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Questions in mathematics

📝 Answered - Evaluate the definite integral. [tex]$\int_4^8 t^3 \ln (3 t) dt$[/tex]

📝 Answered - The graphic organizer represents the relationship between sets of real numbers. Drag each value to the section which best classifies the number. $\square$ $\frac{16}{2}$ $\square$ -9 $\square$ 0.723 . $\sqrt{36}$

📝 Answered - $(5-4 \sqrt{5})(-2+\sqrt{5})$

📝 Answered - f(x) = 2|x-4| + 1. Find the domain and range and graph it.

📝 Answered - Which of the following is a flat surface that extends infinitely, has length and width, but does not have depth? A. Angle B. Circle C. Plane D. Segment

📝 Answered - $62 \overline{)5\ 8\ 4\ 1}$

📝 Answered - Bleach Solution | | Cups | Bleach Concentration | Total | | :---- | :--- | :------------------- | :---- | | 10% Bleach | 5 | 0.10 | 0.5 | | 25% Bleach | [tex]$x$[/tex] | 0.25 | [tex]$0.25x$[/tex] | | Mixture | [tex]$5+x$[/tex] | 0.20 | 3 | What is the value of [tex]$x$[/tex]?

📝 Answered - Suppose that the price p (in dollars) and the weekly sales of x cases of purple papaya satisfy the demand equation [tex]$2 p^3+x^2=4500$[/tex]. Determine the rate at which sales are changing at a time when [tex]$x =50, p =10$[/tex], and the price is falling at a rate of [tex]$0.50$[/tex] per week. a) Sales will increase at a rate of 3 cases of purple papaya b) Sales will increase at a rate of 5 cases of purple papaya c) Sales will increase at a rate of 7 cases of purple papaya d) Sales will increase at a rate of 9 cases of purple papaya

📝 Answered - Graph the equation [tex]y =5| x |[/tex]. Let [tex]x =-3,-2,-1,0,1,2[/tex], and 3. Find the following [tex]y[/tex]-values. Then choose the correct graph of the equation.

📝 Answered - \frac{1}{2} x-4<3 \quad\{7 \leq 3+5