The cost $C$, in millions of dollars, of producing $q$ items is given by $C=5.7+0.002q$ .Interpret the 5.7 and the 0.002 in terms of production. Give units.

Decide whether each statement is possible or impossible. (a) sec $\theta=-\frac{2}{3}$, (b) tan $\theta=1.4$, (c) csc $\theta=5$.

Write each percent as a fraction or mixed number in simplest form. 102%

Which principle can we use to determine the frequency $f_{\mathrm{D}}$ “detected” by the ball as it moved toward the source waves from the radar? (a) The beat frequency equation, (b) The high-speed Doppler effect equation, (c) The low-speed Doppler effect equation, (d) The time dilation equation, (e) The relationship between wave speed, frequency, and wavelength.

A square has side length 3x. One dimension is increased by 2y and the other is decreased by 2y. a) Find an algebraic expression for the area of the resulting rectangle. Expand. b) Find an algebraic expression for the change in area. Expand. c) Calculate the area of the rectangle and change in area if x represents 8 cm and y represents 5 cm.

A radical equation and a linear equation are given. Solve the radical equation by squaring both sides. Solve the linear equation without squaring both sides.

$$3 x = x \sqrt { 7 } - 2$$

Delaney wants to figure how much she should charge per page. She knows she needs to consider a variety of factors, such as what people are willing to pay, her costs, her time, and her profit. She has researched the issue and based on her research decides to charge $10 per page. Explain the meaning of any negative values.

Factor. Assume that n is a natural number.

$$2 a ^ { 6 n } - 3 a ^ { 3 n } - 2$$

Either click on the icon or use your graphics calculator (with the same scale on both axes) to plot $\left\{(x, y) : \quad x=\cos t, \quad y=\sin t, \quad 0^{\circ} \leqslant t \leqslant 360^{\circ}\right\}$ Your calculator will need to be set to degrees

Solve each equation. Check each solution. x/3 + x/2 = 10

List two problems that may affect friendships.

Rationalize the denominator. All variables represent positive real numbers.

$$\frac { \sqrt [ 3 ] { 6 u } } { \sqrt [ 3 ] { u ^ { 5 } } }$$

? inflation is particularly harmful to people in businesses because they are not able to plan for it.

Copper has two naturally occurring isotopes, 63Cu (isotopic mass 62.9396 amu) and 65Cu (isotopic mass 64.9278 amu). If copper has an atomic mass of 63.546 amu, what is the percent abundance of each isotope?