what is equivalent to (125^2/125^4/3)

Answer:

D

Step-by-step explanation:

ABCD is a cyclic quadrilateral

the opposite angles sum to 180° , then

x + 120° = 180° ( subtract 120° from both sides )

x = 60°

The different ways to arrange the pens for the horses and cows in the barn is,

''They could have six pens in each row, with room for people to walk around them. They could also have ten pens in each row, with room for the animals to move around.''

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

The planners of the county fair can arrange the pens for the horses and cows in the same barn in a few different ways. They could have six pens in each row, with room for people to walk around them. They could also have ten pens in each row, with room for the animals to move around.

Hence, The different ways to arrange the pens for the horses and cows in the barn is,

''They could have six pens in each row, with room for people to walk around them. They could also have ten pens in each row, with room for the animals to move around.''

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Answer:

$408.75

Step-by-step explanation:

25%=0.25

545*0.25=136.25

$545-$136.25=$408.75

Answer:

A flood

Step-by-step explanation:

Answer:

Annie is most likely to experience a flood.

Step-by-step explanation:

Her location is not specified beyond living near a river, therefore we cannot be sure of earthquakes, she does not live near a body of water large enough to cause a tsunami, and it did not specify that she was near a volcano therefore we make the assumption that she is not at risk for that.  Therefore, leaving a flood as our option.

Answer: 540 tiles are needed to tile a floor that is 36 feet by 15 feet.

Step-by-step explanation: You need to find the area of the floor. 36x15 is 540.

Answer:

Step-by-step explanation:

According to the diagram we observe:

As we know the exterior angle is same as the some of the remote interior angles.

It can be shown as:

Substitute the values and solve for x:

Find the measure of m∠ABC:

The matching answer choice is D.

Answer:

Step-by-step explanation:

80/16x5=25

Answer:

-12

Step-by-step explanation:

Distribute

20y+20-y=16y-16

Combine like terms

19y+20=16y-16

subtract 16y from 19y and subtract 20 from -16

3y=-36

Divide by 3

y=-12

The distance between Earth and the moon is 3.8 x 10^3 Kilometers. The time taken to travel this distance was 2.1 x 10^3 Minutes.

The formula to calculate speed is Speed = distance/time.

So, the speed of Luna I was 3.6 x 10^3 / 2.1 x 10^3 Kilometers/Mintues.

Answer:

Part a =

The distance between Earth and the moon is 3.8 x 10^5  kilometers. The time taken to travel this distance was 2.16 x 10^3 minutes.

The formula to calculate speed is speed = distance/time.

So, the speed of Luna I was 3.8 x 10^5/2.16 x 10^3  kilometers/meters.

Part b =

The expression from part A is 3.8 x 10^5/2.16 x 10^3 kilometers/meters. Break the expression into the product of two fractions, one fraction for the first factors and the other for the powers of 10.

3.8/2.16 x 10^5/10^3

Part c =

3.8/2.16 x 10^5/10^3

Using division, the value of the first fraction is 3.8/2.16 = 1.759 = 1.76.

Using the properties of exponents, the value of the second fraction is 10^5/10^3 = 10^5 x 10^-3 = 10^ 5 - 3 = 10^2.

3.8/2.16 x 10^5.10^3 = 1.76 x 10^2

Part d =

The value 1.76 x 10^2 is written in scientific notation. So, the average speed of Luna I was 1.76 x 10^2 kilometers/minute.

Step-by-step explanation:

Answer in bold. All edmentum answers :)

A residual plot alone does not provide a definitive answer about the appropriateness of the line of best fit. It should be used in conjunction with other diagnostic tools, such as examining the regression coefficients, goodness-of-fit measures (e.g., R-squared), and conducting hypothesis tests.

The residual plot is a graphical tool used to assess the appropriateness of the line of best fit or the regression model for the data. It helps to examine the distribution and patterns of the residuals, which are the differences between the observed data points and the predicted values from the regression model.

In a residual plot, the horizontal axis typically represents the independent variable or the predicted values, while the vertical axis represents the residuals. The residuals are plotted as points or dots, and their pattern can provide insights into the line of best fit.

To determine if the line of best fit is appropriate, you would generally look for the following characteristics in the residual plot:

Randomness: The residuals should appear randomly scattered around the horizontal axis. If there is a clear pattern or structure in the residuals, it suggests that the line of best fit is not capturing all the important information in the data.

Constant variance: The spread of the residuals should remain relatively constant across the range of predicted values. If the spread of the residuals systematically increases or decreases as the predicted values change, it indicates heteroscedasticity, which means the variability of the errors is not constant. This suggests that the line of best fit may not be appropriate for the data.

Zero mean: The residuals should have a mean value close to zero. If the residuals consistently deviate above or below zero, it suggests a systematic bias in the line of best fit.

It's important to note that a residual plot alone does not provide a definitive answer about the appropriateness of the line of best fit. It should be used in conjunction with other diagnostic tools, such as examining the regression coefficients, goodness-of-fit measures (e.g., R-squared), and conducting hypothesis tests.

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Yes, an angle in a right-angled triangle is always present.  Without any additional information about the triangle, it is impossible to determine the value of the angle in question.

In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.

To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.

For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.

If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.

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Answer:

Factor:

9x2 – 64

=(3x+8)(3x−8)

3x – 8

Answer:

Yes

Step-by-step explanation:

Yes

Answer:

50

Step-by-step explanation:

Answer:

The absolute value of x in that equation is 9. X is -9, and the absolute value of -9 is 9.

Answer:

15 cups

Step-by-step explanation:

60/4=15

Answer:

(C)

Step-by-step explanation:

2 power 2 = 4

3 power 2 = 9

4 power 2 = 16

The correct identification of the dependent variable and the independent variable for the experiment is valid experiment.

Independent variable: The variable that is being changed or manipulated in an experiment is called the independent variable. The experimenter modifies the independent variable to observe its effect on the dependent variable.

Dependent variable: The dependent variable is the variable that is being measured and observed in an experiment. It is dependent on the independent variable because it changes as a result of the manipulation of the independent variable.

Therefore, To carry out a valid experiment, it is crucial to accurately identify the dependent variable and independent variable.

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If a plane including pints p,q, and r cuts through the cube, the shape that will be gotten is a triangle.

A triangle is a polygon with three edges and three vertices. The sum of the internal angles of a triangle is equal to 180 degrees.

In this case, when a plane including pints p,q, and r cuts through the cube, the shape that will be gotten is a triangle.

The diagram is attached.

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The statement refers to anorexia nervosa and not bulimia nervosa. Therefore, the statement is FALSE.

Bulimia nervosa can be described as an eating disorder whereby an individual eats a lot of food without control and afterwards try to purge themselves to get rid of extra calories.

On the other hand, a similar eating disorder that is characterized with fear of being overfat but also follows with abnormal excessive weight loss is called anorexia nervosa.

Therefore, the statement refers to anorexia nervosa and not bulimia nervosa. Therefore, the statement is FALSE.

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For the intake of 1600 calories per day the grams of protein recommended is equal to 320 grams of protein.

As given in the question,

Total amount of calories intake per day is equal to 1600 calories per day

Percentage of protein from the intake of calorie is given as 20%

Grams of protein recommended per day as per given percentage

= 20% of 1600

= ( 20 / 100 ) × 1600

= 20 × 16

= 320 grams of protein per day

Therefore, the grams of protein per day recommended from the intake of 1600 calories per day is equal to 320 grams of protein.

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The value of y is 4√5 units

We know that the corresponding sides of the smilar triangles are in proportion.

From the attached diagram we can obaserve that there are three similar right triangles.

so, the sides of these right triangles must be in roprtion.

Let us assume that the smallest triangle is T1, the middle one is T2 and the largest one is T3.

consider right triangle T1.

Using Pythagoras theorem,

x = √(4² + 2²)

x = √(20)

x = 2√5 units

Consider triangles T3 and T2.

Using definition of similar triangles,

y/8 = x/4

Substitute above value of x.

y/8 = 2√5 / 4

y = 4√5

This is the required value of y.

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Answer:

unkown answer not correct evidence.

Step-by-step explanation:

Answer:

The price for 1 nail polish is $2.35

Step-by-step explanation:

Its correct I took the test.

Answer:

b. Contains four right angles.

Step-by-step explanation:

A parallelogram has two pairs of opposite sides that are both congruent and parallel, as does a rectangle.

