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jarptica [38.1K]
3 years ago
14

What expression is equivalent to 4.8 + 2.2w - 1.4 w - 2.4

Mathematics
1 answer:
motikmotik3 years ago
3 0

Answer: =0.8w+2.4

Step-by-step explanation:

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a circular fountain has a radius of 9.4 feet. find its diameter and circumference to the nearest tenth.
Leni [432]
Diameter is 2r, or 18.8 ft

Circumference is 2*pi*r, or 59.1 ft
3 0
3 years ago
Read 2 more answers
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
90 Points. PLEASE HELPPP!!! ILL SELECT BRAINLIESST
forsale [732]

Answer:

Step-by-step explanation:

A)

these are the intervals of people who are at least adults and are mature enough to take the survey seriously and answer correctly.

B)

You can say with 95 percent certain of the real mean of the population, but you acknowledge that due to difficulties such as, sampling error, real-life problems such as bad weather, bad vision of the surveyed, not knowing the language and due to bad wording, your answers are unsure is the range  of 8 percent due the fluctuation of data caused by bad circumstances.

C)

I believe there should be a quota of 50 to 50 percent to make the data the most equal, though I understand that there may not be an equal distribution of land and cell lines among the U.S. mature populace.

D)

(Since I don't have the data, I can't answer part 4)

6 0
3 years ago
A rectangular solid has sides of 7 cm + 9 cm + 11 cm what<br> is its surface area
alina1380 [7]

Your answer would be: <em>693.</em>

Explanation:

When finding the area in a problem use <em>L×W×H</em>.

That being said, you now have to multiply the <em>L×W×H</em> (7x9x11)

7 × 9 × 11 = <em>693</em>

So the answer would be <em>693</em> because, if you are finding an area you use <em>L×W×H</em> to find your area.


6 0
3 years ago
Read 2 more answers
Need help please and thank you.
AURORKA [14]
X+3=61
x=61-3=58

58+37=95
180-95=85

so x=58 and y=85
5 0
2 years ago
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