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Vaselesa [24]
2 years ago
13

A fuel is purified by passing it through a clay pipe. Each foot of the clay pipe removes a fixed percentage of impurities in the

fuel. Let f(x) represent the amount of pollutants, in tons, left in the fuel after it had passed through x feet of the clay pipe.
f(x) = 10(0.8)x

What does the number 0.8 represent?
Mathematics
1 answer:
creativ13 [48]2 years ago
8 0
The amount of pollutants.
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Gus has a fish tank that holds 471047104710 inches^3 3 cubed of water. He is using a cylinder shaped bucket with a radius of 555
ozzi

Answer:

Gus will need to fill up the cylindrical bucket three times to be able to use it to fill up the tank

Step-by-step explanation:

Extracting the key information from the question:-

*** A fish tank has a capacity or volume of 4710 inches^3

*** The owner of the tank uses a cylindrical shaped bucket to fill the tank

*** The radius of the bucket being used to fill the tank is 5 inches and its height is 20 inches

*** We are only required to calculate how many times Gus will need to fill the bucket in order to completely fill the fish tank.

Since the container that the owner of the fish tank is using to fill the fish tank is cylindrical, we will need the formula for calculating the volume of a cylinder in order to determine the volume of this bucket that is being used to fill the fish tank.

Volume of a cylinder = π × r^2 × h. From the question, we were informed that the radius of the cylindrical bucket is 5 inches and the height of this bucket is 20 inches.

The volume of the bucket is = 3.14 × 5^2 × 20 = 1570 inches^3

Again, we were told that the fish tank that Gus was using cylindrical bucket to fill up has a volume of 4710 inches^3. In order to determine the number of filled buckets that will be able to fill the fish tank, we will then divide the volume of the tank by the volume of the cylindrical bucket:

4710/1570 = 3 full buckets.

Therefore, Gus will need to fill the bucket three times in order to be able to fill up the fish tank.

7 0
2 years ago
3 values that would make this inequality true. 28+ x > 42
Mumz [18]
24, 36, 42 these aare answers that you can add to 28 that will give you something bigger then 42
4 0
2 years ago
Twelve people each have a standard deck of cards. Each person shuffles the deck and draws two cards (without replacement). Anyon
Arada [10]

Answer:

The number of people, of the twelve, who will win a prize is 5.

Step-by-step explanation:

In a standard deck of cards there are 52 cards.

The 52 cards are divided into 4 suits: Hearts, Diamonds, Spades and Clubs, each of 13 cards.

Each of the 12 people draws 2 cards from their standard deck of cards.

Compute the probability of selecting at least 1 diamond as follows:

P (At least 1 diamond) = 1 - P (No diamond)

                                    =1-\frac{{39\choose 2}}{{52\choose 2}} \\=1-\frac{741}{1326}\\ =1-0.5588\\=0.4412

The probability of selecting at least 1 diamond is 0.4412.

If a person draws at least 1 diamond he wins a prize.

The expected number of people who will win the prize is:

E (Wins a prize) = n × P (At least 1 diamond)

                          =12\times0.4412\\=5.2944\\\approx5

Thus, the number of people of the twelve who will win a prize is 5.

3 0
2 years ago
The dot plot represents the amount of rain recorded by rain gauges in different locations around a city. A number line going fro
adell [148]

Answer:

16

Step-by-step explanation:

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2 years ago
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Find the image of Z(1,1) after two reflections, first across line L1, and then across line L2. L1: x=2, L2: y-axis
dimulka [17.4K]
After a reflection across line L1, x = 2, the afterimage is
Z' (2 + (2-1) ,1) = Z' (3, 1)
After a reflection across the line L2, y-axis, the afterimage is
Z'' (3, 0 + (0 - 1) = Z'' (3, -1)<span />
3 0
2 years ago
Read 2 more answers
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