A student incorrectly says the volume of the regular
hexagonal prism, to the nearest cubic centimeter, is 1,546 cm³. What is the
correct volume? What error did the student most likely make?

Answer: 16

Step-by-step explanation:

48/3=16

Answer: x= 20.3333 degress

Step-by-step explanation:

61 degrees=3x

3x=61 degrees

x=61 degrees/3

x=20.3333 degrees

Answer:

P= 29.389 ~ 29.4

Step-by-step explanation:

P= ns = 2rn sin(180/n)...... formula to find perimeter

p= 2(5)(5)sin(36)

p= 2(5)(5)sin(36)P= 50 ×0.5877

p= 2(5)(5)sin(36)P= 50 ×0.5877 P= 29.389 approximate to 29.4

The domain of the given function is {x,y:y<-x²/2}. The range of the given function is (0,∞). The level curve of the given function is x² + 2y = e^c. The domain of f(x, y) is the set of all values of x and y for which f(x, y) is defined.

Given function f(x,y) = ln(x² + 2y)

The domain of f(x, y) is the set of all values of x and y for which f(x, y) is defined. ln(x² + 2y) is defined only for x² + 2y > 0

Therefore, x² > -2y Or, y < -x²/2

Therefore, D = {(x, y) | y < -x²/2}

To find the range, let's solve for y

ln(x² + 2y) = k e^k = x² + 2y

2y = e^k - x² y = (e^k - x²)/2

Therefore, the range R = [0,∞)  

Let's find the level curves of the function f(x,y)

For any point (x, y) on the curve, f(x, y) = c where c is a constant. Thus, we have ln(x² + 2y) = cOr, x² + 2y = e^c

For c = 0, we have x² + 2y = 1, which is the level curve passing through the point (0, 1/2)

For c = 1, we have x² + 2y = e, which is the level curve passing through the point (0, (e-1)/2)

In general, x² + 2y = e^c is the level curve. Therefore, the domain of the given function is {x,y:y<-x²/2}.

The range of the given function is (0,∞). The level curve of the given function is x² + 2y = e^c.

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As per the central tendency, the mean of the data is 6.75, mode is 10 and the median is 20, and the mean value is the measure of central tendency and that would provide the best description of the average score.

In this case, the data on the number of times your friends went to the doctor this year is not evenly distributed, and there are some extreme values. 10 people went to the doctor once or less, while 4 people went four or more times. This suggests that the distribution is skewed towards the lower end, and there are some outliers on the higher end.

Given this distribution, the median would be a better measure of central tendency to describe the "average" score, as it is less sensitive to extreme values and outliers.

According to the values, the mode is 10 and the median is calculated as,

=> (4 + 10) / 2 = 40/2

=> 20.

In this case, the median would be the value that separates the middle 50% of the data from the top and bottom 25%.

Then the central tendency is calculated as,

=> (10 + 10 + 3 + 4) / 4

=> 27/4 = 6.75

The mean would be the middle value, which is 6.75.

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Complete Question:

You ask your friends how many times they went to the doctor so far this year and get these responses:

once or less - 10 people;

twice - 10 people;

three times - 3 people;

four or more times - 4 people.

which measure of central tendency (mean, median, or mode) would provide the best description of the average score.

The value of r in terms of x is : r = 100 × (10+x)/(100+x)

Information available from the question:

The volume of water in a certain tank is x percent greater than it was one week ago.

r is the percent of the current volume of water.

Now is x% greater than volume one week ago

=> V now = V week ago (1+x/100)

If r percent of the current volume is removed, the resulting volume will be 90 percent of the volume a week ago

=> V now (1-r/100) = 0.9 × V weekago

Using the first equation, V now/V weekago = (1+x/100)

Putting this in the second equation,

(1-r/100) (1+x/100) = 0.9

=> (100 - r) (100 + x) = 9000

=> r = 100 - [9000/(100+x)]

=> r = 100 × (10+x)/(100+x)

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Answer:  The middle school has 652 students.

