answer hurryyyyyyyyy​

The amount of Dividends of $3,000, $5,000, $34,500, and $71,000 were distributed to the 20,000 preferred and 25,000 common shareholders of Lightfoot Inc. over the first four years of operations.

To calculate the dividend per share of the preferred and common stock of Lightfoot Inc., the total amount of dividends paid out over the first four years must first be determined. This can be done by adding the given amounts of $3,000, $5,000, $34,500, and $71,000 to get a total of $113,500. To find the dividend per share for the preferred stock, the total dividend is divided by the number of shares (20,000) which gives a dividend per share of $5.68. To find the dividend per share for the common stock, the total dividend is divided by the number of shares (25,000) which gives a dividend per share of $4.54.

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So everything you have now is right so far:

\(\cos(24) = \frac{z}{118}\)

Multiply 118 to the left side to isolate z

\(118\cdot\cos(24) = z\)

z = 50.05

Hope this helps

Answer:

a

   The  percentage is

            \(P(x_1 < X < x_2 ) = 51.1 \%\)

b

   The probability is  \(P(Z > 2.5 ) = 0.0062097\)

Step-by-step explanation:

From the question we are told that

        The  population mean is  \(\mu = 800\)

        The  variance is  \(var(x) = 1600 \ kg\)

        The  range consider is  \(x_1 = 778 \ kg \ x_2 = 834 \ kg\)

         The  value consider in second question is  \(x = 900 \ kg\)

Generally the standard deviation is mathematically represented as

        \(\sigma = \sqrt{var (x)}\)

substituting value

        \(\sigma = \sqrt{1600}\)

       \(\sigma = 40\)

The percentage of a cucumber give the crop amount between 778 and 834 kg  is mathematically represented as

       \(P(x_1 < X < x_2 ) = P( \frac{x_1 - \mu }{\sigma} < \frac{X - \mu }{ \sigma } < \frac{x_2 - \mu }{\sigma } )\)

    Generally  \(\frac{X - \mu }{ \sigma } = Z (standardized \ value \ of \ X)\)

So

      \(P(x_1 < X < x_2 ) = P( \frac{778 - 800 }{40} < Z< \frac{834 - 800 }{40 } )\)

      \(P(x_1 < X < x_2 ) = P(z_2 < 0.85) - P(z_1 < -0.55)\)

From the z-table  the value for  \(P(z_1 < 0.85) = 0.80234\)

                                            and \(P(z_1 < -0.55) = 0.29116\)  

So

             \(P(x_1 < X < x_2 ) = 0.80234 - 0.29116\)

             \(P(x_1 < X < x_2 ) = 0.51118\)

The  percentage is

            \(P(x_1 < X < x_2 ) = 51.1 \%\)

The probability of cucumber give the crop exceed 900 kg is mathematically represented as

             \(P(X > x ) = P(\frac{X - \mu }{\sigma } > \frac{x - \mu }{\sigma } )\)

substituting values

             \(P(X > x ) = P( \frac{X - \mu }{\sigma } >\frac{900 - 800 }{40 } )\)

             \(P(X > x ) = P(Z >2.5 )\)

From the z-table  the value for  \(P(Z > 2.5 ) = 0.0062097\)

Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

Answer:

true

Step-by-step explanation:

6(6(13x-2)

36(13x-2)

468x-72

please mark brainliest :D

Answer:

True

Step-by-step explanation:

Given functions:

\(\begin{cases}f(x)=3x-7\\g(x)=13x-2\\h(x)=6x\end{cases}\)

\(h(h(g(x)))\) is a composite function.  

Composite functions are when the output of one function is used as the input of another.

Therefore, the given composite function means to substitute the function g(x) in place of the x in function h(x), then substitute this in place of the x in function h(x).

Step 1

Substitute the function g(x) in place of the x in function h(x):

\(\begin{aligned}h(x) & = 6x\\\implies h(g(x)) & =6(g(x))\\& = 6(13x-2)\\ & = 78x-12\\\end{aligned}\)

Step 2

Now substitute the above in place of the x in function h(x):

\(\begin{aligned}h(x) & = 6x\\\implies h \left(h(g(x))\right) & =6(h(g(x)))\\& = 6(78x-12)\\& = 468x-72\end{aligned}\)

Therefore, the statement is true.

To carry out the composite function in one step:

\(\begin{aligned}h(x) &=6x\\\implies h(h(g(x))) & = 6\:(h(g(x)))\\& = 6(6(g(x)))\\& = 6( 6(13x-2))\\& = 6(78x-12)\\& = 468x-72\end{aligned}\)

Answer:

True

Step-by-step explanation:

Given data

Diameter =6 yards

Radius R= Diameter/2= 6/2  = 3 yards

R²=3*3=9square yards

Hence R^2 = 9square yards= True

Answer:

True.

