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mathematics
algebra and trigonometry graphs

Questions and Answers of Algebra And Trigonometry Graphs

Find and evaluate the sum. 5 Σ 2k k=1
Find and evaluate the sum. ΣV2k - 1 k=4
Find and evaluate the sum. 10 ΣIn k k=7
Write sigma notation. 1 1.2² + 1 2.3² + 1 1 3.4² 4.5² + +
Write sigma notation. 1 1.2 + 1 2.3 + 1 3.4 + 1 4.5 +
Write sigma notation. + -1 2 2² + 13 + 12 + 1 5²
A total of 23,400 acres of pumpkins were harvested in Illinois and Ohio in 2012. The number of acres of pumpkins harvested in Ohio was 9000 fewer than the number of acres of pumpkins harvested in
Solve for a: 5 k=0 5 k 5-kak = 0.
Write sigma notation. - 2 + 2 3 3 4 + 4 5 5 + 6 6 7
Prove that √3 - √2, 4 - √6, and 6√3 - 2√2 form a geometric sequence.
Solve.log2 x = -4
Solve for n. n (3)=3-("5¹) 6 59. (₂₁²₁₂₁ ) = n 36
Solve.5x = 35
Suppose that $4000 is invested at 3.75%, compounded annually. The value of the investment after n years is given by the sequence an = $4000(1.0375)n, n = 1, 2, 3, .....a) Find the first 10 terms of
Write sigma notation.9 - 16 + 25 + ··· + ( -1)n + 1n2
Write sigma notation.4 - 9 + 16 - 25 + ··· + ( -1)nn2
Find and evaluate the sum. 3 Σ(-2)2k k=0
Find and evaluate the sum. 10 ΜΕ Σ i=0 2 2² + 1
Find and evaluate the sum. 10 Σ k=1 1 k(k + 1)
Find the term ofcontaining 1/x1/6. 7 (√x - √ ) V
Write sigma notation.3 + 6 + 9 + 12 + 15
Write sigma notation.2 - 4 + 8 - 16 + 32 - 64
Find and evaluate the sum. 5 Σ (k2 – 2k + 3) Σ(2 - k=0
Write sigma notation.7 + 14 + 21 + 28 + 35 + ···
Write sigma notation.5 + 10 + 15 + 20 + 25 + ···
Find and evaluate the sum. 6 2 Σ kΞok? + 1 k=0
Find and evaluate the sum. 7 Σ(-1)*4k+1 k=0
Find and evaluate the sum. 10 Σ;(i + 1) i=1
Find the ratio of the 4th term ofto the 3rd term. (p² 5 12 va) ²
Find the ratio of the 4th term ofto the 3rd term. (p² 5 12 va) ²
A money clip contains one each of the following bills: $1, $2, $5, $10, $20, $50, and $100. How many different sums of money can be formed using the bills?
Find and evaluate the sum. 5 Σ(−1) i=1
Find and evaluate the sum. 8 Σ(-1)*+13k k=1
Find and evaluate the sum. 5 Σ(-1)+1 k=0
Find and evaluate the sum. 4 Σπκ k=1
Find and evaluate the sum. 5 i=1 – 1 i+3
The following table lists the distance in miles from lightning dn when thunder is heard n seconds after lightning is seen. Is this sequence arithmetic? What is the common difference? n (in
Find and evaluate the sum. 8 k Σ k=1 k + 1
Find and evaluate the sum. 6 Σ2 i=0
Find and evaluate the sum. 6 1 i=1 2i + 1
Find the 4th term of (a + x)12.
A flush in poker consists of a 5-card hand with all cards of the same suit. How many 5-card hands (flushes) are there that consist of all diamonds?
Solve.x3 + 3x2 - 10x = 24
Solve.x2 + 5x + 1 = 0
Solve.2x2 - x = 3
Solve.3x - 7 = 5x + 10
If an arithmetic series has a1 = 7, d = -3, and n = 32, what is Sn?
If an arithmetic series has a1 = 2, d = 5, and n = 20, what is Sn?
Powerball' is a biweekly lottery game in which 5 white balls are drawn from a drum of 59 balls numbered 1–59 and 1 red ball is drawn from a drum of 35 balls numbered 1–35. To win the jackpot, a
Find the sum of all multiples of 4 that are between 14 and 523.
Find the sum of the multiples of 7 from 7 to 98, inclusive.
Find the sum of the first 300 natural numbers.
Find the sum of the first 20 terms of the series 5 + 8 + 11 + 14 + ····.
Find the sum of the first 14 terms of the series 11 + 7 + 3 + ····.
In an arithmetic sequence, a17 = -40 and a28 = -73. Find a1 and d. Write the first 5 terms of the sequence.
Find n when a1 = 25, d = -14, and an = -507.
Find d when a1 = 8 and a11 = 26.
Find a1 when d = 4 and a8 = 33.
Find a20 when a1 = 14 and d = -3.
Find (a) The 8th term and (b) The sum of the first 10 terms of the geometric sequence
Find the common ratio of the geometric sequence 16, -8, 4, -2, 1, ....
If x is any real number greater than 1, then for any natural number n, x ≤ xn.
Find the sum of the first 16 terms of the arithmetic series 6 + 11 + 16 + 21 + .....
Find the 10th term of the arithmetic sequence 4, 6, 8, 10, .....
In each of the following, the nth term of a sequence is given. Find the first 4 terms, a10, and a15. an = 2n - 1 n² + 2n
Find the 14th term of the arithmetic sequence 3, ان
