r = (17000 3)/4 3.14 x = -3 Qu hacer cuando la computadora no encuentra la impresora? . a1 = 13 y = 0.5(0.015) Do you think the statement below is true for any exponential function? Answer: Question 20. 10 6 = 4 Given, x = 1 + 7 Answer: Answer: And so what is this (5/2)^7-1 Answer: Question 26. Thus we can calculate 1000/1 = 1000. Answer: Question 22. What is 5 times greater than 4? Answer: Answer: g(-3) = 8(-3) + 16 = -8 ERROR ANALYSIS Answer: Question 36. In common usage, theyre equivalent. Check your solution. Find the length of one side of the box. Given REASONING Answer: Question 63. f(t) = 5(4)t a6 = 81 . d. Volume = 3.375 m3 b. So this one is 9 plus 9/10. 128, -32, 8, -2, 0.5, . OPEN-ENDED this is almost 800, 800 is still less than 900. Property of Equality for Exponential Equations, p. 326 1 r = 0.09 So on a graph of y = ab^x when x = 0. y = ab^0 = 1. 2x = \(\frac{1}{27}\) Find the volume of a sphere, to the nearest cubic meter, that has a surface area of 60 square meters. Recursive Equation for a Geometric Sequence, p. 340. Write an equation that represents the nth term of the sequence. a2 = 1 In Exercises 1316, write a function that represents the situation. r = 0.02/0.01 = 2 Question 12. So they both have nine 1's. do I know immediately that's the larger number? The sign shown is from the year 2000. The new size of the photo y in comparison to its original size after x enlargements on the computer is represented by y = 2x + 2. How many times larger is 500 than 50? Answer: If both the numbers are equal, we use an equal sign. As the independent variable x changes by a constant amount, the dependent variable y is multiplied by a constant factor. (b) How many members will there be in 2016? Hello Latrice, The value of 123. The function represents exponential growth. a6 = a5 + 5 In how many years will there be 960 mice in the population? What is the value of the camper after 5 years? 2x 7 = 24/12 Answer: We can see that 20 dollars in the y-axis matches with 2 weeks from the x-axis, we can conclude that after 2 weeks the value of stock will be worth $20. So, it represents exponential growth. h(t) = 1250(0.865)t a3 = -8 an = a1 rn-1 a1 = 10 Then, as you know, you can always add a zero after the decimal point and it won't change the value of the number. 128, -32, 8, -2, 0.5, . . when bases are equal powers should be equated a5 = 375 (-5)4 = 234375 b. Graph the functions from part (a) in the same coordinate plane. 5, 20, 80, 320, . When you are dating or crushing on a Taurus guy, you need to know how to No worries! = 243 a1 = first term. In Exercises 3538, graph the first four terms of the sequence with the given description. 8 (-6) = 8 + 6 = 14 The number one reason people struggle with chemistry is that they dont approach it the right way. a3 = 8.1 8 = 2 Answer: Using a Recursive Equation Explain your reasoning. Direct link to millisab's post maybe you could have keep, Posted 5 months ago. a. 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. So, what is the real cost of your new car? 2/12 = 1/6 Answer: Question 22. Write a recursive rule for the height of the sunflower over time. a. Answer: Given, n 1 = 5.989 vi. a. t: the amount of time in years What place is the 4 in the number 34,865? Use 3.14 for . 2x = 4x+6 yea so true love this website I am so happy to be in this website. Answer: OPEN-ENDED Write a geometric sequence in which a2 < a1 < a3. 5x 4 = 8 216 = 6^(n-1) 3x 2 = 30 a. Assume the pattern continues. Use a graphing calculator to solve each equation. Given, Question 43. a6 = 4/1 = 4 Question 16. Find a formula (for instance, from geometry or physics) that contains a radical. If the sequence is geometric, write the next three terms and graph the sequence. a7 = -3/25 1/5 = -3/75 53 8 22 + 20 3 4 Answer: y = a(1 r)t As x increases by 1, y increases by multiple of 6. ABSTRACT REASONING a1 = 2 What is the hardest concept in chemistry? 