How does looking at a 30-60-90 degree triangle in relation to an equilateral triangle (see image below) help you understand the relationship between the length of the short leg (b) and the hypotenuse (c)? 60° 3030 a 90° C b 60°

Q: License plates in a particular state display 2 letters followed by 3 numbers. How many different…

A: Ans=676000  For detail....go through the solution

Q: ustin borrowed $8000 at a rate of 16%, compounded quarterly. Assuming he makes no payments, how much…

A: Given query is to find the amount needs to be paid after 8 years.

Q: 2. Find the sum of the first 6 terms of the sequence. The formula for the sum of the sequence is…

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Q: (c) Find, if any, the solutions of fg(x) = gf(x).

A: Given f( x ) = x2 - 2 g( x ) = 3x - 1

Q: 10 8- 6- 4 2 -10-8-6-4 -2 -2- 100 -9/ -8-1 -10- 2 4 6 8 10

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Q: Jack and Jill are a brother and sister singing group, and their latest video finally is getting…

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Q: Zoey purchased a car for $42,700; she paid 5% of the cost as a down payment and financed the balance…

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Q: Evaluate: (2x²y)³(-x^²y^¹) a. -2x^² b. -8x³y³ C. -2x³y² d. -8x³y² e. -8x¹y²

A: SOLUTION-

Q: bananas and the price of each bunch. Identify the constant of proportionality. Write an equation to…

A: we wil find the required.

Q: - Use the binomial squares pattern to multiply (3,² – 38) ²

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Q: (c) What is the arc length of the graph of the function over the interval (1/4, 4)? f(x) = xx

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Q: If an amount P is invested into an account for t years with an annual interest rate rcompounded n…

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Q: Verify the Pythagorean Theorem for the vectors u and v. u= (-1,4, 1), v = (-4,-1,0) STEP 1: Compute…

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Q: Refer to the vectors m through t at the right. Name all pairs of vectors where the first is a scalar…

A: Let, a = mb, where a and b are two vectors and m is any scalar constant.  If, m > 0 then a and b…

Q: Consider the claim that for any integer n ≥ 0, if n mod 4 = {2,3} then n is not a perfect square.…

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Q: Sketch the graph of each function "by hand" after making a sign diagram for the derivative and…

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Q: Find all (real or complex) numbers zy and zo such that 21+2₂=-4-i 2122=7-19i Enter the roots as a…

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Q: Determine the equation of the circle with center (5, -6) containing the point (11, -3). Answer:…

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Q: Transform the graph of the identity equation y = x and match it to the correct equation using the…

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Q: 10. Use synthetic division to divide f(x) by x-k for the given value of k. Then expression f(x) in…

A: To divide the given polynomial

Q: a Let W be the set of vectors of the form A = b where a, b, c are real numbers such that 7b-4c + 5a…

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Q: The number of bacteria in a certain sample increases according to the following function, where yo…

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Q: A 12-ft ladder leans against the side of a house. The bottom of the ladder is 10 ft from the side of…

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Q: Find the degree of the term. 7xy4

A: We are required to find the degree of 7xy4

Q: Determine the equation of the circle with center (0, -6) containing the point (-√56,-1). ******

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Q: Write the perimeter in standard form. 7x²-8 dx+5 X+4 3x² - 4x 12x2 -5x+8

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Q: 4) Given oblique triangle ABC where a = 65.0 cm, c = 72.0 cm and B = 95.0°, find b. b. 10224 cm c.…

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Q: Determine the equation of the circle with center (-3,0) containing the point (-1, √104).

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Q: These values have an average of 10. What is the average distance of those values from that average…

A: Average =sum of objects/number of                                                           objects…

Q: Use the chip model to model each operation. 8. a. 4+ (-6) b.-2-(-7)

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Q: There are 6 red marbles and 9 blue marbles in a bag. (a) What is the ratio of blue marbles to all…

A: Ratio

Q: mplify and write as a polynomial in standard form. (2x² +7x-30) (x+6) - (6x - 5)

A: Given query is to simplify the expression.

Q: Write the given system of equations as a matrix equation and solve by using inverses. 9x₁ - x2 = k₁…

A: Solution: a) When k1=10, k2=-10 and k3=4 So, Matrix can be written as 9-1041-1410-1x1x2x3=10-104…

Q: Find u and usuch that the null space for the matrix U= 3 v= 0 -2 1 1 -3 -15 1 - 9 1 is span{u, }.

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Q: What is the coefficient of x in the simplified form of (-5x + 4)-(3x2 - 7x +

A: Given query is to find the coefficient of x.

Q: Kevin wants to save money to purchase a car. He starts saving $1,415 quarterly in an account that…

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Q: The golf scores of the players on two golf teams, Team A and Team B, are listed in order from lowest…

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Q: Use the tabular method to square (2x+3)^2. Example attached. Make sure the answers in the tabular…

A: By using the tabular method to determine 2x+32.

Q: Consider the vectors U₁ = 2x² + 2x - 1 and U₂ = -x² - 3x + 1 in P₂. Which of the following vectors…

A: Vectors v1=2x2+x-1 and v2=-x2-3x+1. To find the vectors that are linear combination of v1 and v2.

Q: The local seven-digit telephone numbers in city A have 114 as the first three digits. How many…

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Q: Consider the vectors U₁ = 0 19 [ 1 0 {V1, U2, U3}. U2 = vector Select one: True O False 1 2 - (3) 3…

A: We have to find if given matrix belong to given span.

Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: 15) Find the slope of a line with the equation of y=-3 a. -1/2 b. ¹/2 c. 3 16) Solve the following…

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Q: 3. Find all real solutions of x³5x² - 2x + 24 = 0.

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Q: (a) If log₂x = 2, then x (b) If log3x = 3, then x = .

A: Topic = Algebra

Q: Graph the inequality subject to the nonnegative restrictions. 16x-36y > 0, x ≥0, y 20 ... Use the…

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Q: Solve for "s": 12.5s + 6-4.25s = 55.5

A: Given query is to find the value of s.

Q: responsible for $

A: we wil find the required amount.

Q: 2) Given oblique triangle ABC where a = 10.0 in, b = 8.0 in and A = 1010, find B.

A: given  a=10 in b=8 in A=101°according to sin law sin(A)a=sin(B)b=sin(C)c

Q: 10) Write the equation of a line that has a slope of -2 and passes through the point (3, -1).

A: