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
Zigmanuir [339]
2 years ago
11

Please help me answer these 2 questions with a FULL explanation so I know how to do the rest myself. Giving brainliest.

Mathematics
1 answer:
sveticcg [70]2 years ago
3 0

Answer to 1:

\frac{x^3}{2y^25}

First thing you want to do is combine like terms on the bottom. Since it's multiplication, all you have to do is add the exponents. So for x you'd get x raised to the -9 power and for y you'd get 2y raised to the power of 7

Second thing is the numerator of the fraction. Since this is raising what is inside the paranthesis to a power, you must multiply this power by the powers of x and y, respectively. You should get x raised to the power of -6 and y raised to the power of -18

Here's where it gets complicated. to rationalize the problem, you must add parts from the numerator and denominator or vice versa. You cannot have any negative exponents anywhere in the fraction.  So that means for x you have to add 9 to the x on the top to cancel out the -6 and rationalize the remaining x's. You should end up with x^3.

For y, you work the opposite way. Since the negatives are only on the top, you simply add 18 to the bottom y's and it remains rationalized.

If done correctly this should come out to x^3/2y^25

Answer to 2:

(x^20y^12)/256

First thing you can do on this one is to cancel out the x^0s. Anything to the power of 0 equals one so only the coefficients will remain. Multiply those together and you'll get 4.

Next you will rationalize the ys. Add the bottom 3 to the top to cancel out the denominator and you're left with y^-3. Leave it like this for now.

Now is the difficult part. You must take everything that is inside the parenthesis to the power of -4. That includes the coefficients and the exponents. 4^-4 = 1/256. This means that you now must move the coefficients to the bottom. You should currently have y^-3/(256x^5).

Now take the exponents to the power using the same rules as question 1. -3*-4 = 12 and 5*-4 = -20. You should now have y^12/(256x^-20)

Lastly, we must rationalize the denominator. To do so, move the x^-20 to the numerator and make the exponent positive. After doing this, you have the answer: (x^20y^12)/256

You might be interested in
What is the simplified form of 30 times x to the sixth power over 14 times y to the fifth power times the fraction 7 times y-squ
Sonbull [250]
If we convert the given in its mathematical form, we have,

                      (30x⁶/14y⁵)(7y²/6x⁴)
It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².

                      ((6x⁴)(5x²)/(7y²)(2y³))(7y²/6x⁴)

Cancellation of the common terms will give us an answer of,
  
                               <em>5x²/2y³

</em>
<em />Therefore, the simplified version of the involved operation is 5x²/2y³. <em>
</em>
6 0
3 years ago
Identify the slope represented in the graph below.
Vedmedyk [2.9K]
Answer:
The slope is -2
Explanation:
I choose two points on the graph (0,-2) and (-1,0) and put it into the slope form using two coordinate pairs which is y-y/x-x and got -2/1 which simplifies down to -2
5 0
2 years ago
The sum of three consecutive multiples of 7 is 777 find these multiples
Rudik [331]

let the consecutive multiples be 7(n-1) , 7n and 7(n+1)

so 7(n-1)+7n+7(n+1)=777

or 3n=111,

n=37

252,259,266

4 0
3 years ago
Read 2 more answers
Joe went to watch the Quakes play baseball at Epicenter stadium in Rancho Cucamonga. While he enjoyed the game, he also purchase
anzhelika [568]

Answer:

a) True

b) True

c) False

d) True

Step-by-step explanation:

A discrete variable is the one where the values taken by it are possible to count (usually the values are natural numbers)

On the other side, a continuous variable is the one that has an uncountable number of values. (usually the values are real numbers)

Considering these definitions we get:

a)The batting average of Joe’s favorite player is a continuous variable: True, this average can take any number among the real numbers.

b) The number of hot dogs that Joe bought is a discrete variable: True, Joe can only buy 1, 2, 3, 4... hot dogs, this set is countable and therefore is a discrete variable.

c) The number of strikeouts in the game is a continuous variable: False, the strikeouts are natural numbers (1, 2, 3, 4...) and therefore are countable and they are a discrete variable.

d) The Quakes standings in the league is a discrete variable: True. The standing of a team in a league is a discrete variable since it can be 1st place, 2nd place... and therefore it's countable.

4 0
3 years ago
GIVING OUT BRAINLIEST HELP MEE PLSSS
SIZIF [17.4K]

Answer:

15

Step-by-step explanation:

Hope this helps

Please pick me as the  brainest

3 0
2 years ago
Other questions:
  • A city's population was 30,200 people in the year 2010 and is growing by 950 people a year. Give a formula for the city's popula
    13·2 answers
  • Help me please. I don't understand.
    7·1 answer
  • Please answer a a a a a a a a
    13·1 answer
  • If 3ab = c, then solve for a
    12·1 answer
  • Candidate A received 15,000 fewer votes than
    8·1 answer
  • An arithmetic sequence is represented by the recursive formula a1=17an=an−1−8 . What is the fourth term in the sequence? a4=−4 a
    14·1 answer
  • Just a friendly reminder
    11·1 answer
  • What is the length of the hypotenuse of the following triangle to the nearest whole number?
    9·1 answer
  • Easiest way to calculate 22% mark up from a cost of say 39.99
    15·1 answer
  • Can some help pleasee????
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!