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Evaluate: -2 x 5 + ((-1)^3 - 2)^2 (NOTE) The negative 1 is in a parenthesis by itself.
List any four situations where variables can be used to replace number; convert each situation into an algebraic expression.
A woman buys three board games for $107.10, including tax. If each board game cost $34, what was the sales tax rate?
A car travels 910 mi at a certain speed. if the speed had been 5 miles per hour faster, the trip would have been made in 1 hr less. Find the speed.
Write a quadratic equation in the variable x using the given numbers. Type it in standard form ax^2 + bx + c = 0, where a, b, c are integers (no fractions).
A record for free-fall to the ground without a parachute is 175 ft. How long did the fall take, using the formula s=16t^2.
Solving systems of Equations.Please help with the following problems. Provide step by step calculations.
Show that the quaternion group Q2 cannot be expressed as a semidirect product of two non-trivial subgroups.
If 400 cups were sold for a total of $1,458, how many cups of each type were sold? What was the dollar value of each type of cup sold?
What factors might make the assumption of exponential growth a faulty assumption?
List at least seven keywords that are representative of the problem and that you will use to guide your information search.
System of differential equations.Is the equilibrium point stable or unstable?
Avoiding a collision. A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing.
State the domain of the following and provide a brief explanation for your answer
Substitute the two integers immediately to the left and right of h into the function to find the corresponding y. Fill in the following table
Translate the sentence to an equation and solve it Six less than eight times a number is equal to that number added to one.
The bank statement for Burton Co. revealed a balance of $1,475.00 while the checkbook balance showed a balance of $1,822.00.
An artist wants her painting to be in the shape of a golden rectangle. If the length of the painting is 36 inches, then what should be the width?
The members want to find five more people to join the club so that the cost per person will decrease by $2000.
Given the function f describe by f(x)=x+10.
A school is being designed with three identical building-wide fire alarm systems. The reliability of each fire alarm systems is 0.995.
Show that if m is a number having primitive roots, then the product of the positive integers less than or equal to m and relatively prime to is congruent .
What is the discriminant? When do you use quadratic formula to solve a quadratic equation?
Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.
Indicate, by checking the appropriate box, whether the given points are on line 1, on line 2, on both line 1 and line 2, or on neither one of the two lines: