A rocket is launched from the ground and follows a parabolic path represented by the equation y=-x(squared)+10x. at the same time, a flare is launched from a height of 10 feet and follows a straight path represented by the equation y=-x+10. Using the accompanying set of axes, graph the equations that represent the paths of the r
A rocket is launched from the ground and follows a parabolic path represented by the equation y=-x(squared)+10x. at the same time, a flare is launched from a height of 10 feet and follows a straight path represented by the equation y=-x+10. Using the accompanying set of axes, graph the equations that represent the paths of the r
How do I solve an equation with 2 logarithms added on the left-hand side and only a number on the right-hand side? The process is shown using the example log4(x+4)+log4(x-8)=3.
Derive the generic formula for the roots of a quadratic equation including conditions for which the there are two distinct real roots, one real and equal root and complex/unreal roots. Examples of each are presented.
Jeff's Gas Station sells regular unleaded gasoline for a dollar per gallon and premium gasoline for $1.76 less than twice the amount of regular unleaded gasoline. What is the cost of 1 gallon of premium gasoline?
If f(x)=x squared -2, then f(a+2) = ?
Solve: log 8 + log 2 = ?
What are all the real values of x that are solutions for the inequality |x-2| less than or equal to 6?
Please address the following question: Find the distance between the points (5,9) and (-2,9).
Write cos(arccosx + arctany) as an algebraic expression in x and y.
Write sec(arcsinx) as an algebraic expression in x.
Solve the open sentence. If there are no solutions or if it is true for all real numbers then indicate so. x + 11 < -1 or -1/2x < -4
(a) Let F = { (matrix with first row; a 0, second row is 0 a) : a is an element of R Show that F is a field and that F ~= R (b) Give the definition of a cyclic group Prove that every subgroup H of a cyclic group G =<a> is itself cyclic
Pretend the paper is 1/1000 of an inch thick and suppose we could fold the paper 50 times. How many miles tall would it stand?
Problems related to exponential and Logarithmic Functions
If x times 5 gives the same result as x less than 5, what is the value of x? (A)5 (B)6 (C)4/5 (D)5/6 (E) -5/4
The number of bacteria N in a culture is given by the model N=250e^kt, where t is the time in hours, with t=0, corresponding to the time when N=250. When t=10, there are 280 bacteria. How long does it take the population to double in size? To triple in size?
Determine the price index for a product that sold for $8.99 in 1999, compared to $6.99 in 1996. a. 77.75 b. 122.25 c. 128.61 d. 177.75
A manufacturer reports the production of 120,000 units in the third quarter of the year. This is an increase of 15,000 units over production in the second quarter. What was the rate of increase for the period? a. 11.11% b. 12.5% c. 14.29% d. 15%
A jetliner has completed 225 miles of a 3000-mile flight. At an airspeed of 475 mi/h, how long will it take the jetliner to reach its destination?
A state college has a total freshman enrollment of 2,200 students, of whom 42% are male. If the remainder of the total school enrolment of 6,800 students is divided evenly between male and female, determine the total male enrollment in the school.
A start-up firm's sales increased by 350% from its first year of operation to its third year total of $1.68 million. What were its total sales in its first year of operation?
A car has a tank that holds 12 3/8 gallons of gasoline. Mr. Brown fills his tank and drives along the highway until he runs out of gas. If his car averages 19 2/5 mpg, how far has he traveled?
Four partners, A,B,C,D, invest in the ratio of 5:3:3:1 in their firm. If partner A invests $20,000, what is the total invested?
A firm's sales for the month total $30,000. If the ratio of cash to credit sales is 2:3, cash sales total = ?
7:x = 9:27; x = ?
Pick a number from 1 to 9 (0<x<10). Multiply it by 2. Then add 3 to the result. Now multiply this number by 50, then add 1853 and subtract the year of you birth. You now should have a 3 digit number. The first digit is the number you picked above, and the last 2 digits are your age after your birthday this year (2003). How is t
Solve for t: 1.) 7*(4^t)=9 2.) 2^(t+1)=5^(t-3)
Square root of 100 plus the square root of 200 plus the square root of 300 multiplied by the square root of 400 equals ?
-4x+3=0 What are the roots?