Numerade

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2. (5 pts) Let $A$ and $B$ be a square matrices of order $n$. Prove $\mathcal{N}(A) \cap \mathcal{N}(B) \subseteq \mathcal{N}(A+B)$ by filling in the blanks and justifying each step of your proof one line at a time corresponding to each equal symbol. Need to Prove (NTP) that $x \in \mathcal{N}(A+B)$ when $x$ is an arbitrary vector in $\mathcal{N}(A) \cap \mathcal{N}(B)$. Proof: Assume $x$ is an arbitrary vector in $\mathcal{N}(A) \cap \mathcal{N}(B)$. This means $Ax = 0$ and $Bx = 0$ holds true. Consider $(A+B)x$ $= Ax + Bx$ $= 0 + 0$ $= 0$ $\therefore (A+B)x = 0$ holds true for every $x$ in $\mathcal{N}(A) \cap \mathcal{N}(B)$. Thus, $x \in \mathcal{N}(A+B)$ Hence, $\mathcal{N}(A) \cap \mathcal{N}(B) \subseteq \mathcal{N}(A+B)$.

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10) Which of the following is most likely to cause a decrease in the demand for gas cars? A) a decrease in the price of gasoline B) a decrease in the price of gas cars C) an increase in the price of gasoline D) an increase in the price of electric cars

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Fox, B. (2014). Phonics & Word Study for the Teaching of Reading (Eleventh Edition). New York: Pearson

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Positive point charges q and 2q are located at x = 0 and x = 3d, respectively. What is the electric field at x = d (point P)?

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What is the free energy change ( Delta G ) of the hydrolysis of ATP to ADP?

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Using the sociological imagination, rising tuition costs would be best approached in terms of Select one: a. a personal trouble. b. a political problem. c. a social issue. d. an economic reality.

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2. For each of the following types of partition, • give the generating function, and • list the relevant partitions of 7. (a) No restrictions. (b) All parts are even. (c) At least one part is even. (d) No part occurs more than four times. (e) 5 is a part, but 2 is not. (f) The number of parts equal to 1 is odd.

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Coronado Industries has gathered the following information concerning one model of shoe: Variable manufacturing costs $50000 Variable selling and administrative costs $36000 Fixed manufacturing costs $160000 Fixed selling and administrative costs $120000 Investment $1500000 ROI 30% Planned production and sales 6000 pairs What is the total cost per pair of shoes? $35 $61 $87 $122

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1. Explain about concentration polarization. What factors are affecting the concentration polarization and what will be negative effect due to this polarization? 2. Explain about scaling. What factors are affecting scaling and what will be negative effect due to scaling? 3. Look at below chart. Explain it using solution diffusion model.

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Give an example of a statement that empiricist foundationalism would claim is not foundational. Clearly explain why this theory would argue the statement is not foundational.

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brian f.