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Satyam Gupta verified

Numerade educator

In Exercises $23-30,$ Ind the distance between the two points. (See Example $4 . )$ $$ mathrm{G}(-5,4) ext { and } mathrm{H}(2,6) $$

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Pritesh Ranjan verified

Numerade educator

An average human weighs about 650 N. If each of two average humans could carry 1.0 C of excess charge, one positive and one negative, how far apart would they have to be for the electric attraction between them to equal their 650-N weight?

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Debasish Das verified

Numerade educator

Greg said that $|a-b|=|b-a| .$ Do you agree with Greg? Explain why or why not.

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Jennifer Hudspeth verified

Numerade educator

You record the following in your lab book: a liquid is thick and has a density of 4.58 g/mL. Which data is qualitative? Which is quantitative?

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Teresa Fuston verified

Numerade educator

The profit $ P $ (in hundreds of dollars) that a company makes depends on the amount $ x $ (in hundreds of dollars) the company spends on advertising according to the model $ P = 230 + 20x - 0.5x^2 $. What expenditure for advertising will yield a maximum profit?

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Jon Southam verified

Numerade educator

How Tall Is the Great Pyramid? The ancient Greek philosopher Thales of Miletus is reported on one occasion to have visited Egypt and calculated the height of the Great Pyramid of Cheops by means of shadow reckoning. Thales knew that each side of the base of the pyramid was 252 paces and that his own height was 2 paces. He measured the length of the pyramid's shadow to be 114 paces and determined the length of his shadow to be 3 paces. See the illustration. Using similar triangles, determine the height of the Great Pyramid in terms of the number of paces.

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INSTANT ANSWER

Show that in any set of six classes, each meeting regularly once a week on a particular day of the week, there must be two that meet on the same day, assuming that no classes are held on weekends.

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Leon Druch verified

Numerade educator

Choose the correct statement about the graph of the line $y=-3$ (a) The graph is vertical with $x$ -intercept $-3$ (b) The graph is horizontal with $y$ -intercept $-3$ (c) The graph is vertical with $y$ -intercept $-3$ (d) The graph is horizontal with $x$ -intercept $-3$

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Ma Ednelyn Lim verified

Numerade educator

Two sound waves of the same frequency can interfere, but, in order to produce bcats, the two sound waves must have different frequencies. Why?

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Darshan Maheshwari verified

Numerade educator

The current world-record motorcycle jump is 77.0 $\mathrm{m}$ set by Jason Renie. Assume that he left the take-off ramp at $12.0^{\circ}$ to the horizontal and that the take-off and landing heights are the same. Neglecting air drag, determine his take-off speed.

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