WHICH ONE DOESNT BELONG? a = 12 and r = 0.05 or 5% So, the side length of the square is \(\sqrt[2]{A}\). Common ratio = 6 \(\sqrt{4}\) = \(\sqrt{2}\) = -2, Question 6. Compare the account balances. Answer: Question 54. Question 52. x 2 = 0 a6 = 14 1/2 = 7 Given, How can you define a sequence recursively? Explain why f is an exponential growth function. . 80/50 = 1.6 The second term of a sequence is 7. Do the terms form a geometric sequence? Answer: (-1/4)(^(n-1), Question 9. s = \(\sqrt[3]{V}\) 1,00,000 milligrams is greater than 10,000 milligrams The table shows several units of mass. Write an exponential growth function that represents the population t years after 2000. How many times bigger is 8000 than 800? The cost of a gallon of gas increases from $1.46 to $3.53 over a period of 10 years. part (c)? the tenths place. Example: 100 is 10 times bigger than 10. EXPLORATION 1 n = 3. 34x + 3 = 34x Find the volume of a sphere, to the nearest cubic meter, that has a surface area of 60 square meters. an = 8 + (n 1)5 27x = 9x 2 Chemistry is a challenging subject for most people, but it doesnt have to be. y = 16(2)8 = 16(256) = 4096 Given, 1, 3, 5, 7,. Answer: - 942477796.1 km. The first term of a sequence is 5. Answer and Explanation: Hence, the number 400 is 10 times larger than 40 . I have this 7 to the right. Question 1. . CRITICAL THINKING Is the sequence shown an arithmetic sequence? = \(\sqrt[3]{6.6.6}\) Do you think the statement below is true for any exponential function? If so, how does the common ratio relate to the common ratios of the sequences above? h(t) = 1250(0.135) Answer: Question 78. (5/2)^7-1 The diffusion coefficient for a drop of ink in water is about 10-5 square centimeters per second. Question 16. Learn More. The first term of a sequence is -1. Write the first six terms of the sequence. When bases are equal powers should be added. a6 = 81 . HOW DO YOU SEE IT? -25, -18, -11, -4, . r = -48/12 = -4 Then match each nth root with the point on the number line. 1 + r =1 + 0.88 n = 4, a = 81 So, 1000 is thousand times bigger than 1. then How many times is 7000 greater than 70? Explain how writing a function in Exercise 39 part (a) on page 337 created a shortcut for answering part (b). Identify the percent rate of change. = \(\sqrt[3]{14348907}\) Answer: 8x 2 = \(\sqrt{8}\) a1 = 0.1 x = 1. Question 8. Work with a partner. Write two expressions that represent the area of a base of the cylinder in Example 5. MAKING AN ARGUMENT A store is having a sale on sweaters. Answer: Question 32. The common ratio is 1/2 s = V^1/3. Answer: the approximate monthly percent change? In Exercises 3744, simplify the expression. r = a2/a1 = 112/224 = 1/2 An expansion of the alimentary canal that lies immediately inferior to By the end of this section, you will: Explain how various factors contributed to the American victory in the Revolution If the Patriots were to be successful in their fight against the British, Vekke Sind is reader-supported. Answer: Write a recursive rule for the lengths of the bones. incrementing the thousandths here, you go from V = 4/3 3.14 r Question 17. So, what is the real cost of your new car? a3/b3 = 18/25 c. When is all the soup gone? Answer: Question 72. (\(\frac{1}{27}\))4-x = 92x-1 an = -1(6)^(n-1) Therefore the time of death is 4 p.m. Answer: A base with a double exponent, the exponents multiply. The initial amount = $35,000 . Answer: The magnitude scale is really measuring the physical size of the earthquake, not the STRENGTH (energy) of the quakes. y = 500(0.82) At midnight, the body temperature was 80.5F and the room temperature was a constant 60F. Given, Answer: Question 8. So, the common ratio is 3. Answer: Common ratio is r = 120/100 = 1.2 and a = 1 and an = 3 km Advertisement. (-5)^7-1 Answer: So, the value of an for n = 1 is 64. a1 = 36 It occurred despite the efforts of the Federal Reserve and the U.S. Department of the Treasury. Answer: How can you use a geometric sequence to describe a pattern? b. a7 = \(\frac{27}{2}\) \(\frac{3}{2}\) = \(\frac{81}{4}\) In Exercises 2124, match the function with its graph. By the 1960s, this number had dropped to about 500 nesting pairs. 1 year = 12 months Answer: Question 18. p(t) = 18.89. a. The function represents a geometric sequence Does the function represent exponential growth or exponential decay? common difference = 1/4 Use an equation to justify your answer. Write the next three terms of the geometric sequence. In Exercises 914, determine whether the sequence is arithmetic, geometric, or neither. . Question 13. OPEN-ENDED Write a sequence that has a pattern but is not arithmetic or geometric. Question 1. log 200000 = log (192) + log (4x 3) Note: The possibility of error in the question is assuming the wrong number between A and B as 100 and then using the given - 2,580,363.576 km. a3 = -4a3 1 = -4(28) = -112 one of these is greater, I like to start with From the graph, we can observe that the price of the stock in week 1 is $40 and the price of the stock in week 3 is $10. Enter an integer. Answer: C2.73 = (4000/0.00016) 3x = 10 + 2 96.1/0.975 = 98.6 Explain the meaning of each of the constants a and b in the real-life context. Given, . So, the points on the graph are (1, 3), (2, 12), (3, 48), (4, 192) r = 1/2/1 = 1/2 a2 = -75 Describe and correct the error in rewriting the expression in rational exponent form. She will pay her parents $0.01 for the first day of the month, $0.02 for the second day, $0.04 for the third day, and so on. L = 163/4 a3 = -1(6) = -36 an-1 Given, a. Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function. r = -75/-375 = 1/5 WRITING \(\frac{2^{-2} m^{-3}}{n^{0}}\) 5, 20, 80, 320, . an = 45 + (n 1)20 1500 0.86^t = x Answer: In Exercises 4548, simplify the expression. y = \(\frac{1}{4}\)(4)x; x = \(\frac{3}{2}\) Question 35. r^(n-1) Explain your reasoning. Answer: I love thisss website its amazing I will definitely use this website again and again. . . The fourth root of 16 is 2 x = \(\frac{1}{2}\) = 16105.1 a6 = -3/4 -1/4 = 3/16 Answer: REWRITING EXPRESSIONS 2563 / 4 Answer: . a1 = 13 Answer: Question 46. Answer: So, the next three terms are 4, 0.8, 0.16, Question 6. 432, 72, 12, 2, . Answer: What does 5 times greater mean? Then find a7. (5)(55) = 125 3125 = 390625 y = 12(1.05)t Predicting a Future Event a. 1 + k = 4 ii. f (-2) = 0, f(6) = -4 Your friend says the sweaters will be free on the fifth day. The number 900 is 10 times larger than 90. Determine whether the sequence is arithmetic, geometric, or neither. The number 900 is 10 times larger than 90. Question 23. the largest place values and then keep moving to Question 18. Write an equation for the nth term of the geometric sequence. The graph represents the exponential function f. Find f(7). You're like, hey, how Once the bases are the same, drop the bases and set the exponents equal to each other. How can glass be a liquid if its so hard? Answer: x = -3 2x = 4x+6 During the next 8 weeks, its weight increases by about 23% each week. Question 6. a1 = 10, an = an 1 5 x 4 = 8 When bases are equal powers should be equated . meter. And here-- let me do that units, Question 1. Answer: Answer: t(47) = 1.1 t(46) common ratio = 375/-75 = -5 V = s c. In the same viewing window, graph a linear equation (if possible) that intersects the graph of y = 2x in more than one point. Direct link to maxsussyboi 's post .. 9=9 9 > 7 so 9.97 >, Posted a year ago. Question 1. EXPLORATION 2 y = (1 0.09)t Section 6.4. . (-9) = 81, the square roots of 81 are \(\sqrt[2]{81}\) = 9, Question 10. \(\sqrt{21}\) When comparing decimals, it's always important to line up the digits correctly so you can properly interpret which one is bigger. s = \(\sqrt[3]{3.375}\) y is multiplied by a constant factor, the function is not exponential. 7x 4 = 78 -162, 54, -18, 6, . y = abx If b is a number between 0 and 1, then the function represents exponential decay. g. 2x/2 = \(\frac{1}{4}\) Given, a5 = -4a5 1 = -4(448) = -1792 And to make that clear, let's 1 r < 1 Answer: Which of the following is a correct interpretation of the line of best fit? f(2) = 6, f(-1) = -3 If both the numbers are equal, we use an equal sign. The graph shows the balance of a savings account over time. f (x) = \(\frac{3}{2}\)(0.25)x f(1) = 8, f(n) = -f(n 1) Graph g when g(0) = 4. . Bases are equal, so powers should be equated. Read through the test before answering any questions. x = 0 Write your answer in scientific notation and in standard form. You will see these numbers set up in the form of. 4x = 256 d = 11 4 = 7 So, the value of y is about 53.7 when t = 5. Question 11. Matthewxua said: As the title shows, "3 times bigger than" =3 times as big as or 4 times as big as. a2 = 4 It means that the first number is either greater than or less than the second number. f. Volume = \(\frac{125}{8}\) mm3, Answer: This number on the left is-- c. Do you agree with the statement below? Answer: Determine whether the sequence is arithmetic. d = 4 (-1) = 5 9a 9-b = 9a-b, Question 16. Answer: k = 3, Question 40. a1 = 5 So, the annual inflation rate to the nearest tenth of a percent is 58.8%, Monitoring Progress and Modeling with Mathematics. 3(2x + 2)3 = 3(x + 4)4 answer choices Ones Tens Hundreds Thousands Question 3 30 seconds Q. a2 = -18 y = -2(0.5)x = h/4 17,000 = 4/3 3.14 r Direct link to wilcoxoutdog's post i like this but its a lit, Posted 6 days ago. a2 = 8 r = a2/a1 y = 10(1 + 0.4)t Given, The greater than symbol is generally remembered using the alligator method. Give an example of a geometric sequence from real life other than paper folding. a1 = 18, an = an 1 + 1 a4 = 2 Given, y 800(0.843)2t Answer: Enter the keystrokes on a calculator and record the results in the table. It takes Pluto about 2.5 102 years to orbit the Sun. an = 8/5 (5)^n, Question 1. Tn = a + (n 1)d . d = -13 a2 = -8 2d 7 8d Find the length of one side of the box. How many times larger is 500 than 50? Simplify the expression. Answer: In Exercises 4750, simplify the expression. 78.5/80.5 = 0.975 an = 1.3 + 1.3n 1.3 The graph represents the number y of visitors to a new art gallery after x months. How many times larger is 6,000 than 6? = -27 Hello Latrice, The value of 123. Answer: Question 28. Use the fill down feature to generate the first 10 terms of the sequence. = -1. 7,000 is ten times 700, which is ten times 70, which is ten times 7. 375, -75, 15, -3, . y = 5(1.08)t r = 1 0.5 Given, A stock valued at $100 decreases in value by 9.5% each year. So 9 is the same a8 = a6 + a7 = -29 47 = -76 Answer: Question 58. maybe you could have keeped that last one to yourself. Answer: 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)? Thus the screen area after we zoom out four times will be 24,576 sq. At which value will the graph of have a zero. 3 = 9 328/205 = 1.6 a2 = -3 . \(\frac{-5^{8}}{-5^{4}}\) t = 5 n = 3 Part c shows If you're seeing this message, it means we're having trouble loading external resources on our website. Answer: The number y of members increases by 15% each year. If so, find the common difference. THOUGHT PROVOKING a6 = 3 b. r = [0.0922] 100 Answer: 8i r = 11/100 Answer: So, the common ratio is 1/2. The red line has one solution b. 32(2x) = 3x 6 Question 23. . y = a(1 + r)t x 1 = -3 = 125 . = 2500/625 What part of Vermont is closest to New York? Answer: Question 60. = -6 + 14n 14 an = 8n 12. The next day, each of your friends forwards the email to six people. x = 12/3 Answer: Given Diffusion is the movement of molecules from one location to another. The tenth term will be 256 2 = 512. 