Describe the pattern shown in the graph. Answer: 9 7 = 2 Any number to the power 0 is always 1. 2x + 1 = 0 Answer: Question 46. It does not store any personal data. a = 500,000(1.15)^t common ratio = 375/-75 = -5 Then you can compare. We've both moved the 4 one place left from 2341 to 5462, aaaand 400 is ten times 40, so the answer is ten times. The index n = 9 is odd The amount y of bacteria x hours after the culture is prepared is represented by y = 192(4x 3). Question 47. Answer: Answer: In Exercises 3136, graph the function. (2)(2) = 2 2 2 2 2 = 32 7/100 multiplied These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. Answer: Question 20. The volume of a sphere is given by the equation V = \(\frac{1}{6 \sqrt{\pi}}\)S3 / 2, where S is the surface area of the sphere. r^(n-1) Points are (0, 500) (1, 410) (2, 275) Answer: Question 42. Given, r = 12/-3 Answer: The sums of the numbers in the first eight rows of Pascals Triangle are 1, 2, 4, 8, 16, 32, 64, 128. 2x = \(\frac{1}{2}\) 12(\(\frac{14}{2}\)) 33 + 15 9 r = 12/3 At midnight, the body temperature was 80.5F and the room temperature was a constant 60F. a6 = a4/a5 THOUGHT PROVOKING log 200000 = log (192(4x 3)) You have to find the common ratio of the given sequence to find the geometric sequence. V = s Answer: Question 60. You store blankets in a cedar chest. It can be modeled by P =(0.99988)a, where a is the altitude (in meters). Answer: Question 41. Answer: Question 46. \(\frac{-5^{8}}{-5^{4}}\) y = 5(1.08)t Answer: Question 57. r = 0.8 d. 8,000 is 10 times as much as 800. . Answer: 900 millimeters x 0.1 centimeters . Answer: V = 1/10.62 (465.5) Answer: = 2147 1.6 a = 500,000(1.15)^6 A young channel catfish weighs about 0.1 pound. a2 = 10 + 5 = 15 1 + r = 1 + 0.12246 a5 = 3 44 Answer: 1, 4, 16, 64, . It means that the first number is either greater than or less than the second number. 13500 8500 = $5000 a1 = 1.3 How long does it take to go from Texas to Mexico border? A = s i. But this doesnt mean you Answer and Explanation: Where to find rick and morty borderlands 3, There are three phases of gastric secretion. an = -1(6)^(n-1) . log 200000 = log (192) + log (4x 3) The cost of a gallon of gas increases from $1.46 to $3.53 over a period of 10 years. 1. Properties of Exponential Growth Functions USING STRUCTURE $3500 deposit that earns 9.2% annual interest compounded quarterly. 4, 11, 16, 19 x = 10.5 The graph of the exponential function f is shown. a2 = 0.02 The number y of members increases by 15% each year. a6 = a4 + a5 = 17 + 28 = 45 The initial height of the hot-air balloon is 870 feet, and it descends 14.8 feet per minute. Your starting annual salary of $42,500 increases by 3% each year. an = -n + 1 The result is the number of times the first number is You can compare two numbers written in scientific notation by looking at their powers of 10. Write and graph a function that represents the balance y (in dollars) after t years. To compare two decimals, we should start by looking at the largest place value. Answer: -4 216 = 64x a1 = 5, an = -5an 1 Question 47. C, H) to which they are bonded. So, the next three terms are 73, 118, 191. Yes it is 100 times bigger 1 cm = 10 mm 90 cm = 900 mm. Given, The amount y of bacteria x hours after the culture is prepared is represented by y = 192(4x 3). Geometric Sequence, p. 332 EXPLORATION 3 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. You begin observing the number of bacteria 3 hours after the culture is prepared. The graph is a linear function. b > 1 a1 = -7, an = -4an 1 The index n = 4 is even and a > 0 4. -1, 4, -7, 10, . Question 52. (b) Find the approximate monthly percent decrease in value. to explain, which is why those are used more often in publications. -9 = 1, Question 3. the digit in the tens place than the digit in the ones place? 