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The rectangular form of the polar expression [tex]12(cos\pi+ isin\pi)[/tex] is -12

The given equation is:

[tex]12(cos\pi+ isin\pi)[/tex]

The above equation is in polar form

Note that:

[tex]cos \pi = -1\\\\sin\pi = 0[/tex]

Substituting [tex]cos \pi = -1[/tex] and [tex]sin \pi = 0[/tex] into the expression [tex]12(cos\pi+ isin\pi)[/tex] in order to get the rectangular form of the expression

[tex]12(cos\pi+ isin\pi)[/tex]

=  12(-1   +   1(0))

=  12 ( -1  +  0)

=  12(-1)

=  -12

Therefore, the rectangular form of the polar expression [tex]12(cos\pi+ isin\pi)[/tex] is -12

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Answer:

thanks

Step-by-step explanation:

Answer:

Option (3) and Option (5)

Step-by-step explanation:

Alice invested $13 in the first month.

Then she deposits $25 every month.

Therefore, sequence formed by the deposit will be an arithmetic sequence.

First term of the sequence will be,

[tex]A_1=13[/tex]

Since, recursive formula formula of a sequence is given by the formula,

[tex]A_n=A_{(n-1)}+d[/tex]

Where 'd' = common difference in each term of the sequence

Recursive formula for the sequence will be,

[tex]A_n=A{(n-1)}+25[/tex]

Since, explicit formula for the arithmetic sequence is represented by the formula,

[tex]A_n=A_1+(n-1)d[/tex]

where n = number of term

d = common difference

Therefore, nth term of the sequence formed will be represented by the explicit formula,

[tex]A_n=13+(n-1)25[/tex]

[tex]A_{10}=13+(10-1)25[/tex]

      = 13 + 225

      = 238

[tex]A_{8}=13+(8-1)25[/tex]

     = 188

[tex]A_{12}=13+(12-1)25[/tex]

      = 288

Therefore, Option (3) and Option (5) will be the answer.

Answer:

1

Step-by-step explanation:

9514 1404 393

Answer:

  q = 58

Step-by-step explanation:

If the variation is inverse, when p is multiplied by 1/2, q will be multiplied by the inverse (reciprocal) of 1/2, which is 2/1 = 2.

When p = (1/2)(28), q = (2)(29) = 59

  q = 58

Answer:

its b :) im pretty sure

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

say the percent decrease = x. Then

x/100 x 250 = 210.

x/2 x 5 = 210

x/2 = 210/5

x/2 = 42

x = 42 x 2

x = 84.....

BUT this is not the answer. We need 100-84=16 for the answer.

So the bike dropped 16%. Thank me later :)

If Curtis bought a new mountain bike for $250. In a store advertisement, the mountain bike is on sale for $210. Then 16%  of the decrease in the value of the mountain bike

percentage, a relative value indicating hundredth parts of any quantity

Given,

Curtis bought a new mountain bike for $250.

the mountain bike is on sale for $210.

We need to find the percent of the decrease in the value of the mountain bike.

Let the  percent decrease be x.

x/100 x 250 = 210.

5x/2= 210

Divide both sides by five

x/2 = 210/5

x by two equal to two ten by 5, we get x by two equal to forty two

x/2 = 42

Apply cross multiplication

x = 42 x 2

x = 84.

We need 100-84=16.

Hence 16  percent of the decrease in the value of the mountain bike

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Answer:

Solving [tex](4g^2-9) \div (2g-3)[/tex] we get 2g+3

Option B is correct.

Step-by-step explanation:

We need to solve [tex](4g^2-9) \div (2g-3)[/tex]

We know that [tex]a^2-b^2=(a-b)(a+b)[/tex]

So, [tex]4g^2-9[/tex] can be written as [tex](2g)^2-(3)^2[/tex]

So, using above formula we will get:

[tex]4g^2-9\\=(2g^2)-(3)^2 \\Using \ formula a^2-b^2 = (a-b)(a+b)\\=(2g-3)(2g+3)[/tex]

So, numerator will become

[tex]\frac{(2g-3)(2g+3)}{(2g-3)} \\Simplifying:\\=2g+3[/tex]

So, solving [tex](4g^2-9) \div (2g-3)[/tex] we get 2g+3

Option B is correct.

