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Savatey [412]
2 years ago
13

Pat bought 5.5 pounds of grapes for a party he spent $6.60. how much did he pay per pound

Mathematics
1 answer:
ruslelena [56]2 years ago
5 0
Answer: 1.20

Explanation:
I used a price per pound calculator

Hope this helps!

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Use​ DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. [one half (cosine
Morgarella [4.7K]

Answer:

(\, \cos(\frac{\pi}{16}) + i\sin(\frac{\pi}{16}) \,)^{1/2}  =  \cos(\frac{\pi}{32}) + i\sin(\frac{\pi}{32})  = 0.99 + i0.09

Step-by-step explanation:

The complex number given is

z = (\, \cos(\frac{\pi}{16}) + i\sin(\frac{\pi}{16}) \,)^{1/2}

Now, remember that the DeMoivre's theorem states that

( \cos(x) + i\sin(x) )^n  = \cos(nx) + i\sin(nx)

Then for this case we have that

(\, \cos(\frac{\pi}{16}) + i\sin(\frac{\pi}{16}) \,)^{1/2}  =  \cos(\frac{\pi}{32}) + i\sin(\frac{\pi}{32})  = 0.99 + i0.09

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2 years ago
Graph the line with: a slope of -5 and y intercept of 4. PLEASE HELP
worty [1.4K]

The y intercept of 4 means the graph crosses the vertical y axis at 4. More specifically this location is (0,4)

Start at (0,4) and move down 5 units and then move to the right 1 unit. You should arrive at (1,-1). The movement rule of "down 5, over to the right 1" is taken exactly from the slope of -5 = -5/1.

After plotting the two points (0,4) and (1,-1), draw a straight line through them both. Extend this line as far as you can in either direction. The graph is now completed.

<h3>In summary, this line goes through (0,4) and (1,-1)</h3>

Side note: The equation of this line is y = -5x+4. It is in slope intercept form.

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mario62 [17]

Answer:

D. a + 2 = 5

Step-by-step explanation:

apples + 2 more = 5 total

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Anuta_ua [19.1K]

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32

Step-by-step explanation:

16,000 = (2^7)(5^3)

So, the number of positive divisors of 16,000 = (7+1)(3+1)

= (8)(4)

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