We want to arrange digits 0 to 9 such that 1 and 2 always have 2 digits between them (we want to find the number of different combinations to do this).
There are 564,480 ways of arranging the digits 0 to 9 in such a way that there is always 2 digits between 1 and 2.
Now let's see how to get the number of combinations.
We have 10 numbers to order, so we have 10 places to put these numbers.
_ _ _ _ _ _ _ _ _ _
Let's start by assuming that the first number is the 1
1 _ _ _ _ _ _ _ _ _
Because 1 and 2 must have 2 digits between them, we put the 2 in the third place
1 _ _ 2 _ _ _ _ _ _
Now in the other 8 places we can put any of the other 8 numbers in any order, The number of combinations is just given by:
8! = 8*7*6*5*4*3*2*1 = 40,320
Now we also need to take in account the permutations of the 1 and the 2.
First, these two can permute (so the 2 goes first and then the 1) so there is a factor 2.
Also, we fixed the first one at the first position, but it could be in the second, third, fourth, fifth, sixth or seventh position, so there is also a factor 7.
Then the total number of combinations is given by:
2*7*40,320 = 564,480
This means that there are 564,480 ways of arranging the digits 0 to 9 in such a way that there is always 2 digits between 1 and 2.
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What value of x is in the solution set of 9(2x 1) < 9x – 18?
Answer:
-4
Explanation:
Just took the quiz on edge
in order to be allowed to engage in activities to promote and enhance the sale of an alcoholic
Answer:
Please elaborate more your answwer
Explanation:
What does the underlined word mean in the following sentence? Estela está en el primer grado. primer printer first painter
The underlined word means First in English.
Let understand that the word Primer is been underlined from the following sentence "Estela está en el primer grado."
The word "Primer" is a Spanish word which is used to indicate a beginning order or something that comes before all othersIn conclusion, the English word "First" is the best accurate word which is the translated meaning of "Primer".
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Answer: first
Explanation:
Which religion is being described in this passage? "This religion, which emphasizes detachment from worldly goods, originated in India and missionaries spread it to China, Japan, and other parts of Asia." Question 8 options: Buddhism Christianity Hinduism Islam Judaism Shintoism
Answer:
Buddhism
Explanation:
Which religion is being described in this passage? "Followers of the native religion of Japan believe that all things in nature have spirits called kami, which the followers honor with shrines." Question 9 options: Buddhism Christianity Hinduism Shintoism
Shintoism
Shintoism originated in Japan and was created to distinguish it from Buddhism and Confucianism which had been introduced from China, the Shinto religon is polytheistic and revolves around the kami, supernatural entities believed to inhabit all things. The link between the kami and the natural world has led to Shinto being considered animistic and pantheistic.
g(x) 2x/3+3 what is the value of g(-30)
on a test flight a rocket with mass 400 kg blasts off from the surface of the earth. the rocket engines apply a constant upward force f until the rocket reaches a height of 100 m and then they shut off.
Answer:
F= 11.76 kn
Explanation:
The rocket engines apply a constant upward force of 15680 N.
What is force?Force can be said as the amount of pressure that is applied ob an object. One can easily determine the mass and the velocity to find the force that is applied to an object.
Gravitational acceleration which will be represented by g = 9.8 m/s2
Mass of the rocket which will be represented by M = 400 kg
Constant upward force that is applied on the engine of the rocket which will be represented by F
The height through which engines accelerate the upward force upon the rocket will be represented by h = 100 m
Work done by the engine which will be represented by W
W = Fh
Maximum height well above the surface, this data will represent the rocket reaches which will be represented by H
The work completed with the help of the engine on the rocket is equal to the potential energy gained with respect to maximum height.
W = MgH
Fh = MgH
F(100) = (400)*(9.8)*(400)
F = 15680 N
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On a test flight, a rocket with mass 400 kg blasts off from the surface of the earth. The rocket engines apply a constant upward force F until the rocket reaches a height of 100 m and then they shut off. If the rocket is to reach a maximum height of 400m above the surface of the earth, what value of F is required? Assume the change in the rockets mass is negligible.
