Answer:
The correct answer if F
Step-by-step explanation:
Hope you have a great day or afternoon :D
Answer:
If we round it to the nearest tenth, our answer would be,
C≈ 17.2 (answer choice C)
Step-by-step explanation:
We will have to use the Pythagorean Theorem to solve this. Since we are not looking for the hypotenuse, but rather the length of one of the legs, we will have to use this,
Let's plug in the values,
Simplify,
Since we know that the opposite of a square is the square root, we are going to apply it.
This tells us that the length of the missing leg would be,
C ≈ 17.2336879396
Answer:
the answer is 8x^2+xy-15y^2
There are 60 Country CDs and 136 Rock CDs.
Rock and country CDs = 196
Country CD = x
Rock CD = x + 76
Country CD + Rock CD = 196
x + (x + 76) = 196
2x = 196 - 76
2x = 120
2x / 2 = 120 / 2
x = 60 * number of Country CD
Rock CD = x + 76 = 60 + 76 = 136
To check:
Country + Rock = 196
60 + 136 = 196
196 = 196
Answer:
9 hours
Step-by-step explanation:
According to Newton's laws of cooling
dT/dt = -k(T - A)
Let U = T - A
dU/dT = 1
dU = dT
dt/dt = -kU
dT = -kU(dt)
dU/U = -kdt
On integration
ln(U) = -kt + C
U = Ce^-kt
T - A = Ce^-kt
T(0) = 68
T(5) = 25
68 - 20 = Ce^-k(0)
C = 48
and
25 -20 = 48e^-k(5)
5 = 48e^-5k
e^-5k = 5/48
-5k = ln (5/48)
k = - ln(5/48) / 5
k = - 0.4524
T - 20 = 48e^-0.4524t
When T = 21
21 -20 = 48e^-0.4524t
1 = 48e^-0..4524t
e^-0.4524t = 1/48
-0.4524t = ln (1/48)
t = - ln(1/48) / 0.4524
t = 8.5570
t= 9 hours ( to the nearest hour)
