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blagie [28]
3 years ago
7

Why does the multiplicative inverse of a number have the same sign as the number?

Mathematics
1 answer:
denis23 [38]3 years ago
7 0
<span>Look at the definition of multiplicative inverse. If two numbers are multiplicative inverses of each other, then by definition, their product will be equal to 1. And 1 is a positive number. If both numbers being multiplied are positive, then the result is positive. And of both numbers being multiplied are negative, then the result is still positive. But if one number is positive and the other is negative, then the result is negative. So if you want a positive result, then both numbers you're multiplying have to have the same sign. And since we want a result of 1 for multiplicative inverses and since 1 is positive, then the numbers being multiplied have to have the same sign.</span>
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If the base number is 2/3 and the power is 5.
solniwko [45]

Answer:

32/243

Step-by-step explanation:

do 2 to the 5th and put it above 3 to the 5th

3 0
3 years ago
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What is 4+5=20 +34+56
enyata [817]

This question’s answer is no solution, unless there was a typo. If there was, comment, and i’ll Answer it!

7 0
3 years ago
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The washer in the image has an inner diameter of 1/4 inch. The outer diameter measures 3/4 inch, and the washer is 1/4 inch thic
Talja [164]

Answer:

  0.14 lb . . .  closest choice is 0.11 lb

Step-by-step explanation:

The inside and outside radii are 1/8 in and 3/8 in, respectively. Then the area of the top of the washer is ...

  A = π(R² -r²) = π((3/8)² -(1/8)²) = π(9/64 -1/64) = π/8 . . . square inches

The height of the stack of 5 washers will be 5×(1/4 in) = 5/4 in. So, the volume of material in the stack of washers is ...

  V = Bh = (π/8)(5/4) = 5π/32 . . . cubic inches

The weight of material is the product of volume and density, so is ...

  W = (5π/32 in³)(0.285 lb/in³) ≈ 0.1399 lb ≈ 0.14 lb

_____

<em>Comment on the question</em>

Since this answer does not correspond to any of the offered choices, we suggest you ask your teacher to work this out for you. We suspect they will have difficulty justifying any of the answer choices shown here. (0.11 lb corresponds to 4 washers, not 5.)

5 0
3 years ago
A postcard is 4 inches shorter than an envelope. The envelope is 10 inches long. How long is the postcard? The diagram below cou
RoseWind [281]
The post card would be 6inches long

10-4=x
10-4=6
x=6
5 0
3 years ago
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Find side AB <br>14()<br>24()<br>33()<br>40()​
Ahat [919]

Answer:

AB=DC=32\ units

AD=BC=24\ units

Step-by-step explanation:

we know that

In a parallelogram, opposite sides are parallel and congruent

In this problem we have a parallelogram

so

DC=AB

AD=BC

substitute the given values

5x-18=2x+12

5x-2x=12+18

3x=30

x=10

<em>Find the length of side AB</em>

AB=2x+12

substitute the value of x

AB=2(10)+12=32\ units

<em>Find the length of side CB</em>

BC=3x-6

substitute the value of x

BC=3(10)-6=24\ units

therefore

AB=DC=32\ units

AD=BC=24\ units

6 0
4 years ago
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