The required estimation of 11 4/5 divided by 3 1/5 is 4.61.
Given that,
To determine the estimation of 11 4/5 divided by 3 1/5.
<h3>What is arithmetic?</h3>
In mathematics, it deals with numbers of operations according to the statements.
In the given question we have given, 2 mixed fractions we have to determine the simplified fraction by dividing one from the other, as stated in the question.
Simplification,
11 + 4 / 5 = 59 / 4
3 + 1 / 5 = 16 / 5
11 4/5 divided by 3 1/5 estimation,
= ( 59/4 ) / (16 / 5)
= 59 * 5 / 4 * 16
= 4.61
Thus, the required estimation of 11 4/5 divided by 3 1/5 is 4.61.
Learn more about arithmetic here:
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Answer:
B creates a smaller copy of A. I tink
Step-by-step explanation:
If I'm wrong sorry
If you know your derivative rules, then
d/d<em>x</em> [1/<em>x</em>] = -1/<em>x</em> ²
so that when <em>x</em> = 6, the derivative has a value of -1/36.
If you have to use the definition of the derivative, then
d/d<em>x</em> [1/<em>x</em>] = lim {<em>h</em> → 0} (1/(<em>x</em> + <em>h</em>) - 1/<em>x</em>) / <em>h</em>
… = lim {<em>h</em> → 0} (<em>x</em> - (<em>x</em> + <em>h</em>)) / (<em>hx</em> (<em>x</em> + <em>h</em>))
… = lim {<em>h</em> → 0} (-<em>h</em>) / (<em>hx</em> (<em>x</em> + <em>h</em>))
… = lim {<em>h</em> → 0} (-1) / (<em>x</em> (<em>x</em> + <em>h</em>))
… = -1/<em>x</em> ²
and at <em>x</em> = 6, you again get -1/36.
Alternatively, use the definition of the derivative at a point:
d/d<em>x</em> [1/<em>x</em>] (6) = lim {<em>x</em> → 6} (1/<em>x</em> - 1/6) / (<em>x</em> - 6)
… = lim {<em>x</em> → 6} ((6 - <em>x</em>) / (6<em>x</em>)) / (<em>x</em> - 6)
… = lim {<em>x</em> → 6} -(<em>x</em> - 6) / (6<em>x</em> (<em>x</em> - 6))
… = lim {<em>x</em> → 6} (-1) / (6<em>x</em>)
… = -1/36
1/5x < = 30
x < = 30 * 5
x < = 150
