Questions in mathematics

Questions in mathematics

📝 Answered - What is the simplified form of the following expression? [tex]$2 \sqrt{27}+\sqrt{12}-3 \sqrt{3}-2 \sqrt{12}$[/tex]

📝 Answered - Consider the map T: R^m → R^m such that T(x_1, x_2, ..., x_m) = (x_1, x_2 - x_1, ..., x_m - x_{m-1}). Then: a) T is a one-to-one linear operator. b) T is an onto linear operator. c) T is both one-to-one and onto linear operator. d) T is neither one-to-one nor onto linear operator.

📝 Answered - The value of constant "c" for which the following function is a density function: [tex]f(x) = \frac{c}{x^2 + 1}[/tex], where [tex]-\infty < x < \infty[/tex] A. 0 B. [tex] \frac{1}{\pi}[/tex] C. [tex]\pi[/tex] D. 1

📝 Answered - Harsita's school is 7 km from her home. She takes an auto for 1 km from her home daily and walks the remaining distance to reach her school. How much does she walk daily to reach the school?

📝 Answered - A restaurant's delivery person can determine the number of miles he can drive in $x$ hours by the function $f(x) = 22x$. The number of gallons of gas the delivery person uses driving $y$ miles can be determined by the function $g(y) = \frac{y}{22}$. If the delivery person works an 8-hour shift, how many gallons of gas does he use?

📝 Answered - Agone had 60 mangoes. He gave 10 to Rose and 5 to Define. What fraction did he give out?

📝 Answered - Together, Levy and Matthew earn $4,680 per month. Levy earns $520 more per month than Matthew earns. How much does Levy earn per month? A. $2,080 B. $2,340 C. $2,600 D. $4,160

📝 Answered - Which statement represents the percent of American adults with total cholesterol scores in the borderline-high range? [tex]$P(-13 \leq z \leq 0)$[/tex] [tex]$P(-0.77 \leq z \leq 1)$[/tex] [tex]$P (0 \leq z \leq 1.3)$[/tex] [tex]$P (0 \leq z \leq 0.77)$[/tex] Cholesterol levels in the blood are an important health measure. High cholesterol is a risk factor of serious conditions, such as heart disease. This table shows the general guidelines for total cholesterol scores. | Below [tex]$200 mg / dL$[/tex] | Desirable | | [tex]$200-239 mg / dL$[/tex] | Borderline high | | [tex]$240 mg / dL$[/tex] and above | High | Total cholesterol scores for American adults are normally distributed, with [tex]$\mu=200 mg / dL$[/tex]. Use [tex]$\sigma=$[/tex] [tex]$30 mg / dL$[/tex].

📝 Answered - Solve for $G$. $D=\frac{4}{7}(F+G)$

📝 Answered - Which statement proves that parallelogram KLMN is a rhombus? The midpoint of both diagonals is $(4,4)$. The length of $\overline{ KM }$ is $\sqrt{72}$ and the length of $\overline{ NL }$ is $\sqrt{8}$. The slopes of $\overline{ LM }$ and $\overline{ KN }$ are both $\frac{1}{2}$ and $NK = ML$ $=\sqrt{20}$. The slope of $\overline{ KM }$ is 1 and the slope of $\overline{ NL }$ is -1.