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Alex73 [517]
3 years ago
13

What is the recursive formula for this geometric sequence? -4,-24,-144,-864

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0

Answer:

A.

Step-by-step explanation:

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Jim walks 2 miles in an hour. It takes him 3 hrs to walk 6 miles.
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Answer:

He would walk 10 miles in 5 hours, and it would take him 2 hours to walk 4 miles.

Step-by-step explanation:

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The Snyder family uses up a 1 2 -gallon jug of milk every 3 days. At what rate do they drink milk?
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Answer: 4 gallons per day

Step-by-step explanation:

From the question, we are informed that the Snyder family uses up a 12 -gallon jug of milk every 3 days.

The rate at which they drink milk will be gotten by dividing the gallons of milk they drink by the number of days. This will be:

= 12/3

= 4 gallons per day

Therefore, the rate they use in taking milk is 4 gallons per day.

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Give the rule for the translation if the coordinates of the preimage are A(2,-4) B(5,-4) C(5,-2) D(4,-2) E(4,-1) F(3,-1) G(3,-2)
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  (x, y) ⇒ (x -7, y)

Step-by-step explanation:

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Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 162 square feet
Gnom [1K]

Answer:

The width and length of rectangle is 12.728 m

Step-by-step explanation:

Let the length of the rectangle = L

let the width of the rectangle = W

The subjective function is given by;

F(p) = 2(L + W)

F = 2L + 2W

Area of the rectangle is given by;

A = LW

LW = 162 ft²

L = 162 / W

Substitute in the value of L into subjective function;

f = 2l + 2w\\\\f = 2(\frac{162}{w} )+2w\\\\f = \frac{324}{w} + 2w\\\\\frac{df}{dw} = \frac{-324}{w^2} +2\\\\

Take the second derivative of the function, to check if it will given a minimum perimeter

\frac{d^2f}{dw^2}= \frac{648}{w^3} \\\\Thus, \frac{d^2f}{dw^2}>0, \ since,\frac{648}{w^3} >0 \ (minimum \ function \ verified)

Determine the critical points of the first derivative;

df/dw = 0

\frac{-324}{w^2} +2 = 0\\\\-324 + 2w^2=0\\\\2w^2 = 324\\\\w^2 = \frac{324}{2} \\\\w^2 = 162\\\\w= \sqrt{162}\\\\w = 12.728 \ m

L = 162 / 12.728

L = 12.728 m

Therefore, the width and length of rectangle is 12.728 m

3 0
2 years ago
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