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Marrrta [24]
3 years ago
15

Simplify, must end in positive exponent :)

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
8 0

Answer:

b^4

Step-by-step explanation:

have a good day

vichka [17]3 years ago
7 0

Step-by-step explanation:

\frac{ ({b}^{8}) (b)}{(b)^{5} }  \\  =  \frac{ {b}^{8 + 1} }{ {b}^{5} }  \\  =  \frac{ {b}^{9} }{ {b}^{5} }  \\  =  {b}^{9 - 5}  \\  =  {b}^{4}

Hope it will help :)

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Using Newton's Law of Cooling. You are a medical examiner called to an abandoned house in which a dead body has been discovered.
Artyom0805 [142]
A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.
\frac{dT}{dt} = \alpha(T -52)

B) Find general solution by separating variables and integrating\int\frac{dT}{T-52} = \alpha \int dt   \\  ln (T-52) = \alpha t + C  \\  T = C e^{\alpha t} +52:


C) Initial condition is t=0, T = 87
87 = C +52 \\  C = 35

D) Total time elapsed is 10 minutes, new temperature is 84
84 = 35 e^{10\alpha} +52
solve for alpha
e^{10\alpha} =\frac{32}{35}  \\  \alpha = \frac{ln(32/35)}{10} \\  \alpha = -.00896

E) Temperature function is:
T = 35 e^{-.00896 t} +52
solving for t
t = \frac{ln (\frac{T-52}{35})}{-.00896}
Plug in T = 98.6
t = -31.95

This is approximately 32 minutes before he arrived or about 1:20 AM
3 0
3 years ago
A regular polyhedron whose six faces are congruent squares
valentinak56 [21]

Answer:

True

Step-by-step explanation:

5 0
3 years ago
Jenny’s family is traveling on a long road trip. The first day they traveled 11,405.59 yards. On the second day they traveled 12
trapecia [35]

Answer:

32468.41 yards

Step-by-step explanation:

11,405.59 + 12,048.82 + 9,014 = 32468.41

32468.41 yards

5 0
2 years ago
Please help mee Which graph shows a set of ordered pairs that represent a function?
Mekhanik [1.2K]

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Step-by-step explanation:

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Read 2 more answers
A taxi cab charges $1.50 for the flat fee and $0.50 for each mile. Write an inequality to determine how many miles Sharon can tr
Korvikt [17]

Answer:

C. 0.50x+1.50\leq 25

Step-by-step explanation:

Let x represent number of miles.

We have been given that a taxi cab charges $1.50 for the flat fee and $0.50 for each mile.

The cost of riding x miles would be 0.50x and the total cost of riding x miles would be 0.50x+1.50.

Since Sharon has only $25 to spend on the taxi ride, so the cost of riding x miles on taxi must be less than or equal to 25.

We can represent this information in an inequality as:

0.50x+1.50\leq 25

Therefore, option C is the correct choice.

7 0
3 years ago
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