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3 years ago

Simplify the expression, and explain each step. 1/3q3

1 answer:

6 0

So, 1/3*q*3 is equal to 1/3*3*q because of the commutative property of multiplication.

So, then, we can multiply 1/3 and 3 to get one.
1/3*3 = 3/3 = 1

So our equation would end up to be
1q, or q

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Market so seven oranges for $2.45 how much would 8 oranges cost

Irina18 [472]

Answer:

8 oranges will cost $2.80.

Step-by-step explanation:

2.45/7=0.35

2.45+0.35=2.80

8 0

3 years ago

PLEASE HELP WITH THIS PLEASE.

Kryger [21]

Answer:

Step-by-step explanation:

(a^2+b^2)^2=a^2+b^2

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2 years ago

Write each complex number in rectangular form. a. 2(cos(135)+i sin(135)) b. 3(cos(120))+i sin(120)) c. 5(cos(5pi/4)+i sin(5pi/4)

bagirrra123 [75]

$\bf r\left[ cos\left( \theta \right)+i\ sin\left( \theta \right) \right]\quad 
\begin{cases}
x=rcos(\theta )\\
y=rsin(\theta )
\end{cases}\implies 
\begin{array}{llll}
x&,&y\\
a&&b
\end{array}\implies a+bi\\\\
-------------------------------\\\\
2\left[ cos\left( 135^o\right)+i\ sin\left( 135^o\right) \right]\impliedby r=2\qquad \theta =135^o
\\\\\\
2\left( -\frac{\sqrt{2}}{2} \right)+i\ 2\left( \frac{\sqrt{2}}{2}\right)\implies -\sqrt{2}+\sqrt{2}\ i$

$\bf -------------------------------\\\\
3\left[ cos\left( 120^o\right)+i\ sin\left( 120^o\right) \right]\impliedby r=3\qquad \theta =120^o
\\\\\\
3\left( -\frac{1}{2} \right)+i\ 3\left( \frac{\sqrt{3}}{2}\right)\implies -\frac{3}{2}+\frac{3\sqrt{3}}{2}\ i$

$\bf \\\\
-------------------------------\\\\
5\left[ cos\left( \frac{5\pi }{4}\right)+i\ sin\left( \frac{5\pi }{4}\right) \right]\impliedby r=5\qquad \theta =\frac{5\pi }{4}
\\\\\\
5\left( -\frac{\sqrt{2}}{2} \right)+i\ 5\left( -\frac{\sqrt{2}}{2}\right)\implies -\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}\ i$

$\bf -------------------------------\\\\
4\left[ cos\left( \frac{5\pi }{3}\right)+i\ sin\left( \frac{5\pi }{3}\right) \right]\impliedby r=4\qquad \theta =\frac{5\pi }{3}
\\\\\\
4\left( \frac{1}{2} \right)+i\ 4\left( -\frac{\sqrt{3}}{2}\right)\implies \frac{1}{2}-\frac{\sqrt{3}}{2}\ i$

3 0

3 years ago

Given the following sequence, find the 25th term: 0, 1, 2, 3, 4, . . .

Burka [1]

The answer for this question would be 24 because 0 is included.

8 0

3 years ago

Solve for x: 2x − 2 > 4x + 6.<br> x < −4<br> x > −4<br> x < 4<br> x > 4

igomit [66]

Answer:

The answer is the first choice, x < −4.

Step-by-step explanation:

Let's solve your inequality step-by-step.

2x−2>4x+6

Step 1: Subtract 4x from both sides.

2x−2−4x>4x+6−4x

−2x−2>6

Step 2: Add 2 to both sides.

−2x−2+2>6+2

−2x>8

Step 3: Divide both sides by -2.

x<−4

3 0

3 years ago

Simplify the expression, and explain each step. 1/3*q*3

Simplify the expression, and explain each step. 1/3q3