Equations, Expressions, and Inequalities Q&A: Get Expert Help and Learn from Real-World Examples

The intensity I of light varies inversely with the square of the distance d from the source, expressed in the equation l=k/d^2. If the intensity is 1/2 of a candela 16 feet from the source, what is the constant of proportionality
A. 256 candela- square- feet
B. 32 candela- square- feet
C. 2 candela- square- feet
D. 128 candela- square- feet

Solve the equation: $\frac{3}{8}(x-<!--\; -\; -->8)+\frac{1}{8}x=-<!--\; -\; -->\frac{1}{2}(x-<!--\; -\; -->7)$

1x + 1x= 3 what is x?

in the last year, a total of 2741 earthquakes occublack in the country. of these, 85.3% were minor tremors with magnitudes of 3.9 or less on the Richter scale. how many occublack last year? round to the nearest whole number.

Lucas wins $50000 (after taxes) in the lottery and decides to invest half of it in a 5-year CD that pays 5.35% interest compounded quarterly (4 times/year). He invests the other half in a money market fund that unfortunately turns out to average only 2.6% interest compounded annually over the 5-year period. How much money will he have altogether in the two accounts at the end of the 5-year period?

Simplify (6 ? i)(2 + i).
A. 13 ? 8i
B. 11 + 4i
C. 11 + 8i
D. 13 + 4i

Lisa earns $10 an hour for the first 36 hours she works in a week and $15 an hour for every hour after that. Each week she has $140 deducted from her check for income taxes and retirement. If she works 44hours in one week , what is her take home pay?

For which values of k does
kx + y = 1
x + ky = 1
have no solution, one solution, or infinitely many solutions? In each case, explain why.

If a small oriental rug measures 3meters by 4meters, how many square feet does the rug contain

A part-time movers job regular pay rate is 60$ an hour. If the work involves going up and down stairs, his rate increases to 90$ an hour. In one week her earned $1,380 and worked 20 hours. How many hours did he work at each rate?

A person travels uphill at 15 mph for 12 minutes. They travel downhill at 30 mph. What is their average speed for the journey?

The finishing stage of the manufacture of an automobile requires painting, drying, and polishing. The Rome Motor Company produces three types of cars: the Centurion, the Tribune, and the Senator. Each Centurion requires 8 hours for painting, 2 hours for drying, and 1 hour for polishing. A Tribune requires 10 hours for painting, 3 hours for drying, and 2 hours for polishing. A Senator requires 16 hours for painting, 5 hours for drying, and 3 hours for polishing. If the company uses 224 hours for painting, 64 hours for drying, and 38 hours for polishing in a given month, how many of each type of car are produced?

Determine whether the given value is a solution of the equation.
$\frac{6}{x+1}-<!--\; -\; -->\frac{1}{2}=\frac{1}{4x+4}$
$x=?$

year- 1970 1980 1990 2000 2010
Expenditures- 21043 56914 134656 236784 461000
Using interpolation, the estimated expenditure for 1975 is____ million dollars?
Using interpolation, the estimate expenditure for the year 1991 is______ million dollars?

x=(y+2)^2 shifted three units upward and four units to the left. Discuss how this transformation affects the equation by rewriting the equation to incorporate those numbers.

Rewrite the expression in terms of $\log <!--\; \; -->(3)$ and/or $\log <!--\; \; -->(5)$.

Develop a real life scenario that illustrates the order of operations. It should include a mathematical expression that represents your unique scenario and a step by step explanation of how the order of opreration is used to find your answer.

Write the following numbers in order from smallest to largest.
0.06 , 0.04 , 0.064 , 0.046 , 0.006 , 0.004

if (a,-4) is a point on a graph y=x^2+5x then what is a?

Solve
1. $|x|=7$
2. $|x|+4=6$
3. $|m-<!--\; -\; -->5|=4$
4. $|m+9|=-<!--\; -\; -->3$