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
Vikentia [17]
3 years ago
5

Simplify. Assume that all variables represent positive real numbers. sqrt[45][x]^[7][y]^[8]

Mathematics
2 answers:
Lisa [10]3 years ago
4 0

Answer:

3 x^3 y^4 sqrt(5x)

Step-by-step explanation:

sqrt(45x^7y^8)

We know that sqrt(ab) = sqrt(a)sqrt(b)

sqrt(45)sqrt(x^7) sqrt(y^8)

sqrt(9*5) sqrt(x^2 *x^2 * x^2* x) sqrt(y^2 *y^2 *y^2 *y^2)

We know that sqrt(ab) = sqrt(a)sqrt(b)

sqrt(9)sqrt(5) sqrt(x^2)sqrt(x^2) sqrt(x^2) sqrt(x) sqrt(y^2)sqrt(y^2)sqrt(y^2)sqrt(y^2)

3 sqrt(5) x*x*x sqrt(x) y*y*y*y

3 x^3 y^4 sqrt(5)sqrt(x)

3 x^3 y^4 sqrt(5x)

AVprozaik [17]3 years ago
3 0

Answer:

3 x^3 * y^4*√(5x)

Step-by-step explanation:

Factor

45: <u>3 * 3</u> * 5

y^8 = <u>y * y</u> * <u>y * y</u> *<u>y * y</u> * <u>y * y</u>

x^7 = <u>x *x</u> *<u>x *x </u>*<u>x *x</u> *x

Now underline every pair.

Rule: for every pair, take 1 outside the square root sign and throw the other one away. If any of the bases are left over, leave them under the square root sign.

3 * y * y * y * y * x * x * x *  √ (5 * y)

Answer: 3 x^3 * y^4*√(5x)

You might be interested in
if a car traveling at 100 m/s must slam on the brakes to avoid hitting a raccoon and it takes 4 seconds for the car to slow down
rusak2 [61]

1.)

Velocity is in m/s, and acceleration is in m/s^2 like you said. Because of this, we can calculate this by dividing the speed by the time it took to get to that speed.

(20 meters/second) / 10 seconds = 2 meters/ second^2

2.)

Same thing with the first one.

(100 meters/second) / 4 seconds = 25 meters / seconds^2

3 0
2 years ago
zoe paid $18.60 in sales tax and tips for her dinner. The sales tax rate is 11%, and she tipped 20%. (the sales tax does not app
arsen [322]

Answer:

$13.97  was the price of the dinner b4 tax and tip

Step-by-step explanation:

18.60 - 11% (1.84) = 16.76

16.76 - 20%(2.79) = 13.97

5 0
3 years ago
Sam’s business manufactures 5 times as many widgets as Mary does every hour but Sam needs to stop for a few minutes every hour a
natita [175]
Answer:
A) S=5M-3

Explanation:
6 0
3 years ago
The value of U.S exports to China increased from $1480 million in 2011 to $2768 million in 2012. What was the percentage increas
loris [4]

Answer: Percentage increase is <em><u>87.02%.</u></em>

Explanation: Percentage increase is calculated by subtracting the value in 2012 from the value of exports in 2011 and then dividing it by the value in year 2011.

a. Subtract value in 2012 from value in 2011

b. Divide the answer in part a by value in 2011.

c. Multiply the answer in part b by 100.

We have the percentage increase.

<u>mark brainliest pls </u>

8 0
2 years ago
Choose the answer. 3. (1 pt) Which is an example of the distributive property? A. 9 • (t + 5) = 9t + 45 B. 9 • (t + 5) = (t + 5)
saw5 [17]
The answer is A. this is because your are multiplying by 9 throughout
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression is equivalent to (xy)z?
    7·1 answer
  • Please Answer The Mean! {NO EXPLANATION NEEDED!} &lt;3
    11·1 answer
  • A 12% discount on a tent saved melanie $75 what was the original price
    14·1 answer
  • What is the measure in radians for the central angle of a circle whose radius is 9 cm and intercepted arc length is 7.2 cm? Ente
    5·2 answers
  • What are expressions that are equivalent to 16x + 36
    15·1 answer
  • Discuss and explain why sampling permits us to make inferences about populations.
    13·1 answer
  • I need help please I don't understand
    9·2 answers
  • (t + 1)(t2 + 2t + 4)<br> find the product.
    15·2 answers
  • A car cover a distance 300 miter in 50 second How much distance a car covers in 1 second​
    10·1 answer
  • one gym membership charges $10 a month with a sign-up fee of $45. Another gym does not charge patrons a sign-up fee but costs $2
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!