If 89.2 mL of a liquid has a mass of 75.2 g, calculate the liquid’s density.

Answer:

La medida del polígono que es igual al radio de la circunferencia es el segmento de recta comprendido entre el centro geométrico del polígono y cualquiera de sus vértices, cuyo nombre es también radio.

Step-by-step explanation:

La medida del polígono que es igual al radio de la circunferencia es el segmento de recta comprendido entre el centro geométrico del polígono y cualquiera de sus vértices, cuyo nombre es también radio.

Answer:

She needs to sell 15 boxes of cookies to reach her goal

a. The Hamiltonian is given by:

H = T + V = (p² / 2I) + 0 = p² / 2I

b. Since the commutator is zero, we can conclude that the Hamiltonian and L commute.

c. The energy eigenfunctions are given by:

ψ\(_{n}\)(θ, φ) = √((2n + 1) / (4π)) × \(e^{(inφ)\) × P\(_{n}\)(cosθ)

When time is not explicitly included in the function, it is used to characterize a dynamic system (such as the motion of a particle) in terms of momentum components and coordinates of space and time, and it is equal to the total energy of the system.

(a) The Hamiltonian is given by:

H = T + V = (p² / 2I) + 0 = p² / 2I

where T is the kinetic energy and V is the potential energy. Since the rotator is constrained to rotate in the x-y plane, there is no potential energy.

b. To show that the Hamiltonian and L commute, we need to calculate their commutator:

[H, L] = HL - LH

where L is the angular momentum operator given by L = r x p, where r is the position vector and p is the momentum operator.

HL = (p² / 2I) × (r × p) - (r × p) × (p² / 2I)

  = (1/2I) × (p² × r × p - r × p × p²)

  = (1/2I) × [p², r x p]

LH = (r x p) × (p² / 2I) - (p² / 2I) × (r x p)

  = (1/2I) × (r × p × p² - p² × r x p)

  = -(1/2I) × [p², r x p]

Therefore, [H, L] = [p², r x p] / 2I - [p², r x p] / 2I = 0.

Since the commutator is zero, we can conclude that the Hamiltonian and L commute.

c. The allowed energies of the rigid rotator are given by:

E\(_{n}\)= (n² × h²) / (8I)

where n is a positive integer and h is Planck's constant. The energy levels are quantized and spaced equally apart, with the energy increasing as n increases.

The energy eigenfunctions are given by:

ψ\(_{n}\)(θ, φ) = √((2n + 1) / (4π)) * \(e^{(inφ)\) * P\(_{n}\)(cosθ)

where θ is the polar angle and φ is the azimuthal angle, and P_n(x) is the n-th order Legendre polynomial. The eigenfunctions are normalized and orthogonal, with each energy level having a unique set of eigenfunctions.

Learn more about moment of inertia on:

https://brainly.com/question/14460640

#SPJ4

Answer:

This is the Distributive Property.

Answer:

Y= -2x+4

Step-by-step explanation:

Answer:

x = ~4.40 or \(\sqrt{19.37}\)

Step-by-step explanation:

This is a right triangle, so we will use the Pythagorean Theorem.

The theorem goes as follows: \(a^2 + b^2 = c^2\)

Let's set x as the a value in the theorem. Plug in 6.8 for b, and 8.1 for c.

\(x^2 + (6.8)^2 = (8.1)^2\)

Then, simplify!

\(x^2 + 46.24 = 65.61\)

Subtract 46.24 on both sides.

\(x^2 = 19.37\)

Take the square root of both sides

\(x =\sqrt{19.37}\)

Voila!

Answer:

The first one is correct.

Step-by-step explanation:

The first one is correct, because Camryn went fast. And then she she went at a slower pace, and then she picked up speed again and starting running. FFianlly, the line would go horizontally, because her distance is not changing.

Answer:

the first one is correct my hamster think it is correct

Step-by-step explanation:

The relative frequency for red or blue is F = 0.64

Here we know that we have bag with some marbles of 3 different colors, red, green and blue.

We want to find the relative frequency of getting a marble either red or blue.

To get that, we need to take the quotient between the number of times that we need one of these outcomes, and the total number of times that the experiment was performed.

Here we know that the experiment was performed 25 times, and the outcomes were:

red = 8 times

blue = 8 times.

Then the relative frequency is:

F = (8 + 8)/25

F = 16/25

F = 0.64

Learn more about relative frequency at:

https://brainly.com/question/3857836

#SPJ1

Answer:

75 m

Step-by-step explanation:

1m 60 cm = 160 cm

160cm-85cm= 75 cm

~ 75 cm of tape is left in the roll.

The decimal number that lies between 0.7 and 0.8, has three digits to the right of the decimal point, and whose sum of the digits is 24 is 7.98.

A decimal number is a number that has a fractional part represented by a decimal point. The digits to the right of the decimal point represent values that are smaller than 1.

In this problem, we are given that the decimal number has three digits to the right of the decimal point and that its sum of the digits is 24. Let's call the decimal number x. We can write an equation to represent the sum of the digits:

x = a + b/10 + c/100

Where a, b, and c are the digits of x.

We know that 0.7 < x < 0.8 and that the sum of the digits of x is 24, so we can write two more equations:

0.7 < a + b/10 + c/100 < 0.8

a + b + c = 24

By solving these three equations, we can find the decimal number x.

We know that a must be 7 because 0.7 < x < 0.8, so a = 7. We also know that b + c = 24 - 7 = 17. Now we need to find two digits b and c such that b + c = 17 and b/10 + c/100 is between 0 and 0.1.

The largest value of b that still satisfies this condition is 9. This means that

=> c = 17 - 9 = 8.

Therefore, the decimal number

=> x = 7 + 9/10 + 8/100 = 7.98.

To know more about decimal here.

https://brainly.com/question/9543292

#SPJ4

It will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

The current Hours of Service (HOS) rules for truck drivers stipulate that a truck driver cannot drive for more than 11 hours after 10 consecutive hours off duty.

Additionally, the driver is not allowed to drive beyond 14 hours after coming on duty.

The driver's shift includes both driving and non-driving time.

Therefore, it is necessary to consider the total amount of time spent on the job.

The truck driver will have to stop for rest breaks, refueling, or other reasons during the 450-mile journey to Pittsburgh, Pennsylvania. The driver is required to take a 30-minute break after eight hours of driving.

Therefore, the minimum number of clock hours (not driving hours) it will take the truck driver to travel the 450-mile distance from Charlotte, NC to Pittsburgh, PA is calculated as follows:

Time for the trip = (Distance ÷ Average Speed) + Breaks

Time for the trip = (450 ÷ 50) + (30 ÷ 60) × 2

Time for the trip = 9 + 1

Time for the trip = 10 clock hours

Therefore, it will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

Know more about Hours of Service (HOS) here:

https://brainly.com/question/32726922

#SPJ11

Answer:

\(9x+4x^2-5y\)

Step-by-step explanation:

Hi there!

Length of the field: \(14x-3x^2+2y\) units

Width of the field: \(5x-7x^2+7y\) units

To find how much greater the length of the field is than the width, subtract the width from the length:

\(14x-3x^2+2y-(5x-7x^2+7y)\)

Open up the parentheses

\(= 14x-3x^2+2y-5x+7x^2-7y\)

Combine like terms

\(= 14x-5x-3x^2+7x^2+2y-7y\\= 9x+4x^2-5y\)

Therefore, the length is \(9x+4x^2-5y\) units greater than the width.

I hope this helps!

Answer:

nth term = the previous number times 4(x-1)

Step-by-step explanation:

As you see the first tower has 1 then it is 5 for the next tower and then it is 13 for the next tower and then 25. Well this means that as you see, the expressions adds 4 to the previous 4 and then adds to the tower. Let me show you how it works.

Tower 1: 1

Tower 2: 1 + 4 = 5

tower 3 : 5 + 8 = 13

tower 4: 13 + 12 = 25

tower 5: 25 +16 = 41

Jerry can do the job in 140 minutes by himself

Tom can do a Job in 140 minute

In 1 minute tom can do 1/140 of the job

Tom and Jerry can together do the job in 70 minutes

In 1-minute tom and jerry can do 1/70 of the job

At 1 minute:

1/70 of the job = 1/140 of the job + Job done by Jerry in 1 minute

1/70 - 1/140 = Job done by Jerry in 1 minute

1/140 = Job done by Jerry in 1 minute

To complete the full job Jerry needs 140 minutes

Learn more about work and time:

https://brainly.com/question/3854047

#SPJ4

Answer:

800

Step-by-step explanation:

1280 - (1280 x (3/8)) = 800 or

1280 x (5/8) = 800

Answer:

800

Step-by-step explanation:

then 5 out of 8 are athletes

The fraction of this is:

\(\frac{5}{8} =0.625\)

\(1280(.625)=800\)

I hope this help you

The applicants who are granted admission is 0.8413, The applicants who will score 860 or higher is 0.0228, and there will be 2023 applicants that are expected to be qualified to the university.

a) The scores in this problem are known to be normally distributed with a mean of 700 and a standard deviation of 80. To find the proportion of all applicants taking the exam who are granted admission, we must compute the Z-score of 620.

We then need to find the area under the normal curve to the right of this Z-score.1. Z-score of 620: (620 - 700)/80 = -1.00Therefore, P(X ≥ 620) = P(Z ≥ -1.00) = 0.8413 (using a standard normal table)

So, the proportion of all applicants taking the exam who are granted admission is approximately 0.8413.

b) To find the proportion of all applicants who will score 860 or higher on the exam, we must compute the Z-score of 860.

We then need to find the area under the normal curve to the right of this Z-score.2. Z-score of 860: (860 - 700)/80 = 2.00

Therefore, P(X ≥ 860) = P(Z ≥ 2.00) = 0.0228 (using a standard normal table)So, the proportion of all applicants who will score 860 or higher on the exam is approximately 0.0228.

c) Using the proportions calculated in parts (a) and (c), we can expect the following number of applicants to be qualified for admission to the university.

Qualified applicants = (2400)(0.8413) = 2023 (rounded to the nearest whole number)

Therefore, we expect 2023 applicants to be qualified for admission to the university.

Learn more about probability here:

https://brainly.com/question/30448794

#SPJ11

Answer:

The numbers are 23,24, and 25 and the smallest one is 23.

=23

Answer:

angle 2 is 104

angle 9 is 66

angle 10 is 114

angle 7 is 76

Step-by-step explanation:

Answer:

23 miles/gallon

y=23x

because y is the amount of miles and x is the amount of gallons.

Answer: 10.8 seconds

Step-by-step explanation:

\(-16t^2 + 170t+40=10\\\\16t^2 -170t-30=0\\\\t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)\)

1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

Learn more about Solving equations here:

brainly.com/question/13729904

#SPJ9

Answer:

15-6 = L

Step-by-step explanation:

2 + 4 = 6

Together, Polly and Molly have written 6 letters so to find out how many they have left to write we subtract 6 from 15 which will give you your answer (L).

I hope this helps and makes sense :)

Answer:

400

Step-by-step explanation:

120 + .5x = 80 + .6x

subbtract .5x from each side

120 = 80 + .1x

then subtract 80 from each side

40 = .1x

finally divide by .1 on each side

400 =x

Answer:

Step-by-step explanation:

5x(4x + 7)

a) To prove that if v is a minimum vertex in a directed acyclic graph (DAG) D, then v is a minimal vertex in D, we need to show that there is no vertex u such that u < v in terms of vertex weight or value.

By definition, a minimum vertex is the vertex with the lowest weight or value in the graph. If v is a minimum vertex, it means that no other vertex in the graph has a lower weight or value than v.Now, if there exists a vertex u such that u < v, it would contradict the assumption that v is a minimum vertex because u would have a lower weight or value than v. Therefore, v cannot have any vertex u such that u < v, and hence v is a minimal vertex in D.

b) The converse of the statement in part (a) is: "If v is a minimal vertex in a directed acyclic graph (DAG) D, then v is a minimum vertex in D."

c) The converse statement in part (b) is false. A minimal vertex does not necessarily imply that it is a minimum vertex in a DAG. A minimal vertex means that there is no other vertex with a smaller weight or value directly connected to it, but there might be vertices elsewhere in the graph with even lower weights or values. Therefore, the converse statement does not hold true for all cases, and it can be disproven by providing a counterexample.

To learn more about directed acyclic graph click here : brainly.com/question/32264593

#SPJ11

Answer:

1. it is 7 cm long

2. it is a chord

3. it is the diameter of the circle

Step-by-step explanation:

Here, we want to select three statements that are true about CB

From what we have, CB runs from one edge to the other, passing through the center of the circle

Also, as we can see, AD is a radius as it is the distance from the center of the circle to the circumference; CB is twice this as it is the diameter

The diameter is a chord that passes through the center of the circle and it is a radius

So let us select the correct statements;

1. it is 7 cm long

2. it is a chord

3. it is the diameter of the circle

The standard deviation of this dataset isapproximately 76.88 rounded to one decimal place. To find the standard deviation of this dataset, we first need to find the mean:

\(Mean = (120 + 60 + 250 + 120 + 200) / 5 = 150\)

Next, we need to find the deviation of each data value from the mean:

120 - 150 = -30
60 - 150 = -90
250 - 150 = 100
120 - 150 = -30
200 - 150 = 50

We then square each deviation:

(-30)^2 = 900
(-90)^2 = 8100
100^2 = 10000
(-30)^2 = 900
50^2 = 2500

We then find the sum of the squared deviations:

900 + 8100 + 10000 + 900 + 2500 = 23600

Next, we divide the sum of squared deviations by the number of values minus 1:

\(23600 / 4 = 5900\)

Finally, we take the square root of this value to find the standard deviation:

sqrt(5900) = 76.81

Rounding to one decimal place, the standard deviation of this dataset is 76.8.

Learn more about deviation here:

https://brainly.com/question/23907081

#SPJ11

Answer:

With problems like this, you will first want to sketch a picture of the two angles and the triangles they form. For sinA=8/17 in Q2, you will sketch a triangle in the second quadrant that is part of the "bowtie" centering around the origin (meaning that it will have a vertex at the origin and go along the x-axis). By using given information and pythagorean theorem, we are able to mark this triangle with a hypotenuse of 17, vertical leg of 8, and horizontal leg of -15 (recall the x-direction is negative in Q2). You can also sketch sin B=-5/13 in Q3 in much the same way. According to the given information and pythagorean theorem, you can mark this triangle with a hypotenuse of 13, vertical leg of -5, and horizontal leg of -12.

From these two sketches you can determine cos A, tan A, and cos B, tan B. According to SOH-CAH-TOA, cos A=15/17, tan A= -8/15, cos B= -12/13, and tan B= 5/12. From here you can simply use the following formulas:

sin (A+B)=sinAcosB+cosAsinB      

cos(A+B)=cosAcosB-sinAsinB

tan (A+B)=(tanA+tanB)/(1-tanAtanB)

So sin (A+B)=(8/17)(-12/13)+(15/17)(-5/13)= -171/221

cos (A+B)=(15/17)(-12/13)-(8/17)(-5/13)=-140/221

tan (A+B)=((-8/15)+(5/12))/(1-(-8/15)(5/12))=-3/20

Finally, to determine the final quadrant of A+B, simply add the two angle measures together. To find these angle measures you will have to use inverse sine, converting sinA=8/17 to A=inverse sine (8/17) and sinB=-5/13 to B=inverse sine (-5/13). When you plug this into your calculator, you get an A value of about 28 degrees. Since this angle is in the second quadrant, 28 degrees is only the reference angle. To find the fully angle that starts at 0 degrees, you will have to calculate 180-28, yielding a full angle A of 152 degrees. When you calculate angle B using inverse sine, you get approximately -23 degrees. Again, this doesn't match the given quadrant (Q3), so you will have to calculate 180-(-23), yielding a full angle B of 203 degrees. Finally, add angle A (152) to angle B (203), to get an angle A+B of 355 degrees. This would fall in the 4th quadrant (QIV).

For the demand of apartments in terms of rent: The equation of the line giving the demand x in terms of the rent p is x = -0.0263p + $62.5764.

For the value of the taffy-pulling machine during its useful life: The equation of the line giving the value V of the taffy-pulling machine during the 5 years it will be in use is V = -$177t + $885.

For the first scenario:

We are given two data points: when the rent is $98 per month, all 60 units are occupied, and when the rent is $630 per month, the average number of occupied units drops to 46.

Let's assign the rent as p and the demand (number of occupied units) as x. We are told that the relationship between the monthly rent p and the demand x is linear.

We can find the equation of the line using the slope-intercept form:

y = mx + b

where y represents the demand x, m represents the slope, and b represents the y-intercept.

Using the given data points, we can calculate the slope:

Slope (m) = (change in y) / (change in x)

Slope (m) = (46 - 60) / ($630 - $98)

= -14 / $532

= -0.0263 (rounded to four decimal places)

Now, we can use one of the data points (let's use p = $98, x = 60) to find the y-intercept:

60 = -0.0263($98) + b

Solving for b:

60 = -$2.5764 + b

b = 60 + $2.5764

b = $62.5764 (rounded to four decimal places)

Therefore, the equation of the line giving the demand x in terms of the rent p is:

x = -0.0263p + $62.5764

For the second scenario:

We are given that the taffy-pulling machine is purchased for $885 and has a useful life of 5 years. The depreciation of the machine is assumed to be linear.

Let's assign the value of the machine as V and the number of years since purchase as t. We want to find the linear equation that gives the value of the taffy-pulling machine during the 5 years it will be in use.

Since the useful life of the machine is 5 years, the initial value is $885, and the final value is $0 (since it will have to be replaced after 5 years), we can use the slope-intercept form to find the equation:

y = mx + b

where y represents the value V, m represents the slope, t represents the number of years since purchase, and b represents the initial value.

Using the given data points, we can calculate the slope:

Slope (m) = (change in y) / (change in x)

Slope (m) = ($0 - $885) / (5 - 0)

= -$177

Now, we can use one of the data points (let's use t = 0, V = $885) to find the initial value:

$885 = -$177(0) + b

Solving for b:

$885 = b

Therefore, the equation of the line giving the value V of the taffy-pulling machine during the 5 years it will be in use is:

V = -$177t + $885

To know more about equation,

https://brainly.com/question/32716919

#SPJ11

When conducting a bivariate correlational study, it is important to use a random sample to ensure that the results are generalizable to the larger population.

However, if a random sample is not used, it does not necessarily mean that the association should be automatically rejected. There are several reasons why a random sample may not have been used in a correlational study. For example, the researcher may have had limited access to a specific population or may have chosen to use a convenience sample for practical reasons. In these cases, it is important to consider the potential limitations and biases in the sample. Additionally, it is possible to adjust for some of these limitations through statistical techniques such as weighting or stratification. These techniques can help to ensure that the results are more representative of the larger population, even if a random sample was not used. Overall, while a random sample is preferred in bivariate correlational studies, it is not always feasible or practical. As such, it is important to carefully consider the limitations of the sample and to use appropriate statistical techniques to account for any potential biases. Ultimately, the validity of the association should be evaluated based on the strength of the evidence and the quality of the study design, rather than solely on the use of a random sample.

Learn more about stratification here:

https://brainly.com/question/30763249

#SPJ11