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
Aliun [14]
3 years ago
14

Simply by using rationalize denominators. 2a^-1/2

Mathematics
1 answer:
Advocard [28]3 years ago
8 0
Pemdas, so exponent before multiply
so do a^-1/2 then multiply it by 2

remember that x^ \frac{m}{n}= \sqrt[n]{x^m} and
x^{-m}= \frac{1}{x^m}
therefor, a^ \frac{-1}{2}= \frac{1}{a^ \frac{1}{2} } = \frac{1}{ \sqrt{a} }
the we multiply by 2

\frac{2}{ \sqrt{a} }

You might be interested in
Springfield nuclear energy inc bonds are currently trading at 283.30. The bonds have a face value of $1,000, a coupon rate of 2%
vampirchik [111]

<u>Answer:</u>

The yield to maturity of the bonds is 11%

<u>Explanation:</u>

Price at which the bonds is currently trading = 283.30$

Face Value = $1000

Coupon rate = 2%

Hence the coupon bond rate = $1000 ×2%

= 1000\times \frac{2}{100}

=$20

Years to maturity: 20 years

Formula used:  

=\frac{(C+ (\frac{(F-P)}{n}))}{(\frac{(F+P)}{2})}

Where C is the bond coupon rate

F is the face value

P is the price

N is the number of years

=\frac{(20 +(\frac{(1000-283.30)}{20})}{(\frac{(1000+283.30)}{2})}

=11%

The yield to maturity of the bonds is 11%

3 0
3 years ago
A car travels 20 mph slower in a bad rain storm than in sunny weather. the car travels the same distance in 2 hrs in sunny weath
ycow [4]
You can create two equations.

"<span>A car travels 20 mph slower in a bad rain storm than in sunny weather."
</span>
\sf x-20=y

Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

"<span>The car travels the same distance in 2 hrs in sunny weather as it does in 3 hrs in rainy weather."

\sf 2x=3y

</span>Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

We want to find the speed of the car in sunny weather, or 'x'. Plug in the value for 'y' in the first equation into the second equation.

\sf \boxed{\sf x-20}=y
\sf 2x=3y\rightarrow2x=3(x-20)

Distribute:

\sf 2x=3x-60

Subtract 3x to both sides:

\sf -x=-60

Divide -1 to both sides:

\sf x=60

So the car goes 60 mph in sunny weather.
5 0
3 years ago
Leah's house has media room with a large flat screen tv. The media room tv has a width of 8 feet and a height of 4.5 feet. The f
neonofarm [45]
The ratio of the media room tv's width to height is 8ft to 4.5ft or 8/4.5

since the ratio of the living room tv's width to height is the same, the ratio would be
x/27 = 8/4.5
with x being the living room tv's width. Solve for x
x = (8/4.5)(27)
   = 48
The width of the living room tv is 48 inches
4 0
3 years ago
Read 2 more answers
Using the digits 2 through 8, find the number of different 5-digit numbers such that, digits can be used more than once.
Solnce55 [7]

Answer:

7 digits can be used for each position

There are a total of 5 positions

N = 7^5 = 16,807 numbers

You have 7 choices for the first position, second position, etc.

7 0
3 years ago
A cone and a cylinder both have a diameter of four feet and a height of six feet. Determine if the statement is true by selectin
Anettt [7]

Answer:

yes, no, yes, no

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • I need help please!!!! Jon buys t shirts online for his friends. the table below shows the cost including the shipping fee. writ
    13·1 answer
  • What is the median of the data set represented by the dot plot? Enter the answer in the box. A number line with line with one do
    13·2 answers
  • Can someone help me with this
    13·2 answers
  • U-5=-4(v-1) <br> What is f(v)=
    15·1 answer
  • The train ride at the zoo covers a distance of 2 1/2 miles in 1/4 of an hour. At what rate in miles per hour does the train go
    7·2 answers
  • Griven a matrix<br> A= ( 1 -2 2, 0 -1 0, 2 6 1)<br><br> Find all eigenvalues of A
    7·1 answer
  • Plz help find area and perimeter
    5·1 answer
  • A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0 gram setting. It
    15·1 answer
  • Solve y=5-3x+4y=8
    9·1 answer
  • My last one got deleted but whats 10x5 i dont actually but u get it
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!