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
Kazeer [188]
3 years ago
10

Please help me and show your work!!

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
4 0
\bf \cfrac{\sqrt{250x^{16}}}{\sqrt{2x}}\qquad 
\begin{cases}
250=2\cdot 5\cdot 5\cdot 5\\
\qquad 2\cdot 5\cdot 5^2\\
x^{16}=x^{8\cdot 2}\\
\qquad (x^8)^2
\end{cases}\implies \cfrac{\sqrt{2\cdot 5\cdot 5^2\cdot (x^8)^2}}{\sqrt{2\cdot  x}}

\bf \cfrac{5x^8\sqrt{2\cdot 5}}{\sqrt{2}\cdot \sqrt{x}}\implies \cfrac{5x^8\underline{\sqrt{2}}\cdot \sqrt{5}}{\underline{\sqrt{2}}\cdot \sqrt{x}}\implies \cfrac{5x^8\sqrt{5}}{\sqrt{x}}\impliedby 
\begin{array}{llll}
\textit{and rationalizing the}\\
\textit{denominator}
\end{array}

\bf \cfrac{5x^8\sqrt{5}}{\sqrt{x}}\cdot \cfrac{\sqrt{x}}{\sqrt{x}}\implies \cfrac{5x^8\sqrt{5}\cdot \sqrt{x}}{(\sqrt{x})^2}\implies \cfrac{5x^8\sqrt{5x}}{x}\implies 5x^8x^{-1}\sqrt{5x}
\\\\\\
5x^{8-1}\sqrt{5x}\implies 5x^7\sqrt{5x}
You might be interested in
Help me solve problem one please.
max2010maxim [7]

Answer: His temperature is 99°F

Step-by-step explanation:

Let's state what we know:

Steve's temperature was initially 102°F

Later it dropped 3°F lower

Since his temperature decreased we need to subtract 3 from 102 to see what his temperature is now

102-3=99

4 0
2 years ago
What is a Subset(It should be in the simplest form)
NISA [10]

Answer:

1 : a set each of whose elements is an element of an inclusive set. 2 : division, portion a subset of our community.

Step-by-step explanation:

In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B. The relationship of one set being a subset of another is called inclusion

hope this helps

8 0
2 years ago
According to the school survey 12% of the students at Rockwood high school speak Spanish there are 36 students at the school who
Svet_ta [14]
36 - 12%
x - 100%

x=\frac{100\%\cdot36}{12\%}\\
x=300

6 0
2 years ago
Read 2 more answers
(2pm^-1q^0)^-4 • 2m ^-1 p^3 / 2pq^2
Montano1993 [528]

Answer:

\dfrac{m^3}{16p^2q^2}

Step-by-step explanation:

Given:

(2pm^{-1}q^0)^{-4}\cdot \dfrac{ 2m^{-1} p^3}{2pq^2}

1.

m^{-1}=\dfrac{1}{m}

2.

q^0=1

3.

2pm^{-1}q^0=2p\cdot \dfrac{1}{m}\cdot 1=\dfrac{2p}{m}

4.

(2pm^{-1}q^0)^{-4}=\left(\dfrac{2p}{m}\right)^{-4}=\left(\dfrac{m}{2p}\right)^4=\dfrac{m^4}{(2p)^4}=\dfrac{m^4}{16p^4}

5.

m^{-1}=\dfrac{1}{m}

6.

2m^{-1} p^3=2\cdot \dfrac{1}{m}\cdot p^3=\dfrac{2p^3}{m}

7.

\dfrac{ 2m^{-1} p^3}{2pq^2}=\dfrac{\frac{2p^3}{m}}{2pq^2}=\dfrac{2p^3}{m}\cdot \dfrac{1}{2pq^2}=\dfrac{p^2}{mq^2}

8.

(2pm^{-1}q^0)^{-4}\cdot \dfrac{ 2m^{-1} p^3}{2pq^2}=\dfrac{m^4}{16p^4}\cdot \dfrac{p^2}{mq^2}=\dfrac{m^3}{16p^2q^2}

8 0
3 years ago
What is the surface area of the right cylinder below. radius 3 height 7​
lina2011 [118]

Answer:

160 sq. uits

Step-by-step explanation:

160 sq. uits é a resposta

4 0
2 years ago
Other questions:
  • 5 1/4 takeaway 1 1/3 (please write answer as a mixed number)
    7·2 answers
  • X+2y=20 2x +y=19
    14·2 answers
  • Solve d = c π for π. A) π = cd B) π = c d C) π = d c D) π = c − d
    14·2 answers
  • What is the value of w <br><br> W+33=2W
    13·1 answer
  • A triangle has an area of 30 cm2. The base and height are scaled by a factor of 4.
    6·1 answer
  • Which choice is NOT a way to find 9 ÷ 4?
    14·1 answer
  • Help with bonus question please
    10·1 answer
  • What is 10 seconds in 29 hours
    7·1 answer
  • On the coordinate plane below, Point P, is located at (2,-3) and point Q is located at (-4,4). Find the distance between points,
    11·1 answer
  • I don’t understand how to do this problem and get all the other answers, if you can help me that would be great!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!