Show that (k^2 * (k+1)^2)/(4) + (k+1)^3 is equal to ((k+1)(k+2)/2)^2

Q: In 1997, the population of a specific county in West Virginia was 100,000. By 2008, the population…

A: Given: So, we have P = 100,000 and A(11) = 116,058. Then the equation becomes…

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Q: A firms production function is Q(L) = 15L2 - 1L3 , where output (Q) is a function of a single input…

A: A firms production function is Q(L) = 15L2 - 1L3 , where the output (Q) is a function of single…

Q: 9. ABCD is a rectangle. If AC = 2x + 6 and diagonal BD = 10, what is x? A. 1 В. 2 C. 3. D. 4

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Q: 15 Juliene practiced her dance routine for twice as many minutes on Monday as she did on Tuesday.…

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Q: Given the matrix 2 1 5 C = 0 -3 9 0 0 1 Then |C|= -5 Select one: O True O False

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Q: Announcenvents -JMATH101 x A ALEKS - Antionette Thomas-Le x www-awu aleks.com/aleksogi/x/tsl.exe/1o…

A: Let's find.

Q: 7. It is still winter in Rochester, New York. The probability is 0.3 that it snows on a given day.…

A: lets assume event A = snow on day P(A) = 0.3 event B = temperature <20 F P(B) = 0.7 for…

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Q: As of 2010, Facebook was considered the world's largest social network. The number of Facebook…

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Q: 5x log V7- 5x

A: LetL=ln5y5x-237-5x7Apply log rule:  logcab=logca-logcbln5y5x-237-5x7=ln5y5x-23-ln7-5x7Apply log…

Q: Rewrite the exponential function g(x) = 3 . 5 - in the form g(x) = A · Bª A B = This function an…

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Q: 1. Let A = {a, h, g}, and B = {3,6}. Answer each of the following questions. %3D (а) Ах В (b) В х В

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Q: Find the value of x а. 8 x = 2 5x + 2 b. 5( x - 1) %3D 16 С. 16 x+2 64 2x - 1 %3D

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Q: SIMPLIFY THE FOLLOWING RADICALS V64x60 y14 z4 а. V81x20yl7 3 b.

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Q: 4 and v = 7. V•u -3 Compute u• u, v•u, and using the vectors u = u•u u•u = (Simplify your answer.)

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Q: Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible.…

A: Given query is to simplify the expression.

Q: 4. Graph the ellipse and identify the center, vertices and foci. 21 4(x + 5)2 + 9(y + 6)² = 36 1 2…

A: We have  to find out the vertex and foci

Q: Consider the following polynomial function. f(x) = (x + 4)°(x – 2)°(x – 1) Step 2 of 3: Find the…

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Q: Which sequence of transformations will yield the graph of g(x) 3"-9 + 2 !! O Horizontal shift 2…

A: The objective is to find which sequence of transformations is used .

Q: me

A: We have to find out how many total undergraduate attend the college.

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: Differentiate a quadrilateral inscribed in a circle, and a quadrilateral circumscribed about a…

A: To differentiate a quadrilateral inscribed in a circle, and a quadrilateral circumscribed about a…

Q: Rewrite the logarithm using the natural base. log3 (47) Preview Use a calculator to evaluate the…

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Q: In a race in which eleven automobiles are entered and there are no ties, in how many ways can the…

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Q: (e) There exist subsets A and B of N such that (A-B) n (ANB) = TRUE FALSE

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Q: 6). to 144 18 dy +66) 72°F 9-X 8. State the domain, vertical asymptote and slant asymptote of the…

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Q: (a) Suppose U is a subspace of V with basis u1,..., Um and suppose that u1,..., Um, W1,.., Wn is a…

A: As per as our guidelines i am supposed to answer only one question please repost second question .

Q: Suppose the probability that it will rain tomorrow is 0.28. What is the probability that it will not…

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Q: 3. equation of a circle with Center C(15, – 25) and radius r = 16.

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Q: Solue the rational inequality. Write the sala Set in interval notation.

A: Given query is to find the solution of the inequality.

Q: Solve the quadratic equation by completing the square. x-8x+9=0 First, choose the appropriate form…

A: (x+y)2=x2+2xy+y2(x-y)2=x2-2xy+y2

Q: 9. A rocket is fired upward from a platform and can be modeled using the equation h(t) = -16t² + 96t…

A: We need to find highest point rocket will reach.

Q: Perform the following operation and simplify: (3x – 4)? Question Help: DVideo

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Q: Find the equation of a line that passes through the x ́-intercept of the line 3x + 6y = 8 and is…

A: Given,           The line 3x+6y=8 and is perpendicular to the line 2x-5y=10.            Also, the…

Q: Question 2 : Consider the matrices 1 1 3 A = 1 2 4 1.1 4 (a) Use elementary row operations to find…

A: First we find inverse then x=A-1 b.

Q: Find the absolute and relative errors in the following situation. Your bike speedometer reads 26…

A: The given question has been solved in detail

Q: M N 6.8 32°

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Q: Plot the inverse of the function shown on the grid below. -8 -7 -6 -5 -4 -3 -2 -1 1 1 3 4 5 6 7 8 -3…

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Q: b. If the Simpsons chose to move to nearby Shelbyville, where per pupil expenditure is higher,…

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Q: True or False: The ratio of the perimeters of two similar triangles is the same as the ratio of…

A: Solution: As per our guidelines, we are supposed to answer only one question ( if there are multiple…

Q: 21. {(1, -2), (-2,0), (-1, 2), (1,3) Function: Domain: Range:

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Q: 1. Find the center, radius and graph the circle. (x + 4)2 + (y – 3)² = 16 Center: Radius:

A: We can answer number 1 as below.

Q: (2) Write the resulting set using the listing method. A. {1,2,3,5,8,13}n{2,3,5,7,11,13,17} B.…

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Q: Consider the function f(x) = log,(x) (a) Complete the following table to get two points on the…

A: topic - logarithmic function

Q: (ax + by)(cx – dy) In the expression above, a, b, c, and d are non-zero constants and ad = bc. If ac…

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Q: ZJ and ZM are base angles of isosceles trapezoid JKLM. If mzJ = 20x + 9, and mzM = 14x + 15, find…

A: Note: As per our company guidelines we are supposed to answer the first three supports of the…

Q: Evaluate f(x) x² - 2 g(x) = x - 5 %3D %3D find [ f(x) + g(x) ] (- 4 )

A: We have to find the value

Q: 10 10. Parabola: V(-7,4) and F(-7,-8) 6 4 2 -10 -8 -6 4-2 2. 4. 6. 8 10 -2 -4 -6 -8

A: 10) Vertex (-7,4)  and  focus (-7,-8)The parabola is open downward⇒vertex (h,k)  focus (h,k+p)…

Q: Pia White invests a bonus og $9000 at 6% annual interest compounded semi annually for 4 years. How…

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