\(\displaystyle\therefore\) the 2 middle terms of are \(\displaystyle{\frac{{{56133}{n}^{{{10}}}}}{{{32}{m}^{{{6}}}}}}\) and \(\displaystyle-{\frac{{{168399}{n}^{{{12}}}}}{{{16}{m}^{{{5}}}}}}\)

Question

asked 2021-03-05

Solve the equations and inequalities. Write the solution sets to the inequalities in interval notation. \(\displaystyle{9}^{{{2}{m}-{3}}}={27}^{{{m}+{1}}}\)

asked 2021-07-04

Vince worked 18 hours last week. Part of the time he worked in a fast-food restaurant and part of the time he worked tutoring a high school student in mathematics. He was paid $7.25 per hour working in the restaurant and $15 per hour tutoring. If he earned $161.50, how many hours did he work at each job?

asked 2021-06-10

Water flows through a water hose at a rate of \(Q_{1}=680cm^{3}/s\), the diameter of the hose is \(d_{1}=2.2cm\). A nozzle is attached to the water hose. The water leaves the nozzle at a velocity of \(v_{2}=9.2m/s\).

a) Enter an expression for the cross-sectional area of the hose, \(A_{1}\), in terms of its diameter, \(d_{1}\)

b) Calculate the numerical value of \(A_{1},\) in square centimeters.

c) Enter an expression for the speed of the water in the hose, \(v_{1}\), in terms of the volume floe rate \(Q_{1}\) and cross-sectional area \(A_{1}\)

d) Calculate the speed of the water in the hose, \(v_{1}\) in meters per second.

e) Enter an expression for the cross-sectional area of the nozzle, \(A_{2}\), in terms of \(v_{1},v_{2}\) and \(A_{1}\)

f) Calculate the cross-sectional area of the nozzle, \(A_{2}\) in square centimeters.

a) Enter an expression for the cross-sectional area of the hose, \(A_{1}\), in terms of its diameter, \(d_{1}\)

b) Calculate the numerical value of \(A_{1},\) in square centimeters.

c) Enter an expression for the speed of the water in the hose, \(v_{1}\), in terms of the volume floe rate \(Q_{1}\) and cross-sectional area \(A_{1}\)

d) Calculate the speed of the water in the hose, \(v_{1}\) in meters per second.

e) Enter an expression for the cross-sectional area of the nozzle, \(A_{2}\), in terms of \(v_{1},v_{2}\) and \(A_{1}\)

f) Calculate the cross-sectional area of the nozzle, \(A_{2}\) in square centimeters.

asked 2021-05-23

Write the first five terms of the sequence

\(\left\{\frac{2n-1}{3n+2}\right\}\)

\(\left\{\frac{2n-1}{3n+2}\right\}\)