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Rzqust [24]
3 years ago
5

Water flows from a faucet at a constant rate. Assume that 6 gallons of water are already in a tub by the time we notice the fauc

et is on. This information is recorded in the first column of the table below. The other columns show how many gallons of water are in a tub at different numbers of minutes since we noticed the running faucet. ​

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
6 0
The equation would be y=3.2x+6
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In a scale drawing of a house, 1 inch=4 1/2 feet. If the length of a kitchen is 2 1/4 inches on a scale drawing, what is the act
ch4aika [34]

Answer:

10.125 feet.

Step-by-step explanation:

you can use the rule of three to answer this question, the data we have is:

inches      feet

     1      →   4 1/2

  2 1/4    →   x

tha last table just indicates what the problem tells us, that one inch is equal to 4 1/2 feet and we want to know how much in feet the 2 1/4 inches are.

For this we multiply the cross quantities:

x=(2\frac{1}{4} )(4\frac{1}{2} )=2.25*4.5=10.125 ft

the actual length of the kitchen is 10.125 feet.

   

7 0
3 years ago
Trigonometric question, 30 points, will give brainliest.
zheka24 [161]

hmmm first off let's convert the √3 +i to trigonometric form, and then use De Moivre's root theorem, bearing in mind that √3 and i or 1i are both positive, meaning we're on the I Quadrant.

\bf (\stackrel{a}{\sqrt{3}}~,~\stackrel{b}{1i})\qquad \begin{cases} r=&\sqrt{(\sqrt{3})^2+1^2}\\ &\sqrt{3+1}\\ &2\\ \theta =&tan^{-1}\left( \frac{1}{\sqrt{3}}\right)\\\\ &tan^{-1}\left( \frac{\sqrt{3}}{3} \right)\\ &\frac{\pi }{6} \end{cases}~\hfill \implies ~\hfill 2\left[ cos\left( \frac{\pi }{6}\right) +i~sin\left( \frac{\pi }{6}\right) \right]

\bf ~\dotfill\\\\ \qquad \textit{power of two complex numbers} \\\\\ [\quad r[cos(\theta)+isin(\theta)]\quad ]^n\implies r^n[cos(n\cdot \theta)+isin(n\cdot \theta)] \\\\[-0.35em] ~\dotfill

\bf \left[ 2\left[ cos\left( \frac{\pi }{6}\right) +i~sin\left( \frac{\pi }{6}\right) \right] \right]^3\implies 2^3\left[ cos\left( 3\cdot \frac{\pi }{6}\right) +i~sin\left( 3\cdot \frac{\pi }{6}\right) \right] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 8\left[cos\left( \frac{\pi }{2} \right) +i~sin\left( \frac{\pi }{2} \right) \right]~\hfill

3 0
4 years ago
Using the letters in the word INNOVATIVE, find the number of permutations that can be formed using 4 letters at a time. Show you
lyudmila [28]

Answer:  1) 5040 and 2) 165

Step-by-step explanation:

1) Here total number of letters = 10

The number of permutations that can be formed using 4 letters at a time

= P (10, 4)

= 10_P_4

= \frac{10!}{(10-4)!}

=  \frac{10!}{6!}

= \frac{10\times 9\times 8\times 7\times 6!}{6!}

= 10 × 9 × 8 × 7

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2) Here the total number of machine = 11

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= 11_C_3

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= 11 × 5 × 3

= 165

5 0
3 years ago
PLEASE HELP WILL MARK BRAINLY
Romashka-Z-Leto [24]

Step-by-step explanation:

diameter is 84 thereare 2 time 42 .84.

follow me nice study bye .

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kkurt [141]
  44.14 divided by 4 is 11.035
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3 years ago
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