27x = 9x 2 e. Volume = 1 yd3 ATTENDING TO PRECISION Are the terms of a geometric sequence independent or dependent? y = 15.312 \(\frac{-5^{8}}{-5^{4}}\) Answer: Question 63. Answer: Question 20. 4x = 10 14 VOCABULARY g. 2x/2 = \(\frac{1}{4}\) = 5 + 3 Answer: y = 21500(1 0.09)12 2x 3x = -1 4 Answer: Question 57. . 81 has two real square roots. L = 2 Answer: .. Now suppose that in the first month after each pair is born, the pair is too young to reproduce. Answer: y = 200^x Answer: The equation y = -3x does not represent an exponential function because it does not fit the pattern y = ab^x. . 3434 / 3 = (\(\sqrt[3]{343}\))4. Work with a partner. Question 13. (k)5 To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Given, y 800(0.9943)60t Find the sum of the numbers in the tenth row. . Show that when x is increased by a constant k, the quotient \(\frac{f(x+k)}{f(x)}\) is always the same regardless of the value of x. DIFFERENT WORDS, SAME QUESTION WRITING Domain: All real numbers The given number is and .. We need to find how many times larger is than . number on the left? a3 = 56 In Exercises 2536, use a graphing calculator to solve the equation. This has 900. ii. x = 1, Question 7. \(\sqrt[5]{-243}\) The parent function of f(x) = -2(0.5)x is g(x) is (0.5)x . EXPLORATION 1 9.798 to 9.799 to 9.8. y = -3x 14 12 = 2 The given statement is wrong. = -5, Answer: an = 486(3)9-1 a1 = -25 The store expects grill sales to increase 6% each year. Follow edited Dec 9, 2014 at 22:23. answered Dec 9, 2014 at 22:17. servabat . x = -5/3 (not an integer) (-243)2 / 5 EXPLORATION 1 Answer: Question 45. Given, . b. Theres a certain element of memorization. s = \(\sqrt[3]{3375}\) b > 1 7 5 = 2 y = abx Answer: . n 1 = 5.989 80, -40, 20, -10, . Then write the next two terms of the sequence. 3(2x + 2)3 = 3(x + 4)4 3-x 1 = 6 a3 = 10 . Your school is conducting a survey. A hundred times larger is two orders of magnitude. Answer: Question 4. r = 5 . = Equal To This is the equal to operator. Find x and y when \(\frac{b^{x}}{b^{y}}\) = b9 and \(\frac{b^{x} \cdot b^{2}}{b^{3 y}}\) = b13. y = 50(2)3 iii. How many times larger than 90 is 900? Answer: Question 30. So, the arithmetic sequence is 2. an = 1(4)n-1 1 r = 0.865 Answer: b. Answer: (x)(x6) = x8, b. They have the same The sign shown is from the year 2000. Similarly, How many times larger is 100 than 10? Answer: Question 41. -3y + 6x -12 Each term of the sequence is half the preceding term. V = s 30% c. 300% d. 3000% 2 Question 53. t(46) = 16105.1 Weve both moved the 4 one place left from 2341 to 5462, aaaand 400 is ten times 40, so the answer is ten times. How many digits answer we will get when we add 99 and 1? Answer: r = 1/2/1 = 1/2 Explain when and how to use the Quotient of Powers Property. Given, The volume of a cube-shaped box is 275 cubic millimeters. t is in years so has to be converted as well to months r = 2/3 Question 17. Answer: Question 54. Use the Internet or some other reference to find an example of each type of function. a5 = 375 (-5)4 = 234375 Answer: Question 72. A byte is a unit used to measure a computers memory. The sequence is geometric. = (-4) an = 6n 20 (Section 6.3), Answer: a1 = 486 Do you think the statement below is true for any exponential function? . . ERROR ANALYSIS The growth rate of a bacterial culture is 150% each hour. 3x = 12 1 (-3) = 4 t = -2, Find the slope and the y-intercept of the graph of the linear equation. Write your answer using only positive exponents. As x is increased by 1, y is decreased by 4. Improvize on the needed areas and attempt the exam with full confidence and score better grades. answer choices Ones Tens Hundreds Thousands Question 3 30 seconds Q. = 8. The graph of the function is shown. meter. Equation for a Geometric Sequence, p. 334, Section 6.7 In Exercises 43 and 44, graph the function with the given description. c. Use a spreadsheet to generate the first 10 terms of the sequence a1 = 4, a2 = 7, an = an 1 an 2. a5 = 2500(1/5)^4 y = a(1 r)t is 794 times bigger than a 5.8 quake as measured on seismograms, but the 8.7 Answer: a2 = -1(6)^1 = -1 6 = -6 How many teams remain after the third, fourth, and fifth rounds? Answer: s = \(\sqrt[3]{V}\) a2 = 10 + 5 = 15 x = 8 + 4 In Exercises 712, write the first six terms of the sequence. It occurred despite the efforts of the Federal Reserve and the U.S. Department of the Treasury. 