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AlekseyPX
3 years ago
8

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example tha

t disproves the statement.
The equation y' = 3y - 2x + 6xy - 1 is separable.
Mathematics
1 answer:
ioda3 years ago
3 0
True.

You're allowed to move stuff around. Dogs of the AMS.

y' = 3y - 2x + 6xy - 1 \\
y' = 3y + 6xy - 2x - 1 \\
dy/dx= 3y(1 + 2x) - (2x + 1) \\
dy/dx = 3y(1 + 2x) - (1 + 2x) \\
\frac{dy}{dx} = (3y - 1)(1 + 2x) \ \Rightarrow\ \dfrac{dy}{3y-1} = (1 + 2x) dx

We wrote it in the form dy/dx = g(x) f(y) so this is separable.
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A coin is tossed three times. what is the probability of getting two heads and one tail?
Lera25 [3.4K]
If the order doesn't matter, then the probability is 37.5%
If it has to be head head tail, then the probability is 12.5%

If the order doesn't matter, the possible outcomes that have two heads and one tail are HHT, HTH, and THH. Since these all have a probability of 12.5% of occuring, the probability of any of them occuring is 37.5%
7 0
3 years ago
Read 2 more answers
Draw 8 lines that are between 1 inch and 3 inches long measure each line to the nearest fourth inch and make a line plot
Paraphin [41]
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6 0
3 years ago
A light bulb filament is one-hundredth of an inch thick, with an allowable error of 2 percent. What is the least allowable thick
Andreyy89

Answer:

0.00998 Inches

Step-by-step explanation:

Thickness of the light bulb filament = 0.01 Inch

Allowable error = 2%.

2% of 0.01 = 0.02 X 0.01 =0.0002 Inch

Therefore, the allowable thickness of the bulb filament

=0.01 \pm 0.0002 $ Inches

We can then calculate the least allowable thickness of the filament as:

=0.01 - 0.0002 \\=0.00998$ Inches

The least allowable thickness of the filament is 0.00998 Inches.

3 0
3 years ago
What is an equivalent expression to 9(c+5)?
Thepotemich [5.8K]
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4 0
3 years ago
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The population of algae in an
mezya [45]

The equation is y = 20(1.40)^x

where x is the number of days and y is the future amount after x days go by

The 1.40 is from the fact that 1+r = 1+0.40 = 1.40, where r is the decimal form of 40%, so r = 0.40

-----------------------------

Plug in x = 7 to get

y = 20(1.40)^x

y = 20(1.40)^7

y = 210.827008

y = 211

We round to the nearest whole number since it doesn't make much sense to have a fractional portion of an algae. After 7 days, there are about <u>211</u> algae.

5 0
3 years ago
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