Answer:
x = -8
Step-by-step explanation:
11x– 1 = -89
Add 1 to each side
11x– 1+1 = -89+1
11x = -88
Divide each side by 11
11x/11 = -88/11
x = -8
How many ounces in a pound is 16 ounces.
Answer:
The value of double derivative at x=4.834 is negative, therefore the trough have a maximum volume at x=4.834 inches.
Step-by-step explanation:
The dimensions of given metal strip are
Length = 160 inch
Width = 20 inch
Let the side bend x inch from each sides to make a open box.
Dimensions of the box are
Length = 160-2x inch
Breadth = 20-2x inch
Height = x inch
The volume of a cuboid is

Volume of box is



Differentiate with respect to x.

Equate V'(x)=0, to find the critical points.

Using quadratic formula,

The critical values are


Differentiate V'(x) with respect to x.

The value of double derivative at critical points are


Since the value of double derivative at x=4.834 is negative, therefore the trough have a maximum volume at x=4.834 inches.
Answer:
parameter
Step-by-step explanation:
The strongest linear relationship of correlation coefficient is a -1 or 1.
According to the statement
we have given that the cases and the out of these we have to ensure that which case show the correlation coefficients is indicative of the strongest relationship between the two variables
So, For this purpose
The relationship of correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of two variables.
And according to the given cases
The strongest linear relationship is indicated by a correlation coefficient of -1 or 1.
The weakest linear relationship is indicated by a correlation coefficient equal to 0. A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.
So, The strongest linear relationship of correlation coefficient is a -1 or 1.
Learn more about relationship of correlation coefficient here brainly.com/question/4219149
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