5. n(n+1) Find the sum of the series using the summation formulas. 1 k = 57 Σ(4k² - 12k - 50) Show your work! k=1 Σ=1 k2 = n(n+1)(2n+1) 6

Q: 2:1) Logs x=1-годы (х-4)

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A: The objective of the question is evaluate the value of "k".

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A: Two examples are given.

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Q: 1. Given the following matrices: [1 1 0 11 [1 1 2 1 2 1 0 1 0 1 4. a. [(AC) BT] - DT. b. [(BD) TCT]A…

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A: Given

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A: Topic :- probability

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Q: 1. What is the vertex of the parabola y = (x + 6)² - 9? O(-6,9) (6,9) O (-6,-9) (6,-9)

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

A: To evaluate: ∫01t; t12;etdt

Q: Find the average rate of change of the function on the interval specified. g(x) = 4x3 − 5 on [−3, 3]

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Q: 3 Given: q(x) = 6x and r(x) = 5x + 1 Find (r. q)(x)

A: We have to find the function

Q: The logistic growth function P(x)=901+271e−0.122x models the​ percentage, P(x), of Americans who…

A: The logistic growth function, Px=901+271e-0.122x models the percentage, P(x) of Americans who are x…

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A: topic - linear equations

Q: Evaluate: y Ps O 360 O 35 O 210 O 21

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Q: Find the following matrices where A = a. A+B b. A-B 47 c. - 5A and B 39 d. 2A + 3B

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Q: Learning Task 4: Read and analyze the problem carefully, then do what is asked below. Do it in your…

A: Learning task is given .  Read the activity carefully. Answer all parts

Q: Graph the solution to the following system of Inequalities. -4x-y≤0 2 x² + y² <1 X

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Q: Use the cofactor expansion to evaluate the following determinant. 3 -3 5 41 2 1 1 -2 0 0 4 3 ol ܚ ܠ…

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Q: Four functions are given below. Either the function is defined explicitly, or the entire graph of…

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Q: logistic growth function P(x)=90/ 1+271 e^−0.122x  models the​ percentage, P(x), of Americans who…

A: Given the query is to find the percentage of 68 year old who has heart disease.

Q: Write the standard form of an equation of an ellipse subject to the given conditions. Major axis…

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Q: Suppose that P dollars in principal is invested in an account earning 3.4% interest compounded…

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Q: Consider the following election.  This is not the same as the table above. Number of Voters 19 11…

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Q: Simplify. Write your answers in the form of a +bi, where a and b are real numbers. √3+3i 5-6i 15+6√3…

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Q: Write the equation of the graph after the indicated transformation. The graph of y=√x reflected…

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Q: Erik Allen repairs photocopy machines. According to his schedule, he needs to visit 5 different…

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Q: 10 In how many ways can one to put seven different colored balls into six identical boxes, if some…

A: Permutation and combinations

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A: This is the question of Combination.

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Q: 口 U 16. Choose the correct answer. Solve by completing the square. Check all that apply. x² + 2x=3…

A: x2+2x=3Adding 1 on both sidesx2+2x+1=3+1

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Q: Derek and Maria are now trying to predict how much money they will raise for their club from the car…

A: Part - A   Subtract cx from rx to obtain the profit function. px=rx-cx       =10x+50-0.5x+220…

Q: The exponential model A = 754.7 e 0.01t describes the population, A, of a country in millions, t…

A: Exponential Model , A = A0 eat

Q: For part (a), a 1-eigenvector of A for would also be correct) For part (h

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Q: Ashley and Dan are planning trips to eight countries this year. There are 12 countries they would…

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Q: 3. Solve the linear system below a + 2b − c +4d = 6 -a - 4b + 2c + 2d = 4 2a + 2b − c + 2d = 4 a +…

A: Let us write the Augmented  matrix 12-146-1-422422-12412104

Q: Ox=2 0=8 Ox=9 O2=0 1. Choose the correct answer. Solve. /8x-8=8

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Q: 10. Solve for t on the interval [0, 2π) (a) 2 cos² t-cost-1=0 (b) 2 sin²t-3 sint + 1 = 0 taol al (c)…

A: Given

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A: topic - rate and percentage

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Q: For the following exercise, graph the polynomial function. Note x- and y-intercepts, multiplicity,…

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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: . How many solutions x will the system Anxn x=b have, when |A] = 3 ?

A: Answer :-  We have to find number of solutions x will the system An×n x = b have , when |A| = 3

Q: Graph the function. f(x) = -4 - In x O A. Ау Q O B. АУ Oc. Ау С O D. С

A: Explanation of the answer is as follows

Q: This furniture business makes tables and chairs. In each chair, It takes three hours to make the…

A: We need to maximize the profit.