Find a general term aS1U1B1nS1U1B0 for the geometric sequence. -\[a _ { 1 } = - \frac { 1 } { 5 } , r = 7\]

A) $a _ { n } = \left( - \frac { 1 } { 5 } \right) ^ { n - 1 } + \frac { 6 } { 35 }$ B) $a _ { n } = - \frac { 1 } { 5 } + \frac { 1 } { 7 } ( n - 1 )$ C) $a _ { n } = - \frac { 1 } { 5 } \cdot 7 ^ { n - 1 }$ D) $a _ { n } = - \frac { 1 } { 5 } + \frac { 6 } { 35 } ( n - 1 )$ A) $a _ { n } = \left( - \frac { 1 } { 5 } \right) ^ { n - 1 } + \frac { 6 } { 35 }$ B) $a _ { n } = - \frac { 1 } { 5 } + \frac { 1 } { 7 } ( n - 1 )$ C) $a _ { n } = - \frac { 1 } { 5 } \cdot 7 ^ { n - 1 }$ D) $a _ { n } = - \frac { 1 } { 5 } + \frac { 6 } { 35 } ( n - 1 )$

Find a general term aS1U1B1nS1U1B0 for the geometric sequence. -\[\mathrm { a } _ { 1 } = 3 , \mathrm { r } = 3\]

A) $a _ { n } = 3 ( 3 ) ^ { n - 1 }$ B) $a _ { n } = 3 + 6 ( n - 1 )$ C) $a _ { n } = 3 ( 3 ) ( n - 1 )$ D) $a _ { n } = 3^{ n - 1} + 2$ A) $a _ { n } = 3 ( 3 ) ^ { n - 1 }$ B) $a _ { n } = 3 + 6 ( n - 1 )$ C) $a _ { n } = 3 ( 3 ) ( n - 1 )$ D) $a _ { n } = 3^{ n - 1} + 2$

Exam 7: Arithmetic Sequence: Common Difference and First n Terms

Provide an appropriate response. -Explain in your own words how you can tell from the equation whether the graph is an ellipse or a hyperbola.

(Essay)

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Question 421

A small start-up consulting company hopes to have 6 times the clientele it had the previous year for the next 5 years. If the company just meets its targets each of the 5 years and it had 6 clients to begin with, how many Clients does it have at the end of 5 years?

(Multiple Choice)

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Question 422

A rectangular board is 13 by 20 units. The foci of an ellipse are located to produce the largest area. A string is connected to the foci and pulled taut by a pencil in order to draw the ellipse. Find the length of the string.

(Multiple Choice)

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Question 423

Graph the conic section. - $x ^ { 2 } - 4 y - 4 x = 0$ $Graph the conic section. - x ^ { 2 } - 4 y - 4 x = 0$

(Multiple Choice)

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Question 424

Write the binomial expansion of the expression. - $\left( \frac { 1 } { 3 } x + 5 \right) ^ { 3 }$

(Multiple Choice)

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Question 425

Determine the two equations necessary to graph the ellipse with a graphing calculator. - $\frac { ( x - 5 ) ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 49 } = 1$

(Multiple Choice)

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Question 426

If the vertex of the graph of a quadratic function lies in quadrant II and the graph is concave up, how many x-intercepts does the graph have?

(Multiple Choice)

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Question 427

A game involves choosing 4 numbers from the numbers 1 through 13. In how many ways can this be done?

(Multiple Choice)

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Question 428

Find a general term a_n for the geometric sequence. - $a _ { 1 } = - \frac { 1 } { 5 } , r = 7$

(Multiple Choice)

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Question 429

Evaluate the sum using the given information. - $x _ { 1 } = - 1 , x _ { 2 } = 2 , x _ { 3 } = - 4 , x _ { 4 } = 1$ , and $x _ { 5 } = - 2$ $\sum _ { i = 1 } ^ { 5 } \left( 2 x _ { i } + x _ { i } \right)$

(Multiple Choice)

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Question 430

How many ways can a committee of 5 be selected from a club with 10 members?

(Multiple Choice)

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Question 431

Graph the conic section. - $x^{2}-6 x-4 y+37=0$ $Graph the conic section. - x^{2}-6 x-4 y+37=0$

(Multiple Choice)

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(35)

Question 432

Find a general term a_n for the geometric sequence. - $\mathrm { a } _ { 1 } = 3 , \mathrm { r } = 3$

(Multiple Choice)

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Question 433

An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 6 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides

(Multiple Choice)

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Question 434

One digit from the number 7,212,662 is written on each of seven cards. What is the probability of drawing a card that shows 7, 2, or 1?

(Multiple Choice)

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Question 435

Find the center, foci, and asymptotes of the hyperbola. - $\frac { x ^ { 2 } } { 81 } - \frac { y ^ { 2 } } { 144 } = 1$

(Multiple Choice)

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Question 436

List the elements in the sample space of the experiment. -A 6-sided die is rolled. The sides contain the numbers 1, 2, 3, 4, 5, 6. List the sample space of rolling one die.

(Multiple Choice)

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Question 437

Match the equation of the parabola with the appropriate description. - $x + 5 = 2 ( y + 6 ) ^ { 2 }$

(Multiple Choice)

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Question 438

Write the binomial expansion of the expression. - $\left( 3 x ^ { 2 } + 2 \right) ^ { 3 }$

(Multiple Choice)

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Question 439

Write an equation for the parabola with vertex at the origin. -Through $( - 9,9 )$ , opening to the left

(Multiple Choice)

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Question 440

Showing 421 - 440 of 570

Provide an appropriate response. -Explain in your own words how you can tell from the equation whether the graph is an ellipse or a hyperbola.

A small start-up consulting company hopes to have 6 times the clientele it had the previous year for the next 5 years. If the company just meets its targets each of the 5 years and it had 6 clients to begin with, how many Clients does it have at the end of 5 years?

A rectangular board is 13 by 20 units. The foci of an ellipse are located to produce the largest area. A string is connected to the foci and pulled taut by a pencil in order to draw the ellipse. Find the length of the string.

Graph the conic section. - $x ^ { 2 } - 4 y - 4 x = 0$ $Graph the conic section. - x ^ { 2 } - 4 y - 4 x = 0$

Write the binomial expansion of the expression. - $\left( \frac { 1 } { 3 } x + 5 \right) ^ { 3 }$

Determine the two equations necessary to graph the ellipse with a graphing calculator. - $\frac { ( x - 5 ) ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 49 } = 1$

If the vertex of the graph of a quadratic function lies in quadrant II and the graph is concave up, how many x-intercepts does the graph have?

A game involves choosing 4 numbers from the numbers 1 through 13. In how many ways can this be done?

Find a general term a_n for the geometric sequence. - $a _ { 1 } = - \frac { 1 } { 5 } , r = 7$

Evaluate the sum using the given information. - $x _ { 1 } = - 1 , x _ { 2 } = 2 , x _ { 3 } = - 4 , x _ { 4 } = 1$ , and $x _ { 5 } = - 2$ $\sum _ { i = 1 } ^ { 5 } \left( 2 x _ { i } + x _ { i } \right)$

How many ways can a committee of 5 be selected from a club with 10 members?

Graph the conic section. - $x^{2}-6 x-4 y+37=0$ $Graph the conic section. - x^{2}-6 x-4 y+37=0$

Find a general term a_n for the geometric sequence. - $\mathrm { a } _ { 1 } = 3 , \mathrm { r } = 3$

An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 6 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides

One digit from the number 7,212,662 is written on each of seven cards. What is the probability of drawing a card that shows 7, 2, or 1?

Find the center, foci, and asymptotes of the hyperbola. - $\frac { x ^ { 2 } } { 81 } - \frac { y ^ { 2 } } { 144 } = 1$

List the elements in the sample space of the experiment. -A 6-sided die is rolled. The sides contain the numbers 1, 2, 3, 4, 5, 6. List the sample space of rolling one die.

Match the equation of the parabola with the appropriate description. - $x + 5 = 2 ( y + 6 ) ^ { 2 }$

Write the binomial expansion of the expression. - $\left( 3 x ^ { 2 } + 2 \right) ^ { 3 }$

Write an equation for the parabola with vertex at the origin. -Through $( - 9,9 )$ , opening to the left

Review of Basic Concepts

Equations and Inequalities

Graphs and Functions

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Filters

Exam 7: Arithmetic Sequence: Common Difference and First n Terms

Provide an appropriate response. -Explain in your own words how you can tell from the equation whether the graph is an ellipse or a hyperbola.

A small start-up consulting company hopes to have 6 times the clientele it had the previous year for the next 5 years. If the company just meets its targets each of the 5 years and it had 6 clients to begin with, how many Clients does it have at the end of 5 years?

A rectangular board is 13 by 20 units. The foci of an ellipse are located to produce the largest area. A string is connected to the foci and pulled taut by a pencil in order to draw the ellipse. Find the length of the string.

Graph the conic section. - x2−4y−4x=0x ^ { 2 } - 4 y - 4 x = 0x2−4y−4x=0

Write the binomial expansion of the expression. - (13x+5)3\left( \frac { 1 } { 3 } x + 5 \right) ^ { 3 }(31​x+5)3

Determine the two equations necessary to graph the ellipse with a graphing calculator. - (x−5)236+y249=1\frac { ( x - 5 ) ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 49 } = 136(x−5)2​+49y2​=1

If the vertex of the graph of a quadratic function lies in quadrant II and the graph is concave up, how many x-intercepts does the graph have?

A game involves choosing 4 numbers from the numbers 1 through 13. In how many ways can this be done?

Find a general term an for the geometric sequence. - a1=−15,r=7a _ { 1 } = - \frac { 1 } { 5 } , r = 7a1​=−51​,r=7

How many ways can a committee of 5 be selected from a club with 10 members?

Graph the conic section. - x2−6x−4y+37=0x^{2}-6 x-4 y+37=0x2−6x−4y+37=0

Find a general term an for the geometric sequence. - a1=3,r=3\mathrm { a } _ { 1 } = 3 , \mathrm { r } = 3a1​=3,r=3

An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 6 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides

One digit from the number 7,212,662 is written on each of seven cards. What is the probability of drawing a card that shows 7, 2, or 1?

Find the center, foci, and asymptotes of the hyperbola. - x281−y2144=1\frac { x ^ { 2 } } { 81 } - \frac { y ^ { 2 } } { 144 } = 181x2​−144y2​=1

List the elements in the sample space of the experiment. -A 6-sided die is rolled. The sides contain the numbers 1, 2, 3, 4, 5, 6. List the sample space of rolling one die.

Match the equation of the parabola with the appropriate description. - x+5=2(y+6)2x + 5 = 2 ( y + 6 ) ^ { 2 }x+5=2(y+6)2

Write the binomial expansion of the expression. - (3x2+2)3\left( 3 x ^ { 2 } + 2 \right) ^ { 3 }(3x2+2)3

Write an equation for the parabola with vertex at the origin. -Through (−9,9)( - 9,9 )(−9,9) , opening to the left

Review of Basic Concepts

Equations and Inequalities

Graphs and Functions

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Filters

Graph the conic section. - $x ^ { 2 } - 4 y - 4 x = 0$ $Graph the conic section. - x ^ { 2 } - 4 y - 4 x = 0$

Write the binomial expansion of the expression. - $\left( \frac { 1 } { 3 } x + 5 \right) ^ { 3 }$

Determine the two equations necessary to graph the ellipse with a graphing calculator. - $\frac { ( x - 5 ) ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 49 } = 1$

Find a general term a_n for the geometric sequence. - $a _ { 1 } = - \frac { 1 } { 5 } , r = 7$

Graph the conic section. - $x^{2}-6 x-4 y+37=0$ $Graph the conic section. - x^{2}-6 x-4 y+37=0$

Find a general term a_n for the geometric sequence. - $\mathrm { a } _ { 1 } = 3 , \mathrm { r } = 3$

Find the center, foci, and asymptotes of the hyperbola. - $\frac { x ^ { 2 } } { 81 } - \frac { y ^ { 2 } } { 144 } = 1$

Match the equation of the parabola with the appropriate description. - $x + 5 = 2 ( y + 6 ) ^ { 2 }$

Write the binomial expansion of the expression. - $\left( 3 x ^ { 2 } + 2 \right) ^ { 3 }$

Write an equation for the parabola with vertex at the origin. -Through $( - 9,9 )$ , opening to the left