True/False: a and (b or c) == (a and b) or (a and c)

The days of the year are often numbered from 1 through 365 (or 366). This number can be computed in three steps using int arithmetic: (a) dayNum = 31(month - 1) + day (b) if the month is after February subtract (4month + 23)/10 (c) if it's a leap year and after February 29, add 1 Write a program that accepts a date as month/day/year, verifies that it is a valid date, and then calculates the corresponding day number.

Find each quantity if $\mathbf{v}=3 \mathbf{i}-5 \mathbf{j}$ and $\mathbf{w}=-2 \mathbf{i}+3 \mathbf{j}$, $\|\mathbf{v}-\mathbf{w}\|$

Find a polynomial with real coefficients of the specified degree that satisfies the given conditions. Prove that the equation $3 x^{4}+5 x^{2}+2=0$ has no real root.

Find the exact value. $\csc \frac{9 \pi}{4}$

True/False: The statement myShape.move (10,20) moves myShape to the point (10,20).

On the average, each human has about six recessive alleles that would be lethal if expressed. Why do you think that human cultures have laws against marriage between close relatives?

Perform the indicated elementary row operation.

$$\left[\begin{array}{rrrr}{-5} & {2} & {-3} & {3} \\ {10} & {-3} & {1} & {-20} \\ {-1} & {3} & {1} & {8}\end{array}\right]$$

Add 2 times Row 1 to Row 2.

For the given functions f and g, find: $g \circ g$, $f(x)=x^{2} ; \quad g(x)=x^{2}+4$

Use a graphing device to determine whether the limit exists. If the limit exists, estimate its value to two decimal places. $\lim _{x \rightarrow 0} \ln \left(\sin ^{2} x\right)$

A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - x. Each piece is bent into the shape of a square. Find the value of x that minimizes the total area of the two squares.

Which feature of water explains why water has high surface tension? A. water diffuses into cells. B. water’s resistance to temperature changes. C. water is a polar molecule. D. water expands when it freezes.

Graph the inequality. $y>x^{2}+1$

Determine the coordinates of point P after the indicated glide reflection. P(1, -8) is glided -7 units horizontally and then reflected across the line y=-8.