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valkas [14]
4 years ago
7

The predicted cost c (in hundreds of thousands of dollars) for a company to remove p% of a chemical from its waste water is show

n in the table. a model for the data is given below. use the model to find the average cost for removing between 50% and 55% of the chemical. (round your answer to two decimal places.) c = 124p (10 + p)(100 – p) , 0 ≤ p < 100 average cost ≈ hundred thousand dollars

Mathematics
1 answer:
alukav5142 [94]4 years ago
8 0
We presume your cost function is
  c(p) = 124p/((10 +p)(100 -p))

This can be rewritten as
  c(p) = (124/11)*(10/(100 -p) -1/(10 +p))

The average value of this function over the interval [50, 55] is given by the integral
  \frac{1}{55-50} \times \frac{-124}{11} \int\limits^{55}_{50} {(\frac{1}{x+10}+\frac{10}{x-100})} \, dx
This evaluates to
  (-124/55)*(ln(65/60)+10ln(45/50)) ≈ 2.19494

The average cost of removal of 50-55% of pollutants is about
  $2.19 hundred thousand = $219,000

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pickupchik [31]

Answer:

14.04 miles per hour

Step-by-step explanation:

The problem is asking for Izumi's speed. The formula of speed is:

  • s = \frac{d}{t} , where "s" means speed, "d" means distance and "t" means time.

The problem is also asking for the unit<u> miles per hou</u>r (\frac{miles}{hour}) so, this means that we have to know how many miles Izumi ran, given that the problem only mentioned<u> yards (110 yards).</u>

Let's convert 110 yards to miles, provided that he Izumi ran 1,760 yards in a mile.

  • 110 yards ÷ 1760 \frac{yards}{mile} = 0.0625 miles (this is the distance covered by Izumi in miles)

Let's go back again to the formula: s = \frac{d}{t}

s = \frac{0.0625 miles}{16 seconds} = 0.0039 \frac{miles}{sec}

Since, the we arrived at a miles per second unit, we have to convert it to miles per hour.

So, if a minute has 60 seconds, then an hour has 3,600 seconds.

Thus, 0.0039 \frac{miles}{sec} × 3,600 \frac{seconds}{hour} = 14.04 miles per hour (the answer)

3 0
3 years ago
Use the coordinate grid to determine the coordinates of point A;
ser-zykov [4K]
A (1 1/4, -3/4)

answer is B. second choice
5 0
3 years ago
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Absolute Bagels makes bagels using two different recipes, one recipe for regular bagels
shutvik [7]

Answer:

At its most basic, traditional bagel dough contains wheat flour (without germ or bran), salt, water, and yeast leavening. Bread flour or other high gluten flours are preferred to create the firm, dense but spongy bagel shape and chewy texture.

Step-by-step explanation:

A bagel (Yiddish: בײגל, romanized: beygl; Polish: bajgiel; also historically spelled beigel)[1] is a bread product originating in the Jewish communities of Poland. It is traditionally shaped by hand into the form of a ring from yeasted wheat dough, roughly hand-sized, that is first boiled for a short time in water and then baked. The result is a dense, chewy, doughy interior with a browned and sometimes crisp exterior. Bagels are often topped with seeds baked on the outer crust, with the traditional ones being poppy and sesame seeds. Some may have salt sprinkled on their surface, and there are different dough types, such as whole-grain and rye.

The earliest known mention of a boiled-then-baked ring-shaped bread can be found in a 13th-century Arabic cookbook, where they are referred to as ka'ak.[4] Today, bagels are widely associated with Ashkenazi Jews from the 17th century; it was first mentioned in 1610 in Jewish community ordinances in Kraków, Poland.Bagel-like bread known as obwarzanek was common earlier in Poland as seen in royal family accounts from 1394.

Bagels are now a popular bread product in North America and Poland, especially in cities with a large Jewish population, many with alternative ways of making them. Bagels are also sold (fresh or frozen, often in many flavors) in supermarkets.

The basic roll-with-a-hole design is hundreds of years old and has other practical advantages besides providing more even cooking and baking of the dough: The hole could be used to thread string or dowels through groups of bagels, allowing easier handling and transportation and more appealing seller displays.

8 0
2 years ago
There are 60 new houses being built in a neighborhood. Last month 1/3 of them were sold. This month 1/5 of the remaining houses
tatuchka [14]

Answer:

4

Step-by-step explanation:

8 0
3 years ago
Please answer!!! Will mark brainliest answer !!!
kenny6666 [7]

Answer:

A, D

Step-by-step explanation:

When we multiply the fractions, we can get:

\frac{1}{5^{4} }

This is also equivalent to:

5^{-4}

When looking at the answer choices, the only ones that equal 5^{-4} are A and D because:

(5^{-2})^{2}  =5^{-4}

5^{2}*5^{-6} = 5^{-4}

3 0
3 years ago
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