i do not know the answer to this

The complete table for the pie chart is;

Type of Film             Frequency           Angle in °

Action                            4                           72°

Horror                           11                            198

Comedy                         5                            90

From the given table used to form the pie chart, we see that;

Type of Film             Frequency           Angle in °

Action                            4                           72°

Horror                           11                            

Comedy                         5

We know that the angles in a circle is equal to 360 degrees. Thus;

Angle composed of horror and comedy = 360 - 72 = 288°

Thus;

Angle for horror film = (11/(4 + 11 + 5)) * 360°

= (11/20) * 360°

= 198°

Thus;

Angle for comedy = 288° - 198° = 90°

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The value of D represents the vertical displacement or shift of the basic cosine graph. Therefore, the vertical displacement of the given graph is pi - 3.

What is Displacement?

In physics, displacement refers to the distance and direction of an object's change in position from its starting point. It is a vector quantity that measures the overall change in position of an object, regardless of the path it took to get there. Displacement can be positive, negative, or zero depending on the direction and distance of the movement.

To find the vertical displacement of the basic graph to produce a graph of y = pi - 3 cos(x - 2), we need to compare the given equation with the general cosine function y = A cos(Bx - C) + D.

Here, A = 3, B = 1, C = 2, and D = pi - 3.

The value of D represents the vertical displacement or shift of the basic cosine graph. Therefore, the vertical displacement of the given graph is pi - 3.

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Using the method of mathematical induction, we show that the inequality σ(n) > H(n) holds for all n≥1. Thus, the inequality n≥1 is true for all n≥1.

It is a  a technique used in mathematics to prove that a statement is true for every positive integer or natural number. It consists of two steps:

We can calculate like this:

Base case: Show that the inequality holds for n=1.

Inductive hypothesis: Assume that the inequality holds for some arbitrary positive integer k, i.e., k ≤ 2^(σ(k)/Hk).

Inductive step: Show that the inequality also holds for k+1. Consider σ(k+1) and H(k+1). We can express them as σ(k+1) = σ(k) + k+1 and H(k+1) = H(k) + 1/(k+1).

Using the inductive hypothesis, we have:

So, we can raise both sides to the power of (k+1)/(kH(k+1)) to get:

By the AM-GM inequality, we know that σ(k+1)/k+1 ≥ H(k+1), so we can replace the denominator (kH(k+1)) with H(k+1) and simplify to get

Therefore, we have shown that k+1 ≤ 2^(σ(k+1)/H(k+1)), which means the inequality holds for all positive integers n by mathematical induction.

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(1) The inverse function is:  [tex]f^-1 (y)[/tex] = (y - 8)/0.75 (2) In the inverse function, y represents the number of units produced and x is the hourly wage.(3) an hourly wage of $22.25 is approximately 14.93.

If a vertical line drawn anywhere on the graph of a relation only intersect at one point on the graph, then this graph represents a function. If a vertical line can intersect the graph at two or more points,  the graph does not represent a function.

(a) To find the inverse function, we must solve for x in terms of y.

y = 8 + 0.75x

y - 8 = 0.75x

x = (y - 8)/0.75

So the inverse function is:

[tex]f^-1 (y)[/tex] = (y - 8)/0.75

(b) In the inverse function, y represents the number of units produced and x is the hourly wage.

(c) To determine the number of units produced when the hourly wage is $22.25, we need to plug  y = 22.25 into the inverse function we found in part (a):

[tex]f^{-1}[/tex](22.25) = (22.25 - 8)/0.75

[tex]f^{-1}[/tex](22.25) = 14.93

Therefore, the number of units produced at an hourly wage of $22.25 is approximately 14.93.

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There are currently about 10,361,248 people requesting financial aid, which is an increase of 6.74% from ten years ago.

By reducing the financial barrier, it supports the advancement of your academic and professional ambitions.

Its current number of applications can be determined by multiplying 9,720,000 with 1.0674 (which equals a 6.74% increase)

If there were 9,720,000 people asking for financial help 10 years ago and there have been 6.74 times as many applicants since then. As a result, there are currently 10,361,248 applicants for financial aid, or 9,720,000 x 1.0674.

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The range of the function is all real numbers.

In mathematics, a function is an expression, rule, or law that specifies a relationship between two variables (the independent variable and the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

We know,

The x-values (Input values) on the graph define the domain of the function.

and, The y-values (output values) on the graph determine the range of a function.

From the graph attached,

Here the x value start from +1 to ∞.

Thus, the range of the function is all real numbers.

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Answer:2^1 × 3^2 × 13^1

Step-by-step explanation:

Answer:

Option A, is 8x^6.

Step-by-step explanation:

4x³ × 2x³ = (4 × 2) x^(3+3) = 8x^6

Therefore, 4x³ × 2x³ simplifies to 8x^6.

You're welcome. :)

A) 8x⁶

Exponents have different rules for operations such as multiplication.

Multiplying Coefficients

When multiplying different terms with exponents, the first thing we should do is multiply the coefficients. Even though there are variables with different exponents, we still multiply the coefficients like normal. This means that the coefficient of the answer should be 8 because 4 * 2 =8. However, you should note that you can only multiply the coefficients and simply the expression if the terms have the same variable.

Multiplying Exponents

To multiply 2 terms with exponents, you should add the exponents together. For example, x⁴ * x⁶ = x¹⁰. No matter what the coefficients are, if the variables are the same, then this method will work. This means that x³ * x³ = x⁶. Then, combine this with the coefficient from before and 4x³ * 2x³ = 8x⁶.

Answer:

Step-by-step explanation:

sedimentary, igneous, metamorphic

Answer: sedimentary, igneous, metamorphic.

have an amazing day and crush that homework/class!

branliest?

Answer:

L = (14x^2 - x - 3) / (2x - 1)

Step-by-step explanation:

The area of the rectangular lane is given as 14x^2 - x - 3 square feet.

Let's assume that the length of the lane is L feet. Then the formula for the area of a rectangle is:

Area = Length x Width

Substituting the values given in the question, we have:

14x^2 - x - 3 = L x (2x - 1)

To find an expression for the length of the lane, we can rearrange the equation to solve for L:

L = (14x^2 - x - 3) / (2x - 1)

Therefore, the expression that represents the length of the lane is:

L = (14x^2 - x - 3) / (2x - 1)

A single scoop is $0.40 cheaper per scoop than a scoop in a 3-scoop cone.

To compare the cost of each scoop of ice cream in a 3-scoop cone and a single scoop, we need to calculate the cost per scoop for each option.

In a 3-scoop cone, the cost of each scoop can be found by dividing the total cost by the number of scoops. Therefore, the cost of each scoop in a 3-scoop cone is:

4.80 ÷ 3 = 1.60

On the other hand, a single scoop of ice cream costs $2. Therefore, the cost of each scoop in a single scoop is:

2 ÷ 1 = 2

Comparing the two options, we can see that a single scoop of ice cream costs less per scoop than a 3-scoop cone. Specifically, a single scoop is $0.40 cheaper per scoop than a scoop in a 3-scoop cone.

Therefore, choosing a single scoop of ice cream over a 3-scoop cone will result in a cost savings of $0.40 per scoop.

In conclusion, when comparing the cost per scoop of ice cream, a single scoop is cheaper than a scoop in a 3-scoop cone. The cost savings per scoop is $0.40.

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Answer: Jenny's score is no less than 5 points greater than 4/5 of Terrance's score.

Step-by-step explanation:

The inequality that represents the situation described is:

Jenny's score (denoted as "J") is no less than 5 points greater than 4/5 of Terrance's score (denoted as "T"):

J ≥ (4/5)T + 5

In this inequality, we are saying that Jenny's score "J" must be greater than or equal to 4/5 of Terrance's score "T", plus an additional 5 points. This reflects the condition that Jenny's score should be at least 5 points higher than 4/5 of Terrance's score.

For example, if Terrance's score "T" is 80, then 4/5 of Terrance's score is (4/5) * 80 = 64. Adding 5 points to this gives us 69. Therefore, Jenny's score "J" must be greater than or equal to 69 in this case, since it should be no less than 5 points greater than 4/5 of Terrance's score.

Answer:

x = 16°

Step-by-step explanation:

What we know:

∠JML = 47°

∠JKL = (7x + 21)°

∠JML is an inscribed angle

∠JKL is an inscribed angle

Inscribed angles are half of the value of their intercepted arc

So if m∠JML = 47° then mArc JL is double that or 94°

And ∠JKL is intercepted by Arc JML which is the rest of the circle not intercepted by ∠JML so

mArc JL + Arc JML = 360°

94 + Arc JML = 360

Subtract 94 from both sides to isolate Arc JML

Arc JML = 266°

So if Arc JML = 266° then it's intercepted inscribed angle is half of that.

Arc JML ÷ 2 = ∠JKL

266 ÷ 2 = ∠JKL

133 °= ∠JKL

Now we can use this value and set it equal to the expression to find the value of x

(7x + 21) = 133

Subtract 21 from both sides to isolate the x

7x = 112

Divide both sides by 7

x = 16

Answer

15,625

Step-by-step explanation:

Solution of expression 625 x 25 is, 15,625

We have to given that,

An expression to solve,

625 x 25

Since,To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We can multiply is,

625 x 25

= 15,625

Therefore, Solution of expression 625 x 25 is, 15,625

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Answer:

  (I₁, I₂) = (1, 1)

Step-by-step explanation:

You want the matrix version of the given circuit equations, and the solution by matrix methods and by Cramer's rule.

The coefficients of the variables fill matrix A; the constants fill matrix (column vector) B:

  AI = B

  [tex]\left[\begin{array}{cc}15&5\\25&5\end{array}\right]\left[\begin{array}{c}I_1\\I_2\end{array}\right]=\left[\begin{array}{c}20\\30\end{array}\right][/tex]

The solution to this matrix equation can be found by left-multiplying both sides by the inverse of matrix A. The inverse of a 2×2 matrix is the transpose of the cofactor matrix, divided by its determinant. It can be written down, as the form is simple: diagonal elements are swapped; off-diagonal elements are negated.

  [tex]A^{-1}=\dfrac{1}{15(5)-25(5)}\left[\begin{array}{cc}5&-5\\-25&15\end{array}\right]=\left[\begin{array}{cc}-0.1&0.1\\0.5&-0.3\end{array}\right]\\\\\textsf{Multiplying by $A^{-1}$, we have ...}\\\\\left[\begin{array}{cc}-0.1&0.1\\0.5&-0.3\end{array}\right]\left[\begin{array}{cc}15&5\\25&5\end{array}\right]\left[\begin{array}{c}I_1\\I_2\end{array}\right]=\left[\begin{array}{cc}-0.1&0.1\\0.5&-0.3\end{array}\right]\left[\begin{array}{c}20\\30\end{array}\right][/tex]

  [tex]\left[\begin{array}{cc}1&0\\0&1\end{array}\right]\left[\begin{array}{c}I_1\\I_2\end{array}\right]=\left[\begin{array}{c}(-0.1)(20+(0.1)(30)\\(0.5)(20)+(-0.3)(30)\end{array}\right]\\\\\\\left[\begin{array}{c}I_1\\I_2\end{array}\right]=\left[\begin{array}{c}1\\1\end{array}\right][/tex]

Cramer's rule requires we find three determinants. We already found the determinant of the coefficient matrix, above. It is D = -50. The other two are ...

  [tex]D_1=\left|\begin{array}{cc}20&5\\30&5\end{array}\right|=(20)(5)-(30)(5)=-50\\\\\\D_2=\left|\begin{array}{cc}15&20\\25&30\end{array}\right|=(15)(30)-(25)(20)=-50\\\\\\I_1=\dfrac{D_1}{D}=\dfrac{-50}{-50}=1\qquad I_2=\dfrac{D_2}{D}=\dfrac{-50}{-50}=1\\\\\\\left[\begin{array}{c}I_1\\I_2\end{array}\right]=\left[\begin{array}{c}1\\1\end{array}\right][/tex]

The value of y in the triangle is 20.

What is the triangle?

A triangle is a polygon with three sides and three angles. It is the simplest and most basic polygon in Euclidean geometry.

