1/2 = 40kg
1/5 = 22kg
1/2 = 5/10
1/5 = 2/10
3/10 is the difference between 18kg.
This means 1/10 of the box filled with apples is 6kg.
40 - (5 x 6) = 10kg. The box weighs 10kg alone.
πr² = π.5.5 = π25 units² or 78.5 units²
hope it helps...!!!
The points are (7, 13/3).
Lets simplify the equation,
The equation of first line: y = 1/3 x + 2
the equation of second line: y= 4/3x - 5
Solve the system of equations by elimination,
Multiply equation A by -4 both sides
-4y = -4(1/3x +2)
-4y = -4/3x-8
After eliminating the equation we get,
y = 13/3
So now have to find x
13/3 = 1/3x + 2
Lets multiply above by 3
x = 13-6
x = 7.
Hence the points are (7, 13/3)
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The probability of first number cube shows a five and the other number cube shows an even number is
.
Solution:
Two cubes are rolled sequentially.
Sample space when two dies are rolled

Number of sample space = 36
Even numbers getting when two cubes rolled are 2, 4, 6.
First number cube shows a five and the other number cube shows an even number = {(5, 2), (5, 4), (5 6)}
Number of first number cube shows a five and the other number cube shows an even number = 3
Probability of first number cube shows a five and the other number cube shows an even number



Hence, the probability of first number cube shows a five and the other number cube shows an even number is
.
Answer:
a) 
b) f(x) 
c) Year 1: Linear $17550, exponential $17099
Year 4: Linear $5700, exponential $8601
d) Exponential model
e) The linear model depreciates the value quicker than exponential model long term around 4 years
Step-by-step explanation:
a) At year 0 the price is 21500 and at year 2 the price is 13600
WE can use points (0,21500) and (2,13600)
We can determine the gradient

We can use the point slow formula:



b) We can use the following equation:
f(x) 
f(x) is the depreciation value after amount of time t, a is the new value, r is the rate of depreciation and x is the time.


The depreciation rate is 20.47% and is negative because it decreases the new value of the car
c) Year 1:

f(x) 
Year 4:

f(x) 
d) Year 2

f(x) 