You are hosting a dinner party tonight and you forget to put the soda bottle into the refrigerator so take a bottle of soda at room temperature which is 70°F and put it in the river refrigerator to cool hoping that it will be cold but a time your guest arrive the temperature in the refrigerator is 40°F in K equals 0.4 what will the temperature be in one hour two hours and three hours

T=R + (T0-R)e-kt so after 1 hour: T = 40°F + (70°F -40°F)e-0.4*1 = 60.11°F

After 2 hours: T = 40°F + (70°F -40°F)e-0.4*2 = 53.48°F

After 3 hours: T = 40°F + (70°F -40°F)e-0.4*3 = 49.04°F

Step-by-step explanation:

Pluto answer

i need points

step-by-step explanation:

sorry bubs

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form