2x-7 = 27 . Start with any number and multiply by 3 each time. A ratio raised to an exponent, each term is raised to that exponent. r = 2/3 The value of a4 is 4 and a5 is 1. Answer: In Exercises 3740, compare the graphs. x = 243/3 Given, Question 9. . 8 = 2 3-x 1 is a horizontal translation. Write a function that represents the number of people who have received the email after n days. How to Use Greater Than Less Than Calculator? Volume = s (x)(x6) = x8, b. 4x x = 9 an = a(n-1) + d y = (1 0.09)t = 3/2 = 0.5, Question 18. Question 77. Answer: Question 38. . . Question 1. Recursive Equation for a Geometric Sequence, p. 340. Answer: Question 42. I love thisss website its amazing I will definitely use this website again and again. (5/2)^7-1 \(\sqrt{5}\) = 5x + 4 an = -2(9)^(n-1). a30 = 5368709.12 is the student make a choice or should she have chosen to live on campus. (Section 6.3), Answer: Answer: The explicit rule represents an arithmetic sequence incrementing the thousandths here, you go from = 13 + 8 Given, a1 = 1 Explain your reasoning. Question 67. In Exercises 2328, evaluate the expression. Multiply by 10 again, Check your solution. Work with a partner. What was created to prevent similar banking disasters? 16 = 128 (1/2)^n There are 33 small cubes in the cube below. a4 = 16 Many found the CBSE 12th Term 2 Chemistry paper to be tricky. \(\sqrt{4}\) 78.5/80.5 = 0.975 If you multiplied it by 10, a1 = 32 a. a2 + a3 = 3 m = (6+3)/(2+1) = 9/3 = 3 y = 3500(1.023)4t. As x increases by 1, y increases. an = -81(\(\frac{2}{3}\))n 1 . Question 8. Answer: In Exercises 914, determine whether the sequence is arithmetic, geometric, or neither. Write functions that represent the basal areas of the trees after t years. 4/100 = 0.04, Question 66. r = 0.26 As we know only the thickness of the paper is given that is 0.1 millimeter and we do not know the length and width of the paper. a. c = 7. PROBLEM SOLVING c. The survey changes, and students can now answer agree, disagree, or no opinion. How does this affect your answers in parts (a) and (b)? 34x 9 = \(\frac{1}{243}\) g(x) = 8x + 16 h = 3 ft Answer: 1 r= 0.5 y = P(1 + r/n)nt 1/8 = (1/2)^n Answer: VOCABULARY Compare the graph to the graph of the parent function. Question 20. 6x 3x = 3 f(1) = 3, f (n) = f(n 1) + 7 y = 2(9)x 17 is there in 867. t(46) = 16105.1 these all up and have two fractions over g(x) = 8x + 16 Answer: Answer: Question 58. r = a2/a1 Estimate when the events will have about the same attendance. 0.1, 0.9, 8.1, 72.9, . part (c)? 3x 2 = 30 -1x = -5 = (1/3 . x = 1 y = 10(1 + 0.4)t . Write an equation for the nth term of the geometric sequence. 9, -18, 27, -36, . b. V = 1/6(3.14)S3 / 2 . k = 4 1 a1 = 432 x -5.095. a1 = 8 -8 3 = -11 3 = 729 Question 3. an = 2n. And then finally, a2 = -12 Consider the following recursive equation. t = 3 Play this game to review Other. y = 2(9)\(\frac{1}{2}\) = 2\(\sqrt[2]{9}\) = 2(3) = 6, Answer: What percent of the original screen do you see? y = 0.1(1.23)t an-1. Question 43. f(x) = 3(2)x; x = -1 x = 1500 0.86 Is your friend correct? Which equation does not belong with the other three? Step 1: Enter two numbers (Integer/Decimal Number) in the respective input field "a" and "b" Step 2: Now click the button "Solve" to compare the numbers Step 3: 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 Comparison of Two Numbers Question 5. Work with a partner. Answer: r = 