Answer:
72
Step-by-step explanation:
In order to find the acceleration we need first to defined it, so:
acceleration=((final velocity)-(initial velocity))/time interval
But (vf-vi) actually represents the velocity change, so (vf-vi)/dt represents the velocity change rate. This means that in our case:
In conclusion the acceleration is , without units just 72.
Answer:
(3+2)
Step-by-step explanation:
Perimeter of a square = 4L
L is the length of one side of the square
Given the expression 12 + 8 that represents the perimeter of a square, factoring out 4 from both terms;
12 + 8
= (4*3)+(4*2)
= 4(3+2)
Comparing with 4L
4L = 4(3+2)
Divide both sides by 4
4L/4 = 4(3+2)/4
L = (3+2)
Hence the expression that represents one side of the square is (3+2)
If you were to rotate the flag to the right you will see that the inside seams of the shadow box are the same length as the edges of the folded flag. Meaning that if we were to just consider the length measurements of the folded flag then the flag would fit. However, we are also given the degree of which the point of the flag is folded, so we need to make sure that matches with the degree angle of the shadow box. The angles are the same therefore the folded flag should fit perfectly into the shadow box.
Number of zids=x
number of zods=y
number of zid legs=5x
number of zod legs=7y
so
5x+7y=140
try to get it into slope intercept from so you can graph is (y=mx+b)
5x+7y=140
subtract 5x from both sides
7y=140-5x
divide both sides by 7
y=20-5/7x
y=-5/7x+20
plug in numbers for x and get numbers for y (you can only plug in multiples of 7 for x so that there are a whole number of zids and since you are counting, x and y must never be negative)
lets try 0 for x
y=-5/7(0)+20
y=20
so x=0 and y=20 is an answer (if you can have only one of that species)
lets try 7 for x
y=-5/7(7)+20
y=-5+20
y=15
so x=7 and y=15 is an answer
lets try 14 for x
y=-5/7(14)+20
y=-10+20
y=10
so x=14 and y=10 is another answer
lets try 21 for x
y=-5/7(21)+20
y=-15+20
y=5
so x=21 and y=5 is another answer
lets try 28 for x
y=-5/7(28)-20
y=-20+20
y=0
so x=28 and y=0 is an answer (if there can be only one of a species)
if we go further, then y will be negative so the answers are
(x,y)
(0,20)
(7,15)
(14,10)
(21,5)
(28,0)
if it is allowed that only one species exists then there are 5 possible answers
if both must exist simultaneously, then there are only 3 answers
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