Evaluate: 3(2)5. work and explanation please!

Mathematics

1 answer:

Yanka [14]3 years ago

7 0

Bacically multiply 3 by 2 which is 6 then multiply that by 5 which is 30

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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:

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

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

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Ann opened a new savings account with an initial deposit of $250. Which combination will result in a zero in balance in Ann's ac

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C. (10x3)10 - (27.5x2)10 = 0

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Rochy deposited $400 in her checking account. She wrote a check for $400 to pay for her car note. Then , she made another deposi

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Answer:

$500

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She pick in $400, she took that $400 out so she would then have $0

She then inserted $500 back in with no money previously

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Read 2 more answers

99. What is the greatest prime factor of 5,355? A. 17 B. 51 C. 119 D. 131 E. 153

NemiM [27]

Hello,

5355 is divisble by 3 since 5+3+5+5=18 is divisible by 3
5355=3*1785
1785 is divisble by 3 since 1+7+8+5=21 is divisible by 3
1785=3*595
595 is not divisible by 3 but by 5
595=5*119
119 is divisible by 7 since 1*2+1*3+9*1=14 is divisible by 7.
119=7*17

17 is prime
Answer A

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A factory produced 8,500 soccer balls last

Marysya12 [62]

Answer:

Step-by-step explanation:

8500 x .09 = 765

8500 + 765 = 9265

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