Find the 10th term of the arithmetic sequence $2345.78, $2967.54, $3589.30, ....
Find the common difference of the arithmetic sequence 12, 7, 2, -3, ....
Find the 13th term of the arithmetic sequence $1200, $964.32, $728.64,.....
In each of the following, the nth term of a sequence is given. Find the first 4 terms, a10, and a15. an = 5 + (−2)+1 2"
Evaluate.(8 - 5)!
Evaluate.(8 - 3)!
Find the 17th term of the arithmetic sequence 7, 4, 1, ....
Find the 12th term of the arithmetic sequence 2, 6, 10, ....
In each of the following, the nth term of a sequence is given. Find the first 4 terms, a10, and a15. an n n - 1 n = 2
In each of the following, the nth term of a sequence is given. Find the first 4 terms, a10, and a15.an = ( -1)n - 1(3n - 5)
In each of the following, the nth term of a sequence is given. Find the first 4 terms, a10, and a15. "D 2 n-1
In each of the following, the nth term of a sequence is given. Find the first 4 terms, a10, and a15. an n² - 1 2 n² + 1
Find the 11th term of the arithmetic sequence 0.07, 0.12, 0.17, ....
What is the probability of rolling either a 1 or a 6 on a die?
In each of the following, the nth term of a sequence is given. Find the first 4 terms, a10, and a15.an = ( -1)nn2
What is the probability of rolling a number less than 4 on a die?
In each of the following, the nth term of a sequence is given. Find the first 4 terms, a10, and a15.an = n2 - 1, n ≥ 3
In each of the following, the nth term of a sequence is given. Find the first 4 terms, a10, and a15.an = (n - 1)(n - 2)(n - 3)
In each of the following, the nth term of a sequence is given. Find the first 4 terms, a10, and a15.an = 4n - 1
For the given angle of rotation and coordinates of a point in the xy-coordinate system, find the coordinates of the point in the x′y′-coordinate system.θ = 45°, (√2, -√2)
For the given angle of rotation and coordinates of a point in the xy-coordinate system, find the coordinates of the point in the x′y′-coordinate system.θ = 45°, ( -1, 3)
For each equation:a) Tell whether the equation describes a parabola, an ellipse, or a hyperbola.b) State whether the directrix is vertical or horizontal and give its location in relation to the
For each equation:a) Tell whether the equation describes a parabola, an ellipse, or a hyperbola.b) State whether the directrix is vertical or horizontal and give its location in relation to the
For the given angle of rotation and coordinates of a point in the xy-coordinate system, find the coordinates of the point in the x′y′-coordinate system.θ = 30°, (0, 2)
For the given angle of rotation and coordinates of a point in the xy-coordinate system, find the coordinates of the point in the x′y′-coordinate system.θ = 60°, (0, √3)
For each equation:a) Tell whether the equation describes a parabola, an ellipse, or a hyperbola.b) State whether the directrix is vertical or horizontal and give its location in relation to the
For the given angle of rotation and coordinates of a point in the x′y′-coordinate system, find the coordinates of the point in the xy-coordinate system.θ = 45°, (1, -1)
For the given angle of rotation and coordinates of a point in the x′y′-coordinate system, find the coordinates of the point in the xy-coordinate system.θ = 45°, (-3√2, √2)
Find an equation of the parabola with focus (0, 2) and directrix y = -2.
For each equation:a) Tell whether the equation describes a parabola, an ellipse, or a hyperbola.b) State whether the directrix is vertical or horizontal and give its location in relation to the
For the given angle of rotation and coordinates of a point in the x′y′-coordinate system, find the coordinates of the point in the xy-coordinate system.θ = 30°, (2, 0)
For each equation:a) Tell whether the equation describes a parabola, an ellipse, or a hyperbola.b) State whether the directrix is vertical or horizontal and give its location in relation to the
For each equation:a) Tell whether the equation describes a parabola, an ellipse, or a hyperbola.b) State whether the directrix is vertical or horizontal and give its location in relation to the
For each equation:a) Tell whether the equation describes a parabola, an ellipse, or a hyperbola.b) State whether the directrix is vertical or horizontal and give its location in relation to the

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