Find the measure of angle f given the information below.

Answer: 8

Step-by-step explanation: I think I am right !?  Hope this helps!!

The equation to be solved is 2 cos 2x = -1 over the interval [0, 2x).Analytical solution: 2cos2x=-1, we can solve for cos2x as shown below: 2cos2x=-1 cos2x=-1/2 cos2x=-60° or 300°.But the problem is defined for the interval [0, 2x).

So we need to convert 300° to the corresponding angle in [0, 2x).300° is a reference angle, thus it is 60° beyond the end of 2x which is at 2x=240°. Hence, 300°=60°=360°-300°=120° is a corresponding angle in [0, 2x).Therefore, cos 2x = -1/2 for 2x = 60° or 120°.This gives the solutions of: 2x = 30° or 60°, or 2x = 60° or 120°.Thus, x = 15° or 30°, or x = 30° or 60°.

The solution set is: {15°, 30°, 60°}.Graphical solution: We have to solve the inequality 2cos2x-1<0over the interval [0, 2x).We first find the values of x that satisfy 2cos2x-1=0:2cos2x-1=0=>cos2x=1/2=>2x=60° or 300° => x=30° or 150°.These are the x values that make 2cos2x-1=0 and hence the function changes sign at these values. It changes from negative to positive at x=30° and from positive to negative at x=150°.

Thus, the solution of 2cos2x-1<0 is the interval between 30° and 150°, which is [30°, 150°).Thus, the solution set is x in [30°, 150°).The analytical and graphical solutions match.

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Answer: 2.4 UNITS

Step-by-step explanation:

The sine rule :

Sine A / a = Sine B / b = Sine C / c

From the diagram attached :

QR = s = 2.4 ; QS =r = 3.1 ; RS =q =?

We need to find the angle RQS

using Sine rule :

Sine R / r = Sine S / s

Sin 80° / 3.1 = sin S / 2.4

0.9848077 / 3.1 = sin S / 2.4

Sin S × 3.1 = 0.9848077 × 2.4

Sin S = 2.3635386 / 3.1

Sin S = 0.7624318

S = Sin^-1(0.7624318)

S = 49.67°

Therefore, form using ;

A + B + C = 180° ( SUM of angles in a triangle)

SQR = 180° - (QRS + QSR)

= 180° - ( 80 + 49.67)° = 50.33°

Q = 50.33°

THEREFORE,

Sine Q / q = Sin S / s

Sin 50.33° / q = Sin 49.67° / 2.4

0.7697339 / q = 0.7623295 / 2.4

0.7623295q = 0.7697339 × 2.4

q = 1.84736136 / 0.7623295

q = 2.4233108

q = Segment RS = 2.4units

Answer:

B) 2.5 is the right answer

Step-by-step explanation:

i got 100%

\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &10250\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=\textit{elapsed time}\dotfill &9\\ \end{cases} \\\\\\ A=10250(1 - 0.05)^{9}\implies A=10250(0.95)^9\implies A\approx 6460\)

transformed back from the Laplace domain to the time domain, results in an exponential decay with a polynomial term. The coefficient 13 represents the magnitude of the transformed function, while t³ represents the polynomial term, and e^(-t) represents the exponential decay.

To find the inverse Laplace transform of f(t) = 13(s+1)³, we first need to recognize that (s+1)³ corresponds to the Laplace transform of t³. According to the table of Laplace transforms, the inverse Laplace transform of (s+1)³ is t³. Multiplying this by the coefficient 13, we obtain 13t³.

The inverse Laplace transform of (s+1)³ is given by the formula:

L⁻¹{(s+1)³} = t³ * e^(-t)

Since the Laplace transform is a linear operator, we can apply it to each term in the expression for f(t). Thus, the inverse Laplace transform of f(t) = 13(s+1)³ is:

L⁻¹{13(s+1)³} = 13 * L⁻¹{(s+1)³} = 13 * t³ * e^(-t)

Therefore, the inverse transform of f(t) is 13t³e^(-t).

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Answer:

a) To determine the common difference of the sequence, subtract the 17th term (-10) from the 8th term (17) to get a common difference of 27.

b) To find the first term, subtract the common difference (27) from the 8th term (17) a total of 7 times to get the first term of -144.

17th term (-10)

- (common difference of 27)

- -144

c) To find the 77th term, take the first term (-144) and add the common difference (27) a total of 76 times to get the 77th term of 1062.

-144

+ (common difference of 27)

+ 1062

2. To find the number of multiples of 7 between 250 and 340, begin by finding the greatest multiple of 7 which is less than 250. This would be the multiple of 7 with the value of 245. Next, Find the least multiple of 7 between 250 and 340. This would be the multiple of 7 with the value of 336. Finally, to get the number of multiples of 7 between 250 and 340, subtract 245 from 336 and then add 1 to get the answer.

