Let x be the size of a house (sq ft) and y be the amount of natural gas used (therms) during a specified period. suppose that for a particular community, x and y are related according to the simple linear regression model with the following values.β = slope of population regression line = 0.014α = y-intercept of population regression line = -5(a) what is the equation of the population regression line? (b) what is the mean value of gas usage for houses with 2200 sq ft of space? (c) what is the average change in usage associated with a 1 square foot increase in size? (d) what is the average change in usage associated with a 100 square feet increase in size?

In the pendulum formula t=2pi. read the problem on the picture ! ; $; $; ! ; ! ; ! ; )$; ! ; ! ; ! ; $; $; $! ; ! ; ); $; $$

The center of a circle represent by the equation (x+9)^2+(y-6)^2=10^2 (-9,6), (-6,9), (6,-9) ,(9,-6)

Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =