Analyze how progress in scientific research will affect religious beliefs and practices over the next twenty five years.

Water is the working fluid in a reheat-regenerative Rankine cycle with one closed feed water heater and one open feed water heater. Steam enters the turbine at $1400 lbf/in.^2$ and $1000^\circ F$ and expands to $500 lbf/in.^2,$ where some of the steam is extracted and diverted to the closed feedwater heater. Condensate exiting the closed feedwater heater as saturated liquid at $500 lbf/in.^2$ undergoes a throttling process to $120 lbf/in.^2$ as it passes through a trap into the open feed water heater. The feedwater leaves the closed feedwater heater at $1400 lbf/in.^2$ and a temperature equal to the saturation temperature at $500 lbf/in.^2$ The remaining steam is reheated to $900^\circ F$ before entering the second-stage turbine, where it expands to $120 lbf/in.^2$ Some of the steam is extracted and diverted to the open feedwater heater operating at $120 lbf/in.^2$ Saturated liquid exits the open feedwater heater at $120 lbf/in.^2$ The remaining steam expands through the third-stage turbine to the condenser pressure of $2 lbf/in.^2$ The turbine stages and the pumps each operate adiabatically with isentropic efficiencies of 85%. Flow through the condenser, closed feedwater heater, open feedwater heater, steam generator, and reheater is at constant pressure. The net power output of the cycle is $1 \times 10^9 Btu/h.$ Determine for the cycle a. the mass flow rate of steam entering the first stage of the turbine, in lb/h. b. the rate of heat transfer, in Btu/h, to the working fluid passing through the steam generator, including the reheat section. c. the thermal efficiency.

Write the prime factorization of the number. 104

How does the sociological definition of religion differ from how you previously thought of religion?

Prove that there is a mapping from a set to itself that is one-to-one but not onto iff there is a mapping from the set to itself that is onto but not one-to-one.

How do sociologists manage to study religion if they can't see the spiritual world?

Multiply. -50(-5)

Find an equation of the tangent plane to the graph of the given equation at the indicated point. $z=8 e^{-2 y} \sin 4 x ;(\pi / 24,0,4)$

Solve 6 - x - 3 = 4x - 12 for x, recording your steps as you work.

Find the number of permutations.

$$_9P_1$$

A freight train travels at v = 60(1- e^-t) ft/s, where t is the elapsed time in seconds. Determine the distance traveled in three seconds, and the acceleration at this time.

Is the following function continuous?

$$f ( x , y ) = \left\{ \begin{array} { l l } { x ^ { 2 } + y ^ { 2 } } & { \text { if } x ^ { 2 } + y ^ { 2 } < 1 } \\ { 1 } & { \text { if } x ^ { 2 } + y ^ { 2 } \geq 1 } \end{array} \right.$$

Find the volume swept out by revolving the region bounded by the x-axis and one arch of the cycloid x = t - sin t, y = 1 - cos t about the x-axis.

Evaluate the expression.

$$- \sqrt { 36 }$$