ALGEBRA 1 W/CALCCHAT+CALCVIEW:STUD.ED.
1st Edition
ISBN: 9781644328644
Author: Larson
Publisher: CENGAGE L
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Textbook Question
Chapter 7.2, Problem 43P
The diameter of the moon is approximately 3.5×103 kilometres.
a. The diameter of Earth is approximately 3.7 times the diameter of the moon. Determine the diameter of Earth. Write your answer in scientific notation.
b. The distance from the centre of Earth to the centre of the moon is approximately 30 times the diameter of Earth. Determine the distance from the centre of Earth to the centre of the moon. Write your answer in scientific notation.
a.
Expert Solution
To determine
Tocalculate : The diameter of Earth in scientific notation
Answer to Problem 43P
Diameter of Earth =1.295×104 kilometre
Explanation of Solution
Given information : The diameter of the moon is approximately 3.5×103 kilometre and the diameter of Earth is approximately 3.7 times the diameter of the moon
Calculation :
Diameter of moon =3.5×103 kilometre
Diameter of Earth =3.7× Diameter of the moon
So,
Diameter of Earth =3.7×3.5×103=12.95×103 kilometre
In scientific notation, 12.95×103 can be written as 12.95×103=1.295×104
(A number is said to be in scientific notation if it lies between 1 and 10 and it is multiplied by a power of 10.)
Hence,
Diameter of Earth =1.295×104 kilometre
b.
Expert Solution
To determine
Tocalculate : Distance from the center of the Earth to the center of the moon
Answer to Problem 43P
Distance from the center of the Earth to the center of the moon =3.885×105 kilometre
Explanation of Solution
Calculation :
Diameter of Earth =1.295×104 kilometre
Distance from the center of the Earth to the center of the moon =30× Diameter of the Earth
So,
Distance from the center of the Earth to the center of the moon =30×1.295×104=3885×102 kilometre
In scientific notation,
Distance from the center of the Earth to the center of the moon =3885×102=3.885×105 kilometre
(A number is said to be in scientific notation if it lies between 1 and 10 and it is multiplied by a power of 10.)
Chapter 7 Solutions
ALGEBRA 1 W/CALCCHAT+CALCVIEW:STUD.ED.
Ch. 7.1 - Simplify each expression. 130Ch. 7.1 - Simplify each expression. 53Ch. 7.1 - Simplify each expression. 334Ch. 7.1 - Simplify each expression. 241Ch. 7.1 - Simplify each expression. (7)2Ch. 7.1 - Simplify each expression. 461Ch. 7.1 - Simplify each expression. 6Ch. 7.1 - Simplify each expression. (12x)2Ch. 7.1 - Simplify each expression. 180Ch. 7.1 - Simplify each expression. 6bc0
Ch. 7.1 - Simplify each expression. (11x)0Ch. 7.1 - Simplify each expression. 292Ch. 7.1 - Simplify each expression. 3m8p0Ch. 7.1 - Simplify each expression. 5a42cCh. 7.1 - Simplify each expression. 3k3(mn)3p8Ch. 7.1 - Simplify each expression. 2m3n3Ch. 7.1 - Simplify each expression. 82q3r5Ch. 7.1 - Simplify each expression. (10a)4b0Ch. 7.1 - Simplify each expression. 11xy1z0v3Ch. 7.1 - Simplify each expression. 5m19(ab)4c7Ch. 7.1 - Evaluate each expression for a=4,b=3, and c=2. 3a1Ch. 7.1 - Evaluate each expression for a=4,b=3, and c=2. b3Ch. 7.1 - Evaluate each expression for a=4,b=3, and c=2....Ch. 7.1 - Evaluate each expression for a=4,b=3, and c=2....Ch. 7.1 - Evaluate each expression for a=4,b=3, and c=2. a2Ch. 7.1 - Evaluate each expression for a=4,b=3, and c=2....Ch. 7.1 - Write each number as a power of 10 using negative...Ch. 7.1 - Write each number as a power of 10 using negative...Ch. 7.1 - Write each expression as a decimal. 103Ch. 7.1 - Write each expression as a decimal. 8104Ch. 7.1 - The number of people who vote early doubles every...Ch. 7.1 - A pizza shop makes large pizzas with a target...Ch. 7.1 - Open-Ended Choose a fraction to use as a value for...Ch. 7.1 - For Exercises 16, choose the correct letter. What...Ch. 7.1 - For Exercises 16, choose the correct letter. 