Which expression is equivalent to [tex]sin\frac{7\pi }{6}[/tex]?

Answer:

  see attached

Step-by-step explanation:

The boundary lines and solution region are shown on the attached graph. It is convenient to let a graphing calculator plot them.

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If you'd like to plot the boundary lines by hand, it is useful to note the equations for them are in standard form:

  ax +by = c

This means the slope is m = -a/b, and the y-intercept is c/b. Here, the odd constant values mean that (most) intercepts will involve fractions.

  slope: -2/5

  y-intercept: 19/5 = 3.8

  points on the line: (7, 1), (2, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

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  slope: 1/2

  y-intercept: 9/2 = 4.5

  points on the line: (1, 5), (-3, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

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The lines have slopes of opposite signs, so cross in a fashion that forms an "X" on the graph. Shading is left of both lines, so will be in the left quadrant of the X. The boundary lines are not part of the solution region.

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Additional comments

The boundary line will be solid when the inequalitiy includes the "or equal to" case. This is identified by the symbols ≤ or ≥. Here, we have the symbol <, which does not include the "or equal to" case, so the boundary line is dashed. (The same would be true for an inequality using >.)

To determine shading direction, it is convenient to pick a variable with a positive coefficient, and look at its relation to the inequality symbol. In the first inequality, we could choose either of ...

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In the second inequality, the only variable with a positive coefficient is x, and its relation to the inequality symbol is ...

If we were to rewrite the second inequality to give the y-variable a positive coefficient, we could get either of ...

Either way, the shading is above the dashed line.

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About points on the line:

The inequalities have odd constants (19, -9) and coefficients with different parity (one even, one odd). That makes it convenient to choose an odd value for the variable with the odd coefficient. The result will be an integer value for the variable with the even coefficient.

Answer:

It walks 46.08 meters

Step-by-step explanation:

It states that the toriose's speed is 7.68 m per minute, all we have to do is 7.68 m per minute times 6 minutes.

7.68 * 6 = 46.08

It walks 46.08 meters

Answer:

5x² - x - 4

Step-by-step explanation:

B(x) + C(x)

= - 3x - 4 + 5x² + 2x ← collect like terms

= 5x² - x - 4

Answer:

33

Step-by-step explanation:

Answer:

x = 45, y = 24.

Step-by-step explanation:

If the 2 numbers are x and y:

x + y = 69...........(1)

x = 2y - 3

x - 2y = -3...........(2)

Subtract: (1) - (2):

x - x + y - (-2y) = 69 - (-3)

y + 2y = 72

3y = 72

y = 24.

From equation 1:-

x + 24 = 69

x = 45.

Answer:

one number would be 63 and the other would be 6

Step-by-step explanation:

69/2=34.5

it says 3 less which means minus 3, so you would:

34.5-3=31.5

then it says twice the smaller number, so you would:

31.5*2

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Circles,

so we get as,

centre as ==> ( -g, -f) ==> (2,-1)

Answer:

C. (5, 1)

Step-by-step explanation:

Because the slope of F and G is 2, we know that the other points with the same distance are also going to have a slope of ±2. The only answer choice that fits this criteria is C

Hope this helps!

Answer:

c. 11

Step-by-step explanation:

Bottom row: 6 cubes

middle row: 4 cubes

top row: 1 cube

11 cubes total.

Answer:

19.99

Step-by-step explanation:

use the formula

[tex]\pi {r}^{2} h = v[/tex]

change it up so that you solve for height

[tex] \frac{v}{ {r}^{2} \times \pi } = h[/tex]

substitute values in and solve

Answer:

20.00 mm to the nearest hundredth.

Step-by-step explanation:

V = π r^2 h

22,670.8 = π * 19^2 * h

h =  22,670.8 /  π * 19^2

= 22,670.8 / 1134.115

= 19.9899

The function y = √(x + 2) + 3 is a quadratic function. Then the correct optin is A.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The equation is given below.

[tex]y = (x+2)^{1/2} + 3[/tex]

The equation can be written as

[tex]y - 3= (x+2)^{1/2}[/tex]

Square on both sides, we have

[tex]\begin{aligned} (y - 3)^2 &= [(x+2)^{1/2}]^2 \\\\x + 2 &= y^2 + 9 -6y \\\\x &= y^2 -6y +7 \end{aligned}[/tex]

The equation is a quadratic equation.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Answer:

A) Quadratic

Explanation:

Hope you have a great day!

Answer:

6

Step-by-step explanation:

common difference = (n + 1) - nth term = 13 - 7 =6

Answer:

subtract 6 every time

Step-by-step explanation:

you subtract first term from second term

Answer:

1.   E:  20a - 18

2.  D:  42

3.  G:  17b + 3

4.  I:  105

CODE: EDGI

Step-by-step explanation:

Question 1

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

Perimeter = 2(2a + 3) + 2(8a - 12)

                 = 4a + 6 + 16a - 24

                 = 20a - 18

Question 2

When a = 3

⇒ perimeter = 20(3) -18

                     = 60 - 18

                     = 42 centimeters

Question 3

The dashes on the side lengths mean those sides are equal in length.

⇒ perimeter = (7b - 2) + (7b - 2) + (3b + 7)

                     = 17b + 3

Question 4

When b = 6

⇒ perimeter = 17(6) + 3

                     = 102 + 3

                     = 105 meters

Answer:

136.

Step-by-step explanation:

-8 . (-10+(-7))

= -8*-10 + - 8*-7

= 80 + 56

= 136.

Answer:

Your answer would be the first one, 7/8 and 0.92, because they are only ones greater than 5/7 the rest equal under 5/7

Answer:

The two solutions: 7/8 & 0.92

Step-by-step explanation:

[tex]\frac{5}{7} =0.714[/tex]

7/8 = 0.875,  because 0.875 [tex]\geq 0.714[/tex]

0.92 because [tex]\geq[/tex] 0.714

Hope this helps

Answer:

5  1/4

Step-by-step explanation:

3 3/4  / ( 5/7) =

15/4  / ( 5/7) =

15/4  *  7/5  =

(15*7) / (4*5 )

105 / 20  =  5 1/4

Answer:

5.25

Step-by-step explanation:

Turn mixed number into a improper fraction.

Divide fraction by 20.

It doesn’t matter if 5 1/4, or 21/4 or 5.25., they all equal the same.

Answer:

24

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=24

Hey there!

23/12
= 23/1 ÷ 12/1

= 23/1 × 1/12

= 23(1) × 1(12)

= 23/12

≈ 1 11/12

Those steps above are somewhat easier to solving your given equation!

Anyways, your answer is: 1 11/12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

the answer is 1 11/12

Step-by-step explanation:

we know that 23 can fit once into 12,
so we can subtract 23 by 12 to get 11
now, we have 1 11/12

1 11/12

Answer: domain: [-6,6] range: [-4,3]

Step-by-step explanation: domain is the smallest to biggest x value range is the smallest to biggest y value

Answer:

For the first problem:

10b + 6t = 568

9b + 3t = 348

For the second problem:

c + a = 1500

3.50c + 6a = 7580

Answer:

68 degrees.

Step-by-step explanation:

A right angle is 90 degrees. If you subtract 90-22 you will get 68.

Answer:

20 eggs

Step-by-step explanation:

4 = 24 muffins

4*5 = 20

20 = 60 muffins

Good Luck!

Answer:

Area of the sheet = 2×2 = 4 feet2

Step-by-step explanation:

I think you're question is incomplete or is missing an attachment.

Using the binomial distribution, it is found that the expected value of his test score is of 6.8.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, the parameters are given as follows:

Hence, the expected score is given by:

E(X) = 6 x 1 + 4 x 0.2 = 6.8.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

A.

Step-by-step explanation:

Answer:

r=53 degrees

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yan po

Answer:

x = 81

Step-by-step explanation:

Given:

[tex]\displaystyle \large{19x+28=20x-53}[/tex]

Subtract both sides by 28:

[tex]\displaystyle \large{19x+28-28=20x-53-28}\\\displaystyle \large{19x=20x-81}[/tex]

Subtract both sides by 19x:

[tex]\displaystyle \large{19x-19x=20x-81-19x}\\\displaystyle \large{0=x-81}[/tex]

Add both sides by 81:

[tex]\displaystyle \large{0+81=x-81+81}\\\displaystyle \large{81=x}\\\displaystyle \large{\therefore x=81}[/tex]

Therefore, the solution is x = 81

Let me know if you have any questions!

[tex]{\boxed{\mathfrak{✿ฺSolution :}}} [/tex]

[tex] \bold{ 19x+28 = 20 x - 53 }[/tex]

[tex] \bold{ 19x+28 - 28 =20x - 53 - 28}[/tex]

[tex]\bold{ 19x = 20x - 81 }[/tex]

[tex]\bold{ 19x - 20x = 20x - 81 - 20x }[/tex]

[tex]\bold{ -x = - 81 }[/tex]

[tex]\bold{ \frac{ - x}{ - 1} = \frac{ - 81}{ - 1} }[/tex]

[tex] \bold{ x = 81 }[/tex]

Answer:

65⁰ because the opposite angles of parallelogram are equal...

Answer:

The answer is the 1

Step-by-step explanation:

She has a less chance because there are 4 questions with 4 answers so that decreased her chances.

Answer:

  c. 33.0%

  d. 14.5%

Step-by-step explanation:

For answering questions about percentages in different categories or combinations of categories, it is convenient to find the totals of rows and columns in the table. These totals are shown in the attached.

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Students who surf total 32+65 = 97. Of those, 32 also skateboard. The requested percentage is ...

  32/97 × 100% ≈ 33.0% . . . . surfers who also skateboard

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The total number of students is 166. Of those, the number who neither surf nor skateboard is 24. That percentage is ...

  24/166 × 100% ≈ 14.5% . . . . students who don't surf or skateboard

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Additional comment

a. 97/166 ≈ 58.4% surf

b. 89/166 ≈ 53.6% do not skateboard

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This sort of table is called a "two-way table." One set of categories is represented in rows, another set is represented in columns. This table is filled with frequencies. Such tables can also display relative frequencies by dividing the entire table by the total of totals in the lower right corner.