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Firdavs [7]
3 years ago
15

A certain number exceeds 18 by as much as 44 exceed the number. What is the number?

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

Answer:

x=31  is the required number.

Step-by-step explanation:

Let the number be represented as "x".

Then, According to the statement given, "x" exceeds by as much as 44 exceed the number, then the equation can be written as:

⇒x-18=44-x

⇒x+x=44+18

⇒2x=62

⇒x=31

Hence, the required number is x =31.

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Answer:

is that 32 / 3 or 3^2/3 ...?

Step-by-step explanation:

if 32/3 and 51/7

then answer will be 1120/17

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2 years ago
Which of the following r-values represents the strongest correlation?
cupoosta [38]

Answer: -0.71

Step-by-step explanation:

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3 years ago
A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium d
nikitadnepr [17]

Answer:

a) k=2.08 1/hour

b) The exponential growth model can be written as:

P(t)=Ce^{kt}

c) 977,435,644 cells

d) 2.033 billions cells per hour.

e) 2.81 hours.

Step-by-step explanation:

We have a model of exponential growth.

We know that the population duplicates every 20 minutes (t=0.33).

The initial population is P(t=0)=58.

The exponential growth model can be written as:

P(t)=Ce^{kt}

For t=0, we have:

P(0)=Ce^0=C=58

If we use the duplication time, we have:

P(t+0.33)=2P(t)\\\\58e^{k(t+0.33)}=2\cdot58e^{kt}\\\\e^{0.33k}=2\\\\0.33k=ln(2)\\\\k=ln(2)/0.33=2.08

Then, we have the model as:

P(t)=58e^{2.08t}

The relative growth rate (RGR) is defined, if P is the population and t the time, as:

RGR=\dfrac{1}{P}\dfrac{dP}{dt}=k

In this case, the RGR is k=2.08 1/h.

After 8 hours, we will have:

P(8)=58e^{2.08\cdot8}=58e^{16.64}=58\cdot 16,852,338= 977,435,644

The rate of growth can be calculated as dP/dt and is:

dP/dt=58[2.08\cdot e^{2.08t}]=120.64e^2.08t=2.08P(t)

For t=8, the rate of growth is:

dP/dt(8)=2.08P(8)=2.08\cdot 977,435,644 = 2,033,066,140

(2.033 billions cells per hour).

We can calculate when the population will reach 20,000 cells as:

P(t)=20,000\\\\58e^{2.08t}=20,000\\\\e^{2.08t}=20,000/58\approx344.827\\\\2.08t=ln(344.827)\approx5.843\\\\t=5.843/2.08\approx2.81

3 0
3 years ago
If you flip a coin 3 times, what is the probiilty of flipping heads 3 times?
insens350 [35]
The chance on flipping heads once is 1/2 
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8 0
3 years ago
Read 2 more answers
A fair coin is tossed 5 times in a row. The exact probability of the coin landing heads exactly 2 times is?
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|\Omega|=2^5=32\\|A|=10\\\\P(A)=\dfrac{10}{32}=\dfrac{5}{16}

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