What is the measure of angle C, m

Answer:a

Step-by-step explanation:

I don’t know

9

Step-by-step explanation:

15x+12=19x-24

15x-19x=-24-12

-4x=-36/÷(-4)

x=9

You first put all the x on one side and numbers on the other and be careful about + and - and then you divide by everything with the x so you have only the x left and you get the aswer.

Answer:

x=9

Step-by-step explanation:

Learned it in math class, hope this helps:)

The area of the sector will be 59.19 ft². The area of a circle's sector is the portion of the area encompassed inside the sector's perimeter.

The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.

The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.

The area of a circle is found as;

A = πr²

A = π(7.2 ft)²

A = 162.78 ft²

The area of the sector is the ratio of the provided slope to the angle of the complete circle which is similar to 2π;

\(\rm A_S= (162.78 )\times \frac{8\pi }{11 \times 2\pi} = 59.19 \ ft^2\)

Hence the area of the sector will be 59.19 ft².

To learn more about the area of the sector refer to the link;

https://brainly.com/question/1582027

The circumference of the circle is approximately 60.27 units.

We have,

To determine the circumference of the circle represented by the equation x² + y² + 6y - 67 = 2y - 6x, we first need to rearrange the equation into the standard form of a circle equation, which is (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle and r represents the radius.

Starting with the given equation:

x² + y² + 6y - 67 = 2y - 6x

Rearranging and grouping like terms:

x² + 6x + y² - 6y - 2y = 67

Combining like terms:

x² + 6x + y² - 8y = 67

To complete the square for the x-terms, we need to add (6/2)² = 9 to both sides and to complete the square for the y-terms, we need to add (-8/2)² = 16 to both sides:

x² + 6x + 9 + y² - 8y + 16 = 67 + 9 + 16

Simplifying:

(x + 3)² + (y - 4)² = 92

Now we can see that the equation is in the standard form of a circle equation, where the center of the circle is at the point (-3, 4) and the radius squared is 92.

Thus, the radius is the square root of 92, which is approximately 9.59.

The circumference of a circle is given by the formula C = 2πr, where r is the radius. Substituting the radius value into the formula, we have:

C = 2π(9.59) ≈ 60.27

Therefore,

The circumference of the circle is approximately 60.27 units.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ1

The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.

Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:

Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.

Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.

It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.

To learn more about superposition theorem visit : https://brainly.com/question/25329462

#SPJ11

Answer:

6

Step-by-step explanation:

1¾ can go into 10½ 6 times

just divide them

Answer:

Since -15/16 does not equal -16/15, the statement is verified/true.

Step-by-step explanation:

Plug in the numbers for the variable:

-3/4 ÷ 4/5 =/ 4/5 ÷ -3/4

Copy dot flip:

-3/4 × 5/4 =/ 4/5 × -4/3

Multiply numerators and denominators separately:

-3 × 5 / 4 × 4 =/ 4 × -4 / 5 × 3

-15 / 16 =/ -16/15

-15/16 =/ -16/15

-15/16 does not equal -16/15.

Answer:

The slope is:

\( \frac{5}{2} \)

The y-intercept is:

-3

Answer:

e = -3

Step-by-step explanation:

9e - 5 = 7e - 11

2e - 5 = - 11

      +5      +5

2e  = -6

2         2

e = -3

The lighthouse keeper should land approximately 3 miles from the point on the shore nearest to the lighthouse in order to make the fastest possible time to the restaurant.

To determine the fastest possible time for the lighthouse keeper to reach the restaurant, we need to calculate the time it takes for him to row to the shore and then walk to the restaurant. The key is to minimize the total time taken.

Let's denote the distance from the landing point to the restaurant as x miles. The time taken to row to the shore can be calculated as 7 miles divided by the rowing speed of 2.7 mph, which is approximately 2.59 hours.

The time taken to walk from the landing point to the restaurant can be calculated as (14 + x) miles divided by the walking speed of 4 mph.

To minimize the total time, we need to find the value of x that minimizes the sum of the rowing time and the walking time. So, we can set up the equation:

Total time = 2.59 hours + (14 + x) miles / 4 mph

To find the value of x that minimizes the total time, we can take the derivative of the equation with respect to x, set it equal to zero, and solve for x.