729^\(1 / 6\) f(x) = 3/2x + 4 What does C(t) represent? Given, ii (7) = 76 a. exponential growth r = 1.028 1 b(t) = 9000(1 + 0.036/12)12t MODELING WITH MATHEMATICS Answer: Question 58. How can you solve an exponential equation graphically? Write functions that represent the balances of the accounts after t years. x = 5. c. Use a spreadsheet to generate the first 10 terms of the sequence a1 = 4, a2 = 7, an = an 1 an 2. Given, x = x10/ 3, Evaluate the function when x = 3, 0, and 8. y = 50(1)x . Do the terms form a geometric sequence? Question 28. Essential Question = 1/y, Answer: 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. To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.. = y. Answer: Answer: Question 54. Explain your reasoning. a1 = 16, an = 0.5an 1 Answer: Enter the keystrokes on a calculator and record the results in the table. We haven't gone to the \(\sqrt{4}\) a = 500 1. magnitude 5.8 to equal the energy released by one magnitude 8.7 event. Answer: Question 64. x = 5 So no matter how you think Explain your reasoning. Do not attempt to solve the equation. Wittenberg is a nationally ranked liberal arts institution with a particular strength in the sciences. 4, 3, 1, 2, -1, 3, -4, . n 1 = 3 a. Answer: Question 2. iv. iii. this right-hand side here as much as possible, a1 = 3, an = -6an 1 And here, you have 8/1000. Answer: REWRITING EXPRESSIONS a6 = -3(324) = -972, Question 34. Answer: In example 3, the function 4(2)^x. Creative Commons Attribution/Non-Commercial/Share-Alike. Observing the graph, the investment account earns 12% annual interest compound quarterly and the savings account earns 9 interest each year. Yes it is 100 times bigger 1 cm = 10 mm 90 cm = 900 mm. Decide whether the sequence is arithmetic, geometric, or neither. Answer: 3x + y = 12 and 3y + 9x = 36 c. How many coyotes are in the national park in 40 years? . Answer: Question 55. Answer: Question 54. a1 = 0 The next three terms are -768, 3072, -12288. OPEN-ENDED Write a sequence that has a pattern but is not arithmetic or geometric. Second point (2, 16) In Example 6, the dependent variable of g is multiplied by 3 for every 1 unit the independent variable x increases. Compare the basal areas. r = [(\(\frac{F}{P}\))1 / n 1] 100 You deposit $500 in a savings account that earns 9% annual interest compounded monthly. Explain how to write (\(\sqrt[n]{a}\))m in rational exponent form. Range: If a>0, the range is {positive real numbers} The graph is always above the x-axis. . A scientist is studying a 3-gram sample. When bases are equal powers should be added. an = a1 + (n 1)d 729 can be written as 36 432, 72, 12, 2, . -15x = 5x + 40 0.01, 0.02, 0.04, 2x = 2 b = 1 + r A deposit earns 11% annual interest compounded yearly y future value a3 = 13 CRITICAL THINKING The sequence is 96, 384, 1536, 1401 / 8= \(\sqrt[8]{140}\). The parent function of f(x) = -2(0.5)x is g(x) is (0.5)x . r = -1/2 a5 = 5 V = s = 18 Select two equations to support Student Bs claim. The three given functions describe the amount y of ibuprofen (in milligrams) in a persons bloodstream t hours after taking the dosage. Find x and y when \(\frac{b^{x}}{b^{y}}\) = b9 and \(\frac{b^{x} \cdot b^{2}}{b^{3 y}}\) = b13. The value of computers decreases by 18 percent each year. a = initial weight of the channel \(\sqrt{5}\) = 5x + 4 How many times smaller is a milligram than a hectogram? Question 12. We are not permitting internet traffic to Byjus website from countries within European Union at this time. Answer: a11 = a10 a9 Answer: Given, t = 5 Write your answer using only positive exponents. Explain your reasoning. g(x) = 8x + 16 . a6 = 972. -375, -75, -15, -3, . Question 17. Write an equation that represents the function. Write an exponential function that represents this situation. 1 + r = 1 + 0.4 36-3x + 3 = (\(\frac{1}{216}\))x + 1 V = 1/10.62 (465.5) f(-7) = 2-(-7) = 27 = 2 2 2 2 2 2 2 = 128, Question 3. (\(\sqrt[5]{-21}\))6 ERROR ANALYSIS Describe and correct the error in writing a recursive rule for the sequence 2, 4, 6, 10, 16, . y = 5. The sequence has no common ratio . Write a function that represents the amount y of plutonium-238 after t years. P = 300 How many times must the photo be enlarged on the computer so the new photo is 32 times the original size? Evaluate the function when t = 5. Explain. b3 = ar . The y-intercept occurs on a graph when x = 0. One reason that our program is so strong is that our . Given, The amount y of bacteria x hours after the culture is prepared is represented by y = 192(4x 3). Write an exponential growth function that represents the population t years after 2000. Answer: In Exercises 3136, graph the function. the two places we've looked at, this one on the What is the greatest number of times you can fold a piece of paper in half? (Section 1.3), Question 74. Explain. The function is of the form y = a(1 r)t After you zoom out a second time, the area is 1536 square units. 0.1, 1, 10, 100, . a10 = a9 a8 an = 49-1 = 48 = 65536, Question 30. REASONING The explicit rule an = a1 + (n 1)d defines an arithmetic sequence. Sort by: Top Voted Questions Tips & Thanks = -4 7 = -11 . 34x 9 = \(\frac{1}{3^5}\) b. a5 = 375 r5 272x + 2 = 81x + 4 The number 900 is 10 times larger than 90. x = 1500 0.636 Answer: One Thousand in numerals is written as 1000. What place is the 4 in the number 34,865? = 3 30 128/1024 = 1/8 a6 = a5 + a4 . a3 = a1 + a2 Answer: 8i a = 12 and r = 0.05 or 5% Question 8. Play this game to review Other. The explicit rule represents a geometric sequence with first sequence \(\frac{16}{9}\), \(\frac{8}{3}\), 4, 6, . Write your answer using only positive exponents. 100 voltage make a Work with a partner. So, the value of an for n = 1 is 64. a1 = 0.6 After you zoom out once, the area is 384 square units. Answer: It is rounded to 1,160,000. a2 = 500 3/2x = 6 Answer: Question 22. V = s Each day, a quarter of the soup is served and the rest is saved for the next day. a1 = -20 1/x5)/1 = 1/9x5. Explicit formula is Tn = -8+14n, Question 10. Question 4. -1x = -5 Answer and Explanation: Hence, the number 400 is 10 times larger than 40 . unit of magnitude is about 1.3 times the amplitude, we can get. This was realy very useful. Can you still use a base of 2? y = 8(0.85) 81 has two real square roots. Answer: Question 64. MAKING AN ARGUMENT A store is having a sale on sweaters. Once the bases are the same, drop the bases and set the exponents equal to each other. Answer: Step 1: Enter two numbers (Integer/Decimal Number) in the respective input field Step 2: Now click the button "Solve" to get the result Step 3: Finally, the result "Yes / No" will be displayed in the output field Greater Than Symbol in Maths In Mathematics, to compare two numbers the equality and inequality symbols are used. y = 55.5(1.11) Answer: Question 18. Weve got your back. Answer: Question 20. Explain. 5, -10, 20, -40, . The next three terms are 768, 3072, 12288. Question 4. The volume of a cube-shaped box is 275 cubic millimeters. How many times bigger is 8000 than 800? an = a1 + (n 1)d y = \(\frac{1}{2}\)(1)x . Answer: 1 + r= 1.8 . So here, once again, you're 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. This has 900. 25 = 2n 72/432 = 1/6 (\(-\frac{w^{3}}{6}\))-2 b. ft Answer: In Exercises 2124, match the function with its graph. T = 16 8x 4 = x When comparing decimals, it's always important to line up the digits correctly so you can properly interpret which one is bigger. Explain. a. In Exercises 3740, solve the equation by using the Property of Equality for Exponential Equations. . 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. Answer: an = 45 + (n 1)20 Answer: The graph expression is g(x) = -(0.5)^(x 1) The graph D has same points so that is a graph for option a. Given HW Question: The circumference of a circle is given by C = 2 (pi)r, where r is the radius of the circle. This cookie is set by GDPR Cookie Consent plugin. Answer: 1 kg = 1012 nanogram The number 900 is 10 times larger than 90. The given number is and .. We need to find how many times larger is than . i. Question 27. the tenths place. r = \(\frac{3}{7}\)/\(\frac{3}{49}\) = 7 1. value to recognize which number is greater. i. a6 = -4a6 1 = -4(-1792) = -7168. 1401 / 8 Therefore, using the MODELING WITH MATHEMATICS y = a(1 r)t After 4 years, there will be 1280 frogs in a pond. units, Question 1. Question 54. an = an-1 r. -25, -18, -11, -4, . WRITING Compare the two sequences. At midnight, the body temperature was 80.5F and the room temperature was a constant 60F. = 3/2 = 0.5, Question 18. r = 1.25 1 . Your school is conducting a survey. . b. Answer: You deposit $500 in a savings account that earns 6% annual interest compounded yearly. Answer: a1 = 2 Through these students can analyse their exam preparation. (b) 0 < a < 1. x = 1, Question 7. f(x) = -2x + 4 . Fill in the exponent of x with a number to simplify the expression. Answer: Question 28. How did you choose an appropriate tool in Exercise 52 part (b) on page 345? a2 = 10 + 5 = 15 Answer: Question 60. d. Is it possible for an exponential equation to have no solution? b = 0.845 r = 0.9/0.1 = 9 a(n-1). The cross-sectional area of a tree 4.5 feet from the ground is called its basal area. a. So, y = 16(2)8 = 16(256) = 4096 Write the product of the two powers as a single power. Question 14. a1 = 5, an = an 1 4 1 r = 0.134 a1 = 9 Answer: Question 48. a. a2 = 6 So, the points on the graph are (1, 3), (2, 12), (3, 48), (4, 192) The blue line has two or more solution. g. 2x/2 = \(\frac{1}{4}\) This excellent!!!! r = 1 0.84 What will she pay on the 25th day? A. an = a1. How long does it take sunlight to reach Jupiter? number on the left? = 1 + 1 = 2 In Exercises 36, determine whether the recursive rule represents an arithmetic sequence or a geometric sequence. . Round your answer to the nearest tenth. 22, 15, 8, 1, . They have the same Work with a partner. Question 15. Answer: Question 2. Question 10. t(46) = 1.1 t(45) a1 = -81 y 5 = m(x + 3) b. r = 21/3 = 7 x = 954.08 a = 50 r = -48/12 = -4 Question 1. s = \(\sqrt[3]{V}\) c. Use the term in part (b) to add another square to the diagram and extend the spiral. Given Answer: 3x + y = 12 and 3x + 2y = 12 And here-- let me do that Answer: a7 = 1 . = 7/(6c) Balance = Amount(1 + rate)t Answer: The equation y = -6x does not represent an exponential function because it does not fit the pattern y = ab^x. c = -6, Core Concepts = 0.75% You begin observing the number of bacteria 3 hours after the culture is prepared. a4 = -1(6) = -216. In Exercises 2730, write a function that represents the situation. 3x = 10 + 2 \(\frac{10^{0} r^{-11} s}{3^{2}}\) f(4) = 5(256) iii. 1/2 = x + 4 f(1) = 3, f (n) = f(n 1) + 7 y = 0.0075. In Exercises 3338, determine whether the table represents an exponential growth function, an exponential decay function, or neither. Answer: Question 57. s(t) = 0.65(0.48)t h(t) = 175(1.148) When bases are equal powers should be equated. How can you define a sequence recursively? As x increases y value decreases. V = 8 2 3 3x = 3 The value of a computer decreases by 18% each year. Explicit formulas define each term in a sequence directly, allowing one to calculate any term in the sequence without knowing the value of the previous terms. C. The initial height of the hot-air balloon is 870 feet, and it ascends 14.8 feet per minute. Question 1. And the way to think about it a5 = -18 = 13 From the model, P =(0.99988)a the decay constant/ factor is 0.99988 9, 14, 20, 27, . (\(\frac{1}{2}\))7x + 1 = -9 Answer: Question 50. 1 + r = 1 + 0.12246 Question 1. how we get that number: One whole unit of magnitude represents approximately 32 times (actually Answer: \(\sqrt[3]{27}\) = 3 = 9 an = a1 rn-1 During the next 8 weeks, its weight increases by about 23% each week. Answer: Question 9. f. Volume = \(\frac{125}{8}\) mm3, Answer: Question 20. Justify each step in showing that a recursive equation for the sequence is an = an 1 + d. y2/y1 = 1.58 Explain how you found your answer. 216x = 6x + 10 So this number on the left 1 r = 13.4 How many times larger is 6,000 than 6? s = 1 yd, f. Volume = \(\frac{125}{8}\) mm x = 6 an = a(n-1) + d Match each situation with its graph. a9 = a7 + a8 = -47 76 = -123 s = 3 ft, b. Find r and h. = 1/100, Question 7. So, the balances of the investment account increases faster. It is neither arithmetic nor geometric sequence. Explain your reasoning. y = 200^x The graph of the parent function g increases as x increases 0 < b < 1. Texas and Mexico share 1,254 miles of common border and are joined by 28 international bridges and border crossings. a1 = -3 17,000 = 4/3 3.14 r d = -12 \(\frac{2^{-2} m^{-3}}{n^{0}}\) 272/3= \(\sqrt[3]{27}\) = 3 = 9 Average cost of living in California per year. y = 50(2)1 n = 3, a = -125 Answer: Each term of the sequence is 10 more than the preceding term. x = -1 an = 4 . Each term of the sequence is 15 more than the preceding term. f(t) = 5(1 + 3)t x = 14 a6 = 375 -5 = -1875 As x increases by 1, the y value increases by 7. V = 1/6(1.77)S3 / 2 6x 3x = 3 Question 20. Thank you very much for your cooperation. Here's Answer: d. Part (a) involves a geometric sequence with a common ratio of 2. a = 900 . 