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Class 12 Algebra 2 Questions asked by Filo students

Question 1

The circumference of a circle = (where r is the radius of the circle) Area of a circle = (where r is the radius of the circle) Surface Area of a sphere = (where r is the radius of the sphere) Surface Area of a cube = (where x is the length of the cube) Volume of a sphere = (where r is the radius of the sphere) Volume of a cube = (where x is the length of the cube) The circumference of a circle with radius r is proportional to which of the following

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Algebra 2

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Question 2

The triangles in the figure below are similar. Find the length of the side labeled x. Round your answer to two decimal places, if necessary. Screen Shot 2020-05-14 at 5.37.39 PM.png If your browser will not let you see the figures. Use this description: The smaller top triangle has sides labeled "8.4 cm" and "3.5 cm". The larger lower triangle has sides labeled "x cm" and "5 cm". The side labeled "8.4 cm" from the top triangle corresponds to the side labeled "x cm" from the lower triangle. The side labeled "3.5 cm" from the top triangle corresponds to the side labeled "5 cm" from the lower triangle.

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Algebra 2

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Question 3

2.2 Show \( \sqrt[3]{2}, \sqrt[7]{5} \) and \( \sqrt[4]{13} \) are not rational numbers.

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Algebra 2

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Question 4

Screenshot 2023-09-07 12,24.39.png Linear Algebra and Its Applicatio \( \times \mathbb{N} \) New tab \( \times \mid+ \) \( 90 \% \) https://platform.virdocs.com/read/2229160/27/\#/4/2[P7001017102000000000000000000ADE]/42[P7001017102000000000000000000B7E]/18[P700101710... A" A \( \equiv \) ?RedShelf. eReader 16. Repeat Exercise 15 ?: \( A=\left[\begin{array}{rrr}\lfloor=-3 & -4 \\ -3 & 2 & 6 \\ 5 & -1 & -8\end{array}\right], \mathbf{b}=\left[\begin{array}{l}b_{1} \\ b_{2} \\ b_{3}\end{array}\right] \). Exercises 17 ?-20 ? refer to the matrices \( A \) and \( B \) below. Make appropriate calculations that justify your answers and mention an appropriate theorem. \[ A=\left[\begin{array}{rrrr} 1 & 3 & 0 & 3 \\ -1 & -1 & -1 & 1 \\ 0 & -4 & 2 & -8 \\ 2 & 0 & 3 & -1 \end{array}\right] \quad B=\left[\begin{array}{rrrr} 1 & 3 & -2 & 2 \\ 0 & 1 & 1 & -5 \\ 1 & 2 & -3 & 7 \\ -2 & -8 & 2 & -1 \end{array}\right] \] 7. How many rows of \( A \) contain a pivot position? Does the equation \( A \mathbf{x}=\mathbf{b} \) have a solution for each \( \mathbf{b} \) in \( \mathbf{R}^{4} \) ? 18. Do the columns of \( B \) span \( \mathbf{R}^{4} \) ? Does the equation \( B \mathbf{x}=\mathbf{y} \) have a solution for each \( \mathbf{y} \) in \( \mathbf{R}^{4} \) ? 19. Can each vector in \( \mathbf{R}^{4} \) be written as a linear combination of the columns of the matrix \( A \) above? Do the columns of \( A \) span \( \mathbf{R}^{4} \) ? 20. Can every vector in \( \mathbf{R}^{4} \) be written as a linear combination of the columns of the matrix \( B \) above? Do the columns of \( B \) span \( \mathbf{R}^{3} \) ? 21. Let \( \mathbf{v}_{1}=\left[\begin{array}{r}1 \\ 0 \\ -1 \\ 0\end{array}\right], \mathbf{v}_{2}=\left[\begin{array}{r}0 \\ -1 \\ 0 \\ 1\end{array}\right], \mathbf{v}_{3}=\left[\begin{array}{r}1 \\ 0 \\ 0 \\ -1\end{array}\right] \). Does \( \left\{\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}\right\} \) span \( \mathbf{R}^{4} \) ? Why or why not? 22. Let \( \mathbf{v}_{1}=\left[\begin{array}{r}0 \\ 0 \\ -2\end{array}\right], \mathbf{v}_{2}=\left[\begin{array}{r}0 \\ -3 \\ 8\end{array}\right], \mathbf{v}_{3}=\left[\begin{array}{r}4 \\ -1 \\ -5\end{array}\right] \). Does \( \left\{\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}\right\} \) span \( \mathbf{R}^{3} \) ? Why or why not? In Exercises 23 ?-34 ?, mark each statement True or False (T/F). Justify each answer. 23. (T/F) The equation \( A \mathbf{x}=\mathbf{b} \) is referred to as a vector equation.

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Algebra 2

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Question 5

Write the equation of the line that passes through the points left bracket, 6, comma, minus, 4, right bracket ( 6 , − 4 ) (6,−4) and left bracket, 6, comma, minus, 1, right bracket ( 6 , − 1 ) (6,−1). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

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Algebra 2

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Question 6

f(x) = x/x+5, g(x) = 2x-5 a1. Find (f o g)(x) a2. Find the domain of (f o g)(x) using interval notation b1. Find (g o f)(x) b2. Find the domain of (g o f)(x) using interval notation c1. Find (f o f)(x) c2. Find the domain of (f o f)(x) using interval notation d1. Find (g o g)(x) d2. Find the domain of (g o g)(x) using interval notation

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Algebra 2

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Question 7

To seed a tournament means to select which teams will play each other in the first round according to their preliminary ranking. For instance, in professional tennis and NCAA basketball the seeding is set up in the following order based on the preliminary rankings: 1 versus 16, 8 versus 9, 5 versus 12, 4 versus 13, 6 versus 11, 3 versus 14, 7 versus 10, and 2 versus 15.† This exercise is based on various types of elimination tournaments. (Leave each answer as a formula. Do not enter your answers using the notation P(n, r) or C(n, r).) (a) How many different seedings of a 16-team tournament are possible?

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Algebra 2

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Question 8

The data in the table represent the tuition for all 2-year communily colleges in a region in 2014-2015.

Construct a cumulative frequency distribution.
Construct a cumulative relative frequency distribution.
Draw a frequency polygon.
Draw a relative frequency ogive.

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Algebra 2

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Question 9

(1 pt) If \( \vec{v} \times \vec{w}=\langle-1,4,5\rangle \) and \( \vec{v} \cdot \vec{w}=4 \), find \( \tan (\theta) \), where \( \theta \) is the angle between \( \vec{v} \) and \( \vec{w} \). \( \tan (\theta)= \)

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Algebra 2

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Question 10

Unit 3: Parent Functions \& Transformations tomework 8: Increasing/Decreasing Intervals \& End Behavior

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Algebra 2

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Question 11

5. nd Behavior:

As x \to \infty, f (x) \to As x \to - \infty, f (x) \to

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Algebra 2

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Question 12

Write the equation system Qd1 − Qs1 = 0 Qd1 = a0 + a1P1 + a2P2 Qs1 = b0 + b1P1 + b2P2 Qd2 − Qs2 = 0 Qd2 = α0 + α1P1 + α2P2 Qs2 = β0 + β1P1 + β2P2 in matrix form, with the variables arranged in the order Qd1, Qs1, Qd2, Qs2, P1, P2. Write out the coefficient matrix, the variable vector, and the constant vector.

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Algebra 2

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Question 13

Pamprosesong Tanong: - Kung ikaw si Nicole, ano ang mga produktong handa mong ipagpalit upang makabili ng inuming tubig? Bakit? - Nagkaroon ng promo sa mga kanin at ulam (combo meals) at bumaba sa Php 30.00 ang halaga nito. Kung ikaw si Nicole, paano mo pamamahalaan ang inyong badyet?

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Algebra 2

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Question 14

2

an example of a rational terminating, rational repeating, or irrational number? Tell why it fits that category.

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Algebra 2

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Question 15

For the following exercises, simplify the given expression.

10 + 2 \cdot (5 - 3)

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Algebra 2

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Question 16

For the following exercises, simplify the given expression.

4 - 6 + 2 \cdot 7

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Algebra 2

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Question 17

For the following exercises, simplify the given expression.

3 (5 - 8)

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Algebra 2

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Question 18

For the following exercises, simplify the given expression.

5 + (6 + 4) - 11

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Algebra 2

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Question 19

For the following exercises, simplify the given expression.

6 + 2 \cdot 2 - 1

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Algebra 2

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Question 20

For the following exercises, simplify the given expression.

(12 \div 3 \cdot 3)^{2}

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Algebra 2

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Class 12 Algebra 2 Questions asked by Filo students

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