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Alchen [17]
3 years ago
10

What is the square root of 225 and 226? Also what is a short cut I could use to figure this out more easily?

Mathematics
2 answers:
DochEvi [55]3 years ago
8 0
Square root of 225: 15
Square root of 226: 15.0332963784

A shortcut is by thinking of what two same numbers equals the number you are trying to find the square root for.
Reptile [31]3 years ago
6 0
The square root of 255+266 is 241. I can't help you with shortcuts as I'm bad at explaining, but I'm sure there are websites that can help you.
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What is 4log1/2^w(2log1/2^u-3log1/2^v written as a single logarithm?
IrinaK [193]
Given:

4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

Single logarithm = ?

Sol'n:

First remove the parenthesis,

4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)

Simplify each term,

Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:

 log 1/2 (w^4)  + 2 log 1/2 (u) - 3 log 1/2 (v) 
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)

We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

Thus,

Log of 1/2 (w^4 u^2) - log of 1/2 (v^3) 

then use the quotient property of logarithms which is log of b (x)  - log of b (y) = log of b (x/y)

Therefore, 

log of 1/2 (w^4 u^2 / v^3)

and for the final step and answer, reorder or rearrange w^4 and u^2:

log of 1/2 (u^2 w^4 / v^3)  
8 0
3 years ago
Read 2 more answers
Find the probability.
KATRIN_1 [288]

Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 15 bottles.

  • 5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.
  • After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.
  • For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.

The probability of the three outcomes occurring is given by:

p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

6 0
1 year ago
Two trains 100 km apart are traveling toward each other along the same track. The first train goes 50 km per hour; the second tr
dem82 [27]

Answer:

92.31 km

Step-by-step explanation:

Combined speed = 50+80

= 130 km/hour

Time = 100/130 = 10/13 hours to collide

Speed × time = distance

distance = 10/13 × 120

= 92.30769231 km

7 0
3 years ago
Help pls! 50 pts and brainliest!<br> tyyyy
sesenic [268]

Answer:

D.

Step-by-step explanation:

(1/6)*60 = 10

(1/6)*450 = 75

Check your work

75/10 = 7.5

450/60 = 7.5

Correct!

6 0
2 years ago
Plz get me the correct answer or u will be reported. 15 points for correct answer. Thx.
allochka39001 [22]

Answer:

D

Step-by-step explanation:

correct answer, thanks for 15 pts

7 0
3 years ago
Read 2 more answers
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