Answer: 1,594,323
Step-by-step explanation:
No of leaves which falls daily on the first day = 1
No of days leaves falls = 14 days.
Solution:
No of leaves of day 1
= 1.
No of leaves on day 2
= 1*3
= 3
No of leaves of day 3
= 3*3
= 9
No of leaves of day 4
= 9*3
= 27
No of leaves on day 5
= 27*3
= 81
No of leaves on day 6.
= 81*3
= 243.
No of leaves of day 7
= 243*3
= 729
No of leaves on day 8
= 729 * 3
= 2187
No of leaves on day 9
= 2187 *3
= 6561
No of leaves on day 10
= 6561 * 3
= 19683
No of leaves on day 11
= 19683 * 3
= 59049
No of leaves on day 12
= 59049 *3
= 177147
No of leaves on day 13
= 531441
No of leaves on day 14
= 531441 * 3
= 1,594,323.
The number of leaves that would be on the ground on the 24th day of autumn would be 1,594,323
Answer:
Step-by-step explanation:
We have been given that a bean plant grows at a constant rate for a month. after 10 days, the plant is 30 centimeters tall. after 20 days, the plant is 50 centimeters tall.
First of all we will find slope of our line using given points.
Upon substituting coordinates of our given points in slope formula we will get,
Therefore, slope of our given line is 2.
Since the equation of a line in point slope form is 
.
Upon substituting m=2 and coordinates of one point in above equation we will get,
Therefore, the equation that models the height of the plant (y) after x days will be .
3<em>x</em> + 120° + <em>x</em> + 120° = 360°
4<em>x</em> + 240° = 360°
4<em>x</em> = 120°
<em>x</em> = 30°
<em>y</em> = 1/2 (3<em>x</em> - <em>x</em>)
<em>y</em> = 1/2 (90° - 30°)
<em>y</em> = 1/2 × 60°
<em>y</em> = 30°
0.735 expressed as a fraction is 3/8
