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Questions in Grade College

[Answered] The pair of parametric equations represent a line, parabola, circle, ellipse, or hyperbola. Name the type of basic curve that the pair of equations represents. [tex] \begin{array}{l} x+4=-6 t \\ y-8=4 t \end{array} [/tex]

[Answered] Approximate the number using a calculator. [tex]e^{2.1}[/tex] [tex]e^{2.1} \approx[/tex] $\square$ (Round to three decimal places.)

[Answered] Which of the following accurately describes the OFAC screening process? A. Institutions are only required to screen new accounts and do not need to screen transactions. B. Institutions must check all parties to a transaction, including beneficiaries, co-signers, and attorneys-in-fact. C. Once an account is opened, institutions do not need to check it against updated lists. D. Screening can only be done manually; institutions cannot use software.

[Answered] Analyze the following budget, with an income of $600, to determine how much can be spent on food for the month. | Month | Budgeted Amount | | :-------- | :------- | | Cell Phone | $65 | | Food | $ | | Entertainment | $95 | | College Savings | $200 | | Car Expenses - Gas, Insurance | $160 | a. $210 can be spent on food. b. $145 can be spent on food. c. $80 can be spent on food. d. $260 can be spent on food. Please select the best answer from the choices provided

[Answered] What is one of the many inventions created by Muslim scholars during the Golden Age of Islam? A. algebra B. the astrolabe C. the thermometer D. herbal medicine

[Answered] Find the exact value of the following expression. [tex]$\tan ^{-1}\left(\frac{\sqrt{3}}{3}\right)$[/tex] Select the correct choice below and, if necessary, fill in the answer box to A. [tex]$\tan ^{-1}\left(\frac{\sqrt{3}}{3}\right)=[/tex] $\square$ (Simplify your answer. Type an exact answer, using [tex]$\pi$[/tex] as needed.

[Answered] $[(5,577)-2] \div 2 \cdot(8+18 \div 9)$

[Answered] Consider the following reversible reaction. [tex]2 H_2 O(g) \leftrightarrow 2 H_2(g)+O_2(g)[/tex] What is the equilibrium constant expression for the given system? A. [tex]K _{ eq }=\frac{\left[ H _2 O \right]}{\left[ H _2\right]\left[ O _2\right]}[/tex] B. [tex]K _{ eq }=\frac{\left[ H _2 O \right]^2}{\left[ H _2\right]^2\left[ O _2\right]}[/tex] C. [tex]K _{ eq }=\frac{\left[ H _2\right]^2\left[ O _2\right]}{\left[ H _2 O \right]}[/tex] D. [tex]K _{ eq }=\frac{\left[ H _2\right]^2\left[ O _2\right]}{\left[ H _2 O \right]^2}[/tex]

[Answered] The overall cost of carpet and installation from a particular company is represented by the function, where [tex]$x$[/tex] represents the square footage of the carpet. [tex]$P(x)=\$ 2.35 x+\$ 104.00$[/tex] What is the average rate of change over the interval [tex]$[2,000,2,500]$[/tex]? A. [tex]$\$[/tex]0.43 per square foot B. [tex]$\$[/tex]4.81 per square foot C. [tex]$\$[/tex]2.35 per square foot D. [tex]$\$[/tex]1.04 per square foot

[Answered] Proof: We are given that [tex]$AB =12$[/tex] and [tex]$AC =6$[/tex]. Applying the segment addition property, we get [tex]$A C+C B=A B$[/tex]. Applying the substitution property, we get [tex]$6+C B=12$[/tex]. The subtraction property can be used to find [tex]$CB =6$[/tex]. The symmetric property shows that [tex]$6=A C$[/tex]. Since [tex]$C B$[/tex] [tex]$=6$[/tex] and [tex]$6= AC , AC = CB$[/tex] by the property. So, [tex]$\overline{ AC } \cong \overline{ CB }$[/tex] by the definition of congruent segments. Finally, C is the midpoint of [tex]$\overline{ AB }$[/tex] because it divides [tex]$\overline{ AB }$[/tex] into two congruent segments.