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matrenka [14]
3 years ago
11

Under what operation are the set of integers closed? Explain your answer

Mathematics
2 answers:
aksik [14]3 years ago
6 0

Answer:

a set of integers is closed under addition, subtraction, and multiplication because when you add, subtract, or multiply any integers, the result is always an integer.

Step-by-step explanation:

torisob [31]3 years ago
3 0
The set of integers is closed under addition, subtraction, and multiplication because when i add, subtract, or multiply any integers, the result is always an integer.
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Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and t
Lilit [14]

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x 1.025^n, where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

6 0
2 years ago
Jamil pays $20.00 for dinner. He decides to leave a 15% tip on top. How much should he pay in total
Helga [31]

Answer:

$23.00

Step-by-step explanation:

The tip amount is $3.00, but the total is $23.00

6 0
3 years ago
Read 2 more answers
A patient ingests 5 grams of a certain drug which
IgorC [24]

Answer:

8 hours

Step-by-step explanation:

5 - 1 = 4 grams

10% of 5 = 0.5 grams per hour

4/0.5 = 8 hours

8 0
2 years ago
The length of a rectangle is 7 inches longer than it is wide. If the area is 20 square inches, what are the dimensions of the re
Arada [10]

Area of a rectangle is length x width.

Let the width = x

The length would be x +7. ( 7 inches longer than the width)

Area = 20

Set up the formula:

20 = x * x+7

Simplify the right side:

20 = x^2 + 7x

Subtract 29 from both sides:

X^2 + 7x -20 = 0

Solve using the quadratic equation

X = -b + sqrt(b^2 -4ac) / 2a

X = -7 + sqrt(7^2-4(1)(-20) / 2(1) (exact answer)

X = 2.178908 ( as a decimal)

The width is 2.178907 inches (round as needed)

The length would be 9.178907 inches ( round as needed.)

Depending on how you round, when you multiply them together you get approximately 20 square inches.

4 0
3 years ago
Read 2 more answers
Why the product (-6)(-3) is positive
rewona [7]

Answer:

18

hope this helps

have a good day :)

Step-by-step explanation:

7 0
3 years ago
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