answer the question below:

The nearest hundredth, we get:

C ≈ 12.56 feet.

Circle circumference (or perimeter) = 2R

where R denotes the circle's radius. 3.14 is the approximate (up to two decimal points) value of the mathematical constant. Again, Pi () is a special mathematical constant that represents the circumference to diameter ratio of any circle.

The circumference of a circle is calculated as follows:

C = 2πr

where C is the circumference, (pi) is a constant close to 3.14, and r is the radius of the circle.

When the given values are substituted, the following results are obtained:

C = 2(3.14)(2) \s= 12.56

We get the following when we round to the nearest hundredth:

C ≈ 12.56 feet.

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The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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Answer:

Step-by-step explanation:

You want values of ∆y and dy for y = x² -6x and x = 5, ∆x = dx = 0.5.

The value of dy is found by differentiating the function.

  y = x² -6x

  dy = (2x -6)dx

For x=5, dx=0.5, this is ...

  dy = (2·5 -6)(0.5) = (4)(0.5)

  dy = 2

The value of ∆y is the function difference ...

  ∆y = f(x +∆x) -f(x) . . . . . . . where y = f(x) = x² -6x

  ∆y = (5.5² -6(5.5)) -(5² -6·5)

  ∆y = (30.25 -33) -(25 -30) = -2.75 +5

  ∆y = 2.25

__

Additional comment

On the attached graph, ∆y is the difference between function values:

  ∆y = -2.75 -(-5) = 2.25

and dy is the difference between the linearized function value and the function value:

  dy = -3 -(-5) = 2.00

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Answer:

We consider:

T1 = 2s

T2 = 3s

T3 = 5s

We calculate the least common multiple of the Ts:

Ttot = 30 s.

During a seven minute dance the lights will come on at the same time:

7*60 s / 30 = 14 times.

In a span of 7 minutes, the lights will blink together 14 times.

LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.

Given, Joe was in charge of lights for a dance.

The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds.

∴ LCM of 2, 3, and 5 is 30 so the lights blink together after every 30 seconds.

So, in 7 minutes or (7×60) = 420 seconds the lights will blink together

(420/30) = (42/3) = 14 times.

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Answer:

1

Step-by-step explanation:

it is about 90 degree thats why

Answer:

x = 45

Step-by-step explanation:

180 = (2x + 45) + x

135 = 2x + x

135/3 = 3x/3

45 = x

Answer:

x = 45

Step-by-step explanation:

The 2 given angles are adjacent snd sum to 180° , then

2x + 45 + x = 180 , that is

3x + 45 = 180 ( subtract 45 from both sides )

3x = 135 ( divide both sides by 3 )

x = 45

Answer: A

Step-by-step explanation:

Answer:

A is correct

Step-by-step explanation:

9² + 12² = 15²

This would make a right triangle because 81+144=225

That's how the Pythagorean Theorem works for right triangles.

The lower bound of the confidence interval is 0.197 and the upper bound is 0.283. Therefore, we can say with 90% confidence that the true population proportion of people with kids is between 0.197 and 0.283. Both values are rounded to three decimal places.

To construct a 90% confidence interval for the true population proportion of people with kids, we need to use the sample proportion and sample size. The sample proportion is the number of people with kids divided by the total number of people sampled, which is 144/600 = 0.24. The sample size is 600.

Next, we need to calculate the standard error, which is the square root of (sample proportion x (1 - sample proportion) / sample size). Plugging in the values, we get:

SE = √(0.24 x 0.76 / 600) = 0.026

To find the margin of error, we multiply the standard error by the z-score corresponding to a 90% confidence level, which is 1.645. Therefore, the margin of error is:

ME = 1.645 x 0.026 = 0.043

Finally, we can construct the confidence interval by adding and subtracting the margin of error to the sample proportion:

p ± ME = 0.24 ± 0.043

The lower bound of the confidence interval is 0.197 and the upper bound is 0.283. Therefore, we can say with 90% confidence that the true population proportion of people with kids is between 0.197 and 0.283. Both values are rounded to three decimal places.

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The value of p3 for which the set s is linearly dependent is p3 = 1

To find the value of p3 for which s is linearly dependent, we need to find values of p3 such that at least one of the vectors in the set s can be written as a linear combination of the other vectors in the set.

Let's start by setting up the linear combination equation:

c1(t − t^2) + c2(t^2 − t^3) + c3(1 − t t^3) = 0

where c1, c2, and c3 are constants that represent the coefficients of the linear combination.

Next, we can expand the terms and group them by powers of t:

(c1 − c2)t^2 + (-c1 + c2 + c3)t + (c3) = 0

For this equation to have a non-trivial solution (i.e., not all c1, c2, and c3 are zero), the determinant of the coefficient matrix must be zero:

det

|1 -1 0|

|-1 1 1|

|0 -1 p3|

= 0

Expanding the determinant, we get:

1(1-p3) - (-1)(-p3) + 0(1) = 0

Simplifying this equation, we get:

p3 - 1 = 0

Therefore, the value of p3 for which the set s is linearly dependent is p3 = 1

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Answer:

add 2 to 13 thats 15 divided by 3 is 5

Step-by-step explanation:

Answer:

z > 1.5

Step-by-step explanation:

\(:\implies\sf\:2-\dfrac{x}{3}=6-x\)

Taking LCM in left side, we obtain

\(:\implies\sf\:\dfrac{6-x}{3}=6-x\)

\(:\implies\sf\:6-x=3(6-x)\)

\(:\implies\sf\:6-x=18-3x\)

\(:\implies\sf\:-x+3x=18-6\)

\(:\implies\sf\:2x=12\)

\(:\implies\sf\:x=\dfrac{12}{2}\)

\(:\implies\boxed{\bf{\orange{x=6}}}\)

Answer:

Y= -2x

Step-by-step explanation:

Answer:

Option 1.

3,619.1 m^3

Step-by-step explanation:

Mark as brainliest if this helped :D

The solution of a system of equations using elimination is x = 3 and y = 9. Hence option 3 is true.

Given that;

The system of equations,

- 3x + 2y = 9

x + y = 12

Now solve the system of equations using the elimination method

-3x + 2y = 9....... Equation 1

x + y = 12 .......... Equation 2

Multiply the 2nd equation with 3;

3x + 3y = 36  .... equation 3

Now, Add equation 3 and Equation 1;

5y = 45

y = 45/5

y = 9

From equation 2;

x + y = 12

x + 9 = 12

x = 12 - 9

x = 3

Therefore, the solution of a system of equations using elimination is x = 3 and y = 9. Hence option 3 is true.

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To solve the system of equations using elimination:

−3x + 2y = 9

x + y = 12

We can multiply the second equation by 3 to eliminate the x term:

(3)(x + y) = (3)(12)

This simplifies to:

3x + 3y = 36

Now, we can add the two equations together to eliminate the x term:

(-3x + 2y) + (3x + 3y) = 9 + 36

5y = 45

Next, we can solve this new equation for y:

5y = 45

y = 9

Now, we can substitute this value of y back into one of the original equations. Let's use the second equation:

x + y = 12

x + 9 = 12

x = 12 - 9

x = 3

Therefore, the solution to the system of equations is:

(x, y) = (3, 9)

So the correct answer is:

(3, 9)

In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.

Add to Start of List:

Singly Linked List: O(1)

Doubly Linked List: O(1)

Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.

This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.

Add to End of List:

Singly Linked List: O(n)

Doubly Linked List: O(1)

Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.

In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.

This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.

Add at Given Index:

Singly Linked List: O(n)

Doubly Linked List: O(n)

Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.

This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.

Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.

In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.

On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.

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Answer:

The question mark is 10. x is 2.

Step-by-step explanation:

The question mark is 10. Divide Both Sides by five. x=2.

Answer:

2/3 +2/3 = 5/0 THAT'S THE ASSWER

Answer:

3

Step-by-step explanation:

17.35 * 3

Among the given options, the most reasonable conclusion that can be made when a facility employs mostly healthcare workers certified by the Association of Safe Patient Handling Professionals (ASPHP) is:

a. The facility will save money from reduced employee injuries.

Certification by ASPHP indicates that the healthcare workers have received specialized training in safe patient handling techniques. This training aims to prevent injuries to both the healthcare workers and the patients. By employing certified workers, the facility can expect a reduction in employee injuries, leading to potential cost savings associated with workers' compensation claims, medical expenses, and lost productivity.

It is important to note that while this conclusion is likely, it does not guarantee that all injuries will be eliminated or that the facility will be completely injury-free. However, employing certified healthcare workers is a positive step towards promoting a safer working environment.

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Answer:

false

Step-by-step explanation:

The correct answer is option D: that the values of the data must fall within the 1% critical range of the curve in order to be significant.

An alpha level of α = .01 sets the threshold for statistical significance at the 1% level, meaning that the values of the data must fall within the critical range of the curve (which represents the distribution of the data) that includes the central 99% of the values in order to be deemed statistically significant.

An alpha level of α = .01 is a statistical significance level that is commonly used in research. It represents the probability of obtaining a result as extreme or more extreme than the observed result, assuming the null hypothesis is true. A significance level of α = .01 means that the researcher has set the critical value at 0.01 or 1%.

Therefore, for a statistical test to be considered significant, the p-value must be less than 0.01. In other words, the values of the data must fall within the 1% critical range of the curve in order to be significant.

It is important to set a significance level before conducting a statistical test as it helps to determine the level of confidence in the results obtained from the test.

The correct answer is option D: that the values of the data must fall within the 1% critical range of the curve in order to be significant

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For the given width length ratio and perimeter of rectangle, the length of rectangle is 80 cm.

The perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.

Let the width of the rectangle be 3x, and the length be 4x (since the ratio of the width to the length is 3:4).

The perimeter of a rectangle is the sum of the lengths of all four sides, so we have:

Perimeter = 2(length + width)

Substituting the expressions for the length and width, we get:

280cm = 2(4x + 3x)

Simplifying the right-hand side, we get:

280cm = 14x

Dividing both sides by 14, we get:

x = 20

Therefore, the length of the rectangle is 4x = 4(20) = 80 cm

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Answer:

The correct answer is G

Step-by-step explanation:

Lets choose a point: T( 2,3)

Now lets find the Slope: Run(x) = -4

Rise (y)= -9

So to get to Point T' from Point T, you myst go to the left 4 units and down 9 units.

Therefore, the correct answer is:

Answer:

70 degrees

Step-by-step explanation:

Answer:

Angle 1 is 70

Step-by-step explanation:

Because (angle 1 + 31=101) so 101-31= 70

Answer:

79,168.135

Step-by-step explanation:

Stronger evidence against the null hypothesis is indicated by: smaller p-values.

A statistical conjecture known as a null hypothesis asserts that certain features of a population or data-generating process are not different from one another.

A mechanism to reject the null hypothesis with a predetermined level of confidence is provided by hypothesis testing.

The alternative hypothesis is supported if the null hypothesis can be rejected.

The foundation of the scientific falsification principle is null hypothesis testing. The null hypothesis presupposes that any variation in the selected characteristics you observe in a set of data is the result of chance.

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