Answer:
a) -2t²+12t+15 b) 25, 31 c) 26
Step-by-step explanation:
a) To find out rate, we will take derivative of the given equation
dN/dt= -2t2+12t+15
b) At 9 am , it will be 1hr since the start of morning shift so t=1
dN/dt= -2(1)²+12(1)+15
dN/dt=25
At 10 am, it will 2 hrs since the start of morining shift be so t=2
dN/dt=-2(2)²+12(2)+15
DN/dt= 31
c) N(2)-N(1)= (-(2)³+6(2)²+15(2))-(-(1)³+6(1)²+15(1))
=(46)-(20))
= 26
Answer:
D) n^6 - 6m^6 + 7mn^5 + 14m^2n^4 -5m^3 n^3
Step-by-step explanation:
The given polynomial is 8mn^5 -2m^6 +5m^2 n^4 - m^3 n^3 + n^6 - 4m^6 + 9m^2n^4 -mn^5 - 4m^3n^3
Now we have to identify the like terms and simplify.
Like terms are nothing but the terms which have the same variables with same powers.
= (8mn^5 - mn^5) -2m^6 - 4m^6 + 5m^2 n^4 + 9m^2 n^4 - m^3n^3 - 4m^3n^3 +n^6
Now combine the like terms
= 7mn^5 - 6m^6 +14m^2 n^4-5m^3n^3 + n^6
It can be written in standard form
= n^6 - 6m^6 + 7mn^5 + 14m^2n^4 -5m^3 n^3
The answer is D)
Hope this will helpful.
Thank you.
Answer:
1.53 would be the answer
Step-by-step explanation:
If you are rounding to the nearest hundredth you are rounding to the 2nd decimal place. Since the next number is under 5, we would just drop it.
Knowns:
C = mx + b
m = 367
b = 1500
C = 367x + 1500
Cost (c) = 16,600
16600 = 367x + 1500
subtract 1500 from both sides
15,100 = 367x
Divide both sides by 367
x = 41.14
41 Students can attend the trip! Hope this helps
