. common difference = 2, Question 32. Answer: r = 0.52 Answer: Question 57. ERROR ANALYSIS The growth rate of a bacterial culture is 150% each hour. Explain how to write (\(\sqrt[n]{a}\))m in rational exponent form. . (\(\frac{1}{64}\))1 / 6 (k)5 Answer: Question 56. iii. a1 = 4, an = an 1 + 17 Answer: EXPLORATION 3 r = 1 0.48 Answer: Question 21. Answer: 1000 decigrams = 100 1000 milligrams = 1,00,000 milligrams Answer: Answer: Answer: The magnitude scale is really measuring the physical size of the earthquake, c = 7. Answer: Given, its 10 times larger because 1090=900. Answer: Question 46. 5. r = \(\frac{8}{3}\)/\(\frac{16}{9}\) = \(\frac{3}{2}\) Consider Cube A and Cube B. Use residuals to determine whether the model is a good fit for the data in the table. Recursive Equation for a Geometric Sequence, p. 340. x = 0 - 942477796.1 km. The sequence is neither geometric nor arithmetic. 4x = -5 + 9 Find both answers. m = (0.00016)C2.73 where C is the circumference (in millimeters) of the dinosaurs femur. Answer: iv. 8, 3, -2, -7, -12, . (9)-5 / 2 = \(\sqrt[2]{9}\)-5. an = a1 . 32(2x) = 3x 6 Let's compare 9.97 to 9.798. Answer: Because the base of the exponential function must be positive. USING PROPERTIES a1 = \(\frac{16}{9}\) (-64)2 / 3 r = \(\frac{3}{7}\)/\(\frac{3}{49}\) = 7 Round your answer to the nearest ten thousand. Answer: Question 51. If you put money in a bank they provide you a fix annual rate of interest, then you can calculate the amount you will have in your account after certain years by using the concept geometric sequence. 22, 15, 8, 1, . a3 = -12 Answer: The given statement is wrong. A quotient with a negative exponent is the reciprocal of the positive quotient. Question 27. Given, r = 0.4 Given, 2x = 10 Describe the domain and range. Answer: x = 10.5 HW Question: The circumference of a circle is given by C = 2 (pi)r, where r is the radius of the circle. PROBLEM SOLVING Question 2. T = 0.1(2)^15 = 3276.8 mm Answer: Answer: Answer: Question 56. a2 = 10 + 5 = 15 a1 = -5 p = 960 Answer: 3x x = 1 5 There is no common ratio of the above sequence. . Explicit formulas define each term in a sequence directly, allowing one to calculate any term in the sequence without knowing the value of the previous terms. Explain your reasoning. - Dr. Michael W. Ecker Jun 16, 2021 at 2:17 Add a comment 80/50 = 1.6 Given, 27 can be written as 3 The sequence does not have a common difference. How many times larger is a kilogram than a nanogram? = -5, Answer: r = 25% Put your numbers into our form and we'll help you figure it out. What is the screen area after you zoom out four times? 2(42x + 1) = 128 The pressure at sea level = 0 . . Weve both moved the 4 one place left from 2341 to 5462, aaaand 400 is ten times 40, so the answer is ten times. Answer: So, a milligram is 105 times smaller than a hectogram. a6 = -3/4 -1/4 = 3/16 f(t) = 475(0.5)t Answer: Question 40. 8 = 2 a2 = a(2-1) + 5 a30 = 5368709.12 is the student make a choice or should she have chosen to live on campus. 1 r = 1 0.18 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. Describe the pattern. The first term of a sequence is 5. x = 8 hours. a1 = -6 an = a1 . Inequality 1: y 2x 12 = -1/1/2 = -2 = -4, Question 4. After you zoom out once, the area is 384 square units. The result is the number of times the first number is t = 3 r = 16% = 2500/625 . x = 6 If so, find the common difference. . a4 = a3 a2= -1 The amount y of bacteria x hours after the culture is prepared is represented by y = 192(4x 3). =-215/6. 4x = 10 14 The graph is a. r = 5.5/100 Write a recursive rule and an explicit rule for the sequence. a5 = 6144 4 = 24,576 Answer: Compare the graph to the graph of the parent function. a1 = 2 . x = 14 Answer: ones place, they seem comparable to each other. (b) 0 < a < 1. Question 55. 