A function g models a relationship in which the dependent variable is multiplied by 4 for every 2 units the independent variable increases. Given, x = 3 + 1 r = 0.91 How much bigger is a magnitude 8.7 earthquake than a magnitude 5.8 earthquake? 52x = 5x + 1 increase to get to even 9.8. x = 3 +log 200000 log (192)/log (4) Direct link to maxsussyboi 's post .. 9=9 9 > 7 so 9.97 >, Posted a year ago. Answer: . Answer: Question 17. Answer: a1 = 5 Each term of the sequence is 13 less than the preceding term. Question 7. V = s f(t) = 5(1 + 3)t The initial height of the hot-air balloon is 870 feet, and it descends 14.8 feet per minute. If you multiplied it by 10, 8x 2 = \(\sqrt{8}\) . Explain your reasoning. The volume of the dodecahedron is 20 cubic feet. w(0) = -5(0) 1 = 0 1 = -1 Answer: Question 54. Multiply first equation by -3 an = 1(4)n-1 . Domain: All real numbers USING PROPERTIES a2 = \(\frac{8}{3}\) 5x + 12x = 17x, Question 62. Is your friend correct? Find and interpret the y-intercept. x = 0 these all up and have two fractions over Given, Domain: [0, 8]. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. Question 47. Answer: Question 12. Answer: a6 = 375 -5 = -1875 y = 21,500(0.91)12. Question 20. Answer: Use the graph to estimate the atmospheric pressure at an altitude of 5000 feet. This only has 700. a5 = -1 WHAT IF? Given, Any number to the power 0 is always 1. a2 = -4 (\(\frac{1}{3^3}\))4-x = 32(2x-1) Answer: So no matter how you think r = a2/a1 = 112/224 = 1/2 Explain how you found your answer. Explain your reasoning. What does C(t) represent? How many times larger is q2 than q1 based on the previous statement? \(\sqrt{64}\) = \(\sqrt{8}\) = 8, Question 5. Your examples should be different than those given in Explorations 1 and 2. The recursive rule is represented by the formula. Properties of Exponential Growth Functions . THOUGHT PROVOKING Find the sum of the terms of the geometric sequence. C. The initial height of the hot-air balloon is 870 feet, and it ascends 14.8 feet per minute. It does not store any personal data. d. Is it possible for an exponential equation to have no solution? L = \(\sqrt[4]{16}\) . (-9) = (\(\sqrt[2]{-64}\)) The parent function is g(x) = (\(\frac{1}{3}\))x. Answer: Question 1. Answer: Question 58. 2.5x 3 = 2.5 Range: y > 1, Determine whether the table represents an exponential growth function, an exponential decay function, or neither. How many times larger is 900 than 9? Answer: Question 71. (1 r) decay factor a2 = -3(4) = -12 g(0) = 8(0) + 16 = 10 a1 = 10, an = an 1 5 r^(n-1) Given, Explain your reasoning. y = -8(0.75)x + 2 2 9a 9-b = 9a-b, Question 16. a3 = 4 (1/2)^(n-1). Question 23. an = -4 . d = 6 (-3) = 6 + 3 = 9 MAKING AN ARGUMENT Compare the graph to the graph of the parent function. Answer: Then write a general rule for finding a power of a power. 82.6/0.975 = 84.7 iv. Recall that a perfect square is a number with integers as its square roots. Determine whether the function represents exponential growth or exponential decay. 9 7 = 2 d. 3x = 9 x = 9/3 How can you solve an exponential equation graphically? Explain how to write (\(\sqrt[n]{a}\))m in rational exponent form. Let us assume that initially, at x = 0, the number of nesting pairs are 1188 and observations are made after every 5 years. Answer: Answer: Question 6. Use properties of exponents to find the value of r. Question 4. d. 8,000 is 10 times as much as 800. In Exercises 914, determine whether the sequence is arithmetic, geometric, or neither. \(\frac{10^{0} r^{-11} s}{3^{2}}\) a3 = a1 + a2 = 5 + 6 = 11 -2x + 4 = 10 Describe and correct the error in finding the domain and range of the function. On day 1, you run 1 km. Question 3. h(t) = 175(1.148) Answer: y = -6x + 7 Any number to the power 0 is always 1. 2d 7 8d A seed from an orchid has a mass of 10-6 gram. Question 49. Question 60. What place is the 4 in the number 34,865? This set of readings and exercises will help prepare you for future chemistry courses. How did you apply what you know to simplify the complicated situation in Exercise 56 on page 297? Answer: a3 = 15 + 5 = 20 So, the rate of decay is 10%, Question 44. Answer: . \(\sqrt{5}\) = 5x + 4 a2 = 1 = 18 Answer: y = 50(1.11) Round your answer to the nearest ten thousand. The population of a city has been increasing by 2% annually. Answer: Learn More. an = 5 (-2)9-1 = 5 256 = 1280, Question 31. 1024, 128, 16, 2, . The sequence does not have a common difference. 13, 26, 52, 104, . Write and graph an exponential function f represented by the table. = -6 + 14n 14 8 4 + 20 . Find f(-7). 6, 3, 0, -3, . How bad of an alcoholic do you have to be to have your brain affected? EXPLORATION 1 y = 16(2)10 = 16(16) = 16384. Answer: an = -81(\(\frac{2}{3}\))n 1 Question 23. What Happens: You incorrectly read or do not understand directions. (\(\frac{1}{4}\))x = 4-4 Question 55. Answer: a1 = 2 Thus the y-intercept is at the point (0, 1). 6 + 7 = 13 a5 = 1.5a5 1 = 1.5(27) = 40.5 r = 12 What is the next term of this sequence? common ratio = 375/-75 = -5 n = 3 Answer: r = 32/64 a4 = 2 3276.8 mm = 3267.8/10 cm = 326.78 cm How many teams remain after the third, fourth, and fifth rounds? To explore the answers to this question and more, go to, Answer: How many times greater is Justify each step in showing that a recursive equation for the sequence is an = an 1 + d. Not sure which number is the larger one. Direct link to Sean Ocampo's post I know how this works int, Posted 5 months ago. an = a(n-1) + d What is 5 times greater than 4? common difference = 2, Question 32. ii. (y y1 / 3)3 / 2 (x4) = x8, d. What happens when you find a power of a product? (-9) = 81, the square roots of 81 are \(\sqrt[2]{81}\) = 9, Question 10. y = 0.5(0.015) 5x 4 = 8 . f. 42x = 2 Some of the inequality symbols are less than, greater than symbol, less than or equal to, greater than or equal to, etc. ii. Answer: USING PROPERTIES Write the first six terms of the sequence. Explain. Question 61. (\(\frac{1}{64}\))1 / 6 = \(\sqrt[6]{1/64}\) = \(\frac{1}{2}\), Question 34. y = 2(9)x Question 7. -2, -12, -72, -432 = 1 + 1 = 2 9, 14, 20, 27, . Question 24. 4x = -4 NUMBER SENSE During a flu epidemic, the number of sick people triples every week. Answer: Question 62. 2x = 2 Thank you Byjus. The sequence is 96, 384, 1536, P = 1400 So, on the 7th day he reached about 3 km, Question 1. (y) = y9 Answer: 3x + y = 12 and 3x + 2y = 12 . a = 900 a3 = a(3-1) + 5 4, 12, 36, 108, . s(t) = 0.65(0.48)t an = r . Answer: y = (1 0.09)t . Write an exponential growth function that represents the weight of the catfish after t weeks during the 8-week period. Answer: Use the graph to estimate the value of the car after 12 years. (b) 0 < a < 1. 1. a1 = 80, an = \(\frac{1}{2}\)an 1 y = 1.5(2)\(\frac{1}{2}\) =1.5\(\sqrt[2]{2}\). a11 = a10 a9 Answer: Question 2. Assume that a and b are the two numbers, the symbolic representation of the two numbers is given by: The standard form to represent the greater than or less than the number is given as: In Maths, equality and inequality symbols are used to compare the two numbers. . 3 = 243 Answer: Question 70. 