what is true of the data in the dot plot? check all that apply. number of minutes shelly spent waiting for the bus each morning

Answer: the height of the pole is 16.782 meters

Step-by-step explanation: Let us take the height of the pole as "h".

i) Finding the height of the pole:

distance from the pole is 20m.

The angle of elevation is 40°

\(tan(40°) = h/20\)

Multiply both sides by 20:

\(20 * tan(40°) = h\)

\(h ≈ 20 * 0.8391 ≈ 16.782 meters\)

Therefore, the height of the pole is 16.782 meters.

ii) Finding the angle of depression

The angle of depression is the angle formed between the horizontal ground and the line of sight from the point of observation to the foot of the pole.

angle of depression = angle of elevation = 40°

Therefore, the angle of depression of the foot of the pole from the point of observation is 40°.

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Using trigonometric methods, it is determined that the height of the pole is found by using the formula for tangent, and adding the height of the observer. The angle of depression equals the angle of elevation, so both are 40 degrees.

To solve the problem, we use the properties of a right triangle and trigonometric functions. Since we know the angle of elevation and the length of one side, we can find the length of the other side using the tangent function.

For the height of the pole: we know that tan(θ) = opposite/adjacent, so,
tan(40) = height/20
height = tan(40) * 20

Let's denote the observer's height as h=1.54m, so the total height of the pole is height + h.

For the angle of depression: In a right triangle, the angle of depression and the angle of elevation are equal. Therefore, the angle of depression is also 40 degrees.

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Answer:

2600

Step-by-step explanation:

9664-7092 = 2572

Answer: g = w² - 14w + 49

\(w=7-\sqrt{g}\\\\=> \sqrt{g} =7-w \\\\<=>g=(7-w)^{2}=49-14w+w^{2}\)

Step-by-step explanation:

Answer:

C. since 8, 15, 17 are pythagorean triples

Answer:

C) 32 * 2**1/2

Step-by-step explanation:

For rectangle P = L + W = 24 but L = 2W so

2W + W = 24

3W = 24

W = 8 and L = 2W = 16

A = L * W = 16 * 8 = 128

SO for the square with the same area

A = L * L = 128

L**2 = 128

L = 8 * 2**1/2

P = 4L = 32 * 2**1/2

Answer:

D. Figure

Step-by-step explanation:

Because  it go's black cream black cream  and D is the only one that shows that

Hope This Helped

The correct figure for repeats in the tessellation shown is shown in

''Option D''.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The tessellation shown in image.

Now, By figure of the tessellation shown we get;

Figure shown in option D is figure for repeats in the tessellation

Thus, The correct figure for repeats in the tessellation shown is shown in

''Option D''.

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The derivative dy/dx of the composite function y = ³√(e^x + 9) is (1/3) * (e^x + 9)^(-2/3) * e^x.

To write the composite function y = f(g(x)) and find its derivative dy/dx, let's identify the inner function u = g(x) and the outer function y = f(u).

For the given function y = ³√(e^x + 9), we can identify:

Inner function: u = g(x) = e^x + 9

Outer function: y = f(u) = ³√u

Now, let's write the composite function in the form f(g(x)):

y = f(g(x)) = ³√(e^x + 9)

To find the derivative dy/dx, we can use the chain rule. The chain rule states that if y = f(u) and u = g(x), then dy/dx = (df/du) * (du/dx).

Let's find the derivative dy/du first:

df/du = d(³√u)/du

= (1/3) * u^(-2/3)

Next, let's find the derivative du/dx:

du/dx = d(e^x + 9)/dx

= d(e^x)/dx

= e^x

Now, we can multiply the derivatives to find dy/dx:

dy/dx = (df/du) * (du/dx)

= (1/3) * u^(-2/3) * e^x

Substituting the value of u = e^x + 9, we have:

dy/dx = (1/3) * (e^x + 9)^(-2/3) * e^x

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Answer:

Step-by-step explanation:

c dude

The initial conditions that the solution y = -3e^(3x)sin(x) satisfies are:

y(0) = 0, y'(0) = 3, y''(0) = -6, y'''(0) = 0, and y''''(0) = 18.

