Answer:
it will take t= 12.64 seconds
Step-by-step explanation:
the voltage drop rate dV/dt will be
dV/dt=-k*V
then
∫dV/V=∫-kdt
ln(V/V₀)= -k*t
V=V₀*e^(-k*t)
in order for the voltage to drop 10 percent of its original value , then
(V₀-V)/V₀= 0.1 (10%)
[V₀- V₀*e^(-k*t) ] / V₀ = 0.1
1 - e^(-k*t) = 0.1
e^(-k*t) = 0.9
t = (- ln 0.9)/k = 120* (- ln 0.9) = 12.64 seconds
t= 12.64 seconds
Answer:PA = 6.6 units
XP = 2.4 units
Explanation:1- We are given that:perimeter of RXA = 24 units
RX = 4
RA = 11
This means that:
XA = 24 - 4 - 11 = 9 units
2- For XA:XA = XP + PA
XA = 9 units
This means that :
XP + PA = 9 units
XP = 9 - PA
3- Triangle angle bisector theorem:"In a triangle, the angle bisector divides the opposite side into two segments that are proportional to the other two sides"
Applying this to the given triangle, we can set the ratio as follows:We have:
XP = 9 - PA
RX = 4
RA = 11
4- Substitute with the givens in the above ratio and solve for PA as follows:11(9-PA) = 4(PA)
99 - 11PA = 4PA
99 = 15PA
PA = 99/15
PA = 6.6 units
5- Substitute to get XP as follows:XP = 9 - PA
XP = 9 - 6.6
XP = 2.4 units
Hope this helps :)
You need to combine -5x and 5x together and that would give you zero so you need to combine 2y and -8y which would give you -6y so the answer is C. -6y