Perform the given translation on (3, 1). Give the coordinates of the translated point. 5 units left, 4 units down

Make an order-of-magnitude estimate of the quantity. -The diameter of the image formed on the back of your eye by a point source of bright light.

Arnold had a collection of baseball cards that he divided evenly among 5 friends. Each friend received 17 baseball cards. Which equation can be used to find y, the number of baseball cards Arnold had? (F) 5y=17 (G) y/5=17 (H) 17y=5 (J) y/5 - 5=17

Design a circuit, consisting of at least two gates, whose output is always 1.

Write an equation as part of solving the problem. The operating speed of a personal computer is 100 GHz. This is one-third the speed of a newer model. Find the speed of the newer personal computer.

Use log 4 ≈ 0.602 and log 12 ≈1.079 to evaluate the logarithm. log 16

Simplify

$$(-2)^{3}(-2)^{2}$$

Simplify the rational expression, If possible.

$$4x^2$$

/

$$20x^2-12x$$

Gold is sold by the troy ounce (31.103 g). What is the volume of 1 troy ounce of pure gold?

An L-R-C series circuit has L = 0.450 H, $C=2.50 \times 10^{-5} \mathrm{F}$, and resistance R. (a) What is the angular frequency of the circuit when R = 0? (b) What value must R have to give a 5.0% decrease in angular frequency compared to the value calculated in part (a)?

(a) How does Geary visually interrupt the presentation of Lincoln's Second Inaugural Address on page 337? (b) What effect does this interruption have?

Determine whether the statement is true or false. Explain your answer. An integrand involving a radical of the form

$$\sqrt { x ^ { 2 } - a ^ { 2 } }$$

suggests the substitution x=a cos

$$\theta$$

.

Name the following compounds and assign oxidation states to the halogens in them: $AlCl_3$

Evaluate each function for the given value.

$$h ( w ) = - 0.5 \cdot 4 ^ { w } \text { for } w = 18$$