During a rainfall, the depth of water in a rain gauge increases 1.4658 cm.
What is a cosine function?Cosine is a trigonometric function, used in a right triangle to define the ratio of the side adjacent to and the hypotenuse of this triangle.
During a rainfall, the depth of water in a rain gauge increases at a rate modeled by:
[tex]R(t)=0.5+tcos(\frac{\pi t^3}{80})[/tex]
Where:
t is the time in hours since the start of the rainfall R(t) is measured in centimeters per hour.So, when t=0, the depth of water will be:
[tex]R(t)=0.5+tcos(\frac{\pi t^3}{80})\\R(0)=0.5+0cos(\frac{\pi 0^3}{80})\\R(0)=0.5 cm[/tex]
So, when t=3, the depth of water will be:
[tex]R(t)=0.5+tcos(\frac{\pi t^3}{80})\\R(3)=0.5+3cos(\frac{\pi 3^3}{80})\\R(3)=1.9658 cm[/tex]
So the difference will be:
[tex]R(3)-R(0)=1.4658 cm[/tex]
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What is x, the height of the cylinder? 21 units 24 units 25 units 28 units
B 24 unitsAnswer:
Explanation:
Answer:
24 units
Explanation:
yw
stocks x and y have the following data. assuming the stock market is efficient and the stocks are in equilibrium, which of the following statements is correct?
The correct statement is these two stocks must have the same dividend yield.
What is the dividend yield of the stock?Dividend yield of a stock is the dividend per share divided by the total market price of the stock.
Dividend yield = dividend per share / market price
Dividend per share = market value x (required return - expected growth)
Dividend per share for Stock X = $25 x (10% - 7%) = $0.75
Dividend per share for Stock Y = $40 x (12% - 9%) = $1.20
Dividend yield for Stock X = 0.75 / 25 = 0.03
Dividend yield for Stock Y = 1.20 / 40 = 0.03
Here is the complete question:
Stocks A and B have the following data. Assuming the stock market is efficient and the stocks are in equilibrium, which of the following statements is CORRECT? A B Required return 10% 12%Market price $25 $40Expected growth 7% 9%
A) These two stocks should have the same price.
B) These two stocks must have the same dividend yield.
C) These two stocks should have the same expected return.
D) These two stocks must have the same expected capital gains yield.
E) These two stocks must have the same expected year-end dividend.
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Bosio inc.'s perpetual preferred stock sells for $120.00 per share, and it pays an $8.50 annual dividend. if the company were to sell a new preferred issue, it would incur a flotation cost of 4.00% of the price paid by investors. what is the company's cost of preferred stock for use in calculating the wacc?
The value of WACC from the given information is about 7.4%.
What is WACC?WACC is defined as the weighted average cost of capital. It is the rate at which a firm is projected to pay all of its security holders on average to finance its assets.
The firm's cost of capital is frequently referred to as the WACC. It is important to note that the external market, not management, determines this.
The formula of WACC is:
[tex]\text{Weighted Average Cost of Capital (WACC)} = \dfrac{\text{Annual Dividend}}{\text{Sales price of Proffered Stock} - \text{Sales price} \times \text{FC}}[/tex]
According to the given information,
Annual Dividend = $8.50,
Sales price of Proffered Stock =$120.
Flotation Cost(FC) = 4%.
Now, putting the values in the formula of WACC,
[tex]\text{Weighted Average Cost of Capital (WACC)} = \dfrac{\text{Annual Dividend}}{\text{Sales price of Proffered Stock} - \text{Sales price} \times \text{FC}}\\\\\text{Weighted Average Cost of Capital (WACC)} =\dfrac{8.5}{\$120- (\$120 \times 4\%)}\\\\\text{Weighted Average Cost of Capital (WACC)} =0.074(Approx.)[/tex]
Then, the WACC in terms of percentage is 7.4%.
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Which of the following is NOT a character effect?
a.
Italic
b.
Times New Roman
c.
Bold
d.
Shadow
Please select the best answer from the choices provided
A
B
C
D
Answer:
B is not a character effect, it is a type of font.
Ray mn and ray ml are two sides of an angle. what is a name of this angle?
Answer: <NML
Explanation:
N is where the angle is starting while M and L are the lines that make up the Angle
Answer:
l
Explanation:
The bollywood film industry is an important part of the culture of theater and arts in __________. a. india b. china c. korea d. japan
Answer:
India
Explanation:
coz bollywood is mainly from india /
Answer:
india
Explanation:
I took the test
When a 60 hz sinusoidal signal voltage is applied to the input of a half-wave rectifier, the output frequency is
seven toxic habits that drain your energy prevention
The toxic habits that drain your energy prevention are;
Pleasing others so badAlways been too self-critical. Keeping anger and resentment in your heart.What are toxic habits?In any form of living or any relationship, there are some habits that are known to be harmful to a person and it is one that can drain one's energy and make one to have issues. They also include:
Over worrying or overthinking about things.Foolish use of the social media.Irregular sleep pattern.Eating junk food.Conclusively, getting rid of toxic habit will go a long way in improving your self and your relationship with others.
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Recall that in a 45 – 45 – 90 triangle, if the legs each measure x units, then the hypotenuse measures x units. (72π – 144) mm2 (72π – 72) mm2 (288π – 288) mm2 (288π – 144) mm2
The area of the shaded region is = (72π - 144) mm²
What is the area of a shaded region?The area of a shaded region is that enclosed part of a plane figure that is shaded.
Suppose;
A square is inscribed in a circle with a diameter of 12√2 millimeters. Everything outside of the square is shaded.Let's first find the area of the circle.
Area of circle = [tex]\mathbf{\pi r^2}[/tex]
Area of circle = [tex]\mathbf{\pi \times (\dfrac{12 \sqrt{2}}{2})^2}[/tex]
Area of circle = 72π sq mm
We know that the side of the inscribed square = [tex]\mathbf{\dfrac{12\sqrt{2}}{\sqrt{2}}}[/tex] = 12 mm
Area of the square = side(L)²
Area of the square = 12²
Area of the square = 144 sq mm
Now, the area of the shaded region can be estimated by finding the difference between the area of the square from that of the circle.
i.e.
The area of the shaded region is = (72π - 144) mm²
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Answer:
A
Explanation:
:)
In tintern abbey who accompanies the speaker in the poem
The person who accompanies the speaker in the poem titled Tintern Abbey is found to be; His Sister
Who is the companion of the speaker in the poem?
The full title of the poem was "Lines Composed a Few Miles Above Tintern Abbey," written by In William Wordsworth's .
In the poem, we see that the speaker is visiting a place he has seen once before. However, this time, he sees it in a different way and as such the speaker is now able to stop and appreciate the natural beauty right before his eyes.
Finally wee see that his companion is his sister because he said the following;
"For thou art with me here upon the banks
.......May I behold in thee what I was once,
My dear, dear Sister!"
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Name the two philippine theater groups that present original and adapted plays in filipino
Answer:
The two philippine theater groups that present original and adapted plays in filipino are as given below:-
Tanghalang AteneoTeatro TomasinoExplanation:
#hope it helped!
If you have a solution with a [h+] of 1.58x10-6 m, what is the ph of the same solution?
pH is the potential of the hydrogen ion concentration in an aqueous solution. The pH of the solution will be 5.801.
What is pH?pH is the measurement of the acidic and the basic characteristic of the solution by the hydrogen or the hydronium concentration.
The formula for pH is given as,
[tex]\rm pH = \rm - log [H^{+}][/tex]
Here, the concentration of the hydrogen in the solution is given as [tex]1.58 \times 10^{-6}\;\rm m.[/tex]
Substituting values in the above equation:
[tex]\begin{aligned} \rm pH &= \rm - log [H^{+}]\\\\&= \rm - log [1.58 \times 10^{-6}]\\\\&= 5.801\end{aligned}[/tex]
Therefore, 5.8 is the pH of the solution.
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Brainstorm a way to make a dangerous sport less dangerous
Read and choose the option with the irregular verb in the imperfect tense. comías con tu padrastro todos los días. ¿hablabas con tu padrastro todos los días? llamabas a tu padrastro todos los días. ¿veías a tu padrastro todos los días?
According to the context, the correct sentence with the irregular verb in the imperfect tense is ¿veías a tu padrastro todos los días?.
What is the imperfect tense?It refers to actions with a certain duration in the past or that were carried out simultaneously with other actions.
As with other verb tenses, there are rules for conjugating verbs in the imperfect tense in Spanish, where the ending of the verb will change depending on the subject of the sentence and the original ending in the infinitive.
However, the verb ''ver'' has an irregular verb conjugation and is pronominal, so it will not follow the regular verb conjugation rules.
Therefore, we can conclude that according to the context, the correct sentence with the irregular verb in the imperfect tense is ¿veías a tu padrastro todos los días?.
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Answer: ¿Veías a tu padrastro todos los días?
Explanation: ¿Veías a tu padrastro todos los días?
A trademark is a sign, symbol, name, or short phrase that indicates the of a product or service.
A trademark is a sign, symbol, name, or short phrase that indicates the source of a given product and/or service.
What is a trademark?A trademark refers to a sign, symbol, and/or specific character capable of distinguishing products or services.
The trademarks are fundamental for shaping identity in an enterprise and positioning different commercial products.
A trademark can be an effective manner to develop publicity to attract clients and thus generate utilities.
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Why does benvolio think that romeo should attend capulet's party
Answer:
Benvolio thinks that Romeo should go to the Capulet party, if only to see all of the beautiful girls. He should forget Rosaline and allow his eyes to wander freely. By giving liberty unto thine eyes.
Explanation:
D Romeo is a Montague, but Benvolio is a Capulet. THIS SET IS OFTEN IN FOLDERS WITH... An Introduction to Shakespeare and Romeo and Julie… An Introduction to Shakespeare and Romeo and Julie
A designer of soup cans wants to redesign the cans by enlarging the area of the base to three times the original size. The new can should hold the same amount of soup. How should the designer change the height of the can?
The designer should change the height of the can and maintain the same volume by doubling the area of the base of the can.
How to change the height of the canArea of a cylinder, V= πr²h
Where:
r= base radiush= height.Area of the base, A= πr²
So,
volume of the cylinder;
V= A×h
For instance,
if volume of a cylinder is 50cm³ and area of the base is 10cm²V= A*h
50 = 10 × h
50 = 10h
h = 50/10
h = 5cm
If the area of the base is doubled at a constant volume, that is A = 20cm², V = 50cm²V= A×h
50 = 20 × h
50 = 20h
h = 50/20
h = 2.5 cm
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Which best summarizes the central idea of the excerpt? nonstandard forms of english are only appropriate among family members. standard forms of english imply a lack of family values and closeness. nonstandard forms of english imply close relationships and family values. standard forms of english are not appropriate among family members.
Mother Tongue is an essay by Amy Tan is about the language barrier and judging society. Nonstandard forms of language point to intimate relationships.
What is the theme of Mother Tongue?Mother Tongue is an essay that describes the challenges faced by the parents who do not speak proper English or communicate in non-standard English. This leads to the development of language used by the speaker to communicate with her mother.
The non-standard English used in the household increases the bond and affection between the members and increases the non-traditional relationship between parents and children.
Therefore, option C. nonstandard English indicates a close relationship.
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Answer:
c
Explanation:
A lender estimates that the closing costs on a $165,000 home loan will be $6,187.50. the actual closing costs were 3.5% of the loan amount. determine if the closing costs were higher or lower than the estimate and by what percent? a. higher by 0.25% b. higher by 0.5% c. lower by 0.25% d. lower by 0.5% please select the best answer from the choices provided a b c d
Answer:
your answer will be c your welcome
What is the approximate length of the apothem? 0.4 cm 0.8 cm 1.5 cm 1.9 cm
Answer:
C.) 1.5 cm
Explanation:
i took the test on edge 2022
Which sentences describe points that miguel should consider in the goal-setting process before he starts to invest?
The sentences which describe points that miguel should consider in the goal-setting process before he starts to invest are;
Miguel should consider an estimate of returns he desires from the investment.He should consider whether to invest in stocks or bonds.Decide on the type of industry to invest in.What is investment?An investment refers to the desired amount of returns a person expects by investing an amount by of money.
The complete question:
Which sentences describe points that Miguel should consider in the goal-setting process before he starts to invest?
Miguel plans to start investing in a few months. His friends advise him to set some financial goals. First, Miguel arrives at an estimate of the total returns that he wants from his investments. He is also trying to decide whether to invest only in stocks or only in bonds. He makes up his mind about the type of industries he wants to invest in. Eventually, he wants to use this amount to repay part of a home loan that he plans to take.
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The ancient babylonians developed a method for calculating nonperfect squares by 1700 bce. complete the statements to demonstrate how to use this method to find the approximate value of .
