The given function is:
P = 120 i / (i^2 + i + 9)
or
P = 120 i (i^2 + i + 9)^-1
<span>The maxima point is obtained by taking the 1st
derivative of the function then equating dP / di = 0:</span>
dP / di = 120 (i^2
+ i + 9)^-1 + (-1) 120 i (i^2 + i + 9)^-2 (2i + 1)
setting dP / di =0 and multiplying whole equation by (i^2
+ i + 9)^2:
0 = 120 (i^2 + i + 9) – 120i (2i + 1)
Dividing further by 120 will yield:
i^2 + i + 9 – 2i^2 – i = 0
-i^2 + 9 =0
i^2 = 9
<span>i = 3 (ANSWER)</span>
Therefore P is a maximum when i = 3
Checking:
P = 120 * 3 / (3^2 + 3 + 9)
P = 17.14
Answer: According to Moseley, similar properties recur periodically when elements are arranged according to increasing atomic number. Atomic numbers, NOT weights, determine the factor of chemical properties.
Mendeleev realized that the physical and chemical properties of elements were related to their atomic mass in a "periodic" way, and arranged them so that groups of elements with similar properties fell into vertical columns in his table
The force of gravity on the 1 kg box is 2 N.
The formula for the force of gravity <em>F</em> on an object with mass <em>m</em> is
<em>F</em> = (<em>GmM</em>)/<em>d</em>²
Since <em>G</em>, <em>M</em> , and <em>d</em> are the same for both objects, (<em>GM</em>)/<em>d</em>² = a constant = <em>k
</em>). Then, we can write
<em>F = km
</em>
<em>F</em>₂/<em>F</em>₁ = <em>m</em>₂/<em>m</em>₁
<em>F</em>₂ = <em>F</em>₁ × <em>m</em>₂/<em>m</em>₁
If the 2.5 kg box is object 1,
<em>F</em>₂= 6.1 N × (1 kg/2.5 kg) = 2 N
<em>Note</em>: The answer can have <em>only one significant figure</em> because that is all you gave for the mass of the 1 kg object.
Answer:
The answer is
Explanation:
Calcium chloride is created from the ionic bonds that form between calcium cations and chloride anions. Calcium ions have a charge of +2, while chloride ions have a charge of -1. Calcium chloride salts can also form crystals based on these same ionic properties.
Hope this helps.
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