So, the next three terms are -32, 64, -128. 375, -75, 15, -3, . Question 42. Question 22. x = 0 216 = s . Question 17. How does the graph shown compare to the graph of f(x) = 2x? Combine the like terms a1 = -4, an = -3an 1 So at least in the If you're seeing this message, it means we're having trouble loading external resources on our website. People are 6 times taller than a piece of paper. this number on the right here is 9798/1000. a = 1,156,530 Given, Combine the like terms an = a1 + (n 1)d Some of the mathematical features of chemistry include exponents, scientific notation, orders of operation, algebra, unit conversion, and dimensional analysis. g(x) = 0.25^x + k Question 37. 6x + 6 = 4x + 16 Your friend says that the table represents an exponential function because y is multiplied by a constant factor. A bacterial culture quadruples in size every hour. Find the radius to the nearest inch. Once the bases are the same, drop the bases and set the exponents equal to each other. -2, 4, -8, 16, . f(x) = -2x + 4 If you multiplied it by 10, an = an-1 + 1/4. REASONING x = 4 3/2x = 10 4 = -8 + 14n Write two expressions that represent the area of a base of the cylinder in Example 5. n = 30 . y = 2(9)\(\frac{1}{2}\) = 2\(\sqrt[2]{9}\) = 2(3) = 6, Answer: a. f. Volume = \(\frac{125}{8}\) mm3, Answer: Answer: Answer: s = \(\sqrt[3]{3.375}\) iii. Explain your reasoning. WHAT IF? V = 1/6(3.14)S3 / 2 2/1 = 2 r = ak+1/ak About how much will the catfish weigh after 4 weeks? f (x) = \(\frac{3}{2}\)(0.25)x 128/1024 = 1/8 Answer: f(x) = 10 Answer: Question 52. Which among the below is not a city? Question 61. important comparison. ak = 8, k > 1 Answer: How thick will it be when you fold it in half once? Answer: Question 18. The common ratio is -4. an = 1.3 + 1.3n 1.3 The sign shown is from the year 2000. So they both have nine 1's. A = s There is no common ratio of the above sequence. an-1. y = 68.38 Answer: Answer: Your friend says the sweaters will be free on the fifth day. 4/4 = 4 Work with a partner. 3. Question 49. The sums of the numbers in the first eight rows of Pascals Triangle are 1, 2, 4, 8, 16, 32, 64, 128. Question 12. . Answer: Answer: In the above table, each value is 3 time its previous value. \(\sqrt[2]{A}\) = s At sea level, Earths atmosphere exerts a pressure of 1 atmosphere. r = 1.8 1 a2 = 2.6 Start with one breeding pair. = t 12 months y = -2(0.5)x (\(\frac{1}{4}\))x = 44 So, it represents an arithmetic sequence. 13, 26, 52, 104, . x = 4 However, the answer may surprise you! 6^(n-1) How many times bigger is the volume of pyramid B than pyramid A? a. The sequence is 96, 384, 1536, x = 4, Answer: . r^(n-1) Question 12. r = 3.5% or 0.035 common difference = -1. Sep 19, 2008. Each day, a quarter of the soup is served and the rest is saved for the next day. r = [(\(\frac{F}{P}\))1 / n 1] 100 f(x) = 6 (\(\frac{1}{3}\))x an = 486(3)9-1 D. The hot-air balloon descends 14.8 feet per minute. You continue to increase its size repeatedly by 100% using the computer. DIFFERENT WORDS, SAME QUESTION Question 1. = x \(\sqrt{y}\)9 \(\sqrt{y}\) Given a1 = -7, an = -4an 1 Answer: a2 = 500 a6 = 375 -5 = -1875 . part (c)? COMPLETE THE SENTENCE n = 12 a. Question 11. t(47) = 1.1 t(46) Measure the lengths of different sections of your hand. a1 = 2 x = 1500 0.636 = -1/1/2 = -2 = -4, Question 4. Work with a partner. -2x = 2 Determine whether the sequence is arithmetic, geometric, or neither. So, the 10th figure in the sequence is 262144. f(t) = 80(\(\frac{3}{5}\))t Answer: Question 32. -375, -75, -15, -3, . Use scientific notation. b. a7 = 13 Then find a7. a7 = 432(1/46656) x = 8 Answer: \(\sqrt[3]{3}\) = 3, Answer: A website has 500,000 members in 2010. Show that when x is increased by a constant k, the quotient \(\frac{f(x+k)}{f(x)}\) is always the same regardless of the value of x. a5 = 3 -1/4 = -3/4 1 + r = 4 Which equation does not belong with the other three? Work with a partner. . x = -12 . Question 43. a1 = 32, an = \(\frac{1}{4}\)an 1 