Questions in mathematics

Questions in mathematics

📝 Answered - Lucy needs to buy some organic apples, and her grocery store is having a sale on them. If she buys 3 or fewer pounds of apples, the price will be $1.50 per pound. If she buys more than 3 pounds of apples, the price is $1.10 per pound. What is the domain of the piecewise-defined function, where [tex]$x$[/tex] represents the number of pounds of apples? [tex] \{x \mid x \geq 0\} [/tex] [tex] \{x \mid x \text{ is a real number }\} [/tex] [tex] \{x \mid 0 \leq x \leq 3\} [/tex] [tex] \{x \mid x \geq 3\} [/tex]

📝 Answered - In an experiment, the population of cells in a culture increase by [tex]$14 \%$[/tex] each hour. If there are 325 cells in the culture now, how many will there be after 24 hours? [tex]Future Amount = I (1+r)^{ t }[/tex] [ ? ] cells Round to the nearest whole number.

📝 Answered - Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting [tex]$t$[/tex], the time in minutes, represent the independent variable and [tex]$k$[/tex], the number of kilometers, represent the dependent variable. Which equation can be used to represent [tex]$k$[/tex], the number of kilometers Julissa runs in [tex]$t$[/tex] minutes? [tex]$k-2=\frac{1}{9}(t-18)$[/tex] [tex]$k-18=\frac{1}{9}(t-2)$[/tex] [tex]$k-2=9(t-18)$[/tex] [tex]$k-18=9(t-2)$[/tex]

📝 Answered - Simplify. Give your answers as positive exponents. [tex]a^5 \cdot a^{-2}[/tex] A. [tex]a^2[/tex] B. [tex]\frac{a^2}{a^3}[/tex] C. [tex]a^3[/tex] D. [tex]\frac{a^5}{a^2}[/tex]

📝 Answered - Use the properties of exponents to rewrite the expression. (3x⁴y³)(-5x³y) A. 15x⁷y B. -15x⁷y C. 15x¹²y³ D. -15x⁷y⁴

📝 Answered - Simplify [tex]1 / 3 x+y[/tex]

📝 Answered - Factor by grouping. [tex]4 m+m n+20+5 n[/tex]

📝 Answered - Select the correct answer. Solve for $x$ in this equation. $7^{3 x-17}=49^x$ A. 2 B. 15 C. 17 D. 20

📝 Answered - The value, $V(m)$, of a comic book $m$ months after publication has an average rate of change of -0.04 between $m=36$ and $m=60$. Which statement must be true? A. The value of the comic book decreased by a total of $0.04 between $m=36$ and $m=60$. B. The value of the comic book increased by a total of $0.04 between $m=36$ and $m=60$. C. The value of the comic book decreased by an average of $0.04 each month between $m=36$ and $m=60$. D. The value of the comic book increased by an average of $0.04 each month between $m=36$ and $m=60$.

📝 Answered - What is [tex]$\sin 60^{\circ}$[/tex]? A. [tex]$\frac{1}{2}$[/tex] B. [tex]$\sqrt{3}$[/tex] C. [tex]$\frac{1}{\sqrt{2}}$[/tex] D. [tex]$\frac{\sqrt{3}}{2}$[/tex] E. 1 F. [tex]$\frac{1}{\sqrt{3}}$[/tex]