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Questions in mathematics

📝 Answered - Solve: [tex]49^{3 x}=343^{2 x+1}[/tex]

📝 Answered - 3. A company offers two services: mobile banking and SMS alerts. Out of 100 clients, 65 subscribe to mobile banking, 50 to SMS alerts, and 30 to both services. (a) How many clients subscribe to at least one of the two services? (b) How many clients subscribe to neither service? 4. Let [tex]$S=\{a, b, c\}$[/tex]. (a) List all elements of the power set [tex]$P (S)$[/tex]. (b) What is the cardinality of [tex]$P (S)$[/tex]?

📝 Answered - Use completing the square to solve for [tex]$x$[/tex] in the equation [tex](x-12)(x+4)=9[/tex] [tex]x=-1[/tex] or 15 [tex]x=1[/tex] or 7 [tex]x=4 \pm \sqrt{41}[/tex] [tex]x=4 \pm \sqrt{73}[/tex]

📝 Answered - Each pair of: 2. By selling a fan at Rs. 1810, a dealer makes a profit of Rs. 60. i. Find the cost price of the fan. ii. Find his gain percent. iii. At what price must it be sold to get 2% profit?

📝 Answered - QUESTION 4. The following information is available for Skysong Corp. for the year ended December 31, 2022. Other revenues and gains: $23,400 Other expenses and losses: $3,900 Costs of goods sold: $290,000 Sale discounts: $4,800 Sales revenue: $758,000 Operating expenses: $219,000 Sales returns and allowances: $10,500 Prepare a multiple-step income statement for Skysong Corp. The company has a tax rate of 25%. Use the following terms: Gross Profit, Income before Income Taxes, Income From Operations, Net Income/(Loss), Net Sales, Operating Expenses, Other Expenses and Losses, Other Revenues and Gains, Sales

📝 Answered - Using the properties of integer exponents, match each expression with its equivalent expression. [tex]\left(-3^{-2}\right)^0[/tex] [tex]3^3 \cdot 3^1 \cdot 3^2 \cdot 3^{-12}[/tex] [tex]-3^5 \div-3^8[/tex] [tex]-3^{-3} \cdot 3^{-3}[/tex]

📝 Answered - Drag each tile to the correct box. Arrange the equations in order from least to greatest based on their solution. Equation A: [tex]5(x-6)+3 x=\frac{3}{4}(2 x-8)[/tex] Equation B: [tex]2.7(5.1 x+4.9)=3.2 x+28.9[/tex] Equation C: [tex]5(11 x-18)=3(2 x+7)[/tex] Equation A < $\square$ < $\square$ Equation B Equation C

📝 Answered - Which one of the following statements is true of parallel lines? A) They intersect at one point. B) They never intersect. C) They intersect at more than one point. D) They intersect at least twice.

📝 Answered - Solve for the angles and indicate the angle. [tex]\begin{array}{l} \text { 4- solve, the angles } \ \text { and indicate the angle } \ \underbrace{3 x}_{7 x+6} \frac{4 x^0 / 5 x-18}{5 x+22^0}\end{array}[/tex]

📝 Answered - Use properties to rewrite the given equation. Which equations have the same solution as the equation [tex]\frac{3}{5} x+\frac{2}{3}+x=\frac{1}{2}-\frac{1}{5} x[/tex] Select three options. A. [tex]\frac{8}{5} x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5} x[/tex] B. [tex]18 x+20+30 x=15-6 x[/tex] C. [tex]18 x+20+x=15-6 x[/tex] D. [tex]24 x+30 x=-5[/tex] E. [tex]12 x+30 x=-5[/tex]