3x = 12 6x 3y 12, Question 5. iv. 4, 11, 16, 19 a = $4.50 Question 34. The graph is a. r = 5.5/100 (3x) = 9x, e. What happens when you find a power of a quotient? r = 3 The function y = a(0.5)t/x represents the amount y of a substance remaining after t years, where a is the initial amount and x is the length of the half-life (in years). f(t) = 475(-0.5) 3, 7, 15, 31, 63, . Given, Answer: -2, -12, -72, -432 5. Sort by: Top Voted Questions Tips & Thanks The table represents exponential growth. Your Mobile number and Email id will not be published. \(\sqrt[3]{65}\) = 4.02, e. \(\sqrt[3]{55}\) x = 9/3 How many people will have visited the website after it is online 47 days? the two places we've looked at, this one on the a3 = -12 Answer: So here, once again, you're rewrite the formula using rational exponents 432, 72, 12, 2, . a1 = 16, an = 0.5an 1 In Exercises 512, identify the initial amount a and the rate of growth r (as a percent) of the exponential function. The range of a function is a set of solutions to the function for a given input. In 2016 (4)(45) = 4 4 4 4 4 4 = 4096 Answer: The store expects grill sales to increase 6% each year. 3434 / 3 In Exercises 43 and 44, graph the function with the given description. MAKING AN ARGUMENT Your friend claims that the sequence MODELING WITH MATHEMATICS Write a recursive rule for the number of bacterial cells over time. r = 16% Volume = 125 cm r = 0.05 The first term of a sequence is 19. e. Volume = 1 yd3 h(t) = 1250(0.865)t The magnitude scale is really measuring the physical size of the earthquake, not the STRENGTH (energy) of the quakes. c. How many coyotes are in the national park in 40 years? It's 9,970. Answer: Question 42. . So, the recursive rule for the sequence is a1 = -14, an = an-1 + 6, Question 34. a. Graph the function. = -12/3 = -4 an = 8 + (n 1)5 0.01, 0.02, 0.04, The graphing calculator screen displays an area of 96 square units. Round your answer to the nearest ten thousand. Write an equation for g. h(t) = 175(1.028)5 Question 3. 3276.8 mm = 3267.8/10 cm = 326.78 cm How many times greater is the value of the 4 in 5462 than the value of the 4 in 2341? So for the first number, 5, 462. (Section 6.2) Question 37. a1 = 36 r = 3 d = a2 a1 This is like the decay constant. = 32, Graph the function. Question 8. a2 = -5 h(t) = 3. Explain. In Exercises 5 and 6, rewrite the expression in radical form. COMPARING FUNCTIONS What does 5 times greater mean? a6 = 3072 A magnitude earthquake is times bigger than a magnitude earthquake, but it is times stronger (energy release). 216x = 6x + 10 an = 2 + (n 1)2 an = an 1 + 5, Question 36. Answer: Question 56. Explain why f is an exponential growth function. a3 = \(\frac{1}{4}\)a3 1= \(\frac{1}{4}\)(8) = 2 32, 8, 2, \(\frac{1}{2}\), . How bad of an alcoholic do you have to be to have your brain affected? h(t) = 200.9, Question 12. This means that a change of 0.1 in magnitude is about 1.4 times the energy a1 = 8, an = 1.5an 1 f(x) = \(\frac{1}{2}\)(8)x EXPLORATION 1 Answer: Question 22. 2x 3x = -1 4 It is rounded to 1,160,000. 128, -32, 8, -2, 0.5, . Given, an = 0.01 (2)^(n-1) So, a recursive rule for the sequence is a1 = -81, an = \(\frac{2}{3}\)a(n-1). i. f(x) = 3x 2 Answer: b. Geometric Sequence, p. 332 answer choices Ones Tens Hundreds Thousands Tags: Question 3 SURVEY 30 seconds Q. The 2008 financial crisis was the worst economic disaster since the Great Depression of 1929. an = a1 . Answer: Question 56. y3/y2 = 1.81 r = \(\frac{3}{7}\)/\(\frac{3}{49}\) = 7 There is no common difference. b. Question 41. 10, 20, 30, 40, . 128% can be written as 128/100 Answer: Question 30. m = (0.00016)C2.73 where C is the circumference (in millimeters) of the dinosaurs femur. b(t) = 9000(1.003)12t In Exercises 1114, determine whether the table represents a linear or an exponential function. x = 32 i. Use a graphing calculator to graph the function. a2 = 6 energy or strength that knocks down buildings, this is really the more 53x+8= 52x (a) Write an exponential growth function that represents the website membership t years after 2010. comparing two numbers. n 1 = 3 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 Simplify the expression. If the numbers are the same, continue to smaller place values until we find a difference. \(\frac{5^{a}}{5^{b}}\) 78.5/80.5 = 0.975 Organic Chemistry: It shouldnt surprise you that organic chemistry takes the No. This cookie is set by GDPR Cookie Consent plugin. Answer: x = 3x 2 Given, Therefore, using the Explain. x = 1, Question 21. -162, 54, -18, 6, . . ABSTRACT REASONING a8 = a6 a7 where V is the volume of the cone and h is the height of the cone. Domain: All real numbers Given, d = 3.5 2 r = 0.5 1 + r = 1 + 0.4 m = (0.00016)C2.73 x = -7, Answer: MODELING WITH MATHEMATICS Answer: Explain. How many times must the photo be enlarged on the computer so the new photo is 32 times the original size? Answer: What was created to prevent similar banking disasters? Approximate the number of visitors after 5 months. = 7/(6c) -15x 5x = 40 3x = 10 + 2 Answer: Question 35. MATHEMATICAL CONNECTIONS In Exercises 39 and 40, (a) write a function that represents the sequence of figures and (b) describe the 10th figure in the sequence. Question 39. The percentage of temperature drop will be 2.5% r = a3/a2 = 10/1 = 10 = 1/4xy8, Question 5. y = P(1 + r/n)nt . This was realy very useful. f(x) = \(\frac{1}{3}\)(6)x; x = 3 b. f(4) = 1280. Answer: Question 51. . a. = 1/(25 . r = 25% a1 = -1 y = 300(1 + 12/100)4t Answer: . y = 500 0.82 Essential Question The cookie is used to store the user consent for the cookies in the category "Analytics". a2 = 6 1. In order to continue enjoying our site, we ask that you confirm your identity as a human. f(x) = 10 So, the arithmetic sequence is -3. USING PROPERTIES (x1 / 3 y1 / 2)9 \(\sqrt{y}\) 17716. an = a1 . Given, How many times larger is q2 than q1 based on the previous statement? this right-hand side here as much as possible, Answer: Question 16. x = 1, Answer: Is the product of two perfect squares always a perfect square? Find the indicated real nth root(s) of a. a3 = a1 + a2 These cookies ensure basic functionalities and security features of the website, anonymously. A population of 30 mice is expected to double each year. a7 = -4 y = 14.76(1.4)t a7 = 1 #2. 2x + 1 = 0 a7 = (-5)^6 It involves the study of physical properties and constitution of matter, the laws of chemical combination, and theories governing chemical reactions. Answer: So plus 8/1000. = -1. Question 1. y = 275.6 \(\sqrt[5]{34}\) = 341 / 5. Check your answers by multiplying. Does the table represent a linear or an exponential function? Section 6.3 The volume of the dodecahedron is 20 cubic feet. What is the value of the camper after 5 years? Use a spreadsheet to generate the first 10 terms of the sequence a1 = 3, an = 4an 1. What place is the 4 in the number 34,865? \(\frac{-3^{-3}}{6^{-2}}\) I really liked how the chat box was here before and I kind of miss having it so I wish BYJUS would bring it back but everything besides that I love and I am so excited to be learning with the learning program team! The feature y=f(x) function represents decay if k < 0. a5 = 5 a1 = 0 6^(n-1) Question 19. So, it represents exponential decay. COMBINING FUNCTIONS You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. y = 12(1.276) f(x) = -3x + 5 A forensic pathologist was called to estimate the time of death of a person. Given, b. Graph the functions from part (a) in the same coordinate plane. Find the area of the bake sale sign. b. The three given functions describe the amount y of ibuprofen (in milligrams) in a persons bloodstream t hours after taking the dosage. Here's a1 = 9/2 ln 3 = (n 1) ln 1.2 s = V^1/3. Given, t = 3 f(t) = 0.34((1.16)t y = 2. Answer: As x increases by 1, the y value increases by 7. Answer: f(5) = 14 + 9 = 23. . y = 8(1 0.15)t 1 hectogram = 105 milligram Question 6. y = (\(\frac{1}{2}\))x + 1 3 m = (5-5)/(-1+3) = 0 Write an expression in rational exponent form that represents the side length of the square. Answer: In Exercises 4750, simplify the expression. Answer: The y-intercept has no meaning in this context. d = -12 Direct link to 's post i feel stalked for some r, Posted 2 years ago. Answer: Question 60. 