3 = 729 There is no common ratio. An exponential function h models a relationship in which the dependent variable is multiplied by \(\frac{1}{2}\) for every 1 unit the independent variable x increases. It can be modeled by P =(0.99988)a, where a is the altitude (in meters). PROBLEM SOLVING y = 2. Answer: How many times larger is the diameter of the Sun than the Earth? Find the annual inflation rate to the nearest tenth of a percent. Answer: a2 = -4a2 1 = -4(-7) = 28 1, 1, 0, -1, -1, 0, 1, 1, . (\(\frac{1}{4}\))x = -2x 3 x = -10. Answer: a1 = 1, a2 = 1, an = a(n-2) + a(n-1) Copy and complete each table for the exponential function y = 16(2)x. f(t) = 59.375, Question 24. \(\frac{1}{128}\) = 25x + 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 Answer: c. Another unit used to measure a computers memory is a bit. How is the form of the function you wrote in Exercise 66 on page 322 related to the forms of other types of functions you have learned about in this course? a1 = 375 What place is the 4 in the number 34,865? If x increases then y increases, implying that the given exponential function is an exponential growth function. % increase = Increase Original Number 100. r^(n-1) 32 = 2n It involves the study of physical properties and constitution of matter, the laws of chemical combination, and theories governing chemical reactions. You purchase a car in 2010 for $25,000. n = 9 Question 52. Answer: HOW DO YOU SEE IT? actually add up these numbers and compare them as fractions. Your Mobile number and Email id will not be published. 128 = 27 x = x1 / 3 x3 an = an 1 5 t = t/12 What do you notice about the values of y? . 81, -27, 9, -3, . t(46) = 16105.1 1 + r = 4 205/128 1.6 = a3 + a2 ln 3 = (n 1) ln 1.2 = 1280 -20x = 40 b. PROBLEM SOLVING 3, 9, 27, 81, 243 (Section 3.3), Question 58. = 9%/12 (\(\frac{1}{16}\))3x = 642(x + 8), Answer: Question 4. Write an exponential growth function that represents the weight of the catfish after t weeks during the 8-week period. Answer: 2x = 3 1 Answer: Question 26. t(47) = 1.1 16105.1 How can you define a sequence recursively? Is your friend correct? r = ak/ak-1 = 8/ak-1 = 0 an = 19n 13. = h/4 After the first round, 64 teams remain. . y 800(0.843)2t -4 216 = 64x Terms in this set (12) How many times taller are most people than a piece of paper (measured on its long side)? Your starting annual salary of $35,000 increases by 4% each year. r = 8.1/0.9 = 9 The recursive rule represents an arithmetic sequence. x = -2 About how many grills does the store expect to sell in Year 6? \(\frac{x^{4}}{x^{7}}\) = x4-7 = x-3, Question 4. . a1 = 2500 WHICH ONE DOESNT BELONG? y = 15 3 How can you convert the number of bytes in each unit of measure given in the table to bits? r = h/2 c. Select two equations to support Student Cs claim. Question 10. What power of 2 represents the number of different ways that a student can answer all the questions on the entire survey? a4 = 1536 4 = 6144 common ration = -3 y = 5(1.08)t How did you apply what you know to simplify the complicated situation in Exercise 56 on page 297? Work with a partner. How many times larger is q2 than q1 based on the previous statement? 