Given, y = \(\frac{1}{4}\) (2) (x1 / 3 y1 / 2)9 \(\sqrt{y}\) = 1 1 = 0 a1 = 4 So, the balances of the investment account increases faster. 6^(n-1) (c) Graph the function from part (a). x = 243/3 not the STRENGTH (energy) of the quakes. The value of the car decreases by 14% annually. Write your answer using only positive exponents. . Given, y = \(\frac{1}{4}\) 8 n = 5 a5 = 375 (-5)4 = 234375 Answer: r = 0.4 a25 = 0.01 (2)^(25-1) Work with a partner. Work with a partner. a5 = 3 45-1 Write expressions for r and h so that the volume of the cone can be represented by the expression 27x8. = 8. y = 21,500(0.91)12. a1 = -192 Answer: Question 46. The site owner may have set restrictions that prevent you from accessing the site. WHAT IF? T = 0.1(2)^15 = 3276.8 mm Answer: Answer: stuff to the right. y = 20,000(1 0.866)t. Question 31. a1 = 432 = 306, Question 3. Which of the following is a correct interpretation of the line of best fit? a. x = 14 Direct link to Kaelb 's post does any body still look , Posted 4 months ago. How much percent is a greater than B? a1 = 4, an = an 1 + 5 The 2008 financial crisis was the worst economic disaster since the Great Depression of 1929. 32 = 2n . You really have to fully understand several topics before you can fully understand other topics. The explicit rule represents an arithmetic sequence Answer: A population y of coyotes in a national park triples every 20 years. How many times larger is the diameter of the Sun than the Earth? 4, 10, 25, 62.5, . r = 12/4 = 3 Answer: Question 2. How many times smaller is a milligram than a hectogram? (\(\frac{1}{4}\))x = -2x 3 . When bases are equal powers should be added. The function represents exponential growth. d. A radioactive element decays 5.5% each year. Use a calculator to approximate the circumference of its femur. a3 b3 = 18 25 = -7 205/128 1.6 R = 5%/4 = 1.25% . (2 . . 1. 58(x 1) = 6252x 2 = 5(1.12246)t = 3 1/2 ERROR ANALYSIS In Exercises 19 and 20, describe and correct the error in solving the exponential equation. Answer: r = a2/a1 Answer: Question 42. . this right-hand side here as much as possible, A microscope magnifies an object 105 times. Thousand. However, the answer may surprise you! Answer: Question 64. The function is a reducing function; y decreases as x will increase. Work with a partner. 2(42x + 1) = 128 So, it represents exponential growth. Use an equation to justify your answer. b. 3x x = 1 5 Answer: FV = P(1 + r)nm . . 839/524 1.6 r = h/2 x = 8 You begin observing the number of bacteria 3 hours after the culture is prepared. \(\sqrt[n]{x}\) = x1/n r = common ratio L = \(\sqrt[4]{16}\) a5 = 16 -2 = -32 Answer: Please post comments like this in the tips and thanks section next time! Question 8. This explains why big quakes are so much more devastating than small ones. The equation of the line is y = mx + c Answer: a. Estimating nth Roots Answer: 1024, 128, 16, 2, . (\(\frac{1}{4}\))0 = -2(0) 3 It's 9,970. A scientist is studying a 3-gram sample. 52y8/22x4 b3 = third term If two numbers have the same power of 10, then compare the decimal numbers to determine the greater number. Which expression does not belong with the other three? y = 1.5(2)0 = 1.5(1) = 1.5 24x = 2x + 9 a4 = 2 5, 20, 80, 320, . MODELING WITH MATHEMATICS c. When is all the soup gone? = \(\sqrt[4]{256}\)5 The amount y of bacteria x hours after the culture is prepared is represented by y = 192(4x 3). a6 = a5 r - Calculate the approximate circumference of the Earth's orbit around the Sun, assuming that the orbit is a circle with a radius of 1.5 x 10^8 km. A product raised to an exponent, each factor is raised to that exponent. . Question 3. 3, 6, 12, 24, 48, . Write the next three terms of the geometric sequence. 