Answer:
2.55° C
Step-by-step explanation:
T=4500/x
x= 1200 m ⇒ T= 4500/1200= 3.75° C
x= 3750 m ⇒ T= 4500/3750= 1.2° C
The difference in temperature= 3.75 - 1.2= 2.55° C
7/8 divided by 1/4 (or 2/8) = 3 1/8
The value of the square root function after differentiation is .
The given equation is :
x³√4y = 5
Now we will use implicit differentiation
In mathematics, the derivative of a simple function that resembles a real variable measures how sensitive the function's value (or output value) is to changes in the underlying assumption (input value). The derivative is the fundamental tool in calculus.
The value of y from the equation is :
y = 25/4 x⁻³
now if we differentiate this function we get the same result.
y'=3/x
Hence we can see that the value of both the solution are equal.
A measure of how quickly an object's position changes over time is its velocity, which is the derivative of that object's point with regard to time.
Hence the required solution of the differentiation is
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Answer:
The length of BE is 5.5 units.(A correct option)
Step-by-step explanation:
Given diameter AC intersects chord BD at point E such that AE = 2.5 units and DE = 3.4 units. Point O is the center of the circle, and the radius of the circle is 5 units. we have to find the approximate length of BE.
CE=CO+OE=5+(OA-AE)=5+2.5=7.5 units.
Now, by Intersecting Chord Theorem which states that when two chords intersect each other inside a circle then the products of their segments are equal.
⇒
⇒
⇒
Hence, the length of BE is 5.5 units.
The coordinates represent the numbers of plants of each type she can use and minimize the cost
Let x be the number of plants of one type.
y be the number of plants of the other type.
<h3>What is the meaning of the
vertex of the
feasible region?</h3>
The optimal solutions will occur at one or more of the extreme points this is the vertices of the feasible region.
We have, The vertex of the feasible region that results in the minimum value of the cost function is (5,39).
That means buying 5 of one type of plant and 39 of the other type of plant results in the lowest cost.
Thus the coordinates represent the numbers of plants of each type she can use and minimize the cost.
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