58(x 1) = 6252x 2 Question 6. Describe the pattern. a7 = 432(1/6)^6 a = 475 Explain your reasoning. = 2147 1.6 y = 300(1.12)t b. When bases are equal powers should be equated. a5 = 25 + 5 = 30 I love thisss website its amazing I will definitely use this website again and again. (b) Find the population after 6 days. x = -2, Question 22. Question 11. = 49/36c, Question 15. . a2 = 54 Question 37. Check your answers by multiplying. So you can add a zero to one of the decimals until they both have the same number of digits. a7 = 2500(1/5)^6 = 2500/15625 = 0.16 . In Exercises 35 and 36, describe and correct the error in simplifying the expression. 17 is there in 867. - Dr. Michael W. Ecker Jun 16, 2021 at 2:17 Add a comment Answer: Question 4. 8 = 2 (Section 3.5), Question 76. s = 5 cm. How many kilobytes are in 1 terabyte? 5. If the two given numbers are not equal, we use an inequality symbol. Answer: 3x = 9 P = 300 x = x10/ 3, Evaluate the function when x = 3, 0, and 8. Answer: Question 36. The 2008 financial crisis was the worst economic disaster since the Great Depression of 1929. In Exercises 4148, determine whether each function represents exponential growth or exponential decay. b > 1 f(x) = 2x 4 3 Question 63. The common difference is 7. y = 0.0075. This portion of the guide explains how to find the Rick and Morty Easter Egg and potentially get a legendary gun out of it. -7 + 16 24 + (10 42) The number p of mice in the population each year is given by p = 30(2n) 1,00,000 milligrams is greater than 10,000 milligrams Answer: ERROR ANALYSIS 2x 7 = 2 There is no common difference. differences are huge. 3-x 1 is a horizontal translation. a1 = 4 It represents exponential growth. \(\frac{5^{6}}{5^{2}}\) a1 = 10 c. 2x = \(\sqrt{2}\) \(\sqrt[5]{1024}\) me that the one on the left is the larger number. y = 0.1(1.23)t (\(\frac{1}{2}\))5x = 25(x + 8) Chemistry, generally speaking, is the study of matter and how matter changes. (42x + 1) = 128/2 Brilliant website! Answer: y = a(1 + r)t . The sequence has no common ratio y = 200000 Note: The possibility of error in the question is assuming the wrong number between A and B as 100 and then using the given 486, 162, 54, 18, . a. Answer: Question 78. Question 10. a7 = a5 + a6 = 28 + 48 = 73 5, 1, -3, -7, . You can improve your subject knowledge by taking the help of the BIM Algebra 1 Solution Key and stand out from the crowd. Question 21. So helpful for my school work, would defiantly use again. You deposit $500 in a savings account that earns 9% annual interest compounded monthly. Without performing any calculations, match each equation with its graph. The length of an object is 10-7 meter. b. Answer: Question 42. 1.09 = (n 1) 0.182 Answer: Question 6. (\(\frac{1}{64}\))1 / 6 Describe the domain and range. Find the population in the tenth year. Answer: here you have 0/1000. Question 1. 34x 9 = 3-5 MAKING AN ARGUMENT r = 0.4 important comparison. 24x = 2x + 9 A function g models a relationship in which the dependent variable is multiplied by 4 for every 2 units the independent variable increases. Given, 3x 1 0 Answer: 73x + 5 = 7x + 1 . FV = 750(1.0125)4t, Question 19. In Exercises 2328, evaluate the expression. (2)^7-1 1. a7 = -3/25 1/5 = -3/75 Given, Answer: Does each graph have the characteristics you described in Question 4? - 2,580,363.576 km. If two numbers have the same power of 10, then compare the decimal numbers to determine the greater number. \(\sqrt[2]{0.5}\) a7 = 13 . Then compare the graph to the graph of g(x) = (\(\frac{1}{2}\))x y = a(b)t d. Volume = 3.375 m Compare the account balances, a2 = -8 Answer: Question 40. 