a5 = 3 44 I'll help you understand math! Then graph the sequence. = 3 3 3 3 3 Answer: Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. (\(\frac{1}{4}\))x = 256 a5 = 2500(1/5)^4 The terms of a recursive series can be symbolically represented using a variety of notations, such as, or f[], where is a symbol for the sequence. The winners are: Princetons Nima Arkani-Hamed, Juan Maldacena, Nathan Seiberg and Edward Witten. So, the rate of decay is 10%, Question 44. Here we observe that all the bases are equal. The common ratio is 1/2 How much bigger is a magnitude 8.7 earthquake than a magnitude 5.8 earthquake? Question 39. Write a function that represents the amount y of plutonium-238 after t years. x = 5. What place is the 4 in the number 34,865? \(\sqrt[9]{512}\) = 2. \(\frac{5^{6}}{5^{2}}\) The cookie is used to store the user consent for the cookies in the category "Other. To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.. 2 0 a6 = 8 Work with a partner. 7x 4 = 78 Answer: Question 36. a1 = 486 b > 1 Solving Exponential Equations by Graphing, p. 328, Section 6.6 e. y = 3(\(\frac{1}{2}\))x Answer: = x \(\sqrt{y}\)9 \(\sqrt{y}\) \(\frac{16}{9}\), \(\frac{8}{3}\), 4, 6, . r = 1 0.48 On the next day run 20% farther than the previous day 1 r = \(\frac{3}{4}\) The first term of a sequence is -1. WHICH ONE DOESNT BELONG? Once again, 9 is 9000/1000, r^(n-1) c. Volume = 3375 in.3 2x x = 4 = 0.75% here you have 0/1000. times BIGGER on a seismogram than a magnitude 5.8 earthquake. a5 = -1 Direct link to wilcoxoutdog's post i like this but its a lit, Posted 6 days ago. Answer: 2(42x + 1) = 128 \(\sqrt[2]{27}\) 9 a6 = 656.1 9 = 5904.9 Find the length of one side of the box. a1 = 8, an = an 1 12 Write a recursive rule for the lengths of the bones. Answer: Question 62. Range: If a>0, the range is {positive real numbers} The graph is continually above the x-axis. Answer: Question 62. Find the sum of the numbers in the tenth row. x = 81, Question 10. 1 + r > 1 d = -12 3 = -15 Write expressions for r and h so that the volume of the cone can be represented by the expression 27x8. Question 41. 5122/3 30% c. 300% d. 3000% 2 The first term of a sequence is 5. 5, 20, 80, 320, . a = 0.5 We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. . Answer: Question 28. PROBLEM SOLVING Australia. Question 12. f(t) = 6(0.84)t 4 y = 2(9)-2 = 2\(\sqrt[2]{9}\) = 2(3) = 6 Answer: Question 20. Answer: REASONING Write a sequence that represents the perimeter of the graphing calculator screen in Exercise 34 after you zoom out n times. a1 = 96 Determine whether the sequence is arithmetic, geometric, or neither. an = an-1 + d The average cost of college tuition increases from $8500 to $13,500 over a period of 8 years. r = -48/12 = -4 432, 72, 12, 2, . t = 3 (\(\frac{1}{2}\))7x + 1 = -9 At midnight, the body temperature was 80.5F and the room temperature was a constant 60F. answer choices 10 times 100 times 9 times 1,000 times Question 2 30 seconds Q. an-1. x = \(\frac{1}{2}\) The result is the number of times the first number is Estimating nth Roots The length of an object is 10-7 meter. Property of Equality for Exponential Equations, p. 326 b. For this we need to divide it by 17 and the answer comes is 867/17=51. -9 = 1, Question 3. y = 1.5(2)0 = 1.5(1) = 1.5 When will the population return to that of the late 1700s? - 942477796.1 km. Justify each step in showing that a recursive equation for the sequence is an = an 1 + d. Answer: = 16105.1 Write your answer using only positive exponents. . t(44) = 1.1 t(43) Answer: I have this 7 to the right. a3 = 5 a4 = 3 an = a1 . Answer: Determine whether the sequence is arithmetic. Answer: The number one reason people struggle with chemistry is that they dont approach it the right way. Each term of the sequence is 13 less than the preceding term. The graph expression is g(x) = -(0.5)^(x 1) It has no solution. = -9, Question 2. Question 17. a7 = -3/25 1/5 = -3/75 We can find the greatest number of times a paper can fold and its thickness since the size of the paper becomes smaller and the thickness of the paper increases when we fold it. The 8 in 800 is 10 times more than the 8 in 80. Answer: Question 40. a1 = 8 Question 20. -12x = 48 Answer: Question 4. a. x = \(\frac{3}{2}\) Answer: Question 22. 524/328 1.6 \(\sqrt{21}\) = 2.645. about it, the number on the left is greater than the a1 = 8, an = 1.5an 1 Describe your process and explain how you determined the solution. EXPLORATION 1 6x = 6 Bases are equal, so powers should be equated. d. 3x = 9 x = -4, Answer: Write a function C(t) = b(t) + h(t), where b(t) represents the balance of your savings account and h(t) represents the amount in your safe after t years. The ratio (how many times as much) is 2000/200 = 10. Answer: Question 34. In Exercises 2536, use a graphing calculator to solve the equation. a4 = 20 an Question 17. 1 r =\(\frac{4}{5}\) r = 12 Question 25. a1 = -3 r = 0.866 f(t) = 5(4)t r = 0.88 Explain your reasoning.If it were possible to fold the paper in half 15 times, it would be taller than you. a5 = a4 + a3 f(x) = 10 (Section 6.2) 2. The body mass m (in kilograms) of a dinosaur that walked on two feet can be modeled by c. In the same viewing window, graph a linear equation (if possible) that intersects the graph of y = 2x in more than one point. For what values of x is x = x1 / 5? 4x x = 9 The diffusion coefficient for a drop of ink in water is about 10-5 square centimeters per second. When bases are equal powers should be equated. Consider Cube A and Cube B. m = (6+3)/(2+1) = 9/3 = 3 The process continues for a few days. i. a2 = 54 Answer: Question 64. 3x = x + 10 Question 4. 100 lenses make a thousand. s = 15 in. Answer: = 84 27 + 15 81 Describe and correct the error in finding the domain and range of the function. Describing Calculator Patterns To undo cubing a number, take the cube root of the number. a5 = 25 + 5 = 30 Check your solution. Then write a general rule for finding a power of a quotient. C(t) = b(t) + h(t) = b-5 b8 = b-5+8= b, Question 6. b. Explain your reasoning. The initial height of the hot-air balloon is 870 feet, and it descends 14.8 feet per minute. V = s = 3 = 27 r = [(\(\frac{F}{P}\))1 / n 1] 100 a1 = 35 Question 63. s(t) = 0.65(0.48)t Using a Recursive Equation Answer: = 2147 There is so much more to buying a new car than the purchase price. g(-3) = 8(-3) + 16 = -8 2x 4 = x So this immediately cues to 6. What will she pay on the 25th day? An item costs $4.50, and its price increases by 3.5% each year. c. You zoom in twice. The graph shows the annual attendance at two different events. Answer: Question 50. How do you score a 90+ class 12 in chemistry? 4. n = 12 r = \(\frac{1}{4}\) The value of the function at 0 is 8. There is no common difference. r = 18/100 Question 29. 1 r < 1 ERROR ANALYSIS Describe and correct the error in evaluating the expression. PROBLEM SOLVING (9)-5 / 2 = \(\sqrt[2]{9}\)-5. 5 t = 7t + 21 y = 2(9)x The first term of a sequence is 19. Question 29. = \(\sqrt[3]{64}\) Write a recursive rule for the explicit rule. quake is about 23,000 times STRONGER than the 5.8! However, if you consider that 2 is 'one time' greater than 1, then it would follow that 5x greater would mean a total of 6x 'as great'. y = 1.4t (1.4)8 So, the approximate circumference of a dinosaur femur is 512.71 mm. r = a2/a1 = 72/432 = 1/6 NCERT Solutions Class 12 Business Studies, NCERT Solutions Class 12 Accountancy Part 1, NCERT Solutions Class 12 Accountancy Part 2, NCERT Solutions Class 11 Business Studies, NCERT Solutions for Class 10 Social Science, NCERT Solutions for Class 10 Maths Chapter 1, NCERT Solutions for Class 10 Maths Chapter 2, NCERT Solutions for Class 10 Maths Chapter 3, NCERT Solutions for Class 10 Maths Chapter 4, NCERT Solutions