Evaluate when $a = 7 \frac { 1 } { 5 } , b = - \frac { 6 } { 15 } , c = - 1 \frac { 1 } { 3 } ,$ and d = 9. $\frac { a } { b }$

Solve each equation for solutions over the interval $\left[0^{\circ}, 360^{\circ}\right)$. If necessary, express solutions to the nearest tenth of a degree. $\sin 2 \theta=\cos 2 \theta+1$

a. Repeat the following procedure with at least five people. Write a conjecture that relates the result of the procedure to each person’s birthday. Take the number of the month of your birthday (January=1, February=2, ..., December=12), multiply by 5, add 6, multiply this sum by 4, and 9, multiply this new sum by 5, and add the number of the day on which you were born. Finally, subtract 165. b. Let M represent the month number and let D represent the day number of any person’s birthday. Use deductive reasoning to prove your conjecture in part (a).

What is the name for the place at which pedestrians cross the street?

After Congress has passed a law and the president has signed it, what what role is played by the executive branch?

Write the missing exponent. 27 = 3

Expressions that occur in calculus are given. Write each expression as a single quotient in which only positive exponents and/or radicals appear. $\frac{\sqrt{x^{2}+1}-x \cdot \frac{2 x}{2 \sqrt{x^{2}+1}}}{x^{2}+1}$

inflammation of the joints

How many eight-bit strings begin 1100?

Let y=(x^3-1)^2. Differentiate the function: (a) by expanding before differentiation, (b) by using the chain rule. Then reconcile the results

Antisocial personality disorder is most often characterized by a. violence. b. lack of conscience. c. mood swings. d. unexplained physical symptoms. e. committing serial murders.

A gardener wishes to make a triangular garden. He has fence segments of length 8 feet, 14 feet, 15 feet, 17 feet, and 20 feet. What combination of fence lengths will make an obtuse triangle?

Find the monthly house payments for each mortgage. Calculate the total payments and interest. $256,890 at 5.96% for 25 years.

It takes Jupiter 11.64 yr to complete one orbit around the Sun. If Jupiter's average distance from the Sun is 483,600,000 mi, find its orbital speed (speed along its orbital path) in miles per second.