A cylinderical timehas an intwrnal.dia of 18cm. It contains water to adepth of 13.2 cm. A heavy sphere ball bearing of

The total distance travelled by the object during the entire trip is 21.21 units and the average speed of the object for the entire trip is 21.21 units/unit time. Time = 21.21/Average Speed

It is known as the process of an object or particle changing its position over time. Motion can be described by equations of motion which allow us to predict and understand the motion of objects and particles in a variety of situations.

The given graph shows the motion of an object starting at point A (15, 5) and ending at point D (0, 30).

The total distance travelled by the object can be calculated using the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by the formula:

Distance = √((x2 – x1)² + (y2 – y1)²)

Therefore, the total distance travelled by the object in the graph is:

Distance = √((0 – 15)² + (30 – 5)²)

Distance = √(225 + 225)

Distance = √450

Distance = 21.21 units

The total time taken by the object to travel the given distance can be calculated using the equation:

Time = Distance/Speed

Since the speed of the object is not given, we can calculate the average speed of the object by dividing the total distance travelled by the total time taken.

Time = 21.21/Average Speed

Therefore, the average speed of the object for the entire trip can be calculated as:

Average Speed = 21.21/Time

The time taken by the object to travel the given distance is not given, so we can assume it to be 1 unit.

Therefore, the average speed of the object for the entire trip is:

Average Speed = 21.21/1

Average Speed = 21.21 units/unit time

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Answer:

5 feet.

Step-by-step explanation:

if we see that 3 feet is the model and 15 feet is the actual, we find the ratio is 3:15 or 1:5. since the width is 1 foot, then we see the actual is 5 feet long.

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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Answer:

4.5 centimeters

Step-by-step explanation:

For the triangle with area 144 square cm:

144 = (1/2)(6)x

144 = 3x, so x = 48 cm

So for the triangle with area 81 square cm:

(1/2)(x)(8x) = 81

4x^2 = 81

x^2 = 81/4 so x = 9/2 = 4.5 cm and

8x = 36 cm

Answer:

4.5

Step-by-step explanation:

The numerical value rounded off is 7, for the function f(t) = (1 - te-te-2) using Laplace Transform of the given function.

Function used for calculation:

\($$ L(f(t)) = L(1) - L(t) \cdot L(e^{-t}) \cdot L(e^{-2t}) $$\)

Applying Laplace Transform for

\($L(1)$, we get;$$ L(1) = \frac{1}{s} $$\)

Applying Laplace Transform for

\($L(t)$, we get;$$ L(t) = \frac{1}{s^2} $$\)

Applying Laplace Transform for

\($L(e^{-t})$, we get;$$ L(e^{-t}) = \frac{1}{s + 1} $$\)

Applying Laplace Transform for

\($L(e^{-2t})$, we get;$$ L(e^{-2t}) = \frac{1}{s + 2} $$\\\)

Substituting all these in our original equation of Laplace Transform, we get;

\($$ \begin{aligned} L(f(t)) &= L(1) - L(t) \cdot L(e^{-t}) \cdot L(e^{-2t}) \\ &= \frac{1}{s} - \frac{1}{s^2} \cdot \frac{1}{s + 1} \cdot \frac{1}{s + 2} \\ &= \frac{1}{s} - \frac{1}{s^2} \cdot \frac{1}{s^2 + 3s + 2} \end{aligned} $$\)

Therefore, we have

\($$ L(f(t)) = \frac{2s + 1}{s(s + 1)(s + 2)} $$\)

Now we have to find the value of 's' such that

\($$ L(f(t)) = \frac{2s + 1}{s(s + 1)(s + 2)} $$\)

So, we have \($$ s = 7 $$\)

Hence, the required value of s is 7 (rounded off to FOUR significant figures)

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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For the ratio of the average flux for e > 45 degrees to the omnidirectional flux, we divide the flux per solid angle for the directional case by the flux per solid angle for the omnidirectional case.

To find the ratio of the average flux for e > 45 degrees to the omnidirectional flux in a pancake distribution of sin(a) where a = 0, we need to calculate the directional flux, omnidirectional flux, directional solid angle, and omnidirectional solid angle.

Directional Flux:

The directional flux is the flux within a specific direction or range of angles. In this case, we are interested in e > 45 degrees.

Omnidirectional Flux:

The omnidirectional flux is the total flux in all directions or over the entire solid angle.

Directional Solid Angle:

The directional solid angle is the solid angle subtended by the specified direction or range of angles. In this case, it would be the solid angle corresponding to e > 45 degrees.

Omnidirectional Solid Angle:

The omnidirectional solid angle is the total solid angle subtended by all possible directions or over the entire sphere.

To find the flux per solid angle for both the directional and omnidirectional cases, we can use the formula:

Flux per Solid Angle = Total Flux / Solid Angle

Finally, to find the ratio of the average flux for e > 45 degrees to the omnidirectional flux, we divide the flux per solid angle for the directional case by the flux per solid angle for the omnidirectional case.

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Answer:

Ss={}

Step-by-step explanation:

6x^2+1<or=0

6x^2<or=-1

x^2<or=-1/6

x<or=root-1/6

There is no number that satisfiey this equation

SS={}

Answer:

no solution

Step-by-step explanation:

The percent of medical residents less than 28 years old is 69.15%.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 28

μ = mean = 27

σ = standard deviation = 2

z-score = (28 - 27) / 2

z-score = (1) / 2

z-score = 0.5

Find the probability that corresponds to the z-score in the z-table. (see attached images)

at z = 0.5,     p = 0.6915

Multiply the probability by 100 to get the percentage.

% = p x 100

% = 0.6915 x 100

% = 69.15

Hence, the percent of medical residents that are less than 28 years old is 69.15%.

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Correlation is a statistical measure of the relationship between two variables. It measures the strength of the association between two variables and can range from -1 to +1. There are three main types of correlations: positive, negative, and zero.

Positive correlation occurs when an increase in one variable leads to an increase in the other, and a decrease in one variable leads to a decrease in the other. An example of this would be the relationship between body weight and calorie intake; as body weight increases, calorie intake tends to increase as well.Negative correlation occurs when an increase in one variable leads to a decrease in the other, and a decrease in one variable leads to an increase in the other. An example of this would be the relationship between smoking and life expectancy; as smoking increases, life expectancy tends to decrease.

Zero correlation occurs when there is no linear relationship between two variables; they are not correlated at all. An example of this would be the relationship between gender and height; there is no linear relationship between the two variables, and so they are not correlated.

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Answer:D

a=4

Step-by-step explanation:

Answer:    0.185

Step-by-step explanation:

Divide 120.99 and 654:

120.99÷654=0.185

So the final answer is 0.185 units.

Answer:

m = 2

Step-by-step explanation:

3m / 4 = 12/8

6m / 8 = 12/8

48m = 96

m = 2

Hopefully this helped!

Brainliest please?

Answer:

7 nickels

20 dimes

5 quarters

Step-by-step explanation:

n=nickels. d=dimes. q=quarters

n+d+q=32

0.05n+0.1d+0.25q=3.60

d=8+n+q

Solve for number of dimes:

d-8=8-8+n+q

d-8=n+q

d-d-8=n+q-d

-8=n+q-d

  32=n+q+d

-  (-8=n+q-d)

32 - (-8) = n-n + q-q + d-(-d)

32 + 8 = d + d

40 = 2d

d = 20  => simplify

20=8+n+q  ==> substitute 20 for d (d=8+n+q)

20-8 = 8-8+n+q

n+q = 12

0.05n+0.1(20)+0.25q=3.60  ==> substitute 20 for d

0.05n + 2 + 0.25q = 3.60

(0.05n + 2 + 0.25q = 3.60)*100 ->remove the decimals by multiplying by 100

5n + 200 + 25q = 360

5n + 200 - 200 + 25q = 360 - 200

5n + 25q = 160

Solve for number of quarters:

(5n + 25q)/5 = 160/5  ==> simplify the equation

  n + 5q = 32

- (n + q = 12)

n-n + 5q-q = 32-12

0 + 4q = 20

4q = 20

q = 5  ==> simplify

Solve for number of nickels:

n+20+5=32  ==> plug in 20 for d and 5 for q  (n+d+q=32)

n+25=32

n+25-25=32-25  ==> solve for n

n=7 ==> simplify

n=7: 7 nickels

d = 20: 20 dimes

q = 5: 5 quarters

Given :

Sugar required for 2 1/2 = 5/2 dozen of cookies is 1 1/4 = 5/4 cups.

To Find :

How many cups of sugar does she need to make the cookies for her party.

Solution :

Let, cups of sugar required to make cookies for her party is x.

So,

\(x = \dfrac{\dfrac{5}{4}}{\dfrac{5}{2}}\\\\\\x = \dfrac{1}{2}\)

Therefore, 1/2 cup of cookies is required to make 1 dozen cookies.

Hence, this is the required solution.

Answer: 25/8

Step-by-step explanation:  

We would first turn 2 1/2 and 1 1/4 into an improper fraction.

That leaves us with 5/2 and 5/4.

Then, because she needs to make 5/2 dozen cookies and needs 5/4 cups of sugar for every batch, we would multiply 5/2 and 5/4 together.

Therefore x, or the amount of sugar she needs, is 25/8

The difference in the values of the two cars when they are each 7 years old is equal to $6,000.

In order to determine the difference in the values of the two cars, we would have to write an equation that models the price of the cars after a length of time, by using the data points shown in the graph above.

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

For Car A, we have:

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (9 - 12)/(4 - 2)

Slope, m = -3/2

Slope, m = -1.5

At point (4, 9), a linear equation for car's value can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

Substituting the given points into the formula, we have;

y - y₁ = m(x - x₁)

y - 9 = -1.5(x - 4)

y = -1.5x + 15

In 7 seven years, the value of Car A is given by:

y = -1.5x + 15

y = -1.5(7) + 15

y = $4,500

Note: The negative sign indicates that the value of the car is depreciating.

For Car B, we have:

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (10 - 18)/(5 - 1)

Slope, m = -8/4

Slope, m = -2

At point (5, 1), a linear equation for car's value can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

y - 1 = -2(x - 5)

y = -2x + 11

In 7 seven years, the value of Car B is given by:

y = -2x + 11

y = -2(7) + 3.5

y = $10,500

Now, we can determine the difference as follows:

Difference = $10,500 - $4,500

Difference = $6,000.

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Answer:

48+12usudududjdhdhdhsjdhxvdbxbx

Answer:

Find an answer to your question Evaluate the expression below when x = 4 and y = 4. 6x2 ___ y3.

Step-by-step explanation:

Answer:

the answer is 3rd option.

X=5.961 cm

No, the system is inconsistent.

Explanation:

1. Consistency in a system of linear equations means that there exists at least one solution that satisfies all the equations.

2. An augmented matrix is a matrix that represents the system of linear equations by arranging the coefficients and constants in a matrix form.

3. In the augmented matrix, the pivot columns are the columns that contain the leading non-zero entry in each row.

4. For a system of linear equations with a 3x5 augmented matrix, there can be at most 3 pivot columns since each row can have only one leading non-zero entry.

5. If the fifth column of the augmented matrix is not a pivot column, it means that there are only 4 pivot columns in total.

6. Having more variables than pivot columns implies that there are free variables that can take any value.

7. The presence of free variables leads to either no solution or an infinite number of solutions, depending on the specific values assigned to the free variables.

8. Since the system has more variables than pivot columns (4 instead of 5), it indicates the presence of free variables, resulting in either no solution or an infinite number of solutions.

9. Therefore, the system is not consistent.

In summary, the system is inconsistent because the fifth column of the augmented matrix is not a pivot column, indicating the presence of free variables and resulting in either no solution or an infinite number of solutions.

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Answer:

Step-by-step explanation:

Just took the test

F=PA

Answer: F=P/A

Step-by-step explanation:

Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.

To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.

Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:

Isotope Natural Abundance

Titanium-46 70%

Titanium-47 20%

Titanium-48 10%

To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.

Average Atomic Mass of Titanium:

(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)

=(32.2amu)+(9.4amu)+(4.8amu)

=46.4amu

Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).

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Step-by-step explanation:

The observed score in classical test theory represents an individual's raw score on a test or assessment without any adjustments or corrections.

In classical test theory, the observed score refers to the raw score obtained by an individual on a test or assessment.

It is a straightforward representation of the number of correct responses or points earned by the test taker.

The observed score does not take into account any measurement errors or variations that might have occurred during the testing process. It is a simple and direct reflection of the test taker's performance on the specific test at a given point in time.

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The estimated value of the machine after 4 years when the rate of depreciation dV/dt is inversely proportional to the square of t + 1 is $234,375.

Since the rate of depreciation is inversely proportional to the square of t + 1, we can write:

dV/dt = k / (t + 1)²

where k is the constant of proportionality. We can find k by using the initial value of the machine:

dV/dt = k / (t + 1)² = -100,000 / year when t = 0 (the first year)

Therefore, k = -100,000 * (1²) = -100,000.

To find the value of the machine after 4 years, we need to solve the differential equation:

dV/dt = -100,000 / (t + 1)

We can do this by separating variables and integrating:

∫dV / (V - 500,000) = ∫-100,000 dt / (t + 1)²

ln|V - 500,000| = 100,000 / (t + 1) + C

where C is the constant of integration.

We can find C by using the initial value of the machine:

ln|500,000 - 500,000| = 0 = 100,000 / (0 + 1) + C

Therefore, C = -100,000.

Substituting this value of C, we get:

ln|V - 500,000| = 100,000 / (t + 1) - 100,000

ln|V - 500,000| = -100,000 / (t + 1) + ln|e¹⁰|

ln|V - 500,000| = ln|e¹⁰ / (t + 1)²|

V - 500,000 = \(e^{10/(t + 1)²)}\)

V = \(e^{10/(t + 1)²)}\) + 500,000

Finally, we can estimate the value of the machine after 4 years by substituting t = 3:

V = \(e^{10/(3 + 1)²}\) + 500,000

V ≈ $234,375

Therefore, the correct answer is $234,375.

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Answer:

y = 1.5x + 5.5

Step-by-step explanation:

None of them are correct. The correct answer, y = 1.5x + 5.5, is not listed.

Answer:

Step-by-step explanation:

#8- No, because you cannot make equivalent fractions out of the two fractions.

#9- Cross Multiply: 3v=15, v=5

#10- Yes, equivalent fractions can be made out of these (For 8/3, multiple numerator and denominator by 10 to get fraction 80/30)

#11: Cross Multiply once more. 72=9v, v=8

1/\(\sqrt{3}\) is the exact trigonometric ratios for the angle x whose radian measure is given.

Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle. Trig ratios are therefore assessed in relation to sides and angles.

Trigonometric ratios, which contain the values of all trigonometric functions, are based on the ratio of sides of a right-angled triangle. The ratios of a right-angled triangle's sides with regard to a certain acute angle are known as its trigonometric ratios.

The right triangle's three sides are as follows:

sin(4π/3) = sin(π + π/3)

               = - sin(π/3)

               = - \(\sqrt{3}\)/2

CSC(4π )/3) = csc(π  + π /3)

               = - csc(π /3)

               = - 2/\(\sqrt{3\\\)

cos(4π /3) = cos(π  + π  /3)

               = - cos(π /3) = - 1/2

sec(4 π /3) = sec(π  + π/3)

               = - sec(π /3) = - 2

tan(4π )/3) = tan(π + π /3)

               = tan(π/3) = \(\sqrt{3}\)

Cot (4π/3 )= cot(π  + π/3)

              = Cot π/3 = 1/\(\sqrt{3}\)

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