5x + 2 <22
Inequality

Answer:

550 ÷ 50 = 11

11 buses are needed

Answer:

As somas estão abaixo

Step-by-step explanation:

a) 158

b) 2095

c) 2819

d) 9082

Eu espero que isso ajude :)

Answer:

54

Step-by-step explanation:

║∦⇵π⇅⇵⇅⇵⇅⇵⇵⇵⇵⇵⇵⇄⇆⇄⇆

You can make a maximum of two tomato-cheese sandwiches. because you can only make as many tomato-cheese sandwiches as the number of cheese slices you have

To make a tomato-cheese sandwich, you need one tomato slice and one cheese slice. Since you have three tomato slices and two cheese slices, you are limited by the availability of cheese slices.

Therefore, you can only make as many tomato-cheese sandwiches as the number of cheese slices you have, which in this case is two.

The ingredient that limits the number of sandwiches you can make is the cheese slice. You have more tomato slices than cheese slices, so you cannot make more than two tomato-cheese sandwiches.

Even if you have extra tomato slices, you cannot make additional sandwiches because you do not have enough cheese slices to pair with them.

In summary, the number of tomato-cheese sandwiches you can make is determined by the ingredient with the lowest quantity,

which in this case is the cheese slice. Therefore, you can make a maximum of two tomato-cheese sandwiches.

To know more about number click here

brainly.com/question/28210925

#SPJ11

Hello there! I'll try to help you!

\(x^{m+2n} *x^{3m-8n}\)

Add the powers:

\(x^{4m-6n}\)

Notice that when we multiply the same variable, we add the powers. What I mean is the expression \(x^{2} y^{2}\) wouldn't be simplified.

Now we have \(\frac{x^{4m-6n} }{x^{5m-6n} } }\)

What we must do now is subtract the powers now that we divide

\(x^{4m-5m} :x^{6n-6n} \\x^{-m}\)

Apply the Negative Exponent Law:

\(\frac{1}{x^{m} }\)

And \(\frac{1}{x^{m} }\) is our simplified expression.

I know it's too late but I hope this helps you anyway

Hope it helps and sorry to infinity if it is wrong

If it is correct, please mark Brainliest!

If it is wrong, rate 4 stars

\(GraceRosalia\)

Hello there!

\(\frac{x^{m+2n} x^{3m-8n} }{x^{5m-6n} }\)

\(x^{m+3m} x^{2n-8n}\)

\(x^{4m} x^{-6n}\)

\(\frac{x^{4m-6n}}{x^{5m-6n} } \\\frac{x^{4m-6n-(-6n)}}{x^{5m} } \\\)

\(x^{4m-5m}\frac{1}{x^{m} }\)

Hope it helps!

Your best friend,

\(MysteriousNature\\(GraceRosalia)\)

To calculate the probability that at least three individuals must be typed to obtain the desired blood type (O+), we can consider the possible scenarios in which the O+ donor is selected.

Given information:

Four individuals are being considered.

Only one of them has blood type O+.

The individuals are selected in random order for typing.

Let's analyze the possible scenarios:

The O+ donor is selected first: In this case, only one individual needs to be typed to obtain the desired blood type. The probability of this scenario is 1/4 since there is only one O+ donor out of four individuals.

The O+ donor is selected second: In this case, the first individual must not have the O+ blood type, so the probability is 3/4. The second individual must have the O+ blood type, so the probability is 1/3. Therefore, the probability of this scenario is (3/4) * (1/3) = 1/4.

The O+ donor is selected third: In this case, the first two individuals must not have the O+ blood type, so the probability is (3/4) * (2/3). The third individual must have the O+ blood type, so the probability is 1/2. Therefore, the probability of this scenario is (3/4) * (2/3) * (1/2) = 1/4.

The O+ donor is selected fourth: In this case, the first three individuals must not have the O+ blood type, so the probability is (3/4) * (2/3) * (1/2). The fourth individual must have the O+ blood type, so the probability is 1/1 = 1. Therefore, the probability of this scenario is (3/4) * (2/3) * (1/2) * 1 = 1/4.

To find the probability that at least three individuals must be typed to obtain the desired blood type, we need to calculate the sum of the probabilities of the above scenarios:

P(at least three individuals must be typed) = P(1st scenario) + P(2nd scenario) + P(3rd scenario) + P(4th scenario)

= 1/4 + 1/4 + 1/4 + 1/4

= 4/4

= 1

Therefore, the probability that at least three individuals must be typed to obtain the desired blood type (O+) is 1 or 100%.

To know more about Probability visit-

brainly.com/question/31828911

#SPJ11

Triangle A′B′C′ is a dilation of ​triangle ABC​ about point P with a scale factor of 1/2. The dilation is a reduction.

A dilation is a transformation that changes the size of a figure, but not its shape. It can be either an enlargement or a reduction depending on the value of the scale factor.

If the scale factor is greater than 1, then the image will be larger than the original figure. This is called an enlargement.

If the scale factor is between 0 and 1, then the image will be smaller than the original figure. This is called a reduction.

In this case, the scale factor is 1/2, which is less than 1. Therefore, the image of triangle ABC is smaller than the original triangle, and the dilation is a reduction.

Learn more about dilation at https://brainly.com/question/31009907

#SPJ11

Answer:

4-5x

5x-4

Step-by-step explanation:

Therefore, the sum of the first 1234 terms of this sequence is 1234.

To find the sum of the first 1234 terms of the sequence consisting of 1's separated by blocks of 2's with n 2's in the nth block, we need to determine the number of blocks and the number of 1's in each block.

Let's examine the pattern of the sequence:

Block 1: 2's

= 1's

= 1 (1 2)

Block 2: 2's

= 2's

= 22 (1 22 1)

Block 3: 2's

= 3's

= 222 (1 222 1)

Block 4: 2's

= 4's

= 2222 (1 2222 1)

...

We observe that the number of 2's in each block is equal to the number of the block itself. So, in the nth block, there are n 2's.

Now, let's calculate the number of blocks required to reach the 1234th term:

To find the number of blocks, we need to determine the maximum block number before the 1234th term. We can calculate this by finding the sum of the series 1 + 2 + 3 + ... + n until the sum is greater than or equal to 1234.

The formula for the sum of the series 1 + 2 + 3 + ... + n is given by: S = (n/2)(n+1).

Let's solve this equation:

(n/2)(n+1) = 1234

\(n^2 + n - 2468 = 0\)

Using the quadratic formula:

n = (-1 + √(1 + 4*2468)) / 2

n ≈ 61.76

Since n must be a whole number, we take the ceiling of n, which gives us 62.

Therefore, there are 62 blocks in the sequence.

Next, let's calculate the number of 1's in each block:

In the nth block, there are n 2's. Since each 2 is separated by a 1, there are n + 1 terms in each block.

So, the number of 1's in each block is (n + 1) - n = 1.

Since there is always one 1 between two consecutive blocks, the total number of 1's in the sequence is equal to the number of blocks, which is 62.

Finally, let's calculate the sum of the first 1234 terms:

Each block has n + 1 terms, which gives us (n + 1) + (n + 1) + ... + (n + 1) (62 times).

Sum of (n + 1) repeated 62 times = 62(n + 1)

= 62 * 2

= 124.

In addition to the blocks, we have 1234 - 62 = 1172 remaining terms, which are all 1's.

So, the sum of the first 1234 terms is 62 + 1172 = 1234.

To know more about sequence,

https://brainly.com/question/20707381

#SPJ11

Answer:

≈62°

Step-by-step explanation:

sin B = opp

             hyp

sin B = 15/17

sin B = .88235

arcsin B ≈ 61.9°

Answer:

Part A

Eagle = 6 lbs * 60%

           = 6 * 0.6

           = 3.6 pounds

Bear = 105 lbs * 25%

         = 105 * 0.25

         = 26.25 pounds

3.6 + 26.25 = 29.85 pounds

Part B

Percent Increase = Change/Original * 100

                             = 10/105 * 100

                             = 9.52%

Given:

The figure of two triangles.

To find:

The similarity statement for the given triangles.

Solution:

The corresponding sides of similar triangles are proportional.

In the given triangles,

\(\dfrac{XY}{AB}=\dfrac{6}{12}\)

\(\dfrac{XY}{AB}=0.5\)

Similarly,

\(\dfrac{YZ}{BC}=\dfrac{3}{6}\)

\(\dfrac{YZ}{BC}=0.5\)

And,

\(\dfrac{XZ}{AC}=\dfrac{7}{14}\)

\(\dfrac{XZ}{AC}=0.5\)

Since \(\dfrac{XY}{AB}=\dfrac{YZ}{BC}=\dfrac{XZ}{AC}\), therefore

\(\Delta XYZ\sim \Delta ABC\)

It can be written as:

\(\Delta ZYX\sim \Delta CBA\)

Therefore, the correct option is A.

It appears that the pair of students experienced an unexpected outcome in their coin toss experiment, resulting in a majority of albino children (10 out of 16). This could have occurred due to reasons such as random variation, bias, sample size, or genetics of parents.

The occurrence of a majority of albino children from a pair of students' coin tosses may be due to chance or random variation. The probability of getting a specific outcome from a coin toss is 50/50, which means that getting a majority of heads or tails is possible but not guaranteed. One possible explanation for this occurrence is that the students' coin tosses were not truly random. There may have been some bias in their method or in the coin itself, which could have influenced the outcome.

Another possibility is that the sample size was too small to accurately reflect the expected outcome. With only 16 coin tosses, it is possible to get a result that is different from the expected outcome purely by chance. It is also important to consider that albino traits are inherited genetically, and the chance of having albino children may be influenced by the genetics of the parents. If the pair of students had unknowingly selected coins that were biased towards one side, it may have resulted in a majority of albino children due to chance or genetic factors.

Overall, the occurrence of a majority of albino children from a pair of students' coin tosses may be due to various factors such as chance, bias, sample size, or genetic factors. Further investigation and replication of the experiment may be necessary to determine the underlying cause of the deviation from the expected outcome.

Know more about genetic factors here:

https://brainly.com/question/26497428

#SPJ11

Answer:

B, or \(\frac{3}{2}\)

Step-by-step explanation:

Got 100% on my quiz. Other guy is incorrect.

Mathematical objects that can be easily scaled and rotated without losing their shape and identity are known as "rigid bodies."

In geometry, rigid bodies are defined as objects that maintain their shape and size under rigid motions, which include translations (shifting) and rotations.

These objects possess properties such as symmetry, congruence, and invariance under transformations. Examples of rigid bodies include circles, squares, cubes, and spheres.

The ability to scale and rotate rigid bodies while preserving their geometric properties makes them useful in various mathematical applications, such as coordinate transformations, geometric proofs, and modeling physical objects in engineering and physics.

Learn more about Geometry here:

https://brainly.com/question/31408211

#SPJ11

The true statement is: "Octave is the name of a particular interval size."

In music theory, an octave refers to the interval between two pitches where the higher pitch has a frequency that is exactly twice that of the lower pitch. It represents a doubling or halving of the frequency. For example, if we start on the note A and move up to the next A, we have traversed an octave.

An interval, on the other hand, refers to the distance between two pitches. It is the numerical representation of the difference in pitch between two notes.

The statement mentioning "interval as the name of a particular octave size" is incorrect because the octave is a specific interval size, not the other way around.

The statement suggesting that "the fifth is a kind of octave" is also incorrect. The fifth is a specific interval that represents the distance of five diatonic scale steps between two pitches.

Lastly, the statement that "a synonym for distance is octave" is not true. While an octave represents a specific interval size, the term "distance" is a more general term that can refer to the measurement between any two pitches, regardless of the specific interval size.

for such more question on interval

https://brainly.com/question/23558817

#SPJ8

Answer:

its -3600 or negative 3600, and +5000 or positive 5000

Answer:

Step-by-step explanation:

given that the function to predict the price is

y = 5.92x + 119.21

x= the number of year,

given that we are predicting from 1995-2015

the difference is 20years

So put x=20 in the expression we have

y = 5.92(20) + 119.21

y=118.4+119.21

y=237.61

the median price is $237.61

Answer: p=25%

Step-by-step explanation:We have a sample of 100 clients.

To find the probability that a randomly selected customer chooses a cold drink, we must first count how many people in the sample chose cold drinks.

The table shows that cold drinks were

8 small, 12 medium and 5 large.

Then the number of cold drinks was:

The probability that the customer ordered a small given that he or she ordered a hot drink is 67%.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given a table which shows the number of orders of coffee by first 100 customers.

Out of it,

Total number of orders which are hot = 5 + 48 + 22 = 75

Number of orders which are small out of the total hot drinks = 5

Probability = 5/75 = 0.6667 = 66.67% ≈ 67%

Hence the required percent is 67%.

Learn more about Probability here :

https://brainly.com/question/30034780

#SPJ7

Answer:

Not a function

Step-by-step explanation:

There are two points that correspond to the same variable

Hope this helps

Answer:

not a function

Step-by-step explanation:

There are two points that have the same x and  different y values

This would fail the vertical line test.

Answer:

- 4

Step-by-step explanation:

- 1 × f(- 1) - 4g(4) = - 1 × (- 8) - 4(3) = 8 - 12 = - 4

Answer:

see explanation

Step-by-step explanation:

∠ 1 and ∠ 3 are corresponding angles

each is in the same position ( the upper left hand corner) in its group of 4 angles.

Answer:

$0.50

Step-by-step explanation:

We know

A package of 8 hot dogs is on sale for $4

What is the price per hot dog?

4 / 8 = $0.50

So, the price per hot dog is $0.50

SANA ALL SMART HAHAHAHHAAHHAHAAHA

The only transformation that would carry rectangle ABCD onto itself is a single rotation of 180 degrees in a parallelogram.

Rectangle ABCD's characteristics and how each transformation affects its orientation and location must be examined in order to identify the collection of reflections and rotations that would carry the rectangle onto itself of a parallelogram.

First, using the provided coordinates, let's determine the sides of the rectangle: AB is parallel to DC, and AD is parallel to BC. Also, we can observe that the lengths of AB and AD are equal to DC and BC, respectively, indicating that the opposite sides are congruent.

The rectangle is first suggested to be rotated 180 degrees. This transformation simply maps each point to its corresponding point on the rectangle; the rectangle's orientation is left unchanged. Hence, rectangle ABCD would be carried onto itself by this transformation alone.

The rectangle is first reflected over the x-axis, rotated 180 degrees, and then reflected once more over the x-axis is the second transformation suggested. This series of transformations flips the rectangle's orientation while mapping each point to its equivalent point on the other side of the rectangle. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

The third suggested transformation involves reflecting the rectangle first over the y-axis, then over the line y = x, and then back over the y-axis. The rectangle's orientation is maintained but its position is altered by this series of modifications. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

The rectangle is to be rotated 180 degrees, reflected over the line y = x, and then reflected over the x-axis as the fourth transformation suggested. Each point is moved and mapped to a point on the other side of the rectangle via this series of transformations. The rectangle's orientation is also altered, though. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

Hence, a single 180° rotation is the only transformation that could turn rectangle ABCD upon itself.

In conclusion, we studied the features of the rectangle and the consequences of each transformation on its orientation and location to find the set of reflections and rotations that would transport rectangle ABCD onto itself. In contrast to the other suggested transformations, we discovered that only a single rotation of 180 degrees would keep the rectangle's orientation and location intact.

Learn more about parallelogram here:

https://brainly.com/question/29147156

#SPJ1

Answer:

D

Step-by-step explanation:

D is more appropriate for distance formula because you are looking for the whole length between two points rather than the point in between the the two points such as in the other answers.

To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

To learn more about eigenvalues click here: brainly.com/question/29861415

#SPJ11

Answer:

720 cm²

Step-by-step explanation:

Given 2 similar cylinders with ratio of height = a : b , then

ratio of areas = a² : b²

Here ratio of heights = 1 : 2 , then

ratio of area = 1² : 2² = 1 : 4 , that is

Surface area of B is 4 times surface area of A

surface area of B = 4 × 180 = 720 cm²