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san4es73 [151]
3 years ago
12

What is the volume of this cubic unit object??

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
7 0
Kaylie143 is right again it would be 24
DerKrebs [107]3 years ago
5 0
Hello! The total volume would be,
24!
Have a good day and ask questions!

Sincerely, Kaylie :)
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What is each power of i with its multiplicative inverse.
pentagon [3]

Answer:

1) multiplicative inverse of i = -i

2) Multiplicative inverse of i^2 = -1

3) Multiplicative inverse of i^3 = i

4) Multiplicative inverse of i^4 = 1

Step-by-step explanation:

We have to find multiplicative inverse of each of the following.

1) i

The multiplicative inverse is 1/i

if i is in the denominator we find their conjugate

=1/i * i/i\\=i/i^2\\=We\,\, know\,\, that\,\, i^2 = -1\\=i/(-1)\\= -i

So, multiplicative inverse of i = -i

2) i^2

The multiplicative inverse is 1/i^2

We know that i^2 = -1

1/-1 = -1

so, Multiplicative inverse of i^2 = -1

3) i^3

The multiplicative inverse is 1/i^3

We know that i^2 = -1

and i^3 = i.i^2

1/i^3\\=1/i.i^2 \\=1/i(-1)\\=-1/i * i/i\\=-i/i^2\\= -i/-1\\= i

so, Multiplicative inverse of i^3 = i

4) i^4

The multiplicative inverse is 1/i^4

We know that i^2 = -1

and i^4 = i^2.i^2

=1/i^2.i^2\\=1/(-1)(-1)\\=1/1\\=1

so, Multiplicative inverse of i^4 = 1

3 0
3 years ago
How does the rate of change vary from point to point?
Tpy6a [65]

\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 40&32\\ 28&16\\ 16&12\\ \cline{1-2} \end{array}~\hfill \stackrel{\textit{average rate of change}}{slope} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{40}~,~\stackrel{y_1}{32})\qquad (\stackrel{x_2}{28}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-32}{28-40}\implies \cfrac{-16}{-12}\implies \boxed{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill

\bf (\stackrel{x_1}{28}~,~\stackrel{y_1}{16})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-16}{16-28}\implies \cfrac{-4}{-12}\implies \boxed{\cfrac{1}{3}}

8 0
2 years ago
At a school, 43% of students attend the homecoming football game. Only 23% of students go to the game and the homecoming dance.
Strike441 [17]
9.89%

You can get this number by multiplying the two together.
5 0
3 years ago
Tyce hit 3/5 of the baseballs pitched to him during batting practice.Mason hit 3/4 of the number of the pitched that tyce hit. w
marissa [1.9K]

Answer: 9/20

Step-by-step explanation:

From the question, we are informed that Tyce hit 3/5 of the baseballs pitched to him during batting practice and that Mason hit 3/4 of the number of the pitched that tyce hit.

The fraction of pitches that Mason hit will be gotten by multiplying 3/4 by 3/5 This will be:

= 3/4 × 3/5

= 9/20

6 0
2 years ago
Find the measure of b+d. A. 74 B. 90 C. 32 D. 58
Sav [38]

Answer:

B. 90°

Step-by-step explanation:

Quadrilateral inscribed in the circle with center O is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

(b + d) + (32° + 58°) = 180°

b + d + 90° = 180°

b + d = 180° - 90°

b + d = 90°

4 0
3 years ago
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