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Questions in mathematics

📝 Answered - An employee records the number of prescriptions filled at a pharmacy each hour during an 8-hour period. The table shows the results. Number of Prescriptions Filled at a Pharmacy | Hour | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |---|---|---|---|---|---|---|---|---| | Number of Prescriptions | 18 | ? | 22 | 25 | 16 | 24 | 22 | 28 | The employee spilled coffee on the table, making the entry for hour 2 unreadable. The employee knows that the mean for the data in the table is 21. How many prescriptions were filled during hour 2? A. 13 B. 14 C. 20 D. 22

📝 Answered - $(2^{2 x+1})(3^{2 x+2})+2^x(3^{x+2})-2=0

📝 Answered - Solve $x^2+4 x+12=0$ by completing the square. A. $x=-2+2 \sqrt{2} i, x=-2-2 \sqrt{2} i$ B. $x=-2+\sqrt{2} i, x=-2-\sqrt{2} i$ C. $x=-2+2 i, x=-2-2 i$ D. $x=0,-4$

📝 Answered - Suppose a gift basket maker incurs costs for a basket according to [tex]$C=9 x+171$[/tex]. If the revenue for the baskets is [tex]$R=28 x$[/tex] where x is the number of baskets made and sold, break even occurs when costs = revenues. The number of baskets that must be sold to break even is $\square$

📝 Answered - How much money will a patient using this insurance plan have to pay for a $4,200 medical bill from an emergency room visit? | Health Insurance Plan | | :--------------------------------------------------------------- | | Deductible | $3,000 | | Co-insurance | 20% | | Out-of-pocket max | $6,000 | | Emergency copay | $400 | | Primary copay | $40 | $[?]

📝 Answered - LINEAR INEQUALITIES We solve linear inequalities using the same properties, with one additional consideration. When multiplying or dividing both sides of an inequality by a blank number, reverse the inequality sign. Notice that the solution is a set of numbers. Inequalities have an infinite blank.

📝 Answered - $7^{2 n}>52^{4 n+3}$

📝 Answered - The hypotenuse of a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle measures ?? $\sqrt{2}$ units. What is the length of one leg of the triangle? 11 units $\11 \sqrt{2}$ units 22 units $22 \sqrt{2}$ units

📝 Answered - If $(x+1)$ and $(x-1)$ are factors of $x^4+a x^3-3 x^2+2 x+b$, find the values of $a$ and $b$.

📝 Answered - Use DeMoivre's theorem to prove $\sin 4 \theta=4 \cos ^2 \theta \sin \theta-4 \cos \theta \sin ^2 \theta$