DT/dt=k(T-38)
ln(T-38) = kt+C
T=38 + Ce^(-kt)
Since T(0)=75, 75 = 38+C, so C=37
Since T(30)=60, 60 = 38+37e^(-30k), so k = -ln(22/37)/30 ~= -0.017329
T(60) = 38+37e^(-0.017329*60) = 51.1°F

4 0

3 years ago

Can yall help answer this asap

Trava [24]

Answer: B

(press thanks please) i need it lol. . . . . . . . . . . . . . .

8 0

3 years ago

I need the answer for the Linear equation of the below graph

stellarik [79]

Answer:

y = - $\frac{3}{4}$ x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = $\frac{0-3}{4-0}$ = - $\frac{3}{4}$

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - $\frac{3}{4}$ x + 3 ← equation of line

4 0

3 years ago

a number y is 15 larger than a positive number x. if their sum is not more than 85, what are the possible values of y?

Harrizon [31]

Answer:

y = x + 15 –(1)

x + y = 85

Putting (1)'s value,

x + x + 15 = 85

2x + 15 = 85

2x = 85 - 15 = 70

x = 70/2 = 35

4 0

2 years ago