7989

Chemistry Organic Chemistry Level: Misc Level

Draw complete structures for;

(a)1,1,1-trichloro-5,5-dimethyl-2-octanone

(b) z-2,3-dichloropropenal




7988

Chemistry Organic Chemistry Level: Misc Level

Provide IUPAC names (absolute configuration, too!) for; CH3O and CH2CH3CH2OCl




7987

Mathematics Algebra Level: Misc Level

Tickets to an opera at the Masonic Auditorium cost $14 for main floor seats and $10 for the balcony seats.If $8600 must be collected to meet expenses, what is an equation for the possible combinations of ticket sales to cover costs?




7986

Mathematics Functions Level: Misc Level

Determine a linear function f(x), given f(2)=0.5;f(1)=-1.




7985

Mathematics Algebra Level: Misc Level

Determine the linear function f(t) with slope=-1 and f(2)=1.




7984

Economics Demand And Supply Level: Misc Level

Suppose consumers will demand 30 units of a product when the price is $12 per unit and 22 unitswhen the price is $16 each.Find the demand equation assuming that it is linear.




7983

Economics Demand And Supply Level: Misc Level

Suppose that consumers will demand 100 units of a product when the price is $10 per unit, and 120 units when the price $8 per unit. Assuming that price p and quantity q are linearly related, find the price at which 90 unit are demanded.

A)$12 B)$11 C)$7 D)$9 E)$ 13




7982

Mathematics Algebra Level: Misc Level

Suppose q and p are linearly related such that p=30 when q=5, and p=50 when q=7. Find p=when q=15.

A)130 B)100 C)140 D)110 E)120




7981

Mathematics Functions Level: Misc Level

Suppose f (0)=4 and f (3)=8. Find f(12) if f is a linear function.

A)6 B)20 C)24 D)-3 E)13




7980

Mathematics Functions Level: Misc Level

Suppose f is a linear function with slope 2 and f (1)=3. Find f(2).

A)1 B)2 C)3 D)4 E)5




7977

Mathematics Algebra Level: Misc Level

A cubic shipping container had a volume of v3 cubic meters. The height of the container was decreased by a whole number of meters and the width was increased by a whole number of meters so that the volume of the container is now v3+ 2v2-3v.Find out the following;

a. By how many meters the height was decreased?

b. By how many meters the width was increased?




7976

Mathematics Calculus Level: Misc Level

The total profit(,p,in dollars) for sales of ,x, machines is given by p(x)=-0.2x2+300x-200. Find the following;

a.The profit if 500 machines are sold.

b.How many machines must be sold for maximum profit?




7975

Mathematics Calculus Level: Misc Level

The monthly profit p (in dollars) that Jim makes on the sale of x mobile homes is determined by the formula p=x2+5x-50.Find the values of x for which Jim makes profit.




7974

Mathematics Calculus Level: Misc Level

Q 19;A company uses the cost function C (w)= 0.04 w2-6.0 w+ 275 to model the unit cost in dollars for producing w widgets. Find;

a.How many widgets the company needs to make to achieve minimum unit cost?

b.What is the minimum unit cost?




7973

Mathematics Calculus Level: Misc Level

A soccer ball is kicked straight up with an initial velocity of 32 ft.per second. Its height above the earth is given by s(t )= -16t+32t, where,s, is the height in ft. at any time,t,seconds.

a.What is the maximum height reached by the ball?

b.How long after it was thrown up the ball reaches its maximum height?


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