✓-32

imaginary numbers​

Answer:

1/3 liters. or 33.33333 ml

Step-by-step explanation:

1 2/5 + 1 3/5 = 3

3 liters of juice is there.

3 liters of juice/9 glasses.

1/3 liters of juice is in every glass

Answer:

true

Step-by-step explanation:

The probability of  getting 2 on the first roll and not getting 4 on the second roll is 5/36.

The two events mentioned are independent.

Given, first event getting 2 on the first roll and second event getting 4 in second roll.

So, the first roll of the die is independent of the second roll.Therefore, the probabilities can be directly multiplied.

P (getting first 2) = 1/6

P (no second 4) = 5/6

Therefore P (getting first 2 and no second 4) = 1/6 x 5/6  = 5/36

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The answer is (a) 1/√5 ( i-2j).

We can find the normal vector to the surface by computing the gradient of the surface and evaluating it at the given point.

The surface is given by the equation:

f(x, y) = 2x² - 2xy + yx

Taking the partial derivatives with respect to x and y:

fx = 4x - 2y

fy = x + 2

So the gradient vector is:

∇f(x, y) = (4x - 2y)i + (x + 2)j

Evaluating this at the point (2, 4):

∇f(2, 4) = (4(2) - 2(4))i + (2 + 2)j = 4i + 4j

To get a unit normal vector, we divide this by its magnitude:

|∇f(2, 4)| = √(4² + 4²) = 4√2

n = (4i + 4j)/[4√2] = 1/√2 (i + j)

To find a normal vector that is also a unit vector, we divide by its magnitude again:

|n| = √2

n/|n| = 1/√2 (i + j)

So the answer is (a) 1/√5 ( i-2j).

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Answer:

there will only be one 3

Step-by-step explanation:

see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .

The effect under the scenarios are:

Total Dividend = $17,500

Dividend per Share = Total Dividend / Number of Shares

= $17,500 / 2,000

= $8.75 per share

Effect on Share Price:

Typically, when a dividend is paid, the stock price tends to decrease by the amount of the dividend. Therefore, the stock price per share would decrease by the dividend per share:

New Stock Price per Share = Current Stock Price - Dividend per Share

= $64 - $8.75

= $55.25

New Shares Outstanding = Current Shares Outstanding - Number of Shares Repurchased

= 2,000 - 273.44

= 1,726.56 shares

New Stock Price per Share = Total Amount Spent / New Shares Outstanding

= $17,500 / 1,726.56

= $10.14

EPS = Earnings / Number of Shares

= $1.89 / 2,000

= $0.000945

The PE (Price-to-Earnings) ratio is calculated by dividing the stock price per share by the EPS. Let's calculate the PE ratio under each scenario:

PE Ratio before the decision = Stock Price / EPS

= $64 / $0.000945

= 67772.49

PE Ratio with Extra Dividend = New Stock Price per Share / EPS

= $55.25 / $0.000945

≈ 58413.92

PE Ratio with Share Repurchase = New Stock Price per Share / EPS

= $10.14 / $0.000945 ≈ 10727.51

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An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.

An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.

In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.

The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.

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Step-by-step explanation:

look it is very easy.

use formula of simple interest

Step-by-step explanation:

it's 8/7 hope u get it ur answer

Answer:

8/7

Step-by-step explanation:

ALL YOU ARE DOING IS FLIPPING IT AROUND 7/8 TO 8/7

The fundamental difference between a sample survey with nonresponse and a volunteer sample is the way participants are selected and the biases that may result from each approach. While nonresponse in a sample survey can lead to nonresponse bias, volunteer samples are more susceptible to selection bias.

The fundamental difference between a sample survey of human beings that may suffer from nonresponse and data using a volunteer sample is the way participants are selected and the potential biases that may arise.
In a sample survey, a random selection of individuals is chosen from the target population. However, nonresponse can occur when some of these selected individuals fail to participate or provide incomplete information. This can lead to nonresponse bias, which affects the representativeness of the sample and the accuracy of the results. To minimize nonresponse bias, researchers should ensure that their survey design and data collection methods encourage participation and provide clear instructions for respondents.
On the other hand, a volunteer sample consists of participants who willingly choose to participate in the study, usually in response to an open invitation. This approach is more prone to selection bias, as the individuals who volunteer may not be representative of the target population. They may have certain characteristics or attitudes that motivated them to participate, leading to biased results that may not generalize to the broader population. To address selection bias, researchers should carefully consider the recruitment method and the potential impact of volunteerism on their findings.
In summary, the fundamental difference between a sample survey with nonresponse and a volunteer sample is the way participants are selected and the biases that may result from each approach. While nonresponse in a sample survey can lead to nonresponse bias, volunteer samples are more susceptible to selection bias. Researchers must be mindful of these biases when designing and conducting their studies.

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The number of minutes that she practiced in a day will be 175 minutes per day.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Yaritza practices the piano for 875 minutes in 5 weeks.

The number of minutes that she practiced in a day will be given as,

Rate = 875 / 5

Rate = 175 minutes per day

The number of minutes that she practiced in a day will be 175 minutes per day.

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The simplified form of the expression as given in the task content is; 12.

The expression given in the task content can be simplified by means of PEMDAS guidelines as follows;

3 – (−2) + |−7|

= 3 +2 +7

= 12.

Hence the simplified form of the expression is 12.

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Answer:

Step-by-step explanation:

9.500 x 1000

1 x 1000

=  

9500/ 1000

next

9500/500

----------------

1000/500

=  

19/ 2

so 19/2 is the answer

Step-by-step explanation:

Permit me to re-write it as 9.5/1

so, multiply both the numerator and the denominator by 10 to clear the decimal

then we have,

95/10

divide both the numerator and the denominator by 5

we have,

19/2

converting to proper fraction the answer is,

9½

Answer:

아홉

Step-by-step explanation:

The value of c for each situation is as follows: (a) c = -0.80 (b) c = 1.64 (c) c = 2.55 (d) c = -0.50.

We will use the z-table to find the corresponding z-scores.

(a) For p(z < c) = 0.2119, look for 0.2119 in the z-table, and find the closest value.

In this case, it is approximately 0.2118, which corresponds to a z-score of -0.80.

So, c = -0.80.

(b) For p(-c < z < c) = 0.9030, first we need to find p(z < c) since it is symmetrical around the mean.

This means p(z < c) = 1 - (1 - 0.9030) / 2 = 0.9515.

Look for 0.9515 in the z-table, and the closest value is 0.9517, which corresponds to a z-score of 1.64.

So, c = 1.64.

(c) For p(z < c) = 0.9948, look for 0.9948 in the z-table, and find the closest value.

In this case, it is approximately 0.9949, which corresponds to a z-score of 2.55.

So, c = 2.55.

(d) For p(z > c) = 0.6915, we need to find p(z < c) first.

p(z < c) = 1 - 0.6915 = 0.3085.

Look for 0.3085 in the z-table, and the closest value is 0.3085, which corresponds to a z-score of -0.50.

So, c = -0.50.

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Hello!

f(x) = x² + 12x <=>

<=> a = 1, b = 12 <=>

<=> x = -12/2×1 <=>

<=> x = -6 <=>

<=> f(-6) = -36 <=>

<=> (-6; -36)

Good luck! :)

The solution of the exponent equation \(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\) will be negative 0.6.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

\(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\)

Simplify the equation, then we have

\(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\\\\\rm 4^{(2x+5 + 3x)}= 4^2\)

The base on both sides is the same. Then compare the exponent, then the equation is written as,

2x + 5 + 3x = 2

5x = 2 - 5

5x = - 3

x = - 0.6

The solution of the exponent equation \(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\) will be negative 0.6.

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The Histogram is explained in the solution below.

To create a histogram of the given data, we need to determine the frequency of each value and represent it graphically.

Here's a histogram for the provided data:

Number of Customers   Frequency

0 - 5                                        **

5 - 10                                       ***

10 - 15                                     ****

15 - 20                                    *****

20 - 25                                      **

In this histogram, the x-axis represents the ranges of the number of customers (e.g., 0-5, 5-10, etc.), and the y-axis represents the frequency of occurrence for each range.

The asterisks (*) indicate the frequency of customers falling within each range.

To generate the histogram, you count the occurrences of each value within the given ranges.

For example, there are 2 occurrences () of values between 0-5, 3 occurrences (*) between 5-10, and so on.

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Answer:

Step-by-step explanation:

The distance between the vertex and the directrix is 4 units, that means that p = 4 in the equation

\((y-k)^2=4p(x-h)\) and h and k are the coordinates of the vertex. Filling in:

\((y+4)^2=4(4)(x+2)\) which simplifies to

\((y+4)^2=16(x+2)\) choice C

Option C is correct, (y+4)² = 16(x+2) is the the equation of the parabola, in vertex form, with vertex at (-2,-4) and directrix x = -6

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

The focus of the parabola is at a point that is equidistant to the vertex and the directrix.

Since the directrix is x = -6, the focus is at (-2+4,-4) = (2,-4).

The vertex form of the equation of a parabola is given by:

(y - k)² = 4p(x - h)

where (h, k) is the vertex and p is the distance between the vertex and focus.

In this case, (h, k) = (-2,-4) and the focus is at (2,-4). Therefore, p = 4.

Substituting the values into the vertex form equation, we get:

(y + 4)² = 4(4)(x + 2)

Simplifying, we get:

(y + 4)² = 16(x + 2)

Hence, (y+4)² = 16(x+2) is the the equation of the parabola, in vertex form, with vertex at (-2,-4) and directrix x = -6

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Answer:

0.583

Step-by-step explanation:

We know that

\(\frac{7}{12}\)

is the same as

7÷12

Then using

Long Division for 7 divided by 12

and rounding to a Max of 3 Decimal Places gives us

=0.583

If the universal set is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} then (A ∪ B) ∩ C = {1, 3, 5}, A' U B = {0, 2, 4, 6, 7, 8, 9} and  (A ∩ C)' = {0, 2, 4, 6, 7, 8, 9}.

The universal set is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

To find (A ∪ B) ∩ C, we first need to find A ∪ B and then find the intersection with C.

A ∪ B is the set of all elements that are in A or B, so:

A ∪ B = {1, 2, 3, 4, 5, 6, 8}

Now we need to find the intersection of A ∪ B and C:

(A ∪ B) ∩ C = {1, 3, 5}

Therefore, (A ∪ B) ∩ C = {1, 3, 5}.

b. A' is the complement of A, which means it is the set of all elements in U that are not in A.

A' = {0, 6, 7, 8, 9}

A' U B is the set of all elements that are in A' or B, so:

A' U B = {0, 2, 4, 6, 7, 8, 9}

Therefore, A' U B = {0, 2, 4, 6, 7, 8, 9}.

c. A ∩ C is the set of all elements that are in both A and C:

A ∩ C = {1, 3, 5}

(A ∩ C)' is the complement of A ∩ C, which means it is the set of all elements in U that are not in A ∩ C:

(A ∩ C)' = {0, 2, 4, 6, 7, 8, 9}

Therefore, (A ∩ C)' = {0, 2, 4, 6, 7, 8, 9}.

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The area of the rhombus is approximately 112.5 square centimeters.

In a rhombus, all internal angles are equal, so we know that the opposite angles are congruent.

Additionally, the diagonals of a rhombus bisect each other at right angles, forming four congruent right triangles.

Let's denote the length of one diagonal as 15 cm, and the lengths of the sides of the rhombus as a.

Using the Pythagorean theorem, we can find the length of the other diagonal.

Let's label it as d.

In each right triangle, the hypotenuse is the length of a side, which is a, and one leg is half the length of the diagonal, which is 15/2 = 7.5 cm.

Applying the Pythagorean theorem, we have:

a² = (7.5)² + (7.5)²

a² = 56.25 + 56.25

a² = 112.5

a = √112.5

a ≈ 10.61 cm

Thus, the length of each side of the rhombus is approximately 10.61 cm.

Since the diagonals of a rhombus are perpendicular bisectors of each other, the other diagonal (d) is equal to the square root of the sum of the squares of the two sides.

Hence:

d² = a² + a²

d² = 2a²

d = √(2a²)

d = √(2 \(\times\) 10.61²)

d ≈ √(2 \(\times\) 112.5)

d ≈ √225

d ≈ 15 cm

So, the length of the other diagonal is approximately 15 cm.

To find the area of the rhombus, we can use the formula:

Area = (diagonal₁ \(\times\) diagonal₂) / 2

Substituting the values, we get:

Area = (15 \(\times\) 15) / 2

Area = 225 / 2

Area = 112.5 cm²

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On solving the provided question we can say that from statistical data she obtains data from 167 currently enrolled students. in this context, the variable of interest would be age

Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Produsul Personal waste from concerts A data element is a feature (or attribute) data such as height, origin country, income, etc. that is measured or tallied. Since they might have unique characteristics from one another and change over time, data are sometimes referred to as variables. Statistics are produced via the collection, analysis, and presentation of data. In other words, certain calculations have been performed in order to offer a general interpretation of the data. Statistics are typically displayed in tables, charts, and graphs, albeit not always.

she obtains data from 167 currently enrolled students. in this context, the variable of interest would be age

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When mapping the graphemes in the word "flight," students would need five boxes to represent the individual sounds or phonemes: /f/, /l/, /ai/ (represented by "igh"), /t/, and a shared box for the final sound /t/.

In the word "flight," students would need five boxes (phonemes) to map the graphemes.

Phoneme-grapheme mapping is a process used in phonics instruction, where students break down words into individual sounds (phonemes) and then identify the corresponding letters or letter combinations (graphemes) that represent those sounds. It helps students develop phonemic awareness and letter-sound correspondence.

Let's analyze the word "flight" in terms of its individual sounds or phonemes:

/f/ - This is the initial sound in the word and can be represented by the grapheme "f."

/l/ - This is the second sound in the word and can be represented by the grapheme "l."

/ai/ - This is a dipht sound made up of the vowel sounds /a/ and /i/. It can be represented by the grapheme "igh."

/t/ - This is the fourth sound in the word and can be represented by the grapheme "t."

The final sound in the word is /t/. However, in terms of mapping graphemes, the final sound does not require a separate box because the "t" grapheme used to represent it is already accounted for in the previous box.

Therefore, when mapping the graphemes in the word "flight," students would need five boxes to represent the individual sounds or phonemes: /f/, /l/, /ai/ (represented by "igh"), /t/, and a shared box for the final sound /t/.

By segmenting words into phonemes and mapping graphemes, students can strengthen their understanding of the sound-symbol correspondence in written language and develop decoding skills essential for reading and spelling.

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Answer:

8

Step-by-step explanation:

The absolute value of |x| is x

-x = -8

Distribute the - on the other side but since two negatives make a positive:

- and - = +

x = 8

Hope this helped.

Answer:

The first and the third answer!

Step-by-step explanation:

The slope is NOT -6, it is -3/2 !!

The y intercept is 0

and the last one isn't right bc the slope and intercept is wrong!!!

I hope this helps, tho!! Have an awesome day :D

5)

we need first to calculate the radius of the circumference, this is the distance between the center to any point of the circumference, then the radius will be:

then the circumference equation is: