Answer:

Time for bacteria count reaching 8019: t = 2.543 hours
Step-by-step explanation:
To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:




Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:


Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.
Answer:
C - 19 hours 27 minutes
Step-by-step explanation:
180 × 2 = 360
360 calories in an hour
3500 × 2 = 7000 (amount of calories in 2 pounds)
7000 ÷ 360 = 19.4444...
I hope this helps
Answer:
b
Step-by-step explanation:
Answer:
RS 3127.166
RS 107.834
Step-by-step explanation:
6 month bill :
Drawn date = Feb, 3
Discounted date = March 3,
Difference = 1 month
6 month - 1 month = 5 months = 5 * 30 = 150 days
Value of the bill :
P(1 - rate * time)
3235(1 - 0.08 * 150/360)
3235(1 - 0.08 * 0.4166666)
3235(1 - 0.0333333)
3235(0.9666666)
= Rs3127.1666
Value of bill = 3127.166
Bankers gain = 3235 - 3127.166 = 107.834
Solution:
We have: In the attached image, observe rectangle triangle ΔBAD
Use the Pythagorean Theorem:
BD = √(AB² + AD²)
BD = √(2² + 4²)
BD = √(4 + 16)
BD = √20
In the attached image, observe rectangle triangle ΔBDH
Use the Pythagorean Theorem:
BH = √(BD² + DH²)
BH = √(√20² + 5²)
BH = √(20 + 25)
BH = √45
BH = √(9 × 5)
BH = √9 × √ 5
BH = 3√5
BH = 3 × 2.24
BH = 6.72 cm