What is the correct expression for f(t) for the function f(s)=320/s^2(s+ 8) .

Answer:

∠ L = 109°

Step-by-step explanation:

Since the triangles are congruent, then corresponding angles are congruent.

Thus ∠ J = ∠ G , substitute values

3x + 12 = 2x + 19 ( subtract 2x from both sides )

x + 12 = 19 ( subtract 12 from both sides )

x = 7

Then

∠ G = 2x + 19 = 2(7) + 19 = 14 + 19 = 33°

∠ H = 4x + 10 = 4(7) + 10 = 28 + 10 = 38°

By the sum of angles in a triangle = 180°, then

∠ F = 180° - (33 + 38)° = 180° - 71° = 109°

∠ F and ∠ L correspond , thus

∠ L = ∠ F = 109°

Step-by-step explanation:

10x - 10y = -20

-10y = -20 - 10x

y = -20/-10 - 10x/-10

y = 2 + x

-10x + 4y = -16

-10x + 4(2 + x) = -16

-10x + 8 + 4x = -16

-6x = -24

x = -24/-6

x = 4

y = 2 + x

y = 2 + 4

y = 6

Solution = (4,6)

answer = c

its not a or b because the range starts at y = 2

Answer:

-4 < n ≤ 5

Step-by-step explanation:

_________________

Answer:

The espression 8(2m - 3) shows the length and the width of the rectangle ⇒ D

Step-by-step explanation:

Let us find the greatest common factor of 16 and 24

∵ 16 = 1 × 16, 2 × 8, 4 × 4

∴ The factors of 16 are 1, 2, 4, 8, 16

∵ 24 = 1 × 24, 2 × 12, 3 × 8, 4 × 6

∴ The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

→ Find the common factors of 16 and 24

∵ The common factor of 16 and 24 are 1, 2, 4, 8

∵ The greatest one is 8

∴ The greatest common factor of 16 and 24 is 8

→ Take 8 as a common factor from 16m and 24

∵ 16m ÷ 8 = 2m

∵ 24 ÷ 8 = 3

∴ 16m - 24 = 8(2m - 3)

∴ The espression 8(2m - 3) shows the length and the width of

   the rectangle

Answer:

Step-by-step explanation:

700.5

Suppose dorothy drops a ball from a height of 10 feet. after the ball hits the floor, it rebounds 65% of its previous height.The formula that represents the height of the ball after its nth bounce is given by

\(y = (0.65)^n \times 10 feet.\)

When a ball is dropped from a height of 10 feet, it rebounds to 65% of its previous height each time it bounces.

To find the height of the ball after the nth bounce, we need to use a geometric sequence formula,

which is given by

\(y = ar^n-1,\)

where a is the initial term,

r is the common ratio, and

n is the number of terms.

Here, a = 10 feet,

r = 0.65, and

n is the nth term or

the number of times the ball bounces after it is dropped for the first time.

Therefore, the formula that represents the height of the ball after its nth bounce is given by

\(y = (0.65)^n \times 10 feet.\)

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Answer:

line segment

Step-by-step explanation:

the answer is above

The true population mean is (222.52, 227.48) with a 95% confidence interval.

The critical factor for a 90% confidence interval for the true population mean is given by;

Critical factor = (x-μ)/(s/√n)

where, x = sample mean repair cost

s =  standard deviation of a sample

n = sample of stereos

μ  = critical value

⇒ P(-1.96< (x-μ)/(s/√n) < 1.96) = 0.95

⇒ P(-1.96×(s/√n) < (x-μ) < 1.96×(s/√n)) = 0.95

⇒ P(x - 1.96×(s/√n) < μ < x + 1.96×(s/√n)) = 0.95

95% confidence interval for

⇒ μ = (x - 1.96×(s/√n) , x + 1.96×(s/√n))

Here, x = 225, s  = 8.5, and n = 45

⇒ μ = (225- 1.96×(10.81/√13) , 225+ 1.96×(10.81/√13))

⇒ μ = (222.52, 227.48)

Hence, the true population mean is (222.52, 227.48) with a 95% confidence interval.

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The question seems to be incomplete the correct question would be

Calculate the 95% confidence interval for the true population mean based on a sample with x=225, s=8.5, and n=45.

Answer:

6w by 9L

Step-by-step explanation:

24 x 1/4=6

36 x 1/4=9

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

What is matrix ?

A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,

1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.

2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.

3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.

4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

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Answer:

Quadrant 4

Answer is D........

Answer:

No

Step-by-step explanation:

the standard form is x^2 +2x+6

Answer:

2/5, 40%

Step-by-step explanation:

200 men + 100 women = 300 people

100 men smokers + 20 woman smokers = 120 smokers

120 smokers/300 people = 40/100 = 40% = 0.4 = 4/10 = 2/5

The probability is 2 out of 5 people

-Chetan K

Answer:

28 would be your anwser

Step-by-step explanation:

True. Correlation measures the strength of the relationship between variables. A correlation closer to 1 or -1 suggests a stronger relationship and supports the claim that x determines y.

Correlation measures the degree of association between two variables, typically denoted as x and y. A correlation coefficient ranges from -1 to 1, where a value close to 1 indicates a strong positive correlation, a value close to -1 indicates a strong negative correlation, and a value close to 0 indicates a weak or no correlation.

When the correlation coefficient is close to 1 or -1, it suggests a strong relationship between the variables. If the correlation is positive and close to 1, it indicates that as the level of x increases, the level of y tends to increase as well. Similarly, if the correlation is negative and close to -1, it implies that as the level of x increases, the level of y tends to decrease.

Therefore, a correlation closer to 1 or -1 provides greater evidence that the level of x determines the level of y, supporting the claim of a strong relationship between the two variables.



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The simple interest when the principal is $1,500, the interest rate is 6.0%, and the time is 5 years is $450.

To find the simple interest, you can use the formula:

Simple Interest (SI) = Principal (P) × Interest Rate (R) × Time (T)

Here, the principal (P) is $1,500, the interest rate (R) is 6.0%, and the time (T) is 5 years.

First, convert the interest rate from percentage to decimal by dividing by 100:

R = 6.0 / 100 = 0.06
 
Now, plug in the values into the formula:

SI = P × R × T
SI = $1,500 × 0.06 × 5

Calculate the result:

SI = $1,500 × 0.06 × 5 = $450

So, the simple interest for this case is $450.

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The amount of money left after riding n rides is:

f(n) = 50 - 1.50n

We can model this with a linear equation. We know that Tom starts with a total of 50 dollars, and each game in the state fair has a ride cost of $1.50

So, if he goes to n of these rides, the amount of money that he will have at the end is equal to the initial amount minus n times the cost of a game, we can write this as the linear equation:

f(n) = 50 - 1.50n

Where the units of the function f(n) are in dollars. That is the equation we wante to get.

50 is the y-intercept, the initial amunt.

-1.50 is the slope, the cost per game.

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Step-by-step explanation:

please mark me as brainlest

Answer:

-0.88

Explanation:

2/3 + 4/5 x 7/5 - 8/3​

2/3 + 28/25 - 8/3

2/3 - 8/3 + 28/25

-6/3 + 28/25

-2 + 28/25

-50/25 + 28/25

-22/25

-0.88

When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

Answer:

a) Let x be the number of bags of snacks supplied, and y be the number of beverages supplied.

b) We know that the total number of items supplied is the sum of the number of bags of snacks and the number of beverages, so we can write:

x + y = 400

We also know that the number of beverages supplied is 50 more than the number of bags of snacks, so we can write:

y = x + 50

Therefore, the system of equations for the situation is:

x + y = 400

y = x + 50

The answer of modelled graph representing heights of the steps are:

a. Period = 40 sec.

b. Equation of axis :

        H(t) = t /3 , 0 < t < 15

         -t/3 + 10 , 15 < t < 35

          t/ 3 , 35 < t < 40

c. Peak is highest point of step of escalator.

d. Range ( -1, 5)

e. Domain ( 0, 350 )

f. No.

