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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:

This statement is false. The mapping notation for reflecting point (x,y) about the x-axis is (x,-y)

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:28 ≤ x ≤40

Step-by-step explanation:Arrange the data from the smallest to the largest

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Identify the median value

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Getting the median

(33+35)/2 = 68/2 = 34 minutes

You want your time to be last year's median time with an absolute deviation of at most 6 minutes

This mean ±6 minutes, hence this will be 34 ± 6

34+6=40 and 34-6=28

The inequality will be 28 ≤ x ≤40

Answer:A

Step-by-step explanation:

In the Neolithic Revolution, people formed civilizations.

Answer:

thanks

Step-by-step explanation:

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: A

Step-by-step explanation:

because she's deducting 10 points every day the slope is constant so it has to be a linear equation

Answer:

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

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:

Yes

Step-by-step explanation:

4          x   4    =16

____                _____

15         x   4   = 60

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.

Answer:

-2/3 x-3 graphed will look whit the line going down the negative side (bottom left) of the graph and also passing the (right bottom side of the graph) the points will be  (0,-3)

Step-by-step explanation:

Answer:

The system has infinitely many solutions.

Step-by-step explanation:

both equations are the same

It means that we have only one equation

so, it can give many solution s

so,

The system has infinitely many solutions.

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST! :)

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:

If your talking about the slope-intercept form, its y = -1/2x + 1

Step-by-step explanation:

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:

I really do not know sorry I just need points

Answer:

The speed of the wind is 12 miles per hour.

Step-by-step explanation:

Given that the plane travels 264 miles in 1.1 hours with a headwind, the following calculation must be performed to determine its speed:

264 / 1.1 = X

240 = X

Thus, the speed of the plane into the headwind was 240 miles per hour. Now, on the return, with the wind in favor, the route is completed in exactly 1 hour.

Therefore the wind exerts a difference of 24 miles per hour between one trip and another, with which, if it remains stable, its speed is 12 miles per hour (24 / 2).

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:

1

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:

the answer is 246

hope 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