Why did delegates think the Articles of Confederation needed to be replaced?

Use the notes you completed during the lesson to compare and contrast the Articles of Confederation and the Constituti

Consider the following data table.

$$\begin{array}{|c|c|} \hline \text { Input } & \text { Output } \\ \hline 1 & 20 \\ \hline 2 & 26 \\ \hline 3 & 35 \\ \hline 4 & 41 \\ \hline 5 & 37 \\ \hline 6 & 52 \\ \hline 7 & 55 \\ \hline \end{array}$$

a. Find the balance point of the data. b. For what value b does the graph of the line y=5x+b pass through the balance point of the data?

(a) What properties of nature would be different if there were a relativistic transformation law for electric charge? (b) What experiments could be done to prove that electric charge does not change with velocity?

The line tangent to the graph of f at x =5 is $y=\frac{1}{10} x-2$. Find $\left.\frac{d}{d x}(4 f(x))\right|_{x=5}$.

How is a capillary's structure adapted to its function?

For the following exercises, factor the polynomial. $m^{2}-20 m+100$

For the following exercises, simplify each expression. $\sqrt{150}$

For the following exercises, find the principal square root. $\sqrt[5]{-243}$

For the following exercises, factor the polynomials. $3 t(10 t+3)^{\frac{1}{3}}+7(10 t+3)^{\frac{4}{3}}$

a. Find the equations of three different lines that contain the point (3, 6). b. Find the equation of the one line that contains (3, 6) and (8, -1),

A hockey team scored a total of 5 goals in the first two periods of play. If x represents the number of goals in the first period, and y represents the number of goals in the second period, make a function table of possible values for x and y.

Find the following limit or state that they do not exist. Assume a, b, c, and k are real numbers. $\lim _{x \rightarrow 3} \frac{x-3}{|x-3|}$

Find the length of the following polar curve. The complete circle r = a sin $\theta$, where a > 0.