The area of sector GPH is

The maximum displacement of the tuning fork is 0.4 mm

The equation of the function is given as:

d = 0.4 sine (1760 pi t)

The above equation is a sine equation.

A sine equation is represented as:

f(t) = A sin(Bt + C) + D

Where A represents the maximum/amplitude

By comparison, we have:

A = 0.4

Hence, the maximum displacement of the tuning fork is 0.4 mm

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Answer:

0.4 mm

Step-by-step explanation:

The answer above is correct.

Answer:

  w(0) = -4

Step-by-step explanation:

Put 0 where x is and do the arithmetic.

  w(0) = 2·0 -4

  w(0) = -4 . . . . . . . simplified

The empirical rule states that, for data having a bell-shaped distribution, the portion of data values being within one standard deviation of the mean is 68%

A bell curve is the informal name of a graph that depicts a normal probability distribution. The term obtained its name due to the bell-shaped curve of the normal probability distribution graph.

The bell curve is perfectly symmetrical. It is concentrated around the peak and decreases on either side.

The dispersion of the data on the bell curve is measured by the standard deviation.

According to the question,

The empirical rule states that, for data having a bell-shaped distribution, the portion of data values being within one standard deviation of the mean is 68%

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By definition two quantities are proportional of each other if it can be express like:

where k is the constant of proportionality.

Now, by definition a line is a set of points that have the same rate of change between them, no matter which points we take.

Thus we can argue that a line always have a constant rate but they don't necessarily represent proportional quantities.

Answer:

Decreased

Strong negative

Step-by-step explanation:

The correlation Coefficient is used to show the strength and type of relationship which exists between the dependent and independent variable. The correlation Coefficient value ranges from - 1, to 1. With values closer to either - 1 or 1 depicting a strong relationship while those closer to 0 represents weak relationship. And correlation Coefficient of 0 indicates that no relationship exiata at all. Depending in the sign, that is positive or negative, positive sign means positive relationship while a negative sign represents a negative association. Positive association is interpreted as, for every increase in A, Variable B also increase and vice versa. For negative association, When A increases, B decreases and vice versa

Answer:

1. 1.5

2.

Step-by-step explanation:

I KNOW THE FIRST ANSWER IS CORRECT

Answer:

1.      1.5 miles

2.      1,700

Step-by-step explanation:

Hope this helped!!

Brainliest?

Answer:

Verbal expression; The sum of thirty -two and a number w

Algebraic expression ;32+w

Step-by-step explanation:

Answer:

A swimming pool charges an entrance fee of $2 per person plus $0.25 for each 10 minutes they spend in the pool.  How much did it cost for Katy to swim for 90 minutes?

let y = total cost

let x = number of 10 minute periods spent in pool

⇒ y = 0.25x + 2

If Katy spent 90 minutes in the pool, x = 9:

⇒ y = 0.25 x 9 + 2 = 4.25

So it cost Katy $4.25 to swim for 90 minutes.

Answer:

a: 1.6705882352941

b:463.52112676056

c: 22.82

Answer:

(5x+1)(2x^2+1)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

The required probability that she'll use a cab exactly one time is  4/9.

probability is a part of math that arrangements with figuring out the probability of the event of an occasion.

Elizabeth lives in San Francisco and works in Mountain View.

In the first part of the day she has 3 transportation choices  (bus, cab, train) to work, and at night she has similar 3 options for her outing home.

All transportation  (bus, cab, train) are comparably liable to be chosen, and 1 of them should be chosen in the first part of the day and night, so we get:

P (bus) = P (taxi) = P (train) = 1/3.

We additionally have P(no taxi in night) = P(no taxi at morning) = 2/3

Presently, P(using taxi precisely once) = P(cab at morning and no taxi at night) + P(no taxi at morning and taxi at night)

= P(cab, no taxi) + P(no taxi, taxi)

= 1/3 × 2/3 + 2/3 × 1/3

= 2/9 + 2/9

= 4/9

Consequently, the probability that Elizabeth utilizes a taxi just once is 4/9.

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3 hours to take second tap alone empty the tank.

Given data :

Time taken by tap A to empty the tank = 4 hours

Work done by tap A in 1 hour = \(\frac{1}{4}\)

Time taken to empty the tank by both taps = 1 hours

Time taken to empty the tank by tap B = Total time taken - time taken by A

=4 - 1 = 3

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If the stack is empty, push "a" and pop "b," and accept it. When input is finished being read, the push "a" and pop "b" stacks should be empty or the input should still include "a." Push and pop "a" for one or two "bs" in a nondeterministic manner. Push a's and b's, pop 'a' or 'b' for every 'c', and pop 'a' or 'b' for every 'd', and after input is complete, the stack should be empty.

A. This language consists of strings of the form \(a^mb^n\), where the number of 'a's is equal to the number of 'b's.

B. This language consists of strings of the form \(a^mb^n\), where the number of 'a's is greater than or equal to the number of 'b's.

C. This language consists of strings of the form \(a^mb^n\), where the number of 'a's is between the number of 'b's and double the number of 'b's.

