The measure of each arc in the circle is given by: 360 degrees / n
where n= number of spokes
If the spokes on a bicycle wheel divide the wheel into congruent sections, then each section is an equal angle at the center of the circle. Since there are "n" spokes on the wheel, the circle will be divided into "n" congruent sections.
Therefore, the measure of each arc in the circle is given by:
= 360 degrees / n
For example, if there are 18 spokes on the wheel, then each arc will have a measure of:
360 degrees / 18 = 20 degrees
So each arc would measure 20 degrees.
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which function is shown in the graph below
Answer: y=log 3 x
Step-by-step explanation:
I NEED HELP ON THIS ASAP!!! IT'S DUE TONIGHT
Answer:
First Problem:
Transformation: Reflection across the x-axis, shift 2 units rightward
Equation: g(x)=-5^(x-2)
Second Problem:
Transformation: Reflection across the y-axis, shift 4 units upward
Equation: 10^-x+4
Step-by-step explanation:
Imagine folding a piece of paper and using the x or y axis as the crease marks. By folding them and comparing them, we can find out whether it is either the x-axis, y-axis, or both-axis. Then, we move the graph, to match the position in the second picture.
As for equations, exponential functions have the parent function of y=b^(x+c)+h. By plugging in any points given, let's say (1,5), we can see that 5=b^1 and simplifying shows 5=b. Therefore, the function is y=5^x. Using that first equation, we transform it. If over the x-axis, convert y=b^x to y=-b^x. If over the y-axis, convert y=b^x to y=b^-x. For horizontal shift, if going rightward, it is x-c. If going leftward, it is x+c. For vertical shift, if going up, b^x+h. If going down, b^x-h.
If unsure, plug-in points to see if your answer checks out with the equation :)
A crane is being set up on a slope of. If the base of the crane is. 0 ft wide, how many inches should the downhill side of the base be raised in order to level the crane?
The downhill side of the crane base should be raised by approximately 4.53 inches to level the crane on a 2.5° slope.
We can use trigonometry here. Let x be the length (in inches) that the downhill side of the base should be raised. The slope of the ground is given to be 2.5°,
tan(2.5°) ≈ 0.0436
Now, using the equation,
x / 12 = 9tan(2.5°)
Here, we converted the base's width from feet to inches (by dividing by 12) and calculated the crane's required vertical displacement (inches) using the angle's tangent. When we simplify this equation, we obtain,
x = 9tan(2.5°)12
x ≈ 4.53 inches
Therefore, the downhill side of the base should be raised by about 4.53 inches to level the crane.
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Complete question - A crane is being set up on a slope of 2.5 degrees. If the base of the crane is 9.0 ft wide, how many inches should the downhill side of the base be raised in order to level the crane?
3.
Noah is playing a game where he must spin two wheels, each with 9 equal slices. There are 3 red slices, 3 green slices, 2 blue slices and 1 yellow slice on each wheel. If Noah spins and lands on a yellow slice on both wheels he wins, but if he lands on any other color, he loses. This information was used to create the following area model.
Is this a fair game? Why or why not?
No, the game is not fair because Noah does not have equal probabilities of winning or losing.
No, the game is not fair because Noah has equal probabilities of winning or losing.
Yes, the game is fair because Noah has equal probabilities of winning or losing.
Yes, the game is fair because Noah does not have equal probabilities of winning or losing
The answer to whether it is this a fair game is: No, the game is not fair because Noah does not have equal probabilities of winning or losing. Therefore, the correct option is 1.
The reason why it is not a fair game is as follows.
There are 9 slices on each wheel, so the total possible outcomes when spinning both wheels are 9 x 9 = 81.To win, Noah needs to land on a yellow slice on both wheels. There's only 1 yellow slice on each wheel, so the probability of this happening is 1/9 (for the first wheel) multiplied by 1/9 (for the second wheel), which is 1/81.The probability of losing is the opposite, meaning he doesn't land on a yellow slice on either wheel. The probability of not landing on a yellow slice on one wheel is 8/9. So, the probability of losing is 8/9 (for the first wheel) multiplied by 8/9 (for the second wheel), which is 64/81.Since the probabilities of winning and losing are not equal (1/81 vs 64/81), the game is not fair. Therefore, the correct answer is option 1.
