Describe the relationship between the U.S. government and the Plains Indians from 1850 to 1900.

Several words in "The Invalid's Story" end in -ous. The Latin suffix sous generally means "full of" of "characterized by," as in courageous, meaning "full of courage." Add-ous to each word to form a new word. Then, define each new word. prestige

Write an expression for each quantity. number of pounds in z ounces

An arch has the shape of half an ellipse. The equation of the ellipse is $100 x^{2}+324 y^{2}=32,400$, where x and y are in meters. (a) How high is the center of the arch? (b) How wide is the arch across the bottom?

Why did Native Americans and white settlers clash?

Which nuclide(s) would you predict to be stable? Why? (a) $^{146} _{60} Nd$ (b) $^{114} _{48}Cd$ (c) $^{88} _{42} Mo$

Evaluate the indefinite integral $\int f(x) d x$ with constant C = 0 using u-substitution. Then, graph the function and the antiderivative over the indicated interval. If possible, estimate a value of C that would need to be added to the antiderivative to make it equal to the definite integral $F(x)=\int_{a}^{x} f(t) d t$ with a the left endpoint of the given interval.

$$\int 3 x^{2} \sqrt{2 x^{3}+1} d x\ \text { over }\ [0,1]$$

Let p, q, and r represent the following simple statements: p: The temperature is above $85^{\circ}$. q: We finished studying. r: We go to the beach. Write each symbolic statement in words. If a symbolic statement is given without parentheses, place them, as needed, before and after the most dominant connective and then translate into English. $(\sim r \longrightarrow \sim q) \vee p$

Write an equation for the problem. Then solve the equation. Twelve is one fifth of a number. What is the number?

A cubical crystal is growing in size. Find the approximate change in the length of a side when the volume increases from 27 cubic mm to 27.1 cubic mm.

This problem is a checkpoint for graphs, equations, and roots of polynomial functions. a. Sketch a graph of the polynomial function $p(x)=(x-4)(x-2)^{2}(x+3)^{2}$. Label the intercepts. b. Write a possible equation of a polynomial function, in factored form with real coefficients, that has roots of x = -1,-1 - 3i, and $3-\sqrt{3}$. c. Determine all of the roots of $p(x)=2 x^{4}-3 x^{3}+2 x^{2}-6 x-4$.

You can use the formula below to find the sum S of the interior angle measures of a polygon with n sides. Solve the formula for n.

$$S = 180 ( n - 2 )$$

A.

$$n = 180 ( S - 2 )$$

B.

$$n = \frac { s } { 180 } + 2$$

C.

$$n = \frac { s } { 180 } - 2$$

D.

$$n = \frac { S } { 180 } + \frac { 1 } { 90 }$$

Find the units digit of $(19^3)^4$.

Let X be a nonempty set and

$$\mathscr { P } ( X )$$

the power set of X. Define the “not equal to” relation U on

$$\mathscr { P } ( X )$$

as follows: For all

$$\mathrm { A } , \mathrm { B } \in \mathscr { P } ( X ) , \mathrm { A } \mathrm { U } \mathrm { B } \Leftrightarrow \mathrm { A } \neq \mathrm { B }$$