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Questions in mathematics

[Done] An engineer is designing a parabolic arch. The arch must be 15 m high and 6 m wide at the height of 8 m. Determine a quadratic function that satisfies these conditions.

[Done] Find all zeros of the function and write the polynomial as a product of linear factors. \[ f(x) = x^4 + 29x^2 + 100 \]

[Done] What is \(\frac{5 \frac{3}{4}}{2} \times \frac{1}{6}\)?

[Done] What is the answer to the expression \(\frac{x+7}{7x+35} \cdot \frac{x^2-3x-40}{x-8}\)?

[Done] Simplify: [tex](6r^4s^3)(9rs^2)[/tex]

[Done] The measure of angle F is 130 degrees. A part of angle F measures 70 degrees. What is the measure of the other part of the angle?

[Done] Two fourths is _____________ pieces of the whole.

[Done] Seven tenths is _________ pieces of the whole.

[Done] Is 0.01 less than 0.07?

[Done] In a first aid kit, the ratio of large bandages to small bandages is 3 to 2. Based on this ratio, how many large bandages are in the kit if there are a total of 80 bandages?