Answer:
Step-by-step explanation:
Given
-- Objective function
Constraints:
Required
Minimum value of E
To do this, we apply graphical method
See attachment for plots of and
From the attached plot, the point that satisfy is:
So, we have:
This gives:
Answer:
Step-by-step explanation:
*Missing Part of the Question*
4 stars
5 triangles
3 circles
3 squares
Required
Determine the probability of triangle being first then square being second
Represent the triangle with T and square with S
So, we're solving for P(T n S)
Solving for P(T)
Solving for P(S)
The question implies a probability without replacement;
Hence Total has now been reduced by 1
Total = 14
Recall that
Hence, the required probability is
9514 1404 393
Answer:
A. 64 miles per hour
Step-by-step explanation:
In a linear equation, the "unit rate" is generally the coefficient of the variable. The units of the unit rate depend on the definition of the relationship.
Here, the time t is in hours, so the "unit rate" will be <something> per hour. The answer choices suggest that the <something> is "miles". That is, the units of the equation are ...
(miles/hour) × (hours) = miles
With numbers/variables, that is ...
(64 miles/hour) × (t hours) = 384 miles
The unit rate is 64 miles per hour.
Answer
25mm of rain fell each second
Step-by-step explanation:
we know that 500 mm fell in 20 minutes
so, we have to divide 500 by 20 giving us the amount of rain that fell each minute:
500/20 = 25
therefore, 25mm of rain fell each minute
hope this helped:)
Area=legnth times width
so multiply them together use distributive property
a(b+c)=ab+ac so
in this problem
(a+b)(c+d+e)=(a+b)(c)+(a+b)(d)+(a+b)(e)
so
x^2-2 times (2x^2-x+2)=(x^2)(2x^2-x+2)-(2)(2x^2-x+2)=(2x^4-x^3+2x^2)-(4x^2-2x+4)
add like terms
2x^4-x^3+(2x^2-4x^2)-2x+4
2x^4-x^3-2x^2-2x+4