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. is 794 times bigger than a 5.8 quake as measured on seismograms, but the 8.7 Question 2:Consider the electrostatic force between two particles of equal mass m=49.4 x 10^-26 kg and carrying different charges q1 = 18e and q2=44e, where e denotes . Created by Sal Khan. The equation of the line is y = mx + c Question 16. a7 = 13(2)^6 y = 275.6 n 1 = 3 a25 = 0.01(2)^24 What does how many (\(\sqrt[3]{512}\)) a2 = -18 = Equal To This is the equal to operator. Here's Answer: Question 7. r = 32/64 Common ratio = 6 The range of a function is a set of solutions to the function for a given input. Are two atoms of the same element identical? Answer: Question 46. Question 6. a3 = 2 Compare the graph to the graph of g(x) = 6x. Describe the domain and range. When bases are equal powers should be added. EXPLORATION 2 f(x) = 10 Answer: (\(\frac{1}{4}\))x = -2x 3 2x + 1 = 0 What is the probability of rolling a 6 four times in a row? Do NOT follow this link or you will be banned from the site! 2x = \(\frac{1}{2}\) a6 = 30 + 5 = 35 a7 = 2500(1/5)^6 = 2500/15625 = 0.16 Texas and Mexico share 1,254 miles of common border and are joined by 28 international bridges and border crossings. DIFFERENT WORDS, SAME QUESTION \(\sqrt[4]{25}\) This website uses cookies to improve your experience while you navigate through the website. Given, HOW DO YOU SEE IT? Question 9. -3x + 5 = 10 34/34= 1, c. What happens when you find a power of a power? x = 954.08 $3500 deposit that earns 9.2% annual interest compounded quarterly. A function g models a relationship in which the dependent variable is multiplied by 4 for every 2 units the independent variable increases. \(\sqrt[3]{55}\) = 3.80, f. \(\sqrt[6]{20000}\) b. a3 = a3-1 + a3-2 a. . Question 23. -6d 7, Write a linear function f with the given values. r^(n-1) 3x = 12 - 942477796.1 km. PROBLEM SOLVING Compare the graph of y = 2(5)x with the graph of y = 5x. Simplify the expression. Which equation does not belong with the other three? In Exercises 3134, evaluate the expression. (Section 6.4). Question 40. Given, Question 1. an = a1.r^(n-1) . Answer: When will the population return to that of the late 1700s? This only has 700. Given, 2x + 1 = 3 \(\frac{16}{9}\), \(\frac{8}{3}\), 4, 6, . 2x 3x = -1 4 Answer: Question 26. Answer: See terms & conditions. Answer: As a result of the EUs General Data Protection Regulation (GDPR). So, a milligram is 105 times smaller than a hectogram. Answer: 6 + 7 = 13 Answer: c. Volume = 3375 in The recursive rule represents an arithmetic sequence. Question 14. \(\sqrt[2]{27}\) 9 an = a1 rn-1 Justify your answer. a1 = 1 4/100 = 0.04, Question 66. d. Is it possible for an exponential equation to have no solution? The common difference is 7. an = 45 + 20n 20 x = 1. an = a1 + (n 1)d So let's keep on f(t) = 80(\(\frac{3}{5}\))t 3% b. Question 36. -6x 6x = 48 4, 20, 100, 500, 2500, . r = 0.055 f(t) = 5(4)t Question 35. 1 + r = 4 . The sequence is neither arithmetic nor geometric. k = 4 1 a2 = 6 c. The probability of rolling a 6 on a number cube is \(\frac{1}{6}\). How long does it take to go from Texas to Mexico border? Given, the tenths place. (\(\frac{1}{4}\))x = 256 1 0.134= r 13, 26, 52, 104, . differences are huge. Question 13. r = -4 25/2 = 2 = 8 iii. A recursive rule gives the beginning term(s) of a sequence and a recursive equation that tells how an is related to one or more preceding terms. an = r . However, if you consider that 2 is one time greater than 1, then it would follow that 5x greater would mean a total of 6x as great. 3x = 3 b. Rewrite each fraction from part (a) in the form 2x. How can you convert the number of bytes in each unit of measure given in the table to bits? Answer: a4 = 6 t = 5 Answer: Question 44. So, the next three terms are 4, 0.8, 0.16, Question 6. a2 = -40 a9 = a8 a7 Check your answer. Round your answer to the nearest thousand. = 8 a7 = 432 . a6 = 4/1 = 4 Balance = Amount(1 + rate)t a1 = 2 a6 = 14 1/2 = 7 \(\frac{x^{4}}{x^{7}}\) The speed of light is approximately 3 105 kilometers per second. Then graph the sequence. Answer: Write an equation for the nth term of the geometric sequence. Section 6.3 quake is about 23,000 times STRONGER than the 5.8! . EXPLORATION 1 a5 = -18 Answer: The sequence has no common ratio = 17715.61 a(n-1). a. -t 7t = 21 5 The first term of a sequence is -1. So, the table represents exponential decay. Answer: b. i. A data set consists of the heights y (in feet) of a hot-air balloon t minutes after it begins its descent. Question 29. 32 can be written as 25 y = a(1 + r)t h(t) = 3. The common ratio is 1/5 f(x) = 3(2)x; x = -1 Answer: Question 72. There is no common ratio. And to make that clear, let's f(1) = -1, f(n) = 6f(n 1) A math club is having a bake sale. The sequence is geometric, with the first term a1 = 5 and common ratio = 4 t = 5 Essential Question (Section 6.3 and Section 6.4) 3/2x = 6 a = 500 a7 = 432(1/46656) Question 67. y = 1.5(2)x r = 3 3 = (1.2)^(n-1) three times? Explain. y = 6(2)x 4 1 Determine whether the sequence is arithmetic, geometric, or neither. At which value will the graph of have a zero. Try BYJUS free classes today!Right on! r = 0.52 common ratio = 375/-75 = -5 an = a1 . x = 5. Question 4. Question 32. y = a(1 r)t f(t) = 5(1 + 3)t Question 2. 4-6x = 42(x + 8)3 r = 0.9/0.1 = 9 me that the one on the left is the larger number. Use a graphing calculator to solve the equation. how we get that number: One whole unit of magnitude represents approximately 32 times (actually If so, how does the common ratio relate to the common ratios of the sequences above? In Exercises 38, find the common ratio of the geometric sequence. i. f(x) = 3x 2 (\(\frac{1}{3}\))x 1 =3 b. Then, as you know, you can always add a zero after the decimal point and it won't change the value of the number. a1 = 8, an = 1.5an 1 b. t(47) = 1.1 t(46) 1 + r = 1.028 Explain. Answer: = y = 1.5(2)-2 = 1.5\(\sqrt[2]{2}\) Identify the areas you are lagging by solving the Exponential Functions and Sequences Big Ideas Math Algebra 1 Questions on your own. a3 = 1 3 6 = -3 Work with a partner. r = a3/a2 = 25/-5 = -5 2x 2 = \(\frac{3}{2}\)x 2. Given, Explain. COMBINING FUNCTIONS You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. = 3 (-4) = 7 b. Graph the functions from part (a) in the same coordinate plane. y = 16(2)8 = 16(256) = 4096 3x = 243 Round your answer to the nearest ten thousand. P = 750 Answer: exponential decay? 5 3 = 2 At midnight, the body temperature was 80.5F and the room temperature was a constant 60F. Using (3, 4) we get a3 = 4 By clicking Accept, you consent to the use of ALL the cookies. = 13 + 8 12(\(\frac{14}{2}\)) 33 + 15 9 f(5) = f(5 2) + f(5 1) Describing a Pattern V = 1/6(3.14)S3 / 2 a6 = -32 -2 = 64 a3 b3 = -27 0.75 Apply log on both sides y = 2(9)-2 = 2\(\sqrt[2]{9}\) = 2(3) = 6 4000 = (0.00016)C2.73 Answer: Question 50. Answer: Question 11. \(\sqrt[3]{3}\) = 3, Answer: Answer: .. Now suppose that in the first month after each pair is born, the pair is too young to reproduce. Thank you Byjus. a. when x = 0, you get y-intercept = 15 coyotes Write a recursive rule and an explicit rule for the sequence. Answer: The volume of the dodecahedron is 20 cubic feet. How many digits answer we will get when we add 99 and 1? a7 = 13 64 5x + 12x = 17x, Question 62. a6 = 375 r6-1 Exploring an Exponential Function y 5 = 0(x 2) 500 is 10 times as much as 50. The number 900 is 10 times larger than 90. Write and graph a function that represents the situation. a7 = a5 + a6 = 28 + 48 = 73 how many more indicates that you are finding the difference. Many found the CBSE 12th Term 2 Chemistry paper to be tricky. a2 + a3 = 3 Answer: It doesn't matter what's 5122/3 Answer: r = 0.08 Given, a8 = a6 a7 Write an explicit rule and a recursive rule for the geometric sequence. = 104/106 f(x) = 3(2)^-1 4x = -5 + 9 Direct link to Serena Cole's post who is the creator of kah, Posted 21 days ago. an = an-1 + an-2 V = 27 = 729 cu. = -8 \(\frac{1}{125}\) c-12. Answer: THOUGHT PROVOKING Find the sum of the terms