A pair of points on the graph of an exponential function is given. Give a formula for the function, writing it in standard form f(t) = abt. f(t): (0,40), (6, 100)

Q: Solve the 2nd order differential equation. y'' - 2y' + y + x=0. Solve analytically using y(0) = 0…

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Q: How can we use our table of values to prove our relationship is proportional or not?…

A: The objective of this question is to determine whether the relationship between the variables X and…

Q: #]. Given f(x)=x²-x+9, find the average rate of change for the interval

A: F(x)= x22-x+1. In [1,4].

Q: A building contractor is building a backyard playground and wishes to put down rubber mulch to…

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Q: A game uses a single 6-sided die. To play the game, the die is rolled one time, with the following…

A: The objective of this question is to calculate the expected value of a game that involves rolling a…

Q: Use the change-of-base and a calculator to approximate the logarithm to 4 decimal places. log517…

A: Let assume,.

Q: Consider the following identity: n 2 2n Σ (1)² - (²). = k=0 (1) Perhaps it seems mysterious? But if…

A: The objective of this question is to determine the number of ways to sample n objects from a set S…

Q: Please answer the following question(s): 1. Solve for x using cross-multiplication: To type your…

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Q: 6 singles, 7 fives, 4 twenties, and 3 hundred dollar bills are all placed in a hat. If a player is…

A: The objective of this question is to calculate the fair price to play a game where a player randomly…

Q: The variables x and y vary inversely, and y=5 When X=4. Write an equation that relates x and y Then…

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Q: Find the general solution of the given system.using matrices dx/dt = -5/2x + 4y dy/dt = 3/4x-3y

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Q: 1. Find the quadrant of each point and the angle each of the points make with the positive x- axis…

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Q: Find two numbers a and b such that the following system of linear equations is consistent dependent.…

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Q: Determine (a) the area and (b) the perimeter of the quadrilateral. Note that the figure is not drawn…

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Q: convert 6.66666667 to mixed number

A: Given that the number6.66666667 we have to find mixed number

Q: Multiply using the rule for the square of a binomial. (x+11)²

A: Rule for square of a binomial is:                     ...(1)

Q: Use your knowledge of the properties of logarithms to match equivalent expressions: m logb (77)…

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Q: Find a basis of the given subspace by deleting linearly dependent vectors. (884) span of A basis is

A: The given set of vectors .We have to find the basis for the given set.

Q: A cylinder has a diameter of 16 feet and a height of 5 feet. What is the volume of the cylinder?…

A: A cylinder has a diameter of 16 feet and a height of 5 feet.

Q: Calculate the slope of the line passing through the given points. If the slope is undefined, so…

A: I have appended the formula used in the solution procedure

Q: (a) Construct a table of values for the function g (x) = 26(1.1)* for x = 0, 1, 2, 3, 4. Round your…

A: a0=1

Q: Determine (a) the area and (b) the perimeter of the quadrilateral. a. The area of the quadrilateral…

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Q: Answer the following questions related to the Rank Theorem and the Rank and Nullity Theorem: a)…

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Q: 200 raffle tickets are sold for $5 each. The person with the single winning ticket will get $61.…

A: The objective of this question is to calculate the expected value of a raffle ticket. The expected…

Q: Find the basic eigenvectors of A corresponding to the eigenvalue 1. A= = 3-4 6 0-1 0 -2 2 -4 λ = -1…

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Q: For the function f(x) = -6x +9 a. Find the inverse b. Verify by finding f(f-¹(x)).

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Q: A parabola can be drawn given a focus of (-5,0) and a directrix of y =8. Write the equation of the…

A: The objective of this question is to find the equation of a parabola given the focus and the…

Q: figure. The volume is (Simplify your answer.) Ional 8 in. 7 in. 2 in. 13 in. 2 in. 13 in.

A: Height of Trapezium = 2 inLength of  Trapezium base1 a= 13 inLength of trapezium base2  b=7 inHeight…

Q: A marketing research company is estimating which of two soft drinks college students prefer. A…

A: The question is asking us to interpret a 95% confidence interval for the proportion of college…

Q: Let f(x) = -3x³-7x² - 4x+8 and g(x)=7x³-6x²-7x-7. a) Find (f-g)(x) b) Find (f-g)(-1) a) (f-g)(x) =…

A: Given function :

Q: Find the domain and range. -5 10+ → 0 -67- 5

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Q: The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on…

A: Average rate of change of f(x)  on [a,b]Average rate of change of f(x)=f(b)−f(a)b−a

Q: Solve the proportion. x-5 2 || O {114} 7 20 43 10 75 7 O57 10

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Q: Solve and check the equation. 1.4x + 4.3 = 0.6x - 1.94 O {-7.79} O {0.128} O {-7.8} O {-7.722}

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Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…

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Q: Use the FOIL method to multiply the binomials. (3x+2)(5x + 1) (3x+2)(5x+1)= (Simplify your answer.)

A: We need to evaluate :

Q: 3. A flagpole is situated at the top of a building 115 ft tall. From a point, P, in the same…

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Q: Find the domain and range. -5 +10+ -5- 0 LO LO 5

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Q: (b) (i) For which values of x in the table is g(x) < 31.46? O x = 0 and x = 1 O x = 2, x = 3 and x =…

A: To find the value of X for which g(x) is less than 31.46

Q: Andrews chocolate cake recipe calls for 3/4 cup of butter, but he has 2/3 cups of butter. What…

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Q: 1. The graph below shows the concentration of a drug (in mg/L) in the bloodstream, t hours after it…

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Q: 4x²-16x + 16

A: Given that the expression we have to find the difference of square formula

Q: Use the formula for Pr to solve the following question. A club with five members is to choose three…

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Q: Simplify. Do not use negative exponents in your answers. a. 2-3 b. 5(x²y³)⁰

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Q: Let f(x) = 3x³ - 8x² + 4x + 6. Find f(0). f(0) =

A: we are given the function and we need to find out the value of the function at x=0.

Q: Find the inverse of the given nonsingular matrix. 1-1 1 0-2 1 -3-40 The inverse of the matrix 1-1 1…

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Q: For the function f(x) = 2x + 5 a. Find the inverse b. Verify by finding f(f-¹(x))

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Q: a) $100 is invested at 6% interest, compounded semi-annually, for 10 years. b) $180 is invested at…

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Q: a) x-intercept: c) Domain: b d

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Suppose that the augmented matrix of a system of linear equations for unknowns x, y, and z is 1 4. 2…

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