A force of 15 newtons is used to push a box along the floor a distance of 3 meters. How much work was done?

Answers

Answer 1

Answer:

45 J

Explanation:

Work done = force × displacement

(displacement is the shortest distance the object travels when a force is applied on it)

W = 15 × 3

= 45 J

[Note: While using the formulae, all quantities must be in their SI units.]


Related Questions

Want some points at 2:00 in the morning?

Answers

yes thank you merry christmas

Answer:

yess

Explanation:

thnku happy holiday

Select the correct answer from each drop-down menu.
Photosynthesis is a process in which plants prepare food using carbon dioxide, chlorophyll, and water in the presence of sunlight.
During photosynthesis,
energy is transformed into
energy.

Answers

Note that the complete sentence is given as follows:

Photosynthesis is a process in which plants prepare food using carbon dioxide, chlorophyll, and water in the presence of sunlight.

During photosynthesis, light energy is transformed into chemical energy.

Why is Photosynthesis important?

On a daily basis, humans rely on photosynthesis to create food as well as energy to provide heat, light, and power. Furthermore, because autotrophs are producers in practically all food chains, this method is crucial for humans as well.

Photosynthesis is the process by which plants convert water, sunshine, and carbon dioxide into oxygen and simple sugars that they may utilize as fuel. These fundamental producers serve as the foundation of an ecosystem, fueling the subsequent trophic levels. Life on Earth as we know it would not be conceivable without this process.

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How do I do better on my English SAT part?

Answers

To do better on your English SAT part, you can practice reading and writing regularly, learn and understand grammar rules, and review vocabulary words. You can also take practice tests to familiarize yourself with the test format and timing, and work on your test-taking strategies. There are many resources available online and in books to help you prepare, such as Khan Academy and The College Board.
Here are some tips to improve your performance in the English SAT part:

1. Read regularly to improve your vocabulary and comprehension skills.
2. Practice writing essays and paragraphs to improve your writing skills.
3. Take practice tests to familiarize yourself with the format and types of questions.
4. Focus on grammar rules and punctuation to avoid common errors.
5. Pay attention to the context of the passages to understand the author's point of view and argument.
6. Manage your time wisely and pace yourself during the test.
7. Review your answers and make sure you have answered all questions.
8. Get feedback from a teacher or tutor to identify areas for improvement.
9. Don't get discouraged if you don't do well on the first try, keep practicing and improving.

Good look I hope next time you do better than before. Try not to stress yourself out!


A company ordered $400 worth of muffins. Bran muffins cost $2 each and blueberry muffins cost $4 each. If the company ordered twice as many blueberry muffins as bran muffins , how many muffins were ordered total

Answers

Answer:

40 Bran Muffins

80 Blueberry Muffins

Explanation:

Let the number of Bran muffins ordered = x

The number of Blueberry muffins ordered = 2x (it is given that the number of blueberry muffins is twice the number of bran muffins)

The cost of Bran muffins ordered = Number of Bran muffins * cost of 1 muffin

Cost of Bran muffins ordered = x * 2

Cost of Bran Muffins ordered = $ 2x

The cost of Blueberry muffins ordered = Number of Blueberry muffins * Cost  of 1 blueberry muffin

Cost of Blueberry muffins ordered = 2x * 4

Cost of Blueberry muffins ordered = $ 8x

Since the sum of costs of Blueberry and Bran muffins is $400

Cost of Bran muffins + Cost of Blueberry muffins ordered = 400

2x + 8x = 400

10x = 400

x  = 40

Hence, the number of Bran muffins ordered is 40

we are told that the number of Blueberry muffins is twice the number of Bran muffins

So,

Blueberry muffins  = Bran muffins * 2

Blueberry Muffins = 40 * 2

Blueberry muffins = 80

So, the number of Blueberry muffins is 80

What have George and Lennie discussed many times? (from Of Mice and Men)
Question 13 options:

a)

Lennie hiding in the brush if he gets into trouble

b)

the differences between them and other ranch hands

c)

the rabbits Lennie will own someday

d)

both b and c

Answers

Answer:

D

Explanation:

Answer:

d

Explanation:

Select the correct answer.
Which unit is part of the SI system?

Answers

Answer:

Second (symbol s, the unit of time)

Metre (m, length)

Kilogram (kg, mass)

Ampere (A, electric current)

Kelvin (K, thermodynamic temperature)

Mole (mol, amount of substance)

Candela (cd, luminous intensity)

“An investigation to see if people who regularly watch football are better at remembering a football score than people who never watch football.” What is the null hypothesis and what is the Directional alternative hypothesis.

Answers

Note that the alternative directional hypothesis (HA) in this case is "There is no statistically significant difference in the ability to remember a football score between people who watch football regularly and people who never watch football."

Why is this so  ?

To examine whether there exists a significant difference in the ability to recall a football score between frequent   and non-frequent viewers of football, the null   hypothesis ( H0) assumes that no such difference exists.

In a statistical inference experiment, the alternative hypothesis is a statement. It is opposed to the null hypothesis and is symbolized by Ha or H1. It is also possible to define it as an alternative to the null. An alternative theory is a proposition that a researcher is testing in hypothesis testing.

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Nadia has inserted an image into a Word document and now would like to resize the image to fit the document better. What is the quickest way to do this?

Answers

By using the F4 function. Second, click the down arrow button in “Size” group under “Format” tab to open the “layout” dialog box. In the dialog box open, change the height and width as you need first. Then clear the “Lock aspect ratio” and “Relative to original picture size” boxes in “Scale” part. Lastly, click “OK”.

examples of bamboo products​

Answers

Answer:

TP. ...

on-the-go utensils. ...

Speakers. ...

towels. ...

Bottle. ...

solar battery. ...

floors. ...

computer accessors

Spoons, kitchen wear, Straws

In a study of cell phone use and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 2473 subjects randomly selected from an online group involved with ears. 1181 surveys were returned. Construct a 90​% confidence interval for the proportion of returned surveys.

Answers

The total number of subjects to whom the internet survey was e-mailed is 2315

There were 931 surveys returned.

CI=(ˆp−E,ˆp+E)=(0.402−0.026,0.402+0.026)=(0.376,0.428)

also known as user generated content (UGC). It refers to a variety of media content that is produced by
Individuals or a group of people working in collaboration. It is also referred to as consumer generated media (CGM) or
user created content (UCC).

Answers

Answer:

I believe it is prosumerism

Explanation:

Answer:

prosumerism

Explanation:

A man stands on a cliff edge. The cliff edge breaks and the man fall. Which law is this an example of?

A man stands on a cliff edge. The cliff edge breaks and the man fall. Which law is this an example of?

Answers

Answer:

physics because gravity

Explanation:

Write an equation of a quadratic equation that has x-intercepts: 3, 6 and point (2, -2). (Intercept Form)

Answers

To write a quadratic equation in intercept form with x-intercepts at 3 and 6, we can start with:

(x - 3)(x - 6) = 0

Expanding this equation gives:

x^2 - 9x + 18 = 0

Now we need to use the point (2, -2) to find the equation in intercept form.

First, substitute x = 2 and y = -2 into the standard form of a quadratic equation:

y = ax^2 + bx + c

-2 = a(2)^2 + b(2) + c

-2 = 4a + 2b + c

Next, substitute the x-intercepts into the equation:

y = a(x-3)(x-6)

We want the equation in intercept form, so we expand this equation:

y = a(x^2 - 9x + 18)

y = ax^2 - 9ax + 18a

Now we can use the three points we have to form a system of equations:

-2 = 4a + 2b + c
0 = 9a - 54a + 18a
0 = 3a

The last equation tells us that a = 0, which means the quadratic equation is a linear equation:

y = bx + c

To solve for b and c, we use the other two equations:

-2 = 4a + 2b + c

0 = 9a - 54a + 18a

Plugging in a = 0 into the first equation, we get:

-2 = 2b + c

Simplifying the second equation gives:

0 = -27a

Since a = 0, this equation is true and does not give us any new information.

