Answer:
The time is 135 min.
Step-by-step explanation:
For this situation we are going to use Newton's Law of Cooling.
Newton’s Law of Cooling states that the rate of temperature of the body is proportional to the difference between the temperature of the body and that of the surrounding medium and is given by
where,
C = surrounding temp
= temp at any given time
t = time
= initial temp of the heated object
k = constant
From the information given we know that:
- Initial temp of the cake is 310 °F.
- The surrounding temp is 72 °F.
- After 30 minutes the cake's temperature is 220 °F.
We want to find the time, in minutes, since the cake's removal from the oven, at which its temperature will be 100°F.
To do this, first, we need to find the value of k.
Using the information given,
Next, we find the time at which the cake's temperature will be 100°F.
1 yard = 12 inches, so 9 yards would be 108 inches.
The <em>correct answer</em> is:
y less than or equal to 0
, or y ≤ 0.
Explanation:
The line drawn tells us what the equation will be that the inequality is formed from. Since the line is a horizontal line, this means it is of the form y=c, where c is some constant.
Since the horizontal line goes through the origin, (0, 0), this means the equation of the line is y=0.
Since the line drawn is solid, this means the inequality symbol will be either greater than or equal to, or less than or equal to. This is because the line is included in the solution set.
Since the graph is shaded below this line, this means our inequality is
y ≤ 0, or
y is less than or equal to 0.
If Myra has m stamps, then Rick has m-150.
Together, they have 500.
Therefore, m+m-150=500
2m-150=500
2m=650
m=325.
Therefore, Myra has 325 stamps, and Rick has 175 (325-150).
Hope this helps you:)
Step-by-step explanation:
x+2x+3x=180
6X=180
x=180/6
x=30
again
2 x=2×30
=60
3×=3×30
=90
