What would happen if the angle measured in table 2.3 was 42 explain your answer by calculating any one of the three trigonometric ratios discussed above​

The object whose distance is three times its displacement is object Z.  

The distance is defined as a scalar quantity representing the total distance traveled.

Displacement is a vector representing the distance between the end and start points.

Distance, Displacement, Ratio To calculate r = 3

Object    Motion                                    Distance     Displacement  ratio

 X          3 units left, 3 units right        3 + 3 = 6       3 - 3 = 0            ∞

 Y          6 units right, 18 units right    6 + 18 = 24    6 + 18 = 24       1

 W         8 units left, 24 units right      8 + 24 = 32   -8 + 24 = 16     2

 Z          16 units right, 8 units left       16 + 8 = 24    16 - 8 = 8         3

Ratio is calculated by dividing the distance by the displacement.

distance/displacement.

For object Z it is 24/8 = 3. So the object whose distance is three times its displacement is object Z.  

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If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.

In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.

Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.

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Answer:

It is similar because you have to always have the same numerator in adding or subtracting fractions. Adding fractions and subtracting mixed numbers is different because when u have a  mixed number you have to simplify it to its lowest terms to make it easy to tell if it's a whole number or mixed.

example: 2 1/2 + 3/2= 4 now u know its a whole number but as a mixed number that would be 8/2

Step-by-step explanation:

Answer:

A mixed number is a fraction just with a whole number such as 1, 2, 3, and on. A regular fraction would be 5/10 and you can make that irregular so we can say if it was 15/10 then thats still a fraction but its improper and in order to make it proper you must make it a mixed number.

If any of this made sense then i hope i helped.

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

2245 - 245 = 2000

2000÷20 =100

(a) To find the conditional PDF of Y given the event A, we need to use the formula: \(f(Y|A) = f(Y and A)/P(A)\) and integration method.

We know that Y has an exponential distribution with a parameter \(λ = 0.35\), so its PDF is: \(f(Y) = λe^(-λy), for y ≥ 0\). To find f(Y and A), we need to calculate the probability that both events occur: \(f(Y and A) = P(Y < 2 and Y = y) = P(Y < 2) * P(Y = y)\) =\(∫0^2 λe^(-λy) dy = -e^(-0.7y) from 0 to 2 = e^(-1.4) - 1\)

The probability of event A is: \(P(A) = P(Y < 2)\)= \(∫0^2 λe^(-λy) dy\)= \(-e^(-0.7y)\)from 0 to 2 = \(e^(-1.4) - 1\)

Therefore, the conditional PDF of Y given event A is:

\(f(Y|A) = f(Y and A)/P(A) = (λe^(-λy))/(e^(-1.4) - 1), for 0 ≤ y < 2\)

\(f(Y|A) = 0, for y ≥ 2\)

(b) The conditional expected value of Y given event A is:

\(E(Y|A) = ∫0^2 yf(Y|A) dy = ∫0^2 y(λe^(-λy))/(e^(-1.4) - 1) dy\)

Using integration by parts, we get:

\(E(Y|A) = [-y*e^(-0.35y)/(2-2e^(-1.4))] from 0 to 2 + ∫0^2 e^(-0.35y)/(2-2e^(-1.4)) dy\)

\(E(Y|A) = [-y*e^(-0.35y)/(2-2e^(-1.4))] from 0 to 2 + [-20/(7e^(1.4)-7)]\)

\(E(Y|A) = 1.2276\)

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The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.

The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.

Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.

It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.

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Answer:

No

Step-by-step explanation:

Think of the decimal number as 97. Would it round up or down? Because 7 is greater than 4, you would round it up to 100. And since this is a whole number, the correct answer would be 7 meters per second.

Hope this makes sense!

The new mean for the given data would be 80.

What is the mean of the numbers?

The average (mean) is equal to the sum of all the data values divided by the number of values in the data set.

Mean = Sum / Count

Firstly 18 students took the test and the mean was 81.

By using the definition of mean we can write

        Mean = sum of scores/number of students

         81 = sum of scores / 18

    Sum of scores = 81 * 18

                             = 1458

Now later the four absent kids made it up and scored 77, 85, 68, and 80.

Now new sum of the scores would be = 1458 + 77 +  85 + 68 + 80

                                                               = 1768

And the total number of students will be = 18 + 4 = 22

New mean = new score/number of students

                  = 1768/22

                   = 80.36

                   ≈ 80

Hence, the new mean for the given data would be 80.

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Answer:

\( \underline{ \boxed{f(3) = 41}}\)

Step-by-step explanation:

\( if \to \: f(x)=x^3 + 2x^2-x-1 \\ then \: f(3) = {3}^{3} + 2( {3)}^{2} - 3 - 1 \\ f(3) = 27 + 18 - 4 \\ f(3) = 41\)

Answer:

If you would like to know what is the length of the painting, you can calculate this using the following steps:

an area = width * length

320 = 16 * length

length = 320 / 16

length = 20 inches

The correct result would be 20 inches.

Step-by-step explanation:

The length of the second rectangle in the painting is 1.90 inches.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the area pf a rectangle is (length×width) and the perimeter is

2(length + width).

Given, Gal created a painting with a perimeter of 56 inches and a length of 7 inches.

Let, the width of the rectangle be 'x'

Therefore,

2(7 + x) = 56

14 + 2x = 56.

2x = 42.

x = 21.

Now, They created a second painting with an area of 40 square inches. it has the same width as the first painting.

Let, The length of the rectangle be 'l'.

Therefore,

(l×21) = 40.

l = 40/21.

l = 1.90.

The length of the second painting is 1.90 inches.

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Question:

The area of the triangle is?

Answer:

Step-by-step explanation:

5.5 x 10.4 = 57.2/2 = 28.6

Quick Note:

(A triangle is half a square so divide by two when you get your answer after multiplying)

Answer:

i will say c

Step-by-step explanation:

c

Answer:

B. Whole numbers from 0 to 10

Step-by-step explanation:

this is a dot graph, so only those dots, whole numbers of tickets, are valid input, that is, domain of the graph.

Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

a) "Every student in this class has taken exactly two mathematics classes at this school."

In this statement, we have two main quantifiers:

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.

Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.

So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."

b) "Someone has visited every country in the world except Libya."

In this statement, we also have two main quantifiers:

Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.

So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."

In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.

Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

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Madison figures out the average and range of chloride readings from wells close to the ocean. Other than a query, she has carried out an operation. The answer id option (d).

The standard deviation is a measure of variance from the mean that takes spread, dispersion, and dispersion into account. The standard deviation displays a "typical" divergence from the mean. It is a well-liked measure of variability since it retains the primary units of measurement from the data set.  A minor variation occurs when the numbers are close to the mean, while a high variation occurs when they are far from the mean.

The standard deviation describes the degree to which the results deviate from the mean. The average deviation, which depends on all values, is the most often used metric for measuring dispersion. Consequently, the standard deviation's value can be altered even by a slight change in one value.

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Answer: 15

Step-by-step explanation:

Let x =  the number of players the team can bring to the tournament.

Given: Soccer team raised $2158 for tournament.

Bus rent = $1130.50  and budget per player for meals = $68.50

Total cost of tournament = Bus rent + (budget per player for meals) ( number of players the team)

\(2158=1130.50+68.50x\\\\\Rightarrow\ 68.50x=2158-1130.50\\\\\Rightarrow\ 68.50x=1027.5\\\\\Rightarrow\ x=\dfrac{1027.5}{68.5}\\\\\Rightarrow\ x=15\)

Hence, the number of players the team can bring to the tournament = 15

Answer:

15

Step-by-step explanation:

Thus, the approximate percentage of lightbulb replacement requests numbering between 42 and 50 is 34%.

A bell curve is a form of graph that is used to show how a collection of selected values are distributed; it often has a peak at the centre that tends to be normal, with low and high extremes tapering out rather symmetrically on either side.

Given that:

Mean = 42 with standard deviation of 4.

Now,

If mean = 42,

1 standard deviation (+1σ) above that mean = 42 + 4  =48

1 standard deviation (-1σ) below that mean = 42 - 4 = 38

By the empirical rule  68-95-99.7 rule:

68% of the given normal distribution data lies between -1σ and +1σ:  That is between 38 - 48  requests.

And,

In the range 42 - 50  requests (between that mean and +1σ) is half of the given 68% : 68/2 = 34%

Thus, the approximate percentage of lightbulb replacement requests numbering between 42 and 50 is 34%.

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Correct question:

the physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. the distribution of the number of daily requests is bell-shaped and has a mean of 42 and a standard deviation of 4. using the empirical rule  68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 42 and 50?

Answer:

i think (-5)

Step-by-step explanation:

i hope its correct

Using the exchange rate, Amy converted $75 into pounds.

The exchange rate is the unit at which one currency is changed to or converted into another.

The exchange rate converts a country's currency into another.

The exchange rate shows the worth of one currency against another.

Exchange rate = $1: £0.54

Amount received = £40.50

The dollars converted into pounds = $75 (£40.50/£0.54)

Check:

$75 to pounds = £40.50 ($75 x £0.54)

Thus, we can conclude that more dollars buy fewer Australian dollars at this exchange rate.

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Answer:

Theradius is 16 + 9 = 5. The equation of thecircle is2 2( x− 4) + ( y− 3) = 25. 53.54.x2 + y2 – 4 x ...

A linear model for the situation below passes through the origin. A manufacturer can produce 4,200 gears in 8 hours. How many gears can be made in 1 hour? values of the following algebraic expressions : L 3c2; 72/3; 5a&; ... 2x^-x^-3x-^ by 2 x'^ - 3 x~^ - x-^ ; a" - 1 + ft- " by a^ + ft~i ...

Step-by-step explanation:

A less character after a greater in10 = X. creases its value, as XI X+I, ... the root of each and set one above the other; as, % is the square root of 3X.180 / 90 / 15 lm | 12 VDC | 3 W module | 16 Wh battery | white | ... 48 VDC | PV 23,6 kW | 4 x VE SmartSolar MPPT 25 / 100-TR | 3x VE .

Answer: Long-term Liability

Step-by-step explanation:

This question relates to the classification of the lease above in accounting.

A long term liability is a payment that is owed by a company for a period lasting more than a year.

When a lease is for more than a year as is the case here, you take the present value of the lease and consider that amount to be a long term liability because it would represent an amount that the company is to pay for more than a single period.,

Answer:

common difference = 31-18

common difference =13

from,

An=A1 +(n-1)d

A84=18+(84-1)13

A84=1097

Answer:

1097

Step-by-step explanation:

Common Difference:

d=a_2-a_1=(31)-(18)=13

d=a  

2

​  −a  

1

​  =(31)−(18)=13

a_n=a_1+(n-1)d

a  

n

​  =a  

1

​  +(n−1)d

\text{84th term:}

84th term:

a_{84}=18 + (84-1)(13)

a  

84

​  =18+(84−1)(13)

a_{84}=18 + (83)(13)

a  

84

=18+(83)(13)    a_{84}=1097      a  84

​ =1097

The value r², called the coefficient of determination, measures the proportion of variability in one variable that can be determined from its relationship with the other variable.

The higher the value of r2, the more of the variation in the dependent variable can be attributed to the independent variable(s), and therefore the better the relationship between the two variables is. Overall, the coefficient of determination is an important statistical measure that is used to evaluate the strength and fit of regression models. It allows researchers to determine how much of the variation seen in the dependent variable can be explained by the independent variable(s), which can help in making predictions and drawing conclusions from the data.

It represents the strength and direction of the correlation between two variables, helping to quantify their linear association. A higher r² value indicates a stronger relationship between the variables, while a value close to zero signifies a weak or no relationship.

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The ratio of apples to bananas, given 6 bananas and 2 apples, is 1:3. The ratio of apples to bananas can be determined by dividing the number of apples by the number of bananas.

In this case, there are 2 apples and 6 bananas. Dividing 2 by 6 gives us the ratio of 1:3. To represent the ratio in the given answer choices:

Choice (a) states 2:6, which is incorrect as it does not match the given quantities.

Choice (b) states 6:2, which is also incorrect as it swaps the quantities. Choice (c) states 2:8, which is incorrect as it changes the quantity of bananas.

Choice (d) states 8:2, which is incorrect as it swaps the quantities. Therefore, the correct ratio of apples to bananas is 1:3, indicating that for every apple, there are three bananas.

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Answer:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

Step-by-step explanation:

Answer:Step-by-step explanation:Points R(4,1) S(7,3) T(6,4) after translation R(4-3, 1) S(7-3, 3) T(6-3, 4) R'(1, 1) S'(4, 3) T'(3, 4) Points R'(1, 1) ...

Answer:

Celsius = 100c

Fahrenheit = 212f

Answer:

2

Step-by-step explanation:

2×2=4

4÷2=2

Answer:

2

Step-by-step explanation:

2 x 2 = 4

4 / 2 = 2

the answer is 2

Answer:

52

Step-by-step explanation:

yes

By using the fact that the two angles are vertical angles, we will write and solve a linear equation to fine that the value of x is 20.

Here we assume that both of the horizontal lines are parallel. Then the two marked angles (the ones that depend of x) are vertical angles.

This means that the measure of these angles is the same one, then we can write:

(5x - 8)° = (3x + 32)°

So we can solve that linear equation to find the value of x, we will get:

5x - 8 = 3x  + 32

Grouping like terms we get:

5x - 3x = 32+ 8

2x = 40

x = 40/2

x = 20

The value of x is 20.

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