Graph each function over a one-period interval. $y=1-2 \csc \left(x+\frac{\pi}{2}\right)$

Find each quotient.

$$-100\div(-10)$$

Analyze the benefits of a centerpiece. Why are centerpieces used when they serve no practical function?

Is a drug dangerous only if it is addictive? Explain your position.

Match each situation to its corresponding graph. Sketch a possible graph of the situation if the situation does not match any of the given graphs.

The population of a city peaked in the 1980 s and has been decreasing slowly but steadily in the years since.

A 0.0135-kg bullet is fired from ground level directly upward. If its initial speed is 300 m/s, how high does it go? (Neglect air resistance.)

A hydrogen atom initially in its ground state (n = 1) absorbs a photon and ends up in the state for which n = 3. If the atom eventually returns to the ground state, what photon energies could the atom emit?

Show that T is a linear transformation by finding a matrix that implements the mapping. Note that $x_{1}, x_{2}, \dots$ are not vectors but are entries in vectors. $T\left(x_{1}, x_{2}, x_{3}, x_{4}\right)=\left(0, x_{1}+x_{2}, x_{2}+x_{3}, x_{3}+x_{4}\right)$

Use the Gauss-Jordan Method to find the values of A, B, C (and D in part (b)) in the following partial fractions problems: *(a) $\frac{5 x^{2}+23 x-58}{(x-1)(x-3)(x+4)}=\frac{A}{x-1}+\frac{B}{x-3}+\frac{C}{x+4}$ (b) $\frac{-3 x^{3}+29 x^{2}-91 x+94}{(x-2)^{2}(x-3)^{2}}=\frac{A}{(x-2)^{2}}+\frac{B}{x-2}+\frac{C}{(x-3)^{2}}+\frac{D}{x-3}$

For the angle below, find all coterminal angles, $\theta,$ such that $-360^{\circ}<\theta<360^{\circ} .$ Then find the corresponding reference angle. $307^{\circ}$_______

A polling company produces a poll with a 5% margin of error. How many additional people must they survey to reduce the margin of error to no more than 3%?

En una hoja, escribe los números del 1 al 7. Después, escucha lo que necesitan las personas y escribe con qué profesional necesitan hablar.

What are the similarities and differences between plant and animal development?

Find the amount of each payment to be made into a sinking fund so that enough will be present to accumulate the following amounts. Payments are made at the end of each period . $2750 ; money earns 5% compounded annually; there are 5 annual payments.