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Questions in mathematics

📝 Answered - Identify the variable expression for the relationship below: the sum of 5 and the square of a number. A. [tex]$5^2 n$[/tex] B. [tex]$(5 n)^2$[/tex] C. [tex]$5+n^2$[/tex] D. [tex]$(5+n)^2$[/tex]

📝 Answered - What is the solution to [tex]$\log 25 x=3$[/tex]? A. [tex]$x=\frac{3}{25}$[/tex] B. [tex]$x=\frac{8}{25}$[/tex] C. [tex]$x=35$[/tex] D. [tex]$x=40$[/tex]

📝 Answered - Solve for x. $(t)^2-(t+4)-12=0$ Find the distance between the points: $(-8,2)$ and $(4,-8)$

📝 Answered - The average healthy female chicken will lay an average of 275 eggs per year with a population standard deviation of 12.5 eggs. The FRCC Biology club is conducting an experiment where each member will "adopt" one egg laying chicken for the year and observe their development and egg production. There are 45 members of the club. Use Excel functions to answer the following questions about the average of the [tex]$45$[/tex] chickens adopted by the club. What is the probability that the average number of eggs laid by the club chickens is fewer than 260 eggs this year?

📝 Answered - What is the absolute value of the complex number $-4-\sqrt{2}$?

📝 Answered - The volume of a fish tank is 40 cubic feet. If the density is [tex]$0.4 \frac{\text { fish }}{\text { feet }^3}$[/tex], how many fish are in the tank?

📝 Answered - Using only the values given in the table for the function [tex]f(x)=-x^3+4 x+3[/tex], what is the largest interval of [tex]x[/tex] values where the function is increasing? ([tex]\square[/tex] , [tex]\square[/tex])

📝 Answered - Don's credit score is 777, while Zelda's credit score is 709. According to the following table for a $150,000 mortgage, how much more would Zelda have to pay per month than Don? | FICO Score | Interest Rate | Monthly Payment | |---|---|---| | 720-850 | 5.59% | $860 | | 700-719 | 5.71% | $872 | | 675-699 | 6.25% | $924 | | 620-674 | 7.40% | $1039 | | 560-619 | 8.53% | $1157 | | 500-559 | 9.29% | $1238 | A. $12 B. $64 C. $52 D. $115

📝 Answered - (a) In 1985, five firms registered the following economic growth rates: 28%, 32%, 41%, 18%, and 36%. Calculate the geometric mean growth rate.

📝 Answered - The volume of the following cube is 4,096 mm³. Determine the surface area of the cube.