Answer:
The general algebraic expression is used for evaluating the value of square root 5. The given value of and the value of are identical. So, the approximate value of will be 2.236.
Explanation:
As an aqueous solution becomes more acidic the hydroxide ion concentration
Explain how the data from the river samples showed that there was a problem with the water treatment plant.
The data from the river samples showed that there was a problem with the water treatment plant as the water treatment plant perform poorly.
Why did the plant perform poorly?The water treatment plant were said to have not work properly as the data gotten from the river samples showed that an issue is present with the water treatment plant due to the fact that there was the presence of high amount of pollutants in the river sample.
Note that the presence of pollutants in any given water samples can make the water treatment plant not to do well, as the presence of pollutants shows that there is inefficient water treatment.
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Which description of the transformation of z on the complex plane gives the product of and 2 = startroot 8 endroot (cosine (startfraction pi over 4 endfraction) + i sine (startfraction pi over 4 endfraction) )? scale z by a factor of 4, then rotate counterclockwise startfraction pi over 2 endfraction radians scale z by a factor of startroot 8 endroot, then rotate counterclockwise startfraction pi over 2 endfraction radians scale z by a factor of startroot 8 endroot, and then rotate counterclockwise startfraction pi over 4 endfraction radians scale z by a factor of 4, then rotate counterclockwise startfraction pi over 4 endfraction radians
Answer:
Scale z by a factor of [tex]\sqrt{8}[/tex], and then rotate counterclockwise [tex]\frac{\pi }{4}[/tex] radians.
Explanation:
Got it right on Edge 2022 (I'm assuming it's this question)
Answer:
C. scale z by a factor of StartRoot 8 EndRoot, and then rotate counterclockwise StartFraction pi Over 4 EndFraction radians
Explanation:
Driving at a safe speed is particularly important because kinetic energy __________.
Answer:
increases with the square of speed.
How much pressure would 0.8 moles of a gas at 370 k exert if it occupied 17.3 l of space?
Answer:
1.4 atm
Explanation:
A relation that assigns to each element x from a set of inputs or ________ exactly one element in a
The complete sentence is:
"A relation that assigns to each element x from a set of inputs or domain exactly one element in a..."
How to complete the sentence?
First, let's describe what a mathematical relation is.
A relation between two variables maps the element from the set of inputs, also called the domain, into the set of outputs, also called the range.
So we have something like:
y = h(x)
Where the relation h() is mapping the element x into the element y.
Now, the sentence that we need to complete is:
"A relation that assigns to each element x from a set of inputs or ________ exactly one element in a..."
So we need a synonym for the set of inputs, which we already know that is also called the domain, so the complete sentence would be:
"A relation that assigns to each element x from a set of inputs or domain exactly one element in a..."
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Ideally the backrest is tilted back slightly so when you turn the wheel your shoulders are
A quality control engineer is testing the battery life of a new smartphone. the company is advertising that the battery lasts 242424 hours on a full charge, but the engineer suspects that the battery life is actually less than that. they take a random sample of 303030 of these phones to test h_0: \mu=24h 0 :μ=24h, start subscript, 0, end subscript, colon, mu, equals, 24 hours versus h_\text{a}: \mu < 24h a :μ<24h, start subscript, start text, a, end text, end subscript, colon, mu, is less than, 24 hours, where \muμmu is the mean battery life of these phones. the sample data had a mean of 212121 hours and a standard deviation of 161616 hours. these results produced a test statistic of t\approx-1.03t≈−1.03t, approximately equals, minus, 1, point, 03 and a p-value of approximately 0.1560.1560, point, 156. assuming the conditions for inference were met, what is an appropriate conclusion at the \alpha=0.10α=0.10alpha, equals, 0, point, 10 significance level?
The appropriate conclusion of the hypotheses is that; there is insufficient evidence to support the claim that the mean battery life not up to 24 hours.
What is the Conclusion of the Hypothesis?
We are given;
Null Hypothesis; H₀: μ = 24
Alternative Hypothesis; Hₐ: μ < 24
We are aslo given that;
Significance level; α = 0.10
test statistic; t = 1.03
p-value = 0.156
Now, we see that our p-value is greater than the significance value and as such since the alternative hypothesis is the claim we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean battery life not up to 24 hours.
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