Answer:
The main flaw of this proof is that it did not take into consideration the fact a 4 cent postage must be made with a 4 cent stamp and a 3 cent postage must be made with a 3 cent stamp but only looked at allocating the stamps based on the total amount of postage
Step-by-step explanation:
From the question we are told that
The proof is
Every postage stamp of three cents or more can be formed using just 3 cent and 4 cent stamps.
Basic Step : We can form postage of 3 cents with a single 3 cent stamp and we can form postage of 4 cents using a single four cents tamp
Inductive Step: Assume that we can form postage of j cents for all non negative integers j with j <= k using just 3 cent and 4-cent stamps. We can then form postage of k+1 cents by replacing one 3 cent stamp with a 4-cent or two 4-cent stamps with three 3-cent stamps
FLAW IDENTIFICATION
Looking the inductive step, the statement ''by replacing one 3 cent stamp with a 4-cent or two 4-cent stamps with three 3-cent stamps '' means that it is possible to use a 3-cent stamp for postage that requires a 4 -cent stamp and this is not correct according the statement in the basic step
Generally the main flaw of this proof is that it did not take into consideration the fact a 4 cent postage must be made with a 4 cent stamp and a 3 cent postage must be made with a 3 cent stamp but only looked at allocating the stamps based on the total amount of postage
<h2>We know that</h2>
The initial height is 20 feet above the ground.
The function to model the velocity is
Where <em>s</em> represents the distance in feet.
Mathematically, this function has all real numbers as a domain. However, that will no make sense for this situation, because it would use negative numbers for the distance <em>s</em> which does not make sense.
Therefore, the domain, in this case, would be all real numbers greater than or equal to zero, but less than or equal to 20.
<em>The reason for this domain is that the ball will go from 20 feet above the ground to zero feet on the ground.</em>
<em />
Using interval notation would be
Is the last number together??
Answer: the area of the garden is 297 ft^2
Step-by-step explanation:
The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. This means that the total distance around the restaurant is 84ft.
Perimeter of a rectangle is expressed as 2(L + W)
L = length of the rectangle
W = width of rectangle.
Since the perimeter is 84ft
2(L + W) = 84
If the length of the garden is 24ft longer than the width of the garden, this means that
L = W + 24
Therefore
2(W +24 + W) = 84
2(2W +24) = 84
4W + 48 = 84
4W =84 - 48 = 36
W = 36/4 = 9
L = W + 24 = 9+24
L = 33 feet
Area if a rectangle is expressed as
Area = L× W
Area = 33 × 9 = 297 ft^2
Answer:
Step-by-step explanation:
well the negative correlations are the number of calories consumed and the amount of weight lost by a person and the thickness of the ice on a lake and the likelihood of falling through the ice.
Negative correlation is defined as an inverse relationship between two entities. If entity 1 increases, entity 2 decreases and if entity 2 increases, then entity 1 decreases.
So the postive are
the temperature outside and the number of pool guests
the number of children assigned to a class and the number of desks
the number of children assigned to a class and the number of desks
the price of apples and the number of giraffes in Africa
