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2 years ago

A 11-inch board is cut into 6 equal length pieces. How long is each piece?

Mathematics

1 answer:

Dennis_Churaev [7]2 years ago

4 0

Answer:

1.8inches or 1.83in repeating.

Step-by-step explanation:

divide 11 by 6. you get the decimal 1.83333333. you can either round to 1.8 or do 1.83 with a repeating symbol over the three (small dash above the number).

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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 assume t

sladkih [1.3K]

Answer:

The answer is shown below

Step-by-step explanation:

Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.

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

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

where k is the constant of proportionality, dy/dt = rate at which the rumor spreads

$\frac{dy}{dt}=ky(1-y)\\\frac{dy}{y(1-y)}=kdt\\\int\limits {\frac{dy}{y(1-y)}} \, =\int\limit {kdt}\\\int\limits {\frac{dy}{y}} +\int\limits {\frac{dy}{1-y}} =\int\limit {kdt}\\\\ln(y)-ln(1-y)=kt+c\\ln(\frac{y}{1-y}) =kt+c\\taking \ exponential \ of\ both \ sides\\\frac{y}{1-y} =e^{kt+c}\\\frac{y}{1-y} =e^{kt}e^c\\let\ A=e^c\\\frac{y}{1-y} =Ae^{kt}\\y=(1-y)Ae^{kt}\\y=\frac{Ae^{kt}}{1+Ae^{kt}} \\at \ t=0,y=10\%\\0.1=\frac{Ae^{k*0}}{1+Ae^{k*0}} \\0.1=\frac{A}{1+A} \\A=\frac{1}{9} \\$

$y=\frac{\frac{1}{9} e^{kt}}{1+\frac{1}{9} e^{kt}}\\y=\frac{1}{1+9e^{-kt}}$

At t = 2, y = 40% = 0.4

c) At y = 75% = 0.75

$y=\frac{1}{1+9e^{-0.8959t}}\\0.75=\frac{1}{1+9e^{-0.8959t}}\\t=3.68\ days$

5 0

2 years ago

Solve for n. 39 = n − –12 n =

Cloud [144]

Answer:

Two negative make a positive so this equation is basically 39 = n + 12 so you need to subtract 12 from each side. This makes it n = 27

Hope this helps!

6 0

2 years ago

Can u guys PLEASE answer this question ASAP.

Andrej [43]

Answer:

1. Interest: $166.67

Principal: $6,166.67

2. Interest: $200.00

Principal: $5,200.00

Explanation:

1. $6000 for 50 days at 20% p.a

In 20% pa, pa means "per annum", i.e. "per year".

Assume simple interest:

Principal: $6,000

interest: 20% pa

time = 50 days

Interest:

Interest = Principal × number of days × annual rate / 360

Interest = $6,000 × 50 × 20% / 360 = $166.67

Principal = principal + interest = $6,000 + $166.67 = $6,166.67

2. $5000 for 5 months at 0.8% per month

Assume, again, simple interest.

Principal: $5,000

interest: 0.80% per month

time = 5 months

Interest:

Interest = Principal × number of months × montly rate

Interest = $5,000 × 5 × 0.80% = $200.00

Principal = principal + interest = $5,000 + $200.00 = $5,200

You can see that the accrued interests depend on the principal, the interest rate, and the time.

8 0

2 years ago

Please help... I'm stuck on number 44 and I can't remember how to do it

Leona [35]

3(x+4)=9
3x+12=9
3x=-3
x=-1

Hope this helps :D

3 0

3 years ago

Read 2 more answers

The price of the bicycle that Rocco wants to buy is $282. How much will Rocco pay for the bicycle if the state tax rate is 4%?

olasank [31]

Answer:

Rocco payes $292.28

Step-by-step explanation:

Because it is an increase so you put 104% over 100% in fraction form and then you put 282 at the bottom of another part of a fraction then you do 100 divided by 282 and you get 2.82 so then you take that 2.82 and you multiply it by 104% and you get 292.28 you can use a calculator to check but i know i did it correctly

5 0

2 years ago