Problem of the Week Problem C
Locate the Fourth Vertex
Quadrilateral BDFH is constructed so that each vertex is on a different side of
square ACEG. Vertex B is on side AC so that AB = 4 cm and BC = 6 cm.
Vertex F is on EG so that EF = 3 cm and FG = 7 cm. Vertex H is on GA so
that GH = 4 cm and HA = 6 cm. The area of quadrilateral BDFH is 47 cm2.
The fourth vertex of quadrilateral BDFH, labelled D, is located on side CE so
that the lengths of CD and DE are both positive integers.
Determine the lengths of CD and DE.
D
E
3
6
F
47 cm
B
7
4
A
てた
6
H 4

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line

How many terms does the polynomial x^2 y^2 have