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(7p)3+7p3Ch. 7.3 - Simplify each expression. 4a012b4(b)7Ch. 7.3 - Simplify each expression. 10539.910122Ch. 7.3 - The volume of a circular cone can be determined by...Ch. 7.3 - The volume of a sphere can be determined by the...Ch. 7.3 - Solve each exercise and enter your answer on the...Ch. 7.3 - Solve each exercise and enter your answer on the...Ch. 7.3 - Solve each exercise and enter your answer on the...Ch. 7.3 - Solve each exercise and enter your answer on the...Ch. 7.3 - Solve each exercise and enter your answer on the...Ch. 7.4 - Simplify each expression. 5652Ch. 7.4 - Simplify each expression. 5552Ch. 7.4 - Simplify each expression. x58x38Ch. 7.4 - Simplify each expression. m3m5Ch. 7.4 - Simplify each expression. x6y9x2y5Ch. 7.4 - Simplify each expression. 21m343m14Ch. 7.4 - Simplify each expression. 354Ch. 7.4 - Simplify each expression. 3x2y3Ch. 7.4 - Simplify each expression. 472Ch. 7.4 - Simplify each expression. 3x42y53Ch. 7.4 - Simplify each expression. 12p3215p4Ch. 7.4 - Simplify each expression. ab3a5b2Ch. 7.4 - Simplify each expression. 3x2y5z25xz53Ch. 7.4 - Simplify each expression. 4m23n52m3(mn)3Ch. 7.4 - Explain why each expression is not in simplest...Ch. 7.4 - Explain why each expression is not in simplest...Ch. 7.4 - Explain why each expression is not in simplest...Ch. 7.4 - Explain why each expression is not in simplest...Ch. 7.4 - Simplify each quotient. 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It has a...Ch. 7.5 - What is the value of each expression? 643Ch. 7.5 - What is the value of each expression? 1253Ch. 7.5 - What is the value of each expression? 325Ch. 7.5 - What is the value of each expression? 100Ch. 7.5 - What is the value of each expression? 14Ch. 7.5 - What is the value of each expression? 225Ch. 7.5 - What is the value of each expression? 7293Ch. 7.5 - What is the value of each expression? 289Ch. 7.5 - What is the value of each expression? 2433Ch. 7.5 - Write each expression in radical form. b32Ch. 7.5 - Write each expression in radical form. (36x)12Ch. 7.5 - Write each expression in radical form. 25y12Ch. 7.5 - Write each expression in radical form. 8123Ch. 7.5 - Write each expression in radical form. (72b)12Ch. 7.5 - Write each expression in radical form. (125a)23Ch. 7.5 - Write each expression in radical form. (40x)13Ch. 7.5 - Write each expression in radical form. 36t14Ch. 7.5 - Write each expression in radical form. (99r)12Ch. 7.5 - Write each expression in exponential form. b43Ch. 7.5 - Write each expression in exponential form. (3x)4Ch. 7.5 - Write each expression in exponential form. 125d43Ch. 7.5 - Write each expression in exponential form. 49aCh. 7.5 - Write each expression in exponential form. (64b)23Ch. 7.5 - Write each expression in exponential form. 256b54Ch. 7.5 - Write each expression in exponential form. 144d4Ch. 7.5 - Write each expression in exponential form. (27x)23Ch. 7.5 - Write each expression in exponential form. 625a5Ch. 7.5 - You can use the formula S=10m23 to approximate the...Ch. 7.5 - Simplify each expression using the properties of...Ch. 7.5 - Simplify each expression using the properties of...Ch. 7.5 - Simplify each expression using the properties of...Ch. 7.5 - Simplify each expression using the properties of...Ch. 7.5 - Simplify each expression using the properties of...Ch. 7.5 - Simplify each expression using the properties of...Ch. 7.5 - Write each expression in exponential form....Ch. 7.5 - Write each expression in exponential form....Ch. 7.5 - Write each expression in exponential form....Ch. 7.5 - Write each expression in exponential form....Ch. 7.5 - To estimate the age of an organism, archaeologists...Ch. 7.5 - Reasoning Show that a24=a by rewriting a24 in...Ch. 7.5 - For Exercises 14, choose the correct letter. Which...Ch. 7.5 - For Exercises 14, choose the correct letter. Which...Ch. 7.5 - For Exercises 14, choose the correct letter. Which...Ch. 7.5 - For Exercises 14, choose the correct letter. A...Ch. 7.5 - Simplify x14(20x)12 using the properties of...Ch. 7.6 - Determine whether each table or rule represents a...Ch. 7.6 - Determine whether each table or rule represents a...Ch. 7.6 - Determine whether each table or rule represents a...Ch. 7.6 - Determine whether each table or rule represents a...Ch. 7.6 - Determine whether each table or rule represents a...Ch. 7.6 - Determine whether each table or rule represents a...Ch. 7.6 - Evaluate each function for the given value....Ch. 7.6 - Evaluate each function for the given value....Ch. 7.6 - Evaluate each function for the given value....Ch. 7.6 - Graph each exponential function. f(x)=3xCh. 7.6 - Graph each exponential function. y=0.25xCh. 7.6 - Graph each exponential function. y=81.2xCh. 7.6 - What is the solution or solutions of 3x=5x?Ch. 7.6 - An investment of $8000 in a certain Certificate of...Ch. 7.6 - A population of amoebas in a petri dish will...Ch. 7.6 - A new car costs $15,000 to build in 2010. The...Ch. 7.6 - Evaluate each function over the domain...Ch. 7.6 - Evaluate each function over the domain...Ch. 7.6 - Evaluate each function over the domain...Ch. 7.6 - Evaluate each function over the domain...Ch. 7.6 - Evaluate each function over the domain...Ch. 7.6 - Evaluate each function over the domain...Ch. 7.6 - Which function has the greater value for the given...Ch. 7.6 - Which function has the greater value for the given...Ch. 7.6 - Solve each equation. 3x=81Ch. 7.6 - Solve each equation. 52x=40Ch. 7.6 - Solve each equation. 4x+4=68Ch. 7.6 - Solve each equation. 32x16=80Ch. 7.6 - Reasoning The function that models the growth of a...Ch. 7.6 - Writing Discuss the differences between...Ch. 7.6 - Open-Ended Find the value of each of the functions...Ch. 7.6 - For Exercises 16, choose the correct letter. Which...Ch. 7.6 - For Exercises 1-6, choose the correct letter. What...Ch. 7.6 - For Exercises 16, choose the correct letter. Which...Ch. 7.6 - For Exercises 1-6, choose the correct letter. When...Ch. 7.6 - For Exercises 16, choose the correct letter. Which...Ch. 7.6 - For Exercises 16, choose the correct letter. Which...Ch. 7.6 - You invest $1000 at 7 interest compounded...Ch. 7.7 - Identify the initial amount a and the growth...Ch. 7.7 - Identify the initial amount a and the growth...Ch. 7.7 - Identify the initial amount a and the growth...Ch. 7.7 - Identify the initial amount a and the growth...Ch. 7.7 - Find the balance in each account after the given...Ch. 7.7 - Find the balance in each account after the given...Ch. 7.7 - Find the balance in each account after the giver...Ch. 7.7 - Find the balance in each account after the given...Ch. 7.7 - Identify the initial amount a and the decay factor...Ch. 7.7 - Identify the initial amount a and the decay factor...Ch. 7.7 - State whether the equation represents exponential...Ch. 7.7 - State whether the equation represents exponential...Ch. 7.7 - State whether the equation represents exponential...Ch. 7.7 - State whether the equation represents exponential...Ch. 7.7 - The town manager reports that revenue for a given...Ch. 7.7 - A wildlife manager determines that there are...Ch. 7.7 - Open-Ended Write an exponential function that...Ch. 7.7 - A business purchases a computer system for $3000....Ch. 7.7 - Writing Explain the difference in how you would...Ch. 7.7 - State whether each graph shows an exponential...Ch. 7.7 - State whether each graph shows an exponential...Ch. 7.7 - State whether each graph shows an exponential...Ch. 7.7 - State whether each graph shows an exponential...Ch. 7.7 - Reasoning Can the graph of an exponential function...Ch. 7.7 - For Exercises 15, choose the correct letter. 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