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3 years ago

I don’t understand this, someone help?

Mathematics

1 answer:

tekilochka [14]3 years ago

7 0

From what I can see, it might be wanting you to find the distance of the lines connecting the 2 points. Use then distance formula to do that.

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Which of the following is a statistical question

Karolina [17]

D. How old was each U.S president when he was elected?
Since you would probably need a graph or something to show this.

3 0

3 years ago

Read 2 more answers

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

Every digits + 798 is greater than any digit in 4325 explain why 4325 is greater than 798

maks197457 [2]

<span>It's because there are 4 numbers in 4325, and only 3 in 798.

Hope I Helped You!!! :-)

Have A Good Day!!!</span>

8 0

3 years ago

PLEASE ANSWET FAST!!!

Mazyrski [523]

Answer:

30 ladoos

Step-by-step explanation:

8 0

3 years ago

If you multiply a number by 3 and then add 40, the result is the same as if you add 17 to the number and then multiply by 2. Wha

Finger [1]

Answer:

The number is -6

The second operation is -60

Step-by-step explanation:

Let the number be x.

Solving (a): The value of x

Operations 1:

Multiply by 3: 3x

Add 40: 3x + 40

Operations 2:

Add 17: x + 17

Multiply by 2: (x + 17) * 2

To find x, equate both operations.

$3x + 40 = (x + 17) *2$

$3x + 40 = 2x + 34$

Collect like terms

$3x - 2x = 34 - 40$

$x = -6$

Solving (b):

Operations:

Subtract 9: $x - 9$

Multiply by 4: $(x - 9) * 4$

This gives:

$(x - 9) * 4 = (-6 - 9) * 4$

$(x - 9) * 4 = -15 * 4$

$(x - 9) * 4 = -60$

6 0

2 years ago