Provide an example of using precollected data.

Unlike in society, a scientific ______ is simply a description of what we see.

One of the nuclides in each of the following pairs is radioactive. Predict which is radioactive and which is stable: nickel-58 and nickel-65.

Solve the equation or inequality.

$$\frac { 6 } { x - 3 } > \frac { x } { 4 } + 5$$

On March 1, 2016, Beldon Corporation purchased land as a factory site for $60,000. An old building on the property was demolished, and construction began on a new building that was completed on December 15, 2016. Costs incurred during this period are listed below: Demolition of old building$ 4,000 Architect’s fees (for new building) 12,000 Legal fees for title investigation of land 2,000 Property taxes on land (for period beginning March 1, 2016) 3,000 Construction costs 500,000 Interest on construction loan 5,000. Salvaged materials resulting from the demolition of the old building were sold for $2,000. Required: Determine the amounts that Beldon should capitalize as the cost of the land and the new building.

Use the compound interest formula

$$A = P \left( 1 + \frac { r } { n } \right) ^ { n t }$$

, where P is the amount deposited, A is the value of the money after t years, r is the annual interest rate as a decimal, and n is the number of compounding periods per year. A computer network specialist deposits $2500 into a retirement account that earns 7.5% annual interest, compounded daily. What is the value of the investment after 20 years?

Identify the two statements that contradict each other.

$$\begin{array} { l } { \text {I. In right } \triangle A B C , m \angle A = 60. } \\ { \text {II. In right } \triangle A B C , \angle A \cong \angle C. } \\ { \text {III. In right } \triangle A B C , m \angle B = 90. } \end{array}$$

Use trigonometric substitution to show that integral dx/(x^2+a^2)^1/2=ln(x (x^2+a^2)^1/2)+C

Factor each expression.

$$q ^ { 2 } + 2 q + 1$$

Write a short paragraph that explains the relationship between the speed of a river and the oxygen content of a river.

Hydrazine

$$(N_2H_4)$$

and dinitrogen tetroxide

$$(N_2O_4)$$

form a self-igniting mixture that has been used as a rocket propellant. The reaction products are

$$N_2$$

and

$$H_2O.$$

Which substance serves as the reducing agent and which as the oxidizing agent?

Determine whether the set $V$ is a vector space with respect to the indicated operations. Justify your conclusions. $V$ is the set of all sequences $\{a_n\}$ of real numbers. For any sequences $\{a_n\}$ and $\{b_n\}$ in $V$ and any scalar $c$, define the sum $\{a_n\}+\{b_n\}$ and the product $c\{a_n\}$ by

$$\{a_n\}+\{b_n\}=\{a_n+b_n\}\text{ and }c\{a_n\}=\{ca_n\}.$$

Use a fraction to estimate the percent of each number. 53% of 539

On a lab exam, you have to find the concentrations of the monoprotic (one proton per molecule) acids HA and HB. You are given 43.5 mL of HA solution in one flask. A second flask contains 37.2 mL of HA, and you add enough HB solution to it to reach a final volume of 50.0 mL. You titrate the first HA solution with 87.3 mL of 0.0906 M NaOH and the mixture of HA and HB in the second flask with 96.4 mL of the NaOH solution. Calculate the molarity of the HA and HB solutions.