We can now solve for b and c by solving the system of equations:

-2 = 2b + c
0 = -27a

Since a = 0, we can ignore the second equation and solve for b and c using the first equation:

2b + c = -2

We still have one degree of freedom, so we can choose any value for b and solve for c. Let's choose b = 1:

2(1) + c = -2

c = -4

Therefore, the equation of the quadratic function in intercept form is:

y = (x-3)(x-6)

or

y = x^2 - 9x + 18

which has x-intercepts at 3 and 6 and passes through the point (2, -2).

What do you think would happen if you did not level ingredients, such as flour, when
baking bread? How might that impact the inal product?

Answers

The bread would probably be soft or not made properly the flour hardens the bread

The bread would likely be soft or improperly prepared. Bread gets harder from the flour might that impact the final product.

What is ingredients?

Ingredients are the things that go into the creation of something, particularly all the many foods you use when preparing a specific dish. Add the remaining ingredients and blend. A noun that counts. One of the key components of a scenario is an ingredient.

Ingredient can also be referred to as a component, constituent, or element. Ingredient refers to any of the substances that, when combined, make up a specific mixture, even if all of these phrases collectively indicate "one of the pieces of a compound or complicated whole."

something that is added to a mixture as an element: The cake's key ingredients are flour, eggs, and sugar. a component, or an essential part of something: the elements of political success.

Thus, The bread would likely be soft or improperly prepared.

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A classic counting problem is to determine the number of different ways that the letters of broccoli can be arranged. Find that number.

Answers

Answer:

10080

Explanation:

To find the number of different ways that the letters of the word "broccoli" can be arranged, we can use the concept of permutations. The word "broccoli" has 8 letters, including 2 "o"s, and 2 "c"s.

To calculate the number of arrangements, we need to consider the total number of letters and account for any repetitions. We can use the formula for permutations with repeated elements:

n! / (n1! * n2! * ... * nk!)

Where:

n is the total number of elements

n1, n2, ..., nk are the number of repetitions for each element

In this case, the word "broccoli" has a total of 8 letters, with 2 "o"s and 2 "c"s. Substituting these values into the formula, we get:

8! / (2! * 2!)

Calculating this expression:

8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320

2! = 2 * 1 = 2

(40,320) / (2 * 2) = 40,320 / 4 = 10,080

Therefore, there are 10,080 different ways that the letters of the word "broccoli" can be arranged.

Answer:

The letters of the word "BROCCOLI" can be arranged in 10,080 different ways.

Calculating Arrangements :

The two counting terms in mathematics are Permutations and Combinations

Combinations are used in finding the number of ways of selecting a set of items from the given set.

Permutations are used to find the number of arrangements after selection from a given set of items.

The formulation of arranging and selecting 'r' items from 'n' items is:

                       

Here, we need to find the number of arrangements using the letters of the word "BROCCOLI". So, we need to use Permutation. Also, the arrangement involves no selection as all the letters are to be used, we have n = r.

The total letters in the word "BROCCOLI" = 8

The unique letters in the word "BROCCOLI" are: B, R, L, I i.e. (4)

The other letter repetitions are :

The letter 'O' appears twice i.e. 2

The letter 'C' appears twice i.e. 2

So, the number of different arrangements possible are :

= Total arrangements / Arrangements reduce due to duplicate letters

 

Hence, the letters of the word Broccoli can be arranged in 10,080 ways.

Select the correct answer.
As society has changed, what have most households become?
O A.
dual income
B. single income
OC.
controlled by women
D.
compromised of extended family caretakers

Answers

Answer:

Dual Income

Explanation:

92. When a patient’s family members express anger toward hospital staff during the admission process, the cause of their anger is usually a result of *
a. feeling a loss of control.
b. guilt at leaving their family member.
c. poor treatment by hospital staff.
d. concern about health care costs.
93. When you fill an ice bag, put in enough ice to make the bag *
a. full to the top.
b. half full.
c. one-quarter full.
d. three-quarters full.
94. One staff person should never lift or move more than ________ of body weight without extra help or a mechanical device. *
a. 15 pounds
b. 35 pounds
c. 50 pounds
d. 75 pounds
95. When transferring a patient to another unit, you can expect the patient to be *
a. anxious.
b. excited.
c. belligerent.
d. demanding.
96. A patient who is having a cold treatment starts to shiver. You know that this is a(n) *
a. indication that inflammation is decreasing.
b. expected response to a cold treatment.
c. reason to stop the treatment.
d. local reaction to the treatment.
97. When caring for a patient who receives tube feeding, you should *
a. elevate the head while the feeding is infusing.
b. hang the formula when the bag is empty.
c. insert the tube prior to feeding the patient.
d. position the patient in the Sims’ position.
98. When recording fluid intake, you should write down *
a. only the fluid given in the patient’s room.
b. only the fluid that the nurse gives with medicine.
c. only the fluid that comes on the dietary tray.
d. all fluid the patient consumes during your shift.
99. You should empty the bedside commode *
a. into the sink.
b. each time the patient uses it.
c. at the end of the shift.
d. once a day.
100. A sitz bath would be most appropriate for a patient following *
a. knee surgery.
b. childbirth.
c. amputation.
d. wound irrigation.

Answers

Answer: 1= A, 2=D, 3= A, 4= C, 5= B,  8= D 9= B 10=A

Explanation:

I am not sure about question 97 ...

find the English word that can be formed from all the following letter
PNLLEEEESSSS

Answers

the answer is sleeplessness

1. How long to fill a pallet? Phillip recorded how long it takes to fill a pallet in minutes [ 35, 36, 32, 42, 58, 56, 56, 35, 39, 46, 47, 34, 37 ]

2. For the numbers 13, 16, 12, 11, 8, 14, 12, and 18 Which of the following is true? Mean> median > mode. Median> mean > mode Mode > mean> median 8, 11, 12, 12, 13, 14, 16, 18

3. The numbers 7, 6, 10, 13, 7, 2, 5, 6, and x have only one mode and the mean median and mode are all equal. what is the valve of x ?​

Answers

Answer:

Therefore, the missing value is x = 7.

Explanation:

1. To find the average time it takes to fill a pallet, we can calculate the mean of the recorded times.

Mean = (35 + 36 + 32 + 42 + 58 + 56 + 56 + 35 + 39 + 46 + 47 + 34 + 37) / 13

Mean = 45.5

Therefore, on average, it takes approximately 45.5 minutes to fill a pallet.

2. To determine the relationship between the mean, median, and mode, we first need to find each value.

Mean = (13 + 16 + 12 + 11 + 8 + 14 + 12 + 18) / 8

Mean = 13.5

To find the median, we need to first order the numbers from least to greatest: 8, 11, 12, 12, 13, 14, 16, 18. Since there are an even number of values, we take the average of the two middle values to find the median.

Median = (12 + 13) / 2

Median = 12.5

The mode is the value that appears most frequently, which is 12.

Now we can compare the values:

Mean > median > mode

Therefore, the correct answer is: Mean > median > mode.

3. We know that the mean, median, and mode are all equal in this set of numbers. To find the missing value, we need to first find the current mean/median/mode.

Mean = Median = Mode

We can calculate the mean by adding all the values and dividing by the total number of values:

(7 + 6 + 10 + 13 + 7 + 2 + 5 + 6 + x) / 9 = (56 + x) / 9

Since we know that the mean/median/mode are all equal, we can set this expression equal to the missing value (x):

(56 + x) / 9 = x

Multiplying both sides by 9:

56 + x = 9x

Subtracting x from both sides:

56 = 8x

Dividing both sides by 8:

x = 7

Therefore, the missing value is x = 7.

