Answer:
25 coolers are need to be produce and sell in order to minimize the cost.
Explanation:
..[1]
Differentiating the given expression with respect to dx.


Putting ,


x = 25
Taking second derivative of expression [1]

(minima)
25 coolers are need to be produce and sell in order to minimize the cost.
Answer:
, zirconium-103.
Explanation:
In a nuclear reaction, both the mass number and atomic number will conserve.
Let
represent the unknown particle.
The mass number of a particle is the number on the upper-left corner. The atomic number of a particle is the number on its lower-left corner under the mass number. For example, for the particle
,
is the mass number while
while
is the atomic number.
Sum of mass numbers on the left-hand side of the equation:
.
Note that there are three neutrons on the right-hand side of the equation. Sum of mass numbers on the right-hand side:
.
Mass number conserves. As a result,
.
Solve this equation for
:
.
Among the five choices, the only particle with a mass number of 103 is
. Make sure that atomic number also conserves.
Answer:

Explanation:
<u>1. Convert Molecules to Moles</u>
First, we must convert molecules to moles using Avogadro's Number: 6.022*10²³. This tells us the number of particles in 1 mole of a substance. In this case, the particles are molecules of sodium hydroxide.

Multiply by the given number of molecules.

Flip the fraction so the molecules cancel out.




<u>2. Convert Moles to Grams</u>
Next, we convert moles to grams using the molar mass.
We must calculate the molar mass using the values on the Periodic Table. Look up each individual element.
- Na: 22.9897693 g/mol
- O: 15.999 g/mol
- H: 1.008 g/mol
Since the formula has no subscripts, we can simply add the molar masses.
- NaOH: 22.9897693+15.999+1.008=39.9967693 g/mol
Use this as a ratio.

Multiply by the number of moles we calculated.

The moles of sodium hydroxide cancel.



The original measurement of molecules has 3 significant figures, so our answer must have the same. For the number we calculated, that is the thousandth place. The 0 tells us to leave the 7 in the hundredth place.

1.20*10²² molecules of sodium hydroxide is approximately 0.797 grams.
increase the force needed to move the object
Explanation:
If a machine decreases the distance an object moves, it must also increase the force need to move the object.
A machine is a device that is used to do work with a little energy input.
Work done = force x distance
We see that to do more work, a lot of force must be applied to move a body through a greater distance.
If the distance is reduced;
Distance = 
More force must be applied to measure up for the distance and make the machine more efficient.
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Yes, it would. For a while. But then, as is human nature, we would long for socialization with other humans. But I do understand where you’re coming from.