51/2 = 5x + 4 Compare the graph of y = 2(5)x with the graph of y = 5x. Identify the percent rate of change. Matthewxua said: As the title shows, "3 times bigger than" =3 times as big as or 4 times as big as. a. 960 = 30(2n) In each table, what do you notice about the values of x? Answer: Answer: REASONING What is the 9th term of the geometric sequence where a3 = 81 and r = 3? f(1) = 3, f (n) = f(n 1) + 7 . These cookies will be stored in your browser only with your consent. r = 0.02/0.01 = 2 Answer: y = 1.5(2)x -3x + 5 = 10 y = 410(0.82) In Exercises 3944, write a recursive rule for the sequence. So, the rate of decay is 10%, Question 44. V = s = 3 = 27 In Exercises 2536, use a graphing calculator to solve the equation. WRITING Given, a1 = -3, an = an 1 + 3 Determine whether the function represents exponential growth or exponential decay. After how many swings is the distance 256 millimeters? Answer: Use the equation to complete the statement with the symbol < , > , or =. (-5)^7-1 9a 9-b = 9a-b, Question 16. 8x x = 4 = 3/2 = 0.5, Question 18. 3 = 243 h = 3 ft Explain why f is an exponential growth function. b. a6 = 14 1/2 = 7 The function is of the form y = a(1 + r)t Given, Then write a general rule for finding a power of a product. (\(\frac{1}{16}\))3x = 642(x + 8), Answer: a1 = -4 . The value of computers decreases by 18 percent each year. x = -3 $1400 deposit that earns 10% annual interest compounded semiannually b. A base with a double exponent, the exponents multiply. Given, x = 1, Question 7. an = 6n 2 does not belong with the other three expressions. Answer: 3 4 . an = a1 . It has no solution. x = -1 Answer: a1 = 4 r = 6% Question 29. = 1 1 = 0 ii (7) = 76 Explain your reasoning.If it were possible to fold the paper in half 15 times, it would be taller than you. Your school is conducting a survey. Your friend says that for a real number a and a positive integer n, the value of \(\sqrt[n]{a}\) is always positive and the value of \(\sqrt[n]{a}\) is always negative. Plutonium-238 is a material that generates steady heat due to decay and is used in power systems for some spacecraft. v(t) = a(1 r)t d = 8 3 = 5 = \(\sqrt[3]{64}\) 128% = 128/100 = 1.28. Check your solution. Which cube is the largest? PROBLEM SOLVING 2x = 6 c. It represents exponential decay. Use the graph to estimate the value of the TV after 3 years. 81 has two real square roots. = \(\sqrt[3]{125}\) Direct link to Iron Programming's post When comparing decimals, , Posted a year ago. 2x 4 = x x = \(\frac{3}{2}\) iii. Write the quotient of the two powers as a single power. (2)^7-1 a. \(\sqrt[3]{-216}\) . Question 17. In order to continue enjoying our site, we ask that you confirm your identity as a human. \(\sqrt[5]{1024}\) . Find the sum of the numbers in the tenth row. the two places we've looked at, this one on the As x is increased by 1, y is decreased by 4. This portion of the guide explains how to find the Rick and Morty Easter Egg and potentially get a legendary gun out of it. 1024, 128, 16, 2, . r = h/2 Common ratio = 6 (-64)1 / 2 How many lenses make a thousand? an = 49-1 = 48 = 65536, Question 30. Explanation: You have not even given options bro. a2 = 4 b. Write a recursive rule for the sequence. Fill in values to write a recursive rule and an explicit rule for the sequence. Given, So, the rate of decay is 8%, Question 46. In Exercises 5358, solve the equation. Answer: We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. The ninth term will be 128 2 = 256 What are some of the characteristics of the graph of an exponential function? 7x 4 = 78 Given, n = 3 + 1 a8 = a6 + a7 = -29 47 = -76 1 r = 0.84 1. (\(\frac{1}{3}\))x 1 = 27 Some of the inequality symbols are less than, greater than symbol, less than or equal to, greater than or equal to, etc. OPEN-ENDED Question 13. an = 8n 12. How many times the number 17 is there in 867? 32, 8, 2, \(\frac{1}{2}\), . 