Find the quotient, and write it in rectangular form 4 13+ i 23+ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression Type your answer in the form

Answer:

If we look at this spinner, we first need to find out how many letters there are in total.

There are 12 letters in total.

1.

For this question, they want us to find the probability of getting the letter 'R'.

We need to find how many letter 'R's there are.

There are 2 lettered 'R', out of the 12 letters.

So the probability of getting the letter 'R' is 2/12 which simplifies to 1/6.

2.

For this question, they want us to find the probability of getting the letter 'L'.

We need to find how many letter 'L's there are.

There are 3 lettered 'L's, out of the 12 letters.

So the probability of selecting the letter 'L' is 3/12 which simplifies to 1/4.

3.

For this question, they want us to find the probability of getting the letter 'B'.

We need to find how many letter 'B's there are.

There are 0 lettered 'B's, out of the 12 letters.

Therefore the probability of selecting the letter 'B' is impossible.

4.

For this question, they want us to find out which letter has the most likely chance of getting landed on.

In order to find this, we need to find one letter that is repeated a lot in this spinner, that way it is more likelier of getting that letter.

Let's look at each individual letter keeping the letters we've found so far to the side.

P(Z) = 4/12, which simplifies to 1/3.

P(S) = 1/12, which is already in simplest form.

P(F) = 2/12, which simplifies to 1/6.

Now let's compare all the probabilities for selecting each letter.

P(R) = 1/6

P(L) = 1/4

P(B) = impossible ← immediately eliminate this choice

P(Z) = 1/3

P(S) = 1/12

P(F) = 1/6

Now out of all of these probabilities, we can infer that the chances of getting the letter 'Z' is the most likeliest.

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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Answer:

1/3 chance for even 1/3 chance for odd

Answer:

Step-by-step explanation:

\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)

Two congruent triangles with the same orientation aligned with one above the other. The transformation is -

Option A: reflection over a horizontal line

What is reflection?

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

In the figure it is given that -

Both the triangles are equal and congruent to each other.

There is no change in the shape or size of both the images only the place of the image is changed.

One triangle is placed above the another.

This is done over a horizontal plane.

Therefore, the transformation is reflection over horizontal line.

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Answer:

8288288285

Step-by-step explanation:

777=644644644

999= 644644644*999/777

=

Answer: 828

Step-by-step explanation:

Answer:

I think answer is 149 by using Pythagoras theorem

Step-by-step explanation:

sinx= p/h

= 7/10

sinx= 0.7

maybe

Answer:

28.5

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

sorry if i'm wrong

A=pq

2=5·7

2=17.5

The response variable is the amount of tax, whereas the explanatory variable is whether the student believes global warming is a serious issue or not.

An explanatory variable is a variable that can influence another variable or cause changes in the response variable. It is the variable that is controlled or manipulated to study its effect on the dependent variable (response variable) and is an independent variable in statistical analysis. The response variable is a dependent variable or an output variable that changes based on the influence of other variables (explanatory variable).The researchers wanted to compare the mean response on gasoline taxes (the first question) for those who answer yes and for those who answer no to the second question. Therefore, the response variable is the amount of tax the student is willing to add to a gallon of gasoline. This response variable is an indication of how much students are willing to pay to mitigate global warming. On the other hand, the explanatory variable is whether the student believes that global warming is a serious issue or not. This variable will help determine if students' perception of global warming has any effect on their willingness to pay for mitigative measures.

In conclusion, the response variable in the given scenario is the amount of tax, while the explanatory variable is students' perception of global warming.

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Answer:

9.3 ft

Step-by-step explanation:

The area of the parallelogram formed by the vectors u and v is approximately 20.92 square units.

To find the area of the parallelogram formed by the vectors u = (4, 2, -1) and v = (1, 2, 4), we can use the cross product.

