First we would change the fractions into decimals and compare them. That way it would be easy to solve when needed.
1/2=0.50
5/8=0.625
1/8=0.125
Now we can see that 1/8 (0.125) is the smallest, followed by 1/2 (0.50), and 5/8 the largest. Now we can match the sizes with the insects.
Since the tiger beetle is the largest we will place that with the length of 5/8 since that is the largest.
The carpenter ant is second largest so it would be matched with 1/2
The aphid is the smallest so that would be with 1/8 as the smallest
*Hope that helped :D*
X is the domain and y is the range
The expression that gives an angle that is coterminal with 300 is 300-720. Two angles are said to be coterminal if when they are drawn in a standard position, their terminal sides are on the same location. The expression gives an angle of 420 where when it is drawn the terminal sides are on the same location with the 300.
Someone asked the same question here before, check it out
Answer:
all real numbers
Step-by-step explanation:
you can create any value for y with a value for x, hence the range is "everything".
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
