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3 years ago

Explain what you can tell just by comparing the symbols in a picture.

Mathematics

2 answers:

MrRa [10]3 years ago

6 0

I honestly domt understand what you are asking and neither will other people,but try looking it up,that mite help

Genrish500 [490]3 years ago

3 0

Just explain what differences you found between the two symbols in the picture.

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In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to doub

Effectus [21]

Answer:

The hourly growth rate is of 4.43%.

The function showing the number of bacteria after t hours is $P(t) = 80(1.0443)^t$

Step-by-step explanation:

Equation of population growth:

The equation for the population after t hours is given by:

$P(t) = P(0)(1+r)^t$

In which P(0) is the initial population and r is the growth rate, as a decimal.

The conditions are such that the number of bacteria is able to double every 16 hours.

This means that $P(16) = 2P(0)$ . We use this to find r.

$P(t) = P(0)(1+r)^t$

$2P(0) = P(0)(1+r)^{16}$

$(1+r)^{16} = 2$

$\sqrt[16]{(1+r)^{16}} = \sqrt[16]{2}$

$1 + r = 2^{\frac{1}{16}}$

$1 + r = 1.0443$

$r = 1.0443 - 1$

$r = 0.0443$

The hourly growth rate is of 4.43%.

80 bacteria are placed in a petri dish.

This means that $P(0) = 80$ .

$P(t) = P(0)(1+r)^t$

$P(t) = 80(1+0.0443)^t$

$P(t) = 80(1.0443)^t$

The function showing the number of bacteria after t hours is $P(t) = 80(1.0443)^t$

6 0

3 years ago

A group of pirates captures Kevin, Lisa, Matt and Neal, and forces them to play a game. They each roll a fair 6-sided-die once.

elena-s [515]

Answer: Option B, 16/81

Step-by-step explanation:

So we have 4 prisoners, they will roll a fair six side die and the product of the four rolls must NOT be a multiple of 3.

We know that every integer number can be "decomposed" into a product of prime numbers.

Then a number N, that is divisible by 3, can be written as:

N = 3*k

Where k is another integer.

Here we will have a product of 4 numbers, each of them are in between 1 and 6.

Now, if only one of the prisoners rolls a 3, then the product of the rolls will always be a multiple of 3. And if one of the rolls is 6 the same will happen, because 6 = 3.2

Then the probability of surviving is when in none of the four rolls we have a 3 or a 6.

Then we must have a 1, 2, 4 or 5.

The probability of 4 outcomes out of 6, is:

P = 4/6.

But we have 4 rolls, so we have that probability four times, and the joint probability will be equal to the product of the probabiliities for each roll, then the probability of surviving is:

P = (4/6)^4 = (2/3)^4 = 16/81

5 0

3 years ago

Read 2 more answers

F(x) = 6x + 7; x = -3

jok3333 [9.3K]

Answer:

1+80×70-80+55-6+12065

8 0

3 years ago

Read 2 more answers

Peak Industries saw a 20% increase in activity levels over the fourth quarter. Which of the following changes should the firm ex

Nutka1998 [239]

Answer:

B : a 20% increase in variable costs

Step-by-step explanation:

Here the industry is seeing a 20% increase in activity levels over the fourth quarter. Since, there has been an increase in activity levels the fixed cost would remain the same but the variable cost being variable would increase with increase in production activity in same proportion as the increase in production.

B : a 20% increase in variable costs

8 0

3 years ago

Helpppppppppppppppppppppppp

kupik [55]

Answer:

$360\ cm^2$