However, given that we are asked to round the answer to the nearest whole number, we can simplify the problem by considering the value of x that yields the smallest whole number total time.

By trying different values of x, we can find the value that minimizes the total time.

When x = 0, the total time is 2.59 + 14 / 4 = 6.59 hours.

When x = 1, the total time is 2.59 + 15 / 4 = 6.84 hours.

When x = 2, the total time is 2.59 + 16 / 4 = 7.09 hours.

Continuing this process, we find that the smallest whole number total time occurs when x = 3.

Therefore, the lighthouse keeper should land approximately 3 miles from the point on the shore nearest to the lighthouse in order to make the fastest possible time to the restaurant.

For more questions on total time, click on:

https://brainly.com/question/553636

#SPJ8

Answer:

C

Step-by-step explanation:

Answer:

b= a

60

Step-by-step explanation:

For the function F(x, y) = x³ + y³ - 3x² - 6y² - 9x ,  the local maximum value is 5 and the local minimum value is -3. The graph is discontinuous, so we cannot locate the saddle points.

In mathematics, a saddle point or minimax point is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions are all zero (a critical point), but which is not a local extremum of the function.

We have the following function -

F(x, y) = x³ + y³ - 3x² - 6y² - 9x

We will plot the 3 dimensional graph of this function. From the model it can be seen that, the local maximum value is 5 and the local minimum value is -3. Since the graph is discontinuous, we cannot locate the saddle points.

Therefore, for the function F(x, y) = x³ + y³ - 3x² - 6y² - 9x ,  the local maximum value is 5 and the local minimum value is -3. The graph is discontinuous, so we cannot locate the saddle points.

To solve more questions on saddle points, visit the link below-

https://brainly.com/question/18687565

#SPJ1

There is not enough information provided to determine if there is sufficient evidence at the 0.02 level to refute the publisher's claim. The null hypothesis is that proportion of readers owning a Rolls Royce is equal to 0.78 and alternative hypothesis is that proportion of readers owning a Rolls Royce is not equal to 0.78.

To determine if there is sufficient evidence at the 0.02 level to refute the newsletter publisher's claim that 78% of their readers own a Rolls Royce, we need to conduct a hypothesis test. Here are the null and alternative hypotheses for this scenario:

Null Hypothesis (H0): The proportion of readers who own a Rolls Royce is equal to 0.78 (P = 0.78)

Alternative Hypothesis (H1): The proportion of readers who own a Rolls Royce is not equal to 0.78 (P ≠ 0.78)

To test these hypotheses, follow these steps:

1. Collect a random sample of readers and record the number of Rolls Royce owners in the sample.

2. Calculate the sample proportion (p-hat) of Rolls Royce owners.

3. Calculate the test statistic using the formula: z = (p-hat - P) / sqrt(P * (1-P) / n), where P is the claimed proportion (0.78) and n is the sample size.

4. Determine the critical value for a two-tailed test at the 0.02 significance level (α = 0.02), which is approximately ±2.576 (from a z-table or calculator).

5. Compare the test statistic (z) to the critical value. If the test statistic is greater than or equal to the critical value or less than or equal to the negative critical value, reject the null hypothesis in favor of the alternative hypothesis. If not, fail to reject the null hypothesis.

Based on the results, you can determine if there is sufficient evidence to refute the publisher's claim at the 0.02 significance level. However, just based on the given information, there is not enough information to determine if there is sufficient evidence at the 0.02 level to refute the publisher's claim. We need the sample size.

Learn more about Null Hypothesis:

https://brainly.com/question/25263462

#SPJ11

If one angle in an isosceles triangle is 90 degrees then the measure of each angle of an isosceles triangle will be 45 degrees

What is an isosceles triangle ?

A triangle with two equal sides is said to be isosceles. Also equal are the two angles that face the two equal sides. In other terms, an isosceles triangle is a triangle with two sides that have the same length.

If the sides AB and AC of a triangle ABC are equal, then the triangle ABC is an isosceles triangle with B = C. "If the two sides of a triangle are congruent, then the angle opposite to them is likewise congruent," states the theorem that characterizes the isosceles triangle.

Since this triangle's two sides are equal, the base of the triangle is the side that is not equal.

As we know that in an isosceles triangle set of two angles are equal

And

we also know that sum of all the angles of a triangle is 180 degrees

So, According to the question

90 degrees + other angles =180 degrees

other angles = 90 degrees

one angle = 90/2

one angle = 45 degree  

Learn more about Isosceles triangle from the link below

brainly.com/question/2456591

#SPJ4

a a car accelerates, then maintains its speed before speeding up again

The mean, median, and mode of the given sample of scores (8, 7, 5, 7, 0, 10, 2, 4, 11, 7, 8, 7) are 6.25, 7, and 7, respectively.

To find the mean, we sum up all the scores and divide by the total number of scores. In this case, the sum of the scores is 78, and there are 12 scores. Dividing 78 by 12 gives us the mean of 6.25.

The median is the middle value of a dataset when arranged in ascending or descending order. To find the median, we first arrange the scores in ascending order: 0, 2, 4, 5, 7, 7, 7, 7, 8, 8, 10, 11. As there are 12 scores, the middle two values are 7 and 7. Therefore, the median is 7.

The mode is the value that appears most frequently in the dataset. In this case, the mode is 7 since it appears four times, more frequently than any other score.

In summary, the mean of the scores is 6.25, indicating the average value. The median is 7, representing the middle value when the scores are ordered. Lastly, the mode is 7, the value that appears most frequently in the dataset.

Learn more about  median here:

https://brainly.com/question/300591

#SPJ11

The number three was closest to the Incan civilization's epicenter. C is the best answer since Cusco functioned as the political, military, and administrative hub of the empire. Around the beginning of the 13th century, the Inca civilization evolved in the Peruvian highlands.

Archaeologists now think Pachacuti, the Inca monarch, used Machu Picchu as a private estate (1438–1472). It is sometimes referred to as the "Lost City of the Incas" and is the most well-known representation of the Inca civilisation. The Incas founded Cuzco, Peru, as their capital in the 12th century. They started their conquests in the early 15th century, and within a century, they had 12 million Andeans under their rule.The great Incan Empire was established in Cusco, Peru. Learn about the history, legends, and historical sites of the Inca dynasty. The names Cusco, Cuzco, and Qosqo have all been used to refer to this former Incan capital. Thus, option C is the best choice.

To know more about the Inca Empire,

brainly.com/question/814722

#SPJ4

Answer:

The answer is 6.403

Step-by-step explanation:

Using the pythagorean theorem, a^2+b^2=c^2, we can plug 4 units into a, and 5 units into b. Plugging these into the formula results in 4^2 + 5^2 = c^2. Simplifying, we get 16 + 25 = c^2. Simplifying even more, we get 41 = c^2. Using a calculator to get the square root of both sides results in c = 6.40312424.

After answering the given query, we can state that by the equation The correct response is therefore A. 2.5%.

A mathematical equation connects two statements and employs the one equals sign (=) to indicate equality. In mathematics, an equation is a mathematical assertion that proves the equality of a pair of mathematical equation For instance, in the equation 3x + 5 = 14, the corresponding equal symbol separates the numbers by a space. A mathematical formula can be used to determine how the two lines on either side of a letter relate to one another. The emblem and the particular piece of software are frequently identical. like, for instance, 2x - 4 = 2.

According to the empirical formula, only 5% of the space under the standard normal curve, or about 95% of it, is found in the two tails of the distribution. Since the two tails are equal, the area under the curve is contained in about 2.5% of each tail.

The correct response is therefore A. 2.5%.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The required equivalent function of the given function is \(S(t) = 100 * 288^t\).

To write the given function S(t) in the form of  \(S(t) = ab^t\), we need to express  \(9600(3)^t+2\)  as a single term with a base raised to the power of t.

Let's start by factoring out 9600 from the expression:

\(S(t) = 9600 * (3^t) + 2\)

Now, we can write 9600 as a product of two numbers a and b:

9600 = 100 * 96

So, we can rewrite S(t) as:

\(S(t) = (100 * 96) * (3^t) + 2\)

Now, we can group 96 and 3 together as the base is raised to the power of t:

\(S(t) = 100 * (96 * 3^t) + 2\)

Now, we have an equivalent function of the form S(t) = ab^t, where:

a = 100

b = 96 * 3 = 288

Therefore, the equivalent function is \(S(t) = 100 * 288^t\).

Learn more about function here:

https://brainly.com/question/24147610

#SPJ12

The acceleration produced by a car will decrease as its mass rises. Less acceleration will be recorded by the computer system, which will cause a drop in the acceleration value on the graph.

Graph:

An organized visual representation of any data in mathematics is called a graph. The graph shows the correlation between the variable values. In graph theory, a graph is used to represent the collection of objects that are somehow connected to one another. In essence, the objects' vertices or nodes are mathematical concepts, and the connections between the nodes are represented by the edges. Different types of graphs are used in mathematics and statistics to visually display data. The discipline of graph theory is the study of points and lines. It is a field of mathematics that specializes in the study of graphs. This image visually illustrates the mathematical truth. The graph theory is used to study relationships.

Complete question:

Use the image to answer the question. Students are using the experimental setup shown in the image in which the two ends of a string are attached to a car and to a hanger. The students conduct three trials in which they place metal discs on the hanger to manipulate the force applied to the car. As a result, the car accelerates along the table while two photogate probes collect motion data. On the fourth trial of this experiment, a student places some discs on the car by mistake. In 1-2 sentences, explain how this mistake will affect the graphs produced by the computer.

To learn more about graph visit: https://brainly.com/question/17267403

#SPJ9

There are 17,576,000 possible license plates consisting of 3 letters followed by 4 digits.

Fundamental Counting Principles:

The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation.

When something can be done m different ways and n different ways,

there are then \(m*n\) ways to accomplish both.

Based on the given information, since the letters and digits may be repeated, there are:

26 ways to fill in the first letter

26 ways to fill in the second letter

26 ways to fill in the third letter

10 ways to fill in the first digit

10 ways to fill in the second digit

10 ways to fill in the third digit and

1 way to fill in the first digit (as the last digit end with 5)

Thus, by Fundamental Principle of Counting, there are 17,576,000 possible license plates.

26 x 26 x 26 x 10 x 10 x 10 x 1  = 17,576,000

Learn more about counting principle here: brainly.com/question/16050707

#SPJ1

The vertex focus of the parabola is (3,15) and the directrix is x=3.

1. Rewrite the equation in the form y = a(x - h)^2 + k

y = x^2 - 6x + 15

y = 1(x - 3)^2 + 15

2. The vertex focus is (h, k) = (3, 15)

3. The directrix is x = h = 3

By rewriting the equation in the form of y = a(x - h)^2 + k, we can find the vertex focus and directrix of the parabola. The vertex focus of a parabola is the point at which the graph changes direction, and is equal to (h, k). The directrix is the line at which the vertex focus is located, and is equal to x = h. For this equation, h = 3 and k = 15, so the vertex focus is (3, 15) and the directrix is x = 3.

Learn more about vertex here

https://brainly.com/question/29030495

#SPJ4

Recall that to determine if a table represents a probability distribution, the sum of the probabilities must add up to 1, and all the probabilities have to be positive numbers less or equal to 1.

Now, notice that:

From the table, we notice that all the given probabilities are positive numbers between 0 and 1. Therefore, we can conclude that the given table represents a probability distribution.

Yes, it is a probability distribution.

Each board must be within how many inches of 15 is l' actual = (15±0.03) inch, l" actual = (15±0.03) inch.

size is the quantification of attributes of an item or occasion, which can be used to evaluate other objects or occasions. In other words, measurement is a system of figuring out how massive or small a bodily amount is compared to a primary reference quantity of the identical kind.

size is the simple idea inside the have a look at of arithmetic and technology. measurement quantifies the traits of an object or occasion, which we can compare with other things or activities. measurement is the most commonly used word, on every occasion we address the department of an amount. dimension gear makes our lives higher and more secure, and they enhance the best and quantity of lifestyles. measurement is a contrast of an unknown quantity with a known fixed amount of the equal kind. The cost received on measuring a quantity is referred to as its value. The value of a quantity is expressed as numbers in its unit.