Answer:

18 legs

Step-by-step explanation:

2 legs 9 chickens.

2*9 which is 18.

Hope this helps ;D

Answer:

Can complete a work in 12 days working 8 hours a day Q can complete the same work in 8 days working 10 hours a day if both p and q work together working 8 hours a day in how many days?

Step-by-step explanation:

Answer:

6 hours x 5 person sx 16 days = 480 hours to complete the work.

480/ ( 8person * 4hours) = 15days

Thank you and please rate me as brainliest as it will help me to level up

Answer:

Negative 1/8 is the answer

Answer:

1/5 and -k/5+2

Step-by-step explanation:

inverse of 5= 1/5

swap the variables: y=10−5k becomes k=10−5y

Now, solve the equation k=10−5y

for y

y=−k/5+2

Answer:

96.93

Step-by-step explanation:

89,75+

3y

Step-by-step explanation:

Answer:

y = -2x - 3

Step-by-step explanation:

Given:

Equation of -x +2y =4

Point of (-2,1)

-x + 2y = 4

y = x/2 + 2 or y = 1/2x + 2

Which means the equation's slope is m = 1/2.

The slope of the perpendicular line is negative inverse which is m = -2.

Now we have an equation of y = -2x + a.

Use (-2, 1) to find a:

1 = (-2)(-2) + a

a = -3

y = - 2x - 3

Answer:

72 degrees

Step-by-step explanation:

4x+6x=180

10x=180 combine like terms

10x/10=180/10

x=18

4(18) = 17

Answer:

I think it will be 4:7 im not very sure tho

Step-by-step explanation:

Answer:

The total cost of the meal is $19.35.

Step-by-step explanation:

As Nicole ordered a $ 15 menu, and on that price she paid a tip of 20% and the town in which she bought it had a sales tax of 9%, the total cost of the meal is determined by performing the following calculation:

1- Menu $ 15

2- Tip $ 3 (15 x 0.2)

3- Sales tax $ 1.35 (15 x 0.09)

Thus, adding the three expenses, the total cost of the food for Nicole is $ 19.35 (15 + 3 + 1.35).

Answer:

it's 12

Step-by-step explanation:

2 and 2/5 divide by 1/5 is 12

Answer:

12

Step-by-step explanation:

I had this question on my test and the correct answer was 12

Answer:A

Step-by-step explanation:

In the Neolithic Revolution, people formed civilizations.

Answer:

I really do not know sorry I just need points

Answer:

−3x⋅(x+6)⋅(x−8)

Step-by-step explanation:

hp this helps

Answer:

30

Step-by-step explanation:

25 times 1.2= 30

Answer:

30

 Step-by-step explanation:

Answer:

7.840

Step-by-step explanation:

560 grams times the number of days

560×14=7840grams

1000grams = 1 kilogram soo

7840g=7.840kg

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] are 6 and 4, respectively.

Step-by-step explanation:

Geometrically speaking, any line is represented by equation of the form:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

In addition, the slope is defined in terms of distinct known points. That is:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (2)

If we know that [tex](x_{1},y_{1})=(4,b)[/tex], [tex](x_{2}, y_{2}) = (a, 8)[/tex] and [tex]m = 2[/tex], then the slope is:

[tex]\frac{8-b}{a-4} = 2[/tex]

[tex]8-b = 2\cdot (a-4)[/tex]

[tex]8-b = 2\cdot a -8[/tex]

[tex]b = 16-2\cdot a[/tex]

There is more than one option. If we assume that [tex]a = 6[/tex], then [tex]b[/tex] is:

[tex]b = 16-2\cdot (6)[/tex]

[tex]b = 4[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] are 6 and 4, respectively.