Questions in mathematics

Questions in mathematics

📝 Answered - Factorizar agrupando (también llamado el método $ac$). $3 x^2+11 x+10$ Primero, seleccionar una forma con los signos apropiados. Luego, llenar los blancos con los números que va a utilizar para agrupar. Finalmente, mostrar la factorización. Forma: $3 x^2+\square x+\square x+10$ $3 x^2+\square x-\square x+10$ $3 x^2-\square x+\square x+10$ $3 x^2-\square x-\square x+10$ Factorización: $\square$

📝 Answered - A closet contains 5 short-sleeve shirts and 3 long-sleeve shirts. Two shirts are chosen from the closet without looking. What is the probability that both shirts have short sleeves? $\frac{25}{64}$ $\frac{2}{0}$ $\frac{9}{64}$ $\frac{3}{28}$ $\frac{5}{14}$

📝 Answered - Suppose the daily total cost (in dollars) of manufacturing [tex]$x$[/tex] televisions is [tex]$C(x)=0.0005 x^3-0.07 x^2+160 x+6000$[/tex] What is the marginal cost when [tex]$x=500$[/tex]? What is the actual cost incurred in manufacturing the 501st television? A. [tex]$262.00, $262.41$[/tex] B. [tex]$465.00, $465.68$[/tex] C. [tex]$262.00, $262.52$[/tex] D. [tex]$465.00, $465.93$[/tex]

📝 Answered - $A=\left[\begin{array}{ll} 2 & 3 \\ 10 & 15 \end{array}\right] \text { and } B\left[\begin{array}{ll} 4 & 7 \\ 8 & 24 \end{array}\right]$. Find $A+B$, $A-B$, $2A+3B$.

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

📝 Answered - Simplify by combining like terms. $42.3-8(7-5 n)=-59-40 n$

📝 Answered - Use the compound interest formulas [tex]$A = P \left(1+\frac{ r }{ n }\right)^{ nt }$[/tex] and [tex]$A = P e^{ rt }$[/tex] to solve the problem given. Round answers to the nearest cent. Find the accumulated value of an investment of $20,000 for 6 years at an interest rate of 6.5% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded continuously. a. What is the accumulated value if the money is compounded semiannually? b. What is the accumulated value if the money is compounded quarterly? c. What is the accumulated value if the money is compounded monthly? d. What is the accumulated value if the money is compounded continuously?

📝 Answered - Consider the set \{x \mid x>2\} (in set-builder notation). Part 1 of 2. The set in interval notation is $\square$

📝 Answered - Find the equation of the line that is parallel to $y=x-3$ and contains the point $(3,-2)$. $y=[?] x+[]$

📝 Answered - Change the following mixed number to a percent. Write your answer in percent form. Round your answer to the nearest tenth of a percent, if necessary. $2 \frac{3}{50}$