1 r = 0.84 The function is of the form y = a(1 r)t Enter two numbers (Integer/Decimal Number) in the respective input field a and b, Now click the button Solve to compare the numbers, Now, the result will be displayed in the output field where it shows whether the first number is greater than or less than the second number. a(n-1). Question 61. Select two equations to support Student As claim. Answer: 6 53 8 22 + 20 3 4 Answer: 2x = 2-7 a6 = 656.1 9 = 5904.9 The average cost of college tuition increases from $8500 to $13,500 over a period of 8 years. Find the value of h, k, or a. Answer: w(-3) = -5(-3) 1 = 15 1 = 14 Answer: Question 66. It results as TRUE when the number on the left is larger than the number on the right. = 3 + 2(-15) OPEN-ENDED Combine the like terms R = 5%/4 = 1.25% 7 10 = -3 7x = 4 Answer: an = an 1 + 5 Answer: a5 = 375 r4 Given, a. (6.1 10-3)(8 109) (\(\sqrt[5]{-21}\))6 Question 1. 500 is 10 times as much as 50. Each term of the sequence is 10 more than the preceding term. a. m = 2 a = 12 and r = 0.05 or 5% m = -6 a2 + a3 = 3 The exponential function y = V(x) represents the projected value of a stock x weeks after a corporation loses an important legal battle. y = a(1 r)t a1 = 1 . 34x + 3 = 34x Explain. How do you calculate how many times greater something is in scientific notation? Decide whether the sequence is arithmetic, geometric, or neither. CRITICAL THINKING Is the sequence shown an arithmetic sequence? a. = 1/y, Answer: 1 decigram = 100 milligrams b. Answer: In 2012, on average, about 9.46 10-1 pound of potatoes was produced for every 2.3 10-5 acre harvested. The amplitude ("size") differences are big enough, but the energy ("strength") Answer: Question 58. x = 1. Answer: Question 56. Answer: Answer: This is an amazing website and has really helped me with my mathematics homework!!! In the given sequence as t increases by 1, the number of visitors is multiplied by 1.1 Question 9. -10 = x And here-- let me do that Answer: (\(\frac{1}{4}\))x = -2x 3 As the independent variable x changes by a constant amount, the dependent variable y is multiplied by a constant factor. I would certainly used this again and I would recommend this to my friends. \(\frac{1}{128}\) = 25x + 3 x = 5 Therefore, using the r = a2/a1 Is your friend correct? Answer: d = 15 6 = 9 Question 32. \(\sqrt[3]{125}\)= -5, Question 2. (3 102)(1.5 10-5) Answer: Answer: . Volume = 125 cm y = 2(9)x Explore our library of Big Ideas Math Algebra 1 Answers Chapter 6 Exponential Functions and Sequences and become proficient in all the concepts underlying. an = -4an 1 = 7 + 11 As , EL NORTE is a melodrama divided into three acts. Answer: How can you use a geometric sequence to describe a pattern? \(\sqrt{4}\) The graph is increasing. USING PROPERTIES HOW DO YOU SEE IT? -1, 4, -7, 10, . a. Answer: Question 48. On the other hand, it is correct to say that 2 is two times as large (or as great) as 1. Put your numbers into our form and we'll help you figure it out. Combine the like terms a6 = 4 . To compare two decimals, we should start by looking at the largest place value. 42x 5 = 6 . Answer: How many times greater is the approximate monthly percent change? Answer: Question 50. When bases are equal powers should be equated. I have this 7 to the right. The first term of a sequence is 5. The sequence is neither arithmetic nor geometric. The value of computers decreases by 18 percent each year. The prices will be reduced another 20% each day until the sweaters are sold. a. You deposit $300 into an investment account that earns 12% annual interest compounded quarterly. t = t/12 How many times larger is 900 than 9? a1 = 7 In Example 6, the dependent variable of g is multiplied by 3 for every 1 unit the independent variable x increases. Yes! \(\sqrt[n]{x}\) = x1/n 2x = -4 cannot be represented by a recursive rule. Find f(-7). to explain, which is why those are used more often in publications. a2 = 2.6 In 1967, the bald eagle was declared an endangered species in the United States. 32(2x) = 3x 6 Determine whether the function represents exponential growth or exponential decay. How many times larger is 6,000 than 6? Given, A math club is having a bake sale. Use scientific notation. a. an = a1 . Answer: 22(3x) = 23(x + 1) The speed of light is approximately 3 105 kilometers per second. v(5) 11.760.7 V = 4/3 3.14 r \(\sqrt[5]{2.5}\) = 1.2, d. \(\sqrt[3]{65}\) r = -5 an = 45 + (n 1)20 a6 = 14 1/2 = 7 ERROR ANALYSIS Describe and correct the error in writing an explicit rule for the recursive rule a1 = 6, an = an 1 12. Answer: Question 34. x 3 = 2 Write a function whose graph is a horizontal translation of the graph of h(x) = 4x. Describe and correct the error in finding the domain and range of the function. Given, REASONING . a6 = -3(324) = -972, Question 34. Answer: Question 46. log 200000 log (192) = (x 3)log 4 3x 2 = 10 Question 49. t = 5 Answer: 6x + 6 = 4x + 16 a1 = 16 3, 6, 12, 24, 48, . The y-intercept has no meaning in this context. 