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In **Mathematics** / **College** | 2025-07-03

[Open]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

In **Mathematics** / **College** | 2025-07-03

[Open]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.

In **Mathematics** / **High School** | 2025-07-03

[Open]Solve the rational equation by multiplying both sides by the LCD. Check your results for extraneous solutions. $\frac{3}{x^2+5 x+6}+\frac{x-1}{x+2}=\frac{7}{x+3}$ x= $\square$ is a solution. x= $\square$ is an extraneous solution.

In **English** / **College** | 2025-07-03

[Open]Complete the postcard using the verbs in the correct form. We are having such a good A. ST Patrick's Day. It is an important national festival. It is celebrated around the world, too. Some people B. beer and others C. . I D. some typical beef stew. It's delicious. There's music as well. A man E. his trumpet next to our table. Everybody is wearing green clothes - it's the color of the festival!

In **Chemistry** / **College** | 2025-07-03

[Open]What is the correct formula of dinitrogen hexoxide? A. [tex]$NO _3$[/tex] B. [tex]$N _6 O _2$[/tex] C. [tex]$N _2 O _6$[/tex] D. [tex]$N _2 O _4$[/tex]

In **Mathematics** / **College** | 2025-07-03

[Open]Write each expression with a rational exponent. Do not attempt to simplify. (a) [tex]$\sqrt[11]{11 w}=[/tex] (b) [tex]$\sqrt[8]{10 t}=\sqrt[8]{10 t}$ $\sigma^6[/tex] (c) [tex]$2 \sqrt[7]{17 a}=[/tex]

In **Mathematics** / **High School** | 2025-07-03

[Open]The graph of the even function [tex]f(x)[/tex] has five [tex]x[/tex]-intercepts. If [tex](6,0)[/tex] is one of the intercepts, which set of points can be the other [tex]x[/tex]-intercepts of the graph of [tex]f(x)[/tex] ? A. [tex](-6,0),(-2,0)[/tex], and [tex](0,0)[/tex] B. [tex](-6,0),(-2,0)[/tex], and [tex](4,0)[/tex] C. [tex](-4,0),(0,0)[/tex], and [tex](2,0)[/tex] D. [tex](-4,0),(-2,0)[/tex], and [tex](0,0)[/tex]

In **Mathematics** / **High School** | 2025-07-03

[Open]Which of the following statements are true? Check all of the boxes that apply. [tex]f(x)=2 \sqrt{x}[/tex] has the same domain and range as [tex]f(x)=\sqrt{x}[/tex]. [tex]f(x)=-2 \sqrt{x}[/tex] has the same domain and range as [tex]f(x)=\sqrt{x}[/tex]. [tex]f(x)=-\sqrt{x}[/tex] has the same domain as [tex]f(x)=\sqrt{x}[/tex], but a different range. [tex]f(x)=\frac{1}{2} \sqrt{x}[/tex] has the same domain as [tex]f(x)=\sqrt{x}[/tex], but a different range.

In **Chemistry** / **High School** | 2025-07-03

[Open]What does a positive ΔH look like on a potential energy diagram? A. The potential energy of the products is equal to the potential energy of the reactants. B. The potential energy of the reactants is greater than the potential energy of the products. C. The activation energy of the reactants is less than the activation energy of the products. D. The potential energy of the products is greater than the potential energy of the reactants.

In **Mathematics** / **College** | 2025-07-03

[Open]What is the following quotient? $\frac{5}{\sqrt{11}-\sqrt{3}}$