Answer:
y - intercept = 2.25
Step-by-step explanation:
y = mx + c
Where,
y = Total cost
x = additional cost
m = slope
c = y - intercept
y = 0.25x + 2.25
Relating with the above equation,
y - intercept = 2.25
Slope, m = 0.25
The smallest region that can be photographed is
5*7 = 35 square km
so we want to know how long it takes to zoom out to an area of
35 * 5 = 175 square km.
Notice that the length and width increase at the same rate, 2 km/sec, and they start out with a difference of two, so when the width has increased from 5 to x, the length will have increased from 7 to x+2. At the desired coverage area, then,
x(x+2) = 175
x^2 + 2x = 175
x^2 + 2x + 1 = 176 [completing the square]
(x+1)^2 = 176
x+1 = ±4√11
x = -1 ±4√11
Since a negative value for x is meaningless here, x must be
-1 + 4√11 = about 12.27 km
and the time it took to increast to that value was
(12.27 - 5) km / (2 km/sec) = about 3.63 seconds
The temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C
From Newton's law of cooling, we have that
Where
From the question,
∴ 
Therefore, the equation becomes
Also, from the question
After 1 hour, the temperature of the ice-cream base has decreased to 58°C.
That is,
At time 
, 
Then, we can write that
Then, we get
Now, solve for 
First collect like terms
Then,
Now, take the natural log of both sides
This is the value of the constant
Now, for the temperature of the ice cream 2 hours after it was placed in the freezer, that is, at 
From
Then
Hence, the temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C
Learn more here: brainly.com/question/11689670
Each side has own formula, so which side is X
