Answer: You need to wait at least 6.4 hours to eat the ribs.
t ≥ 6.4 hours.
Step-by-step explanation:
The initial temperature is 40°F, and it increases by 25% each hour.
This means that during hour 0 the temperature is 40° F
after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:
T = 40° F + 0.25*40° F = 1.25*40° F
after another hour we have another increase of 25%, the temperature now is:
T = (1.25*40° F) + 0.25*(1.25*40° F) = (40° F)*(1.25)^2
Now, we can model the temperature at the hour h as:
T(h) = (40°f)*1.25^h
now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.
So we have:
(40°f)*1.25^h = 165° F
1.25^h = 165/40 = 4.125
h = ln(4.125)/ln(1.25) = 6.4 hours.
then the inequality is:
t ≥ 6.4 hours.
Answer:
16
Step-by-step explanation:
Substitute s = - 3 into the expression
7 - 3(- 3) = 7 + 9 = 16
Answer: the area of the triangle = 10.5 cm²
Step-by-step explanation:
Let 3x=a, 4x=b, 5x=c.
Hence,
P=2*(a+b+c)
36=2*(3x+4x+5x)
36=2*12x
36=24x
Divide both parts of the equation by 24:
1.5 cm=x
a=3x
a=3*1.5
a=4.5 cm
b=4x
b=4*1.5
b=6 cm
c=5x
c=5*1.5
c=7.5 cm
Answer:
y = 
x + 1
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 1)
m = 
=
Note the line crosses the y- axis at (0, 1) ⇒ c = 1
y = x + 1 ← equation of line
Answer:
2(n+2x-6)
Step-by-step explanation:
n x 2+4x-4-8
