If the first roll is a 4, the possibilities to add less than 8 are that the second cube roll is 1, 2 or 3.
These are 3 different events out of 6 possilbe ones, which is 3 / 6 = 1 / 2; i.e. half of times.
Then the answer is the first option: 1 / 2
Answer: the first one is irrational because it is a repeating fraction.
the third is square root of 7 is less than 14/5
the fourth is negative 5 over 6, negative 5, negative 31 over 6, negative square root 26
Step-by-step explanation: Hope this helps !
Answer:
B would be (-1, -2)
C would be (-1, 1)
A would be (-4, -2)
Step-by-step explanation:
The ordered pairs are affected by the y value. The X value stays the same since you didn't move the shape any to the right or left. The y values went down three on all of the points because you moved the whole shape down three spots.
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Answer:
2500 Square meters
Step-by-step explanation:
Given the garden area (as a function of its width) as:

The maximum possible area occurs when we maximize the area. To do this, we take the derivative, set it equal to zero and solve for w.
A'(w)=-2w+100
-2w+100=0
-2w=-100
w=50 meters
Since Marquise has 200 meters of fencing to build a rectangular garden,
Perimeter of the proposed garden=200 meters
Perimeter=2(l+w)
2(l+50)=200
2l+100=200
2l=200-100=100
l=50 meters
The dimensions that will yield the maximum area are therefore:
Length =50 meters
Width=50 meters
Maximum Area Possible =50 X 50 =<u>2500 square meters.</u>
Answer:
c = 25.1
Step-by-step explanation:
C = 2
C = 2 
C = 25.1
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