Answer:
area = 8.2 sq inch
Step-by-step explanation:
Answer:
Let's try to find a linear relation like:
T(h) = a*h + b
where a is the slope and b is the y-intercept.
h is the number of hours after midnight.
T is the temperature at the time defined by h.
We know that at midnight, the temperature is 12.8°F.
At midnight, we have h = 0, then:
T(0) = a*0 + b = 12.8°F
b = 12.8°F
Now we know that our function is:
T(h) = a*h + 12.8°F
We also know that the temperature fell 1.4 °F each hour for six hours.
Then the slope will be -1.4°F
We can write the linear relationship as:
T(h) = -1.4°F*h + 12.8°F (for 0 ≤ h ≤ 6)
Where we have a restriction in the possible values of h, because we know that this model only works for six hours after midnight,
Step-by-step explanation:
Blue is for physics........
Answer:C. Easy
Step-by-step explanation:
Answer:
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Step-by-step explanation:
Let us represent:
The number of liters of 25% acid solution = x
The number of liters of 40% acid solution = y
Our system of Equations =
x + y = 240 liters....... Equation 1
x = 240 - y
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.
25% × x + 40% × y = 240 liters × 30%
0.25x+ 0.4y = 72...... Equation 2
We substitute 240 - y for x in Equation 2
0.25(240 - y)+ 0.4y = 72
60 - 0.25y + 0.4y = 72
Collect like terms
- 0.25y + 0.4y = 72 - 60
0.15y = 12
y = 12/0.15
y = 80 Liters
Solving for x
x = 240 - y
x = 240 liters - 80 Liters
x = 160 liters
Therefore,
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
