Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (3 x) degrees. Measure of angle C = (4 x) degrees. Which statement is true about the angles? Measure of angle A = 20 degrees Measure of angle B = 60 degrees Angle A and Angle B are complementary Measure of angle A + measure of angle C = 100 degrees

\(\boxed{275.67+3(16.32)+24.39+27.40x \leq 560}\\\\27.40x +349.02 \leq 560\\\\27.40x \leq 210.98\\\\x \leq 7.7\)

Rounding down yields \(\boxed{x \leq 7}\).

Answer:

Step-by-step explanation:

560

Answer: \(112\)\(x^{6}\)\(y^{6}\)

Step-by-step explanation: −1434(−432)−1434(−432)

−1434(−432)−1434(−432)-14x^{3}y^{4}(-4x^{3}y^{2})-14x^{3}y^{4 (-4x^{3}y^{2})

−14x3y4(−4x3y2)−14x3y4(−4x3y2)−1434(−432)−1434(−432)

− 1 4 3 4 ( − 4 ) 3 2 − 1 4 3 4 ( − 4 3 2 ) {\color{#c92786}{-14}}x^{3}y^{4}({\color{#c92786}{-4}})x^{3}y^{2}-14x^{3}y^{4}(-4x^{3}y^{2}) −14x3y4(−4)x3y2−14x3y4(−4x3y2) 5 6 3 4 3 2 − 1 4 3 4 ( − 4 3 2 )

563432−1434(−432)56{\color{#c92786}{x^{3}}}y^{4}{\color{#c92786}{x^{3}}}y^{2}-14x^{3}y^{4}(-4x^{3}y^{2})56x3y4x3y2−14x3y4(−4x3y2)56642−1434(−432)

The missing value in the given fraction is 108.

For the given question;

The numbers are-

Let the missing number be x.

3/54 and 6/x

As the fraction are equal, equating both.

3/54 = 6/x

Cross-multiplying the values.

3x = 6×54

3x = 324

x = 324/3

x = 108

Thus, the missing value of the fraction is found as 108.

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The complete question is-

The fractions are given in the equal ratios, find the missing term.

3/54 and 6/?

Answer:

$26.60

Step-by-step explanation:

Given that cot(0) = 4/3 and theta is in Quadrant I, what is sin(theta)?

we have that

If angle theta is in quadrant I , then the value of sin(theta) is positive

Remember that

tan(theta)=1/cot(theta)

so

tan(theta)=3/4

substitute in the expression above

is positive because is quadrant I

remember that

sec(theta)=1/cos(theta)

so

cos(theta)=4/5

tan(theta)=3/4

tan(theta)=sin(theta)/cos(theta)

substitute given values

3/4=sin(theta)/(4/5)

sin(theta)=(3/4)*(4/5)=3/5

the answer is

Answer:

The ramp is safe.

The unknown angle measure is, (\(23.6\))

Step-by-step explanation:

Assume that the ground makes a (90) degree angle with the wall. This means that the formed triangle is a right triangle. Thus, one can use the right angle trigonometric ratios. These ratios are the following,

\(sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\)

The hypotenuse is the side opposite the right angle of a right triangle. This side's name doesn't change. However, the (opposite) and (adjacent) sides change names based on the angle one is using to describe them in the ratio.

In this case, one is given the side opposite to an angle, as well as the hypotenuse. However, one isn't given the measure of the angle. Thus, one should use the ratio of sine (sin) to find the unknown side. Let theta (\(\theta\)) represent the measure of the unknown angle.

\(sin(\theta)=\frac{opposite}{hypotenuse}\)

Substitute,

\(sin(\theta)=\frac{2}{5}\)

Inverse operations,

\(\theta=sin^-1(\frac{2}{5})\)

Simplify,

\(\theta=23.578178\)

Since the value of (\(\theta\)) is less than (30) degrees, the ramp can be used safely.

Z-score of given data comes to be -5.30.

It is given that

Population mean μ= 310

Standard deviation σ= 20

Mean of sample data X= 295

Sample size n= 50

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

For a hypothesis test

Z-score = (X-μ)/(σ/√n)

Where, X = observed value

μ= mean

σ = standard deviation

n =sample size

Z-score of above data = (295-310)/(20/√50)

Z-score = -5.30

Therefore, Z-score of given data comes to be -5.30.

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Answer:

first one: y = 5x+5

second: y = -4x -4

Step-by-step explanation:

to find slope intercept, you need 2 things:

Slope

Y intercept

Slope is rise/run (as taught in elementary school) and the y intercept is the place where the line intersects the Y axis

To find the Y axis, replace X with 0

Y = (slope)x + (y intercept)

Y = (5-0)/(0-(-1))x + (y intercept)

Y = 5x + (y intercept)

If you look at the graph, at X = 0, Y= 5

Therefore, Y=5x+5

Answer:

x=-\(\frac{3+-\sqrt{41} }{8}\)

Step-by-step explanation:

We can use the quadratic formula here. We then plug in the values.

The action of each investor is indicated based on the given scenario, as follows:

Action     Scenario

1. Sell      Anita wants to sell since the price of the investment is getting higher, though, with some risk of dropping soon.

2. Buy     Steve is much more interested in purchasing more investments than just holding or selling, as he wants to add to his investments.

3. Sell     Pat wants to sell by liquidating non-performing assets.

4. Hold   Imran will be holding her investments as she is undecided yet.

5. Buy    Anya is acquiring or buying investments in a flourishing company.

Thus, the actions of the investors depend on the presented scenarios.  The correct actions are matched with the appropriate scenarios.

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Answer:

1. Sell  

Anita wants to sell since the price of the investment is getting higher, though, with some risk of dropping soon.

2. Buy

Steve is much more interested in purchasing more investments than just holding or selling, as he wants to add to his investments.

3. Sell

Pat wants to sell by liquidating non-performing assets.

4. Hold

Imran will be holding her investments as she is undecided yet.

5. Buy

Anya is acquiring or buying investments in a flourishing company.

Thus, the actions of the investors depend on the presented scenarios.  The correct actions are matched with the appropriate scenarios.

Thus, the df between subjects is 5. This represents the variation between the individual subjects in the study, which helps in determining if the treatment effects are statistically significant or if the differences are due to random chance.

In a two-factor analysis of variance, the dfbetween subjects refer to the degrees of freedom associated with the differences between the group means. In this particular scenario where there are six subjects who each underwent three treatments, we can calculate the dfbetween subjects for each factor separately.

For the first factor (treatment), we have three levels. Therefore, the dfbetween subjects would be equal to the number of treatments minus one, which is 2.
For the second factor (subjects), we have six subjects. Therefore, the dfbetween subjects would be equal to the number of subjects minus one, which is 5.

To calculate df between subjects, you will use the following formula:

df between subjects = (number of subjects - 1)

In this case, there are six subjects, so the formula becomes:

df between subjects = (6 - 1)

Hence, the df between subjects is 5. This represents the variation between the individual subjects in the study, which helps in determining if the treatment effects are statistically significant or if the differences are due to random chance.

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The values obtained after solving the given equation is x  = 6 and y = 10.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the information given in the question,

The given equations are,

-5x + 3y = 0   (i)

7x - 4y = 2    (ii)

Multiply equation (i) by -7 and equation (ii) by 5.

35x - 21y = 0       (iii)

35x - 20y = 10       (iv)  

Now, solve the equation for y, because 35x in positive and 35x in negative cancel out each other.

-y = -10

y = 10

Substitute y = 10 in equation (i)

-5x + 3(10) = 0

-5x = -30

x = 30/6

x = 5

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Answer:

5d + 3c = x

Step by step explanation:

5 oranges so 5d

3 cherries so 3c

According to the figure the value of B is

The value of B is solved using the principles of segments of chords secants and tangents

The principle is such that

10^2 = 5 * (5 + b)

100 = 25 + 5b

gathering like terms

5b = 100 - 25

5b = 75

isolating b

b = 75 / 5

b = 15

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Answer:

B?

Step-by-step explanation:

Answer:

C) m = n

Step-by-step explanation:

Trust me bro!!!

Answer:

-6/-8

Step-by-step explanation:

63. "Adrenopathy" is the correct term for any disease of the adrenal gland.

64. Corporeal. 65. Thyropathy 66. Isletoma 67. Adrenergic 68.  Islet-related 69. Goiter 70. Thyrotropic 71. Somatic 72. Gonadotropic

63. Adrenopathy: The correct word parts to form the term that describes any disease of the adrenal gland are "adreno-" and "-pathy." The prefix "adreno-" refers to the adrenal gland, and the suffix "-pathy" indicates a disease or disorder.

64. Corporeal: To describe something pertaining to the body, the correct word part is "corpor-" which means body. By adding the suffix "-eal" meaning pertaining to, we form the term "corporeal" which means relating to the body.

65. Thyropathy: When combining the word parts for a disease of the thyroid gland, we use "thyro-" to refer to the thyroid gland and "-pathy" to indicate a disease or disorder. Thus, "thyropathy" is the term that describes any disease of the thyroid gland.

66. Isletoma: A tumor of the pancreatic islets can be described using the word parts "islet-" referring to the pancreatic islets and "-oma" which signifies a tumor. Therefore, "isletoma" is the appropriate term for a tumor of the pancreatic islets.

67. Adrenergic: To indicate something that is activated by epinephrine, the correct word part is "adreno-" referring to the adrenal gland, and the suffix "-ergic" indicating activation or stimulation by a substance. Thus, "adrenergic" describes something that is activated by epinephrine.

68. Islet-related: The word part "islet-" refers to the pancreatic islets. To describe something pertaining to the pancreatic islets, we can use the suffix "-related." Therefore, "islet-related" is the correct term for something pertaining to the pancreatic islets.

69. Goiter: Enlargement of the thyroid is commonly referred to as a "goiter." In this case, the specific word parts from the bank are not used to form the term.

70. Thyrotropic: When we want to describe something that acts on the thyroid, the appropriate word parts are "thyro-" for the thyroid gland and the suffix "-tropic" indicating an agent that acts upon or influences something. Thus, "thyrotropic" is the correct term for something acting on the thyroid.

71. Somatic: To describe something that acts on the body, the word part "somato-" is used, which refers to the body. Therefore, "somatic" is the term that describes something acting on the body.

72. Gonadotropic: The word part "gonado-" is used to refer to the reproductive organs. When we want to describe something that acts on the reproductive organs, the suffix "-tropic" is used, indicating an agent that acts upon or influences something. Therefore, "gonadotropic" is the correct term for something acting on the reproductive organs.

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Answer:

x=−6

Step-by-step explanation:

4x−5=x−23

Step 1: Subtract x from both sides.

4x−5−x=x−23−x

3x−5=−23

Step 2: Add 5 to both sides.

3x−5+5=−23+5

3x=−18

Step 3: Divide both sides by 3.

3x /3=-18/3

x=-6

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

The rational numbers are -100, -14.5, -2, -2/3, 0,10, 15, 20 1/6.are rational.

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

We have,

-100, -14.5, -2, -2/3, 0, 19, 15, 20, 1/6

-100 = -100/1

It is in the form of p/q.

It is a rational number.

-14.5 = -145/10

It is in the form of p/q.

It is a rational number.

-2 = -2/1

It is in the form of p/q.

It is a rational number.

-2/3 = -2/3

It is in the form of p/q.

It is a rational number.

0 = 0/1

It is in the form of p/q.

It is a rational number.

19 = 19/1

It is in the form of p/q.

It is a rational number.

15 = 15/1

It is in the form of p/q.

It is a rational number.

20 = 20/1

It is in the form of p/q.

It is a rational number.

1/6

It is in the form of p/q.

It is a rational number.

We see that all the numbers given are rational numbers.

Thus,

The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.

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Answer:

7

Step-by-step explanation:

10-3=7

A segment MN has endpoints M(-7.-6) and N(7,7). Find the coordinates of partition point P that divides the segment into a 5:2 ratio. ​

___________________________

Find the coordinates of partition point P that divides the segment into a 5:2 ratio. ​

5:2 means that it is divided into 7, and we do not move two positions from (7,7)

X axis

7- (-7) = 14

14/7 = 2

7-2*2 = 3

Y axis

7-(-6)= 13

13/7 =

7 - 2* (13/7) = 49/7 - 26/ 7 = 23/7 = 3 2/7

______________________________

Answer

(3, 3 2/7)

In a Lineweaver-Burk plot, the 1/Y-intercept represents the reciprocal of the maximum velocity (1/Vmax) of the enzyme-catalyzed reaction. The 1/X-intercept represents the negative reciprocal of the Michaelis constant (1/Km) for the substrate.

In a Lineweaver-Burk plot, the 1/Y-intercept represents the reciprocal of the maximum velocity (1/Vmax) of the enzyme-catalyzed reaction being studied, while the 1/X-intercept represents the negative reciprocal of the Michaelis constant (1/Km) for the substrate.

The Lineweaver-Burk plot is a linear transformation of the Michaelis-Menten equation, which relates the initial reaction rate (v0) of an enzyme-catalyzed reaction to the substrate concentration ([S]):

v0 = (Vmax [S]) / (Km + [S])

Taking the reciprocal of both sides of the equation, we get:

1/v0 = (Km/Vmax) (1/[S]) + 1/Vmax

This equation has the same form as the equation of a straight line y = mx + b, where y = 1/v0, x = 1/[S], m = Km/Vmax, and b = 1/Vmax. Therefore, plotting 1/v0 against 1/[S] on a Lineweaver-Burk plot produces a straight line with a slope of Km/Vmax and a y-intercept of 1/Vmax.

