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MATH SOLVE
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For the amusement of the guests, some hotels have elevators on the outside of the building. One such hotel is 300 feet high. You are standing by a window 100 feet above the ground and 150 feet away from the hotel, and the elevator descends at a constant speed of 30 ft / sec , starting at time t = 0 , where t is time in seconds. Let θ be the angle between the line of your horizon and your line of sight to the elevator. (a) Find a formula for h(t), the elevator's height above the ground as it descends from the top of the hotel h(t) 300-25t (b) Using your answer to part (a), express θ as a function of time e. Find the rate of change of θ with respect to t. de dt to you to be moving. At what time does the elevator appear to be moving fastest? The rate of change of θ is a measure of how fast the elevator appears time tc) seconds At what height does the elevator appear to be moving fastest?
General
4 months ago
Consider the two triangles.Triangles L M N and X Y Z are shown. Side L M is blank, side M N is 3, and side N L is 2. Side X Y is 12, side Y Z is 9, and side Z X is blank.To prove that △LMN ~ △XYZ by the SSS similarity theorem using the information provided in the diagram, it would be enough additional information to know thatLM is 3 units and XZ is 5 units.LM is 4 units and XZ is 6 units.LM is 5 units and XZ is 3 units.LM is 6 units and XZ is 4 units.
General
4 months ago
Circle G and X connect at point Y. The length of G Y is 10 centimeters and the length of Y X is 16 centimeters.Point G is the center of the small circle. Point X is the center of the large circle. Points G, Y, and X are all on line segment GX.Marco wants to create a new circle using GX as a radius. What will be the area of Marco’s new circle?10Pi centimeters squared16Pi centimeters squared356Pi centimeters squared676Pi centimeters squared
General
4 months ago
How much would $600 be worth after 10 years, if it were invested at 4%interest compounded continuously? (Use the formula below and round youranswer to the nearest cent.)Aft) = Poet
General
4 months ago
A manufacturing process produces bags of chips whose weight is N(16 oz, 1.5 oz). On a given day, the quality control officer takes a sample of 36 bags and computed the mean weight of these bags. The probability that the sample mean weight is below 16 oz isGroup of answer choices:A. 0.55B. 0.45C. 0.50D. 0.60
General
4 months ago
Researchers are planning a study to estimate the impact on crop yield when no-till is used in combination with residue retention and crop rotation. Based on data from a meta-analysis of 610 small farms, the researchers estimate there is a 2.5% decline in crop yield when no-til is used with residue retention and crop rotation. Suppose the researchers want to produce a 90% confidence interval with a margin of error of no more than 7.0%. Determine the minimum sample size required for this study. The sample size needed to create a confidence interval estimate depends on the margin of error, the initial estimated proportion, and the confidence level. Be sure to use proportions rather than percentages. Round your final answer up to the nearest whole number. n=_____________________held comparisons
General
4 months ago
The null hypothesis for an ANOVA is that all treatments/samples come from populations with the same mean. The alternative hypothesis is best stated as: "" of the population means is different from the others.
General
4 months ago
a) Γ(n) =∫[infinity]0tn−1e−tdta)Show that Γ(n+ 1) =nΓ(n) using integration by parts.b) Show that Γ(n+ 1) =n! , wherenis a positive integer, by repeatedly applying the result in parta)c) Compute Γ(5).d) Prove what the value of Γ(12) should be by evaluating the gamma function forn= 1/2 and usingthe fact that∫[infinity]0e−u2du=√π2.
General
4 months ago
Identify the inequality that represents the following problem "Two more than three times a number is at least eight" What is the solution set?a. 2 ≥ 8+3nb. 3n+2 > 8c. 3n+2 ≥ 8d. 2 > 8+3nWill give brainlyest
General
4 months ago
Given the system of equations presented here:2x + 4y = 144x + y = 20Which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated? (5 points) aMultiply the second equation by −4 to get −16x − 4y = −80 bMultiply the second equation by −1 to get −4x − y = −20 cMultiply the first equation by 2 to get 4x + 8y = 28 dMultiply the first equation by −1 to get −2x − 4y = −14
General
4 months ago
△BCD is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters. What is the length of the other leg? Enter your answer, as a decimal rounded to the nearest tenth, in the box.
General
5 months ago
The graph below shows the value of Edna's profits f(t), in dollars, after t months: graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0 and vertex at 12, negative 36 and passes through 3, 49.5 and 9, negative 27.25 What is the closest approximate average rate of change for Edna's profits from the 3rd month to the 9th month? A. −69.75 dollars per month B. −11.63 dollars per month C. Six dollars per monthD. Nine dollars per month(i think it's C but i'm not sure)
General
5 months ago
The graph below shows the height of a tunnel f(x), in feet, depending on the distance from one side of the tunnel x, in feet:Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 100, 0. The vertex is at 75, 50.Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height? (6 points)Part B: What is an approximate average rate of change of the graph from x = 15 to x = 35, and what does this rate represent? (4 points)
General
5 months ago
Which situation is best represented by the following equation? 40w + 12.50 = 492.50 A) Nicole paid $40 for self-defense classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes? B) Nicole paid $12.50 for self-defense classes. She paid a $492.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes? C) Nicole paid $492.50 for self-defense classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes? D) Nicole paid $492.50 for self-defense classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?PLEASE HELP ME
General
5 months ago
PLEASE HELP MEEEEE bowen invested an average of $350 per month since age 44 in various securities for his retirement savings. his investments average a 5% annual rate of return until he rited at age 69. given the same monthly investment and rate if return, how much more would bowen have in his retirment savings had he started investing at age 30? assume monthly compounding.a. $379,353.51b.$61,740.00c.$295,594.30d.$132,300.00
General
5 months ago
Which number produces an irrational number when multiplied by 0.25?A. negative square root 15 B. 0.54713218...C.0.45D. square root
General
5 months ago
Which expression is equivalent to 3sqrtx^5y? A)x^(5/3)yB)x^(5/3)y^(1/3)C)x^3/5yD)x^3/5y^3
General
5 months ago
What is the length of AC?
General
5 months ago
Which of the following is equivalent to 36^(-1/2)? A)-18B)-6C)1/18D)1/6
General
5 months ago
Drag the system of equation to the point that represents the solution to the system. ITEMBANK: Move to Bottom 2x - y = -13y = x + 9x + y = 7x - y = -1y = 3x - 7y = 2x - 53x + 2y = 106x - y = 104x - 3y = 53x + 2y = -9
General
5 months ago
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