10. In markets, what is the signal that allocates goods and

Which set of numbers is correctly ordered from greatest to least?

shepuryov [24]

Answer:

Step-by-step explanation:

Here is the corrected question and options:

Option 1:

$7\frac{1}{3} , \frac{221}{30} , 7.36, 3.16\sqrt{2e}$

Option 2:

$7\frac{1}{3} , 7.36 , \frac{221}{30} , 3.16\sqrt{2e}$

Option 3:

$3.16\sqrt{2e}, 7.36 , \frac{221}{30} , 7\frac{1}{3}$

Option 4:

$3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}$

Solution:

Lets write each of the above given numbers in a simplified form:

$7\frac{1}{3}$

Simplify this by converting it into a decimal form:

This becomes:

(3*7+1) / 3 = (21 + 1) / 3 = 22/3 = 7.333333

So

$7\frac{1}{3}$ = 7.3

$\frac{221}{30}$

Simplify this by converting it into a decimal form:

This becomes:

221/30 = 7.3666666667

So,

$\frac{221}{30}$ = 7.367

$7.36$

This number comes with a bar sign on .36 which means that the number has a non terminating repeating decimal expansion as 7.3636363636...

So after rounding it off this becomes:

7.36

$3.16\sqrt{2e}$

Simplify this by converting it into a decimal form:

The value of e = 2.718

This becomes:

3.16 $\sqrt{2*2.718}$

= 3.16 (√5.436)

= 3.16 * 2.331523

= 7.3679949818

= 7.368

So

$3.16\sqrt{2e}$ = 7.368

7.367995

Now we get the numbers in decimal form:

$7\frac{1}{3}$ = 7.333333 = 7.3

$\frac{221}{30}$ = 7.3666666667 = 7.367

7.36 = 7.3636363636

$3.16\sqrt{2e}$ = 7.3679949818 = 7.368

Now lets order the numbers from greatest to least:

$3.16\sqrt{2e}$

$\frac{221}{30}$

7.36

$7\frac{1}{3}$

So the correct option is:

Option 4

$3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}$

7 0

2 years ago

What is 1/10 into a fraction <br>

Katyanochek1 [597]

You just put it in a fraction 1/10

4 0

2 years ago

A patio uses 42 square meters of tile to cover the floor. The width of the patio is 6 meters. What is the length of the patio

MrMuchimi

Answer:

7

Step-by-step explanation:

42 meters divided by 6 meters = 7 meters

4 0

2 years ago

How do you illustrate<br>quadratic equation<br>in one variable?

soldi70 [24.7K]

Step-by-step explanation:

Quadratic Equation

Quadratic equation is in the form

ax2+bx+c=0

Where

a, b, & c = real-number constants

a & b = numerical coefficient or simply coefficients

a = coefficient of x2

b = coefficient of x

c = constant term or simply constant

a cannot be equal to zero while either b or c can be zero

Examples of Quadratic Equation

Some quadratic equation may not look like the one above. The general appearance of quadratic equation is a second degree curve so that the degree power of one variable is twice of another variable. Below are examples of equations that can be considered as quadratic.

1. 3x2+2x−8=0

2. x2−9=0

3. 2x2+5x=0

4. sin2θ−2sinθ−1=0

5. x−5x−−√+6=0

6. 10x1/3+x1/6−2=0

7. 2lnx−−−√−5lnx−−−√4−7=0

For us to see that the above examples can be treated as quadratic equation, we take example no. 6 above, 10x1/3 + x1/6 - 2 = 0. Let x1/6 = z, thus, x1/3 = z2. The equation can now be written in the form 10z2 + z - 2 = 0, which shows clearly to be quadratic equation.

Roots of a Quadratic Equation

The equation ax2 + bx + c = 0 can be factored into the form

(x−x1)(x−x2)=0

Where x1 and x2 are the roots of ax2 + bx + c = 0.

Quadratic Formula

For the quadratic equation ax2 + bx + c = 0,

x=−b±b2−4ac−−−−−−−√2a

See the derivation of quadratic formula here.

The quantity b2 - 4ac inside the radical is called discriminat.

• If b2 - 4ac = 0, the roots are real and equal.

• If b2 - 4ac > 0, the roots are real and unequal.

• If b2 - 4ac < 0, the roots are imaginary.

Sum and Product of Roots

If the roots of the quadratic equation ax2 + bx + c

= 0 are x1 and x2, then

Sum of roots

x1+x2=−ba

Product of roots

x1x2=ca

You may see the derivation of formulas for sum and product of roots here.

4 0

3 years ago

Solve the right triangle : A=22°, c=8

coldgirl [10]

hope it helps you!!!!!!!!!!!!

8 0

3 years ago