Read the excerpt from H. G. Wells's The War of the Worlds. But, looking, I presently saw something stirring within the shadow: greyish billowy movements, one above another, and then two luminous disks—like eyes. Then something resembling a little grey snake, about the thickness of a walking stick, coiled up out of the writhing middle, and wriggled in the air towards me—and then another. How does the author create an aesthetic impact in the excerpt? through realistic dialogue through a comforting tone through scientific explanation through colorful description
Answer:
Through colorful description
Explanation:
Just answered it and got 100%
The tool, used by the author to create an aesthetic impact is colorful description
What is colorful description?There are several pattern that an author can use to make his/her work come alive. These patterns create a vivid image in the mind of the reader and adds to the overall narrative of the story.
From the excerpt of H. G. Wells in "The War of the Worlds", we can see that the author uses colorful description to create an aesthetic impact .
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what is the average rate of change of y = cos (2x) on the interval [0, π2]?
The average rate of change of the function y = cos(2x) over the interval (0, π/2) is [tex] \frac{-4}{\pi}[/tex]
The average rate of change over a given interval is defined thus :
[tex] R = \frac{f(b) - f(a)}{b - a}[/tex] Where a and b are the interval valuesAt a = 0 :
f(0) = cos(2(0)) = Cos 0 = 1At b = π/2 :
f(π/2) = cos(2(π/2)) = Cos π = - 1Hence,
[tex] \frac{f(b) - f(a)}{b - a} = \frac{-1-1)}{\frac{\pi}{2} - 0} = \frac{-2}{\frac{\pi}{2}} = \frac{-4}{\pi} [/tex]
Therefore, the average rate of change over the interval is [tex] \frac{-4}{\pi}[/tex]
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According to the graph, which figure shows the average speed of the horse that won the race? 0.05 m/s 20 m/s 45 m/s 285 m/s
Answer:
It should be 20 m/s as horses travel speeds of 72
Hope this helps!
Answer:20m/s
Explanation: its correct
which of these methods is not safe for cooling food?
Answer:
B. Place food in a shallow pan on the counter at room temperature
Explanation:
Defrosting food in a sink or counter at room temperature may be faster, but not the best option. In addition, thawing food at room temperature can be very dangerous, because room temperature allows the proliferation of microorganisms in the food and these microorganisms can cause food spoilage and food infection.
The refrigerator should be used to defrost. If you need to defrost food, you must plan ahead to wait for the defrost inside the refrigerator. Thus the food will be protected from microorganisms.
whats up//////////////////////////
Answer:
nun much
Explanation:
Which of the following buildings holds the Giotto fresco seen below? A fresco by Giotto di Bondone in 1306. The fresco depicts the Last Judgement with angels rising to Heaven and other souls going to Hell. a. Padua Chapel b. Scrovegni Chapel c. Florence Cathedral d. none of the above Please select the best answer from the choices provided A B C D
Answer:
D.) None of the above
Explanation:
hope it helped :)
Answer: b) Scrovegni Chapel
Explanation: :)
Which theme is best supported by the passage? Death is an insignificant force. Death conquers everyone in the end. Death keeps the world in awe. Death is a beginning, not an ending.
Answer:
Death conquers everyone in the end
Explanation:
edg 2021
The theme best supported by the passage is the following:
Death conquers everyone in the end.The reason is that Imperious Caesar is dead and that death is impossible to stop.
I was able to find the passage from Hamlet online:
Imperious Cæsar, dead and turn'd to clay,
Might stop a hole to keep the wind away:
O! that that earth, which kept the world in awe,
Should patch a wall to expel the winter's flaw.
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What did people place on the altars? a. a picture of the patron saint b. relics of the church’s patron saint c. triptychs of the patron saint d. all of the above Please select the best answer from the choices provided A B C D
Answer: its b
Explanation: did the test
Answer:
B.
relics of the church’s patron saint
Explanation:
titan is saturn’s largest moon. which one experiences a larger gravitational force?