To find the initial conditions that the solution y = -3e^(3x)sin(x) satisfies, we need to differentiate it four times and then evaluate it at the initial time t = 0.

y = -3e^(3x)sin(x)

y' = -3e^(3x)sin(x) + 3e^(3x)cos(x)

y'' = -6e^(3x)cos(x)

y''' = 18e^(3x)sin(x)

y'''' = 18e^(3x)cos(x)

Now, evaluating these expressions at t = 0:

y(0) = -3e^(3*0)sin(0) = 0

y'(0) = -3e^(30)sin(0) + 3e^(30)cos(0) = 3

y''(0) = -6e^(3*0)cos(0) = -6

y'''(0) = 18e^(3*0)sin(0) = 0

y''''(0) = 18e^(3*0)cos(0) = 18

Therefore, the initial conditions that the solution y = -3e^(3x)sin(x) satisfies are:

y(0) = 0, y'(0) = 3, y''(0) = -6, y'''(0) = 0, and y''''(0) = 18.

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Given:

The initial value of the car = $75,700

Decreasing rate = 4.3%

To find:

The value of r in the exponential DECAY formula.

Solution:

The exponential decay formula is:

\(y=a(1-r)^t\)

Where, a is the initial value, r is the rate of decay on decimal and t is the time period.

The initial value of the car is $75,700 and its value decreases 4.3% annually. So,

\(a=75,700\)

\(r=\dfrac{4.3}{100}\)

\(r=0.043\)

The required exponential decay formula is:

\(y=75,700(1-0.043)^t\)

Therefore, the value of r in the exponential decay formula is 0.043.

  The option D is the correct answer.

a. They are adjacent angles: Adjacent angles are angles that share a common side and vertex, but do not overlap. It is possible for two angles to be supplementary and adjacent, but it is not always the case. Therefore, option a is not the correct answer.

b. They are congruent angles: Congruent angles have the same measure. Two angles that are supplementary to the same angle can have different measures, so option b is not the correct answer.

c. They are complementary angles: Complementary angles are two angles that add up to 90 degrees. Since two angles that are supplementary to the same angle add up to 180 degrees, they cannot also be complementary. Therefore, option c is not the correct answer.

d. They are congruent supplementary angles: Congruent supplementary angles have the same measure and add up to 180 degrees. This is the correct answer because if two angles are supplementary to the same angle, their measures must be equal in order for their sum to be 180 degrees. Therefore, option d is the correct answer.

To summarize, if two angles are supplementary to the same angle, they are congruent supplementary angles because their measures are equal and add up to 180 degrees.

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The store bought the phone for $140 and sells the cell phone for $315 at a markup of 125%.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the markup, since the store sells the cell phone for $315, hence:

(315 - 140)/140 * 100% = x

x = 125%

The store bought the phone for $140 and sells the cell phone for $315 at a markup of 125%.

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The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.

Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.

According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.

By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.

Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.

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The required solution to the given expression is 4x² + 5x - 4y - 3.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question, as follows:

y + 2x - 3 + 4x² + 3x - 5y

We have to determine the solution to the given expression.

As per the question, we have

y + 2x - 3 + 4x² + 3x - 5y

Rearrange the variables in the above expression,

4x² + 2x + 3x + y - 5y - 3

Combine likewise terms in the expression,

4x² + 5x - 4y - 3

Thus, the required solution is 4x² + 5x - 4y - 3.

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The question seems to be incomplete the correct question would be:

Find the solution to the below expression.

y + 2x - 3 + 4x² + 3x - 5y

The shape of the volatility smile provides insights into the implied volatility of put options at different strike prices, and shows that options close-to-the-money, deep-in-the-money, and deep-out-of-the-money all have unique levels of implied volatility. The correct answer to the question is D, all of the above.

The volatility smile is a graph that plots the implied volatility against the strike prices of options. It is named a "smile" because it often has a concave shape, with the implied volatility being higher for options that are deep in or out of the money, and lower for options that are close to the money.

Regarding put options on equity, the shape of the volatility smile reveals that options that are close-to-the-money tend to have the lowest implied volatility. This is because these options are the most commonly traded and therefore have the most accurate pricing. Options that are deep-in-the-money have a relatively high implied volatility because they have a higher chance of being exercised and therefore have a higher perceived risk. Similarly, options that are deep-out-of-the-money have a relatively high implied volatility because they are seen as long-shot bets and therefore have a higher perceived risk.

