Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss.  (a) 1 + 2 + 3 + 4 + . . . + 395 + 396 + 397 + 398   (b) 1 + 2 + 3 + 4 + . . . + 542 + 543 + 544 + 545   (c) 2 + 4 + 6 + 8 + . . . + 80 + 82 + 84 + 86

Q: Solve the system of equations using a matrix. Describe the geometry of the solutions. x + 3y + 6z =…

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Q: Solve the equation using the steps: x+8-2x-2x + 6-2-x Step 1: Step 2: Step 3: to get to get to get

A: Given :

Q: 4. My 40 20 (0, 42) (1, 21) (2, 10.5) 2 (3, 5.25) 4 X 거 ○ 4 2 21 www 210.5 35.05

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Q: Let f(x)=2x-3 and g(x) = x² +2. Evaluate (gof)(x). (gof)(x) = (Simplify your answer.)

A: Topic = Functions

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Q: K Perform the following matrix row operation and write the new matrix. 5-15 25 35 -4 -3 -7 0 5 -6 0…

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Q: Write a system of linear equations for the augmented matrix. 0 1 1 3 -4 1-2 10 3 = A = 10 = -4 Using…

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A: A detailed solution is given below.

Q: . x>3 nx<5 - Graph & set notati 00

A: Here we have to plot the graph.

Q: An extra-strength aspirin contains 0.500 g of aspirin. How many grains is this? (1 grain = 64.8 mg)…

A: contaun 0.500g we know 1g=1000 mggiven 1 grain=64.8 mg

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A: Given: The current value of the house=$244000 Percentage decrease in the value of the house = 10%

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A: Introduction The truth table of a logical expression describes the output(s) of the…

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A: Using the data given in the question we need to check which of the statements A,B,C,D,E are True.

Q: Solve the following homogeneous system of linear equations: 5x1+5x2 = 0 3x1+6x2-6x3 = 0 -2x1-5x2+6x3…

A: Given equations 5x1 + 5x2 = 0 3x1 + 6x2 - 6x3 = 0 -2x1 - 5x2 + 6x3 = 0 -3x1 - 6x3 = 0

Q: a) Write the augmented matrix for x + 2y3z = 9 2x - y + z = 0 (4x - 2y + 2z = 0 the row echelon form…

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Q: Which set of numbers are plotted on the number line? A В) B too 0 1 2 3 (2, 1.1, 1.43,3) (1.57, 3,…

A: we need to find out the correct answer from the options.

Q: Find the measure of the third angle in the triangle. (Assume a = 20° and b = 35⁰.) O a

A: given  a=20°b=35°let the other angle is x°we know the sum of angles of triangle is 180°

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A: Given: 1+1xx=y

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A: To find the percent of the time Marsai strike out.

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A: Given 6060 boys at a summer camp were asked to complete a survey about their favorite outdoor…

Q: 24. x² + 8x = 30

A: To solve the following equation. x2+8x=30

Q: does the table represent an exponential function ? explain 0,1,2,3,4  3,6,12,24,48

A: Question - does the table represent an exponential function ? explain 0,1,2,3,4 3,6,12,24,48

Q: Y=0.2178x+3.961=1.500x(-4.605) solve for x

A: On solving this we will get

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Q: ⑥ A) 8 5 AJ B) 8 5 (C) 5.5-동 3 D 5.5 7 5. 4.5% 5) 5 4 F) 5호 그 5 8 Bu pay pal

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Q: (1) Let A = {1, 2, 3, 4}, B = {2, 4, 6}, C = {1, 3, 5} and U = {1, 2, 3, 4, 5, 6, 7}. Compute the…

A: By the authoring guidelines of Bartleby, we can answer only first three subparts, please post other…

Q: Find the point (x,y) on the line y=x that is equidistant from the points (3,8) and (−10,−10)

A: To find the point x, y on the line y=x, that is equidistant from the points 3, 8 and -10, -10.

Q: Worksheet # 1 (module 10 Ratio and Proportion MMW) A. Find the value of the unknown: 1. 12:15 =n :…

A: according to bartleby policy we supposed to do only first part of multiple question (1)  given…

Q: Evelyn borrows $32,400.00$32,400.00 to buy a Honda Civic. She pays $580.00$580.00 a month for 55​…

A: Evelyn borrows= $32,400.00

Q: Write the inverse of y = 30 (0.9)* in terms of y then sketch.

A: Formulas we use  lnam=mlnalnab=lna-lnb

Q: (5)How many strings of eight English letters are there  a) that contain no vowels, if letters can…

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A: Given: 16x2=-24x-3

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A: We have to graph the given functions.

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A: Total amount =$4200 Cost of fuel =$200.

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Q: dratic equation by using the quadratic formula and, if needed, to submit your answer as a fraction…

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Q: If u = x+y+ z 19 (x2+y2+ z2)2 show that x ди ди +y +z- ду - Әх ди == дz 0.

A: Given :

Q: Find the amount of the ordinary annuity based on the information given. R=$10,000, 8% interest…

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Q: If n(B) = 415, n(AN BNC) = 120, n(An Bn C) = 145, and n(ACnBn C) = 125, what is n(ACN BNCC)?

A: Topic - Sets We are given that n(B) = 415n(A∩B∩C) = 120n(A∩B∩Cc)=145n(Ac∩B∩C)=125

Q: x and y vary directly, as y increases, what happens to the value of x?

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Q: Which statement below is the equivalent to the statement "Ann has fewer than eleven books." a) Ann…

A: We are required to find which of the given statements in the question is equivalent to the…

Q: 2. How does the function f(x - 2) compare to f(x)? Complete the sentence. f(x-2) has a CHOICE A…

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Q: What is the distance between points (1, 1) and (7, 5)? Round to the tenths place if necessary. Show…

A: Distance between points (x1,y1) and (x2,y2) is (x2-x1)2+(y2-y1)2.

Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

A: Just I have let the vector x in Matrix form and the solved it.Final solution is in the box.