A Warming Liquid - A liquid is taken out of a refrigerator and placed in a warmer room, where its temperature, in F, increases over time. It can be modeled using the equation Tm 74 390.87m. (a) What temperature did the liquid start at? Show the work that leads to your answer. (b) What is the temperature of the room?

The temperature at the start is 35F

The temperature of the room is 74F

Step-by-step explanation:

Given

Solving (a): The temperature at the start.

To do this, we set:

So, we have:

Hence, the temperature at the start is 35F

Solving (b): The room temperature

We have:

To get the temperature of the room, we simply remove the exponential function.

So, we have:

Hence, the temperature of the room is 74F

take it another

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)