The number of a certain type of bacteria, y, present in a culture is determined by the equation y=2000(4)x, where x is the number of days the culture has been growing. Find the number of bacteria present after 6 days.

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Q: 1) Write the first four terms of the sequence an = n³.

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Q: Suppose that the functions u and w are defined as follows. u(x)=x² +6 w(x)=√x+9 Find the following.…

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Q: The sequence given is defined using a recursion formula. Write the first four terms of the sequence.…

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A: The given matrix is  A=7 2     2 4.

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Q: Assessment task 4.1 Graphs, Euler circuits, Hamiltonian circ Question 4 of 10 Determine whether the…

A: We need to show if graph are equivalent or not.

Q: If A₁ = [a, b₁ [d₁ e₁ fi 3 real numbers, show that: 9. (A₁ + A₂) + A3 = A₁ + (A₂ + A3) 10. (k+h) A₁…

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Q: 4. 5. 6. x² + 10x + 10 = -22 x² + 3x - 40 = 0 x² + 3x + 1 = 0

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Q: Use the properties of logarithms to write the logarithm in terms of log5(3) and log5(7).…

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Q: 17. Let A and B be 4 x 4 matrices, with det A = -3 and det B = -1. Compute (a) det(AB) (b) det (B5)…

A: Given,             Let A and B be 4 x 4 matrices with detA=-3 and detB=-1.

Q: Find |AI, IBI, AB, and IABI. -2 A 1 2 ] B = [2 -2] 4-2

A: a) A=(-2)(-2)-(1)(4)          =4-4           =0⇒|A|=0b) B=(2)(-2)-(4)(0)           =-4-0…

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Q: 3 and V₂ = Find A.

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Q: The first week, a patient engages in various exercies for 4 minutes every hour while awake. For each…

A: Explanation of the answer is as follows

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Q: Do the ordered pairs in the table represent a linear function? x 0 2 6 12 20 30 y -1 -1 -1 -1 -1 -1

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A: We can multiply and simplify the answer as below.

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Q: 28. Compute Ak where A = [4.-3] 2 - 3.

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Q: (i) a rotation by an angle of π/4 clockwise, (ii) an orthogonal projection onto the vector u = (1,…

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A: Given

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A: To determine which of the given two fractions is larger. 9/11 or 6/8

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A: Here we have to use the row operation method.

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Q: An Artifact contains 42% of the Carbon-14 that it originally had. How long ago was the artifact…

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Q: Suppose that the function f is defined, for all real numbers, as follows. 1 if x 1 Find f(-2),…

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Q: (a) Find the vertex and axis of symmetry of the quadratic function. (b) Determine whether the graph…

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Q: Use the appropriate property of determinants to find a. Do not evaluate the determinants. -13 23 -9…

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Q: solve the system using cramers rule, please show work/ 2x-2y-z=-20 4x+4y+z=14 6x+3y+4z=8 D= Dx…

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Q: (b) Prove that -1+²+...+x+ 1 is irreducible over Z if and only if n is a prime

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Q: Construct the truth table of [~(p ^ q)] V r

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Q: Find a basis for the null space and row space of A.   A=[1,5,7  −1,−4,−6  3,−3,3]

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Q: (1.0) Find the value of the integral defined 1 [²(t ; t ² ; e²) dt t;

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Q: Solve the linear system below c +4d = 6 a + 2b -a-4b + 2c + 2d = 4 2a + 2b c + 2d = 4 a + 2b + c = 4

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Q: Find the eigenvalues of A, and find a basis for each eigenspace. A: Select one: -2 + 4i,, A.-2-41,…

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Q: Write your own rational function that has a hole, but does not have a vertical asymptote. Make sure…

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Q: Prehistoric cave paintings were discovered in a cave in France. The paint contained 12% of the…

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Q: Solve for X in the equation, where A =    −4 5 3              −3   0 2and B =    0 4 −2   5 0 5.…

A: In this question we have to find the value of X.

Q: Which of the following is an eigenvector of the matrix below for the eigenvalue 1? 1 0.5 2 Y 010 0.5…

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Q: Find the equilibrium point of the demand and supply equations. Demand Supply p=530-0.5x p = 298…

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Q: (a) 2x 6 2005x3 + X = x-3 x-3 6 2x = x+3x+3 (b) 2--

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