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3 years ago

The radius of a circle is 7 miles. What is the circumference?

Mathematics

1 answer:

Fiesta28 [93]3 years ago

4 0

The circumference is ~43.98 miles.

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2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.

shepuryov [24]

Answer:

Step-by-step explanation:

$\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\$

$= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}$

7 0

3 years ago

Rewrite the expression in the form 2".<br> E

Vlad [161]

Answer:

z^ {8/5}

Step-by-step explanation:

$(z^{\frac{-4}{3})^{\frac{-6}{5} } \\We\ know\ that\ a^{(b)^c} = a^{bc}\\\\Hence, \\\\{z^{\frac{-4}{3})^{\frac{-6}{5}}\\}={z^{\frac{-4}{3}*\frac{-6}{5}\\}\\=z^{\frac{24}{15}}\\=z^\frac{8}{5}$

6 0

3 years ago

What is f[g(7)] for the following functions?

Leto [7]

Answer: 239

Step-by-step explanation:

$g(7)=2(7)-5=9\\\\f[g(7)]=f(9)=3(9)^2 - 4=239$

3 0

2 years ago

If 3x+2y=33 and 2x+3y=42 what does x+y equal?

xenn [34]

Answer:

Step-by-step explanation:

3x+2y=33

2x+3y=42

Add the two equations together:

5x+5y=75

Divide both sides by 5:

x+y=15

Hope this helps!

6 0

3 years ago

Write the word sentence as an equation then solve the difference between a number c and 17 is 3

Digiron [165]

Answer:

c-17=3

c=20

Step-by-step explanation:

what grade is this for?

hope this helps

8 0

2 years ago