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Mathematics

1 answer:

liq [111]3 years ago

6 0

The answer is A.

40 degrees celsius to Fahrenheit is 104 degrees fahrenheit.

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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

bija089 [108]

Answer: $\bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}$

b) 5314

c) ln 2.7

d) 4.6 hrs

Step-by-step explanation:

$P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}$

$10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}$

4 0

3 years ago

What is the greatest common factor of 24, 36, and 72? A) 9 B) 12 C) 24 D) 18

den301095 [7]

Answer:B

Step-by-step explanation:

You can find the GCF by seeing if the number is divisible so for 9 24/9 isn’t a integer so no for 12 24 36 and 72 are divisible so it maybe the answer for 24 36/24 isnt a integer for 18 24/18 isn’t a integer

6 0

3 years ago

Read 2 more answers

Expand the binomial (a+2)^4

dimaraw [331]

Answer:

Step-by-step explanation: