One number is four less than twice another number. If the sum of the two numbers is 116, what is the value of the larger number?

a. 38
b. 40
c. 76
d. 78


c. 76

Mathematics

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Solve the problem.The Redlich-Kwong equation provides an approximate model for the behavior of real gases. The equation is P(V, T) =  - , where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the partial derivative of the function with respect to each variable.

A. PV =  - ; PT =  + 
B. PV =  + ; PT = -  + 
C. PV =  - ; PT =  + 
D. PV =  + ; PT =  - 

Mathematics

Graph the line containing the point P and having slope m.P = (-3, 2); m = -  

A.

B.

C.

D.

Mathematics

Solve the problem by estimating.Andy wants to buy a refrigerator for $899, a stove for $459, and a dishwasher for $549. Round each cost to the nearest hundred to estimate the total cost.

A. $1900 B. $1700 C. $2000 D. $1800

Mathematics

Provide an appropriate response.The payoff table for three possible courses of action A1, A2, and A3 is given below.pi?A1xi?A2xi?A3xi?.3$70$40$50.2$100$120$110.1$160$140$90.4$80$140$160Which course of action will produce the largest expected value? What is it?

What will be an ideal response?

Mathematics