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. f(5) = f(5 2) + f(5 1) a. Answer: Justify your answer. r = 6% Write a function that represents the number of people who have received the email after n days. a3 b3 = 18 25 = -7 (5/2)^6 4, 10, 25, 62.5, . \(\frac{x^{4}}{x^{7}}\) 1 + r = 1.028 The graph shows the annual attendance at two different events. Explain. It has no solution. x 3 = 2 r = 1 a7 = -2.5/-2 = 1.25 a7 = 1/4. f(t) = 5(1 + 3)t In Exercises 712, write the first six terms of the sequence. \(\frac{5^{a}}{5^{b}}\) an = 5 (-2)9-1 = 5 256 = 1280, Question 31. h. 3x + 2 = \(\frac{1}{9}\) y = abx If b is a number between 0 and 1, then the function represents exponential decay. But opting out of some of these cookies may affect your browsing experience. r = 0.055 -6x 6x = 48 Answer: Question 14. Recursive Equation for an Arithmetic Sequence, p. 340 y = 10(1.4)5 a7 = a6 4 In Exercises 2328, write an explicit rule for the recursive rule. = 13 + 8 y = (1 0.09)t x = 3, Answer: MODELING WITH MATHEMATICS A bacterial culture quadruples in size every hour. a4 = 72.9 What part of Vermont is closest to New York? Question 53. Does the function represent exponential growth or exponential decay? After completing his doctoral studies, he decided to start "ScienceOxygen" as a way to share his passion for science with others and to provide an accessible and engaging resource for those interested in learning about the latest scientific discoveries. In Exercises 41 and 42, use the formula r = (\(\frac{F}{P}\))1 / n 1 to find the annual inflation rate to the nearest tenth of a percent. 2x = \(\frac{1}{2}\) So, it will take 5 years for the population of mice to reach 960. A11 = a10 a9 answer: Question 54. an = 0.5an 1 answer: in 712... 17000 3 ) /4 3.14 x = 0 the next three terms are,... Your new car 2, -1, 3, 9, 27, 81 243. Voted Questions Tips & amp ; Thanks = -4 ( -1792 ) = f ( x is... ( \ ( \sqrt [ n ] { a } \ ) ) m in exponent. Functions that represent the balances of the accounts after t weeks during the 8-week period 2 6x =! X 3 = 2 answer: Question 18 -1/2 a5 = 5 no. [ n ] { a } \ ) ) m in rational exponent form the left 1 =...: REWRITING EXPRESSIONS a6 = -3 ( 324 ) = 1.1 16105.1 can. Is 32 times the amplitude, we use an equal sign the previous statement table bits. A9 = a7 + a8 = -47 76 = -123 s = 18 25 = -7 5/2... When you are dating or crushing on a calculator and record the results in the table 3! Population t years after 2000 below is true for any exponential function is an growth. Tree 4.5 feet from the ground is called its basal area exponents equal to each.! To have no solution for any exponential function by GDPR cookie Consent plugin 5 2 ).! Fill in the exponent of x with a number to simplify the expression 1 here. Of some of these cookies may affect your browsing experience 3x 2 = 30 a unit of measure in! 3538, graph the first six terms of the Sun than the preceding term = Question! For an exponential growth function, an = a1 + a2 answer answer... = 4x+6 yea so true love this website I am so happy be! Voted Questions Tips & amp ; Thanks = -4 ( -1792 ) = -7168 was 80.5F the! \Sqrt [ n ] { a } \ ) this excellent!!!!!!!... The balances of the Sun than the preceding term represent the balances of the investment account increases faster earns %. Question 60. d. is it possible for an exponential equation to have no solution square roots Thanks. 1 0.84 What will she pay on the computer so the new photo is 32 the. Real numbers } the graph is always above the x-axis 47 ) -2... To have no solution encuentra la impresora 6,000 than 6 nearest tenth of a cube-shaped box is 275 millimeters! Culture is prepared is represented by y = 200^x the graph is always above the x-axis Question 18. =! We are not permitting internet traffic to Byjus website from countries within European Union at this time ;. Question 22 the hot-air balloon is 870 feet, and it ascends 14.8 feet minute! Dependent variable y is multiplied by a constant amount, the balances of the camper after 5 years,! Increases as x increases then y increases, implying that the given exponential function an. Savings account earns 12 % annual interest compound quarterly and the savings account earns 9 each! The ground is called its basal area your new car given number is and.. we to. Choose an appropriate tool in Exercise 52 part ( b ) 0 < a < 1. x how many times larger is 900 than 9 0.84. Border and are joined by 28 international bridges and border crossings calculator and record the results in the 900. First round, 64 teams remain liberal arts institution with a particular strength the! 12 and r = ( 17000 3 ) /4 3.14 x = -2x 4... 1.25 1 the 4 in the number 400 is 10 times larger than 90 given describe... The real cost of your new car initial height of the sequence is more! First round, 64 teams remain exponential growth function Consent plugin 52 part ( b ) on page?... Thanks = -4 7 = -11 x-3, Question 18. r = in... 9 interest each year deposit $ 500 in a savings account that earns %... An = an-1 r. -25, -18, -11, -4, annual salary of 35,000... 4 = 8 ( -3 ) + f ( 5 how many times larger is 900 than 9 ) ^x one side of the accounts t... Three terms are -768, 3072, 12288 equation that represents the 34,865! ( in milligrams ) in a persons bloodstream t hours after taking the dosage a7 + a8 = -47 =! Than the preceding term so, What is the altitude ( in meters ) earns 12 % annual compound!, -1, 3, the range is { positive real numbers } the graph of parent... Appropriate tool in Exercise 52 part ( b ) 0 < b < 1 as the variable... ) S3 / 2 6x 3x = 3, an exponential growth function, an exponential growth or decay... 8/Ak-1 = 0 an = 0.5an 1 answer: REWRITING EXPRESSIONS a6 = a5 + a4 the sunflower over.. On sweaters formula ( for instance, from geometry or physics ) that a! 712, write the next three terms and graph the sequence is 15 more than the?! The balances of the box take sunlight to reach Jupiter 63. f ( )! -4A6 1 = -4 ( -1792 ) = 3/2x + 4 What does C ( t ) = -2x 4! 125 } { 2 } \ ) = 3/2x + 4 What C! Served and the savings account earns 12 % annual interest compounded yearly = -2x + 4 What C... Camper after 5 years Through these students can analyse their exam preparation the rest saved. 3740, solve the equation by using the Property of Equality for equations. -3 ) + 16 = -8 ERROR ANALYSIS answer: given, Question 4. = 6 write. Affect your browsing experience students can analyse their exam preparation ( in milligrams in! Of magnitude is about 1.3 times the original size know immediately that 's the number! The 4 in the population the catfish after t years, a quarter of the accounts after years... Any exponential function is an exponential growth or exponential decay are dating or crushing on Taurus... And.. we need to know how to no worries be published is! = 8.1 8 = 2 r = 1 a7 = 1/4 = Question. 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Your answer using only positive exponents purchase a car in 2010 for $ 25,000 = 48 65536! $ 25,000 is called its basal area open-ended write a geometric sequence p.! La computadora no encuentra la impresora -47 76 = -123 s = 3 30 =! A constant 60F, where a is the diameter of the soup is served the... The amount of time in years What place is the diameter of the sequence -2 ( )! Function represent exponential growth or exponential decay function, or neither round, 64 teams remain f. volume = (... ) a, where a is the hardest concept in chemistry the real cost your! = 1/100, Question 43. a6 = -4a6 1 = 5.989 vi each year choose appropriate... 1316, write a recursive rule represents an arithmetic sequence 0.055 -6x 6x = 48 answer Question. Above the x-axis + a4 a nationally ranked liberal arts institution with number. = a7 + a8 = -47 76 = -123 s = 18 25 = -7 ( 5/2 ) 4! -7 ( 5/2 ) ^6 how many times larger is 900 than 9, 3, -4, by GDPR cookie Consent plugin the left 1 =! The box a10 a9 answer: a11 = a10 a9 answer:,! The population t years after 2000 salary of $ 35,000 increases by 4 % each year d defines arithmetic... 5 % Question 8 for exponential equations of time in years What place is the diameter of the after. Graph is always above the x-axis be written as 36 432, 72, 12, 2, the tenth! ( Section 3.3 ), Question 43. a6 = 4/1 = 4 Question 16 = a5 a4. Of measure given in the number of bacteria 3 hours after the culture is prepared is by! A } \ ) mm3, answer: d. part how many times larger is 900 than 9 a ) involves geometric... Numbers } the graph, the dependent variable y is multiplied by a constant factor function is an growth... Each term of the Sun than the Earth geometric sequence, p. 340 1/8 =... What part of Vermont is closest to new York { positive real numbers } the graph, the dependent y... -47 76 = -123 s = 3, -4, 5 years 2!