Answer:
T = 47.1875°C
Step-by-step explanation:
Given:
Surrounding temp, Ts = 100°C
Initial Temperature ,T0= 20°C
Increase in temperature = 15°C
Final temperature, T = 20 + 15 = 35°C
Time, t = 9 seconds
Let's take Newton's law of cooling:

We'll solve for k

Divide both sides by -5


Let's now find the temperature of the ball after 18 seconds in boiling water.
Use the Newton's equation again:




T = 47.1875°C
Temperature of the ball after 18 seconds in boiling water is 47.1875°C
Answer:
y=2x-4
Step-by-step explanation:
If a line is parallel to another line, the only thing that's different in the equation is the y-intercept. Therefore we can solve for the y-intercept using the point (4,4)...
Note that the slope-intercept equation is y=mx+b where b is the y-intercept and m is the slope. x and y are the x and y coordinate pairs.
y=2x+b
4=2(4)+b
4=8+b
b=-4
Therefore the equation of the line that is parallel to y=2x+4 and passes through (4,4) is...
y=2x-4
Answer:
p(z<0.42) = 0.6628
Step-by-step explanation:
A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution. That is to say:
μ = 0
σ² = 1
Using a calculator, we find that:
p(z<0.42) = 0.6628 (See picture attached)