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Questions in mathematics

[Free] at [tex]\cos \emptyset-\frac{1}{2}\left(a^3+\frac{1}{a^3}\right)=0[/tex] ii. [tex]\tan 15^{\circ}=2-\sqrt{3}[/tex]

[Free] $\$1100$ are deposited in an account with 5.8\% interest rate, compounded continuously. What is the balance after 22 years? $F=\$[?] Round to the nearest cent.

[Free] Find the domain of the function. [tex]f(x)=\frac{10+x}{\sqrt{-6+x}}[/tex] Write your answer as an interval or union of intervals.

[Free] If C is -5, then what is F? Use [tex]$C = \frac{5}{9}(F-32)$[/tex]. A) 43 B) 33 C) 23 D) 13

[Free] Shweta lives 3 km from school, and Annie lives 2 km from school. Who lives farther from school?

[Free] Evaluate the following expression: \[ \frac{\log_{10} 5 \cdot \log_{10} 20 + (\log_{10} 2)^2}{5^{\log_{\sqrt{5}} 2} + 9^{\log_3 7} - 8^{\log_2 5}} \]

[Free] Weston completed a hypothesis test and found that he could not reject the null hypothesis. Which of the following is a valid reason for his conclusion? A. The z-statistic is less than 0. B. The z-statistic lies in the critical region. C. The z-statistic is greater than 0. D. The z-statistic lies outside the critical region.

[Free] What value of [tex]$x$[/tex] makes the following equation true? [tex]\frac{3}{4}(7+x)=12[/tex] A. 2 B. [tex]$6 \frac{1}{4}$[/tex] C. 9 D. [tex]$17 \frac{1}{4}$[/tex]

[Free] 2021 Marginal Tax Rates and Standard Deductions ​Unmarried, ​divorced, or nbsp Bold legally separated legally separated Married and each partner files a nbsp Bold separate tax return separate tax return nbsp Bold Married and both nbsp Married and both partners file a single tax return nbsp Bold Unmarried and paying more Unmarried and paying more than half the cost of supporting a child or parent nbsp Bold Tax Rate nbsp Tax Rate nbsp Bold Single nbsp Single Bold Married FilingMarried Filing Separately Married Filing Jointly Head of Household nbsp 10 % nbsp 10% up to​ $9950 up to​ $9950 up to​ $19,900 up to​ $14,200 nbsp 12 % nbsp 12% ​ $9951 to​ $40,525 ​ $9951 to​ $40,525 ​ $19,901 to​ $81,050 ​ $14,201 to​ $54,200 nbsp 22 % nbsp 22% ​ $40,526 to​ $ $86,375 ​ $40,526 to​ $86,375 ​ $81,051 to​ $172,750 ​ $54,201 to​ $86,350 nbsp 24 % nbsp 24% ​ $86,376 to​ $164,925 ​ $86,376 to​ $164,925 ​ $172,751 to​ $329,850 ​ $86,351 to​ $164,900 nbsp 32 % nbsp 32% ​ $164,926 to​ $209,425 ​ $164,926 to​ $209,425 ​ $329,851 to​ $418,850 ​ $164,901 to​ $209,400 nbsp 35 % nbsp 35% ​ $209,426 to​ $523,600 ​ $209,426 to​ $314,150 ​ $418,851 to​ $628,300 ​ $209,401 to​ $523,600 nbsp 37 % nbsp 37% more than​ $523,600 more than​ $314,150 more than​ $628,300 more than​ $523,600 Standard Deduction ​ $12,550 ​ $12,550 ​ $25,100 ​ $18,800

[Free] A student showed the steps below while solving the equation $14=\log _5(2 x-3)$ by graphing. Step 1: Step 2: Step 3: Write a system of equations: $y_1=14, y_2=\log _5(2 x-3)$ Use the change of base formula to rewrite the equations: $y_1=\log 14 ; y_2=\frac{\log (2 x-3)}{\log 5}$ Graph the two equations: