Seventy-six percent of the brass instruments in the band leading the parade were trombones. If there were 100 brass instruments, how many were trombones?

Write a correct energy conservation (loop) equation for this circuit, following a path that starts at the negative end of the battery and goes counterclockwise

When you get a blood transfusion the bag of blood is held above your body, but when you donate blood the collection bag is held below. Why is this?

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer. Perpendicular to the line y = 8; containing the point (3, 4)

A blow to the head can cause a loss of consciousness. What centers in the brain are associated with alertness?

Give an example of an open cover of the segment $(0,1)$ which has no finite sub-cover.

Prove that if f is continuous on an interval [a, b], f(a)>a and f(b)<b, then f has a fixed point [a solution of f(x)=x] in the interval (a, b).

Use the Compound Interest table to find the amount of interest earned. If necessary, round to the nearest cent. $8000 at 4% annual rate, compounded semi-annually, for 3 years

Rewrite the sentences below, correcting any errors in punctuation and usage. Into Canterbury rides the 29 travelers and the innkeeper.

The rectangular coordinates of a point are given. Find polar coordinates for each point. (0,2)

Sketch the direction.fields, then identify the constant or equilibrium solutions and give their stability. $y^{\prime}=t^{2}\left(1-y^{2}\right)$

Simplify. (4 + i)(3 + 5i)

A linear operator $T$ on $R^n$ and its characteristic polynomial are given. Find, if possible, a basis for $R^n$ consisting of eigenvectors of $T$. If no such basis exists, explain why.

$$\begin{equation*}T\begin{pmatrix}\begin{bmatrix}x_1\\x_2\\x_3\\x_4\end{bmatrix}\end{pmatrix}= \begin{bmatrix}-7x_1-4x_2+4x_3-4x_4\\x_2\\-8x_1-4x_2+5x_3-4x_4\\ x_4\end{bmatrix}, (t+3)(t-1)^3\end{equation*}$$

There is a type of SAD that occurs in the summer when the hours of daylight increase. Write a paragraph predicting what the symptoms of summer SAD might be.