This is what I got for the inequality
3.65 is less than 
First, you must change the mixed number into a decimal so you can compare the two numbers.
Then, you must compare the terms.
3.65 < 3.75
3.65 is less than
Step-by-step explanation:
1. The midpoint formula says the coordinates of the midpoint are the average of the endpoints.
x = (x₁ + x₂) / 2
y = (y₁ + y₂) / 2
I'll do #2 and #3 as examples.
2. x = (-4 + 10) / 2 = 3
y = (6 + -10) / 2 = -2
So the midpoint is (3, -2).
3. x = (-3 + -6.5) / 2 = -4.75
y = (-8 + -4.5) / 2 = -6.25
So the midpoint is (-4.75, -6.25).
---<span>
y(t) = a*e^(kt)</span><span>
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now:</span><span>
130 mg</span><span>
---
one hour from intake:</span><span>
130 * (1 - 0.11) = 115.7 mg</span><span>
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y(1) = 115.7 = 130*e^(k(1))</span><span>
115.7 = 130*e^k</span><span>
115.7/130 = e^k</span><span>
ln( 115.7/130 ) = ln( e^k )</span><span>
ln( 115.7/130 ) = k</span><span>
k = -0.1165338
</span><span>---
three hours from intake:</span><span>
y(3) = 130*e^(3k)</span><span>
y(3) = 91.64597</span><span>
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answer:</span><span>
three hours after drinking a cup of coffee, 91.6 mg of caffeine will remain in the body
</span>
Answer:
Infinity
Step-by-step explanation:
Since x,y,z are positive rel numbers, we have that
Hence,
Now let
if we take x=y=1, we have
and so f(1,1,z) tends to infinity as z goes to 0.
