What's the difference of 5x-4 and 2x+4?

Answer:

10.2 m/h

Step-by-step explanation:

im pretty sure lol

Answer:

10.2 m/h

Step-by-step explanation:

Answer:

Step-by-step explanation:

line 1.

y=3

line 2.

x=-1.2

line 3.

x=3

line 4.

y=-2.6

length=3-(-1.2)=3+1.2=4.2

width=3-(-3)=3+3=6

area=4.2×6=25.2

(a) Number of people that expect to be between 165 and 175 cm tall is 34

(b) Number of people that expect to be taller than 167 cm is 36

(a) To find how many people would be between 165 and 175 cm tall, we need to calculate the z-scores for both heights and then use the standard normal distribution table to find the proportion of values between those z-scores.

For 165 cm:

z = (165 - 170) / 5 = -1

Using the standard normal distribution table, the area to the left of z = -1 is 0.1587.

For 175 cm:

z = (175 - 170) / 5 = 1

Using the standard normal distribution table, the area to the left of z = 1 is 0.8413.

Therefore, the proportion of heights between 165 and 175 cm is the difference between the areas to the left of z = -1 and z = 1:

P(-1 < z < 1) = 0.8413 - 0.1587 = 0.6826

To find the number of people who would be between 165 and 175 cm tall, we can multiply the proportion by the total number of people:

0.6826 × 50 ≈ 34

So we would expect about 34 people to be between 165 and 175 cm tall.

(b) To find how many people would be taller than 167 cm, we need to calculate the z-score for 167 cm and then use the standard normal distribution table to find the proportion of values to the right of that z-score.

z = (167 - 170) / 5 = -0.6

Using the standard normal distribution table, the area to the left of z = -0.6 is 0.2743.

Therefore, the proportion of heights taller than 167 cm is the area to the right of z = -0.6:

P(z > -0.6) = 1 - 0.2743 = 0.7257

To find the number of people who would be taller than 167 cm, we can multiply the proportion by the total number of people:

0.7257 × 50 ≈ 36

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Mei will have written a total of 430 pages at the end of the 30 days.

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Answer:

Step-by-step explanation:

245

Answer:

Step-by-step explanation:

Answer:

7. 110

8. 250

9. 280

10. 230

Using the numbers to indicate their locations as pairs of x and y values. Euclidean distance is used to measure all distances.

a. Using the k-means algorithm, we can group the points into three clusters based on their initial cluster centers. The first cluster consists of the points (18, 10), (21, 11), (22, 22), (24, 15), (26, 12), and (26, 13), the second cluster consists of the points (27, 14), (40, 27), (41, 29), (42, 20), and (44, 28), and the third cluster consists of the points (30, 33), (31, 39), (35, 37), (39, 44), (46, 21), (47, 30), (48, 31), and (49, 23).

The silhouette approach, which compares how similar each point is to the points in its own cluster to the points in other clusters, can be used to assess the quality of the clusters. A high silhouette value denotes a well-clustered point, while a low silhouette value denotes a possible incorrect cluster assignment.

b. In hierarchical agglomerative clustering, we first create individual clusters for each point, which are then combined to create a single cluster that contains all of the points. Depending on how they calculate the separation between clusters, the three distinct link approaches will result in a variety of clustering outcomes.

The minimal distance between any two points in each of the two clusters is used by single link to calculate the separation between the clusters. Because it only takes into account the closest pair of points, this can lead to long, thin clusters.

The distance between the clusters is calculated using the maximum distance between any two points in the two clusters. Due to the fact that it only takes into account the farthest pair of points, this can lead to compact, spherical clusters.

The average link calculates the separation between the two clusters by averaging out all of the distances between the points in the two clusters. This takes into account all possible pairs of points and may lead to clusters with more symmetrical shapes.

In general, a single link will create clusters that are the most compact, a complete link will create clusters that are the most spherical, and an average link will create clusters that are more evenly shaped.

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Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

A concave hexagon with 2 pairs of congruent sides is a shape that has six sides and two pairs of sides that are of equal length, but the shape curves inward at one or more angles, creating a concave indentation.

A hexagon is a six-sided polygon, and when two pairs of its sides are congruent,

it means that four of its sides have the same length, if the shape curves inward at one or more angles,

it creates a concave hexagon, which means that the indentation on the shape is facing inward, rather than outward, a concave hexagon with 2 pairs of congruent sides is a six-sided polygon with four sides of equal length, but with a curvature that creates an inward indentation.

Hence, a concave hexagon with 2 pairs of congruent sides is a six-sided figure with an indentation and two sets of sides with equal lengths.

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the answer is "Using the trigonometric identity

sin²x + cos²x = 1 , then sin²x = 1 - cos²x

Consider the left side

sin²a - sin²b

= (1 - cos²a) - (1 - cos²b)

= 1 - cos²a - 1 + cos²b

= cos²b - cos²a

= right side , thus verified"

Answer:

800

Step-by-step explanation:

You do 2 to the 5 power, which equals 32. Then add 13 and 12 to get 25. Then multiply 32 and 25 to get 800

As t increases the curve is changing according to the plot points given by the parametric equations.