To learn more about measurement visit here:

brainly.com/question/2107310

#SPJ4

The sum of the arithmetic series in this problem is given as follows:

S = -112.

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the explicit formula presented as follows:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term of the arithmetic sequence.

The sum of the first n terms is given by the equation presented as follows:

\(S_n = \frac{n(a_1 + a_n)}{2}\)

The rule for this problem is given as follows:

\(a_n = 4 - 4n\)

The first and the last term are given as follows:

Hence the sum of the eight terms is given as follows:

S = 8 x (0 - 28)/2

S = -112.

More can be learned about arithmetic series at https://brainly.com/question/6561461

#SPJ1

The length of the movie screen at the local cinema is 37188552  feet.

Let's assume the width of the rectangle movie screen is represented by 'w' feet. According to the given information, the length of the screen is 303030 feet longer than the width. Therefore, the length can be expressed as 'w + 303030' feet.

The perimeter of a rectangle is given by the formula: 2(length + width). In this case, the perimeter of the movie screen is 148148148 feet. We can set up the equation as follows:

2(w + (w + 303030)) = 148148148.

Simplifying the equation, we have:

2(2w + 303030) = 148148148.

4w + 606060 = 148148148.

4w = 147542088.

Dividing both sides by 4, we get:

w = 36885522.

Therefore, the width of the screen is 36885522 feet. Since the length is 303030 feet longer than the width, we can calculate the length as:

Length = Width + 303030 = 36885522 + 303030 = 37188552 feet.

Hence, the length of the movie screen is 37188552  feet.

Learn more about rectangle here:

https://brainly.com/question/15019502

#SPJ11

Answer:

1) 1 * 10^5    2) 3.5 * 10^3

Step-by-step explanation:

Tristan flies the plane at a speed of 493 mph when there is no wind.

To solve this problem, we can use the formula:

distance = rate x time

Let's start by finding Tristan's speed when flying against the headwind. We know that the distance he covers is 3795 miles and the wind speed is 7 mph. Let's assume his speed without the wind is x mph. Then his speed against the wind is (x - 7) mph. Using the formula, we can write:

3795 = (x - 7) * t1

where t1 is the time it takes to fly 3795 miles against the headwind.

Next, let's find his speed when flying with the wind. We know that the distance he covers is the same (3795 miles), but this time it takes him 14 hours less. So the time it takes to fly with the wind is t1 - 14. His speed with the wind is (x + 7) mph. Using the formula again, we can write:

3795 = (x + 7) * (t1 - 14)

Now we have two equations with two unknowns (x and t1). We can solve for x by eliminating t1. Let's start by expanding the second equation:

3795 = x*t1 + 7*t1 - 14x - 98

Add 14x to both sides:

14x + 3795 = x*t1 + 7*t1 - 98

Add 98 to both sides:

14x + 3893 = x*t1 + 7*t1

Substitute t1 from the first equation:

14x + 3893 = (x - 7)*t1 + 7*t1

14x + 3893 = x*t1 - 7*t1 + 7*t1

14x + 3893 = x*t1

Now we have a single equation with x and t1. We can substitute t1 from the first equation again:

14x + 3893 = x * (3795/(x-7))

Simplify by multiplying both sides by (x-7):

14x(x-7) + 3893(x-7) = 3795x

Expand and simplify:

14x^2 - 98x + 3893x - 27251 = 3795x

Subtract 3795x from both sides:

14x^2 - 6722x - 27251 = 0

Now we can solve for x using the quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac))/(2a)

where a = 14, b = -6722, and c = -27251. Plugging in the values, we get:

x = (6722 +/- sqrt(6722^2 + 4*14*27251))/(2*14)

x = (6722 +/- sqrt(45619268))/28

x = (6722 +/- 6742)/28

So x can be either 481 or 493. We need to choose the positive value because Tristan's speed can't be negative. Therefore, the answer is: 493.

To learn more about equations  click here

brainly.com/question/29657983

#SPJ11