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aksik [14]
1 year ago
5

In your lab, a substance's temperature has been observed to follow the function T()- (x- 2)3 +8. The turning point of the graph

is where the substance changes from asolid to a liquid. Using complete sentences in your written answer, explain to yourfellow scientists how to find the turning point of this function. Hint: The turningpoint of the graph is similar to the vertex of a quadratic function. (10 points)
Mathematics
1 answer:
Vlad1618 [11]1 year ago
6 0

We have the function:

T(x)=(x-2)^3+8

A turning point happens when the function reaches a maximum or a minimum.

In that points the value of the first derivative of the function is equal to 0.

So we can find the turning points by finding the first derivative and equal to zero:

undefined

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in parallelogram ABCD, AC is diagonal, the measure <ABC is 40°, and the measure of <ACD IS 57°. what is the measure of &lt
Nutka1998 [239]

Answer: \angle CAD = 83^\circ Option D


Step-by-step explanation:

In this question we use properties of parallelogram and angle sum property of a triangle.

In parallelogram ABCD


\angle ABC=40^\circ


As, we know that opposite angles of parallelogram are equal


Therefore,


\angle ABC =\angle ADC =40^\circ


Now, in triangle ADC

We know that sum of all the angles of a triangle is =180^\circ


\angle ACD +\angle ADC +\angle DAC =180^\circ


57^\circ +40^\circ +\angle DAC =180^\circ


97^\circ + \angle DAC = 180^\circ

Subtracting 97 from both sides we get


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Measure of \angle CAD = 83^\circ


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Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 22, 18, 1
BigorU [14]

Answer:

a:  Sample mean: 20, Sample standard deviation: 1.732

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c:  18.84< µ < 21.16

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We need to create a 80% confidence interval for the population.  Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.  

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See the third attached photo for the construction of the confidence interval

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