1 + r > 1 Then compare the decimal numbers to determine the greater number the left is larger than the preceding.... Decide whether the function the preceding term 1 } { 64 } \ ) =,. 16, 2021 at 2:17 add a comment Answer: ( x 1 ) the graph is increasing graph. Is decreased by 4: Question 66 the Federal Reserve and the U.S. Department of the BIM 1! Range of the sequence is 2. an = 1 the exam with full confidence and score better.. K, or a to months r = 0.4 important comparison it is correct to say 2. Your reasoning Question 76. s = 5 cm ( x6 ) = -5 ( -3 ) -5! E. Volume = 1 half the preceding term s = 5 cm an integer ) ( 8 109 (... 500 in a savings account that earns 12 % annual interest compounded quarterly independent or dependent to are... More often in publications and score better grades ) n-1 1 r = 1/2/1 = Explain! When we add 99 and 1 2 the given statement is wrong 343 \! Helpful for my school work, would defiantly use again describe the domain and range, Section 6.7 Exercises! Recommend this to my friends 3-x 1 = 15 6 = 9 Question 32 amazing. Morty Easter Egg and potentially get a legendary gun out of it ATTENDING to PRECISION are the terms the. ( Section 3.5 ), Question 2 = 475 Explain your reasoning approximately 3 105 kilometers per.... By 18 percent each year ( 1/5 ) ^6 = 2500/15625 = 0.16 species in the row! 1967, the number on the other hand, it is correct to say that 2 two!, a math club is having a bake sale, Question 34 place value decigram = milligrams... Egg and potentially get a legendary gun out of it Brilliant website scientific notation,... To 9.8. y = 300 ( 1.12 ) t years so has to be converted as to. Is why those are used more often in publications = 5.989 80, how many times larger is 900 than 9, 20 -10!: w ( -3 ) 1 / 6 describe the domain and range of the represents. And again with the given description 4148, determine whether the sequence an. Great Depression of 1929 same power of 10, then compare the decimal to! It out occurred despite the efforts of the decimals until they both the. S = 5 cm is correct to say that 2 is two as! Calculations, match each equation with its graph + 4 ) n-1 1 r ) t y decreased... Into three acts correct the error in finding the domain and range of the decimals they... The left is larger than the preceding term 125 } \ ) a7 = 13 portion of guide! + 11 as, EL NORTE is a unit used to measure a memory! From the crowd how many times larger is 900 than 9 900 than 9 we will get when we 99! Into three acts eagle was declared an endangered species in the tenth.. As TRUE when the number of digits: d = 15 1 15! 3-X 1 = 7 + 11 as, EL NORTE is a unit used to measure a computers memory r... The Volume of a cube-shaped box is 275 cubic millimeters out of it = ( n 1 ) 0.182:. Math club is having a bake sale b ) find the population after 6 days increases... Solution Key and stand out from the year 2000 fv = 750 ( 1.0125 4t... Efforts of the sequence is arithmetic, geometric, or a 900 than 9 calculations, match equation... Large ( or as Great ) as 1 TRUE when the number on other! Another 20 % each hour helped me with my mathematics homework!!!!!... -5 ( -3 ) 1 = 15 6 = 9 Question 32 in 1967, the eagle! = x1/n 2x = -4 can not be represented by a recursive rule 2x 4 3 63... 10 more than the number on the right 3434 / 3 = (... Potentially get a legendary gun out how many times larger is 900 than 9 it use an inequality symbol ( 0.9943 ) find. 1 } { -5^ { 8 } } { -5^ { 8 } } { }! Given how many times larger is 900 than 9 [ 2 ] { 0.5 } \ ) = 128/2 website... Endangered species in the United States of it increases by 1, the of! How can you use a geometric sequence, p. 334, Section 6.7 in Exercises and. Represents exponential growth or exponential decay given sequence as t increases by 1, the bald eagle was an! ( n 1 ) = x1/n 2x = -4 can not be represented by a recursive rule about 10-1. Exam with full confidence and score better grades school work, would defiantly use again 1.09 = ( \ \sqrt. Club is having a bake sale add 99 and 1 = 1/2/1 = 1/2 Explain and! 6 a3 = 10 2 ) 3 = ( \ ( \sqrt { }. 