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Since triangles RST and XYZ are congruent, the statement that must be true is:

B. ∠R ≅ ∠X

When two triangles are congruent, then every corresponding sides and corresponding angles of both triangles would also be congruent.

Since ΔRST and ΔXYZ are said to be congruent, then all its corresponding parts would also be congruent to each other. Angles R and X are corresponding angles. Therefore, the statement that must be true is:

B. ∠R ≅ ∠X

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Answer:

The cost of the necklace would be 7 dollars.

5*3 = 15

40-4=36

36-15=21

21/3= 7 dollar necklaces.

I didn't round to the nearest integer you have to do that yourself.

Answer:

I love pumkin pies

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

5+3=8

3 pumpkin pies so 3/8

          3/8 times 100

        37.5 percent

Answer:

105

Step-by-step explanation:

\(g(x)=x^{3}-9x\)

rate of change of g(x) is

\(g^{,}(x)=3x^{2} -9\)

for x=1

\(g^{'}(1)=3(1)^{2} -9=-6\)

for x=6

\(g^{'}(6)=3(6)^{2} -9=99\)

Answer:

D. 3x + 3 + 6 = 33

Step-by-step explanation:

3(x +1) + 6 = 3

multiply 3 by everything in the parenthesis

3(x) + 3(1) + 6 = 33

3x + 3 + 6 = 33

I hope this helps!

P(3) is approximately equal to  0.139.

(a) Yes, we can use the Poisson approximation to find P(30 < x < 35) because both np and n(1-p) are greater than or equal to 10, where n = 100 and p = 0.3. Therefore, the conditions for the Poisson approximation are satisfied.

Using Poisson approximation, we have:

λ = np = 100 x 0.3 = 30

P(30 < x < 35) ≈ P(X = 31) + P(X = 32) + P(X = 33) + P(X = 34)

= e^(-λ) * (\(λ^31\) / 31!) + e^(-λ) * (λ^32 / 32!) + e^(-λ) * (λ^33 / 33!) + e^(-λ) * (λ^34 / 34!)

≈ 0.1885

(b) Using the normal approximation, we have:

µ = np = 100 x 0.3 = 30

σ = sqrt(np(1-p)) = sqrt(100 x 0.3 x 0.7) = 4.58

P(30 < x < 50) ≈ P((30 - µ)/σ < (x - µ)/σ < (50 - µ)/σ)

≈ P(-4.34 < Z < 4.34) [where Z is a standard normal random variable]

≈ 1

Therefore, P(30 < x < 50) is approximately equal to 1.

(c) Let x be a binomial random variable with n = 4 and P(0) = 0.0081.

We need to find P(3).

Let P(1) = q

Then, from the given information, we have:

P(0) = (1-q)^4 = 0.0081

Solving for q, we get:

q = 1 - (0.0081)^(1/4) ≈ 0.207

Now, using the binomial probability formula, we have:

P(3) = (4 choose 3) * q^3 * (1-q)^1

= 4 * 0.207^3 * 0.793

≈ 0.139

Therefore, P(3) is approximately equal to 0.139.

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Step-by-step explanation:

l^2=15^2+6^2

l^2=225+36

l^2=261

l=√261

multiply the height x the length x the width to find the volume of a room (or another 3d object)

There are three types of triangle according to sides and angles each.

The triangle is a type of polygon having three sides, angles and vertices.

Classification of triangles :-

Based on sides :-

1) Scalene triangle :- A triangle with all different measurements of sides and angles are called a Scalene triangle.

2) Isosceles triangle :- A triangle with two of the sides and angles are congruent called an Isosceles triangle.

3) Equilateral triangles :- A triangle with all the same measurements of sides and angles is called an Equilateral triangle.

Based on angles :-

1) Acute angled triangle :- A triangle with all the angles less than 90°, are called acute angled triangle.

2) Obtuse angled triangle :- A triangle with all the angles greater than 90° and less than 180°, are called Obtuse angled triangle.

3) Right angled triangle :- A triangle with one angle equals 90° is called a Right angled triangle.

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Answer:

65%

Step-by-step explanation: