Questions in mathematics

Questions in mathematics

📝 Answered - What is the following quotient? $\frac{\sqrt{120}}{\sqrt{30}}$

📝 Answered - \frac{2^4 \cdot 2^3 \cdot 2^5}{2^4 \cdot 2^3}

📝 Answered - Find the middle term in the expansion of $(2 x-y)^4$ and simplify your answer.

📝 Answered - Which is equal to $4 \sqrt{9}+14 \sqrt{4}$?

📝 Answered - Given [tex]log _4 3 \approx 0.792[/tex] and [tex]log _4 21 \approx 2.196[/tex], what is [tex]log _4 7[/tex]?

📝 Answered - Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A group of friends are ordering food. The total amount that they can spend on their food bill is $41, including the delivery charge of $6. The equation below represents the situation, where $x$ is the cost of each friend's meal. [tex]6+a x=41[/tex] The cost of each friend's meal in terms of [tex]a[/tex] is $\boxed{}$ . The cost of each friend's meal when the number of friends is 5 is $\boxed{}$.

📝 Answered - $(32^{-1})^{5^{-1}}

📝 Answered - What is $\lim _{x \rightarrow 4}(3 x-3)^{\frac{5}{2}} ?$

📝 Answered - Suppose you physically simulate the random process of rolling a single die. (a) After 10 rolls of the die, you observe a "one" a total of 1 time. What proportion of the 10 rolls resulted in a "one"? (b) After 20 rolls of the die, you observe a "one" a total of 4 times. What proportion of the 20 rolls resulted in a "one"? (a) The proportion was (Simplify your answer. Do not round.) (b) The proportion was (Simplify your answer. Do not round.)

📝 Answered - What is the simplified form of the following expression? Assume [tex]Y \neq 0[/tex] [tex]\sqrt[3]{\frac{12 x^2}{16 y}}[/tex] A. [tex]\frac{2\left(\sqrt[3]{6 x^2 y^2}\right)}{y}[/tex] B. [tex]\frac{\sqrt[3]{12 x^2 y}}{2 y}[/tex] C. [tex]\frac{x(\sqrt[3]{3 y})}{2 y}[/tex] D. [tex]\sqrt[3]{6 x^2 y^2}[/tex]