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3 years ago

Number sequences 2, 12, 72, 432, 2592.... is it arithmetic, geometric, or neither?

1 answer:

6 0

It is geometric because it is increasing by a common factor. If you multiply the previous number by 6 you receive the next number. If it were arithmetic you would add the number, not multiply.

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You and your sister each want to sit in the front seat of your mom’s car. For each of the following, decide if the

olya-2409 [2.1K]

The correct answer is A. You flip a two-sided coin.

the fairest answer would be A. you flip a two-sided coin. a randomly generated number would not be fair, and your mom choosing would also not be fair, therefore the answer is You flip a two-sided coin.

good luck :)

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4 years ago

jeff's credit card charges an annual rate of 5% simple interest. The balance on his card is $300, and he makes interest-only pay

kirill115 [55]

Answer: 60

Step-by-step explanation:

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3 years ago

You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

$V = \pi r^2h\\$

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

$Radius = 6cm$

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3 years ago

What must be the value of x so that lines a and b are<br> parallel lines cut by transversal f?

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5 0

3 years ago

Can you use any two of the given data points in a scatter plot to write an equation for a trend line? Explain.

poizon [28]

Answer:

Use graph paper to create a scatter plot. Draw the x- and y- axes, ensure they intersect and label the origin. Ensure that the x- and y- axes also have correct titles. Next, plot each data point within the graph. Any trends between the plotted data sets should now be evident.

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3 years ago