8…

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Q: Consider the following matrix. 41] 2 # A = 1 -1 1 1 4 0 Choose the correct description of 4. Find A¹…

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Q: 3* Consider three sets A, B, and C in a universal set U. Draw Venn diagrams of the following subsets…

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Q: Let M = 6 1 -2 9 Find formulas for the entries of M", where n is a positive integer. Mn -

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Q: Given A and b to the right, write the augmented matrix for the linear system that corresponds to the…

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Q: If y = 3 x + 1, then y 2 = _____

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Q: What is the solution to the inequality? 5(x -1)≥-4=

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Q: solve the given system of equations using the substitution method.  x+3y=6 2x+9y=15

A: Given Problem:-   solve the given system of equations using the substitution method.  x+3y=6…

Q: a. 1 Every linearly independent set of vectors in R4 has less than four vectors. If rows of an n x n…

A: A) both Matrix have equal rank , equal determinet , equal trace and also same eigen value so that…

Q: 1) Aneesa started practising her basketball free throws at home each day. As she practised she found…

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Q: 6 is 75% of what number

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Q: (a) Two functions are given as follows: f(x)=3x+2 2 g(x)= x-1 (1) (ii) Determine the function…

A: Given problem:- 2. (a) Two functions are given as follows:            f(x) = 3x + 2           g(x)…

Q: 0.029t The exponential model A=722.8 e describes the population, A, of a country in millions, t…

A: Here, the given exponential model is A=722.8e0.029t describe the population in millions of the…

Q: A rope is used to support a flag pole. The rope is attached to the top of the 42 ft pole and…

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Q: Simplify the complex rational expression: 1+ Xx X I 5

A: Let's simplify the  given expression.

Q: Which is an element of the subspace W=span{(1,1,0),(0,1,1)}? (2,0,-2) (-1,0,-1) (1,4,3)

A: Let's find elements of subspace.

Q: 9. Gage had $100,000 in a CD at Lots-a-Loot Bank, which just failed. If the FDIC insurance limit per…

A: Given data:- The amount Gage had in the credit deposit CD at the lots-a-loot bank that just failed =…

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

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Q: Simplify the expression X 1 x² 6 1 36

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Q: Solve the system by the addition method. 4x + 2y = 1 8x+4y= 2 TIE Select the correct choice below…

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Q: Solve the system by the method of your choice. 4x² + 5y² = 56 3x² - 4y² = 11 Select the correct…

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Q: An executive of Trident Communications recently traveled to London, Paris, and Rome.  He paid $180,…

A: Given:- Trident Communications recently traveled to London, Paris, and Rome and they pay $180, $230,…

Q: One-third of p is added to 8

A: Given: One-third of p is added to 8

Q: Given a triangle ABC, if A is 11 degrees, B is 49 degrees, and b is 45 cm, what is the length of a…

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Q: Which of the following pairs of vectors are linearly independent? u= (1,2) and w = (2,1). Ou= (1,0)…

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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: Use the table below for the conversion If a car can average 20 miles per gallon, how many kilometers…

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Q: Which of the following repr customary unit of weight? O Pound Feet

A: Topic:- measurements

Q: Determine the values of k such that the linear system below is inconsistent. kx + y   = 0   x + ky =…

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Q: Consider the following vectors in M₂x2 (R): 1 (63) 01 (19) (10) Determine whether A E span (B₁, B2,…

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Q: Including a 6% sales tax, an inn charges $143.10 per night. Find the inn's nightly cost before tax…

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Q: Investor Matt has $659,000 to invest in a CD and a mutual fund. The CD yields 6.7% and the mutual…

A: Given:- The amount to be invested by the investor,=659000$ The given CD yields =6.7% The average…

Q: The speed of a river current is 5 mph. If a boat travels 20 miles downstream in the same time that…

A: The objective of the question is determine the speed of the boat.

Q: Use the numerals representing cardinalities in the Venn diagram to give the cardinality of each set…

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Q: Determine the product C = AB if 4 6 -7 -5 1 -9 -3 11 A = B = [₁ -1 -13 3 -5 2 7 6 -4

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Q: What is the sales tax on a suit priced at $160 If the sales tax rate is 8.2%?

A: Given that the suit is priced at $160. For the rate 8.2%, we get the sale tax as           160· 8.2%…

Q: Solve: 1. (⁰ = 2. 3-1 3. (-5)4 4. (-5)-4 5. (-5)³ 6. (-5)-3 7. (-5)± vs -52 8. 092 9. 36 +29 10.…

A: Topic:- application of algebra

Q: Consider the set of data points: (-7,4), (-3,-7), (4, -7), (10, 8), (7,8). You must utilize the…

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Q: the following sequence arithmetic? 4, - 10, - 24, - 38, - 52, .... Select one: a. Yes b. No c.…

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Q: Factorise the following: 2x² - 4x + 2 x² 2x a) b) 15 x3x²16 x - 20 - c) d) e) Student Answer x² 6.x6…

A: The objective of the question is factoring the given equations.