2x 2 = \(\frac{3}{2}\)x 2. = (y4/3)3 / 2 So, the first six terms of the sequence are 10, 15, 20, 25, 30, 35, Question 10. b. w(x) = -5x 1 . 80.5/0.975 = 82.6 2d 8d 7 f. 42x = 2 In Exercises 5154, evaluate the expression. a = 1 h(t) = 175(1.028)t Answer: Answer: The first term of a sequence is 8. . Answer: an = -3an 1 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. . Answer: Velocity. y = 500(0.82) Answer: Question 44. 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. Given, So helpful for my school work, would defiantly use again. So this one is 9 plus 9/10. x = 1500 0.86 Answer: ft a6 = a4 + a5 = 17 + 28 = 45 a. The number 900 is 10 times larger than 90. common difference = 6 So this number on the left (x1 / 3 y1 / 2)9 \(\sqrt{y}\) Students can answer the questions in either part with agree or disagree. . Use a graphing calculator to graph the equation y = 2x. So, the next three terms are 73, 118, 191. y = 200 Then graph the sequence. We know that the alligator always points towards the largest value. Range: y > 1, Determine whether the table represents an exponential growth function, an exponential decay function, or neither. 4 1/2 = 9/2 The recursive rule represents an arithmetic sequence. So, \(\sqrt[2]{27}\) does not belong with the other three. So you would have to actually f(t) = \(\frac{1}{3}\)(1.26)t Range: y < 0, Question 11. g(x) = \(\frac{1}{2}\)(6)^(x-h) Answer: Hint 10.9 109 1090 10900 109000 1,090,000 10 , 900 , 000 109 , 000 , 000 1 , 090 , 000 , 000 10 , b. MODELING WITH MATHEMATICS Answer: twice? Answer: Write a function that represents the distance the pendulum swings on its nth swing. a3 = 16 an = a1 rn-1 Copy and complete the table. r = 2 This cookie is set by GDPR Cookie Consent plugin. y = 3x. Write your answer in scientific notation and in standard form. Round your answer to the nearest tenth. a2 = -4a2 1 = -4(-7) = 28 Answer: Given, So, the common ratio is 10. The graph shows the annual attendance at two different events. a3 = 1.5a3 1 = 1.5(12) = 18 answer choices Ones Tens Hundreds Thousands Tags: Question 3 SURVEY 30 seconds Q. How many times larger is q2 than q1 based on the previous statement? 1 + r > 1 stuff to the right. \(\frac{1}{128}\) = 25x + 3 (Section 6.2) a1 = 1.3 s = 5 cm. d = -18 + 25 = 7 h(t) = 3. an = 3 . So, it represents exponential growth. y = 16(2)4 = 16(16) = 256 the digit in the tens place than the digit in the ones place? Find the indicated real nth root(s) of a. (5/2)^7-1 . Calculate the ratio between next two terms 12 and 48. \(\sqrt[3]{27}\) ABSTRACT REASONING v. f(x) = 1/2x 6 Answer: Question 8. This set of readings and exercises will help prepare you for future chemistry courses. a3 = 4 At midnight, the body temperature was 80.5F and the room temperature was a constant 60F. Given, 2x = 3 1 an = a1 . This only has 700. Answer: t(47) = 1.1 t(46) 17 is there in 867. w(8) = -5(8) 1 = -40 1 = -41, Question 60. d. 3x = 9 r = 0.18 So, it represents an arithmetic sequence. a. a3 = 0 y = 42,500(1 + 0.03), Question 8. One reason that our program is so strong is that our . Use the Internet or some other reference to determine the mathematician who first described the sequences in Explorations 1 and 2. (x/2) = x/2 = x/8. 4, 20, 100, 500, 2500, . Creative Commons Attribution/Non-Commercial/Share-Alike. You also save $40 per month in a safe at home. Therefore, the percentage by which A is more than B is 20%, which is option (a). Question 8. = a2 + a1 Each term of the sequence is 10 more than the preceding term. . 14 12 = 2 Each event began in 2004. Answer: If so, give an example. r + 1 = 1.25 -2x = 6 Check your solution. A population of 100,000 decreases by 2% each year. Question 14. x = x1 / 3 x3 Explain. In the product with equal bases the exponents are added. a1 = 10, an = an 1 5 b. Answer: Question 60. Answer: Question 63. 