Taking the reciprocal of the slope, we get:

1/(Km/Vmax) = Vmax/Km

which is equal to the 1/X-intercept of the Lineweaver-Burk plot. Similarly, taking the reciprocal of the y-intercept, we get:

1/(1/Vmax) = Vmax

which is equal to the 1/Y-intercept of the Lineweaver-Burk plot.

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It appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).

Here, we have,

given that,

min t_i

x₁ = x₂-u

x₂ = u

-1 ≤ u ≤ 1, (x₁, x₂) are arbitrary starting point.

and origin  (0,0) be the begging of the coordinate.

also given that, (x₁, x₂)→ (0,0)

so, min t_i at origin (0,0) = t

Therefore, the generality condition of the situation does not met.

so, we get,

The given system can be represented by the following equations:

x₁' = x₂ - u

x₂' = u

To analyze the behavior of the system, we can examine the dynamics of each variable separately.

For x₁:

x₁' = x₂ - u

The equation implies that the rate of change of x₁ is dependent on x₂ and the input u. The term (-u) acts as a control input that can affect the dynamics of x₁. If we choose an appropriate control input u, we can manipulate the rate of change of x₁ and potentially minimize the time required to reach the origin.

For x₂:

x₂' = u

The equation for x₂ indicates that the rate of change of x₂ is solely determined by the input u. The variable x₂ can be directly controlled by the input u, allowing us to influence its behavior and potentially expedite convergence.

Based on the given equations, it appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).

By carefully selecting the control input, it is possible to achieve the shortest time to reach the origin from any arbitrary starting point (x₁, x₂).

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Answer:

Yes

Step-by-step explanation:

Triangle inequality theorem states that a triangle can exist if

a + b > c; a + c > b; b + c > a

a = 2; b = 10; c = 11

2 + 10 = 12; 12 > 11.

2 + 11 = 13; 13 > 10.

10 + 11 = 21; 21 > 2.

Based on the information provided, the company can demonstrate that Cp exceeds 1.33 at the 95% level of confidence. To determine the level of confidence that would give a one-sided lower confidence limit on Cp exceeding 1.33, further information is required.

a. To demonstrate that Cp exceeds 1.33 at the 95% level of confidence, the company needs to construct a confidence interval for Cp and check if the lower bound of the interval is greater than 1.33. Since the sample size is 50, the point estimate of Cp can be calculated using the sample data. By using statistical techniques and formulas for process capability analysis, the company can calculate the confidence interval for Cp. If the lower bound of the interval is greater than 1.33, the company can demonstrate that Cp exceeds 1.33 at the 95% confidence level.

b. To determine the level of confidence that would give a one-sided lower confidence limit on Cp exceeding 1.33, the specific data on the point estimate and standard deviation of Cp is needed. With that information, statistical calculations can be performed to find the level of confidence at which the lower confidence limit on Cp exceeds 1.33. The level of confidence would depend on the specific values of the point estimate and standard deviation.

Without the specific data and calculations, it is not possible to provide a precise level of confidence for the one-sided lower confidence limit on Cp exceeding 1.33. The calculations would need to be performed based on the available data to determine the appropriate level of confidence.

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The approximate standard deviation of returns of U.S. common stocks during the period between 1900 and 2017 is 20%.

Standard deviation is a measure of how much the returns of a particular asset, in this case U.S. common stocks, vary from the average return. It is a measure of the risk associated with investing in the asset.

According to data from the NYU Stern School of Business, the average annual return of U.S. common stocks between 1900 and 2017 was 11.44%, with a standard deviation of 20.00%. This means that the returns of U.S. common stocks during this period varied, on average, by 20% from the average return of 11.44%.

It is important to note that this is an approximate value, as the exact standard deviation may vary slightly depending on the data source and calculation method used.

However, it provides a good estimate of the risk associated with investing in U.S. common stocks during this time period.

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Answer:

b) X3=0+3-x

it should help you answer a

Answer:

Step-by-step explanation:

The volume of water in a pool can be calculated using the following formula:

Volume (in gallons) = Length (in feet) x Width (in feet) x Average Depth (in feet) x 7.5

For example, if your pool is 20 feet long, 15 feet wide, and has an average depth of 5 feet, the volume of water in your pool would be:

20 x 15 x 5 x 7.5 = 5625 gallons

Note: If you prefer metric units, the formula for volume in liters would be:

Volume (in liters) = Length (in meters) x Width (in meters) x Average Depth (in meters) x 1000

It's important to note that this formula assumes a standard rectangular or square pool shape. If your pool has a more complex shape, you may need to measure the volume in smaller sections and add the volumes together to get the total volume.

Answer:

B

Step-by-step explanation:

8f=10

f=1 1/4