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Let R × be the group of nonzero real numbers under multiplication. Define H = {x ∈ R ×|x > 0}. Show using the one-step subgroup test that H is a subgroup of R ×

Phylloquinones and menaquinones are natural forms of which vitamin? Vitamin A Vitamin E Vitamin B5 Vitamin D Vitamin K

Angel Corp, currently sells 100,000 units of its product. The company has revenue and costs as shown below: Per UnitTotalSales$10.00$1,000,000Direct Materials3.50350,000Direct Labor2.20220,000Factory Overhead1.10110,000Selling Expenses1.40140,000Administrative Expenses0.8080,000 Total Expenses$9.00$900,000Operating Income$1.00$100,000 The company is approached by an overseas operation that offers to purchase 25,000 units at $7.75 per unit. If Angel accepts the offer, total factory overhead will increase by $25,000; total selling expenses will increase by $12,000; and total administrative expenses will increase by $5,000. Should Angel Corp. accept this offer? What will be the incremental operating income or loss? Please show your work Angel Corp, currently sells 100,000 units of its product. The company has revenue and costs as shown below: The company is approached by an overseas operation that offers to purchase 25,000 units at \( \$ 7.75 \) per unit. If Angel accepts the offer, total factory overhead will increase by \( \$ 25,000 \); total selling expenses will increase by \( \$ 12,000 \); and total administrative expenses will increase by \( \$ 5,000 \). Should Angel Corp. accept this offer? What will be the incremental operating income or loss? Please show your work

Joan and Dick spent 2 weeks (14 nights) touring four cities on the East Coast: Boston, New York, Philadelphia, and Washington. They paid $240, $450, $170, and $100 per night for lodging in each city, respectively, and their total hotel bill came to $4200. The number of days they spent in New York was the same as the total number of days they spent in Boston and Washington, and the couple spent 3 times as many days in New York as they did in Philadelphia. How many days did Joan and Dick stay in each city? (Let x, y, z, and w denote the numbers of days spent in Boston, New York, Philadelphia, and Washington, D.C., respectively.)

0 . Angel is 15 years old and frequently commits property crimes alone late at night. Angel's behavior predicts they will be

offender. a. adolescence-limited b. sexual c. life-course persistent d. violent

In the product life cycle model, at what stage does the innovative country become the net importer of the product a. Stage 2 b. Stage 5 c. Stage 3 d. Stage 4

Problem Set B 1. Evaluate and determine the following limits: a. lim ????→∞ ???? −4−2???? −2−8???? −1−2 7????−3−6????−2+3 [

Question 3 (1 point) These regions of the initial RNA transcripts of eukaryotic genes are spliced out of final mRNAs. exons regulons introns codons

Consider the following synthetic target below, shown in its 3D ball and stick representation. In the diagram, a gray ball indicates a carbon atom, a white ball indicates a hydrogen atom and a red ball indicates an oxygen atom. Assuming the product was made via an aldol condensation, identify the starting material necessary to generate this product. Aldol Condensation