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2 years ago

6

Explain how to determine the smaller of 0.24 and 0.3 using the number line.

1 answer:

ololo11 [35]2 years ago

3 0

0.24 is smaller than 0.3 because as you approach zero from the right, there's less distance from 0.24 to 0 than 0.3. Think of this in terms of limits.

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Find the arc length of a central angle of 300° in a circle whose radius is 2inches

Svetradugi [14.3K]

360 degrees is the whole circumference.
300 degrees is 300/360 of the circumference.
The circumference: pi*r*2 = 4*pi = approximately 12.566.
300/360*12.566=10.472 = answer

8 0

2 years ago

Find the general solution of (x+3)y’=2y

gregori [183]

Answer:

$y=C(x+3)^2$

Step-by-step explanation:

We are given:

$\displaystyle (x+3)y^\prime=2y$

Separation of Variables:

$\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}$

So:

$\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx$

Integrate:

$\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx$

Integrate:

$\displaystyle \ln|y|=2\ln|x+3|+C$

Raise both sides to e:

$|y|=e^{2\ln|x+3|+C}$

Simplify:

$|y|=(e^{\ln|x+3|})^2\cdot e^C$

So:

$|y|=C|x+3|^2$

Simplify:

$y=\pm C(x+3)^2=C(x+3)^2$

5 0

2 years ago

Consider the sequence: 11, 21, 31, …, … , … What is the nth term of this sequence ?

LuckyWell [14K]

I would say that the "n"th term of the sequence is 41, as the pattern increases by 10 every term.

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2 years ago

These tables of value represent continuous functions. In which table do the values represent an exponential function?

oksano4ka [1.4K]

Answer:

B.

Step-by-step explanation:

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But B increments by 2x (2 times)

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2 years ago

Help please:(.....................

Vlada [557]

35

area of triangle is (base X height)/2
so it would be (14 X 5)/2
which is 70/2
which is 35

5 0

2 years ago

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