8 = 2 I'll help you understand math! Given, . The first two terms of a sequence are a1 = 3 and a2 = -12. r = 0.1 Determine whether the table represents an exponential growth function, an exponential decay function, or neither. k = 4 1 Answer: Question 12. A sales report shows that 3300 gas grills were purchased from a chain of hardware stores last year. Then graph the sequence. r = 2 Percentage = 0.12%. Explain your reasoning. Explain. \(\sqrt[4]{16}\) (r)^n-1 n 1 = 1.09/0.182 a7 = (-5)^6 Answer: Born and raised in the city of London, Alexander Johnson studied biology and chemistry in college and went on to earn a PhD in biochemistry. Binary acids are all written in H-A form, which means hydrogen bond to a nonmetal atom. \(\frac{-5^{8}}{-5^{4}}\) x = -2 Copy and complete each table for the exponential function y = 16(2)x. Then write the next three terms of the sequence. Answer: In order to define a sequence recursively, we must state the first term and then state a rule for how each successive term can be described from the one before it. WHAT IF? USING STRUCTURE Answer: So, it represents exponential growth. b. Please post comments like this in the tips and thanks section next time! PROBLEM SOLVING a6 = a4/a5 Question 11. Answer and Explanation: Hence, the number 400 is 10 times larger than 40 . -4 6 = 64x t = 5 Answer: In Exercises 5760, write a function that represents the balance after t years. common ratio = 64/16 = 4 Solving Exponential Equations Graphically a. The rate of change is constant. Answer: y = 500(1 + 6.5%) FV = P(1 + r)nm x = 2 after 40 years \(\sqrt[2]{25}\) = -5, Question 11. Select all the functions whose x-value is an integer when f(x) = 10. This cookie is set by GDPR Cookie Consent plugin. Question 67. PROBLEM SOLVING a = 8 78.5/80.5 = 0.975 a5 = 3 -1/4 = -3/4 Use the graph to estimate the population after 4 years. One of the smallest plant seeds comes from an orchid, and one of the largest plant seeds comes from a double coconut palm. CRITICAL THINKING Is the sequence shown an arithmetic sequence? Question 41. Answer: has a 9 in the tenths place, while the number on the right Answer: Question 67. \(\sqrt[5]{34}\) = 341 / 5. Question 4. . d = 1.3 Direct link to Hira Umar's post I am a professional at de, Posted a year ago. Work with a partner. . Question 4. Then write the next two terms of the sequence. a7 = 3072 -4 = -12288 So, it is not arithmetic. a5 = -3 (1/5) = -3/5 Question 5. B = \(\sqrt[6]{64}\) . exponential decay? C2.73 = (4000/0.00016) x = 6/2 a7 = 1 Answer: an = 10n 13. Answer: The sequence is neither arithmetic nor geometric sequence because it does not have any common difference. So, the common ratio is \(\frac{1}{6}\). = 243, Answer: P = 3500 Explore our library of Big Ideas Math Algebra 1 Answers Chapter 6 Exponential Functions and Sequences and become proficient in all the concepts underlying. y 5 = 0(x 2) Answer: Question 3. Answer: Weve got your back. 27x = 9x 2 Answer: It occurred despite the efforts of the Federal Reserve and the U.S. Department of the Treasury. r = -1/2 Then find a9. It involves the study of physical properties and constitution of matter, the laws of chemical combination, and theories governing chemical reactions. Explain your reasoning. = 5(1 + 0.12246)t So, the first term of the sequence is -3. y = 3.2 10^11 Answer: r = ak/ak-1 = 8/ak-1 = 0 Explain your reasoning. t = 3 Given, This is amazing for greater than and less than mt child Kulture loves this. a25 = 167772.16 3/2x = 6 The index n = 9 is odd Answer: How are they different? x = 0 91.4/0.975 = 93.7 328/205 = 1.6 = t 12 months An equation of the line of best fit is y = 870 14.8t. The three given functions describe the amount y of ibuprofen (in milligrams) in a persons bloodstream t hours after taking the dosage. see a difference. So, the table represents the exponential decay function. Check your answer. Answer: Answer: f(1) = 4, . 5 t = 7t + 21 Question 3. b = 1 + r Answer: The greater than symbol is generally remembered using the alligator method. The yearly percent change is 300. The curve is similar and the quadrants of the graph is different. Answer: an = -2(9)^(n-1). r = 0.52 c. You zoom in twice. The statement x1 / 3 = x-3 is always true. Explain how writing a function in Exercise 39 part (a) on page 337 created a shortcut for answering part (b). y = 20,000(1 0.866)t. Question 31. Write a recursive rule and an explicit rule for the sequence. Your friend says that the seed from the double coconut palm has a mass of about 1 kilogram. a7 = 432(1/46656) a1 = 5, an = an 1 4 1.3, 2.6, 3.9, 5.2, 6.5, . = 13 + 8 a3 = -12 important comparison. a4 = -3 Thank you very much for your cooperation. ., -8, 0, 128, -32, 8, -2, 0.5, . a = 12 and r = 0.05 or 5% When bases are equal powers should be equated. an = 8n 12. = 1280 = -7 + (16/16) + (10 16) Answer: Question 8. Question 38. differences are huge. Write an exponential function that represents this situation. MODELING WITH MATHEMATICS The radius r of the base of a cone is given by the equation r = (\(\frac{3 V}{\pi h}\))1 / 2 an = a1 rn-1 c = 7. Answer: Question 50. Simplify the expression . Given, = -6, Question 16. x = 0, 1, 2 1 r = 1 0.18 How can you define a sequence recursively? Question 9. 2x + 1 = 0 Answer: = -12, Question 4. Answer: There is so much more to buying a new car than the purchase price. The body mass m (in kilograms) of a dinosaur that walked on two feet can be modeled by when bases are equal powers should be equated Answer: Use Steps for Solving an Exponential Equation with Different Bases. 0.1, 1, 10, 100, . 84.7/0.975 = 86.9 b. Graph the function. = 2147 1.6 a4 = a2 + a3 = 6 + 11 = 17 Organic chemistry focuses on organic matter. y = 5(1.08)t After how many days will 1296 people have received the email? x = \(\frac{1}{2}\) Answer: Question 64. There are 90 centimeters in 900 millimeters. \(\sqrt[4]{25}\) = 2.24, b. Answer: In Exercises 512, evaluate the expression. So, the first six terms of the sequence are 10, 15, 20, 25, 30, 35, Question 10. 1 r = 0.09 z-2+4= z, Question 5. Answer: Question 15. Given, Find the area of the bake sale sign. So, the annual inflation rate to the nearest tenth of a percent is 58.8%, Monitoring Progress and Modeling with Mathematics. y = 275.6 You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. Answer: 4 625 = 54 Answer: a1 = -7, an = -4an 1 = y. a3 = 56 Answer: REASONING a5 = 3 44 Decide whether the sequence is arithmetic, geometric, or neither. . Then find a6. b. A recursive rule gives the first term or terms of a sequence and describes how each term is related to the preceding term(s) with a recursive equation. Question 53. A company profit of $20,000 decreases by 13.4% each year. = (7/6c) As a result of the EUs General Data Protection Regulation (GDPR). Answer: Answer: The graph of g is a translation 4 units up and 3 units right of the graph of f(x) = 5x. The cookie is used to store the user consent for the cookies in the category "Performance". Compare exponential growth and exponential decay. a7 = 13 64 d. y = (\(\frac{1}{2}\))x A client has answered some questions in a query, so youre able to edit the _________ ones. When bases are equal powers should be equated. Describe the domain and range. Answer: Explain. 16 can be written as 24 36, 6, 1, \(\frac{1}{6}\), . r = 0.9/0.1 = 9 y = -3x . b(t) = 9000(1 + 0.036/12)12t . After how many clicks on the zoom-out button is the side length of the map 2560 miles? Compare the account balances. Work with a partner. Answer: Question 35. a2 = \(\frac{1}{4}\)a2 1= \(\frac{1}{4}\)(32) = 8 Given, an = 1296 b. The graph c. Question 69. 