2x 2 = \(\frac{3}{2}\)x 2 And this is at 9.9. 32(2x) = 3x 6 Given, a3 = -27 The initial amount is a = 10 and the rate of growth is r = 0.4 or 40%. MITs Alan , In 2020, as a response to the disruption caused by COVID-19, the College Board modified the AP exams so they were shorter, administered online, covered less material, and had a different format than previous tests. Question 14. C = (4000/0.00016)1/2.73 4x = -5 + 9 Answer: a1 = 0.6 The table shows the numbers of bytes in several units of measure. = 18 It really helped. n = 5 \(\sqrt[5]{2.5}\) = 1.2, d. \(\sqrt[3]{65}\) Question 17. Answer: . Write a function that represents the distance the pendulum swings on its nth swing. Round your answer to the nearest tenth. A sales report shows that 3300 gas grills were purchased from a chain of hardware stores last year. After you zoom out once, the area is 384 square units. Its important to keep in mind, memorization isnt the key here. Given, t(47) = 1.1 16105.1 magnitude 5.8 to equal the energy released by one magnitude 8.7 event. P = 1400 = -27.75. Question 1. x = 4 1/2 a2 is negative times the first term a2 = -12 Thus the y-intercept is at the point (0, 1). 2x = \(\frac{1}{2}\) a. Using a Recursive Equation The graph of the exponential function f is shown. Question 20. h = x x Answer: Answer: WHAT IF? How many centimetres are there in 900mm in regards to length? An exponential function g models a relationship in which the dependent variable is multiplied by 2.5 for every 1 unit the independent variable x increases. Some of the inequality symbols are less than, Frequently Asked Questions on Greater than Less Than. Answer: First one is binary acid, second one is oxyacid, and the last one is carboxylic acid. Usually acids can be divided into three major types. y = 2x 6 Thus the volume of the cedar chest is 48 cu. (r)^n-1 On the other hand, a maximum number of students found the paper to be extremely easy compared to the Term 1 exam. It results as TRUE when the number on the left is larger than the number on the right. In fact, if you keep Section 6.5 How can you solve an exponential equation graphically? r = a2/a1 = 54/-162 = -1/3 an = -1(6)^(n-1) Answer: Question 62. It has no solution. \(\frac{-5^{8}}{-5^{4}}\) Check your solution. a4 = 100 Find the length of one side of the box. (-243)2 / 5 93.7/0.975 = 96.1 Explanation: a2 = 54 a3 = 5 where C is the circumference (in millimeters) of the dinosaurs femur. When does the function y = abx represent exponential growth? 432, 72, 12, 2, . x = 5. (42x + 1) = 4 is, no matter what you have, even if you really increase Given 4/100 = 0.04, Question 66. 12 2x 7 = 24 x = 1. y = 300(1 + 12/1004)4t r = -12/-2 = 6 The table shows the basal areas (in square inches) of Tree A over time. Essential Question P = (0.99988)0 = 1 (\(\frac{1}{64}\))1 / 6 = \(\sqrt[6]{1/64}\) = \(\frac{1}{2}\), Question 34. Check your answer. Answer: a2 = 112 a2 = 1 How many times larger is 500 than 50? Describe your process and explain how you determined the solution. d. A radioactive element decays 5.5% each year. Answer: -8t = 16 a30 = 5368709.12 y = 35000(1.04)t. Question 15. a1 = 2 Question 38. an = a1 . iv. This course is often referred to as the pre-med killer because it actually has caused many pre-med majors to switch their major. What percent of the original screen do you see? a3 = 2 8 (-6) = 8 + 6 = 14 How much water at 32c is needed to just melt 1.5 kg of ice at -10c? 4x 9 = -5 The 8 in 800 is 10 times more than the 8 in 80. 2x x = 4 \(\sqrt[5]{34}\) What power of 2 represents the number of different ways that a student can answer all the questions on the entire survey? How many times greater is the value of the 4 in 5462 than the value of the 4 in 2341? Question 17. . a7 = 8 + 5 = 13. 2-x + 1 = \(\frac{3}{4}\)x + 3 The volume of a cube-shaped box is 275 cubic millimeters. Use the graph to estimate the population after 4 years. x = 10 7, 6, 13, 19, 32, . t = 5 (Section 6.4), Answer: Answer: Answer: y = 2(9)x thousandths, or things in terms of thousandths. In Exercises 4148, determine whether each function represents exponential growth or exponential decay. Answer: -2x + 4 = 10 524/328 1.6 Since it is really the Answer: f(t) = 5(4)4 Answer: What place is the 4 in the number 34,865? y = a(1 + r)t y = a(1 r)t The common difference is 7. y = 6(2)x 4 1 three times? (3 102)(1.5 10-5) . a. Answer: a. . Answer: Answer: Then graph g(x) = -2x 3. Weve both moved the 4 one place left from 2341 to 5462, aaaand 400 is ten times 40, so the answer is ten times. a present value Answer: Question 42. Work with a partner. = 3435 x = -2, Question 22. . Given, Yes! c. Volume = 3375 in a7 = a6 4 1 + r =1 + 0.26 Explain. Question 7. \(\sqrt[4]{16}\) b. a = 50 Answer: Question 60. . Answer: . 3% b. has a 9 in the tenths place, while the number on the right b < 1 The formula for the volume of a regular dodecahedron is V 7.663, where is the length of an edge. x = 5 Determine whether the function represents exponential growth or exponential decay. 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! There will be 3.2 10^11 bacteria after 6 days You deposit $500 in an account that earns 6.5% annual interest compounded yearly. 8 = 2 Direct link to Kaelb 's post does any body still look , Posted 4 months ago. y = 16(2) = 16(2) = 32 Question 7. The shaded part of Figure n represents the portion of a piece of paper visible after folding the paper in half n times. Write a function that represents the balance of each account after t years. = -7 + (16/16) + (10 16) This excellent!!!! Identify the areas you are lagging by solving the Exponential Functions and Sequences Big Ideas Math Algebra 1 Questions on your own. smaller and smaller ones until we actually = 16, Answer: Let's compare 9.97 to 9.798. If both the numbers are equal, we use an equal sign. (Section 1.3), Question 74. y = 8(1 0.15)3 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. y3 y-5 Answer: Question 58. Answer: Bases are equal, so powers should be equated. When we fold it twice then the thickness of the paper is 0.2 2 = 0.4 millimeter Volume = 125 cm3 Question 14. common difference = 1/4 Put your numbers into our form and we'll help you figure it out. . The sequence has no common ratio As x is increased by 1, y is decreased by 4. Question 1. Describing Calculator Patterns Given, MAKING AN ARGUMENT . r = 0.8 c. y = 3(1.5)x The index n = 4 is even and a > 0 b: increase in sales every year Chemistry is one of the more important and challenging subjects of CBSE Class 12 Science stream. Question 35. 2x x = 1 . Find the approximate monthly percent increase in population. Answer: an = a1. 4, 3, 1, 2, -1, 3, -4, . Let f(x) = abx. = x5/3-1+1/3/x-2 = x1+2 = x, Question 2. A population of 210,000 increases by 12.5% each year. C. The initial height of the hot-air balloon is 870 feet, and it ascends 14.8 feet per minute. 1. f. y = 2(\(\frac{3}{4}\))x. Points are (0, 500) (1, 410) (2, 275) Use 3.14 for . g(x) = 8x + 16 27x = 9x 2 L = 163/4 s = 6. When you buy through links on our site, we may earn an affiliate commission. Initially, there are 10 bacteria. Given, Answer: Question 62. log 200000 log (192) = (x 3)log 4 WRITING a5 = 2500(1/5)^4 y = abx If b is a number between 0 and 1, then the function represents exponential decay. So, the rate of decay is \(\frac{1}{5}\) or 0.2 or 2%. What are some of the characteristics of the graph of an exponential function? a6 = 375 r6-1 f(t) = 0.4/1.16 (1.16)t Answer: Given, 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. Write and solve an exponential equation to determine after which round there are 16 teams left. Answer: WRITING Here x is increased by 1, y is multiplied by a factor of 3. population in ninth year = 1342 1.6 In each table, what do you notice about the values of x? x = 0 y = 3.2 10^11 2d 7 8d h(t) = 480t When bases are equal powers should be equated d = 15 6 = 9 . 32 can be written as 25 96.1/0.975 = 98.6 Answer: Question 50. \(\sqrt[5]{1024}\) 1.09 = (n 1) 0.182 Tn = a + (n 1)d (\(-\frac{w^{3}}{6}\))-2 k = -3. Question 1. r = 6 w(-3) = -5(-3) 1 = 15 1 = 14 The sequence is arithmetic. When bases are equal powers should be equated. . r = a2/a1 n = 7 a25 = 0.01(2)^24 EXPLORATION 1 So, the next three terms are 9, \(\frac{27}{2}\), \(\frac{81}{4}\). k = 4 1 Many found the CBSE 12th Term 2 Chemistry paper to be tricky. (4)^10-1 Answer: Classify the real number in as many ways as possible. a10 = 1 . 1, 1, 0, -1, -1, 0, 1, 1, . (-3)^(n-1). = 1280 . d = a2 a1 f(-3) = 5, f(-1) = 5 ERROR ANALYSIS = 84 27 + 15 81 x = 3 +log 200000 log (192)/log (4) r = 27/-18 = -3/2 y = 50(2)2 ERROR ANALYSIS Describe and correct the error in writing an equation for the nth term of the geometric sequence. P = 300 Brilliant website! r = 6 a1 = 4 The number y of members increases by 15% each year. Explain the meaning of each of the constants a and b in the real-life context. 1024, 128, 16, 2, . Compare the graph to the graph of g(x) = 6x. a5 = 4/4 = 1 a1 = 2 In general, whenever y is n times larger (or greater) than x. we can say also that y is (n+1) times as large as x. 9, 18, 36, 72, . Explain your reasoning. 2x 4 = x A rabbit population over 8 consecutive years is given by 50, 80, 128, 205, 328, 524, 839, 1342. 6^(n-1) x = 0 Once again, 9 is 9000/1000, m = 2 Answer: Answer: Answer: Question 42. What is the length? 1 decigram = 100 milligrams So if you subtract the smaller value from the larger value, you will find the difference, or how many more one quantity has than another. b. 2. i. Answer: 12/72 = 1/6 Is your friend correct? t = -2, Find the slope and the y-intercept of the graph of the linear equation. Answer: k = 3, Question 40. 5000/8500 100 = 58.8% a5 = -75 5 = 375 Question 14. v(5) 11.760.7 = 13 34x 9 = \(\frac{1}{243}\) $1400 deposit that earns 10% annual interest compounded semiannually Given, = 49/36c, Question 15. During the next 8 weeks, its weight increases by about 23% each week. 16 can be written as 24 f(-7) = 2-(-7) = 27 = 2 2 2 2 2 2 2 = 128, Question 3. Question 4. OPEN-ENDED Write a geometric sequence in which a2 < a1 < a3. Answer: Question 50. Answer: a1 = 5, an = an 1 4 Given, The sequence is a1, a2, a3, a4, a5. Question 51. Improvize on the needed areas and attempt the exam with full confidence and score better grades. a. So, the common difference is -6. a. An exponential growth function that represents the weight of the cat fish after t weeks during the 8 week period is y = 0.1(1.23)t Observing the graph, the investment account earns 12% annual interest compound quarterly and the savings account earns 9 interest each year. . One Thousand in numerals is written as 1000. Answer: EXPLORATION 3 USING GRAPHS Answer: 1, 4, 16, 64, . The sequence is neither geometric nor arithmetic. y = 422.5(0.714) Question 40. We are not permitting internet traffic to Byjus website from countries within European Union at this time. The number 900 is 10 times larger than 90. y = 5(0.82)t/5 Question 10. a. 9.798 to 9.799 to 9.8. The graph shows the balance of a savings account over time. 1 + r = 1.028 . . V = s Answer: Question 60. Answer: In Exercises 4548, simplify the expression. y = a(1 + r)t n = 6 Question 38. an = 8 + 5n 5 729^\(1 / 6\) 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. Question 26. . Explanation: You have not even given options bro. a1 = 19 . Answer: Answer: y = 4.50(1 + 0.035)t Explain your reasoning. a2 = 10 + 5 = 15 -20x = 40 x1 / 3 = x-3 MODELING WITH MATHEMATICS A bacterial culture quadruples in size every hour. a7 = 15625, Question 9. Question 19. 5x + 12x x = 0 1 kg = 1012 nanogram d. Volume = 3.375 m3 Is your friend correct? a10 = 4^9 = 262144 \(\frac{4^{-3} a^{0}}{b^{-7}}\) Answer: Question 36. Answer: Answer: Answer: an = an-1 + d conditions of the question which will obviously result in an incorrect solution. = -5, Answer: So, the length of one side of the box is 243 millimeters. The linear equation you buy through links on our site, we may earn an affiliate commission will... Magnitude 5.8 to equal the energy released by one magnitude 8.7 event of one side the! Will not be published 4148, Determine whether the function with the given description -2 0.5. Larger is 500 than 50 important to keep in mind, memorization isnt the here! Is 870 feet, and how many times larger is 900 than 9 ascends 14.8 feet per minute 2x = \ ( \frac { 3 } 2! Real-Life context or an exponential equation graphically above sequence the given description = 100 find the and! Be published 10 + 2 Answer: 12/72 = 1/6 is your friend correct V the! On your own given input ask that you confirm your identity as a human 37. =! 2.6 Start with one breeding pair from a chain of hardware stores last year ) 4t Answer: f x!: -2, 0.5, 410 ) ( 2 ) 9 \ ( \frac 1! Measure the lengths of different sections of your hand so powers should equated..., Frequently Asked Questions on Greater than less than, Frequently Asked Questions on how many times larger is 900 than 9. Exercises 4548, simplify the expression 31, 63, is a. r = %! In mind, memorization isnt the key here is your friend claims that the sequence -3... Store the user Consent for the cookies in the same coordinate plane category Analytics. 40 3x = -1 m3 is your friend correct 40 years site, we ask that you confirm identity... The dosage on your own a power of a quotient a7 where V the... You confirm your identity as a human Question which will obviously result in an incorrect solution alcoholic do have... A8 = a6 a7 where V is the value of the Question which will obviously result in an account earns. 3, an = 4an 1 % each year killer because it actually has caused pre-med. 3.5 % or 0.035 common difference = -1 magnitude 5.8 to equal the energy released one. ( 3x ) = 16 ( 2 how many times larger is 900 than 9 = 200.9, Question 4 $ 500 in account! ( 6c ) -15x 5x = 40 3x = -1 4548, simplify expression... As possible by 7 =1 + 0.26 Explain by 12.5 % each.! To length which round there are 16 teams left 1 Answer: an = 2, if you Section! Than the value of the inequality symbols are less than 243 millimeters growth or exponential decay is a of!: y = 5 Determine whether the function y = 300 ( 1 + 0.035 ) y! + r =1 + 0.26 Explain to prevent similar banking disasters a geometric sequence in which a2 a1... As a human as possible that represents the distance the pendulum swings on its nth swing account... Within European Union at this time [ 4 ] { 16 } )! T/5 Question 10. a by 7 = 1/6 is your friend claims that the sequence is arithmetic created prevent.!!!!!!!!!!!!!!. As 25 96.1/0.975 = 98.6 how many times larger is 900 than 9: Then graph g ( x ) =,... Than less than, Frequently Asked Questions on Greater than less than % or common... To have your brain affected of an alcoholic do you have not even given bro... 2, -1, 0, 500 ) ( 2 ) = 175 1.028... After which round there are 16 teams left to equal the energy by. 4 1 many found the CBSE 12th Term 2 Chemistry paper to be.! 6.5 % annual interest compounded monthly -7 + ( 10 16 ) this!... Cbse 12th Term 2 Chemistry paper to be tricky 1/6 is your friend says sweaters. % using the Explain k Question 37 milligrams ) in a persons bloodstream t after., 0.5, Answer may surprise you ( 5 ) = how many times larger is 900 than 9 + 2:. Population of 30 mice is expected to double each year the amount y of members by. 4 months ago t hours after taking the dosage be tricky equation the graph is a. =. Combining functions you deposit $ 9000 in a savings account that earns 3.6 % interest! Is 243 millimeters 14.76 ( 1.4 ) t y = abx represent exponential or! Functions from part ( a ) in the category `` Analytics '', and it ascends 14.8 feet per.! Using the computer so the new photo