MATHEMATICS HIGH SCHOOL

Simplify:
(6r^4S^3)(9rs^2)

Answers

Answer 1
Answer: (6r^4s^3)(9rs^2)=6\cdot9r^(4+1)s^(3+2)=54r^5s^5

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Somebody please help ASAP!!!!

1 . The lengths of the legs of a right triangle are 25 cm and 60 cm. What is the length of the hypotenuse?
A. 42.5 centimeters
  B. 65 centimeters
  C. 9.2 centimeters
  D. 35 centimeters


























 



D.





35 centimeters

Answers

a^(2)+ b^(2) = c^(2) that is, hypotenuse.
Therefore, let the length of the hypotenuse be 'x.' 
25^(2)+ 60^(2)= x^(2)
625+3600=x^(2)
4225=x^(2)
Therefore,
√(4225)=x
65=x
The length of the hypotenuse is B.65 centimetres.

To prepare for a triathlon, Mary swam 6.2 miles, jogged 10.5 miles, and biked 18.1 miles. In total, how many miles did she travel during exercise?

Answers

It's 34.8 miles there you go

Find the nth term of 2, 8, 18, 32, 50

Answers

From the series,  2, 8, 18, 32, 50,...

By observation and by trial and error.

The first term, n = 1    = 2*1*1 = 2

Second term, n =2,     = 2*2*2 = 8

Third, n =3,                = 2*3*3 = 18

Third term, n = 4,       = 2*4*4 = 32

Fourth term, n =5,     2 * 5* 5 = 50

For nth term,        2 *n *n = 2n²

Therefore nth term =  2n²

I hope this helps.

Does anyone know how to finish it or did I do it right?? I’m confused if I have to cancel out the 6x and leave the 3 over x or leave it as it is.

Answers

Answer:

\frac{2x - 1}{2 {x}^(2) }

Step-by-step explanation:

From your last step, divide by 3 throughout.

You cannot divide by 6x throughout because 3 cannot be divided by 6x.

Another way to do it is:

\frac{6x - 3}{6 {x}^(2) } \n = \frac{6x}{6 {x}^(2) } - \frac{3}{6 {x}^(2) } \n = (1)/(x) - \frac{1}{2 {x}^(2) }

However, if the question requires you to leave your answer in a single fraction in its simplest form, only the first answer is accepted.

What is the y intercept of the line -9 + 3y= 18

Answers

Answer:

0,9

Step-by-step explanation:

Answer:

y=9

Step-by-step explanation:

In this equation you would add 9 to get the y on a side by itself that would get you 3y=27, then you would divide both sides by 3 and end up with your y-intercept to be 9.

Which of the following is the probability of drawing a black card or a face card from a standard deck of cards?1/2
19/26
3/26
8/13

Answers

The required probability = 8/13 since option D is the correct answer.

What do we mean by probability?

The probability of any outcome is the ratio of the number of favorable outcomes to the total number of possible outcomes.

How do we calculate the probability in the given question?

A standard deck of cards contains 52 cards.

∴ Total number of possible outcomes n(S) = 52

Number of black cards in a standard deck = 26

Number of face cards in a standard deck = 12

But, black face cards have already been counted in the black cards, so we subtract the number of black face cards = 6.

∴ Number of favorable outcomes n(A) = 26 + 12 - 6 = 32

∴ Probability (A black card or a face card) = n(A)/n(s) = 32/52 = 8/13

∴ The required probability = 8/13. The correct option is D.

Learn more about Probability at

brainly.com/question/25870256

#SPJ2
1) Well, we know there are 52 cards in a deck.
So, we would divide 52 by 2 because half of the cards are black, half red. So, that means the fraction would have to be of half of 52.  1/2 would be the correct fraction for getting a black card out.
2) There are 12 faced cards in one deck. (That is about as much as I for sure know)
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