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3 years ago

Do you guys know this by any chance

Mathematics

2 answers:

Ne4ueva [31]3 years ago

8 0

Answer:

$10^{17}$

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

sergeinik [125]3 years ago

8 0

10^17 is the answer

Hope this helped

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A rumor spreads through a small town. Let y ( t ) be the fraction of the population that has heard the rumor at time t and assum

Ivan

Answer:

Differential equation

$\frac{dy}{dt} =ky(1-y)$

Solution

$y=\frac{1}{1+4e^{-0.327t}}$

Value of constant k=0.327 days^(-1)

The rumor reaches 80% at 8.48 days.

Step-by-step explanation:

We know

y(t): proportion of people that heard the rumor

y'(t)=ky(1-y), rate of spread of the rumor

Differential equation

$\frac{dy}{dt} =ky(1-y)$

Solving the differential equation

$\frac{dy}{y(1-y)}=k\cdot dt \\\\\int \frac{dx}{y(1-y)} =k \int dt \\\\-ln(1-\frac{1}{y} )+C_0=kt\\\\1-\frac{1}{y} =Ce^{-kt}\\\\\frac{1}{y} =1-Ce^{-kt}\\\\y=\frac{1}{1-Ce^{-kt}}$

Initial conditions:

$y(0)=0.2\\y(3)=0.4\\\\y(0)=0.2=\frac{1}{1-Ce^0}\\\\1-C=1/0.2\\\\C=1-1/0.2= -4\\\\\\y(3)=0.4=\frac{1}{1+4e^{-3k}} \\\\1+4e^{-3k}=1/0.4\\\\e^{-3k}=(2.5-1)/4=0.375\\\\k=ln(0.375)/(-3)=0.327\\\\\\y=\frac{1}{1+4e^{-0.327t}}$

Value of constant k=0.327 days^(-1)

At what time the rumor reaches 80%?

$y(t)=0.8=\frac{1}{1+4e^{-0.327t}} \\\\1+4e^{-0.327t}=1/0.8=1.25\\\\e^{-0.327t}=(1.25-1)/4=0.0625\\\\t=ln(0.0625)/(-0.327)=8.48$

The rumor reaches 80% at 8.48 days.

8 0

3 years ago

What is the probability of rolling an odd number on one roll of dice

Tresset [83]

Answer: 1/2 or 50%

Step-by-step explanation: To find out what is the probability of rolling an odd number on a dice, we first need to understand what probability is. Probability is the likelihood that an event will happen. We can find the probability of an event using a ratio. Notice that in this problem, we are asked to find the probability of spinning an odd number. This means that the odd numbers will be a favorable outcome.

Image is provided.

7 0

3 years ago

A town has 300 residents in total, of which 5/6 are white/Caucasian Americans. How many white/Caucasian Americans reside in this

Neko [114]

Answer:

250

Step-by-step explanation:

300* 5/6 = 250

3 0

3 years ago

Read 2 more answers

In one day Sasha got 1 hour of sleep for every 3 hours she was awake if there are 24 hours in a day how many hours of sleep did

Gre4nikov [31]

Answer:

Hours slept = 6 hours

Hours awake = 18 hours

Step-by-step explanation:

Sasha got 1 hour of sleep for every 3 hours she was awake.

So,

This means:

Slept : Awake = 1 : 3

Total hours in a day = 24 hours

Let

Hours slept = 1x and hours awake = 3x

Hence,

1x + 3x = 24 hours

4x = 24

Divide both sides by 4

x = 24 / 4

x = 6

So,

Hours slept = 1(6) = 6 hours

Hours awake = 3(6) = 18 hours

$\rule[225]{225}{2}$

Hope this helped!

6 0

2 years ago

The sum of two numbers is 27. The larger number is 3 more than the smaller number. What are the two numbers?

pantera1 [17]

The two numbers are 12 and 15

Solution:

Let the smaller number be "x"

Let the larger number be "y"

Given that,

The sum of two numbers is 27

Therefore, we frame a equation as:

Smaller number + Larger number = 27

x + y = 27 ------ eqn 1

The larger number is 3 more than the smaller number

Larger number = 3 + smaller number

y = 3 + x ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

x + 3 + x = 27

2x + 3 = 27

2x = 27 - 3

2x = 24

Substitute x = 12 in eqn 2

y = 3 + 12

Thus the two numbers are 12 and 15

7 0

2 years ago