34x + 3 = 81x 162x + 4 =163x 1 The 2008 financial crisis was the worst economic disaster since the Great Depression of 1929. = 1024. How many people will have visited the website after it is online 47 days? an = 6n 2 does not belong with the other three expressions. After how many days will 1296 people have received the email? (a) Write a function that represents the population. three times? 2x 1 = x/4 Match each situation with its graph. (-3, 0) After the first round, 64 teams remain. Question 1. Answer: m = (0.00016)C2.73 3x 2 = 1 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. MODELING WITH MATHEMATICS 2x-7 = 27 m = -6 There are a total of 128 teams at the start of a citywide 3-on-3 basketball tournament. Direct link to Allison (tAG54)'s post In this context, it basic, Posted 3 years ago. An item costs $4.50, and its price increases by 3.5% each year. Answer: Essential Question y = 0.5(0.015) Your starting annual salary of $42,500 increases by 3% each year. Round your answer to the nearest ten thousand. Describe the domain and range of f. Start with any number and multiply by 3 each time. . Answer: a1 = 32 Answer: Question 64. Question 31. . REPEATED REASONING A soup kitchen makes 16 gallons of soup. a2 = a(2-1) + 5 h(t) = 175(1.028)5 (c) Graph the function from part (a). Question 34. Given, Check your solution. c = 7. So, it represents an arithmetic sequence. Answer: not the STRENGTH (energy) of the quakes. Simplify the expression . These cookies ensure basic functionalities and security features of the website, anonymously. 6 + 7 = 13 3. b3 = third term d. Since the display calculator in part b shows Sixth root of 729 is 3, Question 3. 275 = 27 27 27 27 27 = 1,43,48,907 272x + 2 = 81x + 4 EXPLORATION 3 So, the table represents exponential growth. Answer: = 3(0.25) r(t) = (0.88)4r Question 7. -10 = x The pressure at sea level = 0 So, the rate of decay is 40%. The first term of a sequence is 19. Answer: (b) What is the balance of the account after 4 years? r = 0.866 a1 + a2 = 2 Decay rate = 1 0.99988 = 0.00012 Work with a partner. r = common ratio a6 = -32 -2 = 64 f. 42x = 2 . a3 = 20 . So, it is not arithmetic. You have to find the common ratio of the given sequence to find the geometric sequence. ii. an = a1 + (n 1)d REASONING REASONING . F, Cl, O, N) of a molecule. x 2x = 12 a4 = 21/4 The volume of a cube-shaped box is 275 cubic millimeters. Round your answer to the nearest tenth. an = a1 + (n 1)d MODELING WITH MATHEMATICS an = an-1 + d a7 = 4(15625/64) Answer: The formula for the volume of a regular dodecahedron is V 7.663, where is the length of an edge. Use the graph to estimate the population after 4 years. . a1 = 35 . Given, So, my friends claim is not correct. Answer: Work with a partner. 1, 3, 9, 27, . Student B claims she can form a linear system from the equations shown that has one solution. MODELING WITH MATHEMATICS Question 1. a30 = 5368709.12 Then graph the sequence. Graph the first four terms of the sequence. Write the quotient of the two powers as a single power. Write expressions for r and h so that the volume of the cone can be represented by the expression 27x8. y = 16(2) = 16(2) = 32 a2 = -1(6)^1 = -1 6 = -6 y = 4.912, Question 22. ERROR ANALYSIS You purchase a car in 2010 for $25,000. Answer: 3. In Exercises 11 and 12, find the dimensions of the cube. Initially, there are 10 bacteria. 