Step-by-step explanation:

R² is radius to the second power. You were given the diameter, so the radius will be half of that diameter.

3 to the second power, (or 3 x3), is 9.

a) The value of g(2) = -1/4 and the value of g(-2) = π/2 - 3/2

b) The value of g'(x) = 2 The value of g''(x) =1

c) g has neither a relative maximum nor a relative minimum at x= 1

d) the graph of g has a point of inflection at each of x=-2 ,  x=0 and x = 1 because g''(x) = f'(x) changes at each of these values.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

There are several types of functions in maths. Some important types are:

Injective function or One-to-one function: When there is mapping for a range for each domain between two sets.

Surjective functions or Onto function: When there is more than one element mapped from domain to range.

Polynomial function: The function which consists of polynomials.

Inverse Functions: The function which can invert another function.

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The true statements are:

There are 56 fluid ounces of milk left.

There is more than 1 / 4 gallon of milk left.

What are the true statements?

The first step is to convert gallons to cups.

1 cup = 16 gallons

Then, convert quarts to cups

1 quart = 4 cups

1 1/2 x 4

3/2 x 4 = 6 cups

Total cups left = 16 - 6 - 3 = 7 cups

1 cup = 8 ounces

Total milk left in ounces: 8 x 7 = 56 ounces

1 cup = 1/16 gallons

Total milk left in gallons: 1 / 16 x 7 = 7/16  gallons

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The ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

If two solids that are similar to each other, have volumes A and B respectively, and have a scale factor of a:b, thus, the ratio of their volumes would be expressed as:

Volume of solid A/Volume of solid B = a³/b³

or

Volume of solid A : Volume of solid B = a³ : b³

Thus, the given similar solids have a scale factor of 5:3, therefore, the ratio of their volumes would be expressed as shown below:

5³ : 3³

125 : 27

Thus, the ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

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Answer:

Its D

Step-by-step explanation:

Answer:

I think the starting point is in quadrant Q, and the finishing point is in quadrant S. I don't really understand part B, sorry...

Using the correct measure of center, the team that typically has the tallest players is C. The Champs, with a mean of about 66.4 inches.

The three typical measures of center are the mean, the median, and the mode.

The mean is the average value, obtained as the quotient of the total value of the data set divided by the number of items.

The median is the middle value of the data set arranged in descending or ascending order.

The mode refers to the value that occurs most in the data set.

66 66 66 = 198

63 63 63 = 189

65 65 65 = 195

64 64 64 = 192

58 58 58 = 174

Total =      948

Mean = 63.2 (948 ÷ 15)

Median = 64 (58, 58, 58, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, 66)

62 69 65 = 196

68 60 70 = 198

70 58 67 = 195

66 75 70 = 211

69 67 60 = 196

Total = 996

Mean = 66.4 (996 ÷ 15)

Median = 67 (58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75)

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A geometric series is one in which there is a constant between two successive numbers in the series.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

Suppose the series is given as

2,4,8,16,32,64.........

The common difference is defined as the ratio of the next term to the previous term.

From the above series, the common ratio is calculated as,

Common ratio = 4 / 2

Common ratio = 2

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Answer:

\(49\frac{3}{5}\)

Step-by-step explanation:

Answer:

49 3/5

Step-by-step explanation:

First, convert 12 2/5 into an improper fraction. You should get 62/5. We know that dividing fractions is the same thing as multiplying by the other fraction's reciprical (flip). So, 62/5 divided by 1/4 is the same thing as 62/5*4/1 (4). Lastly multiply straight across to get 248/5. Simplify to get 49 3/5.

Hope this helps

Answer:

I don't know what to do with it but I don't

Step-by-step explanation:

hahahaha

Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

The solutions to the given equation by virtue of the quadratic formula is; Choice B; x = 1 and x = 3/2.

It follows from the task content that the solutions to the given task content be determined by the quadratic formula.

Since the equation can be rewritten in the form;

2x² - 5x + 3 = 0.

Recall the quadratic formula is;

x = { -b ± √(b² - 4ac) } / 2a

where; a = 2, b = -5 and c = 3.

Therefore, the values of x can be evaluated as follows;

x = { -(-5) ± √((-5)² - (4 × 3 × 2) } / 2(2)

x = { 5 ± √1 } / 4

x = (5 + 1) / 4. OR. x = (5 - 1) / 4

x = 3/2. OR. x = 1.

