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solong [7]
3 years ago
12

What does -2/3 (x + 5) + 4 (x + 5) - 10/3 (x + 5) equal

Mathematics
1 answer:
Kitty [74]3 years ago
4 0

Answer: 0

Step-by-step explanation:

-\frac{2}{3}(x+5)+4(x+5)-\frac{10}{3}(x+5) = ?

-\frac{2}{3}x-\frac{10}{3}x+4x+20-\frac{10}{3}x-\frac{50}{3} = ?

(-\frac{2}{3}x+4x -\frac{10}{3}x) +(-\frac{10}{3}+20-\frac{50}{3})=?

(-\frac{12}{3}x+4x)+(-\frac{60}{3}+20)=?\\  (-4x+4x)+(-20+20)=?\\0+0=0

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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

<u>Step-by-step explanation:</u>

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
Which term is a word for an initial amount of money that is borrowed or invested?
ozzi

Answer:

principal is the correct answer

Step-by-step explanation:

principal is the correct answer

5 0
3 years ago
Read 2 more answers
PLEASE HELP! Explain your answer, THANK YOU!
Misha Larkins [42]

Answer:

-2/-3

Step-by-step explanation:

(75, 60) (45, 40)

75       60               since 75 is larger than 45, we subtract = -30

45       40               since 60 is larger than 40, we subtract = -20

= -20/-30

reduce

= -2/-3

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To simplify i^82, divide 82 by. the answer is 20 with remainder 2
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What is an angle coterminal to 5pi/7
grigory [225]
(5*180)/7=900/7=128.5714285714286

The angle is approximately 129 degrees.
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