According to the given information:

From the figure, we can say that ΔABC and ΔABI are similar.

we can write proportions as

[tex]\frac{y}{30} =\frac{30}{y+25}[/tex]

y(y+25) = 30*30

[tex]y^{2}[/tex]+25y=900

[tex]y^{2}[/tex]+25y-900 = 0

On solving we can use quadratic formula y = (-b ± √(b^2 - 4ac)) / (2a)

For the given equation y^2 + 25y - 900 = 0, we can identify a = 1, b = 25, and c = -900.

Plugging these values into the quadratic formula, we get:

y = (-25 ± √(25^2 - 4 * 1 * -900)) / (2 * 1)

Simplifying further:

y = (-25 ± √(625 + 3600)) / 2

y = (-25 ± √(4225)) / 2

y = (-25 ± 65) / 2

Now we can solve for two possible values of y:

y = (-25 + 65) / 2 = 40 / 2 = 20

y = (-25 - 65) / 2 = -90 / 2 = -45

So the two possible values of y that satisfy the given equation are y = 20 and y = -45.

distance cannnot be negative, so the value of y is 20.

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Answer:

AM and AR

Step-by-step explanation:

A is the center, AR is a radius and so is AM

When we solve the radical equation, we can see that the value of x is -113.

A radical equation is an equation in which one or more variables are under a radical sign, such as a square root, cube root, or higher-order root. These equations involve expressions with radicals that contain the variable, and the goal is usually to isolate the variable on one side of the equation.

Given that;

10 + √2x + 1 = -5

√2x + 1 = - 5 - 10

√2x + 1 = - 15

Square both sides;

2x + 1 = -225

2x = -225 - 1

2x = -226

x = -113

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Boat is 4.195 miles or  6.749755 km far from the lighthouse B.

The boat has moved 4 kilometers from point A to point x. The distance between B and x is what we're looking for.

Trigonometry can be used to overcome this issue. Let's abbreviate the distance "d" from A to x. Then, we can apply the following formula:

tan(65°) = (9 / d)

We can rearrange this formula to solve for d:

d = 9 / tan(65°)

We find that:

tan(65°) = 2.1445

So, d = 9 / 2.1445

= 4.195 miles (rounded to the nearest tenth)

or  6.749755 km.

Hence, Boat is 4.195 miles or  6.749755 km far from the lighthouse B.

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The perimeter of the given shape in terms of pi is 22 cm + 25 pi cm.

The circumference of the rectangle is equal to the sum of the lengths of its four sides. It is simple to do this because there are two of each side length; all that is needed is to sum the length and width and multiply the result by two.

By multiplying half of the semicircle's circumference by the diameter's length, one can determine the semicircle's perimeter. Thus, the semicircle's perimeter is as follows:

Perimeter of semicircle = 6 cm + (1/2) x pi x 6 cm

Perimeter of semicircle = 6 cm + 3 pi cm

Each quarter circle has a perimeter that is just one-fourth of its circumference. Consequently, the 14 cm quarter circle's perimeter is as follows:

Perimeter of quarter circle with radius 14 cm = (1/4) x 2 pi x 14 cm

Perimeter of quarter circle with radius 14 cm = 7 pi cm

And, the perimeter of the quarter circle with radius 30 cm is:

Perimeter of quarter circle with radius 30 cm = (1/4) x 2pi x 30 cm

Perimeter of quarter circle with radius 30 cm = 15 pi cm

Therefore, the total perimeter of the given shape is:

Perimeter = Perimeter of semicircle + Perimeter of quarter circle with radius 14 cm + Perimeter of quarter circle with radius 30 cm

Perimeter = (6 cm + 3 pi cm) + (7 pi cm) + (15 pi cm)

Perimeter = 22 cm + 25 pi cm.

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The value of measure of ∠ RST is,

⇒ ∠ RST = 34°

We have to given that;

In circle S with m ∠RUT = 17°

Hence, We get;

⇒ ∠ RST = 2 × ∠ RUT

⇒ ∠ RST = 2 × 17°

⇒ ∠ RST = 34°

Thus, The value of measure of ∠ RST is,

⇒ ∠ RST = 34°

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2. The total dollar amount for each cash dividend is $23,700.

 1. Calculation of outstanding common shares on each cash dividend date:

2.

Calculation of total dollar amount for each cash dividend:

Therefore, the total dollar amount for each cash dividend is $23,700.

3.

