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Gnoma [55]
3 years ago
13

HELP ME WITH MY I-READY IM TRYING TO GET STUDENT OF THE MONTH PLZ HELP or it will get juicy

Mathematics
1 answer:
NISA [10]3 years ago
8 0

Answer: its four inches

Step-by-step explanation:

one green block is 1 inch and there is 4 green blocks meaning that it is four inches

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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
At 4:30pm, the thermometer outside of Yasmine's window read 40*C. It had risen 8* between noon and 4:30pm and 5* between 7:00am
Natalija [7]
32* I belive if it had risen 8 degrees then 40 minus 8 is 32

4 0
3 years ago
Complete the following statement.<br><br> ___ (-9) = -10
g100num [7]
Answer:

-1

Explanation:

X - 9 = -10
+9 +9
——————
X = -1
3 0
3 years ago
Evaluate<br><br> a. 6!<br><br> b. 8P5<br><br> c. 12C4
erik [133]
I'm pretty sure that the answer is 12C4 = (12p4)/4! = (12*11*10*9)/4*3*2*1 = 495

Hope this helps
4 0
2 years ago
Can you write a ratio for one number in more than one way ?
notsponge [240]
Yes you can write a ratio in more than one way
7 0
3 years ago
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