336 - 245 + 1 = 92

Step-by-step explanation:

Answer: (24)-2+8=6

Step-by-step explanation: good luck

The probability that neither of the marbles selected is blue is 12/21.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

In a bag of marbles, there are 10 blue marbles, 6 red marbles, and 5 green marbles.

Therefore, the total number of marbles in the bag is87:

= number of red marbles + blue marbles + green marbles

= 6 + 10 + 5

= 21

Now, two marbles are selected randomly without replacement.

So, the number of non-blue marbles is:

= number of red marbles + number of green marbles

= 6 + 5

= 11

Then, the probability that the two balls selected are not blue will be:

P( not blue ) = Number of non-blue marbles / Total number of balls in the bag

P( not blue ) = 12/21

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Bayes' rule, also known as Bayes' theorem or Bayes' law, is a mathematical formula used in probability theory and statistics. It provides a way to update our belief or probability of an event occurring, given new evidence.

The formula for Bayes' rule is:

P(A|B) = (P(B|A) * P(A)) / P(B)

where P(A|B) is the probability of event A occurring given that event B has occurred, P(B|A) is the probability of event B occurring given that event A has occurred, P(A) is the prior probability of event A occurring, and P(B) is the prior probability of event B occurring.

An example of how Bayes' rule can be used is in medical diagnosis.

Let's say a patient has a positive test result for a certain disease.

The probability of having the disease (event A) can be calculated using Bayes' rule, taking into account the sensitivity and specificity of the test.

The sensitivity is the probability of a positive test result given that the patient has the disease, and the specificity is the probability of a negative test result given that the patient does not have the disease.

By applying Bayes' rule, we can update the probability of having the disease based on the test result and the sensitivity and specificity values.

In short, Bayes' rule is a useful tool for updating probabilities based on new evidence. It is commonly used in various fields, including medicine, finance, and machine learning.

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The value of y when x is 1 is -2

Linear also interpretes as straight and a graph is a diagram which shows a connection or relation between two or more quantity.

We can also define straight graph which is drawn on a plane connecting the points on x and y coordinates. It is a graph of a linear equation.

To calculate any value of x or y we can use the graph to determine the value of x if y is given and the value of y if x is given

Therefore from the graph;

when x is 1 , the reading of y to the straight line is -2. Therefore the value of y is -2.

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Answer: The answer is No, it's not a scaled factor. That's my answer, you can figure it out why it's no.

Step-by-step explanation:

Therefore , the solution of the given problem of square comes out to be

RS= 3 √3/4 unit.

Euclidean geometry states that a square is a quadrilateral square has four equal sides plus four equal angles. A rectangle has two adjacent sides that are of the same length is another name for it. An equilateral quadrilateral is one that has a square as one of its four equal sides and four equal angles. A square angle is one that is 90 degrees or straight. The diagonals of the square are also split at a 90 degrees and are equally spaced. a rectangle next to it that has two sides of equal length. four equal-length sides and four right angles make up a quadrilateral. a parallelogram with a right angle formed by two neighboring, equal sides. rectangle with straight sides.

Here,

Given :

PQ⊥RS

=> c−a=b−d.1)

=> PQ=  3 √3/4

​=> PQ² = 27/16

​=> 1+(a−c)² =27/16

​

=> RS= √(b−d)² +1   (3)

=> By equation (1),(2)and (3)

RS= 3 √3/4

Therefore , the solution of the given problem of square comes out to be

RS= 3 √3/4 unit.

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​

​

If the mean of a statistic's sample distribution perfectly matches the actual value of the parameter being evaluated, the statistic is said to be unbiased. The population proportion p is best estimated objectively using the sample proportion (p hat) from an SRS.

If the expected value of an estimate for a given parameter is the same as the parameter's true value, the estimator is said to be impartial. To put it another way, an estimator is impartial if it generates parameter estimates that are generally accurate.

The mean of a sample taken from a population is calculated to produce a point estimate of the population mean. The mean is calculated by dividing the total sample values by the total number of values.

Hence we get the required answer.

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Answer:

\(\frac{6}{5}\)

Step-by-step explanation:

The slope is \(\frac{6}{5}\) because rise/run. You rise up on the graph 6 units, and run 5 units to the right (if the graph went to the left), then your slope would be negative.

Another way to double check this is using the slope formula: \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\).

(-3, -3) is x1, y1. & (2, 3) is x2, y2.

So, plugging that into the formula, we get:

\(\frac{3-(-3)}{2-(-3)}\) =  \(\frac{6}{5}\).

Hope that this helped. Have a good day! ☺

*Refresh page, if you cannot see the answer. If it still does not work, the answer is 6/5*

Trigonometry is the branch of mathematics that deals with the study of the relationships between the side lengths and angles of triangles.

It is a vital tool for understanding the physical world, as it is used to measure distances, angles and other properties of shapes. Trigonometry can be used for many purposes, such as surveying, navigation, and astronomy. It is a powerful mathematical tool that is used to solve problems involving the relationships between the side lengths and angles of triangles. It is also used in calculus and analytic geometry. Trigonometry is typically taught in high school and college courses, where students learn the formulas and rules of trigonometry in order to solve problems. At its core, trigonometry is the study of the relationships between the side lengths and angles of triangles and how these relationships can be used to solve problems.

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Answer:

8

Step-by-step explanation:

do 8÷1.6 that gives you 5

so then to get your bottom length do 5×5=25

so then do 1.6×5 and that gives you 8

Answer:

74 days. thanks me later lol nag check out

Answer:

What is 540 minutes or 9 hours spent practicing soccer

Step-by-step explanation:

90*6=540 minutes

540/60(minutes in 1 hour)

Please allow me to know if this helped you by rating and clicking thank you!  Miss Hawaii

Answer:

5:9

Step-by-step explanation:

100:180 can be simplified by dividing by 20, which results in the ratio 5:9

Answer:

1 : 1.8

Step-by-step explanation:

ratio of pigs : sheep = 100 : 180 ( divide both parts of the ratio by 100 )

= 1 : 1.8

Answer:

x = 4

Step-by-step explanation:

8x + 6x = 14x

14x + 14 = 5x + 50

14x - 5x = 50 - 14

9x = 36

x = 36/9

x = 4

Your cars average acceleration in that time is 12.21m/s^2

The given parameters are

Initial velocity, u = 8.9 m/s

Final velocity, v = 35.76 m/s

Time, t - 2.2 seconds

The average acceleration is calculated using

v = u + at

So, we have

35.76 = 8.9 + 2.2a

Evaluate the like terms

26.86 = 2.2a

Divide by 2.2

a = 12.21

Hence, your cars average acceleration in that time is 12.21m/s^2

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Using the distributive property to factorize the equation 3x² + 24x = 0, you get 3x(x + 8) = 0 and the solution of the equation is x = -8

The expression is given as:

3x² + 24x = 0

Factor out 3x

3x(x + 8) = 0

Divide both sides by 3x

x + 8 = 0

Subtract 8 from both sides

x = -8

Hence, the solution of the equation is x = -8

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Answer:

3x(x + 8) = 0 and x = -8

Step-by-step explanation:

It was correct for me

Answer:

4/7 has least common denominator

= 0.5( approx.)

Answer:

21 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

They are not similar.

Step-by-step explanation:

The angles of a triangle add up to be 180°. If they were similar, the triangle angles would have to be 60°, 40°, and 80°. Because one of the angles is 81°, the triangles cannot be similar.

81° + 40° + 60° does not equal 180.

Answer:

x = -4

Step-by-step explanation:

2(x−8)=x+5x

Distribute

2x - 16 = x+5x

Combine like terms

2x-16 = 6x

Subtract 2x from each side

2x-16 = 6x-2x

-16 = 4x

Divide by 4

-16/4 = 4x/4

-4 =x

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\(\sf{ }\)

Answer:

B

Step-by-step explanation:

For a set of data to have a median that is greater than the mean, it must have an odd number of values and be skewed to the right. This means that the majority of the values in the set must be smaller than the median, with a few larger values on the right side of the distribution.

Out of the given options, the only set of data that satisfies these conditions is (B) {8, 12, 14, 14, 22}. This set has an odd number of values, and the median of 14 is greater than the mean of 14.4. The other options have either an even number of values, or are not skewed to the right.

Therefore, the correct answer is (B) {8, 12, 14, 14, 22}.

Answer:

66.66%

Step-by-step explanation:

The first model is the one you should use here as 24 and 18 are multiples of 3, this means that there is eight students in each group

That means that 18/24 is equal to 2/3 so the percentage of students that like to dance is 66.66%

Answer:

Rational

Step-by-step explanation:

60 can be expressed as a ratio of two intergers, making it rational.

The rate of change of the annual u.s. factory sales in 2000 is 7.7 billion dollars per year

From the question, we have the following parameters that can be used in our computation:

s(t) = 0.12t² − t + 5.7

In 2000, we have the value of t to be

t = 2000 - 1990

Evaluate

t = 10

So, we have

s(10) = 0.12 * 10² − 10 + 5.7

Evaluate

s(10) = 7.7

Hence, the rate in 2000 is 7.7 billion dollars per year

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Question

the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year

Calculate the rate of change in 2000

Answer:

9 buses

12 cars

(Step-by-step explanation:

x=bus x+y=21 --> y=-x+21

30x+4y=318 --> y= -30x/4 + 318/4

y=car

x= 9

y=12

:) hope this help