Calculation of the capitalization of retained earnings for the stock dividend:

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The equity sections from Atticus Group’s 2016 and 2017 year-end balance sheets follow Stockholders’ Equity (December 31, 2016)

Common stock—$4 par value, 100,000 shares

authorized, 40,000 shares issued and outstanding . .. . . . . . . . . . $160,000

Paid-in capital in excess of par value, common stock .. . . . . . . . . . . . . . . . 120,000

Retained earnings .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 320,000

Total stockholders’ equity .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $600,000

Stockholders’ Equity (December 31, 2017)

Common stock—$4 par value, 100,000 shares

authorized, 47,400 shares issued, 3,000 shares in treasury . .. . . . . . . $189,600

Paid-in capital in excess of par value, common stock . . . . . .. . . . . . . . . . . . 179,200

Retained earnings ($30,000 restricted by treasury stock) .. . . . . . . . . . . . . 400,000

768,800

Less cost of treasury stock . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (30,000)

Total stockholders’ equity . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . $738,800

The following transactions and events affected its equity during year 2017.

Jan. 5 Declared a $0.50 per share cash dividend, date of record January 10.

Mar. 20 Purchased treasury stock for cash.

Apr. 5 Declared a $0.50 per share cash dividend, date of record April 10.

July 5 Declared a $0.50 per share cash dividend, date of record July 10.

July 31 Declared a 20% stock dividend when the stock’s market value was $12 per share.

Aug. 14 Issued the stock dividend that was declared on July 31.

Oct. 5 Declared a $0.50 per share cash dividend, date of record October 10.

Required

1. How many common shares are outstanding on each cash dividend date?

2. What is the total dollar amount for each of the four cash dividends?

3. What is the amount of the capitalization of retained earnings for the stock dividend?

Answer:

1) -8m

2) -x

3) -4y

4)

[tex] - 17x {y}^{3} [/tex]

5) p

6) 0

7) 15m + 10

8) r - 7

9) 5x - 22

10)

[tex]3 {m}^{2} [/tex]

11)

[tex]7 {x}^{2} - x[/tex]

12) 22pq - 8p

13)

[tex] - 13 {r}^{2} - 6r[/tex]

14) -19

15) 0

16) 3.07y

17)

[tex] - 4 {m}^{2} - 35m[/tex]

18)

[tex]x {y}^{2} - 3 {x}^{2} y[/tex]

19) .3mn + 4.7m

20) 3r + 2j + m + 3

21)

[tex] - 4 {x}^{2} - 16x + 11[/tex]

22)

[tex]3 {y}^{4} - {y}^{2} + 11[/tex]

Answer:i think it is c

Step-by-step explanation:

Step-by-step explanation:

706 -25 = 681 ====>    which is three pieces of 681/3 = 227 m

              but one is 25 m longer so 227,  227 , and 227 + 25 =252 m

The result of (6 - 25) = (6² - √25) = (36 - 5) = 31

A sequence is a list of numbers arranged in a specific order, while a series is the sum of the terms of a sequence. In other words, a sequence is a collection of numbers that follow a particular pattern or rule, and a series is the result obtained by adding these numbers together.

The sequence of equations, it appears that each result is obtained by subtracting the square of first number to the square root of second number:

2 - 1 = 2² - √1 = 4 - 1 = 3

3 - 4 = 3² - √4 = 9 - 2 = 7

4 - 9 = 4² - √9 = 16 - 3 = 13

5 - 16 = 5² - √16 = 25 - 4 = 21

3 - 81 = 3² - √81 = 9 - 9 = 0

Similarly,

6 - 25 = 6² - √25 = 36 - 5 = 31

Therefore, the result of 6 - 25 = 6² - √25 = 36 - 5 = 31

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Answer:

Hello... im exhausted but ill solve it i guess

To solve for x in the equation 2/5 + x = 1, we can follow these steps:

Subtract 2/5 from both sides of the equation to isolate the x term:

2/5 + x - 2/5 = 1 - 2/5

This simplifies to:

x = 1 - 2/5

Find a common denominator for 1 and 2/5, which is 5:

x = 5/5 - 2/5

Subtract 2/5 from 5/5:

x = 3/5

So, the solution for x in the given equation is x = 3/5.