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Home Question Bank Math Archive 2025 February 12

Math Questions from Feb 12,2025

Browse the Math Q&A Archive for Feb 12,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Which of the following is not an acceptable form of proof? A. Two-column proof B. Proof by contradiction C. Proof by conjecture D. Flowchart proof de la Unidad 4, Lección 4 Calcula un valor de \( x \) que haga que la ecuación sea verdadera. \( -(-2 x+1)=9-14 x \) Explica tu razonamiento y comprueba que tu respuesta es correcta. Lori needs at least 12 liters of water to fill a water cooler. She has a container with 4.55 water, a container with 3.25 liters of water, and a container with 4.85 liters of water. Do have enough water? Use estimation only to decide. Explain why you are confident in yo estimate. \begin{tabular}{l} Find the volume of the solid generated by revolving the \\ \( \qquad \begin{aligned} y & =e^{-2 x} \\ y & =0 \\ x & =0 \\ x & =4\end{aligned} \) \\ \hline\end{tabular} \( A(t)=50\left(\frac{1}{2}\right) \) b) Determine the average rate of change of your function from (a) over the interval \( 10 \leq t \leq 20 \). Round your answer to the nearest hundredth and include proper units. 45. MODELING WITH MATHEMATICS Flying fish use their pectoral fins like airplane wings to glide throug the air. a. Write an equation of the form \( y=a(x-h)^{2}+k \) with vertex \( (33,5) \) that models the flight path, assuming the fish leaves the water at \( (0,0) \). b. What are the domain and range of the function? What do they represent in this situation? domalr c. Does the value of \( a \) change when the flight pathe has vertex \( (30,4) \) ? Justify your answer. You want to have enough flour to divide into 5 piles. Each pile must measure more than 1.5 cups. The inequality you write is \( \frac{f}{5}>1.5 \). Solve the inequality. (1 point) \( f>0.3 \) \( 0 f>6.5 \) \( 0 f>7.5 \) \( O f<7.5 \) Perpendicular lines are best defined as which of the following? A. Lines that never intersect B. Lines that intersect c. Lines that meet to form a right angle D. Lines that are not coplanar Additional Practice For exercises 1-14, given two angles on a triangle, find the measure of the third angle. 1. \( 30^{\circ}, 90^{\circ}, x^{\circ} \) Permission is granted to reproduce for classroom use. 2. \( 34^{\circ}, 81^{\circ}, x^{\circ} \) 3. \( 45^{\circ}, 90^{\circ}, x^{\circ} \) 4. \( 70^{\circ}, 70^{\circ}, x^{\circ} \) 5. \( 40^{\circ}, 100^{\circ}, x^{\circ} \) 6. \( 50^{\circ}, 95^{\circ}, x^{\circ} \) Copyright a McGraw Hill 7. \( 20^{\circ}, 90^{\circ}, x^{\circ} \) 8. \( 60^{\circ}, 60^{\circ}, x^{\circ} \) 9. \( 31^{\circ}, 76^{\circ}, x^{\circ} \) 10. \( 87^{\circ}, 26^{\circ}, x^{\circ} \) 11. \( 73^{\circ}, 16^{\circ}, x^{\circ} \) 12. \( 44^{\circ}, 82^{\circ}, x^{\circ} \) 13. \( 53^{\circ}, 95^{\circ}, x^{\circ} \) 14. \( 22^{\circ}, 98^{\circ}, x^{\circ} \) B. What is the perimeter of the park after the and width are doubled?
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