D. This language consists of strings of the form \(a^iv^jc^kd^l\), where the number of 'i's plus the number of 'j's is one more than the number of 'k's plus the number of 'l's.

E. This language consists of strings of the form w₁cw₂c...c\(w_{k}\)ccx, where the \(w_{i}\)'s and x are strings of 'a's and 'b's, and for at least one i, \(w_{i}\) is equal to x when read from right to left.

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The complete question is:

Describe in English PDA's for each of the following languages:

A. {\(a^mb^n\) : n = m}

B. {\(a^mb^n\) : n ≤ m}

C. {\(a^mb^n\) : n ≤ m ≤ 2n}

D. {\(a^iv^jc^kd^l\) : i + j = k+1)

E. {w₁cw₂c...c\(w_{k}\)ccx : the \(w_{i}\)'s and x are in {a,b}* and for at least one i, \(w_{i}\), = \(x^R\) (where \(x^R\) denotes x read from right to left)

Given the equation:

Answer:

14

Step-by-step explanation:

\( \sin \: 30 \degree = \frac{7}{x} \\ \\ \frac{1}{2} = \frac{7}{x} \\ \\ x = 2 \times 7 \\ \\ x = 14\)

The period of time between treatments in which no treatment is given so that the effects of a previous treatment are eliminated before introducing a new treatment is called a washout period.

The period of time between treatments in which no treatment is given so that the effects of a previous treatment are eliminated before introducing a new treatment is called a washout period.

This period allows the body to return to its baseline state before starting a new treatment. The duration of the washout period depends on the specific treatment and its effects on the body.

The washout period allows for the evaluation of the effects of the new treatment without interference from the previous medication or treatment. The goal of a washout period is to reduce the potential for confounding variables that could impact the accuracy and reliability of the study results.

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The number of students who got news only from new websites is 22.

The problem can be solved using the set concept.

Let:

A = set of students who got their news from only news websites

B = set of students who got their news from news websites

C = set of students who got their news from both news websites and social media

Based on the given information, we can determine how many college students got their news from only news websites by using the formula:

n(A) = n(B) - n(C)

Where:

n(B) = 34

n(C) = 12

Plugging in the given values, we get:

n(A) = 34 - 12 = 22

Therefore, 22 college students got their news from only news websites.

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Answer:

4n^6+3n^4+5n^2

Step-by-step explanation:

(9n^6-7n^4+9m^2)-(5n^6-10n^4+4n^2)

(9n^6-5n^6)+(7n^4+10n^4)+(9n^2-4n^2)

4n^6+3n^4+5n^2

If this helps please mark as brainliest

The process of checking the correctness of an integration answer is essentially the reverse process of integration, called differentiation. By taking the derivative and comparing it to the original function, you can confidently determine if your integration solution is accurate.

The answer to an integration question, also known as the integral, represents the accumulated sum of a given function over a specified interval. In other words, integration helps us find the area under a curve or the total accumulated value of a continuously changing quantity.
To check the answer of an integration problem and ensure its correctness, you can use the following steps:
Perform the integration: Compute the integral of the given function over the specified interval, which will result in a new function or a constant value.
Take the derivative: To verify the correctness of the computed integral, take the derivative of the resulting function (if the integral resulted in a function) or the constant value. This process is called differentiation.
Compare the derivative with the original function: After obtaining the derivative of the integral, compare this derivative to the original function given in the integration problem. If the derivative matches the original function, then the computed integral is correct.
Verify any boundary conditions: If the integration problem involves definite integrals (integrating over a specific range or interval), ensure that the computed integral satisfies any given boundary conditions or constraints.
Remember, the process of checking the correctness of an integration answer is essentially the reverse process of integration, called differentiation. By taking the derivative of the integral and comparing it to the original function, you can confidently determine if your integration solution is accurate.

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ok

y = x + 2

The answer to your question is letter B.

This is because x must be positive, hold on , I'll grpah the equation

From the graph we concluded that the domain is x >= 0

and the range is y>= 2.

Answer:

To find the percent increase from last year to this year, we can use the following formula:

percent increase = [(new value - old value) / old value] x 100%

Plugging in the values given, we get:

percent increase = [(783.17 - 677.15) / 677.15] x 100%

percent increase = [106.02 / 677.15] x 100%

percent increase = 0.1566 x 100%

percent increase = 15.66%

Therefore, your annual percent of increase from last year to this year is 15.66%.

Hi there!

\(\large\boxed{-n^2 + 4n}\)

Begin by evaluating f - g:

4n - 5 - (n² - 5)

Simplify:

4n - 5 - n² + 5  = 4n - n²

Or it can be written as -n² + 4n to match the first answer choice.

{(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function .

• In mathematics, ordered pair is a pair of numbers which are written in a specific order. They are generally written in (x,y) form. For example (3,5) is a ordered pair.

• Function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have same value of x coordinate.

Case 1 : {(5,2),(4,2),(3,2),(2,2),(1,2)}

No two ordered pair have the same value of x coordinate. So it is a function.

Case 2 : {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)}

Two ordered pair have the same value of x coordinate (3,2) and (3,5). So, it can not be considered as a function.

Case 3 : {(-8,-3),(-6,-5),(-4,-2),(-2,-7),(-1,-4)}

No two ordered pair have the same value of x coordinate. So it is a function.

Case 4 : {(-6,4),(-3,-1),(0,5),(1,-1),(2,3)}

No two ordered pair have the same value of x coordinate. So it is a function.

Therefore, {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function.

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All 3 sides of the triangle are identical so each interior angle is 60 degrees.

7x + 4 = 60

Subtract 4 from both sides:

7x = 56

Divide both sides by 7:

x = 8

Answer:

528 feet squared

Step-by-step explanation:

Wall = 8 x 12 = 96

All 4 walls = 96 x 4 = 384

Ceiling = 12 x 12 = 144

Walls and ceiling = 384 + 144 = 528

The volume of the pyramid will be 14 cubic meters.

The volume of the pyramid is defined as the space occupied by the triangular pyramid in three-dimensional space.

The volume of a pyramid is a measure of the amount of space it occupies and is defined as one-third the product of the area of the base and the height of the pyramid.

Calculate the area of the base of the pyramid,

Area = 1/2 x 4 x 3

Area = 6 square meters

Calculate the volume of the pyramid as

Volume = 1/3 x ( 6 x 7 )

Volume = 14 cubic meters

Therefore, the volume of the pyramid will be 14 cubic meters.

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For the random variable x with CDF f(x) the answer of the following are,

a. The pdf should be non-zero only within the range 2 ≤ x < 4 that is

f(x) = 1/2, 2 ≤ x < 4

     = 0, elsewhere

b. P(2/3 < x < 3) = 7/6.

c. P(x > 3.5) =0.

d. 60th percentile = 3.2.

e. P(x = 3) = 0.5.

a. To find the probability density function (pdf) of x,

Differentiate the cumulative distribution function (CDF) with respect to x within the appropriate intervals,

For 2 ≤ x < 4

f(x)

= d/dx [(x - 2)/2]

= 1/2

For x ≥ 4

f(x)

= d/dx [1]

= 0

Since the pdf should be non-zero only within the range 2 ≤ x < 4, we have,

f(x)

= 1/2, 2 ≤ x < 4

= 0, elsewhere

b. To find P(2/3 < x < 3),  integrate the pdf within the given interval.

P(2/3 < x < 3) = \(\int_{2/3}^{3}\) f(x) dx

Since the pdf is constant 1/2 within the interval [2, 4], we have,

P(2/3 < x < 3) = \(\int_{2/3}^{3}\) (1/2) dx

= (1/2) \(\int_{2/3}^{3}\) dx

= (1/2) [x] evaluated from 2/3 to 3

= (1/2) [3 - (2/3)]

= (1/2) [9/3 - 2/3]

= (1/2) [7/3]

= 7/6

Therefore, P(2/3 < x < 3) is equal to 7/6.

c. To find P(x > 3.5), we integrate the pdf from the lower bound of 3.5 to positive infinity,

P(x > 3.5) = \(\int_{3.5}^{\infty}\) f(x) dx

Since the pdf is zero for x ≥ 4, we have:

P(x > 3.5) = \(\int_{3.5}^{\infty}\) f(x) dx

= \(\int_{3.5}^{4}\) 0 dx

= 0

Therefore, P(x > 3.5) is equal to 0.

d. The 60th percentile represents the value x for which the cumulative distribution function (CDF) is equal to 0.6.

0.6 = F(x)

From the given CDF,

0.6 = (x - 2)/2

x - 2 = 1.2

x = 3.2

Therefore, the 60th percentile is 3.2.

e. To find P(x = 3), we need to evaluate the CDF at x = 3,

P(x = 3) = F(3)

From the given CDF,

F(3)

= (3 - 2)/2

= 0.5

Therefore, P(x = 3) is equal to 0.5.

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The above question is incomplete, the complete question is:

let x be a random variable with cdf

f (x)=0, x< 2

     =(x - 2)/2 ,  2 ≤ x < 4

     =1, x ≥ 4

a. find the pdf of x.

b. find p x (2 / 3 < x < 3).

c. find p x( x > 3.5).

d. find the 60th percentile.

e. find p x( x = 3 ).

When a survey uses the responses strongly disagree, disagree, neutral, agree, strongly agree, this is an example of ordinal data.

Hence option d is the correct answer.

Levels of measurement can tell the preciseness of a variable recorded. (Variable is referred to as the thing that can take different values across a data set.) Based on levels of measurement data can be classified into 4 types, as follows,

Nominal data - Nominal data can only be categorized.

Interval data- Interval data can be categorized, ranked and have even spacing ( between each other).

Ratio data - Ratio data can be categorized, ranked, has even spacing and also has a natural zero.

Ordinal data - Ordinal data can be categorized and ranked.

Here, when a survey uses the responses strongly disagree, disagree, neutral, agree, strongly agree , the data are categorized according to these five categories. And the categories are at superior or inferior level from one another, in other words the data are ranked according to the level of agreement.

Thus, the given is an example of ordinal data.

Hence option d is the correct answer.

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