A particle moves with position function r(t) = (21t- 7t³ - 6)i+21t²j.
Find the tangential component of the acceleration vector. Select the correct answer.
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Solve the problem.A surveyor measured the length of a piece of land at 100-ft intervals (x), as shown in the table. Use Simpson's Rule to estimate the area of the piece of land in square feet.
A. 29,500 ft2 B. 24,000 ft2 C. 24,500 ft2 D. 25,000 ft2
Determine whether the equation is a function.y2 = 5 - x2
A. function B. not a function
Solve the problem.Linda invests src="https://sciemce.com/media/4/ppg__fdf0520191830__f1q117g6.jpg" alt="" style="vertical-align: -4.0px;" /> and 
for one year. Part is invested at 
, another part at 
, and the rest at 
. The total income from all 3 investments is 
. The combined income from the 
investments is the same as the income from the 
investment. Find the amount invested at each rate.
A. $5000 at 5%; $10,000 at 6%; $10,000 at 8%
B. $10,000 at 5%; $5000 at 6%; $10,000 at 8%
C. $8000 at 5%; $10,000 at 6%; $7000 at 8%
D. $10,000 at 5%; $10,000 at 6%; $5000 at 8%
Write the sample space for the given experiment.A day of the week is selected at random
A. {weekend, weekday} B. 7 C. {1, 2, 3, 4, 5, 6, 7} D. {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}