The cross product of two vectors u = (u1, u2, u3) and v = (v1, v2, v3) is given by the formula:

u × v = (u2v3 - u3v2, u3v1 - u1v3, u1v2 - u2v1)

In this case, substituting the given values:

u × v = (2 * 4 - (-1) * 2, (-1) * 1 - 4 * 4, 4 * 2 - 1 * 1)

     = (8 + 2, -1 - 16, 8 - 1)

     = (10, -17, 7)

The magnitude of the cross product gives us the area of the parallelogram:

Area = |u × v| = \(√(10^2 + (-17)^2 + 7^2) = √(100 + 289 + 49)\)= √438 ≈ 20.92

Therefore, the area of the parallelogram formed by the vectors u and v is approximately 20.92 square units.

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Answer:

A. 0+2i

Step-by-step explanation:

Plato (5/5 on test)

The relative frequency for students who scored a C is 0.47 (rounded to two decimal places).

Relative frequency is defined as the ratio of the number of times an event occurs in a given data set to the total number of trials in the data set.

It is represented as a fraction, decimal, or percentage. It assists in the evaluation of probability in statistics.

To solve this question, we need to add the scores of students who scored a C and divide it by the total number of students.

Given that 14 students scored an A, 30 students scored a B, 92 students scored a C, 38 students scored a D, and 26 students scored an F.

The total number of students who took the exam is:14 + 30 + 92 + 38 + 26 = 200

Thus, the relative frequency of students who scored a C is:92 / 200 = 0.46 (rounded to two decimal places) or 46% (percentage form).

Therefore, the answer to the question "what is the relative frequency for students who scored a c? round the final answer to two decimal places" is 0.47.

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Answer:

The mean is 46.

Step-by-step explanation:

To find the mean of these points add the values together. So that's one 40, two 41's, one 45, two 48's, three 49's and one 50.

40 + (2 * 41) + 45 + (2 * 48) + (3 * 49) + 50

Multiply what's in the parentheses.

40 + 82 + 45 + 96 + 147 + 50

Add, going from left to right

122 + 45 + 96 + 147 + 50

167 + 96 + 147 + 50

263 + 147 + 50

410 + 50

460

Now, divide that by how many dots there were (10).

460/10

The mean of the values in this dot plot is 46.

The probability of X being less than or equal to 100, given a lognormal distribution with μ=4.5 and σ=0.8, is calculated to be approximately 0.0003.

To calculate P(X≤100), we use the properties of the lognormal distribution with the given parameters μ=4.5 and σ=0.8. The lognormal distribution is characterized by its mean and standard deviation on the natural logarithmic scale.

First, we need to convert the value 100 to its natural logarithmic equivalent. Taking the natural logarithm of 100 gives ln(100) = 4.6052.

Next, we standardize the logarithmic value using the formula z = (ln(x) - μ) / σ. Plugging in the values, we get z = (4.6052 - 4.5) / 0.8 ≈ 0.1327.

Now, we need to find the probability corresponding to this standardized value. Using a standard normal distribution table or calculator, we can find that the probability associated with z = 0.1327 is approximately 0.0003.

Therefore, P(X≤100) is approximately 0.0003. This means that the probability of observing a value less than or equal to 100 from the lognormally distributed variable X is extremely small.

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Answer:

\(63.709feet\)

Step-by-step explanation:

Rosa is closer to fossil exhibit than shelter house.

The two points in the cartesian plane P(a, b) and Q(c, d) then the distance between P and Q is

PQ = √c-a )² + (d-b)²

The distance from Rosa to shelter house

d= √(-2-1)² + (-4 +1)²

d =√9 + 9

d = √18

d = 4.24

and, the distance from Rosa to fossil exhibit

d= √(3-1)² + (2+1)²

d =√4 + 9

d= √13

d= 3.6

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Answer:

38/5m

Step-by-step explanation:

Solution

= 2/5m - 4/5- 3/5

take 5 common in denominators

= 2-4+3/5

38/5m

Step-by-step explanation:

Subtract 2z2z from both sides of the equation.

x−2y+z=1x-2y+z=1

y=5−2zy=5-2z

x+y+3z=8x+y+3z=8

Replace all occurrences of yy with 5−2z5-2z in each equation.

x−2(5−2z)+z=1x-2(5-2z)+z=1

y=5−2zy=5-2z

x+5−2z+3z=8x+5-2z+3z=8

Simplify each equation.

x−10+5z=1x-10+5z=1

y=5−2zy=5-2z

x+5+z=8x+5+z=8

Move all terms not containing xx to the right side of the equation.

x=11−5zx=11-5z

y=5−2zy=5-2z

x+5+z=8x+5+z=8

Replace all occurrences of xx in x+5+z=8x+5+z=8 with 11−5z11-5z.

x=11−5zx=11-5z

y=5−2zy=5-2z

(11−5z)+5+z=8(11-5z)+5+z=8

Simplify (11−5z)+5+z(11-5z)+5+z.

x=11−5zx=11-5z

y=5−2zy=5-2z

−4z+16

Answer: (-9, 1, 4)

Step-by-step explanation:

its right on acellus

Answer:

1. k = y/x

k = 17/0.5

k = 34

2. k = y/x

k = 34/1

k = 34

3. k = y/x

k = 51/1.5

k = 34

4. k = y/x

k = 68/2

k = 34

CREDITS:

Answer:

answer is a

Step-by-step explanation:

u just look at 6 and 6.60 thats 1 and 10 every eraser but for 3 its 1.30

Answer:

a) \((a,b)\)

Given that \(a> 0\) and \(b > 0\), the point is located between the +x and +y semiaxes.

b) \((-a, b)\)

Given that \(-a < 0\) and \(b> 0\), the point is located between the -x and +y semiaxes.

c) \((a, -b)\)

Given that \(a > 0\) and \(-b< 0\), the point is located between the +x and -y semiaxes.

d) \((-a, -b)\)

Given that \(-a < 0\) and \(-b < 0\), the point is located between the -x and -y semiaxes.

Step-by-step explanation:

All points are represented in rectangular form, that is, numbers of the form \((x, y)\) and in which the following conditions are known:

1) If \(x < 0\), then the point is located in the -x semiaxis, otherwise it is located in the +x semiaxis.

2) If \(y < 0\), then the point is located in the -y semiaxis, otherwise it is located in the +y semiaxis.

Then, we proceed to analyze each case below:

a) \((a,b)\)

Given that \(a> 0\) and \(b > 0\), the point is located between the +x and +y semiaxes.

b) \((-a, b)\)

Given that \(-a < 0\) and \(b> 0\), the point is located between the -x and +y semiaxes.

c) \((a, -b)\)

Given that \(a > 0\) and \(-b< 0\), the point is located between the +x and -y semiaxes.

d) \((-a, -b)\)

Given that \(-a < 0\) and \(-b < 0\), the point is located between the -x and -y semiaxes.

Answer:

it is a not a function

Step-by-step explanation:

if you times 51 that's a hundred

The prime factorization of 9999 is 3 x 11 x 101, and it is significant in understanding divisors, prime factor applications, and cryptography.

The prime factorization of the number 9999 is 3 x 11 x 101. This means that 9999 can be expressed as the product of these prime numbers. In mathematics, prime factorization is the process of breaking down a composite number into its prime factors.

The significance of prime factorization lies in its fundamental role in number theory and various mathematical applications. Prime factorization helps in understanding the divisors and factors of a number. It provides insight into the unique combination of prime numbers that compose a given number.

In the case of 9999, its prime factorization can be used to determine its divisors. Any divisor of 9999 will be a product of the prime factors 3, 11, and 101. Furthermore, prime factorization is utilized in various mathematical algorithms and cryptographic systems, such as the RSA encryption algorithm, which relies on the difficulty of factoring large composite numbers into their prime factors.

In summary, the prime factorization of 9999 provides a way to express the number as a product of prime numbers and holds significance in understanding divisors, prime factor applications, and cryptography.

complete question should be  What is the prime factorization of the number 9999, and what is its significance in mathematics or number theory?  

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Carman buy the video game in the cost of $45.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Carman has saved 80% of the money she needs to buy a new video game.

And, she saved the cost $36.

Let total cost of the video game = x

So, We can formulate;

⇒ 80% of x = $36

⇒ 80/100 × x = 36

⇒ 8x = 360

⇒ x = $45

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Answer:

x=9-3y

Step-by-step explanation:

- Move the variable to the right & change its sign

3x + 9y = 27

- Divide both sides by 3

3x = 27 - 9y

- Write the solution x in parametric form

x=9-3y

- Solution:

x= 9-3y

Answer:

The Answer is d -3

Answer:

The Answer Would Be D. -3

The area of the triangle according to the information given in the  question is 17/8.

A triangle is a three-sided polygon that is also known as the trigon.

Angles in a triangle are formed by connecting the three sides end to end at a point.

Consider the following right-angled triangle, with vertices (0,-4), (0.0), and (1,0).

Its legs are 4 and 1 meters long, and its hypotenuse is 42+12=17 meters long.

The height "h" (altitude) of this triangle drawn to the hypotenuse is easily determined.

Based on the area, we get the equation (41)/2=(1/2)17h h=4/17 h=0.970143.

As we can see, it is not a single unit.

It means that the triangle's legs should be 17/4 as long as the original triangle's legs (1 unit and 4 units).

As a result, the area of the seeking triangle is (1/2)(17/4)(417/4) = (1/2)(17/4) =17/8

As a result, the area of the triangle in the question is 17/8.

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Answer:

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

We have intersecting secants here, use relevant theorem:

Apply it our question to obtain the following equation:

The circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle.

In geometry, the circumscribed circle or circumcircle of a polygon is a circle that passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.

Not every polygon has a circumscribed circle. A polygon that does have one is called a cyclic polygon, or sometimes a concyclic polygon because its vertices are concyclic. All triangles, all regular simple polygons, all rectangles, all isosceles trapezoids, and all right kites are cyclic.

A related notion is the one of a minimum bounding circle, which is the smallest circle that completely contains the polygon within it, if the circle's center is within the polygon. Every polygon has a unique minimum bounding circle, which may be constructed by a linear time algorithm.

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The given points, only the point (4, -9, -8) lies on line 1.

To determine whether certain points lie on the line 1, which is perpendicular to the plane x - 2y - 4z = 5 and contains the point (2, -5, 0), we can check if the coordinates of those points satisfy the equation of the line.

The direction vector of the line 1 is perpendicular to the plane and can be determined from the coefficients of x, y, and z in the plane equation. In this case, the direction vector of the line is (1, -2, -4).

Now, we can write the parametric equation of the line l as:

x = 2 + t * 1

y = -5 + t * (-2)

z = 0 + t * (-4)

To check if a point (x₀, y₀, z₀) lies on the line 1, we need to find a value of t that satisfies the parametric equations.

Let's consider the following points and determine if they lie on line 1:

Point (3, -6, -4)

To check if this point lies on line 1, we substitute the coordinates (x₀, y₀, z₀) = (3, -6, -4) into the parametric equations:

x₀ = 2 + t * 1 --> 3 = 2 + t --> t = 1

y₀ = -5 + t * (-2) --> -6 = -5 - 2 --> t = -1

z₀ = 0 + t * (-4) --> -4 = 0 - 4t --> t = 1

The value of t is not consistent across all equations, so the point (3, -6, -4) does not lie on line 1.

Point (2, -5, 0)

This point is given as the point that line 1 contains. Therefore, it lies on line 1.

Point (4, -9, -8)

To check if this point lies on line 1, we substitute the coordinates (x₀, y₀, z₀) = (4, -9, -8) into the parametric equations:

x₀ = 2 + t * 1 --> 4 = 2 + t --> t = 2

y₀ = -5 + t * (-2) --> -9 = -5 - 2t --> t = 2

z₀ = 0 + t * (-4) --> -8 = 0 - 8t --> t = 1

The value of t is consistent across all equations, so the point (4, -9, -8) lies on line 1.

Therefore, among the given points, only the point (4, -9, -8) lies on line 1.

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The complete question is:

Let l be the line perpendicular to the plane x - 2y - 4z = 5 and containing the point (2, -5, 0). determine whether the following points lie on line l.

Answer: I could be wrong the question is a little confusing to understand but I would say C: Phoenix 49%