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riadik2000 [5.3K]
2 years ago
9

Steven has a small business that provides computer application training and data entry support services. He earns $25 per hour f

or training and $15 per hour for data entry support. Steven can work no more than 40 hours a week. He wants to use linear programming techniques to optimize his income.
Mathematics
1 answer:
zlopas [31]2 years ago
5 0

Answer:

Step-by-step explanation:

You might be interested in
#2
natta225 [31]
The eye eleven who be over frantic because of ghosts lived people would die
3 0
3 years ago
Is 3.734795.... a rational or irrational number? and why
Marina CMI [18]

Answer:

Let's look at what makes a number rational or irrational ...

Rational Numbers

A Rational Number can be written as a Ratio of two integers (ie a simple fraction).

Example: 1.5 is rational, because it can be written as the ratio 3/2

Example: 7 is rational, because it can be written as the ratio 7/1

Example 0.333... (3 repeating) is also rational, because it can be written as the ratio 1/3

 

Irrational Numbers

But some numbers cannot be written as a ratio of two integers ...

...they are called Irrational Numbers.

Example: π (Pi) is a famous irrational number.

Pi

π = 3.1415926535897932384626433832795... (and more)

We cannot write down a simple fraction that equals Pi.

The popular approximation of 22/7 = 3.1428571428571... is close but not accurate.

Another clue is that the decimal goes on forever without repeating.

Cannot Be Written as a Fraction

It is irrational because it cannot be written as a ratio (or fraction),

not because it is crazy!

So we can tell if it is Rational or Irrational by trying to write the number as a simple fraction.

Example: 9.5 can be written as a simple fraction like this:

9.5 =  

19

2

 

So it is a rational number (and so is not irrational)

Here are some more examples:

Number   As a Fraction   Rational or

Irrational?

1.75    

7

4

   Rational

.001    

1

1000

   Rational

√2

(square root of 2)   ?   Irrational !

Square Root of 2

Let's look at the square root of 2 more closely.

square root 2 When we draw a square of size "1",

what is the distance across the diagonal?

The answer is the square root of 2, which is 1.4142135623730950...(etc)

But it is not a number like 3, or five-thirds, or anything like that ...

... in fact we cannot write the square root of 2 using a ratio of two numbers

... I explain why on the Is It Irrational? page,

... and so we know it is an irrational number

Famous Irrational Numbers

Pi    

Pi is a famous irrational number. People have calculated Pi to over a quadrillion decimal places and still there is no pattern. The first few digits look like this:

3.1415926535897932384626433832795 (and more ...)

e (eulers number)    

The number e (Euler's Number) is another famous irrational number. People have also calculated e to lots of decimal places without any pattern showing. The first few digits look like this:

2.7182818284590452353602874713527 (and more ...)

phi    

The Golden Ratio is an irrational number. The first few digits look like this:

1.61803398874989484820... (and more ...)

radical symbol    

Many square roots, cube roots, etc are also irrational numbers. Examples:

√3 1.7320508075688772935274463415059 (etc)

√99 9.9498743710661995473447982100121 (etc)

But √4 = 2 (rational), and √9 = 3 (rational) ...

... so not all roots are irrational.

pls, branliest :)

7 0
2 years ago
Who can help me please
lakkis [162]
The dimensions of the bottom of the drawer are:
20 cm × 40 cm

So the area is : 800 cm² (rectangular shaped)

The area formula of a circle is:
\pir²
The diameter of the plate is 20cm
so the radius is half the diameter which is 10cm
Apply the given to the formula:
\pi(10)²
100\pi
314.16 cm²

2 plates in the bottom drawer
Area of two plates:
2 × 314.16
628.32 cm²

Area of the non-covered space in the bottom drawer:
Area of drawer - area of two plates
800 - 628.32
171.68 cm²
7 0
3 years ago
The diameter of the handle of a softball is 3/4 Inches. What is the length of the diameter of 8 of these bat handle
USPshnik [31]
It is 6 inches if you have 8 3/4 segments lined up togehter


5 0
3 years ago
What is the first step to verify that the following identity is true?
umka2103 [35]

Step-by-step explanation:

this right ans according to your question

8 0
2 years ago
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