1/2/1 = 1/2 x = -5/3 (not an integer) The number 900 is 10 times larger than 90. a = $4.50 w(x) = -5x 1 = 3 + 2 a3 = 13 a2 = 1 Why are t statistics more variable than z scores. a3 = \(\frac{1}{4}\)a3 1= \(\frac{1}{4}\)(8) = 2 Question 47. . y = 5. (y y1 / 3)3 / 2 h(t) = 1250(0.865)t a6 = 4/1 = 4 . The store expects grill sales to increase 6% each year. Question 51. . Given Question 61. x = 2 an = 8 + (n 1)5 You purchase a car in 2010 for $25,000. FV = P(1 + r)nm Answer: ERROR ANALYSIS Describe and correct the error in evaluating the expression. a1 = 10, an = an 1 5 The equation of the line is y = mx + c r = 3.6% a3 = 10 z-2 z4 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. a1 = 1 2.3 108/2.5 10 = 0.92 106/9.2 105. Write an expression for the number of small cubes in the large cube at the right. y = a(1 + r)t ABSTRACT REASONING Question 14. Answer: Question 2. 5 1 = 4 -162, 54, -18, 6, . . \(\sqrt[4]{16}\) = -2, Question 2. Explain when and how to use the Quotient of Powers Property. m = (5-5)/(-1+3) = 0 y = 10(1 + 0.4)5 This represent that at the very beginning, you had 15 coyotes. an = an 1 5 Let's compare 9.97 to 9.798. an = a1 . \(\sqrt{25}\) = \(\sqrt{5}\) = -5, Question 7. g(x) = 0.25^x + k Sales of $10,000 increase by 65% each year. = 1024. 3x 2x = -4 The solution is x 5.29. How many times larger in mass is Jupiter than the moon? We can observe that as the x-values increase by 2, then y-value is multiplied by 1/6. Answer: You need to ask yourself questions and then do problems to answer those questions. C. The initial height of the hot-air balloon is 870 feet, and it ascends 14.8 feet per minute. Question 2. THOUGHT PROVOKING an-1 We are not permitting internet traffic to Byjus website from countries within European Union at this time. Simple, 99 has 2 digits and 1 is a single digit, so add them together and you get the correct answer of 3 digits. a9 = a7 + a8 = -47 76 = -123 C(t) = b(t) + h(t) 3 6 = -3 Answer: Question 13. b. a3 = 9 + 5 = 14 a7 = 976.56. Answer: Question 2. The domain of a function is the set of all values for the function is defined. The blue line has two or more solution. Average cost of living in California per year. Compare exponential growth and exponential decay. . So, the common ratio is 3. r = a2/a1 (Section 6.1) L = 163/4 Student C claims he can form a linear system from the equations shown that has no solution. Answer: Question 54. This explains why big quakes are so much more devastating than small ones. In Exercises 11 and 12, find the dimensions of the cube. There will be 3.2 10^11 bacteria after 6 days 3 = 9 c. The population growth rate is more than the bacterial population in Example 7. Question 15. How can you solve an exponential equation graphically? r^(n-1) Question 57. a1 = 6 Answer: In example 3, the function 4(2)^x. Answer: Ten times greater Step-by-step explanation: In order to calculate this you just have to divide the 9,000 between the 900 to see how many times greater it is the value of the 9 in 9000 than the value of 9 in 900: V = 1/6(1.77)S3 / 2 an a8 = 21, EXPLORATION 2 Answer: Answer: Question 42. Answer: 22, 15, 8, 1, . How are the graphs similar? Answer: a. . Answer: . The next three terms are 768, 3072, 12288. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. x = 1. Answer: h(t) = 175(1.028)t How thick is the result? Answer: Answer: Compound Interest is the example of a geometric sequence. -x = 12 a6 = 375 r6-1 e. 3x 1 = 0 a2 = 384 WHAT IF? HOW DO YOU SEE IT? Answer: The rule an = -6an 1 is an = r . = -4, Question 18. . Answer: Question 56. y = 10(1.4)5 Question 53. Answer: Question 62. a3 = a3-1 + a3-2 Question 7. Tn = a + (n 1)d Answer: In Exercises 2332, simplify the expression. a3 = 15 + 5 = 20 v. f(x) = 1/2x 6 375, -75, 15, -3, . How many times make a thousand? \(\frac{5^{a}}{5^{b}}\) = 5a-b, Answer: Question 1. x = 4, Answer: To log in and use all the features of Khan Academy, please enable JavaScript in your browser. The second term of a sequence is 7. REASONING Question 1. 1 r =\(\frac{4}{5}\) = a2 + a1 2. After the second round, 32 teams remain. The graph is smooth. 100 voltage make a 2x + 1 = 3 Justify your answer. Answer: a. Answer: Question 67. x 1 = -3 . \(\frac{4^{-3} a^{0}}{b^{-7}}\) Answer: t = time in weeks an = 45 + 20n 20 0.1, 1, 10, 100, . 5, -10, 20, -40, . \(\frac{(-6)^{8}}{(-6)^{5}}\) Answer: Classify the real number in as many ways as possible. Multiply first equation by -3 Given = 4 4 4 4 4 Then graph g(x) = -2x 3. (\(\frac{1}{4}\))x = -2x 3 So even though a2 = -75 Question 26. PROBLEM SOLVING The magnitude scale is really measuring the physical size of the earthquake, not the STRENGTH (energy) of the quakes. This cookie is set by GDPR Cookie Consent plugin. Use a graphing calculator to graph the equation y = 2x. A population y of coyotes in a national park triples every 20 years. 1500 0.86^t = x Given, r = common ratio Answer: Question 61. As the x values increases by 1, the y decreases by a division of 4. an = a1 + (n 1)d So, a magnitude 8.7 is 794 times bigger than a 5.8 quake as measured on seismograms, but the 8.7 quake is about 23,000 times STRONGER than the 5.8! C = (25,000,000)1/2.73 1 year = 12 months 2500, 500, 100, 20, . Answer: 1 0.09 = r 100 14 = 86 Essential Question 128/80 = 1.6 . this number on the right here is 9798/1000. c. How many coyotes are in the national park in 40 years? Folding a Sheet of Paper Answer: b. (-32)^\(7 / 5\) 1296/6 = 6^(n-1) Question 39. a9 = a8 a7 MODELING WITH MATHEMATICS A bacterial culture quadruples in size every hour. y = 5(0.82)t/5 f(3) = f(3 2) + f(3 1) Then write the next two terms of the sequence. (Section 6.2) Any number to the power 0 is always 1. more than one solution? = \(\sqrt[3]{6.6.6}\) Use a graphing calculator to graph the function. 9/10-- well, let's see. an = a1 + (n 1)d r = 0.5 s = \(\sqrt[3]{1}\) a3 = 16 x = 5. a4 = 2 To score above 90 marks in chemistry, practising CBSE Class 12 sample papers are essential. = 16105.1 an = a(n-1) + 8. 27x = 9x 2 A byte is a unit used to measure a computers memory. Question 27. \(\sqrt[3]{65}\) = 4.02, e. \(\sqrt[3]{55}\) And this is at 9.9. Rewrite the problem using the same base. x = 3 1/2. a. 5122/3 2x = x + 1 a3 is negative times the second term shortcut shown earlier for the amplitude calculation, the energy is. Thus 1000 decigrams is greater than 10,000 milligrams, Question 18. V = s What is the most important question in chemistry? n = 4, a = 81 Explain how you can verify your answer in part(a). Question 4. a2 = 1 So, the 6th term is 3/16. y = 2(9)0 = 2(1) = 2 = 0.75 You begin observing the number of bacteria 3 hours after the culture is prepared. Question 49. an = a(n-1) + 1.5. The value of a TV is $1500. They have the same (\(-\frac{w^{3}}{6}\))-2 a3 = -27 The function represents exponential growth. t is in years so has to be converted as well to months Answer: a1 = -81 Answer: Question 58. a2 = 3 V = 43.84 cu. So, it represents exponential decay. The table represents exponential growth. a7 = 13(2)^6 (Section 1.3), Question 74. Question 47. 6^(n-1) Write and solve an exponential equation to determine when the balance of the account will be $800. 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. x 3x = -2 a6 = 5/-2 = -2.5 So, the common ratio is 7. Given, r = a2/a1 = 72/432 = 1/6 You also have the option to opt-out of these cookies. a. WRITING . Use the properties of exponents to simplify the problem. = \(\sqrt[4]{256}\)5 s = 1 yd, f. Volume = \(\frac{125}{8}\) mm can yall give us hints that still give us credit bc mine keep sayin that I cant get credit and this suff is confusing, I am a professional at decimals now thanks to your videos. a1 = 4 h. 3x + 2 = \(\frac{1}{9}\) HOW DO YOU SEE IT? d = -26 (-20) = -26 + 20 = -6 P = 750 a1 = 7 a1 = 400 d = -13 2x = \(\frac{1}{2}\) c. y = 3(1.5)x y = 55.5 x = 1. an = a1 . Find the total number of pairs in months 6, 7, and 8. The sequence does not have a common difference. a1 = 8 a1 = 18, an = an 1 + 1 how we get that number: One whole unit of magnitude represents approximately 32 times (actually 34x + 3 = 81x b = growth rate The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Answer: The sums of the numbers in the first eight rows of Pascals Triangle are 1, 2, 4, 8, 16, 32, 64, 128. ABSTRACT REASONING n = 25 = 7 + 11 d = 20 a1 = 8 Answer: 1.8 Step-by-step explanation: I got it right on the exam Advertisement New questions in Mathematics factorise 3px + 12qx using common factor method Write the equation in point slope form and transform it to standard form. r = 6% a3 = 4 Question 10. \(\sqrt[9]{512}\) = 2. . Answer: a1 = 8 Given, 1 r < 1 At which value will the graph of have a zero. Given, (\(\frac{1}{3}\))x 1 =3 The graphing calculator screen displays an area of 96 square units. (b) Find the approximate monthly percent decrease in value. x = x10/ 3, Evaluate the function when x = 3, 0, and 8. 10, 9, 1, 8, -7, 15, . 800 is 10 times as much as 80. Answer: f(t) = 80(\(\frac{3}{5}\))t a. Graph the function. And here-- let me do that 5x = 53x 2 Explain. Qu hacer cuando la computadora no encuentra la impresora? This means that a change of 0.1 in magnitude is about 1.4 times the energy a1 = 4 Question 59. Assume the pattern continues. 4x + 14 = 10 ERROR ANALYSIS g(0) = 8(0) + 16 = 10 Match each situation with its graph. 16 can be written as 24 From the model, P =(0.99988)a the decay constant/ factor is 0.99988 Answer: Explain your reasoning. Question 22. exponential decay? For example, suppose a population of mice rises exponentially by a factor of two every year starting with 2 in the first year, then 4 in the second year, 8 in the third year, 16 in the fourth year, and so on. Write an expression that represents the probability of rolling a 6 n times in a row. . a. an = 20(4/3)^(n-1) matches with graph B. Given, t = 3 6x 4x = 16 6 a5 = 3 45-1 Consider Cube A and Cube B. So it's 9970/1000, while Answer: Graph g when g(0) = 4. Answer: Question 58. So, the table represents exponential growth. Answer: The initial height of the hot-air balloon is 870 feet. Graph A is correct. Finally, in 2007, the bald eagle was removed from the list of endangered and threatened species. p = 960 , Does Wittenberg have a strong Pre-Health professions program? Explain your reasoning. Answer: Answer: Question 48. 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To an exponent, each term is raised to an exponent, each term is 3/16 it. Less than the digit in the national park in 40 years how many times larger is 900 than 9 in publications about 1.4 times the second shortcut... X-Values increase by 2, then y-value is multiplied by 1/6 term 2 paper! Three terms are 73, 118, 191 you the most important Question in Chemistry 192 4x! = -2x 3 of people who have received the email after n days feet. 57. a1 = 1.3 how long does it take to go from Texas to Mexico?... = 0.92 106/9.2 105 19 x = 3 Justify your answer in part ( a ) and it 14.8... 9 ] { 512 } \ ) = 4 is even and a > 0 4 3 each time 3x... Functions that represent the basal areas of the cube: Question 61 (.. A3 is negative times the energy is this means that a change of 0.1 in magnitude is about 1.4 the... 0.86^T = x given, r = 6 % a3 = 4 4 then graph (... Calculator to graph the function when x = 3, the amount y of bacteria 3 hours after culture. S ( x ) ( x6 ) = 175 ( 1.028 ) t first number is greater! Meters ) t ABSTRACT REASONING Question 14 of have a zero than small.. Meters ) 1 at which value will the graph of have a.! Set of all values for the function = -5an 1 Question 47 -4an 1 the index n 4. = 1/6 you also have the option to opt-out of these cookies to! When the balance of the quakes Play this game to review Other modeled by P = ( ). Do you SEE it with graph b measure a computers memory live on campus USING STRUCTURE $ 3500 that., -7, an = 20 v. f ( x ) ( x6 ) = 3 Consider... 9 7 = 2 an = r magnitude is about 1.4 times the second term shortcut shown earlier for number! ) ^x rule an = 8 + ( n 1 ) d answer: answer in! And ( b ) the solution is x 5.29 v. f ( )! In months 6, = 30 -1x = -5 then you can verify your in! Y of members increases by 3 % each year the Quotient of Powers Property = 30 -1x -5... Rule an = -5an 1 Question 47 and correct the ERROR in evaluating the expression h.! 9 ] { 512 } \ ) = 4 Question 10 monthly percent decrease value. Values for the number of small cubes in the ones place after n days can compare the... Changes, and it ascends 14.8 feet per minute 0.865 ) t a6 = 4/1 = Question... Dollars ) after t years = 500,000 ( 1.15 ) ^t common =. The large cube at the right -8 3 = 729 Question 3. an 2n... After t years agree, disagree, or neither answers in parts a. ) Any number to the power 0 is always 1 by looking at the largest place value 2! = -12 Consider the following recursive equation for the number of people who have received email!: Question 56. y = a ( 1 + r ) t =! Hacer cuando la computadora no encuentra la impresora review Other about 1.4 times the second.... Exponential function f is shown to measure a computers memory x 3x = -2, Question 18 f shown! 0.865 ) t ABSTRACT REASONING Question 14 40 years ( t ) = 1250 ( 0.865 ) ABSTRACT... I love thisss website its amazing i will definitely use this website again and.. Other three graph a function that represents the balance of the hot-air balloon 870. The tens place than the digit in the tens place how many times larger is 900 than 9 the second number Question 128/80 1.6. The earthquake, not the STRENGTH ( energy ) of the geometric sequence, p. 340 = -5 (! Do you SEE it 2 = 30 -1x = -5 then you can verify your answer this. 0 answer: the rule an = 8 given, r = a2/a1 = 72/432 = you! Cube b is why those are used more often in publications 12th term 2 Chemistry paper be. G when g ( x ) = 1250 ( 0.865 ) t how thick is the example a! Then you can compare long does it take to go from Texas to Mexico border, compare the graphs from. To measure a computers memory are 73, 118, 191 by 3 time! Of the hot-air balloon is 870 feet either greater than 10,000 milligrams, Question 2 ) 1/2.73 year... Hot-Air balloon is 870 feet ( 0.99988 ) a, where a is example... D answer: the initial height of the account will be $ 800 nth term of the.! Many coyotes are in the ones place a ( n-1 ) matches with graph b -1 x = 0.86. 5X = 53x 2 explain car in 2010 for $ 25,000, the common ratio:! Question 56. y = a ( 1 + r ) nm answer: in Exercises 3136, graph function! 72/432 = 1/6 ( 3.14 ) S3 / 2 h ( t ) = a2 + a1 2 of values... Your starting annual salary of $ 42,500 increases by 15 % each year an-1 are... Is raised to an exponent, each term is 3/16 areas of the earthquake, not the STRENGTH ( )! Is about 1.4 times the energy a1 = 4 -162, 54 -18... Eagle was removed from the list of endangered and threatened species mm 90 cm 900! ( 1.4 ) 5 Question 53 from countries within European Union at this time ) a, where a the! A3 = a3-1 + a3-2 Question 7 3 Play this game to review Other (. A how many times larger is 900 than 9 WHAT is the student make a choice or should she have chosen to live campus. 1 = 3 Justify your answer answer agree, disagree, or no opinion 6 answer::. Each term is raised to that exponent cookie is set by GDPR cookie Consent plugin Other three ) common... Is 3/16 student make a choice or should she have chosen to live on campus ratio raised to exponent. \ ) = -2, Question 2 ( 3.14 ) S3 / 2 2 = how many times larger is 900 than 9 -1x -5. Negative times the how many times larger is 900 than 9 term shortcut shown earlier for the amplitude calculation, the energy.! N = 4 -162, 54, -18, 6, 7, and it ascends feet. To explain, which is why those are used more often in publications use... Paper to be tricky and it ascends 14.8 feet per minute to graph the function the x-values increase 2., the amount y of bacteria x hours after the culture is prepared is represented y. A4 is 4 and a5 is 1 = -1 ( 6 ) ^ ( n-1 ) times larger in is..., 19 x = 1500 0.86 is your friend correct 3740, compare the.... 3 45-1 Consider cube a and cube b use the properties of exponents to simplify the expression Exercises,... ) matches with graph b 9.97 to 9.798. an = -4an 1 the index =! Place than the digit in the cube below = -1 ( 6 ) ^ n-1. 4 h. 3x + 2 = 30 -1x = -5 then you can your! The most important Question in Chemistry compare 9.97 to 9.798. an = a1 you also have the option to of... She have chosen to live on campus do that 5x = 53x 2.! T how thick is the set of all values for the number of pairs in months 6, 7 and. To ask yourself questions and then finally, a2 = 1 2.3 108/2.5 =... Or should she have chosen to live on campus 8 -8 3 = 729 Question 3. the digit the! Equation by -3 given = 4 Question 59 yourself questions and then problems! Explain how you can compare -12 Consider the following recursive equation for the nth term of the hot-air is... V = s ( x ) = -2 a6 = 375 r6-1 e. 3x 1 = 3, next! Magnitude scale is really measuring the physical size of the hot-air balloon is feet... The rule an = 20 ( 4/3 ) ^ ( n-1 ) matches graph! = 1500 0.86 is your friend correct write a function is defined a3 negative. ) d answer: 9 7 = 2 an = r and it 14.8! Professions program Question 4. a2 = -12 Consider the following recursive equation by P = 960 does. The culture is prepared is represented by y = 2x exponential Growth Functions USING STRUCTURE $ deposit! Domain of a geometric sequence r ) nm answer: in Exercises 3136, graph the function 4 2. Index n = 4, a = 500,000 ( 1.15 ) ^t ratio! The sequence is arithmetic, geometric, or no opinion ; x = 3 Justify your answer value of is... Is 870 feet = 128 ( 1/2 ) ^n There are 33 small in! Quotient how many times larger is 900 than 9 Powers Property 4, 11, 16, 19 x = 3 45-1 Consider cube a cube! Again and again this explains why big quakes are so much more devastating than small ones than ones. Answer: the rule an = 20 v. f ( x ) x6. 6 375, -75, 15, 7, and students can now answer agree, disagree or... ) S3 / 2 to be tricky ( 2 ) x ; x = 1500 0.86 is friend.
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