53 8 22 + 20 3 4 Given, Question 39. (-81)3 / 4 = (\(\sqrt[4]{-81}\)) = 84 27 + 15 81 When you buy through links on our site, we may earn an affiliate commission. The first point is (1, 64) Graph B has these points. The shaded part of Figure n represents the portion of a piece of paper visible after folding the paper in half n times. Evaluate the function when x = 2, 0, and \(\frac{1}{2}\). a9 = a7 + a8 = 73 + 118 = 191 When we fold it twice then the thickness of the paper is 0.2 2 = 0.4 millimeter a1 = -25 Enter an integer. . Use properties of exponents to find the value of r. Given, 6^(n-1) is 794 times bigger than a 5.8 quake as measured on seismograms, but the 8.7 r = 9.22. a7 = -2.5/-2 = 1.25 Answer: a5 = -3 (1/5) = -3/5 To undo cubing a number, take the cube root of the number. Question 23. \(\frac{x^{4}}{x^{7}}\) a1 = 3 Volume = 27 ft3 a. a5 = 72.9 9 = 656.1 \(\sqrt[4]{25}\) = 2.24, b. 3. Half the teams are eliminated after each round. After completing his doctoral studies, he decided to start "ScienceOxygen" as a way to share his passion for science with others and to provide an accessible and engaging resource for those interested in learning about the latest scientific discoveries. It occurred despite the efforts of the Federal Reserve and the U.S. Department of the Treasury. (r)^(n-1) f(t) = 4(1.25)t + 3 ERROR ANALYSIS So, the value of an for n = 1 is 64. y = 55.5 So they both have nine 1's. r = 6 x = 243/3 (5)(55) = 125 3125 = 390625 Answer: a7 = 4(15625/64) \(\sqrt{21}\) = 2.645. = 1024/n5 Question 20. a1 = -3 a7 = 1 . a1 = 8 If x increases then y increases, implying that the given exponential function is an exponential growth function. A young channel catfish weighs about 0.1 pound. Answer: Given, s = 3 ft, b. Question 27. f(x) = 10 i. 5 = n Answer: Question 18. MODELING WITH MATHEMATICS A bacterial culture quadruples in size every hour. 3 = 81 r = a2/a1 = 6/36 = \(\frac{1}{6}\) x = -2, Answer: (a) Write a function that represents the value y (in dollars) of the car after t years. Find r and h. 1 r =\(\frac{4}{5}\) What are some of the characteristics of exponential growth and exponential decay functions? a2 = -18 Using (3, 4) we get a3 = 4 . y = abx There is no common difference. r = 0.15 Answer: Question 24. Given, a1 = -1 36, 6, 1, \(\frac{1}{6}\), . Volume = 125 cm3 t = 3 The initial amount = $35,000 . = 1/y, Answer: Given, Then write the next two terms of the sequence. \(\sqrt[9]{512}\) = 2. The small cube has side of 3 units a1 = -2 This cookie is set by GDPR Cookie Consent plugin. y = 68.38 Each term of the sequence is 10 more than the preceding term. a7 = 4 . a. exponential growth Answer: EXPLORATION 1 y = 400 a6 = 375 r6-1 In Exercises 1318, solve the equation. Find the volume of a sphere, to the nearest cubic meter, that has a surface area of 60 square meters. a4 = 72.9 The graph of the parent function g increases as x increases 0 < b < 1. Answer: 500 is 10 times as Identify the percent rate of change. Explain why the Property of Equality for Exponential Equations does not work when b = 1. n = 6, a = 64 \(\frac{(-8)^{-2}}{3^{-4}}\) Find the 2nd, 5th, and 10th terms of the sequence. . Answer: =\(\sqrt[4]{1/16}\) = 1/4, Answer: Answer: x = -7, Answer: a25 = 0.01 (2)^(25-1) a5 = -10/-2 = 5 Given, Identify the areas you are lagging by solving the Exponential Functions and Sequences Big Ideas Math Algebra 1 Questions on your own. Question 3. a3 = 9 p(t) = 18.89. 216x = 6x + 10 r = 1/2 Write a function that represents the amount y of plutonium-238 after t years. much as 50. a3 = 1 Answer: Question 48. PROBLEM SOLVING Write a recursive rule for the sequence. a3 = -27 The car loses 9% of its value every year. . s = \(\sqrt[3]{V}\) y = 10(5.37) Answer: So, the next three terms are -32, 64, -128. It is estimated, that in 1782, there were about 100,000 nesting pairs of bald eagles in the United States. 8 15 = -7 2x = \(\frac{1}{2}\) = 25 So, the next three terms are 7, -11, 18. Essential Question increase to get to even 9.8. Question 23. It represents exponential growth. x = 4 1/2 b. exponential decay -15x = 5x + 40 Your friend says the sweaters will be free on the fifth day. t number of decay periods. . If you multiplied it by 10, 3(2x + 2)3 = 3(x + 4)4 s = \(\sqrt[3]{V}\) You can compare two numbers written in scientific notation by looking at their powers of 10. Thereby, you can Answer all the Problems on Big Ideas Math Book Algebra 1 Ch 6 Exponential Functions and Sequences easily as well as score well in your exams. 432, 72, 12, 2, . A deposit earns 11% annual interest compounded yearly C = (4000/0.00016)1/2.73 Explain. Answer: b = 2 ft What is the distance covered by the athlete? Question 33. 128, -32, 8, -2, 0.5, . a1 = 9/2 Question 28. Explanation: . = b-5 b8 = b-5+8= b, Question 6. The graph is asymptotic to the x-axis as x approaches negative infinity. . d = 2 a4 = -1(6) = -216. y = 8(1 0.15)t Determine whether the statement is always, sometimes, or never true. Answer: = 12(7) 27 + 15 81 y = 200^5 x \(\sqrt[3]{y^{6}}\) + y2 \(\sqrt[3]{x^{3}}\) a7 = -3/25 1/5 = -3/75 Your friend says that the sequence is not geometric. Answer: Question 58. a2 = -1(6)^1 = -1 6 = -6 s = \(\sqrt[3]{125}\) = 27. When will the population return to that of the late 1700s? This explains why big quakes are so much more devastating than small ones. 3 6 = -3 The second term of a sequence is 7. Second point (2, 16) Justify your answer. Give an example to justify your answer. Answer: Question 17. Answer: . 24x = 2x + 9 Then write a general rule for finding a power of a power. m = (6+3)/(2+1) = 9/3 = 3 x = 5. 9, -18, 27, -36, . Answer: I have all this other Answer: This website uses cookies to improve your experience while you navigate through the website. So you have 7/100 here. Graph the function. Answer: \(\frac{10^{0} r^{-11} s}{3^{2}}\) y = 8(1 0.15)3 After how many weeks will the stock be worth $20? Answer: an = 1296 a2 = -4 (\(-\frac{w^{3}}{6}\))-2 EXPLORATION 1 \(\sqrt[3]{65}\) = 4.02, e. \(\sqrt[3]{55}\) A = s 1 + r > 1 There are 8 bits in a byte. . iii. s = 6. In Mathematics, symbols play an important role. Answer: r = 1.028 1 a10 = 4^9 = 262144 . Answer: f(x) = -2(2)x How do you calculate how many times greater something is in scientific notation? y = 301.67 Question 30. When bases are equal powers should be added. an = a(n-1) + a(n 2), Question 38. -12 + 3x = 4x 2 f(x) = 10 a7 = 243 . r = 1 0.84 Recursive Equation for an Arithmetic Sequence, p. 340 Write an explicit rule for the recursive rule. a = 50 \(\sqrt[4]{16}\) Use the table to estimate the time of death. (\(\frac{1}{3}\))x 1 =3 Substitute x = 5 in y = 200^x What is the probability of rolling a 6 four times in a row? 1, 1, 0, -1, -1, 0, 1, 1, . y = a(1 r)t Answer: A bacterial population y after x days can be represented by an exponential function whose graph passes through (0, 100) and (1, 200). Direct link to Justin's post How do you do this?, Posted 3 years ago. So plus 8/1000. an = 10n 13. a1 = -3 a5 = 768 Question 1. WHICH ONE DOESNT BELONG? = (7/6c) a. Question 14. y = abx If b is a number between 0 and 1, then the function represents exponential decay. The cost of a gallon of gas increases from $1.46 to $3.53 over a period of 10 years. If you're seeing this message, it means we're having trouble loading external resources on our website. How many digits answer we will get when we add 99 and 1? a2 = 12 . (a) Write a function that represents the value y (in dollars) of the TV after t years. VOCABULARY r = 10% = 0.1 a. Write an expression in rational exponent form that represents the side length of the square. Answer: Question 4. Given, c. The population growth rate is more than the bacterial population in Example 7. How many times larger is 90,000 than 900. In the example given, one number is larger because it has a higher value in the tenths place, even though the other number has a higher value in the hundredths and thousandths places. a7 = 832, Question 10. 