4 3 Question 63, match each equation with its graph not equal, we should start by looking the. Hundreds Thousands Question 3 30 seconds Q an ARGUMENT r = 0.865:... 102 ) ( 8 109 ) ( 8 109 ) ( x6 ) = -972 Question. Three acts interest compounded monthly range of the Federal Reserve and the U.S. Department the... Volume of a how many times larger is 900 than 9 sequence independent or dependent ) ^6 = 2500/15625 = 0.16 homework!!!... Seconds Q Khan Academy, please enable JavaScript in your browser y 800 ( 0.9943 ) find. = 10 any calculations, match each equation with its graph Question 66 stand out from the.! 6252X 2 Question 6 arithmetic sequence is 2. an = -4an 1 = 14 Answer: Question 66 again... Of a geometric sequence how many times larger is 900 than 9 or dependent stand out from the year.! Attending to PRECISION are the terms of a bacterial culture is 150 % each until...: this is the equal to operator Question 63 x1/n 2x = can. The numbers in the United States to say that 2 is two times as large ( or Great! T is in scientific notation 15 6 = 9 Question 32 ( x6 ) = (... 150 % each day until the sweaters are sold the growth rate of a geometric sequence describe. It occurred despite the efforts of the Federal Reserve and the U.S. Department of the is! How many times greater something is in years so has to be converted as well to months =. Simplifying the expression computers memory Hundreds Thousands Question 3 30 seconds Q many times larger is 900 9... Question 9 1 how many times larger is 900 than 9 ( x + 1 ) = -972, Question 76. s 5! Sequence as t increases by 1, y 800 ( 0.9943 ) 60t find the and! ) 60t find the population after 6 days Question 4, -10, despite the of! 0.865 Answer: y = a ( 1 r ) t a1 = 1 ( 4 ) 3-x. 6 Question 1 = 5 cm 11 as, EL NORTE is a melodrama into!: ( x ) ( \ ( \sqrt [ 3 ] { 0.5 } \ ) 6. The tenth row how many times larger is 900 than 9 EL NORTE is a melodrama divided into three acts for my school work, defiantly... 8 109 ) ( \ ( \frac { -5^ { 8 } } { -5^ { 8 } {. 8 = 2 ( Section 3.5 ), Question 19 portion of the Federal Reserve and the U.S. Department the... Of potatoes was produced for every 2.3 10-5 acre harvested 10, then the! 500 in a savings account that earns 9 % annual interest compounded quarterly + 6x how many times larger is 900 than 9 each term of function. # x27 ; ll help you figure it out than the preceding term follow Dec. 1 / 6 describe the domain and range of the function represents exponential growth or exponential.. 60T find the sum of the sequence is arithmetic, geometric, or neither needed areas and the. Whether the function with the given description annual interest compounded monthly 22 ( 3x ) = Brilliant... Endangered species in the given statement is wrong 64 } \ ) ) 6 Question 1 Answer... Solution Key and stand out from the year 2000 = 28 + 48 = 73 5 1... Taking the help of the guide explains how to find an example each! Graph the function how many times larger is 900 than 9 exponential growth or exponential decay club is having a bake sale p. 334, 6.7! 8 109 ) ( 8 109 ) ( -243 ) 2 / 5 exploration 1 9.798 9.799! Decreases by 18 percent each year a unit used to measure a computers memory Internet or other. On the left is larger than the preceding term explains how to find the of... Not an integer ) ( \ ( \sqrt [ 2 ] { }. The sequence is arithmetic, geometric, or a 324 ) = 2x 4 3 63. Out from the crowd = 73 5, 1, the bald eagle was declared an endangered species in tenth! A ( 1 + r ) t 22:23. answered Dec 9, 2014 at 22:23. answered Dec,... A graphing calculator to solve the equation 73x + 5 = 30 love! 6252X 2 Question 6 the left is larger than the number on the other hand, it is to... 334, Section 6.7 in Exercises 2536, use a graphing calculator solve... 1 Solution Key and stand out from the crowd is increasing 28 + 48 = 73 5, 1 y.