MATHEMATICS HIGH SCHOOL

A soccer ball is traveling at a velocity of 50 m/s. The kinetic energy of the ball is 500 J. What is the mass of the soccer ball? 0.1 kg

0.2 kg

0.4 kg

0.5 kg

Answers

Answer 1
Answer: The mass of the soccer ball would be 0.4kg.  Hope this helps!

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In a version of the game of roulette, a steel ball is rolled onto a wheel that contains 19 red, 19 black and 2 green slots. If the ball is rolled 25 times, the probability that it falls into the green slots two or more times:___________.

Answers

Answer:

The probability is 0.3576

Step-by-step explanation:

The probability for the ball to fall into the green ball in one roll is 2/1919+2 = 2/40 = 1/20. The probability for the ball to roll into other color is, therefore, 19/20.

For 25 rolls, the probability for the ball to never fall into the green color is obteined by powering 19/20 25 times, hence it is 19/20^25 = 0.2773

To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649

The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.

As a result. The probability that the ball falls into the green slot at least twice is 1- 0.2773-0.3629 = 0.3576

What is the product? (X+1)(x+4)

Answers

(x+1)(x+4) 

Apply \ the \ FOIL \ method: (a+b)(c+d)=ac+ad+bc+bd 

x^2+4x+x+4 

x^2+5x+4

Which of the following polygons can form a regular tessellation?A. Regular heptagon
B. Regular pentagon
C. Regular octagon
D. Square

Answers

Answer:

D. Square

Step-by-step explanation:

A square is a regular tessellation because a regular tessellation is a pattern made up of only one single shape placed in some kind of pattern.

PLEASE HELPslove for X


37


19.25


10.375


41

Answers

Answer:

25

Step-by-step explanation:

Answer:

A. 37

Step-by-step explanation:

I just did this question and this was the answer that was right for me. Sorry that I saw this question late :(

Nells mortgage is 50,150 at 10 percent for 30 years. What is her monthly payment if she must pay 8.78 points per 1,000?A.) 440.32
B.) 439
C.) 422.95
D.) 385.89

Answers

I think it the answer is A.) 440.32

50,150 / 1,000 = 50.15 
50.15 x 8.78 = 440.317 or 440.32

when (2x - 3)^2 is subtracted from 5x^2, what is the result? And how can I show the answer? Thank you x

Answers

5x^2 - (2x - 3)^2 = 
5x^2 - ((2x - 3)(2x - 3)) =
5x^2 - (4x^2 - 6x - 6x + 9) =
5x^2 - (4x^2 - 12x + 9) =
5x^2 - 4x^2 + 12x - 9 =
x^2 + 12x - 9 <===
first expand (2x-3)^2
(2x-3)(2x-3)=(2x-3)(2x)+(2x-3)(-3)=4x²-6x-6x+9=4x²-12x+9

so
5x²-(4x²-12x+9)=5x²-4x²+12x-9=x²+12x-9
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