Answer:
Constant of proportionality is 190.
Step-by-step explanation:
To find proportionality constant we will find difference of weights after 2 days and at birth.
Now we will find difference of weights after 14 days and at birth. We will divide the difference by 14.
We can see that weights are increasing at a constant rate of 190 pounds per day. Therefore, our constant of proportionality is 190.
Answer:
The exact volume is 192π
1)You multiply the radius squared by the height so 4^2 times 12
2)38.4π because you take the volume of the cylinder and multiply it by .20
Step-by-step explanation:
19 trees should be planted to maximize the total
<h3>How many trees should be planted to maximize the total</h3>
From the question, we have the following parameters:
Number of apples, x = 18
Yield, f(x) = 80 per tree
When the number of apple trees is increased (say by x).
We have:
Trees = 18 + x
The yield decreases by four apples per tree.
So, we have
Yield = 80 - 4x
So, the profit function is
P(x) = Apples * Yield
This gives
P(x) = (18 + x) *(80 - 4x)
Expand the bracket
P(x) = 1440 - 72x + 80x - 4x^2
Differentiate the function
P'(x) = 0 - 72 + 80 - 8x
Evaluate the like terms
P'(x) = 8 - 8x
Set P'(x) to 0
8 - 8x = 0
Divide through by 8
1 - x = 0
Solve for x
x = 1
Recall that:
Trees = 18 + x
So, we have
Trees = 18 + 1
Evaluate
Trees = 19
Hence, 19 trees should be planted to maximize the total
Read more about quadratic functions at:
brainly.com/question/12120831
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A certain four-cylinder combination lock has 50 numbers on it.
It is a four cylinder combination lock
Each cylinder has 50 numbers
So we have to choose 4 numbers for 4 cylinders
_____ , ______ , ______, _____
you turn to a number on the first cylinder
We have 50 numbers so we have 50 combinations
__50___ , ______ , ______, _____
Repetitions are allowed so we do the same for remaining three
50 , 50 , 50 , 50
50 * 50 * 50* 50 = 6250000
There are 6250000 different lock combinations .
The problem on the left is going to be 1 tens and 8 ones, so 18.
The problem on the right is going to be 2 tens and 9 ones, so 29.
