What is m∠BXF? Please show all work.

the required equation is 5x - 6y + 5z = 7

Given that;

points : (1, 4,4) and (-4, 1,2).

mid point : ( [(1-4)/2], [(4-1)/2], [(4+2)/2]

⇒ midpoint : ( -3/2, 3/2, 3 )  

                       x₀    y₀    z₀

Direction vector n = [-4-(1)], [  1-4], [ 2-4]

⇒ Direction vector n = < -5, -3, -2 >

General equation plane : n(x-x₀, y-y₀, z-z₀) = 0

so we substitute

⇒ (-5,-3,-2) (x-3/2, y-(-2), z-(-5/2) ) = 0

⇒ (-5,-3,-2) (x - 3/2, y + 2, z + 5/2) ) = 0

⇒ 5(x - 3/2) - 6(y + 2 ) + 5(z + 5/2) = 0

⇒ 5x - 15/2 - 6y - 12 + 5z + 25/2 = 0

⇒ 5x - 6y + 5z = 15/2 + 12 - 25/2

⇒ 5x - 6y + 5z = 7

Therefore, the required equation is 5x - 6y + 5z = 7

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Answer: The Answer is 72

Step-by-step explanation:

It is quite easy if you think about it.

first you must find the rule and the pattern.

Once you find that just multiply 18 by how much of a difference there is.

The difference is 4. You must add 4.

The equivalent equation for the expression y = 3x-6 is none.

Equivalent equation:

If the two equations are said to be equivalent when they have the same solution set. Then it is called as Equivalent equation.

Given,

Here we have the expression y = 3x-6

Now, we need to find the equivalent equation.

In order to find the equivalent equation, we have to take some sample values for x,

The sample value of x as 1, 2, 3

Now, we have to apply these values on the given expression first,

Then we get,

x = 1 => y = 3(1) - 6 = -3

x = 2 => y = 3(2) - 6 = 0

x = 3 => y = 3(3) -6 = 9

Now, we have to apply these to the given equation and which has the same value of the given expression,

x = 1 => 3(1) - 2y = 6 = -2y = 6 - 3 => y = -3/2

x = 2 => 3(2) - 2y = 6 = -2y = 6 - 6 => y = 0

x = 3 => 3(3) - 2y = 6 = -2y = 6 - 9 => y = 3/2

This is not equal one.

Move on to the second one,

x = 1 => 2(1) + 3y = -6 => 3y = -6 - 2 => y = -8/3

x = 2 =>  2(2) + 3y = -6 = 3y = -6 - 4 => y = -10/3

x = 3 =>  2(3) + 3y = -6 = 3y = -6 - 6 => y = -4

This is not a equivalent one.

Move on to the third expression,

x = 1 => 3(1) - 2y = 12 = -2y = 12 - 3 => y = -9/2

x = 2 => 3(2) - 2y = 12 = -2y = 12 - 6 => y = -3

x = 3 => 3(3) - 2y = 12 = -2y = 12 - 9 => y = -3/2

This is not a equivalent one.

Finally we have to use the last one, then  we get,

x = 1 => 2(1) - 3y = 18 => -3y = 18 - 2 => y = -16/3

x = 2 =>  2(2) - 3y = 18 => -3y = 18 - 4 => y = -14/3

x = 3 =>  2(3) - 3y = 18 => -3y = 18 - 6 => y = -4

Therefore, none of them are the equivalent one.

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No, the simple digraph with 3 vertices and in-degrees 0, 1, 2, and out-degrees 0, 1, 2 respectively does not exist, while the simple digraph with 3 vertices and in-degrees 1, 1, 1, and out-degrees 1, 1, 1 does exist.

What is digraph?

A digraph is a directed graph where each edge has a direction associated with it. In-degrees refer to the number of edges pointing into a vertex, while out-degrees refer to the number of edges pointing out of a vertex.

For the first case, having in-degrees of 0, 1, 2, and out-degrees of 0, 1, 2 for the three vertices is not possible. The sum of in-degrees must equal the sum of out-degrees in a digraph. However, in this case, the sum of in-degrees is 3 while the sum of out-degrees is 3, which does not match. Therefore, such a digraph does not exist.

For the second case, a simple digraph with in-degrees of 1, 1, 1, and out-degrees of 1, 1, 1 is possible. Each vertex has exactly one incoming edge and one outgoing edge, forming a cycle among the three vertices. This configuration satisfies the condition of a simple digraph, where each vertex has the same in-degree and out-degree.

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A unit of measurement which is equal to one thousands meters is known as one kilometers.

Therefore, the given units of measurement equal to one thousand meters is called one - kilometers.

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Answer: 30

Step-by-step explanation:

Let's start with what we know. His free-throw average was 60%, so 18 out of something = 60%. When looking further we realize that he stepped up 30 times and only made 18 which does hold true; 18/30 = 60%.

The probability that the student has not visited between 21 and 30 states is 0.4772 or approximately 48%.

Suppose a Hospitality Management student is picked at random.

We need to calculate the probability that the student has not visited between 21 and 30 states.

To calculate the probability, we can use the formula:

Probability = Number of favorable outcomes / Total number of possible outcomes

Let X be the number of states visited by the student.

Given that X follows a normal distribution with mean μ = 25 and standard deviation σ = 7.

So, the z-score for X = 21 and X = 30 can be calculated as follows:

z1 = (21 - 25) / 7 = -0.57,

z2 = (30 - 25) / 7 = 0.71

Now, we can find the probability of the student not visiting between 21 and 30 states using the standard normal distribution table:

P(21 < X < 30) = P(z < 0.71) - P(z < -0.57)= 0.7611 - 0.2839= 0.4772

Therefore, the probability that the student has not visited between 21 and 30 states is 0.4772 or approximately 48%.Note: The answer is 48% approximately.

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Answer:

1x-2y

Step-by-step explanation:

You have to go down 2 on the y-axis and over to the right 1 on the x axis

No 4 is not a factor of 93 :)

let me know if this helped<3

Explanation: a factor is whether or not a number can be multiplied with another number, 4 cannot be multiplied by any number to evenly come out as 93, the way you can check this is by dividing 93 by 4, if it comes out as a whole number with no decimal or remainder than the number is a factor if it has a decimal or remainder it is not a factor

Answer:

No.

Step-by-step explanation:

The first method entails simply listing all factors of 93 and then seeing if 4 is one of them. The factors of 93 are 1, 3, 31, and 93. Looking at the list, you see that 4 is not on the list, and the answer to "is 4 a factor of 93?" is therefore no. For the second and perhaps easier method, we divide 93 by 4 to see if the quotient is a whole number or fractional number. If the quotient is a whole number, then 4 is a factor of 93. If the quotient is a fractional number, then 4 is not a factor of 93. 93 divided by 4 is 23.25 which is a fractional number. Thus, once again, the answer to "Is 4 a factor of 93?" is no.

Answer:

34.66

Step-by-step explanation:

divide 13 by 6 then multiply that by 16

Answer:

Carmen

Step-by-step explanation:

Given

See attachment for plot

Required

Player with the most runs

The number of runs is represented by the y coordinates.

So, the player with the most runs has the highest y coordinate.

From the attached plot, the y coordinate of each player is:

\(Paulo = 5\)

\(Rebecca = 4\)

\(Nardine = 9\)

\(Jason = 10\)

\(Carmen = 11\)

By comparison, Carmen has the most runs (11)

According to the question 1.) False - 3 × 5 matrix columns can be linearly independent. 2.) True , 3.) True , 4.) True , 5.) True , 6.) True - 3 × 2 matrix transformation not one-to-one.

1.) True. If the set of columns of a 3 × 5 matrix is linearly dependent, it means that there exists a nontrivial linear combination of the columns that equals the zero vector.

2.) False. The effect of a linear transformation on the columns of the n × n identity matrix only determines the image of the standard basis vectors. It does not completely determine the entire transformation.

3.) False. If each row of matrix A has a pivot, it means that the rows of A are linearly independent, not linearly dependent.

4.) True. If A has a pivot in each row, it means that the rows of A are linearly independent, and the linear transformation T : Rn → Rm represented by A is one-to-one.

5.) True. Similar to statement 1, if the set of columns of a 5 × 3 matrix is linearly dependent, it means that there exists a nontrivial linear combination of the columns that equals the zero vector.

6.) True. If A is a 3 × 2 matrix, it means that the transformation x → Ax maps from R2 to R3. Since the dimensions of the domain and codomain are different, the transformation cannot be one-to-one.

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Answer:

I think I had a 6 streak going on but I blew it yesterday

Step-by-step explanation:

Answer:

My answer streak is 20. Sorry I’m new

Answer:

150 boys were enrolled in 2012

Step-by-step explanation:

Let the number of boys enrolled in 2012 be x

Let the number of girls enrolled in 2012 be x + 200

Ratio of boys to girls in 2012 enrollment = 3/7

Now;

3/7 = x/x + 200

7x = 3(x + 200)

7x = 3x + 600

7x - 3x = 600

4x = 600

x = 600/4

x = 150 boys

Hence, 150 boys were enrolled in 2012

Answer:

a cycle is a sequence of non-repeated vertices and the degree of a graph is the number of neighbors the vertex has.

The function that represents the data in the table is 3x²+2. The correct answer is B.

The quadratic function is shown in the data table.

We must ascertain the function's equation.

The quadratic equation's generic form is

Let's replace the general form with the three coordinates (1,5, (2,14), and (3,29).

We therefore have;

a+b+c =5——— (1)

4a+2b+c= 14——— (2)

9a+3b+C =29------(3)

When (2) is subtracted from (1), we have;

9= 3a+b(4)

Subtracting (3) from (2) gives us;

15= 5a +b(5)

Subtracting (5) from (4) gives us;

6= 2a

3= a

As a result, the value of an is 3. When we replace this value in equation (4), we obtain;

3(3)+b= 9

b= 0

When a = 3 and b = 0 are substituted in equation (1), we obtain;

a+b+c =5

3+0+c=5

c=2

As a result, c has a value of 2.

As a result, when we substitute a = 3, b = 0, and c = 2 in the quadratic equation's general form y =ax²+bx+c, we obtain;

3x²+2

Consequently, the function that symbolizes the information in the table is 3x²+2

As a result, Option B is the right response.

Your question is incomplete but maybe your full question attached below

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Answer:

32 students

Step-by-step explanation:

160 divided by 5 is equal to 32.

Answer:

32 students in each class. Divide 16 kids into 5 classe

Step-by-step explanation:

Answer:

Domain: [-1, inf)  Range: [2, inf)

Step-by-step explanation:

Facts aboout a square root:  Can never  = be negative.

Thus x + 1 = 0, x = - 1

Domain: [-1, inf)

When (x+1)^1/2 = 0, m(x) = 2

Range: [2, inf)

Answer: The answer and explanation are in the picture!

Step-by-step explanation:

Answer:

231

Step-by-step explanation:

7x21=147

6x17=102

147+102=249

249-18=231

Answer: Letter D 7x21+6x17-18

Bye yw!

Answer: 25

Step-by-step explanation:

The hypothenuse will be gotten by using Pythagoras formula. This will be:

Hypotenuse² = Opposite² + Adjacent²

Hypotenuse²= 7² + 24²

Hypotenuse² = 49 + 576

Hypotenuse² = 625

Hypotenuse = ✓625

Hypotenuse = 25kilometer

Answer:

11.25 Miles , I got a different answer than the choices you put but this one is the closest that you have to my answer.

Step-by-step explanation:

a² + b² = c²

8² + 7.5² = c²

(7.5 [Half of 15{He only went halfway before his wife called}])

√120.25

c = 10.96

≈ 11 Miles

There is a 1% chance they will earn more than $39,000.

Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty

The Z score is used to calculate how many standard deviations above or below the mean the raw score is. It comes from,

z=(x- μ)/σ

where x=raw score,μ=mean,σ=standard deviation

μ=33,000,σ=4,000 for x>39,000

z=(39,000-33,000)/4000=1.5

Using the normal distribution table as a guide:

P(x > 39,000) = P(z > 1.5) = 1-P(z<1.5) = 1-0.0668=0.9332=1%

Consequently, there is a 1% chance they will earn more than $39,000.

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Answer:

number 5 is a function but number 6 is not

Step-by-step explanation:

The probability that Tamika's result is greater than Carlos' result is $\boxed{\frac{4}{9}}$.

To solve this problem, we can start by finding all the possible sums that Tamika can get by adding two different numbers from the set $\{8,9,10\}$:

- $8+9=17$
- $8+10=18$
- $9+10=19$

Similarly, we can find all the possible products that Carlos can get by multiplying two different numbers from the set $\{3,5,6\}$:

- $3\times5=15$
- $3\times6=18$
- $5\times6=30$

Now we need to compare each sum with each product to see which ones satisfy the condition that Tamika's result is greater than Carlos' result. We can organize this information in a table:

| Tamika's sum | Carlos' product | Tamika's sum > Carlos' product? |
| ------------ | -------------- | ----------------------------- |
| 17           | 15             | Yes                           |
| 17           | 18             | No                            |
| 17           | 30             | No                            |
| 18           | 15             | Yes                           |
| 18           | 18             | No                            |
| 18           | 30             | No                            |
| 19           | 15             | Yes                           |
| 19           | 18             | Yes                           |
| 19           | 30             | No                            |

Out of the 9 possible combinations, there are 4 that satisfy the condition, namely when Tamika gets a sum of 17, 18 (twice), or 19 and Carlos gets a product of 15 or 18. Therefore, the probability that Tamika's result is greater than Carlos' result is $\boxed{\frac{4}{9}}$.

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Answer:

Measure of ladder is 11 m

Step-by-step explanation:

Here, we want to calculate the length of the ladder

From the description in the question, we have a right angled triangle with the length of the ladder forming the hypotenuse, which is the longest side of the triangle

So the height at which the top of the ladder is from the ground is 9 m

Thus mathematically;

we use the sine trigonometric tattoo to get the length of the ladder

sine = length of opposite/length of hypotenuse

sine 58 = 9/h

h = 9/sin 58

h = 10.612 meters

which to the nearest integer is 11 m

Hi there!

\(\large\boxed{73m^2}}\)

Once again, divide the figure into 3 rectangles:

Top rectangle:

3m × 5m = 15m²

Long rectangle (subtract 5m from 9m to get the width):

12m × 4m = 48m²

Bottom rectangle:

2m × 5m = 10m²

Add up areas:

15m² + 48m² + 10m² = 73m²

g(-5) = ?    Since they give you the value of x, which is -5, you can substitute/plug it into the equation.

g(x) = -3x - 21

g(-5) = -3(-5) - 21     [two negative signs cancel each other out and become positive]

g(-5) = 15 - 21

g(-5) = -6

g(6) = ?      The value of x is 6

g(x) = -3x - 21     Substitute 6 into x

g(6) = -3(6) - 21

g(6) = -18 - 21

g(6) = -39

g(3.5) = ?    The value of x is 3.5

g(x) = -3x - 21    Substitute 3.5 into x

g(3.5) = -3(3.5) - 21

g(3.5) = -10.5 - 21

g(3.5) = -31.5

g(-12) = ?   The value of x is -12

g(x) = -3x - 21    Substitute -12 into x

g(-12) = -3(-12) - 21

g(-12) = 36 - 21

g(-12) = 15