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Komok [63]
3 years ago
14

How do you convert 3/1/4 to fractional notation

Mathematics
1 answer:
tester [92]3 years ago
5 0
Multiply the denominator of the fraction by the whole number and then add the numerator. keep the answer over the original denominator


example: 2 3/4 2*4+3 = 11/4
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Value of complex number i^7+1/i^4​
Vera_Pavlovna [14]

i^7 + \dfrac 1{i^4}\\\\=i^2 \cdot i^2 \cdot i^2  \cdot i + \dfrac 1{i^2 \cdot i^2}\\\\=(-1)(-1)(-1)i + \dfrac 1{(-1)(-1)} ~~~;[ i^2 = -1] \\\\\ = (-1)^3 i+ \dfrac 1{(-1)^2} \\\\=-i+1

7 0
3 years ago
A group of friends wants to go to the amusement park. They have no more than $150
algol [13]

Answer: 17.75p + 8 ≤ 150    OR    p ≤ 8

Step-by-step explanation:

7 0
3 years ago
Can someone help me please
aleksklad [387]

9514 1404 393

Answer:

 IS a parallelogram

Step-by-step explanation:

The slope formula for the slope of the line between points (x1, y1) and (x2, y2) is ...

  m = (y2 -y1)/(x2 -x1)

The distance formula for the length of that same line is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, you're asked to use each of these formulas 4 times, once for each side of the quadrilateral. I find it convenient to let a calculator or spreadsheet do the repetitive calculations. The result is attached.

The attachment shows that opposites sides have the same length and slope, so are parallel. The quadrilateral is a parallelogram. (The two points used in each calculation are the ones on the result line and the line immediately below. That is why point B is copied to the end of the list.)

_____

<em>Additional comments</em>

There are much simpler ways to prove the figure is a parallelogram. My favorite is to add the coordinates of the end points of the diagonals:

  B +D = (-2+6, -9-3) = (4, -12)

  C +E = (0+4, -5-7) = (4, -12)

These values being the same demonstrates the midpoints of the diagonals are coincident. That will only be the case if the quadrilateral is a parallelogram.

__

If you must use slope and distance formulas, showing either pair of opposite sides is parallel and have the same length is sufficient to guarantee that the other two sides are also parallel and have the same length. That is, the calculations required in this problem only need to be applied to one pair of opposite sides. (Using a spreadsheet, it's not a lot of extra work to do the calculations for both pairs of opposite sides.)

7 0
3 years ago
The product of a number and twice that number is 180000, write the multiplication problem
ElenaW [278]
Six hundred times 300 equals 180,000
3 0
3 years ago
Read 2 more answers
You put $5,000 in a simple interest account at a bank. You will earn $1,200 in just 4 years. What is the annual interest rate fo
Sav [38]
<span>1200 = 5000*4r
1200/20000 = r = .06 0r 6%</span>
4 0
3 years ago
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