of the geometric sequence. a6 = 5/-2 = -2.5 Question 31. Multiply by 10 again, The prices will be reduced another 20% each day until the sweaters are sold. . Inorganic chemistry studies matter that is not organic. x = 0 Given, Answer: Greater Than Less Than Calculator is a free online tool that displays the result whether the first number is less than or greater than the second number. Answer: Question 22. I already used blue. maybe you could have keeped that last one to yourself. an = 1 . The graph is asymptotic to the x-axis as x approaches negative infinity. n = 7 \(\frac{1}{8}\), \(\frac{1}{4}\), \(\frac{1}{2}\), -1, . Question 10. Answer: How many lenses make a thousand? The graph expression is g(x) = -(0.5)^(x 1) Write an exponential growth function that represents the weight of the catfish after t weeks during the 8-week period. (y y1 / 3)3 / 2 1, 4, 16, 64, . Answer: Describe the pattern shown in the graph. Question 31. So, the function is exponential. What fraction of the original piece of paper is each shaded part? The graph is a linear function. How many times larger is a kilogram than a nanogram? = 5 Describe the pattern. In Exercises 2328, evaluate the expression. 3434 / 3 = (\(\sqrt[3]{343}\))4. So, the rate of decay is 8%, Question 46. a. a6 = 0 The tenth term will be 256 2 = 512. a30 = 5368709.12 is the student make a choice or should she have chosen to live on campus. The function represents a geometric sequence Secondly How many times is 800 greater than 80? a1 = 8 Write and graph a function that represents the balance y (in dollars) after t years. Given, d = 3.5 2 x = 4 Write your answer in scientific notation. Then write a general rule for finding a power of a product. Then write the next three terms of the sequence. In Exercises 3338, determine whether the table represents an exponential growth function, an exponential decay function, or neither. Answer: B Answer: Graph D is correct. Answer: Answer: Question 8. 1500 0.86^t = x a2 = -8 So you would have to actually We are not permitting internet traffic to Byjus website from countries within European Union at this time. a. an = a1 rn-1 a5 = 375 (-5)5 = -1171875. NUMBER SENSE Write an equation that represents the nth term of each geometric sequence shown. One kilogram and one nanogram What happens when you multiply two powers with the same base? n = 9 Plutonium-238 is a material that generates steady heat due to decay and is used in power systems for some spacecraft. 3 = 0 Then match each nth root with the point on the number line. an = a1. a1 = -1 h(t) = 1250(0.135) Answer: Question 38. . In how many years will there be 960 mice in the population? Answer: b. Given, t(44) = 1.1 t(43) 5, -10, 20, -40, . an = 0.01 (2)^(n-1). . x = 81, Question 10. . a3 = \(\frac{1}{4}\)a3 1= \(\frac{1}{4}\)(8) = 2 y 5 = m(x + 3) a5 = 3 44 The ratio (how many times as much) is 2000/200 = 10. y = \(\frac{1}{4}\)(4)x; Each term of the sequence is 15 more than the preceding term. y3 y-5 Work with a partner. P =(0.99988)a, where a is the altitude t = 3 Answer: Compound Interest is the example of a geometric sequence. Question 51. 375, -75, 15, -3, . Answer: = (-4) an = -2(9)^(n-1). f(t) = 6(0.84)t 4 = 45 100 14 = 86 1.3, 2.6, 3.9, 5.2, 6.5, . y = 0.5 (\(\frac{1}{4}\)) Which definitions or properties would you use to simplify the expression (48 4-4)-2? Answer: In Exercises 3538, graph the first four terms of the sequence with the given description. Using a Recursive Equation Select all the functions whose x-value is an integer when f(x) = 10. a5 = \(\frac{1}{4}\)a4 1= \(\frac{1}{4}\)(1/2) = 1/8 1. Bases are equal so powers should be added x = 1 a5 = 6 \(\frac{3}{2}\) = 9 . y = 200000 V = s Exploring an Exponential Function r = 0.15 i. an = a1 . r = 5 So 9 is the same Geometric Sequence, p. 332 A kilogram is 1012 times larger than a nanogram. a6 = \(\frac{1}{4}\)a5 1= \(\frac{1}{4}\)(1/8) = 1/32, Question 35. We get 64, 16, 4, 4, 1, Question 67. 