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tangare [24]
3 years ago
14

The area of a square is decreasing at a rate of 43 square inches per second. At the time when the side length of the square is 7

, what is the rate of change of the perimeter of the square? Round your answer to three decimal places (if necessary).
Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Answer:

26.230 Inches per second.

Step-by-step explanation:

Since, Area of square is decreasing at the rate of 43 square inches per second And area is directly proportional to square of the side , So

Its side will be decreasing at the rate of \sqrt{43} inches per second .

Now,

Perimeter of square is directly proportional to 4 times of the side of the square.

so Perimeter of square will be decreasing at the rate of 4× \sqrt{43}

After rounding off to three decimal places we will get 26.230 Inches per second.

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astraxan [27]

On a supply and demand graph you would see that the supply would meet the demand at the central point creating a secure system.  However, this could change for the better or worse, compared to how "popular" the item is in the market.

8 0
2 years ago
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Which sequence of transformations produces R’S’T’ from RST?
inn [45]

Answer:

A translation 2 units right and then a reflection over the x-axis

Step-by-step explanation:

The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)

The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)

The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST

A translation of ΔRST 2 units right gives;

(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;

(2, 0), (0, 3), and (-1, 1)

A reflection of the point (x, y) across the x-axis gives (x, -y)

A reflection of the above points across the x-axis gives;

(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1)  reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'

Therefore, the sequence of transformations that produces R'S'T' from RST are;

A translation 2 units right and then a reflection over the x-axis

6 0
3 years ago
Given that (5,-8) is on the graph of f(x), find the corresponding point for the function f(x+2)
galben [10]
We know that
the transformation
f(x)--------> f(x+2)
that means
A point (x,y) in graph of f(x)------> become a point (x-2, y) in graph of f(x+2)

hence
point (5,-8)-------------> become a point (5-2,-8)-----> (3,-8)

the answer is
the point (3,-8)
5 0
3 years ago
christa buys an alarm clock for 45% the store increases the purchase price of the clock by 150%? what is the new sales price of
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New price = old price + 150 of old price = 45 + (150/100 X45)= 45 + 67.5 = 107.5
3 0
3 years ago
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Pleaaasseee help!!! BRAINLIEST FOR CORRECT ANSWER!! What is the transformation rule for a translation 3 units right?
garri49 [273]

Answer:

Rule: replace x by x - a where a is the number of units that you want to move right. a must be greater than 0. x - - a  would move left.

Step-by-step explanation:

You want f(x) to move 3 units to the right.

That would mean that  x would be replaced by x - 3.  Just to be sure let's try it.

  • Suppose you have f(x) = x^2 + 6x + 5       It is graphed as the red line
  • Now suppose you want to move 3 units right.
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  • Notice nothing else is changed. The blue line looks exactly like the red line except that it is shifted 3 units to the right.

4 0
2 years ago
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