Step-by-step explanation:  Divide the number of student in the high school by 4.5

\(\frac{2934}{4.5}\) = 652

Answer:

14°

Step-by-step explanation:

Supplementary angles add up to 180° so subtract 166 from 180.

Answer:

-2

Step-by-step explanation:

from one point to another, you go down 2 and over 1

Answer:

the answer is -2

Step-by-step explanation:

this is because for every unit it goes to the right it goes down 2 which makes it negitive if it is facing down and positive if facing up.

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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(-4) (5)= -20

I hope it's helpful

D. Poisson distribution most frequently describes the arrival rate in queuing​ theory.

The study of how people, things, or information move in a line is known as queuing theory. It is possible to develop services and systems that are more effective and economical by researching congestion and its causes.

Waiting lines in healthcare settings may be analysed using the queueing theory. Queuing analysis can be utilised for short-term solutions or for facility and resource planning because the majority of healthcare systems have extra capacity to tolerate random changes.

Because it offers the tools for queue optimization and helps to define queue characteristics like the average wait time, queueing theory is crucial. Queuing theory provides guidance for the design of successful and affordable workflow systems from a commercial perspective.

Correct option: D

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Answer:

  C. (3x)^2 - (2)^2

Step-by-step explanation:

Each of the two terms is a perfect square, so the factorization is that of the difference of squares. Rewriting the expression to ...

  (3x)^2 - (2)^2

highlights the squares being differenced.

__

We know the factoring of the difference of squares is ...

  a^2 -b^2 = (a -b)(a +b)

so the above-suggested rewrite is useful for identifying 'a' and 'b'.

Answer:

m∠LMN = 29°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Set up equation

m∠LMN and m∠NMP must add up to m∠LMP

(2x - 1)° + (5x + 3)° = 107°

Step 2: Solve for x

Step 3: Find m∠LMN

Answer:

A= (3*X - 6\(\sqrt{x}\))/(X-4)

A=(3*2 - 6\(\sqrt{2}\))/(2-4)= -3+3\(\sqrt{2}\)

A=(3*4 - 6\(\sqrt{4}\))/(4-4) Unknown

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

so you want to input the numbers into variables so for (p+q)^2 you input p as 4 and q as 8 (4+8)^2 and then you add 4+8 which is 12. Then you have to do 12 to the power of 2 which is 12x12 and the answer to that is 144. For the bottom you input p as 4 and then for -2q you have to input the 8, -2(8) and that equals to -16 so then it's 4-16 so it equals to -12. Then you have to do -12 divided by 12 which equals to 1.

Answer:4.62x10^13

Step-by-step explanation:

Answer:

Greta will pay $28.5 in tax.

Step-by-step explanation:

To find the percent of something, you need to put the percentage in decimal or fraction form. To do this, put the number over 100 (6/100) or move the decimal 2 places to the left (.06). Then, multiply by the number you are taking the percentage of.

.06 × 475 = 28.5

Answer:

cos θ = 4/5.

tan θ = 3/4.

Step-by-step explanation:

Given sin θ = 3/5, we can find the value for the other side of the right triangle.

Using the Pythagorean formula, we can derive the value of this other leg.

5² = 3² + x²

x = 4.

Since sin θ is O/H, the Hypoteneus is 5 and the Opposite side is 3. The Adjacent side is 4, which will be used when finding cos θ and tan θ.

cos θ= A/H --> cos θ = 4/5.

tan θ= O/A --> tan θ = 3/4.

Answer:

C. Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

Step-by-step explanation:

Rigid transformations are processes that can be applied to change the orientation or size of a given object, while its shape is maintained. Examples are; rotation, reflection, dilation and translation.

To map ΔRST to ΔXYT, the rigid transformations required are; reflection and rotation. ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

Therefore, option C is correct from the given question.

The correct statement is, "Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y".

Given that,

Triangles R S T and X Y T are congruent.

Triangle R S T is reflected across a line and then rotated at point T to form triangle X Y T.

We have to determine,

Is there a series of rigid transformations that could map ΔRST to ΔXYT? If so, which transformations could be used?

According to the question,

Rigid body transformations are the ones that preserve the shape and size of the object i.e. magnitude and the angle also. Pure rotations and pure reflections are rigid body transformation

Rigid transformations are processes that can be applied to change the orientation or size of a given object, while its shape is maintained. Examples are; rotation, reflection, dilation, and translation.

The two types of motion a rigid body can undergo are; A macroscopic body is made up of a very large number of atoms. Describing the motion of such a system without some simplifications is clearly impossible.

To map ΔRST to ΔXYT, the rigid transformations required are; reflection and rotation. ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

Hence, Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

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The probability that it takes from 2 to 3 minutes to fill an order is approximately 0.2562 or 25.62%.

Given that the time it takes for orders to be filled is exponentially distributed with a mean of 1.5 minutes.

We know that the probability density function (PDF) of exponential distribution is given by:

f(x) = (1/β) * e^(-x/β)

where β is the mean of the distribution.

Therefore, in this case, the PDF is:

f(x) = (1/1.5) * e^(-x/1.5)

To find the probability that it takes from 2 to 3 minutes to fill an order, we need to calculate the area under the PDF curve between 2 and 3 minutes.

P(2 < x < 3) = ∫2^3 f(x) dx

= ∫2^3 (1/1.5) * e^(-x/1.5) dx

= [-e^(-x/1.5)]2^3

= e^(-2/1.5) - e^(-3/1.5)

= 0.2562

Therefore, the probability that it takes from 2 to 3 minutes to fill an order is approximately 0.2562 or 25.62%.

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The congruent triangles in this problem are given as follows:

Triangles A and B.

Two figures are classified as congruent if their side lengths are the same.

If we rotate triangle B 180º over it's base, we have that it will have a similar format to triangle A, and also with the same side lengths.

Hence the congruent triangles in this problem are given as follows:

Triangles A and B.

With triangle C, no rotation would make it like A and B, with the same side lengths, hence it is not congruent to any of the triangles in this problem.

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Answer: y=-(4y-12)/2 + 3; x=0 y=3

Answer:

true negative ×negative =positive

Answer:

True

Step-by-step explanation:

n= negative

p= positive

n*n=p

p*p=p

n*p=n

Answer:

im pretty sure the last one

Step-by-step explanation:

Step-by-step explanation:

2 people scored 16-20

4 people scored 11-15

4 people scored 6-10

2 people scored 1-5

Chose the graph that mimics this info

(choose me for braininest)

The real-world problem involving a related set of two equations is given below:

Problem: Cost of attending a concert  is made up of base price and variable price per ticket. You are planning to attend a concert with your friends and want to know the number of tickets to purchase for lowest overall cost.

The related set of two equations are:

Equation 1: The total cost (C) of attending the concert is given by:

The equation C = B + P x N,

where:

B  = the base price

P  = the price per ticket,

N = the number of tickets purchased.

Equation 2: The maximum budget (M) a person have for attending the concert is:

The  equation M = B + P*X

where:

X = the maximum number of tickets a person can afford.

So by using the values of B, P, and M, you can be able to find the optimal value of N that minimizes the cost C while staying within your own budget M. so, you can now determine ticket amount to minimize costs and stay within budget.

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Answer:

Break even 126 units

105x - (90x + 1890)  Profits will be revenue minutes expenses.

The second answer.

Step-by-step explanation:

105x = 90x +1890  Subtract 90x from both sides

15x = 1890  Divide both sides by 15

x 126

They need to sell 126 units to break even.

105(91) -[90(91) + 1890]

9555-8190-1890

9555 - 16380

-6825

Selling 91 units will produce a loss of 6825

a^2 = 37^2 - 35^2

a^2 = 1369 - 1225

a^2 = 144

___

a = /144

a = 12

Weight is typically a measurement of the amount of mass or force an object or substance has. The number 46 by itself does not have a specific meaning in regards to weight.

In order to understand the significance of 46, it is necessary to know what unit of measurement it is being used in, as well as the object or substance being measured.

For example, if 46 is measured in grams, it could represent the weight of a small item, such as a pencil. If it is measured in pounds, it could represent the weight of a larger object, such as a bag of groceries. It is important to always consider the context and units being used in any weight measurement.

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