From the attached graph which represents the height of steps in escalator gave answer of the following question :

a. Period of the function = 40 sec.

It represents the complete cycle.

b. Equation of the axis for periodic function is given by breaking the graph into points :

H(t) = t /3 , 0 < t < 15

         -t/3 + 10 , 15 < t < 35

          t/ 3 , 35 < t < 40

c. Peak of the periodic function is given highest point of the escalator.

d. Range of the function is -1 to 5.

e. Domain for 10 cycles is ( 0, 350 ).

f. No , Steven is not correct. At t= 350s stair will  be at ground level.

Therefore, the answer based on the height of escalator steps through graph are:

a. Period of the function = 40 sec

b. Equation of axis for periodic function:

         H(t) = t /3 , 0 < t < 15

         -t/3 + 10 , 15 < t < 35

          t/ 3 , 35 < t < 40

c. Highest point of steps represents peak.

d. range = -1 to 5

e. Domain of periodic function : ( 0,350)

f. No.

The above question is incomplete, the complete question is :

1. Steven is monitoring the height of one particular step on an escalator that takes passengers from the ground level to the second floor. The height of the Height of Step step in terms of time can be modelled by the graph shown. a) What is the period of the function, and what does it represent in this situation? b) Determine the equation of the axis for this periodic function. c) What do the peaks of the periodic function represent in this situation? Time (s) d) State the range of the function. e) If the escalator completes only 10 cycles before being shut down, what is the domain of the periodic function? f) Steven states that the stair will be at ground level at  t = 300s. Is he correct? Justify your answer.

Graph is attached.

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out of 300 7th graders that use a computer 5-10 hours would be around 260 children. out of 360 seventh graders that use a computer 10 hours or less each week will be around 300

The advantages of the 'Monthly Reporting Form' are given below:a) Reduced administrative hassle compared to single shot: Monthly reporting forms reduce the workload of administrative work that may have been required if it was a single-shot.

For instance, when it comes to accounting and finance, monthly reporting can help to reduce the administrative burden that comes with running a business. This is because monthly reporting makes it easier to keep track of financial data, ensuring that records are updated on a more frequent basis.

There is a lower rate associated with monthly reporting forms as they can offer a reduction in cost compared to single-shot options. This is because they can save time and money in the long run, reducing the amount of work and administration required to keep track of things.

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The minimum weight a bag of dog food could be and remain in the top 10% of all bags filled is 32.0625 kilograms.

To calculate the minimum weight a bag of dog food could be and remain in the top 10% of all bags filled, we need to first determine the z-score at which 90% of the bags are below. To do this, we use the z-score formula to calculate the z-score where 90% of the bags are at or below a certain weight. The z-score formula is z = (x - μ) / σ, where x is the value, μ is the population mean, and σ is the population standard deviation. In this case, the population mean is 30 kilograms and the population standard deviation is 1.25 kilograms. Using the z-score formula, we get a z-score of 1.6. Then, using the inverse z-score formula, we can calculate the minimum weight of a bag of dog food to be in the top 10%: x = μ + (z * σ), where x is the value, μ is the population mean, z is the z-score, and σ is the population standard deviation. In this case, x = 30 + (1.6 * 1.25), which equals 32.0625 kilograms. Therefore, the minimum weight for a bag of dog food

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Answer:

6x + 11x - 10

Step-by-step explanation:

So in order to solve this expression, we have to distribute the numbers in each set of parenthasis

Step 1 : break down each mini-espression you're solving

(2x+5)(3x-2)

each term is multiplied by both terms in the other set of parenthasis.

(2x · 3x) + (2x · -2) + (5 · 3x) + (5 · -2)

Step 2 : Solve each idividual piece

(2x · 3x) = 6x²

(2x · -2) = -4x

(5 · 3x) = 15x

(5 · -2) = -10

Step 3 : Put it all together amd simplify

6x² - 4x + 15x - 10

6x² + 11x - 10

Answer:

RT || AB

Step-by-step explanation:

The answer to your question is that segment RT is parallel to AB.

And for those of you who encounter AB || ?

The answer is RT.

Both questions are rewrites.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

R, S, and T are midpoints of AC, AB, and CB.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

A line is parallel to the right side if it divides any two triangles sides in a similar ratio.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

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The expectation value of \(\(r^{\wedge} 2\)\) is equal to \(\(r_{32}^2\)\).

To find the expectation value of \(\(r^{\wedge} 2\)\) for an electron in the hydrogen state described by the wave function \(\(\psi=\frac{1}{\sqrt{3}}\left(\psi_{322}+\Psi_{32-2}+\Psi_{321}\right)\)\), we need to calculate the integral\(\(\langle r^{\wedge} 2 \rangle = \langle \psi | r^{\wedge} 2 | \psi \rangle\)\), where\(\(r^{\wedge} 2\)\) is the operator corresponds to the square of the radial distance.

The expectation value can be expressed as \(\(\langle r^{\wedge} 2 \rangle = \int \psi^* r^{\wedge} 2 \psi \, dV\)\), where \(\(\psi^*\)\) is the complex conjugate of \(\(\psi\)\) and\(\(dV\)\) represents the volume element.

Since \(\(\psi\\)) is a linear combination of hydrogen wave functions\(\(\psi_{n l m}\)\), we can express\(\(\langle r^{\wedge} 2 \rangle\)\) as a sum of individual expectation values for each hydrogen wave function component. Let's calculate the expectation value for each component and then sum them up.

For a given hydrogen wave function \(\(\psi_{n l m}\)\), the expectation value of\(\(r^{\wedge} 2\)\) is given by\(\(\langle r^{\wedge} 2 \rangle_{n l m} = \langle \psi_{n l m} | r^{\wedge} 2 | \psi_{n l m} \rangle\).\)

Using the reduced matrix element\(\(r_{n l} = \langle n l | r | \psi \rangle\)\)(where \(| \psi \rangle\) represents the electron state), we can express \(\(\langle r^{\wedge} 2 \rangle_{n l m}\)\) as \(\(\langle r^{\wedge} 2 \rangle_{n l m} = r_{n l}^2\) since \(r^{\wedge} 2\)\) acts only on the radial part of the wave function.

Now, we can substitute the wave function \(\(\psi=\frac{1}{\sqrt{3}}\left(\psi_{322}+\Psi_{32-2}+\Psi_{321}\right)\)\) into the expectation value expression and calculate the sum of the individual expectation values:

\(\(\langle r^{\wedge} 2 \rangle = \frac{1}{3} \left( \langle r^{\wedge} 2 \rangle_{322} + \langle r^{\wedge} 2 \rangle_{32-2} + \langle r^{\wedge} 2 \rangle_{321} \right)\)\)

Substituting \(\(\langle r^{\wedge} 2 \rangle_{n l m} = r_{n l}^2\)\) for each component, we have:

\(\(\langle r^{\wedge} 2 \rangle = \frac{1}{3} \left( r_{32}^2 + r_{32}^2 + r_{32}^2 \right)\)\)

Since the reduced matrix element \(\(r_{n l}\)\) is the same for all components, we can simplify the expression to:

\(\(\langle r^{\wedge} 2 \rangle = r_{32}^2\)\)

Therefore, the expectation value of \(\(r^{\wedge} 2\)\) for the given electron state is equal to \(\(r_{32}^2\)\).

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Answer: 24

Step-by-step explanation: