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4 years ago

If 5 miles= 8km how many miles in 250

Mathematics

1 answer:

barxatty [35]4 years ago

5 0

The answer is 155.343 miles

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Monica [59]

Expand f(z) into partial fractions:

$\dfrac1{z(z-2)} = \dfrac12 \left(\dfrac1{z-2} - \dfrac1z\right)$

Recall that for |z| < 1, we have the power series

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

Then for |z| > 2, or |1/(z/2)| = |2/z| < 1, we have

$\displaystyle \frac1{z-2} = \frac1z \frac1{1 - \frac2z} = \frac1z \sum_{n=0}^\infty \left(\frac 2z\right)^n = \sum_{n=0}^\infty \frac{2^n}{z^{n+1}}$

So the series expansion of f(z) for |z| > 2 is

$\displaystyle f(z) = \frac12 \left(\sum_{n=0}^\infty \frac{2^n}{z^{n+1}} - \frac1z\right)$

$\displaystyle f(z) = \frac12 \sum_{n=1}^\infty \frac{2^n}{z^{n+1}}$

$\displaystyle f(z) = \sum_{n=1}^\infty \frac{2^{n-1}}{z^{n+1}}$

$\displaystyle \boxed{f(z) = \frac14 \sum_{n=2}^\infty \frac{2^n}{z^n} = \frac1{z^2} + \frac2{z^3} + \frac4{z^4} + \cdots}$

6 0

2 years ago

Find the area of the circle to the nearest tenth. 12 in

Alexus [3.1K]

Answer:

The answer is B

I had search that up before

6 0

3 years ago

4x + 2(x − 3) = 3x + x − 12<br> find the answer for x

Nitella [24]

X= -3...................

7 0

3 years ago

Please help me please! I’m stuck, and I can’t figure this out. Please include the form in your answer! No phony answers pls!

nevsk [136]

Answer:

x ≈ - 6.74, 0.74

Step-by-step explanation:

x² + 6x - 5 = 0 ( add 5 to both sides )

x² + 6x = 5

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 5 + 9

(x + 3)² = 14 ( take square root of both sides )

x + 3 = ± $\sqrt{14}$ ( subtract 3 from both sides )

x = - 3 ± $\sqrt{14}$

Then

x = - 3 - $\sqrt{14}$ ≈ - 6.74 ( to the nearest hundredth )

x = - 3 + $\sqrt{14}$ ≈ 0.74 ( to the nearest hundredth )

6 0

3 years ago

Find the area of the trapezoid. Leave your answer in simplest radical form.

sveticcg [70]

Answer:

64√3 ft²

Step-by-step explanation:

The short leg of the triangle has length (8 ft)(cos 60°), or (8 ft)(1/2), or 4 ft.

The long leg (represented by the dashed line) is (8 ft)(sin 60°), or

(8 ft)(√3/2), or 4√3. This is also the width of the horizontal trapezoid.

The area of this horizontal trapezoid is:

(sum of horizontal sides)

A = ------------------------------------- * (width)

Here, the area is:

(18 ft + (18 ft - 4 ft)

= ------------------------------------- * (4√3)

32 ft

= ----------- * 4√3 = 64√3 ft²

5 0

3 years ago