What is the equation of the line through (−2, −2) and (4, −5)? A.y = 12 1 2 x – 1 B.y = –12 1 2 x – 3 C.y = 2x + 2 D.y = –2x – 6

Step-by-step explanation:

OK so your gonna add 6 and 11 then multiply it by 3, the height. then your gonna divide by 2

b. The matrix is invertible. The given matrix has 4 pivot positions. this is correct statement.

To determine if the matrix is invertible, we need to check if it is a square matrix and if its columns form a linearly independent set.

The given matrix is a square matrix, as it has the same number of rows and columns (4x4).

To check if its columns form a linearly independent set, we can perform row reduction or look for pivot positions. In this case, by observing the matrix, we can see that it has 4 pivot positions, which means that the columns form a linearly independent set.

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This is an example of a sample survey or a sampling method.

Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study. If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.

In the given scenario, you are conducting a sample survey to determine the proportion of each color of Peanut Butter M&Ms. A sample survey is a method used to collect data from a subset of a larger population in order to make inferences about the entire population.

Instead of counting every single Peanut Butter M&M in existence, which would be impractical and time-consuming, you decide to take a smaller representative sample. You purchase 10 packages of Peanut Butter M&Ms, each weighing 1.69 ounces, and count the number of M&Ms of each color in those packages.

By analyzing the data collected from this sample, you can estimate the proportion of each color of Peanut Butter M&Ms in the larger population. This approach is more feasible and provides a reasonable approximation of the overall distribution of colors without having to examine every individual item.

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Answer:

A: 55.5

Hoped this helped you! Please mark me brainiest if I am correct!

Answer:

The overbar indicates the digit repeats forever. It is worth remembering that

Your number is 3/9 = 1/3

Step-by-step explanation:

The area of the rectangle is increasing at a rate of 122cm²/s if the length of the rectangle is 11 cm and the width is 9 cm.

The area of a rectangle can be described as the product of the length and width of that rectangle, therefore;

Area = L × W

Here L represents length and W represents the width

Now by differentiating using the product rule;

dA/dt = (dL/dt)(W) + (dW/dt)(L)

As the length is 11 cm and the width is 9 cm and the length is increasing at a rate of 5 cm/s and its width is increasing at a rate of 7 cm/s; substituting these values in the equation;

dA/dt = (5)(9) + (7)(11)

dA/dt = 45 + 77

dA/dt = 122

Hence,  the area of the rectangle is increasing at the rate of 122cm²/s.

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Statistics suggest that if a robbery remains unsolved for a specific period of time, it is highly unlikely to be solved according to available data.

Based on statistical analysis, there is a critical time frame within which the chances of solving a robbery are significantly higher. While the exact duration may vary depending on various factors such as the nature of the crime, available evidence, investigative resources, and the efficiency of law enforcement agencies, data suggests that the probability of solving a robbery declines as time progresses. This could be attributed to factors like fading memories of witnesses, loss of crucial evidence, or the diversion of investigative efforts to other cases. Consequently, prompt and diligent investigative work is crucial for increasing the likelihood of solving a robbery before it becomes increasingly difficult to resolve.

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The speed of boat is 5/6 meter per second and height of boat is 50\(\sqrt{3}\) meter.

An angle is a shape created by two rays or lines that meet at the same terminal. The Latin word "angulus" (which means "corner") is where the term "angle" first appeared. The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean. The sign "" is used to denote angles. The Greek letter,,, etc. can be used to represent the angle between the two beams.

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

After solving the figure:

The speed of boat is 5/6 meter per second and height of boat is 50\(\sqrt{3}\) meter.

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The speed of the boat from point C to point B is approximately 10.82 meters per second.

What is speed ?

Speed is a measure of how fast an object is moving. It is the rate at which an object covers distance.

We can use trigonometry to solve for h and the speed of the boat. Let's start with h:

From the right triangle CLB, we have:

tan 30° = h / CB

where CB is the distance between points C and B, which is given as 50 meters. Solving for h, we get:

h = CB * tan 30° = 50 * tan 30° ≈ 28.87 meters

So the height of the lighthouse is approximately 28.87 meters.

Now let's find the speed of the boat. We know that the boat travels from point C to point B in 1 minute, which is equivalent to 60 seconds. Let's define the speed of the boat as v, in meters per second. Then we have:

v = CB / t

where t is the time it takes for the boat to travel from point C to point B. We can find t using the distance formula:

\(CB = \sqrt{(x_B - x_C)^2 + (y_B - y_C)^2\)

where x and y are the coordinates of each point. From the diagram, we can see that:

\(x_C = 0\)

\(y_C = 0\)

\(x_B = BL * cos \theta\)

\(y_B = BL * sin \theta\)

where BL is the distance from point B to the foot of the lighthouse, which is equal to h / tan θ. Therefore:

CB \(= \sqrt{((BL * cos \theta)^2 + (BL * sin \theta)^2)\)

     \(= \sqrt{(BL^2 * (cos^2 \theta + sin^2 \theta))\)

     \(= BL = h / tan \theta\)

Substituting the values we have found, we get:

v = CB / t = (h / tan θ) / 60 ≈ 10.82 meters per second

Therefore, the speed of the boat from point C to point B is approximately 10.82 meters per second.

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Answer: 5/16

Step-by-step explanation:

The number of outcomes with exactly 3 heads is given by (63) because we essentially want to know how many different ways we can take exactly 3 things from a total of 6 things. The value of this is 20. So the answer is 20/64=5/16.

Luke will drive for 9 hours while Priya will drive for 3 hours.

Driving is the controlled operation and movement of a vehicle, including cars, motorbikes, trucks, buses, and bicycles. Drivers must abide by the local traffic and road laws when driving on public roadways, which are only permitted when a number of requirements are met. The word "driving" has an etymology that dates back to the 15th century, and it has evolved as what driving has included has changed over time, from working animals in the 15th century to automobiles in the 1800s. Since the fifteenth century, driving has also demanded more advanced physical, mental, and safety abilities.

Let number of hours Priya travelled be x and number of hours Luke travelled  be 3x.

Now, Total hours travelled by Priya and Luke;

x+3x=12

x=3

Hence number of hours Priya travelled is 3 hours and Luke travelled for 9 hours.

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A graph has an Euler circuit if and only if every vertex in the graph has an even degree and the graph is connected.

In the given options, only graph (a) has every vertex with an even degree, which is two. Therefore, graph (a) has an Euler circuit.

In graph (b), vertex D has degree 3, which is odd, and therefore, it cannot have an Euler circuit. In graph (c), vertices A and E have degree 3, which is odd, and hence, it cannot have an Euler circuit. In graph (d), vertex E has degree 3, which is odd, and therefore, it cannot have an Euler circuit. Only graph (a) satisfies the conditions for an Euler circuit.

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it would be the last one bc it makes a little sense i guess

Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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Answer:

As BVC is similar to RJC

from BV/RJ=BC/RC=Y/8=13.5/9=108/9=12

Y=12

Answer:

121 voters.

Step-by-step explanation:

To answer this question, we need to find the expected number of students who will vote 9 years from now. To do this, we will apply the 10% decrease in voting every year.

Starting with 341 students who voted this year, we decrease the number of voters by 10% every year.

After 9 years, the number of voters would be:

341 * (1 - 0.10)^9 = 341 * 0.354813389233575594 = 121.05

So, it is expected that 121 students will vote 9 years from now. Rounding to the nearest whole number, we get 121.

Therefore, the answer is 121 students.

There are 121 voters expected to vote 9 years from now.

we need to determine the expected number of students who will vote 9 years from now. To do this, we will apply the 10% decrease in voting every year.

Starting with 341 students who voted this year, we decrease the number of voters by 10% every year.

After 9 years, the number of voters would be as;

341 x (1 - 0.10)^9

= 341 x 0.354813389233575594

= 121.05

So, it is expected that 121 students will vote 9 years from now. Rounding to the nearest whole number 121.

Therefore, the answer will be 121 students.

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Answer:

-2

Step-by-step explanation:

The solution to the system of equations is (45, –30)

The equations are given as:

y =-4/5x + 6

y = –30

Substitute y = –30  in y =-4/5x + 6

-30 =-4/5x + 6

Subtract 6 from both sides

-36 = -4/5x

Divide both sides by -4

9 = 1/5x

Multiply both sides by 5

x = 45

So, we have:

(x,y) = (45, –30)

Hence, the solution to the system of equations is (45, –30)

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Answer:

(45, –30)

Step-by-step explanation:

The number of ways to permute the letters 'a' through 'z' so that at least one of the strings "fish," "cat," or "rat" appears as a substring is 26! - 23!, where 26! represents the total number of permutations of all the letters from 'a' to 'z', and 23! represents the number of permutations where none of the given strings appear as substrings.

To calculate the number of ways to permute the letters 'a' through 'z' while ensuring that at least one of the strings "fish," "cat," or "rat" appears as a substring, we can subtract the number of permutations where none of these strings appear from the total number of permutations.

The total number of permutations of the 26 letters is given by 26!. However, this includes permutations where none of the given strings appear.

To find the number of permutations where none of the strings appear, we can consider them as distinct entities and calculate the number of permutations of the remaining 23 letters, which is represented by 23!.

Therefore, the number of ways to permute the letters 'a' through 'z' while ensuring that at least one of the strings "fish," "cat," or "rat" appears as a substring is 26! - 23!.

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Answer:

13 + 1 1/2 - 1/4

Step-by-step explanation:

1 gallons = 4 quarts

3 1/4 = 13/4 x 4 = 13

Quarts left = original quart + quart added - quart drunk

13 + 1 1/2 - 1/4

9515 1404 393

Answer:

  (d)  Reflexive Property of ≅; SSS

Step-by-step explanation:

There are no angles involved in the proof, so the SAS claims do not apply.

__

The symmetric property says ...

  if A ≅ B, then B ≅ A

The reflexive property says ...

  A ≅ A

In this case, the reflexive property is the one being invoked in the statement ...

  AC ≅ AC

That, together with the claims of line 3 concludes the claim that all three sides are congruent to their corresponding counterparts. Hence the SSS postulate applies.

Answer:

the amount of time it takes for approximately 50% of a radioactive atom sample to undergo nuclear decay

In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.

The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.

After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.

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Answer:

I think the answer is 9

=====================================================

Work Shown:

f(x) = x-7

f(4) = 4-7

f(4) = -3

We can see that f(4) and -3 are the same number. Because of this, we can replace f(4) with -3

This will have us go from g( f(4) ) to g( -3 )

Then we plug x = -3 into the g(x) function

g(x) = x^2

g(-3) = (-3)^2

g(-3) = 9 is the final answer

Again, since -3 and f(4) are the same thing, we can replace that '-3' in g(-3) to get

g( -3 ) = 9

g( f(4) ) = 9

-------------------

An alternative route:

g(x) = x^2

g( f(x) ) = ( f(x) )^2 .... replace every x with f(x)

g( f(x) ) = ( x-7 )^2 .... plug in f(x) = x-7 for the right hand side only

g( f(4) ) = ( 4-7 )^2 ... plug in x = 4

g( f(4) ) = (-3)^2

g( f(4) ) = 9

Answer:28

Step-by-step explanation:

Break it up! 6x3 is 18. Then 18 + 10 is 28 :P

Hope this helps :D

Answer:

P(spades) = 7/10

Step-by-step explanation:

there are 10 different cards that can be picked, out of which what we want to pick is spades which are 7. and so there are 7 chances that we will get to pick spades out of all the 10 possibilities. hope it is easy to understand

Answer:

c

Step-by-step explanation:

i took the test