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The measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have a  length of an arc of a circle of radius 7 is approximately 10.99 cm.

The radius r = 7 cm

The arc length l = 10.99 cm

We know,

l = rθ

θ is the central angle.

θ = l/r  = 10.99/7 = 1.57 radians

To convert 1.57 radians into the degree multiply it by 180/π

θ = 89.95 degree

Thus, the measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.

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Answer:

C) Exponential Decay

Step-by-step explanation:

Because the base inside of the parentheses is less than 1, the function will only get exponentially smaller over time.

The y-intercept of f(x) has the same value as the x-intercept. The function f⁻¹(x) has a range including all values greater than or equal to 0; function f(x) does also.

Functions are found all across mathematics and are required for the creation of complex relationships.

A function and its inverse are shown on the same graph.

Complete the sentences to compare the functions.

The y-intercept of f(x) has the same value as the x-intercept.

The function f⁻¹(x) has a range including all values greater than or equal to 0; function f(x) does also.

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Answer: (1, 2) (The third option)

Step-by-step explanation: A solution has to be on the line. (1, 2) is the only point that isn't on the line.

Using translation concepts, it is found that the coordinates of the image of point B is given by: (0, –2).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the rule is given by:

(x,y) -> (x + 5, y - 2).

Hence, the image of point B, given by B', is:

(-5,0) -> (-5 + 5, 0 - 2) -> (0,-2).

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Answer:

360 degrees

Step-by-step explanation:

The sum of the INTERior angles of a pentagon equal

      (n-2)(180) = 540

          each angle is then   540/5 = 108

               each is a supplementary angle to the exterior angle

                       so EACH exterior angle is    180 - 108 = 72

         there are 5 of these    5 * 72 = 360 degrees

Answer:

can you please send the images of figure of these angle

From factoring, the given equation can be rearranged as  [tex]x=\frac{3n}{p}[/tex].

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization.  One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

For solving this question, the given equation should be rewritten  using the variables n and p in different sides. After that, you should  factor out a common term.

[tex]12n + 3px = 7px\\ \\ 12n=7px-3px\\ \\ 12n=4px\\ \\ x=\frac{12n}{4p} =\frac{4*3n}{4p}=\frac{3n}{p}\\ \\ x=\frac{3n}{p}[/tex]

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Answer:

(5√x) / [(3√x)-4]

Step-by-step explanation:

You cannot solve this because 5, 3, and 4 are not factors/multiples of one another

I simplified it though

when the exponent is 1/2, it is the same as taking the square root of something

5x^1/2 is the same as 5√x

3x^1/2 is the same as 3√x

Answer:

Under Islamic law, land ownership is classified into two main categories, frrstly, according to the mode of acquisition or how land came into the possession and ownership of the individual and secondly according to the type of taxation.

Answer:

Are you Muslim I think Pakistan or Saudi

Answer:

1/4 for blue and 3/8 for green

Step-by-step explanation:

2 blue sections out of 8

2/8 simplified is 1/4

3 green sections out of 8

3/8 is the simplest form

An equation is formed of two equal expressions. The correct option is C.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given statement in the form of equations can be written as,

1. The sum of m and n is 32 ⇒ m + n = 32

2. The value of m is three times the value of n ⇒ m=3n

Hence, the correct option is C.

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The attached diagram represents the tree diagram for three consecutive mornings.

The probability of arriving on time is given as:

P(On Time) = 65%

Assume that the bus would definitely show up.

Then it means that the event is a binomial event and the possible outcomes are:

On Time and Late

The above means that the number of possible outcomes is 2.

For three consecutive mornings, the total outcome is:

Total = 2³

Evaluate

Total = 8

This means that the tree diagram would have 8 outcomes

Next, we draw the tree diagram (see attachment)

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Answer:

(12x12)+(12x8)+(12x12)=

Step-by-step explanation:

add that up on ur calculator for the answer

Answer:

Below in bold.

Step-by-step explanation:

4/2 = 2

8/4 = 2

Each term is obtained by multiplying the previous one by 2.

This is a geometric sequence with common ratio r = 2

the nth term

= a1r^(n-1)    where a1 = the first term

= 2(2)^(n-1).

[tex] a_{n} = 2_{n}[/tex]

Step-by-step explanation:

[tex]a_{1} = 2[/tex]

[tex]d = a_{2} - a_{1}[/tex]

[tex] = 4 - 2 = > 2[/tex]

Getting the nth term

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

[tex] a_{n} = 2 + (n - 1)2[/tex]

[tex] a_{n} = 2 + (2n - 2)[/tex]

[tex]a_{n} = 2 + 2n - 2[/tex]

[tex] a_{n} = 2n[/tex]

Answer:

  68

Step-by-step explanation:

Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.

__

The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.

Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.

To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...

  g(x) = 5x +4

  g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math

Now that we know g(-2) = -6, we know this expression is ...

  f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x

Then the value we're looking for is ...

