One cubic mile represent the volume of a cube with sides length equal 1 mile
hope this helped
The coefficient is 2 (it is always the number before the variable)
Answer: green = 25/100, red = 1/100
Step-by-step explanation: add ALL of the gumballs, there's your denominator, now you have 0/100 (1+74+25), count the amount of marbles you want to get the probability of, lets say green, there's your numerator (25) = 25/100
Answer:
B. y = 0.097x + 11.142
Step-by-step explanation:
In order to find the best equation to descibe the housing price, we have to calculate the slope of the line first.
The equation of the line can be written as
where m is the slope and q the y-intercept.
In order to have the most accurate estimate for the slope, we use the first point and the last point, that are:
(1900, 196)
and
(2200, 225)
The slope of the line is calculated as:
So, the slope of the line is 0.097.
Therefore, the correct option is the only one having a slope of 0.097, which is:
B. y = 0.097x + 11.142
Basically, what this asks you is to maximize the are A=ab where a and b are the sides of the recatangular area (b is the long side opposite to the river, a is the short side that also is the common fence of both corrals). Your maximization is constrained by the length of the fence, so you have to maximize subject to 3a+b=450 (drawing a sketch helps - again, b is the longer side opposite to the river, a are the three smaller parts restricting the corrals)
3a+b = 450
b = 450 - 3a
so the maximization max(ab) becomes
max(a(450-3a)=max(450a-3a^2)
Since this is in one variable, we can just take the derivative and set it equal to zero:
450-6a=0
6a=450
a=75
Plugging back into b=450-3a yields
b=450-3*75
b=450-225
b=215
Hope that helps!
