Consider a 5x5 chessboard. Prove that no matter how the 25 cells are colored in red...

Consider a 5x5 chessboard. Prove that no matter how the 25 cells are colored in red and blue (each cell is either red or blue), there exist 4 cells of the same color whose centers determine a rectangle with sides parallel to the sides of the board. Is the statement true for a 4x4 chessboard? What about 4x6 chessboard?

Expert Solution

Colby Messinger answered 2 years ago

How can i recognize red blood cells that have undergone cremation? How can i recognize red...

How can i recognize red blood cells that have undergone cremation? How can i recognize red blood cells that have undergone lysis? How can I recognize red blood cells that have undergone plasmolysis? How does molecule size and dialysis tubing pore size determine whether a molecule can successfully diffuse into or out of a dialysis tubing bag?

For these different type of red blood cells , please include how they would look under...

For these different type of red blood cells , please include how they would look under the microscope. Examples include talking about size,shape,color or the cell/center of the cells. Also any abnormalities to them and any other observations would be helpful! Pernicious Anemia Iron Deficiency Anemia Thalassemia Major Ovalcytosis Spherocytosis Hemoglobin C

What is the fundamental difference in how matter and energy move through an ecosystem? Consider the...

What is the fundamental difference in how matter and energy move through an ecosystem? Consider the laws of thermodynamics and the law of conservation of matter in your response. How does energy transfer constrain the number of trophic levels in an ecological community?

1) Explain how morphology of sickle cell red blood cells is different from morphology of healthy...

1) Explain how morphology of sickle cell red blood cells is different from morphology of healthy red blood cells

Describe in 3-4 sentences how the hemoglobin (Hb) in red blood cells delivers more oxygen to...

Describe in 3-4 sentences how the hemoglobin (Hb) in red blood cells delivers more oxygen to active cells, than cells at rest. Include, differences in partial pressure, pH, and [carbon dioxide]. (There might be a very small effect of temperature, but you can leave it out because it is a minor contributor in humans.)

Describe why destruction of red blood cells by the malarial parasite can cause kidney failure? How...

Describe why destruction of red blood cells by the malarial parasite can cause kidney failure? How would destruction of red blood cells cause internal bleeding?

1. Consider the following function F(x) = {2x / 25 0<x<5 {0 otherwise a) Prove...

1. Consider the following function F(x) = {2x / 25 0<x<5 {0 otherwise a) Prove that f(x) is a valid probability function. b) Develop an inverse-transformation for this function. c) Assume a multiplicative congruential random number generator with parameters: a: 23, m: 100, and xo: 17. Generate two random variates from the function for (x).

When deciding how to respond to discrimination, it is important to consider: Question 25 options: The...

When deciding how to respond to discrimination, it is important to consider: Question 25 options: The level of risk for yourself and others Your understanding of the social injustice in question Your power in the situation All of the above Marginalized youth who have higher levels of critical consciousness are more likely to experience positive life outcomes. Which of the following is a possible explanation for this? Question 26 options: Critical consciousness cultivates communication skills Critical consciousness cultivates strategic thinking...

Question 3: Consider a 25 factorial design. (a) How many factors and levels are considered in...

Question 3: Consider a 25 factorial design. (a) How many factors and levels are considered in this factorial experiment? (b) Show all the 32 treatment combinations using a, b, c, d, and e. (c) Suppose you are not able to complete all 32 experiments in a day but you believe 16 experiments can be done in a day. How many blocks do you need under this situation? (d) Revisiting part (c), which interaction effect would be confounded with the blocks?...

11. How do cells transform energy? Consider the first and second law of thermodynamics. 12. Describe...

11. How do cells transform energy? Consider the first and second law of thermodynamics. 12. Describe the chemical reactions that either release or stores energy. Remembering that energy must be conserved. what do you think happens to the energy we obtain from food during cellular respiration? photosynthesis? 13. What is this energy that drive ALL cellular work? Is it a renewable source? 14. Explain how ATP transfers energy from exergonic to endergonic processes in the cell. 15. How do enzymes...

Question