1.
What is the central idea of the article?

A
After the Civil War, Blacks still didn't have the same rights as whites, but they fought really hard for their equality.
B
After the Civil War, Blacks continued to be mistreated, but there was nothing that they could do about it until the World Wars were fought and laws in America changed.
C
After the Civil War ended, Blacks gained a lot more freedom and opportunity that they had previously and many chose to move to the north because they were free to move where they chose.
D
After the Civil War ended, Blacks were still mistreated through white supremacist laws so they migrated to urban areas in the north where they also found they had to fight against lot of challenges.

the great migration on commonlit

Answers

After the Civil War, African-Americans received a great deal more freedom and choice than they had before, and many decided to relocate to the north since they were free to do so.

The civil war and end of discrimination;

With the protections of the Thirteenth, Fourteenth, and Fifteenth Amendments to the Constitution, as well as the Civil Rights Act of 1866, African Americans were able to vote, actively engage in the political process, purchase previous owners' land, and seek their own property after the Civil War.

So, option "C" is the correct answer to the following question.

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Nas is conducting his parents find out the fraction of people who blackout from GeForce is greater than six in early study population proportion was estimated to be 0.36 how large of a sample would be required in order to estimate the fraction of people who black out and six or more G force is at 80% the level of air most 0.04 round your answer to the next integer

Answers

Answer:

Give me a glass of water,?

what is a properly of matter give me 5 examples

Answers

Explanation:

Density, colour, hardness, melting and boiling points, and electrical conductivity are all examples of physical properties.

The data represent the​ time, in​ minutes, spent reading a political blog in a day. Construct a frequency distribution using 5 classes . In the​ table, include the​ midpoints, relative​ frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least​ frequency?
13 18 11 18 7
19 6 10 12 7
14 17 18 6 16
18 10 1 0 15
complete the table starting with lowest class limit
class frequency midpoint r.frequency c. frequency

Answers

The class with the greatest frequency is the class "15.2 - 19" with a frequency of 7. The class with the least frequency is the class "0 - 3.8" with a frequency of 2.

To construct a frequency distribution with 5 classes for the given data representing time spent reading a political blog in a day, we need to determine the class intervals and calculate the frequency, midpoint, relative frequency, and cumulative frequency.

First, we find the range of the data:

Range = Maximum value - Minimum value

Range = 19 - 0

Range = 19

To determine the class width, we divide the range by the desired number of classes:

Class width = Range / Number of classes

Class width = 19 / 5

Class width ≈ 3.8

Now, we can construct the frequency distribution table:

Class          Frequency   Midpoint   R. Frequency   C. Frequency

0 - 3.8           2              1.9                2/20 = 0.1           2

3.8 - 7.6        4              5.7                4/20 = 0.2           6

7.6 - 11.4      4              9.5                4/20 = 0.2           10

11.4 - 15.2    3              13.3              3/20 = 0.15         13

15.2 - 19       7              17.1              7/20 = 0.35         20

By organizing the data into classes and analyzing the frequencies, we can gain insights into the distribution of reading time and identify the most and least common time intervals spent on reading the political blog.

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How are the problem or stricking to Formality requirements and the dangerar absence of Formasism reconciled? What is position of the Ethiopian low on the question of contractual Formality? (15%)​

Answers

Answer:

What are the problems of formalism?

The ultimate problem with formalism, however, was that its emphasis on formal qualities did not amount to genuinely granting a work of art autonomy when discussing meaning.

Explanation:

The problem of sticking to formality requirements are:

The issue of not granting a work of art autonomy.IsolationPlaces emphasis on formal qualities.

What is this formalism about?

The issue of “formalism” is one that has been criticized based on its used of only formal qualities.

Note that this approach is one that a person needs to pay more attention to the formal characteristics of a any piece and as such, it makes it harder  for conventional meaning.

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Your academic calendar has been distracted by the global pandemic, such that, you are to teach your class from the house. Outline specific hardware and software and the various teaching and learning tools you will deploy to enable you continue to teach your pupils from home. Discuss four (4) ways you will use to reach all pupils who are living at a​

Answers

The correct answer to this open question is the following.

During this pandemic moments that students have to stay at home and taking classes, I would use the proper hardware to teach good video classes. Of course, a good computer or lap tot with modern hardware capacities such as "intel Pentium" or higher. A good and high-speed internet connection will help me to efficiently use all the tools and educational apps such as the one needed to teach video class. These are google meet and zoom.

I will use the following tools to reach all pupils. First, the classroom of Google to have all the homework information on one site. I would use Google Drive to store all the information and evidence of the semester. Another good tool is Canva, for the students to elaborate all their infographics needed to do homework. For better school presentations I would also use "gneally," a good presentation system that has room for a lot of animation.


What is the exact value of tan(105°).
o 2+√3
o -2+√3
o 2-√3
o -2-3

Answers

Answer:

-2-√3.

Explanation:

\(tan(105)=tan(60+45)=\frac{tan60+tan45}{1-tan60*tan45}=\frac{\sqrt{3}+1}{1-\sqrt{3}}= \frac{(\sqrt{3}+1)^2}{(1-\sqrt{3})(1+\sqrt{3})}=-\frac{3+1+2\sqrt{3}}{2}=-2-\sqrt{3}.\)

The exact value of tan(105°) is -2+√3. Therefore, option (B) is correct.

What is tangent addition formula?

To find the value, we can use the tangent addition formula:

tan(105°) = tan(60° + 45°)

tan(105°) = (tan 60° + tan 45°)/(1 - tan 60° * tan 45°)

Since tan(60°) = √3 and tan(45°) = 1, we can substitute these values into the formula:

tan(105°) = (√3 + 1)/(1 - √3)

To simplify the expression, we can multiply the numerator and denominator by the conjugate of the denominator, which is (1 + √3):

tan(105°) = [(√3 + 1)/(1 - √3)] * [(1 + √3)/(1 + √3)]

tan(105°) = [(√3 + 1)(1 + √3)]/[(1 - √3)(1 + √3)]

tan(105°) = (√3 + √3^2 + 1 + √3)/[(1 - √3^2)]

tan(105°) = (√3 + 4)/2

tan(105°) = (4 + √3)/2

tan(105°) = 2 + √3/2

tan(105°) = -2 + √3 (since 105° is in the second quadrant, where tangent is negative).

Therefore, the exact value of tan(105°) is -2+√3.

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What forms the basis of Shintoism?
O sacred texts
O important temples
O the natural environment
O teachings of religious leaders

Answers

Answer:

Shinto, indigenous religious beliefs and practices of Japan. ... Shintō has no founder, no official sacred scriptures in the strict sense, and ... Nature and varieties ... (Kokka Shintō)—based on the total identity of religion and state—and has ... and after the 13th century only a limited number of important shrines

Explanation:

Answer:

Explanation:

I would think a

what is a probability

Answers

Answer:

how likey a vent is to happen it is between 0 and 1 as 0 meaning impostible and 1 meaning is completely 100% pos

student hypothesizes that the number of coils has a cause-and-effect relationship on the
strength of the magnetic devices she made. Which would be the best way for the student to test
the devices to be sure that her hypothesis is accurate?

Answers

The best way for the student to test the devices would be to conduct controlled experiments.

How can you test the devices to be sure that her hypothesis is accurate?

This would involve creating multiple magnetic devices with varying numbers of coils and testing their strength under the same conditions.

The student could then compare the results to determine if there is a cause-and-effect relationship between the number of coils and the strength of the magnetic devices.

It would also be important for the student to take measurements multiple times and take the average to reduce errors and random fluctuations.

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student hypothesizes that the number of coils has a cause-and-effect relationship on thestrength of the

Methods in electrochemistry that can be used for the separation of proteins and enzymes?

