I because -9 is the smallest number and |6| is the biggest number.
Answer:
Step-by-step explanation:
Let's say
d1 the outflow of the first pump
d2 the outflow of the second pump
V=1 is the volume of the tank
Since the second pump takes twice as long as the first to fill the tank,
Two pumps can fill a pool tank in 26 hours when working together:
How long does it take the first pump alone to fill the tank:
Answer:
A movie: For entertainment!!!
Step-by-step explanation:
Answer: Both of their statements are true. Explanation: If you can buy 5 shirts for $20, that means the unit price would be $4 per shirt. (to find the unit price just divide the cost by the quantity) So, it is true that you can buy one shirt for $4 and 2 shirts for $8. Hopefully this helps.
9514 1404 393
Answer:
split the number into equal pieces
Step-by-step explanation:
Assuming "splitting any number" means identifying parts that have the number as their sum, the maximum product of the parts will be found where the parts all have equal values.
We have to assume that the number being split is positive and all of the parts are positive.
<h3>2 parts</h3>
If we divide number n into parts x and (n -x), their product is the quadratic function x(n -x). The graph of this function opens downward and has zeros at x=0 and x=n. The vertex (maximum product) is halfway between the zeros, at x = (0 + n)/2 = n/2.
<h3>3 parts</h3>
Similarly, we can look at how to divide a (positive) number into 3 parts that have the largest product. Let's assume that one part is x. Then the other two parts will have a maximum product when they are equal. Their values will be (n-x)/2, and their product will be ((n -x)/2)^2. Then the product of the three numbers is ...
p = x(x^2 -2nx +n^2)/4 = (x^3 -2nx^2 +xn^2)/4
This will be maximized where its derivative is zero:
p' = (1/4)(3x^2 -4nx +n^2) = 0
(3x -n)(x -n) = 0 . . . . . . . . . . . . . factor
x = n/3 or n
We know that x=n will give a minimum product (0), so the maximum product is obtained when x = n/3.
<h3>more parts</h3>
A similar development can prove by induction that the parts must all be equal.
