Blake operates a hot air balloon business. The relationship between the height of the hot air balloon and the time spent to reach that height is given by the function H(t) = 100t where t is the number of minutes. Additionally, the relationship between the height of the hot air balloon and the atmospheric pressure, inHg, being applied to the balloon is given by the function P(H) = 29.9 − 0.5H 500 . Which function can be used to determine the pressure on the hot air balloon based on the time it spends rising in height? A) t(P(H)) B) t(H(P)) C) H(P(t)) D) P(H(t))

The graph represents the gallons of water in a water tank with respect to the number of hours since it was completely filled

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)) =

Twenty points. suppose that one doll house uses the 1 inch scale, meaning that 1 inch on the doll house corresponds to 1/2 foot for life-sized objects. if the doll house is 108 inches wide, what is the width of the full-sized house that it's modeled after? in inches and feet