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suppose that a spotlight is used for lighting objects at many different distances and that the area a of the light circle produced is related to the distance x to the lighted object by a=0.1x^2.
a. if the spotlight produces 250 lumens of light energy, what function gives the intensity of the light i, (in lumens per square foot) as a function of the distance x in feet from the spotlight to its target?
b. write and solve equations that match these questions about the light intensity from the spotlight.
i. what is the intensity of light on an object that is 20 feet from the spotlight source?
ii. how far from the spotlight is an object that recieves 100 lumens of light per square foot?

Graph the equation by plotting point x=2

Which undefined geometric term is described as a location on a coordinate plane that is designed by an ordered pair (x, y) ?

Listed below are time intervals (min) between eruptions of a geyser. assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. do not assume that the population standard deviations are equal. does it appear that the mean time interval has changed? is the conclusion affected by whether the significance level is 0.10 or 0.01? recent 78 90 90 79 57 101 62 87 71 87 81 84 57 80 74 103 62 past 88 89 93 94 65 85 85 92 87 91 89 91 follow the steps of hypothesis testing, including identifying the alternative and null hypothesis, calculating the test statistic, finding the p-value, and making a conclusions about the null hypothesis and a final conclusion that addresses the original claim. use a significance level of 0.10. is the conclusion affected by whether the significance level is 0.10 or 0.01? answer choices below: a) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10. b) no, the conclusion is not affected by the significance level because h0 is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. c) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01. d) no, the conclusion is not affected by the significance level because h0 is rejected regardless of whether a significance level of 0.10 or 0.01 is used.