Answers

Answer:

redox proteins can be attached to electrode surfaces in a “wired” configuration, that is, one that facilitates direct electron transfer. The feasibility of simple electroactive adsorption onto a range of electrode surfaces is illustrated, with a highlight on the recent advances that have been achieved in biotechnological device construction using carbon materials and metal oxides. The covalent crosslinking strategies commonly used for the modification and biofunctionalization of electrode surfaces are also evaluated. Recent innovations in harnessing chemical biology methods for electrically wiring redox biology to surfaces are emphasized.

Explanation:

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Twenty-three student compete in a math competition in which the top three studentsare recognized with trophies for first, second, and third place. How many different outcomes arethere for the top three places? Solution A (pH 11); Solution B (pH 13)Which one has more OH- ions?Which one has less H+ ions?Which one is more basic?Which one is more acidic? Your firm purchases goods from its suppier on terms of 1/22, net 42. What is the effective annual cost to yourfirm if it chooses not to take advantage of the trade discount offered A scientist repeats the millikan oil drop experiment in a different galaxy and the charge on the drops is measured in a unit called the electrino (el). The scientist obtains data for four drops. Suppose we write down the smallest positive 2-digit, 3-digit, and 4-digit multiples of 9. what is the sum of these three numbers? The quote below is from the Magna Carta. "To no one will we sell, to no one will we refuse or delay, right or justice." This quote may have influenced the colonists to believe which idea? No person who was a criminal had the right to earn money or purchase from others. Each person had the right to pay money to get out of arrest and punishment. No person would be expected to pay for his or her crimes if he or she could not afford it. Each person had rights including the right to quick and fair outcomes under the law. An equation _____ has one solution.alwayssometimesnever he centers of a 12 kg lead ball and a 70 g lead ball are separated by 14 cm. part a part complete what gravitational force does each exert on the other? express your answer using two significant figures. f Suppose that we are interested in dissolved metals in two Montana streams. In Jack Creek the distribution of dissolved metals is believed to be normal with a mean of 1000 and a standard deviation of 40 . For the Cataract Creek the distribution is normal with a mean of 970 and a standard deviation of 20 . Random samples of sizes 30 and 15 are taken from Jack and Cataract Creeks respectively. a) Find the mean and variance of the difference in sample means. b) What is the probability that average amount of dissolved metals at Jack Creek is at least 50 more than the average amount of dissolved metals at Cataract Creek? An administrator is working with the 192.168.4.0 network, which has been subnetted with a /27 mask. Which two addresses can be assigned to hosts within the same subnet? (Choose two)192.168.4.30192.168.4.31192.168.4.32192.168.4.33192.168.4.36 Find the value of x in the isosceles triangle shown below.V74V74 six years after a disability policy was issued, an insured changed occupations from less hazardous to more hazardous and failed to notify Occupation provision, If a claim is filed the insurer willA. pay no benefit since the insured failed to inform the insurer of the change in occupationB. pay the benefit as contracted for since the policy is over 2 years oldC. reduce the benefit to an amount the actual premium paid would have purchased at the more hazardous occupationD. reduce the payment by the exact amount of the premium underpayment Combining like terms help dont know what to do At time t = 0, a static object at position x = 0 starts to move such that its position x(t) satisfies the equationd^2x/dt^2 + dx/dt = te^-tUsing Laplace Transforms, determine the function x(t) Kiran says that a solution to the equation `x-7=3` must also be a solution to the equation `3x-21=9`.Write a convincing explanation as to why this is true. Explain how these are equivalent equations. Martha's child was born with an extra chromosome, resulting in down syndrome. this is an example of:________ Arranging classroom experiences for learning, like creating a lesson plan, is called the ______. A wave of wavelength 1.2m travels 11.2m to a wall in 2s. what's the frequency of the wave Is x-6 a factor of f(x)? Use the Factor Theorem.f(x)=x^4-32x-144YesNo A mass spectrometer has determined the mass and abundances of all isotopes of an unknown element. The first isotope has a mass of 38.96amu (93.28%) and the second a mass of 40.96amu (6.72%). Calculate the average atomic mass and identify the unknown element, WRITE ONLY THE SYMBOL FOR YOUR ANSWER.