High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
1st Edition
ISBN: 9780133185614
Author: Prentice Hall
Publisher: Prentice Hall
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Textbook Question
Chapter 7.5, Problem 39P
To estimate the age of an organism, archaeologists measure the amount of carbon- 14 left in its remains. The approximate amount of carbon- 14 remaining after 5000 years can be found using the formula A=A0(2.7)−35
where A0 is the initial amount of carbon- 14 in the sample that is tested. How much carbon- 14 is left in a sample that is 5000 years old and originally contained 5.0×10−3 grams of carbon-14? Write your answer in scientific notation.
Expert Solution & Answer
To determine
To calculate: the approximate amount of carbon -14 remaining after 5000 years in scientific notation and originally contained 5.0×10−3 grams of carbon -14.
Answer to Problem 39P
The approximated amount of carbon -14 after 5000 years = 1.738408135×10−4 grams
Explanation of Solution
Given:
He have given that initial amount of carbon -14 in a sample that is 5000 years old
=5.0×10−3 grams
Formula used:
Also he have given the formula used for this problem is
A=A0.(2.7)−3/5
Where A0 is the initial amount of carbon -14 in a sample that is 5000 years old .
AndA is the approximated value of carbon -14 that we have to calculate.
Scientific Notation rules or definition
The proper format for scientific notation is a×10b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or,
1 ≤ |a| < 10 And b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.
Calculation :
Hence now we put the initial amount of carbon -14 in the above formula
We getA= 5.0 ×10−3. (2.7)−3/5
=5.0 ×10−3. (27/10)−3/5
=5.0 ×10−3.10−3/5(27)−3/5
=5.0 ×10−3−3/5(33)−3/5
=5.0 ×10−18/5(3)−9/5
=5.0 ×(102)−9/5(3)−9/5 =5.0 ×(102.3)−9/5 =5.0 ×(300)−9/5 =5.0 ×3.47681627 × 10−5 =17.38408135×10−5 =1.738408135×10−4
which is the required scientific notation.
Conclusion:
Hence approximated value of carbon -14 after 5000 years= 1.738408135×10−4
Chapter 7 Solutions
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
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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What...Ch. 7.1 - The number of bacteria in a culture quadruples...Ch. 7.2 - Rewrite each expression using each base only once....Ch. 7.2 - Rewrite each expression using each base only once....Ch. 7.2 - Rewrite each expression using each base only once....Ch. 7.2 - Rewrite each expression using each base only once....Ch. 7.2 - Rewrite each expression using each base only once....Ch. 7.2 - Rewrite each expression using each base only once....Ch. 7.2 - Simplify each expression. z8z5Ch. 7.2 - Simplify each expression. 4k36k4Ch. 7.2 - Simplify each expression. 5b33b6Ch. 7.2 - Simplify each expression. 13x83x10Ch. 7.2 - Simplify each expression. 2h54h3Ch. 7.2 - Simplify each expression. 8n11n9Ch. 7.2 - Simplify each expression. mn2m2n4mn1Ch. 7.2 - Simplify each expression. 6a3b24ab8Ch. 7.2 - Simplify each expression. (12mn)m3n2p5(2m)Ch. 7.2 - Write each answer in scientific notation. The...Ch. 7.2 - Write each answer in scientific notation. The area...Ch. 7.2 - Simplify each expression 1614Ch. 7.2 - Simplify each expression. 12513Ch. 7.2 - Simplify each expression. 24315Ch. 7.2 - Simplify each expression 823Ch. 7.2 - Simplify each expression. 6443Ch. 7.2 - Simplify each expression. 2532Ch. 7.2 - Simplify each expression 7q436r357q136r15Ch. 7.2 - Simplify each expression. 3h522k342k323h54Ch. 7.2 - Simplify each expression. 8p165m128p145m56Ch. 7.2 - Complete each equation. 9294=9Ch. 7.2 - Complete each equation. 553=52Ch. 7.2 - Complete each equation. 282=22Ch. 7.2 - Complete each equation. zz5=z3Ch. 7.2 - Complete each equation. m13m16m=m2Ch. 7.2 - Complete each equation. d7d13d9=dCh. 7.2 - Find the area of each figure.Ch. 7.2 - Find the area of each figure.Ch. 7.2 - Find the area of each figure.Ch. 7.2 - Find the area of each figure.Ch. 7.2 - Simplify each expression. Write each answer in...Ch. 7.2 - Simplify each expression. Write each answer in...Ch. 7.2 - Simplify each expression. 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The...Ch. 7.3 - Simplify each expression. z53Ch. 7.3 - Simplify each expression. m410Ch. 7.3 - Simplify each expression. v712Ch. 7.3 - Simplify each expression. k433Ch. 7.3 - Simplify each expression x72Ch. 7.3 - Simplify each expression. r146Ch. 7.3 - Simplify each expression. bb83Ch. 7.3 - Simplify each expression. h2h70Ch. 7.3 - Simplify each expression. m232n17Ch. 7.3 - Simplify each expression. x62y30Ch. 7.3 - Simplify each expression. g55g62Ch. 7.3 - Simplify each expression. u23w413Ch. 7.3 - Simplify each expression. (6a)4Ch. 7.3 - Simplify each expression. (5f)3Ch. 7.3 - Simplify each expression. (9z)12Ch. 7.3 - Simplify each expression. 10m32Ch. 7.3 - Simplify each expression. 6j23Ch. 7.3 - Simplify each expression. 9d102Ch. 7.3 - Simplify each expression. (gh)0Ch. 7.3 - Simplify each expression. qr612Ch. 7.3 - Simplify each expression. 4a32a5Ch. 7.3 - Simplify each expression. m47n37m43Ch. 7.3 - Simplify each expression. xy2xy21Ch. 7.3 - Simplify each expression. 2y5z71y5Ch. 7.3 - Simplify each expression. 7t33s5t142Ch. 7.3 - Simplify each expression. m9m1n12n8Ch. 7.3 - Simplify each expression. 3b4c26c3Ch. 7.3 - Simplify each expression. 5x5y22x142Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - The radius of a cylinder is 5.4106cm. The height...Ch. 7.3 - The side length of a square is 9.6105 in. 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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. Write each answer in...Ch. 7.4 - Simplify each quotient. Write each answer in...Ch. 7.4 - Writing Explain how you divide expressions with...Ch. 7.4 - A computer can do a computation in 6.8109 seconds....Ch. 7.4 - Error Analysis A student simplifies the expression...Ch. 7.4 - Reasoning The division property of exponents says...Ch. 7.4 - The area of a triangle is 80x5y3. The height of...Ch. 7.4 - Open-Ended First simplify the expression 12m515m3...Ch. 7.4 - For Exercises 16, choose the correct letter. Which...Ch. 7.4 - For Exercises 16, choose the correct letter. Which...Ch. 7.4 - For Exercises 16, choose the correct letter. A...Ch. 7.4 - For Exercises 16, choose the correct letter. Which...Ch. 7.4 - For Exercises 16, choose the correct letter. Which...Ch. 7.4 - For Exercises 16, choose the correct letter. Which...Ch. 7.4 - A rectangle has an area of 12x3y4cm2. 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. Which...Ch. 7.7 - For Exercises 15, choose the correct letter....Ch. 7.7 - For Exercises 15, choose the correct letter. What...Ch. 7.7 - For Exercises 15, choose the correct letter. What...Ch. 7.7 - For Exercises 15, choose the correct letter. Where...Ch. 7.7 - Suppose you deposit $2000 into an account earning...Ch. 7.8 - Determine whether the sequence is a geometric...Ch. 7.8 - Determine whether the sequence is a geometric...Ch. 7.8 - Determine whether the sequence is a geometric...Ch. 7.8 - Determine whether the sequence is a geometric...Ch. 7.8 - Determine whether the sequence is a geometric...Ch. 7.8 - Determine whether the sequence is a geometric...Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Write the explicit formula for each geometric...Ch. 7.8 - Write the explicit formula for each geometric...Ch. 7.8 - Write the explicit formula for each geometric...Ch. 7.8 - Write the explicit formula for each geometric...Ch. 7.8 - Write the explicit formula for each geometric...Ch. 7.8 - Write the explicit formula for each geometric...Ch. 7.8 - Write the recursive formula for each geometric...Ch. 7.8 - Write the recursive formula for each geometric...Ch. 7.8 - Write the recursive formula for each geometric...Ch. 7.8 - Write the recursive formula for each geometric...Ch. 7.8 - Determine if each sequence is a geometric...Ch. 7.8 - Determine if each sequence is a geometric...Ch. 7.8 - Determine if each sequence is a geometric...Ch. 7.8 - Determine if each sequence is a geometric...Ch. 7.8 - Identify each sequence as arithmetic, geometric,...Ch. 7.8 - Identify each sequence as arithmetic, geometric,...Ch. 7.8 - Identify each sequence as arithmetic, geometric,...Ch. 7.8 - Identify each sequence as arithmetic, geometric,...Ch. 7.8 - Suppose you want to make a reduced copy of a...Ch. 7.8 - A geometric sequence has an initial value of 3 and...Ch. 7.8 - The starting salary at a company is $42,000 per...Ch. 7.8 - For Exercises 15, choose the correct letter. What...Ch. 7.8 - For Exercises 15, choose the correct letter. Which...Ch. 7.8 - For Exercises 15, choose the correct letter. Which...Ch. 7.8 - For Exercises 15, choose the correct letter. What...Ch. 7.8 - For Exercises 15, choose the correct letter. Which...Ch. 7.8 - Write the explicit and recursive formulas for the...
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