Questions in mathematics

Questions in mathematics

📝 Answered - Use logarithms table to evaluate $\left(\frac{730.1 \times 29.7}{(2.43)^2 \times 0.72}\right)^{\frac{-2}{3}}$

📝 Answered - Brendan is planning a trip to Germany. He is trying to decide which cities to visit during his stay. The following table shows potential cities he could visit, as well as what he expects to pay for lodging, transportation, and similar expenses in each one. All costs are given in euros (€). | City | Cost (€) | |---|---| | Berlin | 171 | | Wiesbaden | 263 | | Hanover | 169 | | Dresden | 215 | | Kiel | 209 | | Stuttgart | 297 | | Potsdam | 179 | | Munich | 159 | Brendan's original plan was to visit Stuttgart, Dresden, Weisbaden, and Berlin. However, he would like to keep his costs under €860. Which change to Brendan's travel plans would result in his staying under, but closest, to his original budget? A. Replace Dresden with Potsdam.

📝 Answered - Which expression is equivalent to $\frac{\sqrt[4]{6}}{\sqrt[3]{2}}$ ? A. $\frac{\sqrt[12]{27}}{2}$ B. $\frac{\sqrt[4]{24}}{2}$ C. $\frac{\sqrt[12]{55296}}{2}$ D. $\frac{\sqrt[12]{177147}}{3}$

📝 Answered - If f(x) = 1 - x, which value is equivalent to |f(i)|? Options: A. 0 B. 1 C. √2 D. √(-1)

📝 Answered - Given the function f(x) = 2x² - 5x + 4, calculate the following values: f(-2) = f(-1) = f(0) = f(1) = f(2) =

📝 Answered - The table shows how a boy spent his pocket money during a week. Expenditure | Bus fare | Food | Stationery | Drinks ---|---|---|---|--- Amount | 50k | 80k | 20k | 60k Draw a bar chart and a pie chart to show this expenditure.

📝 Answered - Andy wrote the equation of a line that has a slope of $\frac{3}{4}$ and passes through the point $(3,-2)$ in function notation. Step 1: $y-(-2)=\frac{3}{4}(x-3)$ Step 2: $y+2=\frac{3}{4} x-\frac{9}{4}$ Step 3: $y+2+2=\frac{3}{4} x-\frac{9}{4}+2$ Step 4: $y=\frac{3}{4} x-\frac{1}{4}$ Step 5: $f(x)=-\frac{3}{4} x-\frac{1}{4}$ Analyze each step to identify if Andy made an error. A. Yes, he made an error in Step 1. He switched the $x$ and $y$ values. B. Yes, he made an error in Step 2. He did not distribute $\frac{3}{4}$ properly. C. Yes, he made an error in Step 3. He should have subtracted 2 from both sides. D. No, his work is correct.

📝 Answered - Solve the equation by factoring. [tex]x^2=5 x+14[/tex] The solution set is { }. (Use a comma to separate answers as needed.)

📝 Answered - Which expression is equivalent to $\sqrt{120 x} $? A. $2 \sqrt{30 x}$ B. $2 \sqrt{30}$ C. $4 \sqrt{30 x}$ D. $60 \sqrt{2 x}$

📝 Answered - A line has a slope of $-\frac{3}{5}$. Which ordered pairs could be points on a parallel line? Select two options. (-8,8) and (2,2) (-5,-1) and (0,2) (-3,6) and (6,-9) (-2,1) and (3,-2) (0,2) and (5,5)