Tuan is an artist. He is painting on a large canvas that is 45 inches wide. The height of the canvas is 9 inches less than the width. What is the area of Tuan's canvas?

Consider this geometric sequence: $3,6,12,24,48, \ldots$ a. What is the common ratio r? b. Call the general term of this sequence $A_{n}$. Suppose that the starting subscript for the sequence is 0. Thus, the initial term is $A_{0}=3$. What is a recursive formula for this sequence? What is a function formula for this sequence? Write both formulas in the form $"A_{n}=\ldots,$") c. Suppose the starting subscript is 1. Thus, $A_{1}=3$. What is a recursive formula for the sequence in this case? What is a function formula? (Write both formulas in the form $"A_{n}=\ldots$." d. Compare the formulas in Parts b and c. Explain similarities and differences.

Find the mean and standard deviation of a normally distributed random variable X, given that P(X $\geqslant$ 80) = 0.1 and $\mathrm{P}(X \leqslant 30)=0.15$.

The outer layer of the blastocyst, which attaches to the uterine wall, is the a. yolk sac. b. inner cell mass. c. amnion. d. trophoblast.

To earn money for gifts, Debbie sold decorated pinecones. If she sold 100 pinecones at $0.25 each, how much money did she earn?

Managers, clerks and labourers are paid according to an industry award. Xenon employs 2 managers, 3 clerks and 8 labourers with a total salary bill of 352000 euros. Xanda employs 1 manager, 5 clerks and 4 labourers with a total salary bill of 274000 euros. Xylon employs 1 manager, 2 clerks and 11 labourers with a total salary bill of 351000 euros. a. If x, y and z represent the salaries (in thousands of euros) for managers, clerks and labourers respectively, show that the above information can be represented by a system of three equations. b. Solve the above system of equations. c. Determine the total salary bill for Xulu company which employs 3 managers, 8 clerks and 37 labourers.

Explain why injured dense connective tissue and cartilage are usually slow to heal.

Approximately what is the radius of a copper atom? Is it $1 \times 10^{-15} \,\text{m}$, $1 \times 10^{-12} \,\text{m}$, $1 \times 10^{-10} \,\text{m}$,$1 \times 10^{-8} \,\text{m}$,$1 \times 10^{-6} \,\text{m}$

Determine algebraically whether each function is even, odd, or neither. $g(x)=-3 x^{2}-5$

It was stated that the intensity of polarized light is reduced to $90.0\%$ of its original value by passing through a polarizing filter with its axis at an angle of $18.4^{\circ}$ to the direction of polarization. Verify this statement.

Find the angles in the quadrilateral ABCD with vertices A=(2, 0, 1), B=(2, 1, 4), C=(4,−2, 5) and D=(4, 0, 2).

Explain how a serious illness, divorce, and drug abuse can all lead to financial problems.

Use the quadratic formula to solve the equation.

$$12 z ^ { 2 } + 5 z - 3 = 0$$

Solve the system by elimination.

$$\left. \begin{array} { l } { y = x ^ { 2 } + x + 1 } \\ { y = - x - 2 } \end{array} \right.$$