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expertsolution · Answer

please find the attachment. read this well and develop your knowledge and understanding and then use it for your excellent grades. leave a healthy feedback as this is my real reward for completing this answer as a tutorial.here it is evaluated each of the real-world polynomial expressions.

4. how far has the ball fallen after one second?
 the polynomial is:
  
h=−16t2+6h = -16t^2 + 6   
substitute t=1t = 1:
  
h=−16(1)2+6=−16+6=−10h = -16(1)^2 + 6 = -16 + 6 = -10   
answer: –10 feet
 (note: a negative value suggests a modeling issue. since height can't be negative in this context, the formula likely represents displacement from a starting point, not total depth. but based purely on evaluating the polynomial, the answer is –10.)

5. how deep is the well if the ball takes 3.2 seconds to hit bottom?
 use the same formula:
  
h=−16t2+6h = -16t^2 + 6   
substitute t=3.2t = 3.2:
  
h=−16(3.2)2+6=−16(10.24)+6=−163.84+6=−157.84h = -16(3.2)^2 + 6 = -16(10.24) + 6 = -163.84 + 6 = -157.84   
answer: –157.84 feet
 (again, this negative result implies downward displacement. the well is 157.84 feet deep.)

6. evaluate
  
x(3x2+25)(10x2+4x+6)x(3x^2 + 25)(10x^2 + 4x + 6)   
with x=2x = 2:
  
step 1:
  
3(2)2+25=3(4)+25=12+25=373(2)^2 + 25 = 3(4) + 25 = 12 + 25 = 37   
step 2:
  
10(2)2+4(2)+6=10(4)+8+6=40+8+6=5410(2)^2 + 4(2) + 6 = 10(4) + 8 + 6 = 40 + 8 + 6 = 54   
step 3:
  
2×37×54=74×54=39962 × 37 × 54 = 74 × 54 = 3996   
answer: 3,996 cubic inches

satis · Answer

given : h = -16t^2 + 6, where h is the the distance fallen by the ball in feet and t is the time in seconds.
4. here t = 1 sec
 h = -16t^2 + 6 = -16*1^2 + 6 = -16 + 6 = -10 
negative sign for for falling bellow the ground
so, the ball has fallen 10 feet after 1 sec.
5. charlize's stopwatch measured 3.2 sec, when the ball hit the bottom of the well.
t = 3.2 sec
 h = -16t^2 + 6 = -16*(3.2)^2 + 6 = -16*10.24 + 6 = -163.84 + 6 = -157.84
so, the well is 157.84 feet deep

6. the given polynomial expression is x(3x^2 + 25)(10x2 + 4x + 6), where x is in inches
the contractor used x = 2 
 x(3x^2 + 25)(10x2 + 4x + 6) = 2(3*2^2 + 25)( 10*2^2 + 4*2 + 6)
= 2(3*4 + 25)(10*4+ 8 + 6)
= 2(12 + 25)(40 + 8 + 6)
= 2 * 37 * 54
= 3996
so, the new porch needed 3996 cubic inches of cement.

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