Answer:
56
Step-by-step explanation:
16 x 3 = 48
Half of 16 is 8
48 + 8 = 56
Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
Answer:
w = 2, EF = 30 , FG = 42
Explanation:
We have EF = 5w + 20 and FG = 7w + 28
Since these points E, F and G are col-linear points we have.
EG = EF + FG
And given that EG = 72
So, EF+EG = 72
5w + 20 + 7w + 28 = 72
12w + 48 = 72
12 w = 24
w = 2
So EF = 5w + 20 = 5x2 + 20 = 30
FG = 7w + 28 = 7x2 + 28 = 42
That’s a tricky stem and leaf plot, Anw as the key shows 11|6 =16
So the most common arm span is 12 the least commons are 11,17,19,22 which appear only one time. So I’d say there are no outliers
Answer:
13
Step-by-step explanation:
Use the Pythagorean theorem:
- a^2 + b^2 = c^2
- 5^2 + 12^2 = c^2
- 25 + 144 = c^2
- c^2 = 169
- 13
Note: This also happens to be a Pythagorean triple where all three numbers are integers. These can be memorized.
