Answer:
The inequality for each quantity described is given as follows;
0 ≤ A + B + C + D + E ≤ 50
Step-by-step explanation:
The given information are;
The number of players each team can have = between 3 and 5
The maximum number of points a player can score in each round of the game = 10 points
The number of players in Elena's team = Elena + 4 = 5 players
The total number of points Elena's team earns at the end of the round is given as follows;
0 ≤ A + B + C + D + E ≤ 5 × 10
Where the variables A, B, C, D, and E are the points each of Elena and are makes such that the minimum points is 0 + 0 + 0 + 0 + 0 = 0 and the maximum point is 10 + 10 + 10 + 10 + 10 = 5 × 10 = 50, which gives;
0 ≤ A + B + C + D + E ≤ 50.
Answer:
The area of the rectangle is increasing at a rate of
.
Step-by-step explanation:
Given : The width of a rectangle is increasing at a rate of 2 cm/ sec. While the length increases at 3 cm/sec.
To find : At what rate is the area increasing when w = 4 cm and I = 5 cm?
Solution :
The area of the rectangle with length 'l' and width 'w' is given by 
Derivative w.r.t 't',

Now, we have given




Substitute all the values,



Therefore, the area of the rectangle is increasing at a rate of
.
Answer:
3.8
Step-by-step explanation:
the absolute value of any negative number is going to be positive.
Answer:
A = -12, B = 9 and C = .2
Step-by-step explanation:
So it just looks like we need to use algebra to move everything around to get it in the form Ax + By = C
So, let's start with 9y = 12x + 0.2. From standard form we have all terms wth variables on one side, so let's do that. the right sie has both a variable term and non variable term, so let's get rid of the variable term. The variable term is 12x, so to get rid of it you subtract 12x from both sides.
9y = 12x + 0.2
9y - 12x = 0.2
To make it exactly in standard form just rarrnge.
-12x + 9y = 0.2
So now we have A = -12, B = 9 and C = .2
Answer:
Tran's hamster is faster as it took his hamster 19 seconds which is 4 seconds faster than Maria's hamster. I know this because the data shows Maria's hamster took 19 second and Tran's took 15 seconds to run through the maze hence Maria's hamster was slower and Tran's won. You can use the calculation 19-15=4 so the difference is 4.