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Gemiola [76]
2 years ago
10

Put these in order starting with the smallest.

Mathematics
2 answers:
elena-s [515]2 years ago
8 0

Answer:

{27}^{ \frac{1}{3} }  <    {125} ^{ \frac{2}{3} }  <  {9}^{ \frac{3}{2} }

Step-by-step explanation:

{9}^{ \frac{3}{2} }  =  \sqrt[2]{ {9}^{3} }  =  \sqrt[2]{ {3}^{6} }  =  { 3}^{3}  \\  {27}^{ \frac{1}{3} }  =  \sqrt[3]{27}  =  \sqrt[ 3]{ {3}^{3} }  = 3 \\  {9}^{ \frac{3}{2} }   > {27}^{ \frac{1}{ 3} }  \\  \\  {125}^{ \frac{2}{3} }  =  \sqrt[3]{ {125}^{2} }  =  \sqrt[3]{ {5}^{6} }  = 25 \\  \\ 3 < 25  <  {3}^{3}  \\  {27}^{ \frac{1}{3} }  <    {125} ^{ \frac{2}{3} }  <  {9}^{ \frac{3}{2} }

Alexxandr [17]2 years ago
7 0

Answer:

Step-by-step explanation:

9^{\frac{3}{2} } = ( √9 )³ = 27

27^{\frac{1}{3} } = ∛27 = 3

125^{\frac{2}{3} } = ( ∛125 )² = 25

27^{\frac{1}{3} } , 125^{\frac{2}{3} } , 9^{\frac{3}{2} }

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goldenfox [79]

Answer: $10.00 + 4.50r

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7 0
2 years ago
H(n)=3n-4 find h(-6)
mrs_skeptik [129]

Answer:

h(-6) = -22

Step-by-step explanation:

h(n) = 3n - 4

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4 0
3 years ago
Can I get some help? <br><br> Please show your work! <br><br> Thanks!
kirill [66]
Hey there,

Your question states: You have a 332 feet fencing to enclose a rectangular region. What is the maximum area.

Your correct answer would be 6,889.

Reason/explanation: 

The formula that we would use is P = 2l+2w

f(x)=ax^{2} +b*x+c

L=166=-W\\  L=83
_____________________________________________________________

So by this, now that we know that L=83

We do . . . 83 × 83. . . 

And you final answer would be Option A.) 6,889

Hope this helps you!

~Jurgen

6 0
3 years ago
Read 2 more answers
The area of a rectangular window is 6525cm2. If the length of the window is 87cm, what is its width?
nataly862011 [7]

Answer:

width= 75 cm

Step-by-step explanation:

We need to recall the formula to calculate the area of a rectangle, since we are dealing with a rectangular window:

Area of rectangle = width * length

therefore, since they give us the window's area: 6525 cm^2, and also the window's length: 87 cm, we just need to replace those values in the area formula and solve for the unknown "width". We do such by dividing both sides of the equation by 87 cm in order to isolate the unknown on one side of the equal sign;

6525cm^2 =87cm*width\\\frac{6525cm^2}{87cm} =width\\width=75cm

6 0
3 years ago
How do the signs of factors affect their products
evablogger [386]

Answer:

If a negative number is multiplied with a positive number, it will be negative. If two positive numbers are multiplied, it will be positive. If two negative numbers are multiplied, it will also be positive.

Step-by-step explanation:

3 0
3 years ago
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