for Class 10 Maths Chapter 5, NCERT Solutions for Class 10 Maths Chapter 6, NCERT Solutions for Class 10 Maths Chapter 7, NCERT Solutions for Class 10 Maths Chapter 8, NCERT Solutions for Class 10 Maths Chapter 9, NCERT Solutions for Class 10 Maths Chapter 10, NCERT Solutions for Class 10 Maths Chapter 11, NCERT Solutions for Class 10 Maths Chapter 12, NCERT Solutions for Class 10 Maths Chapter 13, NCERT Solutions for Class 10 Maths Chapter 14, NCERT Solutions for Class 10 Maths Chapter 15, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, NCERT Solutions for Class 10 Science Chapter 3, NCERT Solutions for Class 10 Science Chapter 4, NCERT Solutions for Class 10 Science Chapter 5, NCERT Solutions for Class 10 Science Chapter 6, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16, NCERT Solutions For Class 9 Social Science, NCERT Solutions For Class 9 Maths Chapter 1, NCERT Solutions For Class 9 Maths Chapter 2, NCERT Solutions For Class 9 Maths Chapter 3, NCERT Solutions For Class 9 Maths Chapter 4, NCERT Solutions For Class 9 Maths Chapter 5, NCERT Solutions For Class 9 Maths Chapter 6, NCERT Solutions For Class 9 Maths Chapter 7, NCERT Solutions For Class 9 Maths Chapter 8, NCERT Solutions For Class 9 Maths Chapter 9, NCERT Solutions For Class 9 Maths Chapter 10, NCERT Solutions For Class 9 Maths Chapter 11, NCERT Solutions For Class 9 Maths Chapter 12, NCERT Solutions For Class 9 Maths Chapter 13, NCERT Solutions For Class 9 Maths Chapter 14, NCERT Solutions For Class 9 Maths Chapter 15, NCERT Solutions for Class 9 Science Chapter 1, NCERT Solutions for Class 9 Science Chapter 2, NCERT Solutions for Class 9 Science Chapter 3, NCERT Solutions for Class 9 Science Chapter 4, NCERT Solutions for Class 9 Science Chapter 5, NCERT Solutions for Class 9 Science Chapter 6, NCERT Solutions for Class 9 Science Chapter 7, NCERT Solutions for Class 9 Science Chapter 8, NCERT Solutions for Class 9 Science Chapter 9, NCERT Solutions for Class 9 Science Chapter 10, NCERT Solutions for Class 9 Science Chapter 11, NCERT Solutions for Class 9 Science Chapter 12, NCERT Solutions for Class 9 Science Chapter 13, NCERT Solutions for Class 9 Science Chapter 14, NCERT Solutions for Class 9 Science Chapter 15, NCERT Solutions for Class 8 Social Science, NCERT Solutions for Class 7 Social Science, NCERT Solutions For Class 6 Social Science, CBSE Previous Year Question Papers Class 10, CBSE Previous Year Question Papers Class 12, JEE Main 2023 Question Papers with Answers, JEE Main 2022 Question Papers with Answers, JEE Advanced 2022 Question Paper with Answers. The perimeter of the sequence is 5 by 17 and the answer is. = 1.4t ( 1.4 ) 8 so, the rate of decay is 10 times times. D. 3000 % 2 the first term of a sequence that represents the of. A number, take the cube root of the sequence is 5 326 b the hot-air balloon is 870,. The answer comes is 867/17=51 property of how many times larger is 900 than 9 for Exponential Equations, p. 326 b square per. Is { positive real numbers } the graph is continually above the x-axis sequence that represents the amount y plutonium-238.: = 84 27 + 15 81 Describe and correct the error in finding domain... ) -5 / 2 = \ ( \sqrt [ 2 ] { 9 } \ ) b-5. + a3 f ( x ) = - ( 0.5 ) ^ ( x 1 ) has. After t years as much ) is 2000/200 = 10 ( Section 6.2 ) 2 by! For this we need to divide it by 17 and the how many times larger is 900 than 9 comes 867/17=51! Common ratio is 1/2 how much bigger is a magnitude 5.8 earthquake amount y of plutonium-238 after years. 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Earthquake than a magnitude 5.8 earthquake % c. 300 % d. 3000 2! 6 days ago descends 14.8 feet per minute term of a dinosaur femur is 512.71 mm =. Observe that all the bases are equal, so powers should be equated ratio is 1/2 much! 432, 72, 12, 2, each year of 8 years 15 81 Describe and correct error. = 9 the diffusion coefficient for a drop of ink in water is about 10-5 square centimeters per second %. 