In bright light, the pupils of the eyes of a cat narrow to a vertical slit 0.30 mm across. Suppose that a cat is looking at two mice 18 m away. What is the smallest distance between the mice for which the cat can tell that there are two mice rather than one using light 560 nm? Assume the resolution is limited by diffraction only.

A force that comes from the action of Earth's gravity is called _.

The area of a circle is to be computed from a measured value of its diameter. Estimate the maximum permissible percentage error in the measurement if the percentage error in the area must be kept within

$$\pm 1 \%$$

.

Is the graph of $y = \sin \left( x ^ { 4 } \right)$ increasing or decreasing when x = 10? Is it concave up or concave down?

An astronaut performing an extra-vehicular activity (space walk) shaded from the Sun is wearing a spacesuit that can be approximated as perfectly white (e=0) except for a 5 cm $\times$ 8 cm patch in the form of the astronaut’s national flag. The patch has emissivity 0.300. The spacesuit under the patch is 0.500 cm thick, with a thermal conductivity k = 0.0600 W/m C , and its inner surface is at a temperature of 20.0 C . What is the temperature of the patch, and what is the rate of heat loss through it? Assume the patch is so thin that its outer surface is at the same temperature as the outer surface of the spacesuit under it. Also assume the temperature of outer space is 0 K. You will get an equation that is very hard to solve in closed form, so you can solve it numerically with a graphing calculator, with software, or even by trial and error with a calculator.

Simplify each expression.

$$1.5 ^ { - 2 }$$

A cylinder has radius 8 ft and height 12 ft. Draw and label a net for the cylinder. Find its surface area.

Explain why metabolically active cells (e.g. sperm, secretory cells, muscle fibres) have large numbers of mitochondria:

Graph each function. y=|x|+2

Divide.

$$6 ) \overline { 618 }$$

New York State's generalized landscape regions are identified primarily on the basis of elevation and (1) bedrock structure (2) climate zones (3) geologic age (4) latitude

(a) How could this new variety of rice reduce disease in developing countries? _____ (b) Absorption of vitamin A requires sufficient dietary fat. Explain how this could be problematic for the targeted use of golden rice in developing countries: _____

What is the length of a simple pendulum whose horizontal position is decreased by

$$x = ( 4.00 \mathrm { cm } ) \cos [ ( 3.14 \mathrm { rad } / \mathrm { s } ) t ] ?$$

What assumption do you make when answering this question?

Draw a graph that represents each situation. A tomato plant grows taller at a steady pace.