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2 years ago

Find the common ratio for the geometric sequence defined by the formula: an=40(2–√)n−1

Mathematics

1 answer:

Maksim231197 [3]2 years ago

3 0

Answer:

b is the answer in your questions

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50 Points What is the value of r? 6.4r−5.9r=−3.25 Question 1 options: A -6.5 B 6.5 C -3

Oliga [24]

Answer:

Option A. -6.5

Step-by-step explanation:

we have

$6.4r-5.9r=-3.25$

Solve for r

That means ---> isolate the variable r

Combine like terns left side of the equation

$0.5r=-3.25$

Divide by 0.5 both sides

$0.5r/0.5=-3.25/0.5$

$r=-6.5$

4 0

3 years ago

To solve the equation 12x = –72, you ?

IgorLugansk [536]

12x=-72 //:12

12x:12=-72:12

x=-6

6 0

3 years ago

Confused? Please, Help?

uysha [10]

Domain={-4,3} range={2,3}

8 0

2 years ago

If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in

Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume ( $V$ ), in cubic centimeters, and surface area ( $A_{s}$ ), in square centimeters, of the box with a square base are described below:

$A_{s} = l^{2}+h\cdot l$ (1)

$V = l^{2}\cdot h$ (2)

Where:

$l$ - Side length of the base, in centimeters.

$h$ - Height of the box, in centimeters.

By (2), we clear $h$ within the formula:

$h = \frac{V}{l^{2}}$

And we apply in (1) and simplify the resulting expression:

$A_{s} = l^{2}+ \frac{V}{l}$

$A_{s}\cdot l = l^{3}+V$

$V = A_{s}\cdot l -l^{3}$ (3)

Then, we find the first and second derivatives of this expression:

$V' = A_{s}-3\cdot l^{2}$ (4)

$V'' = -6\cdot l$ (5)

If $V' = 0$ and $A_{s} = 30000\,cm^{2}$ , then we find the critical value of the side length of the base is:

$30000-3\cdot l^{2} = 0$

$3\cdot l^{2} = 30000$

$l = 100\,cm$

Then, we evaluate this result in the expression of the second derivative:

$V'' = -600$

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

$V = 30000\cdot l - l^{3}$

$V = 2000000\,cm^{3}$

The largest possible volume of the box is 2000000 cubic meters.

4 0

2 years ago

if you are told only that you scored 80th percentile do you know from the description exactly how it wad calculated? Explain

Dmitriy789 [7]

<span>We know that there is no universal acceptance meaning of a percentile. When someone told you that you are in the 80th percentile, the meaning of that is you have achieved the lowest score that is greater than 80 percent of the score. It is calculated by using the formula <span>R = P/100 x (N + 1)</span></span>

3 0

3 years ago