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
Umnica [9.8K]
3 years ago
11

Which value of x makes the numerical sentence true 25^1/2 x 5^-3=5x

Mathematics
1 answer:
Anit [1.1K]3 years ago
4 0
25^{\frac{1}{2}} \times 5^{-3} = 5^x

(5^2)^{\frac{1}{2}} \times 5^{-3} = 5^x

5^1 \times 5^{-3} = 5^x

5^{1 - 3} = 5^x

5^{-2} = 5^x

x = -2
You might be interested in
Raul can read 12 pages in half an hour​
zepelin [54]

Answer:

that's good12 pages=1hour 6 pages= 30 min

7 0
3 years ago
Expand:<br><img src="https://tex.z-dn.net/?f=f%28z%29%20%3D%20%20%5Cfrac%7B1%7D%7Bz%28z%20-%202%29%7D%20" id="TexFormula1" title
Monica [59]

Expand f(z) into partial fractions:

\dfrac1{z(z-2)} = \dfrac12 \left(\dfrac1{z-2} - \dfrac1z\right)

Recall that for |z| < 1, we have the power series

\displaystyle \frac1{1-z} = \sum_{n=0}^\infty z^n

Then for |z| > 2, or |1/(z/2)| = |2/z| < 1, we have

\displaystyle \frac1{z-2} = \frac1z \frac1{1 - \frac2z} = \frac1z \sum_{n=0}^\infty \left(\frac 2z\right)^n = \sum_{n=0}^\infty \frac{2^n}{z^{n+1}}

So the series expansion of f(z) for |z| > 2 is

\displaystyle f(z) = \frac12 \left(\sum_{n=0}^\infty \frac{2^n}{z^{n+1}} - \frac1z\right)

\displaystyle f(z) = \frac12 \sum_{n=1}^\infty \frac{2^n}{z^{n+1}}

\displaystyle f(z) = \sum_{n=1}^\infty \frac{2^{n-1}}{z^{n+1}}

\displaystyle \boxed{f(z) = \frac14 \sum_{n=2}^\infty \frac{2^n}{z^n} = \frac1{z^2} + \frac2{z^3} + \frac4{z^4} + \cdots}

6 0
2 years ago
Question is in picture<br> IS MNL=QNL? Why or why not?
True [87]

Answer:

B) Yes, they are both right angles.

Step-by-step explanation:

3 0
2 years ago
Solve the inequality and graph the solution on the line provided.
jeka57 [31]

i hope this helps you......

3 0
3 years ago
Read 2 more answers
You run a non-profit agency and a benefactor passed away and left your organization 25% of his estate. If he had $384,000 in his
Andrews [41]
25% times $384,000 is $96
So the organization would receive $ 96 bucks
also 25 can be written .25 which make it much more easier to calculate. hope this help 
6 0
4 years ago
Read 2 more answers
Other questions:
  • Find dy/dx<br><br> y= ln (x/1+x²)<br><br> thank you!
    5·1 answer
  • Which strategy would not correctly solve this story problem? Mellie ran for 30 minutes on Monday, for 45 minutes on Tuesday, and
    12·1 answer
  • 30 PTS!! PLZ help answer with picture!! Draw an example of a rectangular prism and label the parts.
    11·1 answer
  • Please help I don't know how to find area so please help
    7·1 answer
  • What is the value of x?<br><br><br><br> (Attatched file didn't upload first time for some reason)
    8·1 answer
  • Please help asap!!!!!
    15·1 answer
  • Which is more 0.5 or 5.0 and which is more 0.5 or 0.50
    10·2 answers
  • Find the product of 8(477- 18).
    5·2 answers
  • 4. Which of the following sets of ordered pairs is a function?
    9·1 answer
  • Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!