5462 = 5000 + 400 + 60 + 2 and 2341 = 2000 + 300 + 40 + 1, so that's another way to look at it. Answer: In Exercises 1520, evaluate the function for the given value of x. = -1025n-5, Answer: \(\sqrt[2]{0.5}\) = 0.707, c. \(\sqrt[5]{2.5}\) Given y = 12(1.276) r = 11/4 = 2.75 . Question 53. y = 2(9)-2 = 2\(\sqrt[2]{9}\) = 2(3) = 6 How do you score a 90+ class 12 in chemistry? MODELING WITH MATHEMATICS When you buy through links on our site, we may earn an affiliate commission. a1 = 4, an = an 1 + 5 Explain. . This has 7/10. 3x = 243 It represents exponential decay. The function is an increasing function; y will increase as x will increase. r = 1/2 -2x = 10 4 How much water at 32c is needed to just melt 1.5 kg of ice at -10c? Answer: a6 = 24 + 5 = 29, Answer: Write an equation that represents the nth term of the geometric sequence. a6 = 30 + 5 = 35 log 200000 log (192) = (x 3)log 4 Is your friend correct? \(\sqrt[n]{x}\) = x1/n . r = 12 f(n) = f(n 2) + f(n 1) Explain. h(t) = 175(1.028)5 a1 = 0.1 The small cube has side of 3 units 8, 3, -2, -7, -12, . \(\sqrt[5]{-243}\) So, the arithmetic sequence is -7. in a different color. Use an equation to justify your answer. x = 2 Find a formula (for instance, from geometry or physics) that contains a radical. a8 = a6 + a7 = -29 47 = -76 In Exercises 1926, identify the initial amount a and the rate of decay r (as a percent) of the exponential function. Given, b. y = 2(3)x (a) Write a function that represents the balance after t years. g(x) = 8x + 16 r = 0.26 y = 301.67 y = a(1 + r)t You store blankets in a cedar chest. Question 61. Answer: Velocity. Graph the function. 8x 2x = -2 + 8 53x+8= 52x Answer: Question 16. an-1. a2 = 54 2x = 6 Question 77. 2x + 1 = 0 Brilliant website! r = 0.08 y = 3(1.88)t b. Graph the functions from part (a) in the same coordinate plane. MAKING AN ARGUMENT Answer: MODELING WITH MATHEMATICS You start a chain email and send it to six friends. b. Rewrite each fraction from part (a) in the form 2x. p = 960 an = -2 .(6)^(n-1). Answer: Question 31. Explain your reasoning. From the graph, the domain is all real numbers and the range is y > 0. c. What is the yearly percent change? d = 8 3 = 5 f(t) = 0.4 (1.16)t/(1.16) In Exercises 3740, solve the equation by using the Property of Equality for Exponential Equations. WRITING Give an example of an equation in the form y = abx that does not represent an exponential growth function or an exponential decay function. Hence, the number 400 is. Share. Question 14. an = a1 rn-1 So, the thickness of the paper = T(2)^m. In Exercises 2934, write a recursive rule for the explicit rule. Student A claims he can form a linear system from the equations shown that has infinitely many solutions. y future value c. 2x = \(\sqrt{2}\) 3, 6, 12, 24, 48, . When bases are equal powers should be equated. y = \(\frac{1}{4}\)x + 7 r^(n-1) V = 1/6(3.14)S3 / 2 r = 0.12 In a more formal sense, chemistry is traditionally divided into five major subdisciplines: organic chemistry, biochemistry, inorganic chemistry, analytical chemistry, and physical chemistry. Answer: Question 16. So, the next three terms are 5, -2.5, 1.25. A company profit of $20,000 decreases by 13.4% each year. \(\frac{-5^{8}}{-5^{4}}\) = 0.75 Answer: Question 40. The length of an object is 10-7 meter. Answer: Range: y > 0, Answer: s = 15 in. Question 10. 3 = 0 Answer: Question 44. On the next day run 20% farther than the previous day So, the next three terms are 4, 0.8, 0.16, Question 6. Question 1. . . 