Answer:
The value of the y-coordinate is -706
Step-by-step explanation:
The equation of a straight line is;
y = mx + c
where m is slope and c is t-intercept
Given the slope, we can write the equation as;
y = -79x + c
we need to get c
Just put in the x and y values of the given point
X = -6 and y = 5
5 = -79(-6) + c
5 = 474 + c
c = 5-474 = -469
So the complete equation of the line would
be ;
y = -79x - 469
To get the y-coordinate of the point, just insert the x value into the equation;
y = -79(3) - 469
y = -237 - 469 = -706
Answer:
1/32
Step-by-step explanation:
This could be written as 
1/2 x 1/2 x 1/2 x 1/2 x 1/2
= 1/32, or 0.03125.
Answer:
The refrigerator was at around 13 ∘C
Step-by-step explanation:
Newton's Law of Cooling:
The rate of change of a body temperature (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

T ⇒ temperature
t ⇒ time
Tenv ⇒refrigerator temperature
⇒ rate of change of he temperature
-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)
We have 3 points:
time (minutes) - Temperature (∘ C)
0 (when the pan was put in the refrigerator) - 46
15 (after 15 minutes) - 27
30 (15 minutes after the first 15 minutes) - 19
= -h (27 - Tenv)
= -h (19 - Tenv)
Now we have a system of two equations and two variables


The refrigerator was at around 13 ∘C
Answer:
An hour and 30 minutes.
Step-by-step explanation:
In one hour, they travel 8 kilometers. They then have 4 kilometers left. 4 is half. of 8, so I would possibly take half the time it would to travel 8, making it 30 minutes for the other 4 kilometers.
Answer: 24 = 3 + P
Step-by-step explanation: 24 is 3 more than a number P can be represented in the equation form of 24 = 3 + P
To solve it:
3 + P = 24
3 - 3 + p = 24 -3
p = 21