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If there were eight equal pieces and seven of them were gone how many would there be in angle measurement
If there were eight equal pieces and seven of them were gone, there would be 45 degrees in angle measurement.
When the circle is divided into eight equal pieces, each piece has an angle of 360°/8 = 45°. If seven of these pieces are gone, only one piece is remaining, which is equivalent to 45 degrees in angle measurement. Therefore, the answer is 45 degrees.
Alternatively, we can use the formula for finding the angle of a sector of a circle. The formula is given as Angle = (θ/360) x 2πr, where θ is the central angle in degrees, and r is the radius of the circle. In this case, the radius of the circle is not given, but we know that there were eight equal pieces initially.
Therefore, the central angle for one piece is 360°/8 = 45°. So, the angle of the remaining piece is (45/360) x 2πr = (1/8) x 2πr = π/4 radians or 45 degrees.
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At the Fisher farm, the weights of zucchini squash are Normally distributed. Which standardized weight represents the top 10% of the zucchinis?
Find the z-table here.
–1. 64
–1. 28
1. 28
1. 64
The standardized weight which represents the top 10% of the zucchinis from the z-score for the fisher farm the weights of zucchini squash are Normally distributed is 1.28.
Standardized normal distribution = Z given by ,
Z = (X - μ)/σ
Here, X is sample, is μ mean and is σ standard deviation.
At the Fisher farm, the weights of zucchini squash are Normally distributed.
For the normal distribution,
The value mean be 0 and standard deviation be 1.
Z = (X - μ)/σ
μ = 0 , σ = 1
Z = (X -0)/1
Z = X
For the top 10% of the zucchinis, the value of α is 0.9. From the table for this value the z score is,
Z = X
Z = 1.28
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okay ummm deleted question
Answer:
Sure, let me know if you have a new question or need any assistance!
The domain in a set of ordered pairs is always the y-coordinate.
True or False
Answer: False
Step-by-step explanation: It is false because the y-coordinate is the range.
Use the Evaluation Theorem to compute the following definite integrals: (a) e^3 - e (b) 0 (c) 295/6
To use the Evaluation Theorem to compute the definite integrals, follow these steps:
Step 1: Identify the function and the interval
In this case, we have three separate integrals to evaluate:
(a) ∫(e^3 - e) dx
(b) ∫0 dx
(c) ∫295/6 dx
Step 2: Find the antiderivative of the function
(a) The antiderivative of (e^3 - e) is (e^3x/3 - ex) + C.
(b) The antiderivative of 0 is simply C, where C is the constant of integration.
(c) The antiderivative of 295/6 is (295/6)x + C.
Step 3: Evaluate the antiderivative at the given interval
(a) Since no specific interval is given, we cannot evaluate the integral using the Evaluation Theorem.
(b) Since no specific interval is given, we cannot evaluate the integral using the Evaluation Theorem.
(c) Since no specific interval is given, we cannot evaluate the integral using the Evaluation Theorem.
What are definite Intregal's: Definite integral is the area under a curve between two fixed limits.we can say that the definite integral that represents the area of the surface generated by revolving the curve on the indicated interval about the x-axis. Unfortunately, without specific intervals, we cannot use the Evaluation Theorem to compute the definite integrals. Please provide the intervals for each integral, and we can help you compute them.
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Fries 420 grams = $2.77
How much if its 1kg?
In ΔGHI, h = 9. 6 cm, g = 9. 3 cm and ∠G=109°. Find all possible values of ∠H, to the nearest 10th of a degree
Using the Law of Sines and Cosines, we get all possible values of ∠H are approximately 60.6° and 69.0°.
We can use the Law of Cosines to find the length of side GH
GH² = g² + h² - 2gh cos(G)
GH² = (9.3)² + (9.6)² - 2(9.3)(9.6)cos(109°)
GH ≈ 3.585 cm
Next, we can use the Law of Sines to find the measure of angle H
sin(H)/GH = sin(G)/HI
sin(H)/3.585 = sin(109°)/HI
sin(H) ≈ 3.585(sin 109°)/HI
H ≈ arcsin[3.585(sin 109°)/HI]
Since we do not know the length of side HI, we cannot determine the exact value of angle H. However, we can find the possible range of angle H by assuming that HI is the longest side of the triangle (making angle H the smallest) and the shortest side of the triangle (making angle H the largest).
If HI is the longest side, then H ≈ arcsin[3.585(sin 109°)/9.3] ≈ 60.6°
If HI is the shortest side, then H ≈ arcsin[3.585(sin 109°)/9.6] ≈ 69.0°
Therefore, the possible values of angle H are between approximately 60.6° and 69.0°.
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Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
The surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
What exactly is a triangular prism?
When a prism has three rectangular sides and two triangular bases, the prism is said to be triangular. It's a pentahedron. A right triangular prism has two faces and three rectangular sides. Bases refers to the triangle faces, whereas laterals refers to the rectangular sides.
We have a triangular prism, is showing in the picture:
Here a = 25
b = 25
c = 14
h = 44
The surface area of the triangular prism is given by
A = ah + bh + ch + 1/2√-a⁴ + 2(ab)² + 2(ac)² + -b⁴ + 2(bc)² - c⁴
Plug all the values in the formula we get:
A = 3152 square cm
Thus, the surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
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Reema bought pencils for school in August. She gave
now had 3 pencils left.
。 of them to her friends. She used
of what she had left the first month of school. She
How many pencils did she buy in August?
O A 48
O B. 36
O c. 24
OD. 12
O E. 6
By simplification Reema bought 5 boxes of pencils, which is a total of 60 pencils, in August.
Let x be the number of pencils Reema bought in August. According to the problem, she gave away 1/4 of the pencils, which means she kept 3/4 of the pencils. Then, she used 2/3 of what she had left, which means she used:
(2/3)(3/4)x = (1/2)x
So, if she used half of what she had left, she must have started with twice as many pencils. Therefore:
2x = total number of pencils she started with
And we know that she ended up with 3 pencils left, so:
2x - (1/4)(2x) - (1/2)x = 3
Simplifying this equation, we get:
(7/4)x = 3 + (1/2)x
Multiplying both sides by 4/7, we get:
x = (12/7)(3) = 36/7
Since Reema cannot buy a fractional number of pencils, we need to round up to the nearest whole number. Therefore, Reema bought 5 boxes of pencils, or a total of 60 pencils, in August.
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Solve for x.
Round to the nearest tenth.
The measure of the angle x in the circle is 65 degrees
Solving for x in the circleFrom the question, we have the following parameters that can be used in our computation:
The circle
On the circle, we have the angle at the vertex of the triangle to be
Angle = 100/2
Angle = 50
The sum of angles in a triangle is 180
So, we have
x + x + 50 = 180
Evaluate the like terms,
2x = 130
So, we have
x = 65
Hence, the angle is 65 degrees
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a rectangular prism’s base has an area of 80 square inches and a width of 18 square inches. What is the prism’s height?
The height of the rectangular prism is 4.4 inches
How to determine the areaThe formula for calculating the area of a rectangular prism is expressed with the equation;
A = wh
Such that the parameters of the formula are given as;
A is the area of the rectangular prismw is the width of the rectangular prismh is the height of the rectangular prismFrom the information given, we have that;
Area of the prism = 80 square inches
width of the rectangular prism = 18 square
Now, substitute the value, we have
80 = 18h
Divide both sides by the coefficient of the variable h, we have;
h = 80/18
divide the values
h = 4. 4 inches
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The function R = 73. 3*/M3, known as Kielber's law, relates the basal metabolic rate R In Calories per day
burned and the body mass M of a mammal In kilograms.
a. Find the basal metabolic rate for a 180 kilogram lion. Then find the formula's prediction for a 80
kilogram human. If necessary round down to the nearest 50 Calories.
b. Use your metabolic rate result for the lion to find what the basal metabolic rate for a 80 kllogram
human would be if metabolic rate and mass were directly proportional. Compare the result to the result
from part a.
a. Kleiber's law for lion
Calories
Kleiber's law for humans
Calories
b. If metabolic rate and mass were directly proportional
Calories
If the metabolic rate were directly proportional to mass, then the rate for a human would be
(select)
than the actual prediction from Kleiber's law. Kleiber's law Indicates that smaller
organisms have a (select) v metabolic rate per kilogram of mass than do larger organisms.
The basal metabolic rate for a 180-kilogram lion is approximately 766.4 Calories per day.
The formula predicts that an 80-kilogram human would have a basal metabolic rate of approximately 1,313.9 Calories per day.
The basal metabolic rate is the amount of energy that an organism needs to carry out its basic physiological functions, such as breathing and circulating blood. In this case, Kielber's law is expressed as:
R = 73 [tex]\sqrt[4]{M^3}[/tex]
Let's use this function to find the basal metabolic rate for a 180-kilogram lion. To do this, we simply substitute M = 180 into the equation and solve for R:
R = 73 [tex]\sqrt[4]{180^3}[/tex]
R = 73 [tex]\sqrt[4]{5832}[/tex]
R ≈ 766.4
Now, let's find the formula's prediction for an 80-kilogram human. Again, we simply substitute M = 80 into the equation and solve for R:
R = 73[tex]\sqrt[4]{80^3}[/tex]
R = 73[tex]\sqrt[4]{512}[/tex]
R ≈ 1,313.9
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Complete Question:
The function R = 73 [tex]\sqrt[4]{M^3}[/tex], known as Kielber's law, relates the basal metabolic rate R In Calories per day burned and the body mass M of a mammal In kilograms.
Find the basal metabolic rate for a 180-kilogram lion. Then find the formula's prediction for an 80-kilogram human. If necessary round down to the nearest 50 Calories.
The relative frequency table describes the relationship between students who completed an exam review and their performance on the exam. Passed exam Did not pass exam Row Totals Completed exam review 55% 10% 65% Did not complete exam review 20% 15% 35% Column Totals 75% 25% 100% Part A: What is the percentage of students who passed the exam, given that they completed the exam review? Round to the nearest percentage. (2 points) Part B: What is the percentage of students who passed the exam, given that they did not complete the exam review? Round to the nearest percentage. (2 points) Part C: Is there an association between passing the exam and completing the exam review? Justify your answer. (2 points
The values on the relative frequency table indicates;
Part A; 55%
Part B; 20%
Part C; There is an association between passing the exam and completing the exam review
What is a relative frequency table?The relative frequency table shows the mode of a dataset, from the sample obtained from a population.
The data in the table can be expressed as follows;
[tex]{}[/tex] Passed exam Did not pass exam Row totals
Completed exam review [tex]{}[/tex] 55% 10% 65%
Did not completed exam review[tex]{}[/tex] 20% 15% 35%
Column Total [tex]{}[/tex] 75% 25% 100%
Part A; The above table indicates that the percentage who passed the exam given that they completed the exam review is 55%
Part B; The percentage that passed the exam given that they did not complete exam review is 20%
Part C; The conditional percentages of passing the exam and completing the exam review are very different indicating that there is an association between passing the exam and completing exam review
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A normal distribution curve, where x = 70 and o = 15,
was created by a teacher using her students' grades.
What information about their performances can be obtained by analyzing the curve?
The normal distribution curve gives useful information regarding the distribution of students' grades, such as the average grade, the dispersion of grades, the likelihood of receiving a specific grade, and the presence of any outliers.
Obtainable Information's from the Distribution Curve?The normal distribution curve generated by the educator offers multiple insights into the distribution of academic achievement among her pupils. The analysis of the curve yields various informative data such as:
The parameter of central tendency for this distribution is represented by the mean, denoted as x=70, signifying that the students' mean grade is at 70.The normal distribution's degree of dispersion is represented by the standard deviation, denoted by o=15 in this context, conveying the extent of variability among grades. In this particular instance, the presence of a higher standard deviation denotes a greater degree of variability in the distribution of grades from the central tendency.Probability theory allows for the utilization of the normal distribution curve to determine the likelihood of a student achieving a particular grade. An illustration of this notion can be depicted by estimating the likelihood of an individual receiving a marks within the range of 55 and 85 through the computation of the region beneath the curve that occupies those particular values.The utilization of the normal distribution in statistical analysis is instrumental in recognizing any possible outliers within the dataset. An outlier refers to a data point that deviates considerably from the rest of the data. In the present scenario, grades whose values extend beyond two standard deviations from the mean, calculated as 70 + 215 = 100 or 70 - 215 = 40, may be considered as outliers.Learn more about distribution curve here: https://brainly.com/question/23418254
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Quadrilateral abcd is inscribed in this circle.
find the measure of angle a and angle b if
m&c = 121-and m&d=93°
а
d
b.
121°
с
The measure of angle a is 59 degrees and the measure of angle b is 87 degrees. Based on the information given, we know that angles a and b are opposite angles of the quadrilateral abcd,
So they are supplementary (their sum is 180 degrees).
We also know that angles c and d are opposite angles of the quadrilateral abcd, and they are given in the problem. Using the fact that angles on the same side of a chord are equal, we can say that angles a and d are equal, and angles b and c are equal.
Therefore, we can set up the following equation:
a + d = 180 (because they are supplementary)
d = 121
a = d (because they are opposite angles of the quadrilateral)
b = c (because they are opposite angles of the quadrilateral)
c + d = 180 (because they are supplementary)
c = 93
Substituting the known values, we get:
a + 121 = 180
a = 59
b + 93 = 180
b = 87
Therefore, the measure of angle a is 59 degrees and the measure of angle b is 87 degrees.
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Help ASAP i need explanation and answer and ill give brainliest to the first person who answers
The value of x is 7. The value of y in the right triangle is 16.5. The value of z in the given figure is 49.
What are diagonals?A quadrilateral is a polygon with four sides. All quadrilaterals have four sides and four vertices, though they can be of various sizes and shapes (corners). Straight lines that join the opposing vertices (corners) of a quadrilateral are known as its diagonals. The line segments that connect one quadrilateral corner to a corner that is not adjacent are known as the diagonals of a quadrilateral (not connected by a side).
The opposite sides of the kite are equal thus, we have:
3x + 2 = 5x - 12
14 = 2x
x = 7
The length of the side MJ is:
3(7) + 2 = 23
Now, the triangle MNJ is a right triangle thus using Pythagoras Theorem we have:
h² = a² + b²
23² = 16² + y²
529 = 256 + y²
273 = y²
y ≈ 16.5
Now, diagonals of kite are perpendicular thus,
2z - 8 = 90
2z = 98
z = 49
Hence, the value of z in the given figure is 49.
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Please help me im struggling sm
The measurements are x = 7 and ∠NJK = 51°
Given is a rectangle, we need to find the asked measurement,
So,
Since we know that the diagonals of a rectangle bisect each other,
So,
JN + JN = JL
4x+4+4x+4 = 5x+29
8x+8 = 5x+29
3x = 21
x = 7
And,
The vertex angle is 90° so,
∠NMJ + ∠NML = 90°
∠NML = 51°
Also,
∠NML = ∠NJK because they are alternate angles,
So, ∠NJK = 51°
Hence x = 7 and ∠NJK = 51°
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Need help with this question
Answer:
11
Step-by-step explanation:
23-12=11
please help!
Given YZ tangent to ⊙J at point Y and m∠WYZ = 104, what is mWXY?
The measure of the angle WXY is 152 degrees
Calculating the measure of the angle WXY?From the question, we have the following parameters that can be used in our computation:
Line segment YZ tangent to J at point Y The measure of m∠WYZ = 104,Using the above as a guide, we have the following:
m∠MYW = 104 - 90
m∠MYW = 14
The inscribed angle opposite to the same arc is half of the external angle
So, we have
mw = 2 * m∠MYW
mw = 2 * 14
mw = 28 degrees
Also, we have
my = 180 degrees
So, we have
Angle WXY = 180 - 28
Evaluate the difference
Angle WXY = 152
Hence, the measure of the angle is 152 degrees
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Which is a solution to 2n = 16?
Answer:
3
Step-by-step explanation:
2x2=4
4x2=8
8x2=16
For the week, Castle Manufacturing has a beginning cash balance of 100,000. They spend 99,000 on direct materials, 19,000 on direct labor, and 29,000 on manufacturing overhead. They also have cash sales of 10,000, accounts receivable collections of 220,000 and asset sales of 30,000. They also purchased assets in the amount of 20,000 and had sales commissions and other administrative expenses in the amount of 40,000. What was Castle Manufacturing cash balance at the end of the week?
Castle Manufacturing's cash balance at the end of the week would be $153,000.
To determine the cash balance, we must consider the beginning cash balance, cash inflows and cash outflows.
Beginning cash balance: $100,000
Cash inflows:
- Cash sales: $10,000
- Accounts receivable collections: $220,000
- Asset sales: $30,000
Total cash inflows: $260,000
Cash outflows:
- Direct materials: $99,000
- Direct labor: $19,000
- Manufacturing overhead: $29,000
- Purchase of assets: $20,000
- Sales commissions and administrative expenses: $40,000
Total cash outflows: $207,000
Ending cash balance: Beginning cash balance + Total cash inflows - Total cash outflows
= $100,000 + $260,000 - $207,000
= $153,000
Therefore, Castle Manufacturing's cash balance at the end of the week would be $153,000.
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Full Boat Manufacturing has projected sales of $115. 5 million next year. Costs are expected to be $67. 4 million and net investment is expected to be $12. 3 million. Each of these values is expected to grow at 9 percent the following year, with the growth rate declining by 1 percent per year until the growth rate reaches 5 percent, where it is expected to remain indefinitely. There are 4. 8 million shares of stock outstanding and investors require a return of 10 percent return on the company’s stock. The corporate tax rate is 21 percent
Based on the given information, the estimated current stock price for Full Boat Manufacturing is $13.11. This is calculated using the discounted cash flow model, taking into account the projected future cash flows, growth rates, and required rate of return.
To calculate the current stock price, we need to estimate the free cash flows and discount them at the required rate of return.
First, we calculate the free cash flow to the firm (FCFF) for next year as follows
FCFF = Sales - Costs - Net Investment*(1-t)
= $115 million - $67 million - $12 million*(1-0.21)
= $31.02 million
Next, we calculate the expected growth rate in FCFF using the formula:
g = (FCFF Year 2 / FCFF Year 1) - 1
where FCFF Year 2 = FCFF Year 1 * (1 + g)
Using the given information, we get
g = (FCFF Year 2 / FCFF Year 1) - 1
= (FCFF Year 1 * (1 + 0.14) * (1 - 0.02) / FCFF Year 1) - 1
= 0.12
We can now use the Gordon growth model to estimate the current stock price
Current stock price = FCFF Year 1 * (1 + g) / (r - g)
where r is the required rate of return.
Substituting the values, we get
Current stock price = $31.02 million * (1 + 0.12) / (0.13 - 0.12)
= $72.13 million
Finally, we divide the current stock price by the number of shares outstanding to get the estimate of the current stock price per share:
Current stock price per share = $72.13 million / 5.5 million
= $13.11 per share
Therefore, the estimate of the current stock price is $13.11 per share.
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--The given question is incomplete, the complete question is given
" Full Boat Manufacturing has projected sales of $115 million next year. Costs are expected to be $67 million and net investment is expected to be $12 million. Each of these values is expected to grow at 14 percent the following year, with the growth rate declining by 2 percent per year until the growth rate reaches 6 percent, where it is expected to remain indefinitely. There are 5.5million shares of stock outstanding and investors require a return of 13 percent on the company’s stock. The corporate tax rate is 21 percent.
What is your estimate of the current stock price?
Suppose a 4 is rolled on a number cube with sides numbered 1, 2, 3, 4, 5, and 6. The
complement of this event would be rolling a 1, 2, 3, 5, or 6. What is the probability of the
complement, written as a fraction in simplest form?
The probability of rolling any number other than 4 on a number cube with sides numbered 1, 2, 3, 4, 5, and 6 is 5/6, which can be written as a fraction in simplest form.
The complement of rolling a 4 on a number cube with sides numbered 1, 2, 3, 4, 5, and 6 is rolling any number other than 4, which includes rolling a 1, 2, 3, 5, or 6.
To find the probability of the complement, we need to add up the probabilities of rolling each of these numbers.
Since each number has an equal chance of being rolled, we can find the probability of rolling each number by dividing 1 by the total number of possible outcomes (which is 6, since there are six sides on the cube).
Then, we can add up the probabilities of rolling each of the five numbers in the complement:
P(rolling a 1, 2, 3, 5, or 6) = P(rolling a 1) + P(rolling a 2) + P(rolling a 3) + P(rolling a 5) + P(rolling a 6)
P(rolling any number other than 4) = 1 - P(rolling a 4)
P(rolling any number other than 4) = 1 - 1/6 = 5/6
Therefore, the probability of rolling any number other than 4 on a number cube with sides numbered 1, 2, 3, 4, 5, and 6 is 5/6, which can be written as a fraction in simplest form.
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MAKRING BRAINLIST ^_^
"Twisted till" and "claw curled" are example of what poetic device
1) Repetition
2) Alilteration
3) Ryhme
4) Onomatopoeia
Author repeats "hands folded in as if he wished for something" because it
1) Encourages the readers to save a creature
2) Exaggerates the praying mantis's movement
3) Compares the author to the praying mantis
4) Makes the praying mantis seem more human
"Twisted till" and "claw curled" are examples of alliteration, which is a poetic device that involves the repetition of consonant sounds at the beginning of words.
The author repeats "hands folded in as if he wished for something" to exaggerate the praying mantis's movement and make it seem more human.
This repetition is a literary technique used to emphasize the mantis's behavior and draw the reader's attention to it.
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A cable hangs between two poles 12 yards apart. The cable forms a catenary that can be modeled
by the equation y = 12 cosh(x/12) - 5 between x =- 6 and x = 6. Find the area under the
12 catenary.
Round your answer to four decimal places.
The area under the catenary between the two poles is approximately 51.3224 square yards.
To find the area under the catenary between two poles 12 yards apart, with the equation y = 12cosh(x/12) - 5 between x = -6 and x = 6.
We can find the area by using integration.
The equation for the catenary.
y = 12cosh(x/12) - 5
Set up the integral to find the area under the curve between x = -6 and x = 6.
Area = ∫ (-6 to 6)[12cosh(x/12) - 5]dx
Integrate the function with respect to x.
Since we are dealing with the hyperbolic cosine function, we know that the integral of cosh(x/12) is 12sinh(x/12).
Therefore, the integral becomes:
Area = [12 (12sinh(x/12)) - 5x] evaluated from -6 to 6
Evaluate the integral at the bounds.
At x = 6: 12 (12sinh(6/12)) - 5(6) = 12 (12sinh(0.5)) - 30
At x = -6: 12 (12sinh(-6/12)) - 5(-6) = 12 (12sinh(-0.5)) + 30
Subtract the lower bound result from the upper bound result.
Area = [12(12sinh(0.5)) - 30] - [12(12sinh(-0.5)) + 30]
Calculate the numerical values and round to four decimal places.
Area = 51.3224
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If you chose an angle, how are the construction steps you completed similar to the steps you would have taken to construct and bisect a line segment? How are they different?
The construction steps for bisecting an angle are similar to those for bisecting a line segment as both involve using a compass and straightedge, but the former creates an angle with a specific degree measure while the latter divides a line segment into two equal parts.
The construction steps for constructing and bisecting an angle are similar to the steps for constructing and bisecting a line segment in that they both involve using a compass and straightedge to create geometric constructions.
However, the steps are different in that constructing and bisecting an angle involves creating an angle with a specific degree measure, whereas constructing and bisecting a line segment involves dividing a line segment into two equal parts.
To construct and bisect an angle, the compass is used to create congruent arcs on either side of the angle, and the straightedge is used to connect the intersections of those arcs to create the angle. To bisect a line segment, the compass is used to create arcs of equal length from the endpoints of the segment, and the straightedge is used to connect the intersection of those arcs to the midpoint of the segment.
So while both constructions involve the use of similar tools and techniques, the specific steps required for each are unique.
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