Caffeine has a half-life of 40 minutes. Determine roughly how much time must pass until 6% of the caffeine consumed remains.

Q: Suppose that A is a 5 x 5 matrix which has a null space of dimension 2. The rank of A is rank(A)

A: We have,5 * 5 matrix which has a null space of dimension = 2

Q: yt-VG+xz

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Q: Jada is planning a kayak trip. She finds an expression for the time, T(s), in hours it takes her to…

A: Solution:The domain of the function that represents Jada's trip is the set of input values the…

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Q: Find an equation for the graph sketched below f(x) = N 6- 65 -5 -4 -3 -2 -1 5- 4 3 S 14 T -2 -3 -4…

A: Using a parent function and given graph we can find its equation.

Q: The given values would be on which row of Pascal's Triangle? Explain how you would determine the row…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: How the markov matrix works? Please in details and don't copy paste

A: A Markov matrix, also known as a stochastic matrix or transition matrix, is a square matrix that…

Q: (-1, 1) relative min: absolute min: relative max: (2, 3) absolute max: (3,2) Determine the local…

A: Absolute Max and Absolute Min :We need to determine the points with the highest and lowest y -…

Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions. n =…

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Q: Find the rank and the nullity of the matrix rank(A) = nullity (A) rank(A) + nullity (A) = choose = A…

A: We have,  Matrix is given

Q: If 46200 dollars is invested at an interest rate of 8 percent per year, find the value of the…

A: is invested at an interest rate of percent per year .

Q: The volume of a sphere with diameter d is given by the equation V = /nd³. Find the diameter, to the…

A: v = (1/6) πd3v = 1000 ft^3

Q: Determine if the matrix below is invertible. Use as few calculations as possible. Justify your…

A: When the determinant of a Matrix is non-zero, then the matrix is invertible.

Q: A credit union client deposits $800 in an account earning 8% interest, compounded annually. What…

A:

Q: Let f(x) = 3x² + 20x + 25 2x² + 11x + 12 This function has: 1) A y-intercept at the point 2)…

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Q: 44 # Use the fact that 1 4 The solution is x = and y = | (Type integers or simplified fractions.) -…

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Q: Part 1 Maggie, Brian, and Joe are solving a division problem with scientific notation. Maggie 6.89 x…

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Q: Use transformations of f(x)=x² to graph the following function. g(x) = -2(x+2)²-4 Select all the…

A: We have to find the transformations required to graph the g(x) using f(x).Graph of f(x) is-

Q: The Stanford-Binet IQ Test is a normal curve with a mean of 100 and a standard deviation of 20.…

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Q: Select the possible root combinations of a degree 8 polynomial. Select ALL that apply. 8 real roots…

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Q: A survey of a random sample of voters shows that 56% plan to vote Yes to the new proposition and 44%…

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Q: Determine the end behavior for f(x) As x→→∞, f(x) → 2 As x →∞, ƒ(x) → 2 As x →→∞, f(x) → −1 As x →…

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Q: Let V=R³ and let II be the subset of V of all points on the plane-5-6y +7z = 0. Is H a subspace of…

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Q: An education services company that offers tutoring for children (as young as one year old and adults…

A: We have to find the best claim that can be supported by the graphic.

Q: Use the graph to the right to complete the following. For the graph, tick marks along the axes…

A: X- intercept:  The value of x when y = 0Y- intercept: The value of y when x = 0

Q: The plot below represents the function f(x): 181 6 5 4- 3 2 1 -5 -4 -3 -2 -1 -1 -24 Evaluate f(1):…

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Q: Complete the information in parts A-F for the function f(x) = x³ + 2x². A. Degree The degree of the…

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Q: Find a basis of the subspace of R³ defined by the equation - 5x1 + 9x2 + 2x3 = 0. 80 Basis:

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Q: An exponential function f(x) = ab passes through the points (0, 5) and (2, 20). What are the values…

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Q: How is the negative sign used  in math and how it got started

A: How is the negative sign used  in math and how it got started?

Q: Show all work to verify if the given point is a solution to the system of equations. [3y² + 3x²=6 2…

A: Here, given system of equations Now we have to show that the point is a solution to the system of…

Q: 19. Jess received an equal number of R20 notes and R50 notes at an ATM. The total value of the R20…

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Q: Identify all local maximum and minimum values for the function f(x Local Maximum: (0, -6); Minimum:…

A: We have to identify all the local maximum and minimum values for the function

Q: Investments in junk bonds are declining continuously at a rate of 2% per year, How long will an…

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Q: (a) Determine the root of the equation 2x=cosx+3 correct to three decimal places.

A: To determine the root of the equation , correct to three decimal places.Note: Since the student has…

Q: While vacationing at a beach, Mike rents a bicycle. The rental fee for the bicycle includes $5.00 to…

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Q: 4 - The remainder when x² – 3x³ + 7x² – 2x − 3 is divided by £ — 1 is 0. What does this tell you…

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Q: Fredrick had some coupons to sell at a funfair. Each coupon cost $5, On the first day, he sold 264…

A: Given:Requirement of the question:

Q: Which type of study is best to use to determine the favorite TV show on a Monday night? Sample…

A: Here we askWhich type of study is best use to determine the favorite TV show on a Monday night ?

Q: Joseph knows that he paddles his canoe at 6 miles per hour in still water. One day, Joseph paddles…

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Q: The logarithmic function h(a) models the recommended chair seat height h, in inches, for a child…

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Q: 8. A team of Middle School students are preparing for Science Olympiad competition. They made…

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Q: An open box is to be constructed from a square sheet of metal with dimensions x feet by x feet by…

A: given the volume V of the box is ​V(x)=(x−2)^2.

Q: Find the quotient q and the remainder r if a = bq + r. (a) a=292 and b = 15 (b) a=546 and b=43 (a) a…

A:

Q: The GDP in Brazil is $2.05 trillion. The rate of inflation is 2.5%. If the population of Brazil is…

A: The GDP in Brazil is $2.05 trillion. The rate of inflation is 2.5%.The population of Brazil is…

Q: Which of the following piecewise functions matches the graph shown? 6 f 4 -1+ O O ƒ(x). ƒ(x). ƒ(x) =…

A: The given graph represents a piecewise function.We have to find its equation.

Q: A waste collection company determines that their current equipment breaks down paper into smaller…

A: A waste collection company determines that their current equipment breaks down paper into smaller…

Q: 45 ÷ b = 5 Are 45 and 5 constants because they are both terms without variables?

A: we have given equation "45 ÷ b = 5 "in this equation we need to find the constants.

Q: H(x)-g(x) H(x) = 18x^2+6x-24 G(x)=3x-3

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Q: 4. If you cut an 84 ft rope into two pieces with a ratio of 2 : 5 how long is the smaller piece?…

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