A tree is 212 feet tall. How tall will it be in 3 years if it grows 14 foot each year?

A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma

Gnoma [55]

Answer:

The value is $C \approx \$76$

Step-by-step explanation:

From the question we are told that

The area of the rectangular pen is $A = 24 \ yard^2$

The cost of material used to make one side is $z = \$ 6$

The cost of material used to make the other sides is $r = \$ 3$

Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

$C = zx + r (x + 2y )$

=> $C = 6x + 3(x + 2y)$

=> $C = 9x + 6y$

Now the area of the fence is mathematically represented as

$A = x* y = 24$

=> $y = \frac{24}{x}$

=> $C = 9x + 6[\frac{24}{x} ]$

=> $C = 9x + [\frac{144}{x} ]$

Now differentiating

$C' = 9 + 144* (-2) x^{-2}$

$C' = 9 - 288x^{-2}$

At minimum $C' = 0$

So

$9 - 288x^{-2} = 0$

$x^{-2} = 0.03125$

$x = \sqrt{\frac{1}{0.03125} }$

$x = 5.66$

Now substituting for x in the equation above to obtain minimum cost

$C = 9(5.66) + [\frac{144}{5.66} ]$

$C \approx \$76$

8 0

3 years ago

Bryan cuts a piece of cardboard in the shape of a trapezoid.the area of the cutout is 43.5 square centimeters.if the bases are 6

Nimfa-mama [501]

<span>trapezoid area = ((sum of the bases) ÷ 2) • height
height = </span>trapezoid area / ((sum of the bases) ÷ 2)
height = 43.5 / ((6 + 8.5) / 2)
height = 43.5 / ((14.5) / 2)
height = 43.5 / (7.5)
height = 6 centimeters

Source:
http://www.1728.org/quadtrap.htm

4 0

3 years ago

The table and graph show that each banana at a market costs $0.27. Cost of Bananas Bananas (x) Cost in dollars (y) 1 0.27 2 0.54

Scrat [10]

Answer:

It Is D

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

1.) What is a qualitative prediction? * and 2.) What is a quantitative prediction? * THERE IS A PIC THAT COME WITH QUESTION PLEA

frozen [14]

I believe a qualitative prediction requires a prediction with out any numerical data to support it while a quantitative predictions require a prediction supported by numerical data.

A real world example of this is in chemistry during a lab. qualitative data is based off of observation with out numerical data such as a color change. quantitative data is based off of observation with numerical data such as the mass changes.

(quantitative prediction is decision from data based on percentages, probabilities, and so on while qualitative predictions are based off of given information).
I hope this helps and let me know if you need further explaining.

3 0

4 years ago

Find the answer to zero point 73 repeating times square root of 147 end square root and select the correct answer below. Also, i

liubo4ka [24]

Answer:

$\frac{511\,\,\sqrt{3} }{99}$ which is an irrational number

Step-by-step explanation:

Recall that the repeating decimal 0.7373737373... can be written in fraction form as: $\frac{73}{99}$

Now, let's write the number 147 which is inside the square root in factor form to find if it has some perfect square factors:

$147=7^2\,3$

Then, 7 will be able to go outside the root when we compute the final product requested:

$\frac{73}{99} \,*\,7\,\sqrt{3} =\frac{511\,\,\sqrt{3} }{99}$

This is an irrational number due to the fact that it is the product of a rational number (quotient between 511 and 99) times the irrational number $\sqrt{3}$

5 0

3 years ago