6x 3x = 3 an = -n + 1 . It is rounded to 1,160,000. Usually acids can be divided into three major types. So 9 is the same Question 43. Answer: Question 38. (9)-5 / 2 = \(\sqrt[2]{9}\)-5. Answer: 3 4 These cookies track visitors across websites and collect information to provide customized ads. a2 = 0.02 (a) a > 1 and THOUGHT PROVOKING The table shows the numbers of bytes in several units of measure. And here you have 9/100. Apply square root on both sides 5-2x + 3 = -6x + 5 256 can be written as 44 Answer: Question 13. a1 = 32 At sea level, Earths atmosphere exerts a pressure of 1 atmosphere. The process continues for a few days. In Exercises 710, find the indicated real nth root(s) of a. 3 = (1.2)^(n-1) ii (7) = 76 960/30 = 2n HOW DO YOU SEE IT? population in ninth year = 1342 1.6 y is multiplied by a constant factor, the function is not exponential. WRITING Compare the two sequences. Thus the volume of the cedar chest is 48 cu. C, H) to which they are bonded. 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.. t = t/12 This represents a geometric sequence. Answer: Answer: Question 48. Answer: Question 65. a = 1 5) = (10) = 100 Any number to the power 0 is always 1. (\(\frac{1}{4}\))x = 44 Given, A population of 100,000 decreases by 2% each year. Write your answer in scientific notation and standard form. a5 = 28 1/2 = 14 53 8 22 + 20 3 4 y = 200 . Consider the following recursive equation. m = (6+3)/(2+1) = 9/3 = 3 128, -32, 8, -2, 0.5, . Plutonium-238 is a material that generates steady heat due to decay and is used in power systems for some spacecraft. . an = -4n + 2 The car loses 9% of its value every year. (-64)1 / 2 r = 0.12246 a. So, the common ratio is -5. r = a2/a1 a6 = 3 a6 = 4/1 = 4 9, -18, 27, -36, . The solution is x 5.29. C(t) = b(t) + h(t) So, it represents exponential decay. Work with a partner. Answer: If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive. The explicit rule represents a geometric sequence with first sequence $6200 deposit that earns 8.4% annual interest compounded monthly (4/3) = (64/27) Given, y = 200000 Rewrite the problem using the same base. = -8 \(\frac{1}{125}\) c-12. (x1 / 3 y1 / 2)9 \(\sqrt{y}\) Then, as you know, you can always add a zero after the decimal point and it won't change the value of the number. Australia. Answer: Question 63. . r = 0.4 r = a2/a1 Answer: C = (25,000,000)1/2.73 Explain how you can use mental math to solve the equation 8x 4 = 1. Which rule does not belong with the other three? an = a1.r^(n-1) 5, -10, 20, -40, . a5 = 19 + 5 = 24 a5 = 25 + 5 = 30 Answer: The table shows the basal areas (in square inches) of Tree A over time. Question 45. In general, whenever y is n times larger (or greater) than x. we can say also that y is (n+1) times as large as x. s = 6. 1. Answer: Question 54. Fill in values to write a recursive rule and an explicit rule for the sequence. a2 = 4 + 5 = 9 Answer: Answer: Question 17. What are some of the characteristics of exponential growth and exponential decay functions? Question 41. 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. Question 55. magnitude 5.8 to equal the energy released by one magnitude 8.7 event. d = 20 a. The graph D has same points so that is a graph for option a. WRITING The graph is a. r = 5.5/100 Question 49. Answer: = 1/y, Answer: The speed of light is approximately 3 105 kilometers per second. Identify the initial amount, decay factor, and decay rate. Answer: Area of circle with radius r is r a1 = -1 I have this 98 to the right. Which cube is the largest? When bases are equal powers should be equated. a. Answer: Question 36. As x increases by 1, y increases by multiple of 6. r = 0.05 f(4) = 5(256) Answer: If you're seeing this message, it means we're having trouble loading external resources on our website. . Write an exponential function f so that the slope from the point (0, f(0)) to the point (2, f(2)) is equal to 12. Given, Answer: 729^\(1 / 6\) Question 39. -3, 12, -48, 192, . = 3 (-4) = 7 MAKING AN ARGUMENT You are given two consecutive terms of a sequence. . a5 = -4a5 1 = -4(448) = -1792 What is the length? This is an amazing website and has really helped me with my mathematics homework!!! Many found the CBSE 12th Term 2 Chemistry paper to be tricky. A microscope magnifies an object 105 times. I already used blue. -25, -18, -11, -4, . 25/2 = 2 = 8 Question 5. And then finally, a3 = 15 a5 = 72.9 9 = 656.1 Find a3 b3. Solving an Exponential Equation Graphically The y-intercept occurs on a graph when x = 0. d. Volume = 3.375 m3 an = an 1 + 5 Answer: x 2x = 12 Question 20. 839/524 1.6 So this one is 9 plus 9/10. Answer: Question 8. Answer: Question 45. (x1 / 3 y1 / 2)9 \(\sqrt{y}\) y = abx x = 4 1/2 Answer: an = a1. The large cube is 3 times larger on each side. an = a1 . Explain your reasoning. a1 = 400 x = 1. So, it represents exponential growth. . a1 = 9/2 Use a cube root symbol to write the side length of each cube. y = 14.76(1.4)t -864 = 64x, Question 23. How many times greater is the value of the 4 in 5462 than the value of the 4 in 2341? In Exercises 5 and 6, rewrite the expression in radical form. y = 53.7 Find the population in the tenth year. Answer: Do NOT follow this link or you will be banned from the site! r = 26/13 form a geometric sequence? The rate of change is less than 1. I am also a part of Byjus premium since 2020 and it is just amazing .. an = 0.01 (2)^(n-1) y6/y5 = 1.43 A deposit earns 11% annual interest compounded yearly . Use a calculator to approximate the circumference of its femur. a30 = 5368709.12 (b) Find the approximate monthly percent decrease in value. v(5) 11.760.7 Thus we can see that the original temperature 98.6F was at 4 p.m. 1500 0.86^t = x And here-- let me do that common difference = -1. Answer: So, a magnitude 8.7 Why are t statistics more variable than z scores. = 5(1.12246)t r = 0.5 A data set consists of the heights y (in feet) of a hot-air balloon t minutes after it begins its descent. It is estimated, that in 1782, there were about 100,000 nesting pairs of bald eagles in the United States. y = a(1 r)t Question 6. x = 5 Given, MODELING WITH MATHEMATICS a = 500 7 5 = 2 iii. a3 = 40 5 = 200 . a3 = -4a3 1 = -4(28) = -112 (\(\sqrt[5]{-21}\))6 x = 32 has a 7 in the tenths place. 4. an = an-1 + 1/4. d = -18 (-25) 3, 12, 48, 192, . Determine whether the table represents an exponential growth function, an exponential decay function, or neither. 2x + 4 = 3x 1 -8 3 = -11 . Describing Calculator Patterns This course is often referred to as the pre-med killer because it actually has caused many pre-med majors to switch their major. The cost of a gallon of gas increases from $1.46 to $3.53 over a period of 10 years. - 2,580,363.576 km. Play this game to review Other. The fourth root of 16 is 2 b. Section 6.1 y = 3500(1.023)4t. y = 2(9)x a5 = -3(-108) = 324 Put your numbers into our form and we'll help you figure it out. 34+2 = 36, Question 4. a1 b1 = 2 1 = 1 Identify the areas you are lagging by solving the Exponential Functions and Sequences Big Ideas Math Algebra 1 Questions on your own. Answer: Question 18. number of thousandths. a7 = 3072 4 Answer: is 794 times bigger than a 5.8 quake as measured on seismograms, but the 8.7 Given 12, 14, 16, 18, . 30% c. 300% d. 3000% 2 Answer: Answer: WRITING Explain your reasoning. answer choices 10 times 100 times 9 times 1,000 times Tags: Question 2 SURVEY 30 seconds Q. 3/2x = 10 4 answer choices Ones Tens Hundreds Thousands Question 3 30 seconds Q. (4)^10-1 Tn = a + (n 1)d y = 4681 grills in 6 years. (42x + 1) = 4 Answer: Question 66. In the grammar books I read, all agrees that 3 times bigger than means 4 times as big . hundredths place yet. = 25y8/4x4, Question 5. to explain, which is why those are used more often in publications. Question 57. t(46) = 16105.1 n = 7 Write an explicit rule and a recursive rule for the sequence. Given, Question 17. x = -4. 2x x = 4 6 = 6^(n-1) c. 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