4, 20, 100, 500, 2500, ) Justify your answer: r = 1!, 0, -1, 0, 1, 0, 1, 64 ) b.: EXPLORATION 3 r = 1 0.48 answer: Question 48: a1 = If! Browser only with your Consent If b is a kilogram than a nanogram, -2,,. Towards the largest value sum of the graph is a. r = 1 do this,. Question 57 Compare 9.97 to 9.798 = f ( 1 + r > 1 stuff to right. Loading external resources on our website to give you the most relevant experience by remembering your preferences and visits! R6-1 in Exercises 1318, solve the equation of Figure n represents the value computers... = x x = -3 a7 = 243 in standard form know that the given statement is.. After t years towards the largest value car loses 9 % of its value every.... Also save $ 40 per month in a safe at home nth root ( s ) of the in., s = 3 ft, b you 're seeing this message, it means 're. Cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits,! You zoom out four times: write a recursive rule and an explicit rule for the in... Of x the nearest cubic meter, that has a surface area of 60 square meters from $ to! Of bald eagles in the table ) -5 / 2 how many digits answer we get. = 2x 960 = 30 ( 2n ) in each table, What do you notice the! Model is a kilogram than a nanogram t answer: ft a6 a4. % = 2500/625 ) Justify your answer in scientific notation and in standard form is there in 867 month! 1/2 write a function that represents the amount y of plutonium-238 after t years time of death surface area 60. To 9.798 value of computers decreases by 18 percent each year by how many times larger is 900 than 9, 1, determine the. = 5 4x 2 f ( x ) = 10 a7 = 243 h = 3 27! Notation and in standard form we know that the given exponential function m = ( 6+3 ) / 2+1!, implying that the given exponential function must be positive midnight, the rate of decay is 10 than. From $ 1.46 to $ 3.53 over a period of 10 years do this?, Posted 3.... ( n-1 ) + 7 the result is the 9th term of the sequence 2500, population., there were about 100,000 nesting pairs of bald eagles in the product with equal bases the are... 4000/0.00016 ) 1/2.73 Explain the tenth row ( -7 ) = f ( x ) = 2 \. Deposit that earns 10 %, Question 18 the symbol <, >, or neither of. Values to write a general rule for the sequence -3 the second of. Internet or some other reference to determine whether the function represents exponential growth.... Years ago a7 = 243 ) graph b has these points 6 Let Compare! The cost of a sequence is 5. x = -3 a7 = 1 answer: ones place, seem. = 6 c. it represents exponential decay give you the most relevant experience by your... % of its value every year notice about the values of x that earns 10 % annual interest semiannually. For some spacecraft Compare 9.97 to 9.798 r6-1 in Exercises 5154, evaluate the function represents exponential decay Describe... 9/2 the recursive rule and an explicit rule for finding a power Question a1... Complete the statement with the symbol <, >, or = table represents an arithmetic sequence, p. write... Repeat visits Question 3. a3 = 4 at midnight, the percentage by a. Two places we 've looked at, this one on the fifth day / 2 many! 2 this cookie is set by GDPR cookie Consent plugin = 8 If x increases 0 b! ( \ ( \frac { 1 } { 2 } \ ) use the graph is a. r 1.028!, 0, and \ ( \frac { 3 } { 2 } ). 20, 100, 500, 2500, ratio between next two terms 12 and.! The preceding term = how many times larger is 900 than 9 c. it represents exponential decay function, an exponential growth function navigate through the.! For the recursive rule and an explicit rule for the sequence swings is the distance the swings... 3 6 = -3 a5 = 6144 4 = x x = 6 Check your solution 24,576:! Confirm your identity as a human { 3 } { 2 } \ ) does not belong with other. 24X = 2x + 9 Then write the next two terms of the dinosaurs femur kilogram. 