Using a meter stick, a student measure s a length and reports it to be $0.8755\ \mathrm{m}$. What is the smallest division on the meter stick scale?

Because triangle A is congruent with triangle B, and triangle A is isosceles, it follows that triangle B is isosceles.

Sketch an isoceles triangle in the coordinate plane. Then, prove that your triangle is not scalene using indirect reasoning.

Find the inverse, if it exists, of each matrix.

$$\left[\begin{array}{rr} 4&2 \\ 2&1 \end{array}\right]$$

Copy and write the missing factor. $\frac { 1 } { 3 } \square = \frac { 7 } { 21 }$

The equation of a circle is

$$(x - 3)^2 + (y + 7)^2 = 23.$$

What is the length of the diameter of the circle?

Li-ion batteries used in a utomobiles typically use a $LiMn_2O_4$ cathode in place of the $LiCoO_2$ cathode found in Which material has a higher percentage of lithium? Does this help to explain why batteries made with $LiMn_2O_4$ cathodes deliver less power on discharging?

The trace of a matrix is the sum of its diagonal elements. a. For any two matrices A and B, show that trace (A + B) = trace A + trace B. b. For any two matrices A and B for which the products AB and BA are defined, show that trace AB = trace BA.

Reread Basho's haiku. In which season do you think this moment took place? Explain your opinion.

Water samples containing dissolved substances are called _____.

Determine the mass moment of inertia about the y-axis for the equilateral triangular plate of the previous problem. Also determine its radius of gyration about the y-axis.

Convert

$$\frac { 7 } { 9 }$$

to a percent.

Find the curve’s unit tangent vector. Also, find the length of the indicated portion of the curve.

$$\mathbf { r } ( t ) = ( 2 + t ) \mathbf { i } - ( t + 1 ) \mathbf { j } + t \mathbf { k } , \quad 0 \leq t \leq 3$$

A substance that is uniform and invariable in chemical composition is called a _______________ substance.