Answer:
He can make 3 and 2 over 15 bottles of honey with 3 over 8 pound of honey in each bottle.
Step-by-step explanation:
Given:
Sean got = 4/5 pound of honey from its hive
Mass in 1 bottle = 3/8 pound of honey in each bottle.
Calculation he made:
Number of bottle, n × mass = honey got
n = 4/5 ÷ 3/8
= 4/5 × 8/3
= 32/15 bottles from 3/8 pound honey in each bottle.
Answer:
arc = 15π
Step-by-step explanation:
The arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr × 
( r is the radius )
given diameter = 24 then r = 24 ÷ 2 = 12
arc = 2π × 12 × 
= 24π ×
= 3π × 5
= 15π
We will see that f'(x) > 0, which means that f(x) is an increasing function.
<h3>
How to prove that the function is increasing?</h3>
For any function f(x), if f'(x) > 0, then f(x) is increasing for any value of x.
Here we have the cubic function:
f(x) = x³ + 4x
If we differentiate this, we get:
f'(x) = df(x)/dx = 3x² + 4.
And notice that x² is always positive, then f'(x) > 0, which means that f(x) is an increasing function.
If you want to learn more about cubic functions:
brainly.com/question/20896994
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