Answer:
Step-by-step explanation:
Given that rectangle has side length 23x13 feet.
When squares of side x are cut from all the four sides we have dimensions as
23-2x and 13-2x and height x
Volume 
Use derivative test
First derivative V'(x) 
Equate I derivative to 0
We get approximate value of x = 2.671, 9.329
Since width is 13 feet it cannot be 9.329
Hence x = 2.671
V"(x) = -80 <0
So maximum volume is
Answer:
60
Step-by-step explanation:
Since Jim sold 1/3 of his stamps on Monday, the remainder would be 2/3 of his total stamps.
<em>Divide 360 stamps by 3. Minus the stamps</em><em> </em><em>sold on Monday from 36</em><em>0</em><em> </em><em>to</em><em> </em><em>get</em><em> </em><em>the</em><em> </em><em>remainder</em><em>.</em>
stamps sold on Monday = 360 ÷ 3 = 120
remainder = 360 - 120 = 240
He sold 1/4 of the remainder on Tuesday.
<em>Divide the remainder by 4.</em>
stamps sold on Tuesday = 240 ÷ 4 = 60
<em>He sold 60 stamps on Tuesday</em><em>.</em>
These numbers are called power of ten. A power
of ten is 10 multiplied by itself the exponent number of times. For example:
We can write 10 as 10¹
100 as 10²
1000 as 10³
<span>The exponent is equal to the number of zeros in
the number like 100 has 2 zeros so the exponent is 2 and write it as 10</span>²
The probability of failure per time interval can we admit for a single switch is 25%.
The probability formula is described as the opportunity of an occasion to show up is equal to the ratio of the number of beneficial results and the total variety of consequences. probability of occasion to manifest P(E) = quantity of beneficial consequences/overall quantity of effects.
The chance of an event can be calculated by means of chance formulation by means of without a doubt dividing the favorable range of consequences through the whole range of possible effects.
Probability offers facts approximately the chance that something will appear. Meteorologists, as an example, use climate styles to predict the probability of rain. In epidemiology, the chance principle is used to recognize the relationship between exposures and the danger of health results.
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Answer and Explanation:
To prove : The square of any even number is always a multiple of 4.
Proof :
The even numbers is defined as number end with 0,2,4,6,8 or the even number are multiple of 2.
Let the general even number be '2n'.
Squaring the number 
As 4 is the multiple of n².
So, If we square any even number it is always a multiple of 4.
For example,
Hence proved.
