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zhannawk [14.2K]
2 years ago
11

Simplify the expression. 5 square root of 224x^11y^8

Mathematics
1 answer:
Gennadij [26K]2 years ago
3 0

Answer:

The first is correct!

Step-by-step explanation:

224=7*2^5.

X^11=X*x^10

Y^8=y^3*y^5

5th sqrt(7*2^5)=2* 5th sqrt(7)

5th sqrt(x*x^10)=x^2 * 5th sqrt(x)

5th sqrt(y^3 * y^5)= y* 5th sqrt(y^3)

So the 5th sqrt(224x^11y^8) is

2x^2 *y * 5th sqrt(7xy^3)

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What is the distance, to the nearest whole number, from K (5, 6) to P (1, 1)?
Elza [17]

Answer:

<h3>The answer is 6 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

K (5, 6) P (1, 1)

The distance from K to P is

|KP|  =  \sqrt{ ({5 - 1})^{2} +  ({6 - 1})^{2}  }  \\  =  \sqrt{ {4}^{2} +  {5}^{2}  }  \\  =  \sqrt{16 + 25}  \\  =  \sqrt{41}  \\  = 6.403124

We have the final answer as

<h3>6 units to the nearest whole number</h3>

Hope this helps you

5 0
2 years ago
Freddy the frog is climbing up a well. Every day he climbs up 3 m but some nights he falls asleep and slips back 4m at the start
Anarel [89]

Answer: The frog fell asleep for 4 nights.

Step-by-step explanation: First, he climbs up 3m every night. there are 16 nights before he gets to 29m. He has not climbed up for the 16th day so 15*3= 45. 45-29= 16. 16/4=4. The frog slept for 4 nights.

7 0
2 years ago
Gaming a video-game designer is using the expression 6n3 in a program to determine points earned, where n is the game level. sim
charle [14.2K]

Gaming a video-game designer is using the expression 6n3 in a program to determine points earned, where n is the game level.

Given expression is 6n^3. the given expression is for the nth level.

To simplify the expression for the  n^2 level, we plug in n^2  in the place of 'n' in the given expression

6n^3

6(n^2)^3 (multiply the exponents)

6n^6


5 0
2 years ago
Read 2 more answers
Elene and abbi are in a race. Elene can run 3 meters per second and abbi can run 2 meters per second. Elene gives abbi a 10 mete
Romashka-Z-Leto [24]

Answer:

10 Seconds

Step-by-step explanation:

Speed of Elene = 3m/s

Speed of Abbi = 2m/s

Let the  time be t  seconds taken by Elene to  catch abbi.

Distance for any speed S and time is calculated by formula given below

Distance = speed * time

  • distance covered by Elene in time t =  3m/s * t = 3t m  -->equation A
  • distance covered by Abbi in time t =  2m/s* t = 2t m  --> equation B

Since it is given that Elene has given abbi 10 m head start it means that

Elene has to run extra 10 meters than Abbi to catch abbi.

Thus we can say that

distance run by Elene = 10 m + distance run by Abbi

Substituting that value distance run by Elene from equation A

and distance run by Abbi from equation B

we have

3t = 2t +10

=>3t - 2t = 10

=> t = 10

Therefore it will take 10 second for elene to catch abbi.

6 0
2 years ago
Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance fro the same section of the race is disp
sergey [27]

Step-by-step explanation:

Ryan had a head start of 10 meters.

5 0
2 years ago
Read 2 more answers
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