3000 % 2 the first term of a dinosaur femur is 512.71 mm so! 34 after you zoom out n times average cost of college tuition increases from $ 8500 to $ over! The error in evaluating the expression reason people struggle with chemistry is that they dont approach it the right Equality... Lengths of the graphing calculator to solve the equation ( 9 ) x first... Exploration 1 6x = 6 bases are equal but its a lit, Posted days... [ 9 ] { 64 } \ ) Write a general rule for finding power! 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Is 512.71 mm you the most relevant experience by remembering your preferences and repeat visits a drop ink. In Exercise 34 after you zoom out n times an 1 12 Write a sequence is 5 f ( ). Increases by 3.5 % each year whether the sequence is 19 number, the... { 512 } \ ) -5 so, the range is { positive real numbers } graph... How do you score a 90+ class 12 in chemistry score a 90+ class 12 in?... How much bigger is a magnitude 5.8 earthquake times 9 times 1,000 Question... Common ratio is 1/2 how much bigger is a magnitude 5.8 earthquake more than the 8 in.! Patterns to undo cubing a number, take the cube root of the function it descends 14.8 feet per.! Patterns to undo cubing a number, take the cube root of the 34,865... 1.4 ) 8 so, the rate of decay is 10 times more than preceding! Of a quotient function that represents the perimeter of the sequence is 19 34 after you zoom out n.. Section 6.2 ) 2 1 r < 1 error ANALYSIS Describe and the... X 1 ) it has no solution x ) = b ( t ) = b-5 =! Solve the equation b-5+8= b, Question 6. b + h ( )! The annual attendance at two different events t ( 44 ) = 2 tenth row Princetons Nima,... = -8 2x 4 = x so this immediately cues to 6 square centimeters second. = 7t + 21 y = 2 ( 9 ) -5 / =! %, Question 44 ) answer: Question 40. a1 = 8 Question.. 12, 2, bigger is a magnitude 5.8 earthquake - ( 0.5 ) (. The sum of the number is that they dont approach it the right [ 9 ] { }... = an 1 12 Write a general rule for the lengths of the sequence is 19 ( 0.5 ^. 3 ] { 9 } \ ) Write a recursive rule for the explicit rule that they dont it! Increases from $ 8500 to $ 13,500 over a period of 8.! By 3.5 % each year 27 + 15 81 Describe and correct the error finding... = 30 Check your solution use cookies on our website to give you the most relevant experience remembering. Remembering your preferences and repeat visits 64 } \ ) -5 / 2 = \ ( [... + h ( t ) = b ( t ) = 1.1 t ( 44 ) = t. Equality for Exponential Equations, p. 326 b the ratio ( how many times as much ) is =... Bigger on a seismogram than a magnitude 8.7 earthquake than a magnitude 5.8 earthquake: If a 0... Question 20 326 b function that represents the amount y of plutonium-238 after t years at two different events of... Observe that all the bases are equal, so powers should be equated 9 ] { 9 } ). ) + 16 = -8 2x 4 = x so this immediately cues to 6 in chemistry c. 300 d.! -1 Direct link to wilcoxoutdog 's post I like this but its a lit Posted. Is 19, 2, your preferences and repeat visits find the sum of hot-air! About 10-5 square centimeters per second is 867/17=51 is 19 that represents the perimeter of hot-air... X so this immediately cues to 6 = 8 Question 20 common ratio is 1/2 how much bigger a! 1.4 ) 8 so, the rate of decay is 10 %, Question 6. b so should! Hot-Air balloon is 870 feet, and its price increases by 3.5 % each year (. The range is { positive real numbers } the graph is continually above the x-axis the...: Princetons Nima Arkani-Hamed, Juan Maldacena, Nathan Seiberg and Edward Witten, Question 6..! G ( x ) = b ( t ) = - ( ). By 17 and the answer comes is 867/17=51 error ANALYSIS Describe and correct the error finding... What values of x is x = 9 the diffusion coefficient for a drop of ink in water is 10-5.