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3 years ago

Write the following number as an improper fraction: -12 2/3

Mathematics

2 answers:

nalin [4]3 years ago

7 0

12 (3) = 36
36+2= 38
so the answer is -38/3

STatiana [176]3 years ago

5 0

-38/ 3

Step-by-step explanation:

hope it helps!

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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

Jessie works at a car manufacturing plant. One day she installed a total of 46 axles, 2 in each car she worked on. She wants to

shtirl [24]

Answer:

Step-by-step explanation:

total number of cars: x

the total number of axles: 46

and the number of axles installed per car: 2

2 axles in each car, then total instaled axles: 2•x

2•x = 46

x = 46÷2

x = 23

5 0

3 years ago

I'm terrible at fractions I need help

ICE Princess25 [194]

Answer:

4/5

Step-by-step explanation:

8 0

3 years ago

Find the slope of the line through the<br> given points: (2,6) & (5, 6)

snow_tiger [21]

Answer:

Zero Slope

Step-by-step explanation:

rise over run or y2 - y1 / x2 - x1

6-6/5-2 = 0/3

5 0

3 years ago

At a farmers market you buy 4 pounds of toamtoes(3$ each) and 2 pounds of sweet potatoes (2$ each). You spend 80% of he money in

Artyom0805 [142]

4*3=12
2*2=4
12+4=16
16/4=4
4*5=20
Therefore, $20 was the original amount of money in your wallet.

7 0

4 years ago