Answer:
12870 ways
Step-by-step explanation:
10c2*13c3
10!/(10-2)!2! *13!/(13-3)!3!
[(10*9*8!)/8!*2*1] *[(13*12*11*10!)/10!*3*2*1]
45*286
12870 ways
Newton's law of cooling is
k (t₁ - t₂) = -ln (T₁ - T∞ / T₂ - T<span>∞)
Use the two data points in the given to find k.
t = 0, T = 154
t = 10, T = 133
Solution:
k(0 - 10) = - ln (154 - 71/ 133 - 71)
-10k = -0.291716
k = 0.02917 or 0.0292
So now find t when T = 100
0.2917 * ( 0 - t) = -ln (154 - 71 / 100 -71)
- 0.02917t = - 1.0515
t = 36. 05 minutes
to the nearest minute t = 36</span>
On the right hand side it should be m(x-x1)
Y-4=-3(x-5)
Y=-3x+19
Answer:
Alternate interior angles theorem
Hope this helps
- Que
Answer:

Step-by-step explanation:
Your equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Your line has a slope of 7. In order to find the line perpendicular to this line, we have to take the opposite reciprocal of the slope. The perpendicular slope to m = 7 is m = -1/7. Now we go through x = -5 and y = 6 to find the new equation.
6 = -1/7(-5) + b gives us
6 = 5/7 + b and
b = 37/7
Therefore, the equation of the line perpendicular to your original line is
