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1. A cellular phone tower with a range of 25 units is located on a coordinate grid at (10, 35). Write an equation that describes its position and range.
When submitting an answer in the form of an exponent, use a caret (^) to indicate the power. For example, 53 would be written as 5^3.
Write the standard equation of each circle. When submitting an answer in the form of an exponent, use a caret (^) to indicate the power. For example, 53 would be written as 5^3.
2. center (0, -6); radius
3. center (3, 2); diameter 18
4. center (-9, 5); passing through (-7, 1)
A guided missile is propelled from the origin of a coordinate system with the x-axis along the ground and the y-axis vertical. Its path, or trajectory, is given by the equation below.
Let vector r(t) = t i + t^2 j represent a plane curve. Find T(t), T(1) and N(1). Sketch the plane curve and graph the vectors T(1) and N(1) at the point t = 1.
Write the given number in standard notation and write the number in standard notation. 8 × 10 6
Determine the linear correlation coefficient using x = HP and y = MPG. Perform the hypothesis test of rho to determine whether horsepower and gasoline mileage are negatively correlated at the one percent level of significance? [For the critical value..
According to Car and Driver, an Alfa Romeo going 70 mph requires 177 feet to stop. Assuming that the stopping distance is proportional to the square of the velocity, find the stopping distance required by an Alfa Romeo going at 30 mph and at 140 m..
the base of a right triangular prism is a isosceles triangle whose equal sides measure 25 cm each. the volume is 0.075 cubic meters. what is the height of the prism.
To buy a laptop, Susan receives a $2000 loan at a 6.5% annual interest rate on January 10. The loan is due May 15. The year is not a leap year. Round the answers to the nearest cent (nearest hundredths)
A club has 28 members, and 6 members must be selected to make a committee. Of the 28 members, 15 are men and the rest are women. How many ways can the 6 member committee can be selected if there are to be 4 men and 2 women on the committee?
In the Department of Education at UR University, student records suggest that the population of students spends an average of 5.10 hours per week playing organized sports. The population's standard deviation is 2.00 hours per week.
Determine the break-even volume of work for a company with a fixed overhead of $63,000, a contribution margin ratio of 11.0%, and a required level of profit of $60,000.
Fred invests $3000 more in an account that pays 4% simple interest than he invests in an account that pays 3% simple interest. If the total interest earned for the first year is $610, how much did Fred invest in each account?
Show that x^2+1 is irreducible as an element of Q[x] but reducible as an element of Z5[x]
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