  (f∘g)(-2) = 68

Answer:

1522.584

Step-by-step explanation:

1500(1+.09/12)^2=1522.584

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \:2x(2x - 3) - 3x(x - 2)[/tex]

[tex]\qquad \sf  \dashrightarrow \:(2x \sdot2x) - (2x \sdot3) - (3x \sdot x) - (3x \sdot - 2)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 4 {x}^{2} - 6x- 3 {x}^{2} - ( - 6x)[/tex]

[tex]\qquad \sf  \dashrightarrow \:4 {x}^{2} - 3 {x}^{2} - 6x + 6x[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} [/tex]

I hope the Step were clear to you ~

Answer:

x²

Step-by-step explanation:

Given: 2x(2x - 3) - 3x(x - 2)

Distributive Property: a(b + c) = ab + ac

1. Distribute

⇒ 2x(2x) + 2x(-3) + -3x(x) + -3x(-2)

⇒ 4x² - 6x - 3x² + 6x

2. Combine like terms

⇒ 4x² - 3x² - 6x  + 6x

⇒ x²

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Answer:

3844.98

Step-by-step explanation:

Use this formula: P(1+b)^x

500(1.12)^18 (put in calculator).

Hope this helps!

If not I am sorry.

Answer:

32

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

Answer:

12.5

Step-by-step explanation:

x = 2.5, 5x = ?

5(2.5) = 5 x 2.5 = 12.5

The equation that represent the graph is  y = (1/2)eˣ , Option B is the correct answer.

An exponential function is what is denoted as y = eˣ

The graph has to be studied and the equation has to be determined.

To determine we will consider x = 0 for all the equation ,. which will give the y intercept , which is below 1 so Option C and D are stroked out.

Now we plot the graph for equation A and B

It can be easily understood from the graph that at x =0 , y = 0.5

Therefore , the equation that represent the graph is

y = (1/2)eˣ

Option B is the correct answer.

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Answer:

Centroid

Step-by-step explanation:

It is a centroid because x is the center of the triangle

may I get brainliest?

Hope this helps :)

The term best describes point X is option A. Centroid.

The point of intersection of a triangle's medians is its centroid (the lines joining each vertex with the midpoint of the opposite side).

here, we have,

If the surface is plane triangle approximately and mass is uniformly distributed, then its center of mass will lie on the centroid of that triangle.

we have,

If the triangle has its vertices as (x1, y1) (x2,y2) (x3,y3)  

then the coordinates of the centroid of that triangle is given by:

(x, y ) = (x1+x2+x3/3 , y1+y2+y3/3 )

Hence, The term best describes point X is option A. Centroid.

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Based on the preferred dividends, the dividends for preferred and common stock in each year are:

Preferred stock dividends:

Common stock dividends:

Preferred shares have a specific dividend, and as these are cumulative shares, the dividends that are not paid in one year, will be paid in the next.

Dividends per year:

= 20,000 x 2% x 150

= $60,000

20y1 dividend per share:

= 60,000 / 20,000

= $3.00 per share

20y2 dividend per share:

= 24,000 / 20,000

= $1.20 per share

20y3 dividend per share:

The remaining dividend from 20y2 will have to be paid here:

= (60,000 + (60,000 - 24,000)) / 20,000

= 96,000 / 20,000

= $4.80 per share

Preferred dividends are paid first:

Common dividends are:

= (Amount distributed as dividends - Preferred dividends) / Number of common shares

In 20y1:

= (120,000 - 60,000) / 50,000

= $1.20

In 20y2:

= (45,000 - 45,000) / 50,000

= $0 per share

In 20y3:

= (180,000 - 96,000) / 50,000

= $1.68 per share.

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The answer is (3,0)

Sure hope this helps you

Answer:

c=1 and c=3

Step-by-step explanation:

If x>0 and y>0, then

\sqrt{\dfrac{50x^6y^3}{9x^8}}=\sqrt{\dfrac{25\cdot 2y^2\cdot y}{9x^2}}=\dfrac{5y\sqrt{2y}}{3x}.

9x

8

50x

6

y

3

=

9x

2

25⋅2y

2

⋅y

=

3x

5y

2y

.

If

\dfrac{5y\sqrt{2y}}{3x}

3x

5y

2y

is equal to

\dfrac{5y^c\sqrt{2y}}{dx},

dx

5y

c

2y

,

then

\begin{gathered}y=y^c\Rightarrow c=1,\\ \\3x=dx\Rightarrow d=3.\end{gathered}

y=y

c

⇒c=1,

3x=dx⇒d=3.

Answer:

you do 5 multiplied by 4 and plus 3 I hope this helps

Answer:

y=-1/2x+15/4

Step-by-step explanation:

transfer the equation into slope intercept form. subtract 4x from each side getting 8y=-4x+30 then divide by 8.