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A baseball team plays in a stadium that holds 66,000 spectators. With the ticket price at $\$ 10$, the average attendance is 29,000 . When the price dropped to 59 , the average attendance rose to 33,000 . Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue? Round to the nearest cent. \$ ____

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Some symptoms of dementia are progressive decreases in memory, thinking, and behavior. Which of the following are causes of dementia in older adults? Correct Answer(s) too much exercise prolonged cognitive challenges Alzheimer's disease Incorrect Answer(s) + + + excessive alcohol consumption strokes + +

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Multiple choice: NRF2 is a transcription factor that is required to induce anti-oxidant genes, such as glutathione-S-transferase genes, in response to reactive oxygen and reactive nitrogen species released by inflammatory cells in the airways following phagocytosis of inhaled particles. Mice deficient in Nrf2 were tested for their allergic airway response to inhaled allergens in comparison to wild-type controls. Compared to wild type mice, the Nrf2-/- mice would be expected to show: A. Reduced recruitment of eosinophils to the airway mucosa B. Enhanced production of IL-17 and IL-22 required to repair damaged epithelium C. Increased levels of IL-4 and IL-13 in the airway D. Increased numbers of CD4 Treg cells in the airway epithelium E. Reduced levels of allergen-specific IgE

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Evidence that visual input is routed from the ______ has been used to support the claim that some emotional reactions may occur without ______. ? hypothalamus to the pituitary gland; unconscious awareness ? right frontal lobe to the thalamus; conscious thinking ? left frontal lobe to the amygdala; unconscious awareness ? thalamus to the amygdala; conscious thinking

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Given are five observations for two variables, x and y. xi | 1 | 2 | 3 | 4 | 5 yi | 3 | 8 | 4 | 12 | 13

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Find a general solution to the differential equation.\\ $y''(\theta) + 25y(\theta) = \sec^3 5\theta$\\ The general solution is $y(\theta) = $

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Table 1 shows sales data for a company involves with the manufacturing of Product X. Analyze the given information to forecast sales for the month of July using the following methods: (i) 3-period simple moving average. (ii) 3-period weighted moving average using weightage value of 0.5, 0.3 and 0.2 (highest value for the most recent period). (iii) Simple exponential smoothing using $ \alpha = 0.2 $. Assume the forecast for month of April is 24. (iv) Linear trend method. $ m = \frac{n \sum xy - \sum x \sum y}{n \sum x^2 - (\sum x)^2} $ $ c = \frac{\sum y - m \sum x}{n} $ Table 1: Sales data for Product X January February March April May June 18 19 24 21 25 27

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Suppose an economy produces 500 units of output, the aggregate capital stock is 16, employment is 625, and the production function is $F(K, N) = K^{0.25}N^{0.75}$. a. What is total factor productivity in this case under the assumption that workers and capital are operating at 100% capacity? b. Now suppose that the economy is in a boom and workers in the economy are putting in 125% of the time working than they usually would, but the measure of employment remains the same. Given TFP from [a], how much output would be produced. c. What is the amount of mismeasurement in TFP from [c]. (Note: 2 points for each part. 1 point for the correct number, 1 point for showing your work.)

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Problem 7 Find $d^2y/dx^2$ as a function of $t$ if $x = t - t^2$ and $y = t - t^3$. 5 points Hint: you first have to calculate $dy/dx$ by the formula $dy/dx = (dy/dt)/(dx/dt)$.

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Submit test $A = \pi r^2$, where r is the radius, in centimeters. By approximately how much does the area of a circle decrease when the radius is decreased from 4.0 cm to 3.8 cm? (Use 3.14 for $\pi$.) A. 5.024 cm$^2$ B. 4874 cm$^2$ C. 2512 cm$^2$ D. 5.224 cm$^2$

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olga p.