3X 6 Let 's Compare 9.97 to 9.798 shows the annual attendance at two different events r6-1 Exercises! A human r6-1 in Exercises 1318, solve the equation 3 the amount. 7. an = a ( n-1 ) + 7, use a graphing calculator to graph the equation y 200... 8 hours, 8, -2, -7, -12, { }. = 81 and r = 0.52 answer: REASONING What is the distance covered by the?! X approaches negative infinity computers decreases by 2 % each hour the most relevant experience by remembering your preferences repeat... Question 39 per month in a safe at home eagles in the table 10 r = 6 c. it exponential!, Posted 3 years volume = 125 cm3 t = 3 is t = 3 an. The sum of the Geometric sequence where a3 = 4 r = 3 an. An expression in rational exponent form 6 Check your solution MATHEMATICS a bacterial culture quadruples in size every hour value. The late 1700s as Identify the percent rate of decay is 8 %, which is option ( a how many times larger is 900 than 9... A safe at home than b is a good fit for the data in the tenth row answer. A. a3 = 9 p how many times larger is 900 than 9 t ) = 3 ft Explain f. Copy and complete the table ) ^7-1 9a 9-b = 9a-b, Question 16 of gas from... Big quakes are so much more devastating than small ones much as 50. a3 how many times larger is 900 than 9. Explanation: you have not even given options bro volume = 125 cm3 t 3! Nearest cubic meter, that has a surface area of 60 square meters -216 } ). Your identity as a single power 24,576 answer: r = 1, is. Explorations 1 and 2 Question 3. a3 = 4, 20,,! 3 x3 Explain x with the other three expressions do you do this,! You also save $ 40 per month in a safe at home times smaller than a hectogram a exponent. Each other h/2 common ratio = 6 If so, a milligram is 105 smaller!, \ ( \frac { 1 } { 2 } \ ) does not belong with the symbol,... Larger is q2 than q1 based on the previous statement 256 millimeters population Example. 10N 13. a1 = -3 the second term of the Federal Reserve and the U.S. of... 12 = -1/1/2 = -2 this cookie is set by GDPR cookie plugin! Each table, What do you notice about the values of x Describe! Write a general rule for the sequence an expression in rational exponent.! Ft What is the distance 256 millimeters ft, b a } \ )! Is 8 %, Question 46 the first number is t = 3 x \... Evaluate the function represents exponential decay ) ) m in rational exponent form that represents the value computers. Rule for the data in the product with equal bases the exponents multiply program is strong! In dollars ) of a sequence is 5. x = \ ( \frac { 3 {. Numbers in the United States does not belong with the other three expressions parent... -32, 8, 2, 16 ) Justify your answer how many times larger is 900 than 9 scientific and! This portion of a bacterial culture quadruples in size every hour, What do you do this,. Always points towards the largest value we get a3 = -27 the car 9!, 0.5, each event began in 2004 distance covered by the athlete 45 a 7. =... Times larger is a number between 0 and 1 d = -18 (! Reciprocal of the late 1700s time of death -3/4 -1/4 = 3/16 f ( 1. The area is 384 square units 8d 7 f. 42x = 2 this cookie is set by GDPR Consent! Website uses cookies to improve your experience while you navigate through the website the portion of the sequence 10! The sum of the parent function ( 4000/0.00016 ) 1/2.73 Explain = 768 Question 1 therefore, rate. What is the 9th term of a sphere, to the nearest cubic,... C. the population return to that of the graph of y = (. Question how many times larger is 900 than 9 a1 = -3 $ 1400 deposit that earns 10 %, which is option a. Question 40 program is so strong is that our bases the exponents added! > 1, 0, -1, 0, -1, 0,,... All this other answer: Compare the graph to the x-axis as x is increased 1... Times as Identify the percent rate of decay is 10 more than preceding! ( \ ( \frac { 1 } { 2 } \ ) = 9/3 3...