Therefore, the solutions of the equation are; Choice B; x = 1 and x = 3/2.

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Mikey had two mice that were about the same age and weight. Mikey fed each of the two mice a different feed for a month. The line of mouse 2 must be greater than line of mouse 1 in the graph.

Based on your description, it sounds like the weight of mouse 2 increased at a faster rate than mouse 1 over the course of the month. This could be shown on a graph as two lines, one representing the weight of mouse 1 and the other representing the weight of mouse 2.

The line for mouse 2 would be higher, indicating that its weight increased more than that of mouse 1. The x-axis would represent time (in days), and the y-axis would represent weight. The complete graph is attached.

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Answer:

y

Step-by-step explanation:

Step-by-step explanation:

f(x) = x² - 4

g(x) = 7 - x

= (fog)(2)

= x² - 4

= (7 - x)² - 4

= (7 - 2)² - 4

= 5² - 4

= 25 - 4

= 21

(fog)(2) = 21

Answer:

Freeze thaw cycle

Step-by-step explanation:

The force which produce avalanches and landslides is gravity.

The process by which the Earth's surface is worn down is called erosion. Erosion and weathering are two distinct but related processes. The decomposition of materials through chemical or physical processes is known as weathering. When weathered materials like soil and rock fragments are carried away by wind, water, or ice, erosion occurs.

The Earth's three substances—air, water, and ice—continue to flow in large quantities from one location to another, making erosion an essential component of human life. The energy in their flow is extremely high. All of the small and large substances in their path break and move in the flow's direction.

The most dramatic, unexpected, and hazardous examples of earth elements being pushed by gravity are landslides and avalanches. Avalanches are abrupt snowfalls, whereas landslides are sudden rockfalls.

Massive chunks of rock move swiftly and violently when they abruptly break free from a cliff or hillside. The falling rocks are kept from slowing down by air that is trapped beneath them. Avalanches and landslides can travel at speeds of 200 to 300 km/h.

Prevention's,

Be mindful of your surroundings and keep an eye out for changes in the environment.

When it rains heavily, keep an eye out for deck or patio tilting, cracks or bulges in slopes, and drooping posts or fences. As soil steadily presses against a house and shifts windows and doors out of place, sticking windows and doors can be an indication of earth movement.

Because landslides are more likely to occur where they have already happened, look for landslide scars.

Hence,  Earth materials are transported by gravity from higher elevations to lower heights. Examples of hazardous gravity-driven erosion include mudflows, avalanches, and landslides.

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Answer:

a

Step-by-step explanation:

just did it

Answer:the 2nd one is the answer it's easy I just did it :

To prove that △DFE ~ △GFH by SAS similarity theorem, then option C. ∠DFE is congruent to ∠GFH is appropriate. So that: \(\dfrac{DF}{GF}\) =\(\dfrac{EF}{HF}\)  and ∠DFE is congruent to ∠GFH.The correct answer is option C.

The image of the triangle is attached with the answer below:-

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

Given ΔDEF as shown in the diagram attached to this answer, the following can be observed:

By comparing ΔDEF and ΔGFH

DF = DG + GF

    = 12 + 4

DF = 16

Also,

EF = EH + HF

   = 9 + 3

EF = 12

Comparing the sides of ΔDEF and ΔGFH, we have;

\(\dfrac{DF}{GF}\) = \(\dfrac{EF}{HF}\)  

\(\dfrac{16}{4}=\dfrac{12}{3}\)

4 = 4

Thus, the two triangles have similar sides.

Comparing the included angle <DFE and <GFH, then;

∠DFE is congruent to ∠GFH

Therefore, to prove that △DFE ~ △GFH by the SAS similarity theorem;

\(\dfrac{DF}{GF}\) =\(\dfrac{EF}{HF}\)    and ∠DFE is congruent to ∠GFH.

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Answer:

C

Step-by-step explanation:

Edg

Answer:

b

Step-by-step explanation:

Answer:

The answer is B. 0.5 inches.

Answer:

fun

Step-by-step explanation:

ask cedric diggory

Answer:

it when you jump off of a car

Step-by-step explanation:

Answer:

The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the

Answer:

3/10

Step-by-step explanation:

Take the number of pizzas and divide by the number of people

3 pizzas / 10 people

Each person got 3/10 of a pizza

Answer:

\( \frac{3}{10} \)

Step-by-step explanation:

\( \frac{pizza}{number \: \: of \: \: \: people} \\ \frac{3}{10} \)

Each person received 3/10 of pizza