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3 years ago

What is the DOMAIN of the relationship shown here?

Mathematics

2 answers:

Lapatulllka [165]3 years ago

8 0

Answer:

Step-by-step explanation:

All "x" values

x ∈ ( - ∞ , ∞ )

Illusion [34]3 years ago

3 0

Jakjjajajajajajajajsjsjs

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The perimeter of a quadrant of a circle is 71.4cm. Find its area

Karolina [17]

Answer:

circle: 6490.9 cm², quadrant: 1622.7 cm²

Step-by-step explanation:

The circumference of the entire circle is known as 2πr and it is 4 times the given value, since a circle has 4 quadrants:

2πr = 4·71.4 = 285.6, so r = 285.6 / 2π ≈ 45.45

The area of a circle is πr², filling in the value for r we just found:

πr² = π 45.45² ≈ 6490.9 cm²

So the area of a quadrant is one fourth of that:

6490.9/4 = 1622.7 cm²

The question about "its area" can denote the entire circle, or just the quadrant, so two answers are provided.

8 0

2 years ago

Read 2 more answers

Please help me???? I need ASAP

Assoli18 [71]

Answer:

Step-by-step explanation:

4 0

3 years ago

A cuboid with dimensions 45 cm by 16 cm by 12 cm is cut to form smaller cubes of

LenKa [72]

Answer:

135 cubes

Step-by-step explanation:

Volume of cuboid :

45 x 16 x 12
720 x 12
8,640 cm³

Volume of a small cube :

(4)³
64 cm³

Number of cubes :

n = 8,640/64
n = 135 cubes

4 0

2 years ago

Use the power series for 1 1−x to find a power series representation of f(x) = ln(1−x). What is the radius of convergence? (Note

Viktor [21]

a. Recall that

$\displaystyle\int\frac{\mathrm dx}{1-x}=-\ln|1-x|+C$

For $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n$

By integrating both sides, we get

$\displaystyle-\ln(1-x)=C+\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}$

If $x=0$ , then

$\displaystyle-\ln1=C+\sum_{n=0}^\infty\frac{0^{n+1}}{n+1}\implies 0=C+0\implies C=0$

so that

$\displaystyle\ln(1-x)=-\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}$

We can shift the index to simplify the sum slightly.

$\displaystyle\ln(1-x)=-\sum_{n=1}^\infty\frac{x^n}n$

b. The power series for $x\ln(1-x)$ can be obtained simply by multiplying both sides of the series above by $x$ .

$\displaystyle x\ln(1-x)=-\sum_{n=1}^\infty\frac{x^{n+1}}n$

c. We have

$\ln2=-\dfrac\ln12=-\ln\left(1-\dfrac12\right)$

$\displaystyle\implies\ln2=\sum_{n=1}^\infty\frac1{n2^n}$

4 0

3 years ago

Line A. C. D. B. Defined Postulates Theorems Undefined Terms

oksian1 [2.3K]

Answer: Undefined

Step-by-step explanation:

In geometry there are three undefined terms that we use to define other terms:

Point → In geometry a point has a location but no dimension.
Plane → A plane extends is a 2-dimensional surface that extends infinitely on both sides.
Line → A line is a one-dimensional undefined figure that extends infinitely in both the directions. It has length but has no width.

Hence, the correct option is "Undefined".

8 0

3 years ago