a Find a vector of magnitude 5 that is in the opposite direction of <-5, -12> a

Q: Question in Image.

A: To Determine: Find the exact value :

Q: 11. If TR = 11 ft, find the length of PS. P. T. R 16 S.

A: Calculate the angle PTS. ∠PTS=∠PTR-∠STR∠PTS=180°-16°∠PTS=164°

Q: The partial sum -3+ (- 9) + (– 27) + + (- 2187) equals

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Q: Find the standard deviation, s, of sample data summarized in the frequency distribution table below…

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Q: 12. If m/PSQ = (6x – 13)' and m/PQS = (x + 5)', find m/PQS.

A: In a triangle PQS,  Angle of SPQ=90 so, Angle PSQ + Angle PQS = 90 6x-13 + x+5 = 90 7x - 8 = 90  7x…

Q: The accompanying data set lists the numbers of children of world leaders. Use the data to construct…

A: Solution

Q: 10. If mLACD = (7x – 12) and M/BDC = (10x + 5)', find x.

A: we know that in parallelogram ,  Any two adjacent angles add up to 180° .

Q: Use rectangle PORS 11. If PR = 3x + 5 and SQ = 5x – 9, for 11 and 12. find TR. T S R.

A: Our objective is to find TR.

Q: Construct a frequency distribution for the given data set using 6 classes. In the table, include the…

A: Determine the class width.   The class width is determined below as follows:   From the information,…

Q: Give two sets of five numbers that have the same mean but different standard deviations. OSet 1: 3,…

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Q: If MZJMK = (8x – 13)' and M/LMK = (4x + 19)', find x. %3D

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Q: Use rhombus JKLM 13. If NK = 7 and KL = 15, find NL. for 13 and 14. K

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Q: 1.) Use the left and righ+ hand sums to approximate the area under the curve of fox x'+1 the…

A: Given that, the function is fx=x2+1 and x∈-2,3, n=5. "It is known that, the formula for the Riemann…

Q: Draw a graph that models the connecting relationships in the floorplan below. The vertices represent…

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Q: 10. Solve the following IVP using Laplace transform: y" + 5y' + 4y =f(t), 0 2 :

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Q: Question in image.

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Q: 9. If CE = 6x – 1 and EB = 2x + 11, Use parallelogram ABCD for 9 and 10. find CB. 47 .B

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Q: (a) What is the probability that a randomly selected individual is 45 to 54 years of age, given the…

A: Number of individuals who are 45 to 54 years old and are more likely to buy a product emphasized as…

Q: Question in Image.

A: Given, a triangle with sides, a = 50 b = 32 c = 25 Largest angle of the triangle will be the angle…

Q: Question 1: Use the given information about a polynomial function to write its equation. Degree: 4…

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Q: Use mathematical induction to prove that 12 + 32 + 52 + .…+ (2n + 1)² = (n+1)(2n+1)(2n+3) where is a…

A: We need to prove the given result by mathematical induction. The solution is as follows.

Q: The aliens on planet Newtonia have a problem with Earthlings overcrowding their planet. If the…

A: Given data: The expression for the Earthling population in thousands is E(t). The rate at which the…

Q: 8.10. If X is a Poisson random variable with mean 1, show that for i < 2, e-(ea)' P{X < i} <

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Q: Question in Image.

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Q: 12. If MK = 10 m, find the length of MKL. %3D 52

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Q: For the function f (x) = 3x? + 5x – 1, determine the required average and instantaneous rates of…

A: As per our guidelines we can provide solution to first 3 subparts only and rest can be reposted.

Q: Find the general solution of x*y' + x°y – 4x²y= 1 given 2, that y1 associated homogeneous equation.…

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