in the matrix factorization model for recommendation, how do you determine the number of latent factors?

The fraction that has the least common denominator being 24 would be D. 1 / 8 and 2 / 3 .

To find the least common denominator of two or more fractions, you need to look at the denominators of the fractions.

The least common denominator would be the least common multiple of the denominators of the fractions given.

The fractions with the least common denominator of 24 would therefore be 1 / 8 and 2 / 3 .

This is because 24 is the least common multiple of 8 and 3.

Find out more on least common denominator at https://brainly.com/question/19249494

#SPJ1

Answer:

The slope is -4/3

I hope this helps :)

Answer:

(5,1)

(3,4)

(2,2)

(1,5)

Answer:

3 grams

Explanation: To solve you have to divide the mass value by 1000.

3000/1000=3 Grams

I hope this helps :)

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

Learn more about compound inequality

brainly.com/question/17957246

#SPJ11

Answer:

No congruency statement can be made because the side lengths are unknown.

Step-by-step explanation:

We are given the measure of two angles in ∆XYZ, as 90 and 30 respectively. The 3rd angle can be known without being given. Since sum of angles in a triangle is 180°, the 3rd angle would be 180 - (90+30) = 60°.

Same applies to ∆TUV.

We only know the 3 angles of each triangle, but we are not given any of the side lengths. Therefore, we cannot make any congruency statement since the side lengths are unknown.

Answer:

Step-by-step explanation:

Answer:

The number of boys, x = 12

Step-by-step explanation:

Given that the sum of the ages of the boys in a class = 84 years

The number of boys = x

A new boy aged 8 years 1 month is added and the average age increases by 1 month

We have

Average age = 84/x = y

Age of new boy = 8 years 1 month = \(8\frac{1}{12} \ year\)

New average = y + 1/12 = \((8\frac{1}{12}+84) /(x + 1)\) which gives;

84/x + 1/12 = \((8\frac{1}{12} + 84) /(x + 1)\)

\(\dfrac{x +1008}{12 \cdot x} = \dfrac{1105}{12 \cdot x+ 12}\)

(x + 1008)×(12·x + 12) = 1105× 12·x

12·x² -1152·x + 12096 = 0

x² -96·x + 1008 = 0

(x - 84)×(x - 12) = 0

Therefore, x = 12 or 84,

The number of boys are 12 or 84

For there to bee 84 boys, their average age would be one year each

Given that they are boys not babies, then there are only 12 boys.

In summary, the difference between the total number of customers and the total number of business cards is 109,500.

If we examine the pattern established in the initial days, we observe that the number of customers increases by 5 each day, starting from 0. Simultaneously, the number of business cards left increases by 3 more than the previous day's count. To determine the total number of customers over the course of a year, we can sum the arithmetic series, with the first term as 5, the common difference as 5, and the number of terms as 365. This yields a sum of 66,725 customers.

Next, we need to calculate the total number of business cards left. Using the same approach, we have a first term of 3, a common difference of 3, and 364 terms (since no business cards were left on the first day). The sum of this arithmetic series is 66,220 business cards.

Finally, to find the difference between the total number of customers and business cards, we subtract the sum of business cards from the sum of customers: 66,725 - 66,220 = 505. Therefore, the difference between the total number of customers and business cards is 505.

Learn more about arithmetic series,

brainly.com/question/14203928

#SPJ11

Answer:

7.5 < 10 <1 2

Step-by-step explanation:

The order of this shows them from least to greatest using the inequality symbols.

Answer: North Korea and Cuba are the only places you can't buy Coca-Cola

Step-by-step explanation: I think that's a really interesting fact lol.

Well your answer for problem 4 is 28. IM not sure what the boxes are for though...

If the difference between the squares of two numbers is 10 and the difference between the two numbers is 2, their sum would be 5.

An equation is an expression that can be used to show the relationship between variables and numbers.

Let a and b represent the two numbers.

The difference between the squares of two numbers is 10. Hence:

a² - b² = 10

(a - b)(a + b) = 10    (1)

The difference between the two numbers is 2, hence:

a - b = 2

Substituting:

(a - b)(a + b) = 10    

2(a + b) = 10    

(a + b) = 5

Their sum is 5.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The graph of functions are shown in image.

Now, We have to given that;

Compare the graph to the graph of

⇒ f (x) = x².

And, Functions are,

(5.) g(x) = 6x²

(7.) h(x) = 1/4x²

(9.) m(x) = -2x²

(11.) A(x)= -0.2x²

(13) n(x) = (2x)²

(15.) c(x)=(-1/3x)²

Now, We can draw all the graphs as shown in image.

Thus, By graph we get some of the graph are compressed and some are dispersed through the graph of function f (x) = x².

Therefore,  The graph of functions are shown in image.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

To know more about concave mirror Visit:

https://brainly.com/question/31379461

#SPJ11

Answer: 12: 6 and 24: 12 and 3: 1.5

Step-by-step explanation: A ratio can be equivalent through multiplication such as 6: 3 to 12: 6  

Answer:

2 : 1,

12/

Step-by-step explanation:

all you have to do is cross out the numbers, basically simplify the

the answer is 2:1 because in 3's multiplication table,

3×2=

and

3×1=

similarly , for 12/6, divide instead of multiplication, there area few other ratios equivalent to 6/

Answer:

linear

non-linear

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

You can reach this answer by doing the equation

4+(x-3) = 2x-5

doing the math you will get that 6 is your x.

Hope this helps :)

The probability that the computer loses the next two games is approximately 0.0433 or 4.33%.

To determine the probability that the computer loses the next two games, we need to first find the probability of losing a single game and then use the concept of independence.

From the given data, the computer has won 792 out of 1000 games. So, the probability of winning a single game is:
P(win) = (number of wins) / (total games)

= 792 / 1000

= 0.792

Since the probability of losing a game is the complement of winning, we have:
P(lose) = 1 - P(win)

= 1 - 0.792

= 0.208

Since the games are independent, the probability of losing the next two games is the product of the probability of losing each game:

P(lose both games) = P(lose) × P(lose)

= 0.208 × 0.208

≈ 0.0433

So, the required probability is 0.0433 or 4.33%.

Learn more about probability:

https://brainly.com/question/13604758

#SPJ11

Answer:

Karma worked for 7 1/2 hours. She spent 2/3 of the time on her computer. To find out how long she was on her computer, we can multiply the total time she worked by the fraction of time she spent on her computer.

Step-by-step explanation:

7 1/2 hours * 2/3 = (15/2) * (2/3) = 30/6 = 5 hours.

Therefore, Karma was on her computer for 5 hours.

Answer:

5

Step-by-step explanation:

We want to multiply a mixed number by a fraction.

7 1/2 * 2/3

Change the mixed number to an improper fraction.

(2 * 7 + 1)/2 = 15/2

15/2 * 2/3

Simplify.

15/3 * 2/2

5 * 1

5

The rigid motion that verifies the congruence of two triangles using the Side-Angle-Side (SAS) criterion is the combination of a translation and a rotation.

To establish congruence between two triangles using the SAS criterion, we need to show that the triangles have two corresponding sides and the included angle equal in measure. This can be achieved through a specific rigid motion, which preserves the shape and size of the triangles.

The first step in the rigid motion is a translation. Translation involves moving the entire triangle along a straight line without altering its shape or size. By sliding one triangle along the plane, we can place the corresponding sides of the two triangles in the same position.

The second step is a rotation. A rotation is a transformation that turns the triangle around a fixed point, called the center of rotation. By rotating one triangle around its center, we can align the corresponding angles of the two triangles. By combining the translation and rotation, we ensure that the sides and the included angle of the two triangles match, verifying their congruence using the SAS criterion.

To learn more about triangles click here: brainly.com/question/2773823

#SPJ11

Answer:

\(3\frac{1}{3}\) or \(\frac{10}{3}\)

Step-by-step explanation:

We could use the combined rate equation to find the combined rate of work.

Combined rate of work formula: \(\frac{1}{t_{b}} = \frac{1}{t_{1} } + \frac{1}{t_{2} }\), where \(t_{1}\) is the individual time for object A, \(t_{2}\) the individual time for object B and \(t_{b}\) is the time for A and B together.

The time it takes Irina to paint the room alone, \(t_{1}\) = 5 hours

The time it takes Paulo to paint the room, \(t_{2}\) = 10 hours

1) Substitute object A (Irina) and B (Paulo) into the formula given above, and change \(t_{b}\) into an \(x\).

\(\frac{1}{{x}} = \frac{1}{5 } + \frac{1}{10 }\)

2) Add the fractions.

\(\frac{1}{x} = \frac{3}{10}\)

3) Solve for the \(x\).

\(x(3) = 1(10)\\3x = 10\\x = \frac{10}{3} \\\)

4) Change them into a mixed fraction.

\(3\frac{1}{3}\)

Note: \(\frac{10}{3}\) or \(3\frac{1}{3}\) are both correct. Write the answer according to the question. In this case, there is no specific rule, so I choose \(3\frac{1}{3}\).

The angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\),\) which is approximately 1.107 radians or 63.43 degrees.

To determine the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\),\) we can follow these steps:

1. Express \(\(z_0\)\) in polar form: To find the polar form of \(\(z_0\)\), we need to calculate its magnitude \((\(r_0\))\) and argument \((\(\theta_0\))\). The magnitude can be obtained using the formula \(\(r_0 = |z_0| = \sqrt{\text{Re}(z_0)^2 + \text{Im}(z_0)^2}\)\):

\(\[r_0 = |2i + 1| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}\]\)

  The argument \(\(\theta_0\)\) can be found using the formula \(\(\theta_0 = \text{arg}(z_0) = \arctan\left(\frac{\text{Im}(z_0)}{\text{Re}(z_0)}\right)\)\):

\(\[\theta_0 = \text{arg}(2i + 1) = \arctan\left(\frac{2}{1}\right) = \arctan(2)\]\)

2. Find the polar form of \(\(w\)\): The polar form of \(w\) can be expressed as \(\(w = |w|e^{i\theta}\)\), where \(\(|w|\)\) is the magnitude of \(\(|w|\)\) and \(\(\theta\)\) is its argument. Since \((w = z^2\)\), we can substitute z with \(\(z_0\)\) and calculate the polar form of \(\(w_0\)\)using the values we obtained earlier for \(\(z_0\)\):

 \(\[w_0 = |z_0|^2e^{2i\theta_0} = \sqrt{5}^2e^{2i\arctan(2)} = 5e^{2i\arctan(2)}\]\)

3. Determine the argument of \(\(w_0\):\) To find the argument \(\(\theta_w\)\) of \(\(w_0\)\), we can simply multiply the exponent of \(e\) by 2:

  \(\[\theta_w = 2\theta_0 = 2\arctan(2)\]\)= 1.107 radians

Therefore, the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\).\)

Learn more about exponent here: https://brainly.com/question/29277932

#SPJ11

The complete question is:

"Determine the angle of rotation, in radians and degrees, at the point z0 = 2i + 1 when w = z^2."

Answer:

Step-by-step explanation:

Hope this helps u !!

The first statement is correct,  that the value of x is 55°.

The second statement is incorrect, the correct statement is the measure of the smaller angle is 35°.

Complementary angles are those whose combined angle is exactly 90°

Part A :

The figure shows right-angled or complementary angle which means the sum of angles is 90°

Therefore we can say that,

x + x-20 = 90°

2x - 20 =90°

2x = 90° + 20

2x = 110°

x = 55°

Therefore the value of the x = 55°, the first statement correct.

The measure of the smaller angle is

= x - 20°

= 55° - 20°

= 35°

The second statement is incorrect.

The correct statement is a measure of the smaller angle is 35°.

Part B:

The figure shows the supplementary angle and the sum of the supplementary angle is 180°.

3x + 6x = 180°

9x = 180°

x = 20°

The first statement is incorrect, the correct statement is the value of x = 20.

The angle measure is 3x = 3 * 20 = 60° and 6x = 6 * 20 = 120°

This means that the second statement is correct.

Part C:

Given that the angle is complementary. the first angle is 2x and the second angle is (3x-5).

A complementary angle is the sum of the angles equal to 90°

2x + 3x-5 = 90

5x = 90 - 5

5x = 85

x = 17°

The first statement is incorrect. the correct statement is the value of x = 17.

The measure of the angle,

2x = 2 * 17 = 34

3x - 5 = 3 * 17 - 5 = 51 - 5 = 46

From the above result, second statement is also incorrect, the correct statement is the measure of the larger angle is 46°.

Learn more about complementary angles here:

https://brainly.com/question/5708372

#SPJ1

Answer:

123 PER PERSON

Step-by-step explanation:

All you have to do is divide 2,460 by 20 to get 123

Given, the height \($h=6$, the base $b_1=9$ and $b_2=12$.\)

The area of the trapezoid is given by the formula,

\(\[A = \frac{1}{2}h(b_1+b_2)\]\)

Substitute the given values,  

\(\[A = \frac{1}{2} \times 6 \times (9+12)\]\\\)

Simplifying the above expression,

\(\[A = 45 \text{ square feet}\]\)

Therefore, the area of the trapezoid is $45$ square feet.

The perimeter of a two-dimensional geometric shape is the entire length of the boundary or outer edge. It is the sum of the lengths of all the shape's sides or edges.

The perimeter of a square, for example, is calculated by adding the lengths of all four sides of the square.

Similarly, to find the perimeter of a rectangle, sum the lengths of two adjacent sides and then double the result because there are two pairs of adjacent sides.

To know more about perimeter visit:

https://brainly.com/question/6465134

#SPJ11

Answer:

50.3

Step-by-step explanation:

\(\pi {r}^{2} \times h\)

\(4\pi \times 4 = 50.3\)

The average rate of speed of the wind is 18 mph and the average rate of speed of the plane is 36 mph.

To find the average rate of speed of the wind and the plane, we can set up a system of equations.

Let x be the average airspeed of the plane and y be the average wind speed.

From the initial trip, we have the equation: (x + y) * (1/3) = 18.
This is because the total distance traveled is the sum of the plane's speed and the wind's speed, multiplied by the time taken.

From the return trip, we have the equation: (x - y) * (3/5) = 18.
This is because the total distance traveled is the difference between the plane's speed and the wind's speed, multiplied by the time taken.

Now, we can solve these two equations to find the values of x and y.

Simplifying the equations, we get:
1/3 * (x + y) = 18
3/5 * (x - y) = 18

Cross-multiplying and simplifying further, we get:
x + y = 54
3x - 3y = 90

Next, we can solve this system of equations using any method (substitution, elimination, etc.).

Adding the two equations, we get:
4x = 144
x = 36

Substituting the value of x into one of the equations, we get:
36 + y = 54
y = 18

Therefore, the average rate of speed of the wind is 18 mph and the average rate of speed of the plane is 36 mph.

To know more about average rate visit:

https://brainly.com/question/28739131

#SPJ11

Dalia had an average airspeed of

42

miles per hour.

The average wind speed was

12

miles per hour.

Answer:

I'm pretty sure it is D I'm not 100% sure though... sorry if it is wrong

The expressions represent the total sales of both people in this week, where S represents Stephanie worked and R represents the number of hours that Robert worked is B- 12S + 15R +18

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operation.

Now it is given that,

Number of pretzels sell by Stephanie per hour = 12

Number of pretzels sell by Robert per hour = 15

Since S represents the number of hours that Stephanie worked and R represents the number of hours that Robert worked

So, Number of pretzels sell by Stephanie in S hour = 12S

Number of pretzels sell by Robert in R hour = 15R

Now it is also given that, Robert sold an additional 18 pretzels

So, Total Number of pretzels sell by Robert in R hour = 15R + 18

So, the expression for the total sales of both people in this week

Total Number of pretzels sell by Stephanie + Total Number of pretzels sell by Robert

= 12S + 15R + 18

Thus, the expressions represent the total sales of both people in this week, where S represents Stephanie worked and R represents the number of hours that Robert worked is B- 12S + 15R +18

Learn more about algebraic expression :

https://brainly.com/question/23270878

#SPJ6