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Rom4ik [11]
3 years ago
6

Divide. simplify your answer (2x^4-6x^3+4x^2-3x)*(2x)

Mathematics
2 answers:
lbvjy [14]3 years ago
4 0

Answer:

x^3-3x^2+2x-\frac{3}{2}

Step-by-step explanation:

We can divide polynomials by other polynomials by dividing each term by the denominator. Remember, when we divide a variable by itself, we must change the exponent in our answer according to exponent rules.

\frac{ (2x^4-6x^3+4x^2-3x)}{2x}=\frac{2x^4}{2x} -\frac{6x^3}{2x} +\frac{4x^2}{2x} -\frac{3x}{2x} =x^3-3x^2+2x-\frac{3}{2}


andrezito [222]3 years ago
4 0

Answer:

3/2

Step-by-step explanation:


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Find the surface area of the prism​
AfilCa [17]

Answer:

156 in^2

Step-by-step explanation:

find the areas of all the faces and add them up

area of a rectangle: bh

area of a trapezoid: \frac{1}{2} (b_1 + b_2)(h)

(5*3)+(6*3)+(5*3)+(3*12)+2(\frac{1}{2}*(6+12)*4) \\=15+18+15+36+2(\frac{1}{2}*18*4)\\=84+2(36)\\=156

the area of the trapezoid is multiplied by 2 because there's a top and bottom

4 0
3 years ago
I NEED THIS ASAP HELP
MA_775_DIABLO [31]

Answer:

A)SA= 2(1/2bh)+(lw)+(lh)+(wh)

= 2(1/2*7*24)+(22*24)*(7*22)+(22*24)

= 2(84)+528+154+528

= 168+528+154+528

=1378m^2

B) V= πr^2h

= π*10^2*20

= π*100*20

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5 0
3 years ago
Area of a square with the length of 100cm and a width of 2cm
Rashid [163]

Answer:

200cm^{2}

Step-by-step explanation:

the formula for working out the area is to multiply the length by the width.

so for this you would multiply 100 by 2 which gives you 200 cm squared

100*2=200cm^{2}

4 0
3 years ago
Read 2 more answers
Show that each of these conditional statements is a tautology by using truth tables. a) [¬p ∧ (p ∨ q)] → q b) [(p → q) ∧ (q → r)
nlexa [21]

Step-by-step explanation:

To show that a statement is a tautology using truth table - is to show that all the entries in the expression are truths T.

We can do this by taking each statement, expression by expression. For example, to show that

[~p ∧ (p ∨ q)] → q

is a tautology, knowing we have 3 columns, we have 2^3 = 8 rows. We start by putting putting truth values for p, q, and r respectively

Next, we find ~p, then find (p ∨ q), then find ~p ∧ (p ∨ q), before finally arriving at the required [~p ∧ (p ∨ q)] → q

TERMINOLOGIES AND SYMBOLS

- T means Truth

- F means False

- ~p means negation of p.

~p is F if p is T, and vice versa

- ∧ means conjunction.

p ∧ q is T only if p is T and q is T.

- ∨ means disjunction.

p ∨ q is T if either p or q is T.

- → is for conditional 'if then'

p → q is T if both p and q are T, or both p and q are F, or p is F and q is T, otherwise, it is F.

THE STEP BY STEP WORKINGS FOR THE STATEMENTS GIVEN ARE IN THE ATTACHMENT.

8 0
3 years ago
Read 2 more answers
If a=i+7j+k and b=i+11j+k, find a unit vector with positive first coordinate orthogonal to both a and
Scilla [17]
Take the cross product, then normalize the result.

\mathbf a\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&7&1\\1&11&1\end{vmatrix}=-4\,\mathbf i+4\,\mathbf k

This has norm

\|\mathbf a\times\mathbf b\|=\sqrt{(-4)^2+4^2}=4\sqrt2

and so a unit vector orthogonal to both given vectors is

\dfrac{\mathbf a\times\mathbf b}{\|\mathbf a\times\mathbf b\|}=-\dfrac1{\sqrt2}\,\mathbf i+\dfrac1{\sqrt2}\,\mathbf k

An equally correct answer would be the negative of this vector, since \mathbf b\times\mathbf a=-\mathbf a\times\mathbf b.
5 0
3 years ago
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