A new hybrid car sold in the United States reports a fuel usage of 38mpg. Determine how many kilometers per gallon this is equivalent to. Round your answer to the nearest hundredth, if necessary.

Q: Solve the quadratic equation by first factoring the perfect square trinomial on the left side. Then…

A: x2−8x+16=64

Q: Solve the quadratic equation by first factoring the perfect square trinomial on the left side. Then…

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Q: Find the singular values σ₁ ≥ 0₂ ≥ 03 of 01 02 03 || || || 1 = A -1 0 5 0-1]

A: To find the singular values  of the following matrix.

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A: ** As per our guidelines, we are permitted to answer only one question with a maximum of 3 answers.…

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Q: (a) Find the rational zeros and then the other zeros of the polynomial function ​f(x)=x3−43x+42​;…

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Q: Consider the matrix [1 3 A = 2 1 5 1 -7 13 (a) Find a vector b € R³ such that Ab = 0. (b) Determine…

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Q: Use factoring to solve the quadratic equation. Check by substitution or by using a graphing utility…

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Q: Please help me answer this question.  Thanks.

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Q: Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through…

A: Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through…

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Q: Change the exponential statement to an equivalent statement involving a logarithm. 2.3=3x is 0.…

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Q: Suppose u = (9, 0, -1) and v = (-1, 8, 1) are vectors in R³. Determine 2u, -v, and u + 2v. (Simplify…

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Q: 8. Let (a) (b) Į 1 3 -3 3 1 -3 -3 -3 1 Find the eigenvalues of A. (Hint: λ = 7 is an eigenvalue with…

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Q: Rewrite as sums or differences of logarithms. logb (x8 y2 z)

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Q: (1) Describe how the formula is a transformation of a toolkit function. (2) Then sketch a graph of…

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Q: Use the value of the discriminant, b² - 4ac, to determine the number and type of roots for x²-3x+7=0…

A: We have to use the value of the discriminant, b²-4ac, to determine the number and type of roots for…

Q: 11:30 am traveling at a speed of 9 mph. Another train leaves the same train station traveling at 12…

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Q: Use factoring to solve the quadratic equation. Check by substitution or by using a graphing utility…

A: Find the root of the equation and x-intercept.

Q: 29. During which interval is the graph of the function below only increasing? f(x)=x² +9x² +24x+15…

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Q: 7. Solve for x in the following images. +30+30=180 y=120 a) e) 30⁰ x=90 60° 180-40-60-80 50° x=15…

A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: 1. Match each tape diagram to the situation that it models. o Priya ate x ounces of broccoli. Noah…

A: Priya ate x ounces of broccoli. Noah ate 1/5 of that.Noah bought x pounds of chicken. Priya bought…

Q: 8. Let 1 2 +--+- () -- () ---(3) (:). at = and = 3 4 7 b3 (a) Find conditions on b₁,b2, b3 such that…

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Q: Compute the discriminant. Then determine the number and type of solutions for the given equation. 5x…

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Q: A triangular prism has a base area of 20cm2 and a height of of 13 cm. If the prism is dilated with a…

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Q: Which equation has a minimum value of 2? y = √√x-2 +7 over 0≤x≤2 a. b. y = √√x-2 +7 over 4 ≤x≤ 52 c.…

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Q: Please explain partial fraction decomposition and when to use it. in great details.

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Q: What future value will a principal of $5,600 amount to in 4 years and 11 months at 6.8 % p.a.…

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Q: Let a₁ = 1 3 1 a₂ = The value(s) of h is(are) -5 - 8 2 and b = 3 - 12 h For what value(s) of h is b…

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Q: Thank you! Does this mean that the plate is 0.35 units from the bottom of the bowl, as the question…

A: Yes, the distance of the plate from the top of the bowl is 12.65 units.Since the radius of bowl is…

Q: (a) If A is a 2 x 2-matrix, then det (2A) = 2 det (A).

A: Since we are given with the multiple number of question and our guideline is solve  first question…

Q: 1 C. 30 and and ¹ 140 6. Find the distance between the given points on the number line: 21 a. -8 and…

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Q: 8a63 7 46 a2 ||

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Q: How many packages of TNT are required to create a relieved-face crater that is 125 feet long? 1230…

A: Packages of TNT are required to create a relieved-face crater that is 125 feet long.

Q: Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many…

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Q: 17. A kite is tied to the ground. The string of the kite makes an angle of 45° with the ground. If…

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