Solve equation.
6 t-18=30

Answer:

Point K is located at -6.

Step-by-step explanation:

-15+9=-6

Point K is located at -6.

The function of the absolute value is always positive the correct answer would be option (B).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

We have to determine the statement best describes the function.

We have been given that the graph represents the absolute value parent function.

Since the parent function's graph with an absolute value that is always positive.

Therefore, the graph of the absolute value parent function would be always positive.

Hence, the correct answer would be option (B)

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The value of the coefficient of determination is 0.066.

The linear correlation coefficient (r) is a statistical measure that describes the strength and direction of the linear relationship between two continuous variables. It ranges from -1 to +1, with values close to -1 indicating a strong negative linear correlation, values close to +1 indicating a strong positive linear correlation, and values close to 0 indicating little to no linear correlation. It is useful in many fields for analyzing the relationship between variables and making predictions based on observed data.

The coefficient of determination, denoted by r^2, is the square of the linear correlation coefficient (r). Therefore:

r^2 = (-0.256)^2 = 0.065536

Rounding to three decimal places, the coefficient of determination is approximately 0.066.

So, the answer is 0.066.

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The probability of the event E or F, denoted as P(E or F), is 0.75.

To find the probability of the event E or F (denoted as P(E or F)), we need to consider the probabilities of E, F, and the intersection of E and F.

We are given:

P(E) = 0.40

P(F) = 0.55

P(E and F) = 0.10

The probability of the union of two events (E or F) can be calculated using the formula:

P(E or F) = P(E) + P(F) - P(E and F)

Substituting the given values into the formula, we have:

P(E or F) = 0.40 + 0.55 - 0.10

Simplifying the expression:

P(E or F) = 0.85 - 0.10

P(E or F) = 0.75

Therefore, the probability of the event E or F, denoted as P(E or F), is 0.75.

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The polygon is a regular hexagon.

Stella is using a compass and a straight edge to construct a polygon inscribed in a circle.

Also the circle is drawn with five arc markings that lie on the circle. Also there is an additional point marked on the circle.

So there are in total 6 points on the circle. Also the lines joining these five points will be equal. So we will get a regular hexagon through this construction.

The following is the process of construction.

First she starts at a point on the circle placing the compass there. Then she will measure the radius of the circle on compass. Fixing this distance, she will draw an arc on the circle. The process is repeated by placing the compass on the new point obtained on the circle.

So in total she will get the 6 vertexes of the regular hexagon. Joining the adjacent points, a regular hexagon is inscribed inside the circle.

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Answer: A regular hexagon

Answer:

x = 4

Step-by-step explanation:

perpendicular lines have opposite and reciprocal slopes

the line y = 2 is a horizontal line, which means the slope is zero

also, y = 2 intersects the y-axis at 2

a line perpendicular to a horizontal line is a vertical line and, if it passes through the point (4,5) will intersect the x-axis at 4

therefore, the equation would be x = 4

Answer:

x=17

Step-by-step explanation:

we know the sum of angles in atriangle is 180°

x +17 + 4x -34 +6x +10 = 180

x+4x+6x +17 -34 +10 = 180

11x -7 =180

11x = 180 +7

x = 187/11 = 17

The approximate speed of sound will be 12 miles per minute.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula is given as,

Speed = Distance/Time

Sound can travel incredibly quickly: 1 mile in about 1/12 of a minute.

Based on that, the approximate speed of sound will be

Speed = 1 / (1/12)

Speed = 1 x 12

Speed = 12 miles per minute

The approximate speed of sound will be 12 miles per minute.

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Answer:

10

Step-by-step explanation:

the is answe is 10 sheeesh

Given, AM=4x+13 and BM=3x+17.Point M is the midpoint of AB.Thus, AM=BMAM=BM4x + 13 = 3x + 17x = 4Thus, BM = 3x + 17BM = (3 * 4) + 17 = 12 + 17 = 29

The midpoint of a line segment is the point that divides the segment into two equal halves. A line segment has only one midpoint. A perpendicular bisector divides a line segment into two equal parts.

It is possible that a point is not the midpoint of a line segment, but it is the perpendicular bisector of the line segment.

AM = 4x + 13 and BM = 3x + 17 are given.

Point M is the midpoint of AB.

AM=BM ⇒ 4x + 13 = 3x + 17x = 4.

Substitute x = 4 in BM = 3x + 17BM

= 3(4) + 17 = 12 + 17 = 29Thus, the value of BM is 29 units.

Point M is the midpoint of AB and BM is 29 units.

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The inverses modulo m for the given pairs of relatively prime integers are:

a) Inverse of 4 modulo 9 is 1.

b) Inverse of 19 modulo 141 is 1.

c) Inverse of 55 modulo 89 is 1.

d) Inverse of 89 modulo 232 is 1.

To find the inverse of a modulo m for each pair of relatively prime integers, we can use the Extended Euclidean Algorithm. The inverse of a modulo m is a number x such that (a * x) mod m = 1.

a) For a = 4 and m = 9:

We need to find the inverse of 4 modulo 9.

Using the Extended Euclidean Algorithm, we have:

9 = 2 * 4 + 1

4 = 4 * 1 + 0

The last nonzero remainder in the algorithm is 1. So, the inverse of 4 modulo 9 is 1.

b) For a = 19 and m = 141:

We need to find the inverse of 19 modulo 141.

Using the Extended Euclidean Algorithm, we have:

141 = 7 * 19 + 8

19 = 2 * 8 + 3

8 = 2 * 3 + 2

3 = 1 * 2 + 1

2 = 2 * 1 + 0

The last nonzero remainder in the algorithm is 1. So, the inverse of 19 modulo 141 is 1.

c) For a = 55 and m = 89:

We need to find the inverse of 55 modulo 89.

Using the Extended Euclidean Algorithm, we have:

89 = 1 * 55 + 34

55 = 1 * 34 + 21

34 = 1 * 21 + 13

21 = 1 * 13 + 8

13 = 1 * 8 + 5

8 = 1 * 5 + 3

5 = 1 * 3 + 2

3 = 1 * 2 + 1

2 = 2 * 1 + 0

The last nonzero remainder in the algorithm is 1. So, the inverse of 55 modulo 89 is 1.

d) For a = 89 and m = 232:

We need to find the inverse of 89 modulo 232.

Using the Extended Euclidean Algorithm, we have:

232 = 2 * 89 + 54

89 = 1 * 54 + 35

54 = 1 * 35 + 19

35 = 1 * 19 + 16

19 = 1 * 16 + 3

16 = 5 * 3 + 1

3 = 3 * 1 + 0

The last nonzero remainder in the algorithm is 1. So, the inverse of 89 modulo 232 is 1.

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Answer: The answer is c, you must divide to see how much packages he can make, and it comes out with 7.5 but you cant rap half a package so it is just 7.

Step-by-step explanation:

Answer: 1/3

Step-by-step explanation:

From the question, we are informed that Pranav ate pizza for dinner on Monday night and had 2/3 of the pizza left over. We are further told that on Tuesday night, he ate 1/2 of what was left.

The amount of pizza that Pranav ate on Tuesday will be:

= 1/2 × 2/3

= 1/3

She ate 1/3 on Tuesday

Answer:

0, -2, 2, -1

Step-by-step explanation:

You are trying to make it so that the one of the (  )= 0.

An example is (x+15) or (2x+3)

the first l one would be x= -15 since -15+15 would equal 0.

The second one is -3/2 since it would be -3+3 which would equal 0.

also since the equation starts with x( or -x it doesn't really matter) one of the zeros would also be 0.

Hope this helps!

It is proved that  f(x₁, x₂) = e^x1² + 5x²2 is a strictly convex function.

To prove that the function f(x₁, x₂) = e^(x₁² + 5x₂²) is strictly convex, we need to show that the Hessian matrix of the function is positive definite for all (x₁, x₂) in its domain.

The Hessian matrix of f(x₁, x₂) is defined as:

H =[d²f/dx₁², d²f/dx₁dx₂]

[d²f/dx₁dx₂, d²f/dx₂²]

To determine if the function is strictly convex, we need to show that the Hessian matrix is positive definite. This can be done by showing that all its leading principal minors are positive.

Calculating the leading principal minors:

|d²f/dx₁²| = d²(e^(x₁² + 5x₂²))/dx₁² = 2e^(x₁² + 5x₂²) > 0

|d²f/dx₁dx₂| = d²(e^(x₁² + 5x₂²))/dx₁dx₂ = 0

|d²f/dx₂²| = d²(e^(x₁² + 5x₂²))/dx₂² = 10e^(x₁² + 5x₂²) > 0

Since all the leading principal minors are positive, the Hessian matrix is positive definite. Therefore, the function f(x₁, x₂) = e^(x₁² + 5x₂²) is strictly convex.

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Answer:

1. Point B.

If you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate changes into its opposite. So, if we have a point, the reflection of this point across  the x-axis is the point. Finally, our point A (-2,-3) changes into:

Point B: (-2,3)

2. Point C.

If you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate changes into its opposite. So, if we have a point, the reflection of this point across the y-axis is the point (-x,y) . Finally, our point A(-2,-3)  changes into:

Point C:(2,-3)

Answer:

all of them apply

Step-by-step explanation:

Here is the completed table:

Outcome: Friends Family At Home

Probability: 0.27  0.35   0.38

Or

1) Friends = 0.27

2) Family = 0.35

3) Home = 0.38

The table shows the sample space for the spring break plans of the students surveyed. The sample space includes three outcomes: going out of town with friends, going out of town with family, and staying at home. The probabilities for each outcome are given in the table. The probability of an outcome represents the proportion of students who reported that outcome in the census.

Answer:

The answer is D. x + 3

Step-by-step explanation:

The factors of 5x2 + 14x - 3 are:

(5x-1) and (x+3)

a) The value of z corresponding to an area of 0.1210 can be found using statistical tables or a statistical calculator.

b) Similarly, the value of z corresponding to an area of 0.9898 can be obtained using statistical tables or a statistical calculator.

c) To find the value of z at the 45th percentile, we can use the standard normal distribution table or a statistical calculator.

a) To find the value of z corresponding to an area of 0.1210, you can use a standard normal distribution table or a statistical calculator. By looking up the area of 0.1210 in the table, you can determine the corresponding z-value. For example, if you find that the z-value for an area of 0.1210 is -1.15, then -1.15 is the value of z corresponding to the given area.

b) Similarly, to find the value of z corresponding to an area of 0.9898, you can refer to a standard normal distribution table or use a statistical calculator. Find the z-value that corresponds to the area of 0.9898. For instance, if the z-value for an area of 0.9898 is 2.32, then 2.32 is the value of z corresponding to the given area.

c) To find the value of z at the 45th percentile, you can use a standard normal distribution table or a statistical calculator. The 45th percentile corresponds to an area of 0.4500. By finding the z-value for an area of 0.4500, you can determine the value of z at the 45th percentile. For example, if the z-value for an area of 0.4500 is 0.125, then 0.125 is the value of z at the 45th percentile.

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Answer:

Step-by-step explanation:

x = (1814.75 - 1168.50)/(58.75)

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

Explanation:

x = number of players

58.75x = cost of all the meals for those x players

58.75x + 1168.50 = adding on the cost of the bus

58.75x + 1168.50 = 1814.75

----------

Let's solve for x.

58.75x + 1168.50 = 1814.75

58.75x = 1814.75 - 1168.50

x = (1814.75 - 1168.50)/(58.75)

x = 11

This means 11 players can go on the trip.

1 player = $58.75 in meals

11 players = 11*58.75 = $646.25 total in meal costs

646.25 +  1168.50 = 1814.75

So this confirms the answer.

The correct equation to determine the number of players (x) the team can bring to the tournament is x = (1814.75 - 1168.5) / 58.75.So, the correct answer is B. x = (1814.75-1168.5)/58.75

The amount raised by the lacrosse team is $1814.75. They spent $1168.50 on the bus rental and budgeted $58.75 per player for meals. Let's break down the expenses:

Total expenses = Bus rental cost + (Number of players * Meal cost per player)

Total expenses = $1168.50 + (x * $58.75)

The equation that represents the total expenses in terms of the number of players (x) is: Total expenses = $1168.50 + $58.75x

Since the team raised $1814.75, we can set up the equation:

Total expenses = Amount raised

$1168.50 + $58.75x = $1814.75

Now, let's solve for x:

$58.75x = $1814.75 - $1168.50

$58.75x = $646.25

Dividing both sides by $58.75:

x = $646.25 / $58.75

x = 11

So, the correct equation to determine the number of players (x) the team can bring to the tournament is: B. x = (1814.75 - 1168.5) / 58.75

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Correct Question is:

Members of a lacrosse team raised $1814.75 to go to a tournament. They

rented a bus for $1168.50 and budgeted $58.75 per player for meals. Whichequation could be used to determine x, the number of players the team can bring to the tournament?

A. 1168.5x = 1814.75 - 58.75

B. x = (1814.75-1168.5)/58.75

C. x= (1168.5-1814.75)/58.75

D. 1814.75 = 58.75(x+1168.5)

Answer:

22

Step-by-step explanation:

The centroid divides a median in two parts that have this ratio = 1/3 and 2/3

In particular the part between the vertex and the centroid is 2/3 of the median.

So we have:

XN = (33 * 2)/3 = 22

To construct a confidence interval for the proportion of defectives, we should use the plus four method.

Since the sample size is 20, which is not very large, the large-sample interval is not appropriate. Instep, we ought to utilize a strategy that's suitable for little test sizes. 

The plus four method is one such method that is commonly used when the sample size is small. Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

The plus four strategies may be a strategy for building a certainty interim for an extent when the test estimate is little.

To utilize this strategy, we to begin with include four fanciful perceptions to our test, two of which are flawed and two of which are not imperfect.

This increments the test estimate to 24, which permits us to utilize the typical guess to the binomial dispersion to build the certainty interim.

The equation for the certainty interim utilizing the also four strategies is:

p ± zα/2 √((p + 2) (1 - p + 2) / n + 4)

where:

p is the test extent (number of defectives/test estimate)

zα/2 is the basic esteem from the standard typical dissemination at the level of importance α/2

n is the test estimate (counting the included four nonexistent perceptions)

Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

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Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.

To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.

First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:

6x + 4(0) + 0 = 24

6x = 24

x = 4

So, the plane intersects the x-axis at (4, 0, 0).

Similarly, to find the y-intercept, we set x = 0 and z = 0:

6(0) + 4y + 0 = 24

4y = 24

y = 6

So, the plane intersects the y-axis at (0, 6, 0).

To find the z-intercept, we set x = 0 and y = 0:

6(0) + 4(0) + z = 24

z = 24

So, the plane intersects the z-axis at (0, 0, 24).

We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).

To find the volume of this tetrahedron, we can use the formula:

Volume = (1/3) * base area * height

The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.

The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.

Plugging these values into the volume formula:

Volume = (1/3) * 12 * 24

= 96 cubic units

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Answer:

side = 111.274........

Explanation:

area of square = side × side

means we're finding area by finding square of side.

now, we're finding side. so, we'll do the opposite of square, which means square root.

\(side = \sqrt{area} \)

so,

\(side = \sqrt{12382} \)

side = 111.274........

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Yes, they do form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle.

Yes, the side lengths 4 8 and 10 can form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle. A triangle is defined as a polygon with three sides and three angles, and is one of the basic shapes in geometry. It is also one of the most studied shapes in mathematics due to its wide range of applications. The three angles of a triangle must add up to 180 degrees, and the three sides must satisfy the triangle inequality, meaning that the sum of any two sides must be greater than the third side. Additionally, the interior angles of a triangle are always equal to the sum of two exterior angles. Knowing this, it can be seen that the side lengths 4 8 and 10 can form a triangle, as the sum of any two sides is greater than the third side.

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Answer:

8 minutes.

Step-by-step explanation:

24x + 64y = 384, that represents the canned goods order .

where x = number of minutes spent producing fruit cans,

and y = number of minutes producing vegetable cans.

If the vegetable assembly line runs for 3 minutes, then put y=3 in equation we get

Therefore,  the fruit assembly line need to run to complete the order of 384 cans in 18 minutes.

Answer:

Substitute 3 into the equation for y. Solve for x and find that x = 8. So if cans of vegetables are processed for 3 minutes, fruit needs to be processed for 8 minutes to complete the 384-can order.

Step-by-step explanation:

Answer its quite easy i hope this will be right

1) 4.1833

2) 5.29+2.366=7.656