Use the binomial formula to find the coefficient of the 1¹5p³ term in the expansion of (t-3p) ¹8. 3 18

Q: Solve by back substitution. y = 1 x-y-z=6 2y+z= -5

A: Given equation can be written as,Now write this in matrix form,

Q: Evaluate each expression using the values given in the table. - 1 2 - 2 3 20 X f(x) g(x) a. (fog)(1)…

A: The function values are given in the table.The aim is to find the value of the following,(a) (b) (c)…

Q: Solve the equation. Round your answer to three decimal places. y = pd = i 2 (10 + 11) = 8-9(1-10)

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Q: Suppose that the augmented matrix of a system of linear equations for unknowns x, y, and z is 1 0 -…

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Q: Find the characteristic polynomial of A. Use x for the variable in your polynomial. -2 -8 10 -8 0 3…

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Q: K Factor the trinomial 15p ³ - 17p³t+4² Select the correct choice below and, if necessary, fill in…

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Q: 9. [-/50 Points] DETAILS Let P(t) denote the profit made by a company when t dollars are invested in…

A: The question is asking to explain the concept of marginal profit, how it affects investment…

Q: 12. A toy cannon ball is launched from a cannon on top of a platform. The function h(t) = -5t² + 15t…

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Q: The exponential model A=865.1e0.026 describes the population, A, of a country in millions, t years…

A: Given that the exponential model  describes of population,A,of a country in millions t years after

Q: Find the exponential function that satisfies the given conditions. 18) Initial value = 38,…

A: Initial value=38Rate of increment=10% per year

Q: 4. A rectangular frame has length 7 in. longer than its width. What is the length of the frame if…

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Q: 1. The graph of a toy car's speed y over time x is a parabola that shows a minimum speed of 2 m/s…

A: we need to write down the equation of the parabola for the given conditions.

Q: 5. A parabola has a focus of (4,-5) and the directrix is y = 8. Which of the following functions…

A: Focus= (4,-5)Directrix  y= 8

Q: Let B = b.v= 4 2 -1 a. λ = 3 is an eigenvalue of B. Find the corresponding eigenvector(s).…

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Q: Determine by inspection whether the given set of vectors is linearly dependent of independent. Do…

A: The given vectors are:

Q: ould you help explain how to solve these function inputs, I have trouble understanding fractions and…

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Q: Find an of the geometric sequence if a5 = 15 and a7 = 375.

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Q: Find the basic eigenvectors of A corresponding to the eigenvalue 2. A = 12 30 0 -4 -10 0 2 6 1 2 λ =…

A: We have to ifnd the eigen vector from the corresponding eigen value.

Q: Joe has 10 bills in his wallet. The total amount of money is $34, and he has only $1 and $5 bills.…

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Q: 1. Use the substitution method to solve the system of equations: 3x+y=1 5x+4y= 1 Solve for: X = y=…

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Q: Solve for x If there are multiple solutions, separate them with commas. If the two solutions are the…

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Q: Find a₁ and S for a geometric sequence with the values given below. a₁ = Sn || = 1 3' an = 8 81 " n…

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Q: Find the accumulated value of an investment of $15,000 for 4 years at an interest rate of 1.65% if…

A: Principal = $15,000Time = 4yearsInterset rate=1.65%

Q: For each ordered pair (x, y), determine whether it is a solution to the inequality x>2. (x, y) (8,2)…

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Q: m/4= degrees.

A: Given that the two parallel line we have to find the 4th angle

Q: A child's piggy bank contains 58 coins. There are only quarters and dimes in the piggy bank, and the…

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Q: 14 2 x + 7 (a) (fog) (4) (b) (gof)(2) (c) (fof) (1) (d) (gog)(0) Given f(x)= |x and g(x) = (a) (fo…

A: f(x)=|x|, g(x)=14/(x2+7)

Q: Supppose A is an invertible n x n matrix and Vis an eigenvector of A with associated eigenvalue 3.…

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Q: A store is having a sale on walnuts and chocolate chips. For 2 pounds of walnuts and 6 pounds of…

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Q: Solve the following equation. Write your solution in the box. 3 loge(2x + 5) = 12

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Q: he graph of an exponential function is given. Match the graph to one of the following functions 1)…

A: Here the graph of a function is given on the interval .

Q: 21) Initial mass= 14 g, decreasing at a rate of 3.7% per day A) m(t) = 3.7 0.86t C) m(t) = 14 1.37t…

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Q: if f(x) = { 3x+2, x≤2 x² Select one: O a. 6 Ob. not exist C. 8. O d. 4 then f(2)=

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

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Q: Suppose that A and B are independent events such that P (4)=0.40 and P(B)=0.50. Find P (ANB) and…

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Q: A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head…

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Q: Let f: Nx N → N be defined by f(n, m) = 2n-13m-1 for all (n, m) = N². (a) Is f injective? (b) Is f…

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Q: A collection of nickels and dimes is worth $2.85. If there are 9 more nickels than dimes. how many…

A: A collection of nickels and dimes is worth $2.85. If there are 9 more nickels than dimes.Then, to…

Q: Find the projection of u = onto v = .

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Q: Evaluate each expression using the values given in the table. X f(x) g(x) a. (fog)(1) d.(gof)(0) a.…

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Q: 1. Solve for x. Let Solution 1 be the solution with the lower value. Let Solution 2 have the higher…

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Q: The formula A = Pe describes the accumulated value, A. of a sum of money, P. the principal, after t…

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Q: Calculation Tip: Perform a series of reverse operations to isolate the variable you want to solve f…

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Q: Choose all factors of 21xy+18x+6xy^2 A. 2y+1 B.y+2 c.y+6 D.y+1 E.2y+3 F.x g. 3x

A: Consider the expression

Q: 13) Use systems of equations to work these applied problems. Dry Cleaning: Mario took clothes to the…

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Q: Find the unknown angle measure. Figure is not to scale. 64° xº

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Q: You randomly select a card from a 52-card deck. Find the probability of selecting a King or a 3.…

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Q: You buy a house for $350,000, and its value changes at a continuous rate of -9% a year. What is it…

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Q: Solve the problem. 36) Suppose $14,000 is invested with 4% interest for 5 yr under the following…

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Q: Where and how did you get 512x -120 + 8x, then 5x^2 - 50x? Break down 12/x + 8/x-10. I get this…

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