Answer:
Step-by-step explanation:
Use the Pythagorean theorem a^2 + b^2 = c^2
In this case you are given a and c, so set the equation up like
2^2 + b^2 = 8^2
b^2 = 8^2 - 2^2
b =
b =
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)
Answer:
$112.50
Step-by-step explanation:
13.50 / 6 = 2.25; this is how much it cost per pound
2.25 * 50 = 112.50
Answer/Step-by-step explanation:
Given :
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
To Find: two types of transformations that can be used to transform f(x) to g(x).
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Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Solution Part A:
f(x) = x/5 + y/(-10) = 1
=> 2x - y = 10
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Part B: Solve for k in each type of transformation. (4 points)
Solution Part B:
g(x) = x/(-3) + y/6 = 1
=> 2x - y = - 6
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an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Solution Part C:
Transformations :
g(x) = f(x) + 16
g(x) = f(x + 8)
