Use similar triangles and the fact that corresponding sides are proportional to find the length of the side marked with an x. Round to one decimal place. 8 in. 13 in. OA. 3.3 in. OB. 1.2 in. OC. 208 in. D. 51.9 in. 2 in.

Q: (a) State the definition of a compact subset of C. (b) Show that if K is a compact subset of C, and…

A: a) We have to write a definition of compact subset of ℂ b) If K is a compact subset of ℂ and A is a…

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A: This follows from basics of set theory. We give all the details in step 2.

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Q: Test for convergence of the series whose nth terms is ((n3 +1)1/3 - n)

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Q: The first difference of a sequence is the arithmetic sequence 3,7,11,15,… find the six terms of the…

A: We have to solve given Questions.

Q: Construct a truth table for ((pvq)^p)→q.

A: Explanation of the answer is as follows

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Q: Solve the matrix using the Gauss-Jordan elimination method.

A: Note: As per guidelines we can solve only 1st question if there are multiple questions in one post.…

Q: 2.23 Find all four solutions to the equation x²10 (mod 35).

A: The given equation is: x2-1≡0 mod 35 We have to find all four solutions to the given equation.

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Q: 2.11. (!) Suppose I have a penny, a dime, and a dollar, and I say, "If you make a true statement, I…

A: Hint: Establish a relation between penny, dime and dollar to obtain the required answer.

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Q: Consider the following system of equations. x+y=1 = 0 2x²+2y2-4y-6 = 0. 2.2.². a. Transform the…

A: The system of equations can be solved graphically or algebraically. The method of substitution and…

Q: The sequence bn • The sequence Sn = bk of partial sums k=1 • lim n→∞ a) b) b₁ d) = b₂ = c) I b3 = 72…

A: As per Bartleby rules we have to answer only first three questions.

Q: L EIN S X d(x] + [x]) Show Transcribed Tex x.d cos x

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Q: 1. Roland's Boat Tours sells deluxe and economy seats for each tour it conducts. In order to…

A: Note: As per your requirement I solved here both the questions.

Q: Consider four lines, labeled L1, L2, L3, and L4. The following information is known. o Line L1 goes…

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Q: Show that d(f₁ g) = sup{ |f(s)-g(s) | : SE5) defines a metric on the space B(S) of Bounded real…

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Q: n=0 Let An be a sequence so that lim an/√n = 0. Show that the series neoo converges.

A: Given: Let an is convergent and limn→∞ an/n=0 . To Show :∑n=0n=∞ann2 is convergent .

Q: Prove each of the following statements a) Use the direct method to prove that if a < 0, b < 0, c <…

A: We prove first statment by direct method  with the rule of product   In 2nd  we use contradiction to…

Q: 9. Conversion key: 1 gallon = 4 quarts; 1 quart = 2 pints; 1 pint = 16 ounces a) If your car's gas…

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Q: Give all answers to three decimal places. Evaluate fF.dr where F(x, y) = 3x²yzi + 1zj - 2zyk. and C…

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Q: Prove that if A is invertible and skew-symmetric that A^(-1) is also skew symmetric (use the…

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Q: 1) Prove both versions of the triangle inequality: for all a, b = R", we have ||a + b|| ≤ ||a|| + ||…

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Q: 3. Consider the following system of inequalities. { 4x² +9y² 24x - 90y + 225 < 0 x2 - 6x - 4y +25 ≥…

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Q: 40. Find a counterexample, if possible, to these universally quantified statements, where the domain…

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Q: On 2021-11-19, Melisandre deposits $833.55 in an account paying a simple interest rate 7.270%.…

A: Melisandre's deposit is $833.55 Simple interest rate is 7.270% Time period is Between 19-11-2021 to…

Q: spiders and a ants how how many legs in all ?

A: We know that Spiders typically have eight walking legs. Also, Ants have six legs.

Q: Find the point on on the plane 3x + 4y + z = 1 closest to(-1,1,1)

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Q: Suppose f: A → B and g: BC. (i) Prove that iffis onto and g is not one-one, then gof is not…

A: Suppose that f is onto and g is not one-one. We can find elements in B to witness the fact that g is…

Q: Suppose that F is a field of characteristic 0 and E is the splittingfield for some polynomial over…

A: It is given that E is a splitting field for some polynomial over F. then by Fundamental Theorem of…

Q: Find the zeros if any and give the order of each zero: (a) (2-2) sin - 2) si (₂) 2+2 (b) z…

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Q: . Consider the following system of inequalities. { 4x² +9y²-24x - 90y +225 < 0 x² - 6x - 4y + 25 ≥…

A: Given two inequalities  4x2+9y2-24x-90y+225&lt;0   ………………………(1)x2-6x-4y+25≥0…………………………(2)

Q: 1.32 Given p(x) = e, prove that any polynomial in a belongs to L²(0,0).

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Q: Problem 1. Suppose you are a two-dimensional being, living on a sphere of radius R. 1. Show that if…

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Q: Problem IV Consider the set of all vectors (x, y, z) € R³ satisfying the following condi- tions.…

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Q: Convert the given Celsius temperature to its equivalent temperature on the Fahrenheit scale. Use C =…

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Q: The point (5, 43, 27) is on the line (t) = (5,3,7) + t(0, 4, 2). At what value of t does this point…

A: Given that, the point 5, 43, 27 is on the line x→t=5, 3, 7+t0, 4, 2 We have to find the value of t.…

Q: Consider the following system of inequalities. { 4x² +9y²-24x - 90y +225 < 0 x² - 6x - 4y + 25 ≥ 0.…

A: Given  4x2+9y2-24x-90y+225&lt;0   ………………………(1)x2-6x-4y+25≥0…………………………(2)

Q: Objective 2.16 Matrix A has the dimensions 4 x 1 and Matrix B has the dimensions 2 x What are the…

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Q: 5. Find the exact area of each described region. The finite region between the curves x = y(y-2) and…

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Q: By the method of least squares, fit a parabolic equation =a+bx+c.x² to the data. -3 18 y -2 10 0 2 3…

A: First, let’s create a fake dataset to work with:

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Q: Let an = Let an = 5n100 - 2nn n! + ln(n) 23n+3 +6n 7.8 +15n2 Then lim an = n→∞ Then lim an = n→∞

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Q: Prove that if a is an integer, then a² + a is even. [Hint: Use proof by cases.] Prove that a + b is…

A: Try by cases even numbers are of form 2k,odd numbers are of form 2k+1

Q: Devise formulas for the nth pentagonal number and the nth hexagonal number.

A: We find the formula with the help of  graph drawing take as n=1,2,3.... So by observation we find…

Q: The equation for force of interest for a simple interest rate i is 8(t) = i / (1 + it) Select one:…

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