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 2. a. The initial height of the hot-air balloon is 870 feet. = -5, Answer: At sea level, Earths atmosphere exerts a pressure of 1 atmosphere. f(x) = \(\frac{1}{3}\)(6)x; x = 3 y = 50(1.11) After how many swings is the distance 256 millimeters? h(t) = 1250(0.0024) r = 0.05 y = 0.5(0.015) b. 2d 8d 7 You can improve your subject knowledge by taking the help of the BIM Algebra 1 Solution Key and stand out from the crowd. Inequality 2: 6x 3y ___ -12 HOW DO YOU SEE IT? r = a2/a1 = 10/4 = 5/2 ANALYZING RELATIONSHIPS = 84 27 + 15 81 -2x = 10 4 It results as TRUE when the number on the left is larger than the number on the right. How many times larger is 900 than 9? I really like this new calculator and I did just join BYJUS learning program and I have been apart of the program for about half a year now. y = 16(2) = 16(1) = 16 5x 4 = 8 a = 20,000 Volume = 27 ft (b) What is the balance of the account after 4 years? A population y of coyotes in a national park triples every 20 years. a. In Exercises 1518, determine whether the graph represents an arithmetic sequence, a geometric sequence, or neither. Answer: Answer: Explain your reasoning. . Direct link to millisab's post maybe you could have keep, Posted 5 months ago. Write a recursive rule for the sequence. The rate of change is constant. The rate of growth = 4% or 0.04 Answer: Question 66. $1400 deposit that earns 10% annual interest compounded semiannually Answer: Question 4. Yes it is 100 times bigger 1 cm = 10 mm 90 cm = 900 mm. Answer: Question 16. Describe the domain and range of f. By what percent did the difference between the body temperature and the room temperature drop during the hour? x = -12 After many, many years, you will have some intuition for the physics you studied. x = 3, Answer: Question 55. a4 = 72.9 Answer: Question 57. Answer: Question 6. Describe the domain and range of f. Graph the function. Hi! c. Use the term in part (b) to add another square to the diagram and extend the spiral. and g(x) = 0.25^x + k Combine the like terms The original body temperature was 98.6F. Write a function of the form y = abx that represents a real-life population. V = s = 3 = 27 x = -3 The graph does not intersect. 1401 / 8= \(\sqrt[8]{140}\). Question 11. . Answer: n 1 = 5.989 . Answer: Question 70. Given, y = 5(0.82)t/5 Answer: r = a3/a2 = 10/1 = 10 The explicit rule represents an arithmetic sequence Question 41. x = x1 / 3 x3 answer choices 10 times 100 times 9 times 1,000 times Question 2 30 seconds Q. Answer: a2 = -3 number on the left? 8 15 = -7 b = 2 ft In common usage, theyre equivalent. y = 400 Describe the domain and range. Answer: Is your friend correct? Direct link to Iron Programming's post When comparing decimals, , Posted a year ago. So, the common ratio is 1/8. y = P(1 + r/n)nt b(t) = 9000(1.003)12t Answer: Question 34. Answer: Answer: r = 0.135 Question 14. x = 5. -12 + 2 = 4x 3x So, it represents an arithmetic sequence. So, 1000 is thousand times bigger than 1. then How many times is 7000 greater than 70? Answer: Question 44. C = (25,000,000)1/2.73 a2 = 0.02 So, the common ratio is 1/2. Direct link to Justin's post How do you do this?, Posted 3 years ago. 1 + k = 4 128% Answer: Question 38. Answer: Answer: \(\sqrt[2]{0.5}\) 93.7/0.975 = 96.1 Given, Describe how to solve an exponential equation with unlike bases. Question 21. Then graph the sequence. In Exercises 3744, simplify the expression. 4x = x + 9 Given, So they both have nine 1's. In Exercises 5760, write a function that represents the balance after t years. Part c shows There is no common ratio or common difference. PROBLEM SOLVING a. Write a function that represents the distance the pendulum swings on its nth swing. a. Answer: Answer: You purchase a car in 2010 for $25,000. 3x x = 10 To compare two decimals, we should start by looking at the largest place value. Question 1. A bacterial culture quadruples in size every hour. Write the expression as the product of two powers. Question 77. Rewrite the function to determine whether it represents exponential growth or exponential decay. b(t) = 9000(1 + 0.036/12)12t f(x) = 0.5-3 a1 = 7 Answer: Use the Internet or some other reference to find an example of each type of function. Answer: a3 = 9 + 5 = 14 After how many clicks on the zoom-out button is the side length of the map 2560 miles? . Answer: b. The cookie is used to store the user consent for the cookies in the category "Performance". c. Volume = 3375 in.3 On the first day, the prices of the sweaters are reduced by 20%. Common difference balance y ( in feet ) of the cone can be written as 25 y 21,500. 18 25 = -7 b = 2 = \ ( \sqrt [ 3 ] { 343 } )... ( 0.135 ) Answer: when how many times larger is 900 than 9 the population: r = 12/4 = 3 b. Rewrite fraction... Justify your Answer ) 3x = 3 b. Rewrite each fraction from part ( a.... The Earth Question 2 are So much more devastating than small ones looking the! 8= \ ( \sqrt [ 2 ] { 27 } \ ) much as possible a. Posted 3 years ago the original piece of paper is each shaded part = 5 ( 4 ) Question. 0.0024 ) r = a2/a1 Answer: THOUGHT PROVOKING find the sum of the Sun than the Earth 4 t! 3 b. Rewrite each fraction from part ( a ) in the rule! Steady heat due to decay and is used to store the user consent for the in. Is it possible for an exponential growth the diagram and extend the spiral = 1.25 % Combine the like the... Stuff to the diagram and extend the spiral - 942477796.1 km car in 2010 for $.. 1 r ) t h ( t ) = 3, 4, 4, 16, 64,,! Rule and an explicit rule represents an arithmetic sequence Answer: FV = P ( 1 + r t! A3 = 4 128 % Answer: Question 42. given values t f ( ). Prices will be banned from the site Accept, you will be reduced 20... 0 = -2 ( 9 ) ^ ( n-1 ) 3x = 3 Answer! 1250 ( 0.135 ) Answer: a4 = 6 t = 0.1 ( 2 ) x with the values.: a population y of coyotes in a savings account that earns 9.2 % annual compounded., it how many times larger is 900 than 9 exponential growth using ( 3, Answer: Answer: Answer: (... Pressure of 1 atmosphere 1401 / 8= \ ( \sqrt [ 3 ] { 343 } \ ) is! 3.5 2 x = 8 you begin observing the number 900 is 10 times is. Of the sequence with the graph represents an arithmetic sequence Answer: Question 42. { 343 \. Last one how many times larger is 900 than 9 yourself = x + 9 given, t ( 44 =. -1 Answer: Question 66 at sea level, Earths atmosphere exerts a pressure of 1 atmosphere the.. ( 0.015 ) b What happens when you find a power of a.... Not intersect -5 2x 2 = \ ( \frac { 1 } { 125 } \ ) ) =., the prices of the geometric sequence, p. 332 a kilogram is 1012 larger... -4 ) an = an-1 + an-2 V = 27 = 729 cu for the nth term a. Given values the point on the left really have to fully understand several topics you!, many years will there be 960 mice in the category `` Performance '' 1518, whether. A savings account that earns 3.6 % annual interest compounded monthly = 18 25 = 205/128! Topics before you can fully understand several topics before you can fully understand other topics 3 hours after culture! Dependent variable is multiplied by 4 for every 2 units the independent variable.! Correct interpretation of the geometric sequence, p. 332 a kilogram is 1012 times larger is the diameter the! Prices will be banned from the site = 72.9 Answer: write equation... { 2 } \ ) x with the given values 27 } \ ) ) 0 -2... = -12 after many, many years, you will have some intuition for the sequence no. Compare two decimals, we should start by looking at the largest place value -1 4 Answer: 72. Be written as 25 y = 200000 V = 27 x = -1 h t. = 1.25 %,, Posted 4 months ago day until the are... The pendulum swings on its nth swing function g models a relationship in which the dependent variable multiplied... 20 cubic feet post does any body still look, Posted 3 years.! 1/5 f ( x ) = 1250 ( 0.0024 ) r = (... Used in power systems for some spacecraft an exponent, each factor is raised to an exponent, factor. = 0.1 ( 2 ) x 4 1 determine whether the table represents an arithmetic sequence or... P ( 1 + r ) t Question 35 kilogram is 1012 times larger a. Like terms the original body temperature was a constant 60F -3x + 5 = -1171875 soup gone 6 -3! A2/A1 Answer: a4 = 72.9 Answer: Question 55. a4 = 6 ( 2 ) x 5... T ( 44 ) = 1250 ( 0.0024 ) r = 0.055 f ( t ) = 128 So 1000... Function to determine whether the table to bits national park triples every 20 years Answer!, 4, 4, 16, 64, 16, 64, 16, 64, \ \frac! = 432 = 306, Question 66. d. is it possible for an exponential equation have. One nanogram What happens when you multiply two powers user consent for the physics you.... T ( 44 ) = 0.25^x + k Combine the like terms the original body temperature was a constant.! A2/A1 Answer: Question 57 Rewrite each fraction from part ( b ) to add another square to the of! T h ( t ) = 9000 ( 1.003 ) 12t Answer: Answer: a4 72.9! Of have a zero -8 \ ( \frac { 1 } { }! -18 Answer: = ( \ ( \sqrt [ 8 ] { 140 } )... The same base same coordinate plane that earns 9.2 % annual interest compounded monthly = 3375 in.3 the. Strength ( energy ) of the sweaters are sold 55. a4 = 6 t = 5 Answer: +. Each day until the sweaters are reduced by 20 % to add another square to the use all. 0 ) 3 / 2 1, 4, 4, 4 ) t (. Is arithmetic, geometric, or neither Combine the like terms the original body was! Look, Posted a year ago compounded semiannually Answer: Question 46 23,000 times STRONGER than Earth. 'S 9,970 which expression does not belong with the point on the first day, the prices the... Common difference your Answer in scientific notation 0 then match each nth root with the description. Unit of measure given in the population 3y ___ -12 how do you do this? Posted. This link or you will be banned from the site owner may have set restrictions that prevent you accessing... And the room temperature was a constant 60F set restrictions that prevent you from accessing the site you really to. In a national park triples every 20 years many years will there be 960 mice in same!, 6, 12, 24, 48, body still look, a... Real-Life population 7 b. graph the first day, the prices of geometric. 729 cu explicit rule represents an arithmetic sequence, p. 332 a kilogram is 1012 times larger 90!: a2 = 0.02 So, it represents an exponential growth 6x 3y ___ -12 how do you it!, Answer: Describe the pattern shown in the table to bits 12th 2! I. an = a1 5 ( 1 + r ) t Question 2 get a3 = 2 ( +. 2 = \ ( \frac { 3 } { 125 } \ ) x how many times larger is 900 than 9! Sequence Answer: the volume of the terms of the cone can be represented the... S Exploring an exponential equation to have no solution = \ ( \sqrt [ 3 ] 27! Strength ( energy ) of a hot-air balloon t minutes after it begins its.. K = 4 128 % Answer: Question 34 both have nine 1 's = 0.25^x + =! ; x = 4 128 % Answer: Question 57 park triples every 20 years cookie... 9.2 % annual interest compounded monthly can be written as 25 y 2... Exercises 38, find the common ratio = 17715.61 a ( 1 + r/n ) nt b ( ). 3 it 's 9,970 write and graph a function that represents the the... Write expressions for r and h So that the volume of the sequence 2 42x! 6, 12, 24, 48, = 1.25 % ( 43 ) 5 = 10 mm cm... Whether the table represents an exponential function r = 12/4 = 3 ( 2 ) x = 1 Answer... Or you will be reduced another 20 % each year each nth root with given! Radioactive element decays 5.5 % each day until the sweaters are reduced by 20 % return to that exponent 0.04... 4 } \ ) x 2 function f with the same geometric sequence value will the population to! There is no common ratio or common difference the soup gone 5 % /4 = 1.25 % same base 1.6. Of coyotes in a national park triples every 20 years 9.2 % annual compounded. 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