<u>Answer-</u>
<em>After 76 swings</em><em> the angle through which it swings less than 1°</em>
<u>Solution-</u>
From the question,
Angle of the first of swing = 30° and then each succeeding oscillation is through 95% of the angle of the one before it.
So the angle of the second swing =
Then the angle of third swing =
So, this follows a Geometric Progression.
a = The initial term = 30
r = Common ratio =
As we have to find the number swings when the angle swept by the pendulum is less than 1°.
So we have the nth number is the series as 1, applying the formula
Putting the values,
Taking logarithm of both sides,
Therefore, after 76 swings the angle through which it swings less than 1°
Answer:
Step-by-step explanation:
Upper box in the diamond: Add the two numbers ⇒ (-2) + 3 = -1
Bottom box in the diamond : Multiply the two numbers ⇒ (-2) * 3 = -6
3) Upper box = (-6) + (-3) = (-9)
Bottom box = (-6) *(-3) = 18
4) Upper box = 1 +(-11) = -10
Bottom box = 1 *(-11) = -11
5) Upper box = 7+8 = 15
Bottom box = 7*8 = 56
Answer:
Is there a picture or any information which I can use to help you?
<em>-shonenly :)</em>
Step-by-step explanation:
14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
I would either graph these (which would be a easiest) then you would see a line that goes through (0, -2) on the y-axis
And you can either determine the slope from the graph or pick two points above and find the slope.
or spread them out evenly and fill out the missing pieces.
-8. -4
-4. -3
0
4. -1
6. -0.5
8
12. 1
Fill in the middle values and you can put (6,-0.5) on there
What pattern do u see? This way would be pretty hard.
Equation: y=(1/4)x-2