The Latin root -equi-, meaning "same" or "equal," appears in the word equity, which. means "fairness" or "justice." Complete each sentence below with one of the following -equi- words. a. equinox b. equivalent c. equidistant. At the vernal _____, day and night are of the same duration.

Addition principle

Identify the effects of the Black Death.

If $\overline{M N} \cong \overline{N H}$ and $\overline{N H} \cong \overline{E S}$, then $\overline{M N} \cong \overline{E S}$. What property justify this?

A bullet of mass m traveling horizontally at a very high speed v embeds itself in a block of mass M that is sitting at rest on a nearly frictionless surface. What is the speed of the block after the bullet embeds itself in the block?

Let f be a continuous function on (a, b) such that $f(x) \geq 0$ for all $x \in(a, b)$; a can be $-\infty$, b can be $+\infty$. Show the improper integral $\int_{a}^{b} f(x) d x$ exists and equals $\sup \left\{\int_{c}^{d} f(x) d x :[c, d] \subseteq(a, b)\right\}$.

Write a sentence explaining its significance to U.S. foreign policy. detente

Describe two treatments for people with disabilities involving vision.

The displacement d (in meters) of an object at time t (in seconds) is given. (a) Describe the motion of the object. (b) What is the maximum displacement from its resting position? (c) What is the time required for one oscillation? (d) What is the frequency? d = 4 sin(2t)

$$0.1x=0.2(x+2)$$

a. The perimeter of a square is 4 times the length of one side of the square. b. The area of a square is calculated by squaring the length of one side of the square. c. When Tara, a nurse, works on Saturdaysm she is paid a $30 bonus plus$40 per hour worked.

Let x be a positive rational number of the form $x=\sum_{k=1}^{n} \frac{a_{k}}{k !}$, where each $a_{k}$ is a nonnegative integer with $a_{k} \leq k-1$ for $k \geq 2$ and $a_{n}>0$. Let $[x]$ denote the greatest integer in x. Prove that $a_{1}=[x]$, that $a_{k}=[k ! x]-k[(k-1) ! x]$ for $k=2, \dots, n$, and that n is the smallest integer such that n! x is an integer. Conversely, show that every positive rational number x can be expressed in this form in one and only one way.

Use calculator to find the value of the trigonometric ratio to the nearest ten-thousandth.

$$tan\ 60^\circ$$

Identify the purchasing and storage for fresh, canned, frozen, and dried vegetables.