Numerade

Questions asked

INSTANT ANSWER

The supply and demand curves for a new widget are shown in the graph. Notice there are two demand curves. The original demand curve is $d_{1}$ . Months after the product was introduced, there was a possible health concern over use of the product, and demand dropped to the new demand curve, $d_{2} .$ The movement of the demand curve is called a shift. a. What was the equilibrium price before the demand shift? b. What was the equilibrium quantity before the demand shift? c. What was the equilibrium price after the demand shift? d. What was the equilibrium quantity after the demand shift? e. Express algebraically the difference in quantity demanded at price b before and after the shift. f. Copy a rough sketch of the graph into your notebook. Label the curves. Where would the demand curve have shifted if a health benefit of the new widget was reported?

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ANSWERED

Daniel Alva

Numerade educator

A radioactive sample contains two different types of radio-active nuclei: A, with half-life 5.0 days, and B, with half-life 30.0 days. Initially, the decay rate of the A-type nucleus is 64 times that of the B-type nucleus. When will their decay rates be equal?

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Juan Nicolás

Numerade educator

What is the difference between the supply and the quantity supplied of a product, say milk? Explain in words and show the difference on a graph with the supply curve for milk.

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INSTANT ANSWER

Express each of these statements using quantifiers. Then form the negation of the statement so that no negation is to the left of a quantifier. Next, express the negation in simple English. (Do not simply use the phrase “It is not the case that.”) a) Every student in this class has taken exactly two mathematics classes at this school. b) Someone has visited every country in the world except Libya. c) No one has climbed every mountain in the Himalayas. d) Every movie actor has either been in a movie with Kevin Bacon or has been in a movie with someone who has been in a movie with Kevin Bacon.

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INSTANT ANSWER

Darlene purchases $\$ 20,000$ worth of stock on her broker's advice and pays her broker a 1.5$\%$ broker fee. She sells her stock when it increases to $\$ 28,600$ two years later, and uses a discount broker who charges $\$ 21$ per trade. Compute Darlene's net proceeds after the broker fees are taken out.

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Tracy Tourville

Numerade educator

Administration of digitalis, a drug used to control atrial fibrillation in heart patients, must be carefully controlled because even a modest overdosage can be fatal. To take differences between patients into account, drug dosages are prescribed in terms of mg/kg body weight. Thus, a child and an adult differ greatly in weight, but both receive the same dosage per kilogram of body weight. At a dosage of 20$\mu g / k g$ body weight, how many milligrams of digitalis should a 160 lb patient receive?

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David Collins

Numerade educator

Gallium has two naturally occurring isotopes with the following masses and natural abundances:

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Helium gas with a volume of 3.20 L, under a pressure of 0.180 atm and at 41.0$^\circ$C, is warmed until both pressure and volume are doubled. (a) What is the final temperature? (b) How many grams of helium are there? The molar mass of helium is 4.00 g/mol.

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Darshan Maheshwari

Numerade educator

Revenue Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is $p$ dollars, the revenue $R($ in dollars) is $$ R(p)=-4 p^{2}+4000 p $$ (a) At what prices $p$ is revenue zero? (b) For what range of prices will revenue exceed $\$ 800,000 ?$

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INSTANT ANSWER

Suppose two phosphate groups in DNA (each with a charge of -1 ) are separated by 12 A. What is the energy of the ionic interaction between these two phosphates assuming a dielectric constant of $80 ?$ Repeat the calculation assuming a dielectric constant of 2

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Alex T.