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Stella [2.4K]
3 years ago
6

What do you do to check whether a number is rational or irrational? In your explanation, use an example of an irrational and rat

ional number.
Can someone check my answer, please? I would deeply appreciate it.

"Rational numbers are numbers that can be written in fraction form. The numbers are all integers. Irrational numbers are numbers that cannot be written as a fraction. They are non-repeating and nonterminating decimals. For example 6.12385546972578945213666479952145412639854845256987452874526874125874........ Is an irrational number. And 1/6, 2,9, and 3/4 are all rational numbers."
Mathematics
1 answer:
nordsb [41]3 years ago
4 0
You have a good response. The only critique I can think of is to reduce the size of that massive decimal number. It doesn't have to be huge as long as it's a random string of digits. For example, e = 2.71828182846... is irrational since it has no pattern in the decimal portion. The decimal portion also goes on forever. 
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The base of the prism in the diagram is rectangular, but the edges that are not parallel to the base titled. What is the volume
joja [24]
The answer is
the volume of the prism is 648\ cm^{3}
4 0
4 years ago
Over the summer Mr.Patel refilled a bird feeder 24 time using 6 cups of seeds each time.A bag of seeds holds 32 cups. How many b
nalin [4]

Answer:

The equation representing the problem is x=\frac{24\times 6}{32}.

Mr. Patel used 5 bags of seeds.

Step-by-step explanation:

Given:

Number of times bird feeder refilled =24

Number of cups of seeds used each time = 6 cups

Number of seeds each bag holds = 32 cups.

We need to write the equation to represent the problem.

Solution.

Let the total number of bag of seed be 'x'.

First we will find the Total number of cups of seeds used.

Now we can say that;

Total number of cups of seeds used can be calculated by multiplying Number of times bird feeder refilled by Number of cups of seeds used each time.

framing in equation form we get;

Total number of cups of seeds used = 24\times6 \ cups

Now We know that;

1 bag holds = 32 cups

Total number of bags required = 24\times6 \ cups

So we can say that;

Total number of bags required is equal to Total number of cups of seeds used divided by number of seed hold by each bag.

framing in equation form we get;

x=\frac{24\times 6}{32}

Hence the equation representing the problem is x=\frac{24\times 6}{32}.

On solving we get;

x=4.5

Since bags cannot be bought in half or in decimal value.

Hence we can say Mr. Patel used 5 bags of seeds.

7 0
3 years ago
The measure of the quality of a person's life based on income and the type and quantity of goods available to him or her is
denis-greek [22]

Answer:

Standard of Living

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Is it true that the integral LaTeX: \int x^2e^{2x}dx ∫ x 2 e 2 x d x can be evaluated using integration by parts? If so, state t
Marysya12 [62]

Answer:

Yes the integral can be evaluated by integration by parts as solved below.

Step-by-step explanation:

\int x^{2}e^{2x}dx

Taking algebraic function as first function and exponential function as second function we have

\int x^{2}e^{2x}dx=x^{2}\int e^{2x}dx-\int (x^{2})'\int e^{2x}dx\\\\=x^{2}\frac{e^{2x}}{2}-\int 2x\times \frac{e^{2x}}{2}dx\\\\\frac{x^{2}e^{2x}}{2}-\int xe^{2x}dx\\\\Now\\\\\int xe^{2x}dx=x\int e^{2x}dx-\int 1\cdot \int e^{2x}dx\\\\=\frac{xe^{2x}}{2}-\int \frac{e^{2x}}{2}dx\\\\\frac{xe^{2x}}{2}-\frac{e^{2x}}{4}\\\\\therefore \int x^{2}e^{2x}dx=\frac{x^{2}e^{2x}}{2}-\frac{xe^{2x}}{2}+\frac{e^{2x}}{4}

5 0
3 years ago
How to find solutions to Discriminat
Wittaler [7]

Answer:

The discriminant is the expression b2 - 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. Based upon the sign of the expression, you can determine how many real number solutions the quadratic equation has. If you get a positive number, the quadratic will have two unique solutions

Step-by-step explanation:

hope it help

6 0
3 years ago
Read 2 more answers
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