Find the domain of
[tex]y = \frac{1}{(1 - \sin(x) } [/tex]

Answers

Answer 1

Let's see

Denominator must not be equal to zero or the function becomes undefined

[tex]\\ \rm\rightarrowtail 1-sinx\neq 0[/tex]

[tex]\\ \rm\rightarrowtail sinx\neq 1[/tex]

[tex]\\ \rm\rightarrowtail x\neq \dfrac{n\pi}{2}[/tex]

So

[tex]\\ \rm\rightarrowtail Domain\in R-\left\{\dfrac{n\pi}{2}\right\}[/tex]


Related Questions

answer this question ​

Answers

The answer is zero

Hopes this helps :)

9. The rational number that is equal to its negative is zero (0)

10. [tex]\sf \dfrac{1}{3} ( 6 \ * \ \dfrac{4}{3} )[/tex] can be written as [tex]\sf ( \dfrac{1}{3} *6)*\dfrac{4}{3}[/tex]   using associate property.

associative property is when numbers are changed within the parenthesis with out the change in result.

formula of associative property : a(bc) = (ab)c

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

54

Step-by-step explanation:

Multiply:

37x37=72

Subtract:

180-72=108

Divide:

108/2=54

Answer:

143 degrees

Step-by-step explanation:

37(2) + 2x = 360
74 + 2x = 360
2x = 286

x = 143

Hope this helps :)

Nine more than the product of a number and eight equals four

Answers

Answer:

Step-by-step explanation:

Let the number = 'x'

Product of number and eight ⇒ 8*x = 8x

Nine more than the product of 8x ⇒add 9 to 8x

8x + 9 = 4

      8x = 4 - 9

     8x = -5

       x = -5/8

hello help me with this question thanks in advance​

Answers

Question #38 Answer

D. 40 ft.

Explanation:

Based on the given conditions, formulate:

[tex]30\times20\div15[/tex]

Calculate

[tex]\frac{30\times20}{15}[/tex]

Cross out the common factor

[tex]2\times20[/tex]

Calculate the product or quotient

[tex]40[/tex]

___________________________________________________

Question #39 Answer

C. Yes, Right Triangle Similarity Theorem

Explanation:

[tex]-\ If\ an\ altitude\ is\ drawn\ to\ the\ hypotenuse\ of\ a\\ right\ triangle,\ then\ the\ two\ triangles\ formed\ are\\ similar\ to\ the\ original\ triangle\ and\ to\ each\ other.[/tex]

____________________________________________________

Question #40 Answer (Picture attached)

D. 23.40 ft.

Explanation:

[tex]height\ of\ tree:x[/tex]

[tex]\frac{x}{s_0-d_0}=\frac{39}{50}[/tex]

[tex]x=\frac{30.39}{50}[/tex]

[tex]=23.40ft[/tex]

[tex]\left \{ {{calculate\}[/tex]

I hope this helps you

:)

9x9/16+12 whats the answer

Answers

Answer:

17.0625

Step-by-step explanation:

Due to order of operations the division and multiplication get done first and the we add the 12

Answer:

2.89285714

Step-by-step explanation:

9x9/16+12

81/16+12

5.0625 + 12 = 17.0625

Hope this helps :)

Find a solution to the linear equation 13x+y=26 by filling in the boxes with a valid value of x and y.

Answers

Answer:

y = -13x+26

Step-by-step explanation:

13x+y=26

y= -13x+26

What is the distance from the origin to point A graphed on the complex plane below?

Answers

Can u please put the rest of the answer

A bag has 16 blue marbles and 14 red marbles. John will randomly select 1 marble from the bag. What is the probability that he will select a red marble? *

Answers

Answer:

46.66% chance of red marble

Step-by-step explanation:

Red Marbles / Total Marbles gives you the percent

14 / 30 = 46.66%

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer:

(A) :

[tex]y = - \frac{5}{2} x + 40[/tex]

(B) : it is a decreasing linear graph. this means that the amount Shikita owes is lesser by $2.50 amount each week

Step-by-step explanation:

shown in the attatchment

Find the midpoint of BF B(0,-14) F(4,6)

Answers

Answer:

Step-by-step explanation:

B(0, -14) ⇒ x₁ = 0 & y₁ = -14

F(4,6) ⇒  x₂ = 4 & y₂ = 6

[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2}, \dfrac{y_{1}+y_{2}}{2} \right)[/tex]

                [tex]=\left(\dfrac{0+4}{2},\dfrac{-14 + 6}{2}\right)\\\\\\= \left(\dfrac{4}{2}, \dfrac{-8}{2} \right)\\\\\\=\left(2, -4 \right)[/tex]

a manufacturer wishes to recieve $4800 for a batch of items. when 1200 items were found to be defective, the selling cost per item increased by $0.20. how many items were manufactured.

Answers

Answer:

Abput 12000 items were produced yes and i think it is nice that yk like yes

Step-by-step explanation:

What is the value of x?

Answers

Answer:

lj= lk din 30 give lj= 4✓2

and ml=x= lj cos 45

on solving x= 4✓2 cos45=4

Help to get the answer

Answers

What answer all you put was help to get the answer I don’t see anything but that I can’t help without anything to work with Sorry

Hope this helps!

A rectangle has a perimeter of 20 cm. What will the perimeter be if the rectangle tripled in size?


ITS A VOLUME QUESTION

Answers

Answer:

Step-by-step explanation:

Holding the perimeter fixed, the shape with greatest area is square ( all sides of the same) length) For your name example a square with a perimeter of 20 cm has sides of 5 cm and area of 5 times 4=20 cm) ^3 hope this helps


Please answer question in screen shot

Answers

Answer:

1 (the answer will always be 1)

Step-by-step explanation:

Let's forget about the absolute value signs for a second and just look at what's inside

[tex]\frac{x+y}{-x-y}[/tex]

This can be rewritten as

[tex]-\frac{x+y}{x+y}[/tex]

When you have the same numerator and denominator, it will always come out to 1, so we can just say that this is saying

[tex]-\frac{x+y}{x+y} = -1[/tex]

Now, back to the absolute value signs

This comes out to negative 1, but the absolute value signs means to always change the negative to a positive (but if it's a positive, it stays positive!)

So that means:

[tex]|-1| = 1[/tex]

and 1 is your answer

Please help 8, 9, and 10 you don't need to explain

Answers

Answer:

8.

x

12

9

4.5

9.

3, 4, 12

3, 3, 12

6, 12

-6, -12

2

10.

plug in x to check work

Step-by-step explanation:

8.

1/2(x + 24) = 21

1/2x +12 = 21

1/2x = 9

x = 18

9.

28 - 3x - 4 = 2x + 12 + x

24 - 3x = 3x + 12

24 - 6x = 12

-6x = -12

x = 2

10.

3x - 18 + 6 = 5x - 6

3x - 12 = 5x - 6

-2x - 12 = -6

-2x = 6

x = -3

hope it help.

can you answer my question, i can help you in math, can you help me in english? please

A company wants to decrease their
energy use by 15%. If their electric
bill is currently $2,100 a month,
what will their bill be if they are
successful? Give your answer
accurate to at least the nearest
dollar.

Answers

15% decrease means the bill would be 85% of the original bill ( 100% -15% = 85%)


multiply the current bill by 85%

2100 x 0.85 = 1.785


the bill would be $1,785

Darren's rectangle measures 3 1/4 units by 4 1/3 units. what is its area

area = ? ?/?

Answers

Answer:

14 1/13

Step-by-step explanation:

13/4*13/3=169/12=14 1/13

6. Roughly what percent of the US
flag is red?

Answers

Answer:

about 14 percent but the exact is 14 3

the red part takes up exactly 41.5% of the US flag. so roughly 41 percent?

extra info: the white is 40.9% and the blue is 17.6%

i hope this helps you!:)

Trigonometric Equations

Solve the equation over the interval [0°, 360°)

2sin^2theta-5sintheta+3=0

Answers

Step-by-step explanation:

The solutions are

S

=

{

30

º

,

150

º

,

270

º

}

Explanation:

The equation is

2

sin

2

θ

+

sin

θ

1

=

0

We can factorise the LHS

(

2

sin

θ

1

)

(

sin

θ

+

1

)

=

0

Therefore,

sin

θ

=

1

,

,

θ

=

270

º

sin

θ

=

1

2

,

,

θ

=

30

º

,

150

º

Which of the following polynomials has solutions that are not real numbers?
A
x2 - 6x +3
B
x2 + 4x +3
-*? - 9x - 10
x? + 2x +3

Answers

Answer:

Option 4 is correct.

