Answer:
x(to the 3rd power) +7x(to the 2nd power) − 27x − 6
Step-by-step explanation
Answer:
37.5
Step-by-step explanation:
3 ÷ 8 = 0.375
0.375 × 100 = 37.5
Answer:4) 1. (3^4)^3=3^12 ,
2.(-10^3)^6=-10^18 others are similar...
5) 1. (2^7/2^5)=2^2,4 ,
2.(a^7/a^3)=a^4 ,
7. [(-4)^3 x (-4)^5)]/[ (-4)^2 x(-4)^3]=4^3 others are similar...
Step-by-step explanation: 4)1. step1. 3^(4x3) , 2. step1. -10^(3x6)
step2. 3^12 , step2. -10^18
5)1. step1. 2^(7-5) , 2. step1. a^(7-3)
step2. 2^(2) , step2. a^(4)
7. step1. -4^(3+5)/-4^(2+3)
step2. -4^(8)/-4^(5)
step3. 4^(8-5)
step4. 4^(3)
Answer:
x = 12
Step-by-step explanation:
These are vertical angles, and vertical angles are equal
7x = 8x-12
7x -8x = -12
-x = -12
x = 12
Newton's law of cooling states that under forced convection (which is assumed to be true), then
dT(t)/dt = -k(T(t)-Ta)..............(1)
T(t)=temperature
Ta=ambient temperature=40F
k=cooling constant = 0.1947
T(0)=98.6F (assuming victim did not have fever)
Integrate (1)
T(t)-Ta=(T(t)-T(0))e^(-kt)
Solve for t
(T(t)-Ta)/(T(t)-T(0)) = e^(-kt)
take log:
-kt=log_e((T(t)-Ta)/(T(t)-T(0)))
substitute T(t)=80F, Ta=40F,T(0)=98.6F
-kt=log_e((80-40)/(98.6-40))=-0.38186
t=0.38186/0.1947
=1.96, or almost 2 hours (assuming k=0.1947 is in hours)
