100 Examples of sentences containing the adverb "quadratically"

Definition

Quadratically (adverb) refers to a manner or degree that is related to or characterized by a quadratic relationship, often implying that something changes or increases in proportion to the square of a variable. In mathematics, this term is frequently used to describe functions, equations, or growth patterns that follow a quadratic formula (ax² + bx + c).

Synonyms

• Squared
• Exponentially (in some contexts)
• Parabolically (in specific contexts)

Antonyms

• Linearly
• Constantly
• Proportionately

Examples

1. The area of the square increases quadratically as the length of the side increases.
2. The cost of production rises quadratically with the increase in output.
3. The function behaves quadratically when plotted on a graph.
4. As the speed of the object increases, the kinetic energy changes quadratically.
5. The relationship between the height and the volume of a cylinder is quadratically related.
6. In this experiment, the results varied quadratically with the temperature.
7. The performance of the algorithm improved quadratically with each iteration.
8. The revenue generated from sales increased quadratically due to the marketing strategy.
9. The growth of the tree can be modeled quadratically based on the years.
10. The distance traveled by the projectile can be described quadratically over time.
11. The impact of the variable was found to be quadratically significant in the study.
12. The graph illustrated how the values change quadratically.
13. The energy consumption rises quadratically with increased usage of appliances.
14. In the model, the variables relate quadratically to one another.
15. The error rate decreased quadratically as the sample size increased.
16. The speed of the reaction increased quadratically with the concentration of the reactants.
17. The population grew quadratically over the last decade.
18. The cost function is defined quadratically in the analysis.
19. The force applied changes quadratically with the displacement in this scenario.
20. The solution to the problem escalates quadratically under these conditions.
21. The output of the machine varies quadratically with the input parameters.
22. The depreciation of the asset occurred quadratically over time.
23. The success rate improved quadratically after the new training was implemented.
24. The data points plotted quadratically on the chart revealed a trend.
25. The efficiency of the engine increases quadratically with the fuel quality.
26. The cost of housing escalated quadratically in urban areas.
27. The relationship between the two variables is quadratically defined.
28. The effect of the catalyst was observed to be quadratically proportional to its concentration.
29. The response time decreased quadratically with each upgrade.
30. The findings suggested that the noise level increased quadratically with traffic.
31. The complexity of the problem grew quadratically as more variables were introduced.
32. The yield of the crop improved quadratically with better fertilization techniques.
33. The amount of light received by the plant varied quadratically with the distance from the source.
34. The profit margins expanded quadratically following the price adjustments.
35. The learning curve for the software improved quadratically with each training session.
36. The risk factors increased quadratically with age.
37. The temperature fluctuated quadratically during the experiment.
38. The height of the water in the tank rises quadratically as the inflow increases.
39. The score improved quadratically after the new teaching methods were applied.
40. The quantity of waste produced increased quadratically with production rates.
41. The satisfaction ratings were found to correlate quadratically with service speed.
42. The performance metrics were analyzed quadratically to determine efficiency.
43. The project costs escalated quadratically beyond initial estimates.
44. The time taken to complete tasks increased quadratically with complexity.
45. The relationship between speed and time can be expressed quadratically.
46. The volume of a sphere is calculated quadratically based on its radius.
47. The advertising effectiveness was measured quadratically in the study.
48. The variance in results was found to be quadratically related to sample size.
49. The distribution of scores was skewed quadratically in the test results.
50. The growth rate was modeled quadratically to predict future trends.
51. The energy output varied quadratically with the input voltage.
52. The delivery times improved quadratically with route optimization.
53. The analysis revealed that the error margin decreased quadratically with experience.
54. The task completion rate improved quadratically after process enhancements.
55. The frequency of the wave varied quadratically with tension.
56. The spread of the rumor grew quadratically over time.
57. The height of the parabola was calculated quadratically in the equation.
58. The increase in traffic congestion is quadratically related to population density.
59. The wind speed affects the sailboat's performance quadratically.
60. The temperature change was found to alter quadratically the system’s behavior.
61. The volume of a cylinder is related quadratically to its radius and height.
62. The acceleration increased quadratically with the applied force.
63. The relationship between two data sets was determined to be quadratically correlated.
64. The feedback ratings improved quadratically after implementing changes.
65. The annual rainfall showed a quadratic growth trend over the years.
66. The increase in sales was quadratically related to advertising expenditure.
67. The results demonstrated that the influence of the variable was quadratically significant.
68. The productivity levels increased quadratically as the team became more cohesive.
69. The formula used to calculate the area was derived quadratically.
70. The cycle time improved quadratically with better resource allocation.
71. The likelihood of success varied quadratically with experience.
72. The research findings indicated a quadratic relationship between the two factors.
73. The noise levels were observed to rise quadratically during peak hours.
74. The health benefits were found to increase quadratically with physical activity.
75. The profit increased quadratically as the market expanded.
76. The graphical representation illustrated how values changed quadratically.
77. The risk assessments were conducted quadratically to identify potential issues.
78. The changes in policy impacted the economy quadratically.
79. The data analysis revealed a quadratic pattern in the results.
80. The growth of bacteria in the culture medium increased quadratically.
81. The relationship between the two variables can be described quadratically.
82. The system's response time improved quadratically after upgrades were made.
83. The variability in results was found to be quadratically dependent on factors.
84. The findings showed that the usage of resources decreased quadratically.
85. The scoring system was designed to reward performance quadratically.
86. The results of the study were analyzed quadratically to determine trends.
87. The volume of gas produced varies quadratically with the temperature.
88. The increase in productivity was observed to be quadratically significant.
89. The temperature's effect on pressure was modeled quadratically.
90. The survey results indicated a quadratic relationship between the two groups.
91. The speed of the vehicle influences the stopping distance quadratically.
92. The relationship between pressure and volume is often described quadratically.
93. The final grades were calculated quadratically based on performance.
94. The increase in energy consumption was quadratically related to the number of devices used.
95. The population density affected resource allocation quadratically.
96. The time taken to complete the task increased quadratically with its complexity.
97. The analysis of the data showed a quadratic trend over time.
98. The performance improvements were found to be quadratically significant.
99. The study confirmed that the error rate fluctuates quadratically with sample size.
100. The relationship between time and distance traveled can be expressed quadratically.