Provide an appropriate response.A particle travels along a straight line path according to the equation of motion s = 4t3 + 2t2 + 1, where t is in seconds and s is in meters. Find the velocity of the particle at t = 2.

Fill in the blank(s) with the appropriate word(s).


56 m/s

Mathematics

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Find the center, foci, and vertices of the ellipse.36(x + 3)2 + 25(y + 1)2 = 900

A. center at (-1, -3)
foci at (-1, -3 - ), (-1, -3 + )
vertices at (-1, 5), (-1, -7)
B. center at (3, -1)
foci at (3, -1 - ), (3, -1 + )
vertices at (3, 5), (3, -7)
C. center at (-3, -1)
foci at (-3, -1 - ), (-3, -1 + )
vertices at (-3, 5), (-3, -7)
D. center at (-2, -1)
foci at (-2, -1 - ), (-2, -1 + )
vertices at (-2, 5), (-2, -7)

Mathematics

Find the equation of the outer rim of the circular arch shown below. Express the equation in standard form. ? ?

What will be an ideal response?

Mathematics

Solve the equation. -  = 4

A. {-60} B. {120} C. {60} D. {-120}

Mathematics

Solve the inequality.In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at least . Find the Celsius temperatures at which the reaction may occur.  Round your answer to hundredths of a degree.

A. C ? 222.48°F B. C ? 41.01°F C. C ? 41.01°F D. C < 222.48°F

Mathematics