The coordinates of the points that make up a geometric object, such as a curve or surface, are frequently expressed using parametric equations; in this case, the equations are collectively referred to as a parametric representation or parameterization (alternatively spelled as parametrisation) of the object. It describes a collection of numbers that represent functions with one or more independent variables. The parameters used here are the independent variables. For the representation of the coordinates that make up geometric objects like curves and surfaces, parametric equations are used. Additionally, a curve that is not a function can be drawn using parametric equations.

The equations are

x=1-t²

y=2t-t²,-1≤t≤2

The sketch is in the diagram picture.

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2 intersecting lines are shown. A line with points T, R, and W intersects a line with points S, R, and V at point R.  the value of x  is  mathematically given as

x=20

This is further explained below.

In most cases, two lines that cross one other are shown. In this example, line TW and line SV meet at point R.

The angles are as follows, starting at the top and moving clockwise:

Angels \(3x\textdegree \ and\ (x+40 \textdegree)\) are considered horizontal angles because of the description (opposite when two lines intersect). Vertical angles are equivalent, therefore

x=20

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5k > 84 -> k > 84/5

Because k is a prime number, it must be a whole number

-> k > 16
The smallest prime number after 16 is 17, and it satisfies as 17 x 5 > 84

So, the smallest value of k is 17.

Answer:

No she will not because she will only be at level 5 after the next 3 turns

Step-by-step explanation:

She cuts down 6 trees so then shes at -2 then she plays 8 so shes up to 6 but then she cuts down one and goes down to level 5

Answer:

y=1/3 would be the correct answer as long as the x is not only attached to the three, but 1/3 as a whole. I hope this helps!

The pseudo-inverse of A is:

A+ =

⎡ cosφ/σ1 -sinφ/σ2 ⎤

⎢ sinφ/σ1 cosφ/σ2 ⎥

⎣ 0 0 ⎦

The pseudo-inverse of a 2x3 matrix A, we first need to compute the singular value decomposition (SVD) of A.

The SVD of A can be written as A = \(U\Sigma V^T\), where U and V are orthogonal matrices and Σ is a diagonal matrix with non-negative diagonal elements in decreasing order.

Since A is a 2x3 matrix, we can assume that the rank of A is either 2 or 1. If the rank of A is 2, then Σ will have two non-zero diagonal elements, and we can compute the pseudo-inverse as A+ = \(V\Sigma ^{-1}U^T\).

If the rank of A is 1, then Σ will have only one non-zero diagonal element, and we can compute the pseudo-inverse as A+ = \(V\Sigma^{-1}U^T\), where \(\Sigma^{-1\) has the reciprocal of the non-zero diagonal element.

Let's assume that the rank of A is 2, so we need to compute the SVD of A.

Since A is a 2x3 matrix, we can use the formula for SVD to write:

A = \(U\Sigma V^T\) =

⎡ cosθ sinθ ⎤

⎣-sinθ cosθ ⎦

⎡ σ1 0 0 ⎤

⎢ 0 σ2 0 ⎥

⎣ 0 0 0 ⎦

⎡ cosφ sinφ 0 ⎤

⎢-sinφ cosφ 0 ⎥

⎣ 0 0 1 ⎦

where θ and φ are angles that satisfy 0 ≤ θ, φ ≤ π, and σ1 and σ2 are the singular values of A.

The diagonal matrix Σ contains the singular values σ1 and σ2 in decreasing order, with σ1 ≥ σ2.

The pseudo-inverse of A, we first compute the inverse of Σ.

Since Σ is a diagonal matrix, its inverse is easy to compute:

\(\Sigma^{-1\)=

⎡ 1/σ1 0 0 ⎤

⎢ 0 1/σ2 0 ⎥

⎣ 0 0 0 ⎦

Next, we compute \(V\Sigma^{-1}U^T\):

A+ = VΣ^-1U^T =

⎡ cosφ -sinφ ⎤

⎣ sinφ cosφ ⎦

⎡ 1/σ1 0 ⎤

⎢ 0 1/σ2 ⎥

⎡ cosθ -sinθ ⎤

⎣ sinθ cosθ ⎦

The pseudo-inverse is not unique, and there may be different ways to compute it depending on the choice of angles θ and φ.

Any valid choice of angles will yield the same result for the pseudo-inverse.

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The pseudo-inverse A+ of a 2x3 matrix A does not exist.

The pseudo-inverse of a matrix is a generalization of the matrix inverse for non-square matrices. However, not all matrices have a pseudo-inverse.

In this case, we have a 2x3 matrix A, which means it has more columns than rows. For a matrix to have a pseudo-inverse, it needs to have full column rank, meaning the columns are linearly independent. If a matrix does not have full column rank, its pseudo-inverse does not exist.

Since the given matrix A has more columns than rows (2 < 3), it is not possible for A to have full column rank, and thus, its pseudo-inverse does not exist.

Therefore, the pseudo-inverse A+ of the 2x3 matrix A is undefined.

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From two pints (4 cups) of milk, you can make 12 servings.

To find the number of servings that can be made from two pints of milk, we first need to convert the given measurements into cups.

Given that 1 pint is equal to 2 cups, we can determine that two pints would be 2 pints * 2 cups/pint = 4 cups of milk.

The recipe states that 3 cups of milk are required to make 9 servings. This implies that each serving needs 3 cups / 9 servings = 1/3 cup of milk.

To determine the number of servings that can be made from 4 cups of milk, we divide the total amount of milk by the amount of milk required per serving:

4 cups / (1/3 cup per serving) = 4 cups * (3/1) = 12 servings.

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Answer:

x = 3

y = 6

Step-by-step explanation:

2x = x + 9

x = 3

y = 2 * 3

y = 6 .    Hope this help teehee :D

Answer:

C

Explanation:

A: 2 in. by 2 in. by 1 in. = 4 cubic inches

B: 1 in. by 1 in. by 1 in. = 1 cubic inches

C: 2 in. by 1.5 in. by 0.5 in. = 1.5 cubic inches

D: 3 in. by 0.5 in. by 1.5 in. = 2.25 cubic inches

Therefore, the answer is C.

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(2y+3x=1\implies 2y=-3x+1\implies y=\cfrac{-3x+1}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{2}}x+\cfrac{1}{2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{-3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-3} \implies \cfrac{2}{ 3 }}}\)

so we're really looking for an equation whose slope is 2/3

\({\Large \begin{array}{llll} y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+\cfrac{5}{2} \end{array}} \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

A 90° rotation around the origin characterised the transition.

A logical principle that specifies the circumstances in which one assertion can be legitimately inferred from one or more other statements, particularly in codified languages.

(x, y)(x, y) is the formula for a reflection over the x-axis.

Triangle ABC was changed utilizing the (x, y) rule (–y, x). The triangles' vertices are displayed. A (–1, 1) B (1, 1) C (1, 4) (1, 4) A' (–1, –1) (–1, –1) B' (–1, 1) C' (–4, 1) (–4, 1) Which phrase best sums up the change? A 90° rotation around the origin characterised the transition. A 180° rotation of the origin occurred during the transformation.  The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.

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Answer: A reflection over the y-axis justifies ∆ABC ≅ ∆A'B'C'.

Step-by-step explanation: Took the test, no thanks neeeded :)

Answer:

14.4 × 10^13

Step-by-step explanation:

.........

Answer:

12

Step-by-step explanation:

12 parts

Answer:

A is the Answer

Step-by-step explanation:

A fraction bar divided into 12 parts. 3 parts are shaded blue and 4 parts are shaded pink. 1 part overlaps

Step-by-step explanation:

\( \hookrightarrow \sf y = kx \)

\( \sf where \: k \: is \: constant\)

\( \sf \: k = \frac{y}{x} \)

\( \hookrightarrow \sf \: k = \frac{y}{5.5} \)

Equation = \( \sf \: k = \frac{y}{5.5} \)

The HCF of A and B is 1029.

To find the HCF of A and B, we need to identify the common prime factors of both numbers and take the product of the lowest power of each common prime factor.

The prime factorization of A is:

A = 3^5 x 5 x 7^3

The prime factorization of B is:

B = 2^3 x 3 x 7^4

The common prime factors of A and B are 3 and 7.

To find the lowest power of each common prime factor, we take the minimum exponent of that prime factor in the prime factorization of A and B:

The lowest power of 3 is 3^1 = 3

The lowest power of 7 is 7^3 = 343

Therefore, the HCF of A and B is:

HCF(A, B) = 3 x 343 = 1029

Hence, the HCF of A and B is 1029.

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Answer:

$ 83.2

Step-by-step explanation:

3 pounds = 16.64

15 pounds = ?

15 pounds = 5 × 16.64

= $ 83.2

Answer: I think cash and checks??

Step-by-step explanation:

Sorry if I'm wrong

The equation of the line that passes through the point (5,3) and has a slope of -4/5 is,

⇒ 4x + 5y = 35

Here,

The given point is (5, 3) and slope is -4/5.

We have to find the equation of the line that passes through the point (5,3) and has a slope of -4/5.

What is Equation of line?

The equation of the line that passes through the point (a, b) and has a slope of m is;

⇒y - a = m (x - b)

Now,

The given point is (5, 3) and slope is -4/5.

Hence, The equation of the line that passes through the point (5,3) and has a slope of -4/5 is;

y - 3 = -4/5 (x - 5)

5 (y - 3) = -4 (x - 5)

5y - 15 = -4x + 20

4x + 5y = 20 + 15

4x + 5y = 35

Therefore, The equation of the line that passes through the point (5,3) and has a slope of -4/5 is

⇒ 4x + 5y = 35.

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