Answer:
8.68 seconds
Step-by-step explanation:
Given:
Height of the deck above the street, s = 370 m
Since the condition is of free falling
thus,
initial speed, u = 0
Acceleration of the penny = acceleration due to gravity, g = 9.81 m/s²
Now,
from Newton's equation of motion, we have
here,
s is the distance
a is the acceleration
t is the time
on substituting the values, we get
or
t² = 75.433
or
t = 8.68 seconds
Answer:
First number is -2.5
Second number 5
Step-by-step explanation:
Four times the first number minus three times the second number is 2.
To represent this statement, 4x -3y =2
Two times the first number increased by three times the second is 10.
To represent thsi statement, 2x+ 3y = 10
4x - 3y = 2
2x + 3y =10
4x - 2x = 2x
2x = -5
x= -2.5
The first number is -2.5
By using Substitution
2x + 3y = 10
2(-2.5) + 3y = 10
-5 + 3y = 10
3y = 10 +5
3y =15
y = 5
The second number is 5
....To check my answer
-5 + 15 = 10
The answer $1.72. you divide $24.50 by .07 and the answer comes out to $1.715 and then you round up and have 1.72
Part A
The equation is b = 36*a or simply b = 36a
We take the size of the farm 'a' and multiply it by 36 to get the number of bushels of corn 'b'.
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Part B
The 36 means there are 36 times more bushels of corn compared to the size of the farm in acres
For example, if the size is 2 acres then
b = 36*a
b = 36*2
b = 72
yielding 72 bushels of corn
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Part C
Along the first row you should have: 25 and 30 in the missing blanks (over 900 and 1080 respectively)
You find this by dividing the value of b over 36
eg: b/36 = 900/36 = 25
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Then along the bottom row you should have the following for the blanks: 0, 360, 1800
These values are found by multiplying the 'a' value by 36
eg: if a = 10 then b = 36*a = 36*10 = 360
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Part D
Plot any two points you want from the table back in part C
So plot say (0,0) and (10,360). Then draw a straight line through those two points.
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Part E
The point (30,1080) means a = 30 and b = 1080
So if the farm is 30 acres, then it can produce 1080 bushels of corn
Notice how
b = 36*a
b = 36*30 <<-- replace 'a' with 30
b = 180
And how this matches up with the fourth column of the table in part C. So you can use this part to get a hint of how to fill out the table (or at least know what one column looks like)
Answer:
Final cost = £779
Step-by-step explanation:
It is given that:
Cost of summer holiday = £650
Amount increased by 11%
Increased cost = 11% of 650
Increased cost = 
Increased cost = 0.11 * 650 = £71.50
Amount after increment = 650 + 71.50 = £721.50
Further increase = 8%
Amount = 0.08 * 721.50 = £57.72
Final cost = 721.50 + 57.72 = £779.22
Thus,
Final cost = £779
