Show that if a b (mod m) and c d (mod m), where a, b, c.

Introductory Chemistry 5
What is the oxidation state of Cl in each ion? (a) \(\mathrm{ClO^-}\) (b) \(\mathrm{ClO_2^{~-}}\) (c) \(\mathrm{ClO_3^{~-}}\) (d) \(\mathrm{ClO_4^{~-}}\) Equation Transcription:

Introductory Chemistry 5
For the reaction shown, calculate the theoretical yield of product in moles for each of the initial quantities of reactants. \(2 \mathrm{Mn}(\mathrm{s})+3 \mathrm{O}_{2}(g) \rightarrow 2 \mathrm{MnO}_{3}(\mathrm{~s})\) (a) 2 mol Mn; 2 mol \(\mathrm{O}_{2}\) (b) 4.8 mol Mn; 8.5 mol \(\m

Classical Mechanics 0
By evaluating their dot product, find the values of the scalar s for which the two vectors b = x + s'Sr and c = x sS7 are orthogonal. (Remember that two vectors are orthogonal if and only if their dot product is zero.) Explain your answers with a sketch.

Organic Chemistry 7
Which is a stronger base? a. \(H S^{-} \text {or } H O^{-}\) c. \(\mathrm{CH}_{3} \mathrm{OH} \text { or } \mathrm{CH}_{3} \mathrm{O}^{-}\) e. \(\mathrm{CH}_{3} \mathrm{COO}^{-} \text {or } \mathrm{CF}_{3} \mathrm{COO}^{-}\) b. \(\mathrm{CH}_{3} \mathrm{O}^{-} \text {o

Organic Chemistry 9
For each pair of ions, determine which ion is more stable. Use resonance forms to explain your answers. (a) CH3 CH CH3 + CH3 CH OCH3 + or (b) + 3 CCH CH3 3 NCH CH3 + 3 CCH CH3 3 CHCH CH3 or (c) CH2 CH CH+ CH3 or CH2 CH CH2 + CH2 (d) CH2 CH3 or 2 NCCH (e) CH2 + CH2 + or (f) O O

Essentials of Human Anatomy & Physiology 11
Define hyperventilation. If you hyperventilate, do you retain or expel more carbon dioxide? What ef- fect does hyperventilation have on blood pH? On breathing rate?

Concepts of Biology 1
Figure 6.4 Which of the following is the correct order of events in mitosis? a. Sister chromatids line up at the metaphase plate. The kinetochore becomes attached to the mitotic spindle. The nucleus reforms and the cell divides. The sister chromatids separate. b. The kinetochore becomes attached to t

Urban Economics 8
Leapfrog city has two rings of vacant land suitable for housing, one that is three miles from the center and a second that at the edge of the city, six miles from the center. Both rings were expected to be developed in the next year. Suppose the city imposes a new development tax of $20,000 per new h