A parallelogram usually does NOT have four right angles, but a rectangle does. b Contains four right angles is the difference between a parallelogram and a rectangle.

The diagonals of a parallelogram bisect each other, and so do the rectangle's diagonals.

The opposite angles of parallelograms are congruent, and all four angles of a rectangle are congruent, so this is a similar aspect of both a parallelogram and a rectangle.

Hope this helps!

a) Probability P[Y(1) < 0.25, 0.4 < Y(2) < 0.6, Y(3) > 0.8] = 0.25 * 0.2 * (1 - 0.8) = 0.25 * 0.2 * 0.2 = 0.01. b) Subtracting the CDF value at 0.4 from the CDF value at 0.6 gives us the desired probability.

a) To find the probability P[Y(1) < 0.25, 0.4 < Y(2) < 0.6, Y(3) > 0.8], we can use the independence property of the random variables.

Since Y1, Y2, Y3 are independent and uniformly distributed on (0, 1), we can calculate the probability of each event separately and then multiply them together.

The probability that Y(1) < 0.25 is simply 0.25, as Y(1) follows a uniform distribution.

The probability that 0.4 < Y(2) < 0.6 is the difference between the cumulative distribution functions (CDF) evaluated at 0.6 and 0.4. Since Y2 is uniformly distributed, the CDF is simply the difference between the two values: P[0.4 < Y(2) < 0.6] = 0.6 - 0.4 = 0.2.

The probability that Y(3) > 0.8 is 1 - P[Y(3) ≤ 0.8]. Since Y3 is uniformly distributed, P[Y(3) ≤ 0.8] is simply 0.8.

Now, we multiply these probabilities together: P[Y(1) < 0.25, 0.4 < Y(2) < 0.6, Y(3) > 0.8] = 0.25 * 0.2 * (1 - 0.8) = 0.25 * 0.2 * 0.2 = 0.01.

b) To find the probability P[0.4 < Y(2) < 0.6] for Y1, Y2, Y3 being independent and following a Beta(2, 1) distribution, we can use the properties of the Beta distribution.

The probability P[0.4 < Y(2) < 0.6] can be calculated by finding the difference between the cumulative distribution function (CDF) values at 0.6 and 0.4 for the Beta(2, 1) distribution.

Using a statistical software or tables for the Beta distribution, we can find the CDF values corresponding to 0.4 and 0.6 for the Beta(2, 1) distribution. Subtracting the CDF value at 0.4 from the CDF value at 0.6 gives us the desired probability.

Please note that the specific calculations for the Beta distribution require the use of numerical methods or software, as they involve integrating the Beta probability density function.

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(a) When \($\omega_1 = \omega_2$\), the power of the signal \($y(t) = A_1e^{j\omega_1t} + A_2e^{j\omega_1t}$\) is given by \($P = |A_1 + A_2|^2$\) and (b) When \($\omega_1 \neq \omega_2$\), the power of the signal \($y(t) = A_1e^{j\omega_1t} + A_2e^{j\omega_2t}$\) is given by \($P = |A_1|^2 + |A_2|^2$\).

To compute the power of the signal \($y(t) = A_1e^{j\omega_1t} + A_2e^{j\omega_2t}$\), where \($A_1$\) and \($A_2$\) are complex-valued constants, we need to calculate the average power over a period. The power of a complex-valued signal can be obtained by taking the magnitude squared of the signal. Let's compute the power for both cases:

(b) When \($\omega_1 \neq \omega_2$\):

The power of the signal is given by:

\(P = \lim_{T\to\infty} \frac{1}{T}\int_{-T/2}^{T/2} |y(t)|^2 dt \\= \lim_{T\to\infty} \frac{1}{T}\int_{-T/2}^{T/2} |A_1e^{j\omega_1t} + A_2e^{j\omega_2t}|^2 dt \\= \lim_{T\to\infty} \frac{1}{T}\int_{-T/2}^{T/2} (A_1e^{j\omega_1t} + A_2e^{j\omega_2t})(A_1^e^{-j\omega_1t} + A_2^e^{-j\omega_2t}) dt \\= \lim_{T\to\infty} \frac{1}{T}\int_{-T/2}^{T/2} (A_1A_1^ + A_2A_2^ + A_1A_2^*e^{j(\omega_2-\omega_1)t} + A_2A_1^e^{j(\omega_1-\omega_2)t}) dt \\)

Since the frequencies are different\(($\omega_1 \neq \omega_2$)\), the cross-terms involving the exponential functions will average to zero over a long time period. Thus, we have:

\(P = \lim_{T\to\infty} \frac{1}{T}\int_{-T/2}^{T/2} (A_1A_1^* + A_2A_2^) dt \\= |A_1|^2 + |A_2|^2\)

Therefore, when \($\omega_1 \neq \omega_2$\), the power of the signal \($y(t) = A_1e^{j\omega_1t} + A_2e^{j\omega_2t}$\) is given by \($P = |A_1|^2 + |A_2|^2$\).

Now, let's consider the case when \($\omega_1 = \omega_2$\).

(a) When \($\omega_1 = \omega_2$\):

The power of the signal is given by:

\(P = \lim_{T\to\infty} \frac{1}{T}\int_{-T/2}^{T/2} |y(t)|^2 dt \\= \lim_{T\to\infty} \frac{1}{T}\int_{-T/2}^{T/2} |A_1e^{j\omega_1t} + A_2e^{j\omega_1t}|^2 dt \\= \lim_{T\to\infty} \frac{1}{T}\int_{-T/2}^{T/2} |(A_1 + A_2)e^{j\omega_1t}|^2 dt \\= \lim_{T\to\infty} \frac{1}{T}\int_{-T/2}^{T/2} |(A_1 + A_2)|^2 dt \\= |A_1 + A_2|^2\)

Therefore, when \($\omega_1 = \omega_2$\), the power of the signal \($y(t) = A_1e^{j\omega_1t} + A_2e^{j\omega_1t}$\) is given by \($P = |A_1 + A_2|^2$\).

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The complete question:

Compute power of signal \($y(t) = A_1e^{j\omega_1t} + A_2e^{j\omega_2t}$\), where \($A_1$\) and \($A_2$\) are complex-valued constants.

(a) When \($\omega_1 = \omega_2$\):

(b) When \($\omega_1 \neq \omega_2$\):

Answer:

El piloto debe virar a 87.7° en la ciudad C para regresar a la ciudad A.

Step-by-step explanation:

Podemos encontrar el angulo que debe virar el piloto en la ciudad C para regresar a la ciudad A usando el Teorema del coseno:

\( (AC)^{2} = (AB)^{2} + (BC)^{2} - 2(AB)(BC)cos(50) \)

\( (AC)^{2} = (150 mi)^{2} + (100 mi)^{2} - 2(150 mi)(100 mi)cos(50) \)

\( (AC) = 115 mi \)

Ahora podemos encontrar el ángulo entre los puntos C y A (AC) usando la ley de los senos:

\( \frac{sin(50)}{AC} = \frac{sin(\alpha)}{AB} \)

\( \frac{sin(50)}{115 mi} = \frac{sin(\alpha)}{150 mi} \)

\( \alpha = 87.7 \)

Por lo tanto, el piloto debe virar a 87.7° en la ciudad C para regresar a la ciudad A.

Espero que te sea de utilidad!

El piloto debe virar con un ángulo de 61° 42' 12'' para regresar a la ciudad A.

Dado que un avión vuela desde la ciudad A hacia la ciudad B, a una distancia de 150 millas, y después vira con un ángulo de 50° y se dirige hacia la ciudad C, a una distancia de 100 millas, para determinar con que ángulo debe virar el piloto en la ciudad C para regresar a la ciudad A se debe realizar el siguiente cálculo, aplicando las teorías del seno y el coseno:

Por lo tanto, el piloto debe virar con un ángulo de 61° 42' 12'' para regresar a la ciudad A.

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Let's call the height of the building "h". We can use trigonometry to solve for "h" using the angle of elevation and the horizontal distance from the foot of the building to the point where the angle of elevation is measured.

In this case, we have a right triangle with the height of the building as one leg, the horizontal distance as the adjacent leg, and the angle of elevation as the angle opposite the height. So we can use the tangent function:

tan(60°) = h/55

Solving for "h", we get:

h = 55 tan(60°)

h ≈ 95.1

Rounded to the nearest tenth of a meter, the height of the building is approximately 95.1 meters.