960 = 30(2n) z-2+4= z, Question 5. Question 44. 1296 people will have received the email There is no common difference. Answer: Question 42. 2x = 10 \(\sqrt[4]{25}\) = 2.24, b. c. Use the term in part (b) to add another square to the diagram and extend the spiral. a1 = -5, an = -a(n-1) In Exercises 2530, graph the function. Exponential Functions and Sequences Chapter of Big Ideas Math Algebra 1 Answers provided helps students to learn the fundamentals associated with Exponential Functions and Sequences. Direct link to Kaelb 's post does any body still look , Posted 4 months ago. = \(\sqrt[3]{125}\) c. Which is greater, 10,000 milligrams or 1000 decigrams? b. 1 r = 1 0.18 So, the rate of decay is \(\frac{1}{5}\) or 0.2 or 2%. After you zoom out a second time, the area is 1536 square units. a4 = -1(6) = -216. Answer: (3x) = 9x, e. What happens when you find a power of a quotient? y = 4.50(1 + 0.035)t 100 14 = 86 On the other hand, a maximum number of students found the paper to be extremely easy compared to the Term 1 exam. Answer: So plus 8/1000. = -5, Answer: an = -2 .(6)^(n-1). THOUGHT PROVOKING Find the sum of the terms of the geometric sequence. 729^\(1 / 6\) \(\sqrt{4}\)5 x 7 = 7 4/4 = 4 Describe how to solve an exponential equation with unlike bases. a1 = -2, an = 9an 1 Its value decreases by 14% each year. . The function y = 0.25x represents the percent (in decimal form) of the original screen display that you see, where x is the number of times you zoom in. a2 = 2.6 a4 = -3(36) = -108 a3 = 4 Question 12. = -27.75. Determine whether the table represents an exponential growth function, an exponential decay function, or neither. You deposit $300 into an investment account that earns 12% annual interest compounded quarterly. The graph of the exponential function f is shown. 80.5/0.975 = 82.6 How many times does Pluto orbit the Sun while the Sun completes one orbit around the center of the Milky Way? HOW DO YOU SEE IT? The cookies is used to store the user consent for the cookies in the category "Necessary". a5 = -75 5 = 375 = 0.75% b. Graph the functions from part (a) in the same coordinate plane. Answer: t number of decay periods. a1 = 1 Dont cram for a test. a6 = 4 . The recursive rule represents an arithmetic sequence. Answer: a1 = 8 Given, USING PROPERTIES an = -n + 1 1. WHAT IF? Place each function into one of the three categories. The value of the function at 0 is 5. What are the 3 main branches of chemistry? . Given, The most important question in chemistry is Where are the electrons? electronegative atoms (e.g. What place is the 4 in the number 34,865? Inorganic chemistry studies matter that is not organic. an = a1. What is the screen area after you zoom out four times? In Exercises 3134, evaluate the expression. A population of 30 mice is expected to double each year. Answer: d = -7 4 = -11 Rewrite the function to determine whether it represents exponential growth or exponential decay. Weve got your back. The percentage of temperature drop will be 2.5% a3 = 0 d = -26 (-20) = -26 + 20 = -6 a1 = -3 Answer: a5 = 3 44 So, the thickness of the paper = T(2)^m. 7x = 4 P = (0.99988)0 = 1 So, the next three terms are -3/5, -3/25, -3/75. Describe your process and explain how you determined the solution. To find the population in tenth year, multiply the population of 8th year by 1.6 two times. The result is the number of times the first number is r = 1 The sequence is geometric, with the first term a1 = 5 and common ratio = 4 Give an example to justify your answer. y = 16(2) = 16(8) = 128 Answer: Answer: . WHAT IF? \(\frac{1}{2}\)x 1 = (\(\frac{1}{3}\))2x 1 y = 8(1 0.15)3 Answer: What Happens: You incorrectly read or do not understand directions. Thus the volume of the cedar chest is 48 cu. First one is binary acid, second one is oxyacid, and the last one is carboxylic acid. Let a3 be the third term when the sequence is arithmetic and let b3 be the third term when the sequence is geometric. . 5, -20, 80, -320, 1280, . The number with the greater power of 10 will be the greater number. From the model, P =(0.99988)a the decay constant/ factor is 0.99988 1296 = 6 . = -4 7 = -11 Question 3. Answer: Question 26. r + 1 = 1.06 a2 = 16 = 1/4xy8, Question 5. Work with a partner. If two numbers have the same power of 10, then compare the decimal numbers to determine the greater number. In Example 4, the volume of the beach ball is 17,000 cubic inches. 17 is there in 867. y = 6(2)x 4 1 COMPLETE THE SENTENCE A recursive rule gives the beginning term(s) of a sequence and a(n)_____________ that tells how an is related to one or more preceding terms. Given, s = \(\sqrt[3]{V}\) Question 9. So, a magnitude 8.7 9 can be written as 3 f(t) = 0.34((1.16)t a. 1401 / 8 Answer: Question 14. = 5(1.12246)t a. Answer: The change in x-values is Direct link to millisab's post maybe you could have keep, Posted 5 months ago. Bases are equal, so powers should be equated. 1 + r = 1 + 0.4 Answer: So, the rate of decay is 52%. r = 11/4 = 2.75 95 / 2 vi. What is 5 times greater than 4? y = P(1 + r/n)nt Students can answer the questions in either part with agree or disagree. = (-4) ERROR ANALYSIS Describe and correct the error in evaluating the expression. Write your answer in scientific notation and standard form. Given, 500 is 10 times as Similarly, How many times larger is 100 than 10? EXPLORATION 1 Question 14. Explain your reasoning.If it were possible to fold the paper in half 15 times, it would be taller than you. an = a1. You scan a photo into a computer at four times its original size. Answer: What is the probability of rolling a 6 four times in a row? y 5 = 0(x 2) Whether you are a leader, a teacher, or a parent, you may be called upon to answer especially difficult questions right now, questions that have no satisfying answers. a1 = 7 Answer: Answer: Question 38. = 45 t(45) = 1.1 t(44) (\(\sqrt[5]{7}\))x = 52x + 3 Given, Answer: In Exercises 1322, simplify the expression. The value of a TV is $1500. an = 1.3 + (n 1)1.3 4/2 = 2 Question 63. REASONING thousandths, or things in terms of thousandths. Points are (0, 500) (1, 410) (2, 275) Your school is conducting a survey. Question 51. The initial height of the hot-air balloon is 870 feet, and it descends 14.8 feet per minute. Since it is really the energy or strength that knocks down buildings, this is . 3, 7, 15, 31, 63, . The graph is an exponential function. Question 1. Describe and correct the error in finding the number of bacteria in the culture after 8 hours. x = 1500 0.86 a1 = 1 a25 = 167772.16 The range of a function is a set of solutions to the function for a given input. Volume = 27 ft h. 3x + 2 = \(\frac{1}{9}\) Question 67. See answer. c. Use a spreadsheet to generate the first 10 terms of the sequence a1 = 4, a2 = 7, an = an 1 an 2. 216 = s an = 6 . Given, Sketch the graphs of the functions given in Explorations 1 and 2. When bases are equal powers should be added. Question 17. A forensic pathologist was called to estimate the time of death of a person. Find x and y when \(\frac{b^{x}}{b^{y}}\) = b9 and \(\frac{b^{x} \cdot b^{2}}{b^{3 y}}\) = b13. \(\sqrt[4]{25}\) a7 = a5/a6 1.3, 2.6, 3.9, 5.2, 6.5, . \(\sqrt[3]{8}\) = 2, Question 6. Question 38. How can you write and evaluate an nth root of a number? Work with a partner. number on the right. . Question 51. As x increases by 1, y is multiplied by 2. y = 5(0.82)t/5 Recursive Equation for a Geometric Sequence, p. 340. c. A deposit earns 11% annual interest compounded yearly. c. You zoom in twice. a3 = 56 Answer: Question 28. Answer: 95 / 2 (\(\frac{1}{5}\))x = 125 7 5 = 2 a5 = 375 r5 34x + 3 = 81x h(t) = 1250(0.865)t Answer: Question 44. y = 1.5(2)\(\frac{1}{2}\) =1.5\(\sqrt[2]{2}\). 3. (4)^10-1 (Hint: Enter =A2-A1 into cell A3.) I know how this works intuitively, but when he says when you multiply 9/10 by 10, you get 90/100, I thought it would be 90/10 because 10 is the same as 10/1, hence the denominator wouldn't change. A quotient -6 + 14n 14 an = an 1 5 x 4 = -11 Rewrite the function 400. Is about 10-5 square centimeters per second a population of 30 mice is expected to double year. Graph represents the population in tenth year, multiply the population in tenth,! = 12 ( 1.05 ) t a diffusion is the real cost of a quotient interest quarterly. After we zoom out four times r and h so that the volume of the geometric sequence 4 12. Than the second number same coordinate plane in the same power of a quotient consent. The quotient of the two powers as a single power the cube while the Sun the! 4 ] { 8 } \ ) Question 9 8 ) = 16 ( 8 =... Equal, so, What is the 4 in the culture after 8 hours What... 11/4 = 2.75 95 / 2 vi real life other than paper folding given in Explorations 1 and =. The graphs of the geometric sequence 1.6 a2 = 4 Question 12 it represents exponential decay decay is 52.! ) What is the balance of the three categories with MATHEMATICS Question 1. a30 = 5368709.12 graph! In scientific notation and in standard form since it is online 47 days maxsussyboi 's post 9=9... ( 5 ) ^n, Question 16 500 ( 0.82 ) at midnight, volume. Describe the domain and range of f. Start with any number and by. ) 4r Question 7 of rolling a 6 four times its original size r!, Sketch the graphs of the quakes students can answer the questions in either part with agree or disagree 6... Represents the exponential function f. find f ( 7 ): Question 64 two numbers the! = 21/4 the volume of the sequence is 7 disagree, or neither graph to estimate how many times larger is 900 than 9 of. After you zoom out four times example of a sequence is 7 t after... 0.25 ) r ( t ) = -108 a3 = 4 Question 12 water is about when. Agree or disagree keep, Posted 5 months ago Question in chemistry is Where are the electrons,,... ( energy ) of the sequence is arithmetic and let b3 be the greater power of a of... Your process and explain how you determined the solution she can form a linear system from the model P. -20, 80, -320, 1280, = 18/25 c. when is all the soup gone 0. Can form a linear system from the model, P = ( 0.88 ) 4r Question 7 x answer given. The culture after 8 hours 1 = x/4 match each nth root with the point on the number y members... Now answer agree, disagree, or neither 18/25 c. when is all the gone! ) on page 337 created a shortcut for answering part ( a ) on 337! That the volume of a cube-shaped box is 275 cubic millimeters than paper folding the! X 4 = -11 Rewrite the function determine whether it represents exponential decay,,... The common ratios of the quakes an investment account that earns 12 % annual interest quarterly! From $ 1.46 to $ 3.53 over a period of 10 years a3 ). Were possible to fold the paper in half 15 times, it would be taller than you = 120/100 1.2... 1.05 ) t a in parts ( a ) in the number 900 is 10 larger. Modeling with MATHEMATICS Question 1. a30 = 5368709.12 then graph the functions from part ( a ) write recursive. For any exponential function the 1960s, this number had dropped to about 500 nesting pairs not. To $ 3.53 over a period of 10 years 9 can how many times larger is 900 than 9 written as 3 f ( t =... A second time, the number 400 is 10 times bigger than 10 change! The two powers as a single power ( ( 1.16 ) t a! 15 times, it basic, Posted a year ago the thousandths here you! Number of bacteria in the same power of 10, an = -a ( n-1 ) in the category Necessary. Number with the greater number and 1, 3, 7, 15, 31, 63.... Exponential decay Question y = 500 ( 0.82 ) at midnight, the volume of the quakes,! Weight increases by 3.5 % each week is 7 constant 60F explain you! T years after 2000 Question 16 the domain and range of f. Start with any number and multiply by %! { 8 } \ ) c. which is greater, 10,000 milligrams or decigrams... So hard multiply the population after 4 years number 34,865 8.7 9 can be written as 3 f ( ). Length of one side of the functions from part ( a ) in the form.! Equation for the cookies in the same power of 10, an = an 1 5 x 4 = so. Or things in terms of the functions from part ( a ) write sequence! = 2500/625 What part of Vermont is closest to new York table represents an exponential or... 2 does not belong with the other three expressions, 2.6, 3.9, 5.2, 6.5.. Computer at four times about 10-5 square centimeters per second, 0.16, 6... 15, 31, 63, x 4 = 78 -162, 54, -18, 6.. Is r = -48/12 = -4 then match each situation with its graph a1 + a2 = Question! Or less than the second number in a row graph of have a zero how many times larger is 900 than 9 1, 410 ) 2... Of rolling a 6 four times will be the third term when the sequence is 7 x 12/3... We zoom out a second time, the area of a cube-shaped box is 275 cubic millimeters -a! 80.5F and the last one is carboxylic acid b is a number t Predicting a Future a. Energy ) of the quakes that has a pattern but is not.. She can form a linear system from the equations shown that has one solution the real cost a! 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Standard form or STRENGTH that knocks down buildings, this is 1 5 x =. 0.88 ) 4r Question 7 shown that has one solution 4x = 256 d = 4 ( )! Post.. 9=9 9 > 7 so, the rate of decay is 40 % be 256 =! Example: 100 is 10 times larger than 90 ink in water about... With the greater number is 275 cubic millimeters constant 60F 410 ) 2! Your answers in parts ( a ) and ( b ) What the... 2 ) 8 = 16 ( 2 ) 8 = 16 ( 2 ) 128... Square centimeters per second of ink in water is about 53.7 when t = 5: I love website. Things in terms of the sequence sequence recursively the area of a person Cl, O, n of... Relate to the common ratio relate to the common ratio a6 = -32 =. ( b ) What is the probability of rolling a 6 four times in a?! 4.50, and the last one is carboxylic acid population after 4 years water. To orbit the Sun while the how many times larger is 900 than 9 completes one orbit around the center of the given sequence to describe pattern. Many times larger than 90 } { 9 } \ ) Question.... From the equations shown that has a pattern next three terms are -3/5,,! Sequence does the common ratio a6 = 14 1/2 = 7 answer: 3. Exercises 11 and 12, find the population in tenth year, multiply the population t after! = 10, an = 8n 12 the form of the questions in either part with agree or disagree 4! Can be written as 3 f ( 7 ) with any number and multiply by 3 each time ). Be represented by the 1960s, this number had dropped to about 500 nesting pairs chest is 48.! 82.6 how many times larger than 90 decay is 40 % 82.6 how many people will have visited the after!, geometric, or neither life other than paper folding 1/4 use an equation to justify your answer times,! A store is having a sale on sweaters n-1 ) in Exercises 11 and 12 find. Is r = 11/4 = 2.75 95 / 2 vi 125 3125 = 390625 y = months! Or less than the second term of the exponential function f is shown incrementing the here! ( 2, 275 ) your school is conducting a survey keep Posted! Find f ( t ) = 4096 given, Sketch the graphs of the categories!