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1. Find the 30th term of an arithmetic sequence whose ninth term equals 199 and fifteenth term equals 343. Explain each step.

1. Find the 30th term of an arithmetic sequence whose ninth term equals 199 and fifteenth term equals 343. Explain each step.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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21:44 0.0KB/s al 41 1605197375691_... This is Algebra teaching skill test, which means that all problems must be methodically solved and each step should be explained. Otherwise, the task will not be considered completed. Sketch and graph problems if needed. If you use a theorem (or property) to solve a problem, state which theorem (or property) you use and why. You do not need to prove it, unless it is required in the task. Make sure you answer every question. Good luck! 1. Find the 30th term of an arithmetic sequence whose ninth term equals 199 and fifteenth term equals 343. Explain each step. 2. Find the inverse of the matrix A = if it exists. Explain each step. 3. Identify the function given with the graph. Explain your answer. Iden- tify the maximum value, minimum value, amplitude, and period of the function. -6- 4. Jenny's Bakery makes two types of birthday cakes: yellow cake, which sells for $25, and strawberry cake, which sells for $35. Both cakes are the same size, but the decorating and assembly time required for the yellow cake is 2 hours, while the time is 3 hours for the strawberry cake. There are 450 hours of labor available for production. How many of each type of cake should be made to maximize revenue? Use linear programming. Explain each step. 5. The Earth revolves around the Sun along an ellipse. The Sun lies in the focus of the ellipse. The largest distance from the Sun to the Earth is 152.1 million kilometers, and the shortest is 147.1 million kilometers. Find the length of the semi-minor axis of the ellipse and the eccentricity of the el- lipse. What is the distance between the two foci of the ellipse?
Transcribed Image Text:21:44 0.0KB/s al 41 1605197375691_... This is Algebra teaching skill test, which means that all problems must be methodically solved and each step should be explained. Otherwise, the task will not be considered completed. Sketch and graph problems if needed. If you use a theorem (or property) to solve a problem, state which theorem (or property) you use and why. You do not need to prove it, unless it is required in the task. Make sure you answer every question. Good luck! 1. Find the 30th term of an arithmetic sequence whose ninth term equals 199 and fifteenth term equals 343. Explain each step. 2. Find the inverse of the matrix A = if it exists. Explain each step. 3. Identify the function given with the graph. Explain your answer. Iden- tify the maximum value, minimum value, amplitude, and period of the function. -6- 4. Jenny's Bakery makes two types of birthday cakes: yellow cake, which sells for $25, and strawberry cake, which sells for $35. Both cakes are the same size, but the decorating and assembly time required for the yellow cake is 2 hours, while the time is 3 hours for the strawberry cake. There are 450 hours of labor available for production. How many of each type of cake should be made to maximize revenue? Use linear programming. Explain each step. 5. The Earth revolves around the Sun along an ellipse. The Sun lies in the focus of the ellipse. The largest distance from the Sun to the Earth is 152.1 million kilometers, and the shortest is 147.1 million kilometers. Find the length of the semi-minor axis of the ellipse and the eccentricity of the el- lipse. What is the distance between the two foci of the ellipse?
ID: ala6685a Name: This is Algebra teaching skill test, which means that all problems must be methodically solved and each step should be explained. Otherwise, the task will not be considered completed. Sketch and graph problems if needed. If you use a theorem (or property) to solve a problem, state which theorem (or property) you use and why. You do not need to prove it, unless it is required in the task. Make sure you answer every question. Good luck! 1. Find the 30th term of an arithmetic sequence whose ninth term equals 199 and fifteenth term equals 343. Explain each step. 2. Find the inverse of the matrix A = if it exists. Explain each step. 3. Identify the function given with the graph. Explain your answer. Iden- tify the maximum value, minimum value, amplitude, and period of the function. 4. Jenny's Bakery makes two types of birthday cakes: yellow cake, which sells for $25, and strawberry cake, which sells for $35. Both cakes are the same size, but the decorating and assembly time required for the yellow cake is 2 hours, while the time is 3 hours for the strawberry cake. There are 450 hours of labor available for production. How many of each type of cake should be made to maximize revenue? Use linear programming. Explain each step. The Earth revolves around the Sun along an ellipse. The Sun lies in the focus of the ellipse. The largest distance from the Sun to the Earth is 152.1 million kilometers, and the shortest is 147.1 million kilometers. Find the length of the semi-minor axis of the ellipse and the eccentricity of the el- lipse. What is the distance between the two foci of the ellipse?
Transcribed Image Text:ID: ala6685a Name: This is Algebra teaching skill test, which means that all problems must be methodically solved and each step should be explained. Otherwise, the task will not be considered completed. Sketch and graph problems if needed. If you use a theorem (or property) to solve a problem, state which theorem (or property) you use and why. You do not need to prove it, unless it is required in the task. Make sure you answer every question. Good luck! 1. Find the 30th term of an arithmetic sequence whose ninth term equals 199 and fifteenth term equals 343. Explain each step. 2. Find the inverse of the matrix A = if it exists. Explain each step. 3. Identify the function given with the graph. Explain your answer. Iden- tify the maximum value, minimum value, amplitude, and period of the function. 4. Jenny's Bakery makes two types of birthday cakes: yellow cake, which sells for $25, and strawberry cake, which sells for $35. Both cakes are the same size, but the decorating and assembly time required for the yellow cake is 2 hours, while the time is 3 hours for the strawberry cake. There are 450 hours of labor available for production. How many of each type of cake should be made to maximize revenue? Use linear programming. Explain each step. The Earth revolves around the Sun along an ellipse. The Sun lies in the focus of the ellipse. The largest distance from the Sun to the Earth is 152.1 million kilometers, and the shortest is 147.1 million kilometers. Find the length of the semi-minor axis of the ellipse and the eccentricity of the el- lipse. What is the distance between the two foci of the ellipse?
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