Answer:
The size of the cardboard should be 
Step-by-step explanation:
The diagram for this question is shown on the first uploaded image
The volume of the box is 
The length and the Width of the card is
L = W = Z
From the question we are told that 7 in squares were cut from each corner
So the length and the width of the box would be
L = W = (Z - 7)
And the height would be H = 7 in
Mathematically the volume of the box can be represented as
So the Volume would be
Substituting values
=> 
Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get
The required equation of the quadratic function is where, a is a constant.
Putting a=1, we get
![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)
Therefore, the required quadratic function is .
Answer: 7
Step-by-step explanation:
Here the given inequality that shows the number of humming birds(H) and the number of sunbirds(S) that must pollinate the colony so it can survive until next year,
6 H + 4 S > 74
If This year, 8 hummingbirds pollinated the colony.
By putting H=8 in the above inequality,
We get,
6× 8 + 4 S > 74
⇒ 48 + 4 S > 74
⇒ 4 S > 26
⇒ S > 6.5
Hence the least number of sunbirds is 7.
6 hours and 40 mins which would be 6:45
To get the answer, we can divide 56 by 5 to find one fifth of the cats. Then, we can multiply this number to get four fifths of the cats. Then, we put this number over 90 since there is 90 pets in the entire show. Then, this answer ends up being about half all of the pets are calicos.