Step-by-step explanation:

To find: Polynomial whose solution are not real numbers.

Given Polynomials are Quadratic Polynomial.

So, we can check if solution of quadratic polynomial by find & checking value of discriminant.

Standard form of Quadratic polynomial is given by

ax² + bx + c

then Discriminant, D = b² - 4ac

If, D > 0 ⇒ Solutions are distinct real numbers

if, D = 0 ⇒ Solutions are equal real numbers

if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)

Option A:

By comparing with standard form

a = 1 , b = -6 , c = 3

D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0

Thus, Solutions are Real numbers.

Option B:

By comparing with standard form

a = 1 , b = 4 , c = 3

D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0

Thus, Solutions are Real numbers.

Option C:

By comparing with standard form

a = -1 , b = -9 , c =-10

D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0

Thus, Solutions are Real numbers.

Option D:

By comparing with standard form

a = 1 , b = 2 , c = 3

D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0

Thus, Solutions are not Real numbers.

Therefore, Option 4 is correct.

Step-by-step explanation:

The width of a rectangle with an area of 55 in depends on its length. Write the formula that describes the width of the rectangle as a function of its length.
If the length of the rectangle is m, then the width w = ?

Answers

Answer:

Step-by-step explanation:

[tex]\bf \text{width = $\dfrac{Area}{length}$}[/tex]

[tex]\bf w =\dfrac{55}{m}[/tex]

can you please help me​

Answers

Answer:

168

Step-by-step explanation:

yea..

3 more than 1/2 of a number is 10. What is the number (n)?​

Answers

Answer:15

Step-by-step explanation:

3+1/2=3/2

3/2*10=3*5=15

15

Use E to decode the coded message matrix

Answers

Answer:

D because I was doing it for a while and I know it

What is the mean of the set of data below?

Answers

Answer:

Mean = 8

Step-by-step explanation:

add all the numbers

2+3+5+6+8+11+11+12+14 = 72

then divide by how many number there are which is 9

72 / 9 = 8

A home builder needs to cover the rectangular floor of a closet with a carpet the closet is 2 yards long and 2/3 of a yard wide how much carpet will the home builder need to cover the closet?

Answers

Your Answer is 4 Yards

Step-by-step explanation:

2/3 yards is 2 feet

2 yards is 6 feet

2 times 6 feet is 12 foot e.g. (2 x 6 =  12)

12 feet is 4 yards.

Formula (L x W = A)

L = length

W = Width

A = Area

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Susan reads a book at a rate of 1 page every 3 minutes. If her reading rate remal
the same, which method could be used to determine the number of minutes for t
to read 18 pages?

Answers

18x3 = 54 1 page every 3 minutes 18 pages x3 = 54

(Please show work and No links) If you bought 28 shares of stock at $30/sh and sold them at $25/sh. And How much did you net after selling the shares? Was it a profit or a loss?

Answers

Let C be the total cost;

[tex]c = 28 \times 30 = 840[/tex]

Let R be the total revenue;

[tex]r = 28 \times 25 = 700[/tex]

Let P be the net profit;

[tex]p = r - c[/tex]

[tex]p = 700 - 840 = - 140[/tex]

There was a 140$ net loss.

Question 17 of 30 Will the answer to the subtraction problem below be odd or even? 743 - 353 = ? O A. Odd B.Even

Answers

The answer would be 390 and it is Even

Answer:

answer is 390 which is even number

any number you see has 0,2,4,6,8 at the end of a number is considered as an even number.

any number you see has 1,3,5,7,9 at the end of a number is considered as an odd number.

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