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shepuryov [24]
3 years ago
5

What would be equivalent to 9 to the second power * 9 to the 6th power

Mathematics
1 answer:
Elenna [48]3 years ago
7 0
9^2= 9x9= 81. 9^6= 9x9 = 81, 81x9= 729, 729x9= 6561x9= 59049, 59049x9= 531441. So, 81 x 531441 = <span>43046721 :) Hope this helps! Can I get brainliest?</span>
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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
Select the two values of x that are roots of this equation.
VMariaS [17]

Answer:

x = 2, -3

Step-by-step explanation:

x^2 + 2x- 6 = 0\\=>x^2 +3x - 2x- 6 = 0\\=>x(x+3) - 2(x +3) = 0\\=> (x-2)(x+3) = 0\\\\

(x-2)  = 0     or (x+3) = 0

x = 2  or x = -3

Thus, two values of x are x = 2, -3

Note: The options given are incorrect.

4 0
3 years ago
Can someone plz help me on 4-6
Anna [14]
The answer to 4-6 is negative 2
3 0
3 years ago
The City Housing Authority has received 50 applications from qualified applicants for eight low-income apartments. Three of the
OlgaM077 [116]
The probability that both specific qualified applicants will be among the eight selected is given by:
P(2\ specified)=\frac{2C2\times 48C6}{50C8}=0.0229
The probability that the two will get apartments on the North side is given by:
P(North)=\frac{3C2\times5C0}{8C2}=0.107
The probability that the two will get apartments on the South side is given by:
P(South)=\frac{5C2\times3C0}{8C2}=0.357
The events '2 apartments on North side' and '2 apartments on South side' are mutually exclusive. Therefore the probability the two specific qualified applicants will be on the same side of town is 0.107 + 0.357 = 0.464.
Finally, the probability that two specific qualified applicants will be selected for apartments on the same side of town is found from:
0.0229\times0.464=0.01063


4 0
3 years ago
Read 2 more answers
(8r + 5) - (3r + 5)<br><br> help a sista out &lt;3
Rufina [12.5K]

Answer:

5r

Step-by-step explanation:

(8r + 5) - (3r + 5)

8r + 5 - 3r - 5

5r

8 0
3 years ago
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