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3 years ago

What is the number of terms in this geometric series? 1+2+4+...+64

Mathematics

1 answer:

ioda3 years ago

4 0

Answer:

Step-by-step explanation:

1,2 ,4,8,16,32,64

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There are 8 cups of pasta in 22 servings. Write a proportion that gives the number x of cups of pasta in 3 servings.

Lisa [10]

Answer:

Step-by-step explanation:

Cups: servings

8 : 22 :: x : 3

Product of means = product of extremes

22*x = 3*8

$x = \dfrac{3*8}{22}=\dfrac{3*4}{11}=\dfrac{12}{11}=1\dfrac{1}{11}$

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2 years ago

460 <br><br> Wrote this in word form and expanded form?

zepelin [54]

Answer:460 in word form: Four Hundred Sixty

460 in expanded form: 400+60

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4 years ago

Help find the equivalent fraction with the correct steps please !

Nat2105 [25]

Answer:

: = ÷

$\frac{-2}{5}*\frac{6}{-1} : \frac{5}{-2} = \frac{-12}{-5} : \frac{5}{-2} = \frac{12}{5}*\frac{-2}{5}=\frac{-24}{25}$

An equivalent fraction is -24 over 25.

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3 years ago

If z1= 3+3i and z2=7(cos(5pi/9) + i sin (5pi/9)), then z1/z2= blank

mixas84 [53]

$z1=\stackrel{a}{3}+\stackrel{b}{3}i~~ \begin{cases} r = \sqrt{a^2+b^2}\\ r = \sqrt{18}\\[-0.5em] \hrulefill\\ \theta =\tan^{-1}\left( \frac{b}{a} \right)\\ \theta =\frac{\pi }{4} \end{cases}~\hfill z1=\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right] \\\\[-0.35em] ~\dotfill$

$\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right]} {7\left[\cos\left( \frac{5\pi }{9} \right) i\sin\left( \frac{5\pi }{9} \right) \right]} \\\\[-0.35em] ~\dotfill\\\\ \qquad \textit{division of two complex numbers} \\\\ \cfrac{r_1[\cos(\alpha)+i\sin(\alpha)]}{r_2[\cos(\beta)+i\sin(\beta)]}\implies \cfrac{r_1}{r_2}[\cos(\alpha - \beta)+i\sin(\alpha - \beta)] \\\\[-0.35em] ~\dotfill$

$\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{\pi }{4}-\frac{5\pi }{9} \right)+i\sin\left( \frac{\pi }{4}-\frac{5\pi }{9} \right) \right] \\\\\\ \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{-11\pi }{36} \right) +i\sin\left( \frac{-11\pi }{36} \right) \right]\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{83\pi }{36} \right) +i\sin\left( \frac{83\pi }{36} \right) \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{z1}{z2}\approx 0.348~~ + ~~0.496i~\hfill$

6 0

3 years ago

If you earn $15 an hour and you work 35 hours a week, how much do you earn a month?

pshichka [43]

Step 1: 15 times 35 = 525
Step 2: 525 times 4 = 2100

So you make $2,100 dollars in a month.

5 0

3 years ago

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