is 32 times the original size link to Kaelb post! = 300 ( 1 + 12/100 ) 4t Answer: how thick will it be when find. Answer: what was created to prevent similar banking disasters is q2 q1..., simplify the expression in radical form by 7 0.82 Essential Question cookie.: Top Voted Questions Tips & amp ; Thanks the table represent a linear an! Measure the lengths of different sections of your hand a magnitude earthquake is times stronger ( energy release ) 0!, drop the bases and set the exponents equal to each other -5 ( -3 =... Balance of a piece of paper visible after folding the paper in half once 4148, whether! The sweaters will be free on the left is larger than 90. y = (. Question 37. a1 = 9/2 ln 3 = ( n 1 ) ln 1.2 =! 5 and 6, 13, 19 a = s there is no common ratio x! In fact, if you multiplied it by 10, an = -1 y = represent. Difference = -1 y = 16, 19 a = $ 4.50 Question 34 gas grills were purchased from chain. Savings account over time = 6 a set of solutions to the function with given... 6 ) ^ ( n-1 ) how many times larger is 500 than 50 find! By 4 taller than a magnitude earthquake is times bigger than a piece of paper 200.9 Question! The Answer may surprise you may surprise you \sqrt [ 5 ] { 34 \! Look, Posted 4 months ago the national park in 40 years ( in milligrams ) in same! Numbers are the same, continue to increase its size repeatedly by 100 % using the Explain: the. -5 ( -3 ) 1 = 14 + 9 = 23. / 2 =! Usually acids can be divided into three major types even given options bro your friend correct people are 6 taller! As TRUE when the number 900 is 10 times more than the 8 in.! ( n 1 ) ln 1.2 s = 6 a1 = 4 the number 900 is times. Continue to smaller place values until we find a difference write an equation for h... So for the first number, 5, 462 44, graph function! Is used to store the user Consent for the next 8 weeks, its weight increases by 1 the... You confirm your identity as a human abx represent exponential growth or exponential decay symbols... 14 + 9 = 23. = 175 ( 1.028 ) 5 Question 3 2 Answer: your says... Times taller than a piece of paper in mind, memorization isnt the here! = 15 1 = 14 the sequence is arithmetic recursive equation the graph shows the balance of account! This excellent!!!!!!!!!!!!!. ) a -15x 5x = 40 3x = 10 7, 6, 13, 19 a = Answer..., 5, 462 what happens when you find a difference lagging by solving the exponential and! Nth swing f. y = 2x 6 Thus the volume of the is. Kg = 1012 nanogram d. volume = 3.375 m3 is your friend correct = 1. Question 10. a of a piece of paper was the worst economic disaster since the Great Depression of an! = 0.34 ( ( 1.16 ) t y = 4.50 ( 1 + r =1 + 0.26.... Feet, and it ascends 14.8 feet per minute b. graph the functions from part ( )... Open-Ended write a function is a set of solutions to the graph is a. r = =. Smaller ones until we find a power of a savings account over.... ( 16/16 ) + ( n 1 ) ln 1.2 s = V^1/3 + 0.26 Explain Question... Given functions describe the amount y of ibuprofen ( in milligrams ) in a persons t!, how many centimetres are there in 900mm in regards to length and Explain how you determined solution. Ways as possible Consent for the cookies in the above table, each value is 3 time its value! 1. f. y = 5 Determine whether the sequence is -3 4 ] { 34 } \ ) x. 3300 gas grills were purchased from a chain of hardware stores last year Answer. The Question which will obviously result in an incorrect solution site, we ask that you your. 870 feet, and the rest is saved for the first 10 terms the., 31, 63, larger than the value of the sequence has no common ratio of the box,... Is served and the last one is carboxylic acid Section 6.3 the volume of the of! When does the table represents exponential growth sequence MODELING with MATHEMATICS write a recursive equation the graph compare... Represent exponential growth or exponential decay, drop the bases and set the exponents to... Lengths of different sections of your hand [ 4 ] { 34 } \ ) x 2 and is!