1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Daniel [21]
2 years ago
7

Which of the following expressions can be used to show 5^3/2 is equivalent to radical 5^3

Mathematics
1 answer:
Nataly_w [17]2 years ago
5 0

Answer:

Option (4) is correct.

Step-by-step explanation:

We need to show that 5^{3/2} is equivalent to radical \sqrt{5^3}.

We can do it as follows :

\sqrt{5^3} =(5^3)^{\dfrac{1}{2}}\\\\=5^{\dfrac{3}{2}}

Hence, the correct option is (4).

You might be interested in
PPLEASE HELP!!!!! WHAT IS THE INITIAL VALUE MEAN FOR THIS GRAPH/FUNCTION
Rudiy27
Amount saved:50I60I70l80l   AND ON......
......weeks......:0..I1...l2..l3..l                          ..........AND ON 
amount saved =x
weeks=y
after every y+10=x
6 0
3 years ago
x2 + y2 − 4x + 12y − 20 = 0 (x − 6)2 + (y − 4)2 = 56 x2 + y2 + 6x − 8y − 10 = 0 (x − 2)2 + (y + 6)2 = 60 3x2 + 3y2 + 12x + 18y −
snow_tiger [21]
For this case, what we must do is fill squares in all the expressions until we find the correct result.
 We have then:
 
 x2 + y2 − 4x + 12y − 20 = 0 x2 + y2  − 4x + 12y = 20
 x2  − 4x + y2 + 12y = 20
 x2  − 4x + (12/2)^2 + y2 + 12y  + (-4/2)^2 = 20 + (12/2)^2 + (-4/2)^2
 x2  − 4x + (6)^2 + y2 + 12y  + (-2)^2 = 20 + (6)^2 + (-2)^2
 x2  − 4x + 36 + y2 + 12y  + 4 = 20 + 36 + 4
 (x − 2)2 + (y + 6)2 = 60 

 
3x2 + 3y2 + 12x + 18y − 15 = 0 
 
x2 + y2 + 4x + 6y − 5 = 0 
 x2 + y2 + 4x + 6y  = 5 
 x2  + 4x + (4/2)^2 + y2 + 6y + (6/2)^2 = 5 + (4/2)^2 + (6/2)^2 
 x2  + 4x + (2)^2 + y2 + 6y + (3)^2 = 5 + (2)^2 + (3)^2 
 x2  + 4x + 4 + y2 + 6y + 9 = 5 + 4 + 9 
 (x + 2)2 + (y + 3)2 = 18 

 2x2 + 2y2 − 24x − 16y − 8 = 0
 x2 + y2 − 12x − 8y − 4 = 0
 x2 + y2 − 12x − 8y = 4 
 x2 − 12x + (-12/2)^2 + y2 − 8y + (-8/2)^2 = 4 + (-12/2)^2 + (-8/2)^2
 x2 − 12x + (-6)^2 + y2 − 8y + (-4)^2 = 4 + (-6)^2 + (-4)^2
 x2 − 12x + 36 + y2 − 8y + 16 = 4 + 36 + 16
 (x − 6)2 + (y − 4)2 = 56 

 x2 + y2 + 2x − 12y − 9 = 0
 x2 + y2  + 2x - 12y = 9
 x2  + 2x + y2 - 12y = 9
 x2  + 2x + (2/2)^2 + y2 - 12y  + (-12/2)^2 = 9 + (2/2)^2 + (-12/2)^2
 x2  + 2x + (1)^2 + y2 - 12y  + (-6)^2 = 9 + (1)^2 + (-6)^2
 x2  + 2x + 1 + y2 - 12y  + 36 = 9 + 1 + 36
 (x + 1)2 + (y − 6)2 = 46
7 0
3 years ago
Are these triangles congruent ?
Vadim26 [7]

Answer:no

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Kitty [74]

Answer:   (-2, 5) and (2, -3)

<u>Step-by-step explanation:</u>

Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:

        y - intercept = (0, 1)            2nd point = ( -1, 1).

Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):

y = x^2-2x-3\quad \rightarrow \quad a=1,\ b=-2,\ c=-3\\\\\text{axis of symmetry:}\ x = \dfrac{-b}{2a}\ \longrightarrow \ x=\dfrac{-(-2)}{2(1)}=\dfrac{2}{2}=1\\\\\text{y-value of vertex:}\ f(1) = (1)^2-2(1)-3\quad \longrightarrow \quad y = 1 - 2 - 3=-4\\\\\text{y-intercept:}\ f(0)= (0)^2-2(0)-3\ \longrightarrow \ y=0 - 0 - 3 = -3 \\

         vertex = (1, -4)                2nd point (y-intercept) = (0, -3)


<em>see attached</em> - the graphs intersect at two points:  (-2, 5) and (2, -3)


8 0
3 years ago
To build a road, a company charges a flat fee plus a fee that varies depending on the number of kilometers of road built. The co
Goshia [24]

I dont remember that one sorry

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate 6t - 20-32u when t = 6 and u = 1/5
    14·2 answers
  • The marginal cost for printing a paperback book at a small publishing company is
    9·1 answer
  • Estimate . Then record the product 42*6
    14·1 answer
  • What is the Markdown price for this shirt?
    7·2 answers
  • A lab technician needs 60mL of 25% acid solution for a certain experiment , but he has only 10% solution and 40% solution. How m
    8·1 answer
  • I need the answer now please
    6·1 answer
  • Help<br><br><br> A , B, C , D ?<br><br><br> See the picture <br><br> Please help
    12·2 answers
  • Complete the function table.<br> Input (n) | Output (n + 5)<br> -2<br> 4<br> 2
    13·1 answer
  • Suppose that f(x)=x2 and g(x) =4/5x2. Which statement best compares the graph of f(x)?
    11·1 answer
  • Find the value of x in the triangle.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!