Answer:
the moon experiences a larger gravitational force
Explanation:
it is smaller and has less mass
ABCD is a parallelogram with diagonal AC. If the measure of angle CAB is 21° and the measure of angle ADC is 125°, what is the measure of angle DAC? Parallelogram ABCD with diagonal AC; the measure of angle ADC is 125 degrees, and the measure of angle CAB is 21 degrees. 73° 62° 42° 34°
The measure of angle CAB in the parallelogram described is 34°.
Given :
∠CAB = 21°
∠ CAB = ∠ACD (Alternate interior angles)
∠ACD = 21°
∠DAC + ∠ADC + ∠ACD = 180° (Sum of interior angles of a triangle)
∠DAC + 125° + 21° = 180°
∠DAC = 180° - 146°
∠DAC = 34°
Therefore, the measure of angle ∠DAC is 34°
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how much would $100, growing at 5% per year, be worth after 75 years?
Answer:
3883.27
Explanation:
a breed of chicken shows codominance for feather color
how many grams of bacl2 are formed when 35.00 ml of 0.00237 m ba(oh)2 reacts with excess cl2 gas?
Explanation:
Answer:
0.0071g
Explanation:
From the question, we know that the molarity of the BaCl2 is 0.00237M. This means there are 0.00237 moles in 1dm^3 or 1000cm^3 of solution.
We also know that 35ml of the BaCl2 reacted. Here, we need to calculate the number of moles in 35.7ml of BaCl2.
This is calculated as follows;
0.00237moles are in 1000cm^3
Thus x moles will be present in 35ml ( we should note that cm^3 is same as ml)
X = (0.00237 × 35) ÷ 1000 = 0.00008295 moles.
From the reaction equation, we can see that 2 moles of BaCl2 yielded 1 mole of Ba(OH)2.
This means 0.00008295mole of BaCl2 will yield 0.00008295 ÷ 2 = 0.000041475 moles of Ba(OH)2.
To calculate the mass of Ba(OH)2 formed, we simple multiply the number of moles yielded by the molar mass of Ba(OH)2.
Molar mass of Ba(OH)2 = 137 + 2(17)
= 171g/mol
Mass = 171 × 0.000041475 = 0.007092225g
There are three subatomic particles found inside atoms. Two of the subatomic particles have a charge of positive or negative. The one particle that does NOT have a charge is the:
Answer:
Neutron
Hope this helped
According to the article "Introduction to Modern Drama Study," which of the following best explains why more women began to emerge as playwrights in the 1960s? Women became frustrated with the roles they were being forced to play and chose instead to rebel. Women began to realize that they could take control of their lives and choose how they wanted to live. Women discovered a real passion for the stage and decided to use it to make a statement about their inferiority. Women decided that men should not be the only ones to achieve financial success and began to pursue careers.
Answer:
B. Women began to realize that they could take control of their lives and choose how they wanted to live.
Explanation:
got it right on the test
Answer:
B.
Women began to realize that they could take control of their lives and choose how they wanted to live.
Explanation:Edge 2022
A rancher has a roll of fencing to enclose a rectangular area. The table shows how the area that the rancher can enclose with the fencing depends on the width of the rectangle. Image description Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet?
Answer:
B on edge or A(w) = -w² + 100w
Explanation:
Answer:
✔ A(w) = -w² + 100w
the second one is 2400 ft2
Explanation:
Zen deposited some money in a savings account. The graph below shows the value of Zen's investment, y, in dollars, after x months: graph of y equals 1,000 multiplied by 1.002 to the power of 12 multiplied by x What does the y intercept of the graph represent? Rate of interest offered to Zen Final value of Zen's investment Total number of months for which Zen invested the money Amount of money Zen deposited in the savings account
Answer: D: bec if u read the top it says the answer trust me it's right
Explanation:
The elderly in the United States have become a. a small minority. c. a political force. b. the majority of the population. d. absent from the political scene.
Answer:
C
Explanation:
A political force
Answer:
a political force. C
Explanation:
trust mannnnnnnn
Which are common elements of fantasy? Select 3 options. true-to-life settings imagined worlds everyday events mythical creatures the supernatural
Answer:
imagined worlds
the supernatural
mythical creatures
Explanation:
The textual genre of fantasy to describe the three main styles of this literature, in this case they are: imagined worlds, the supernatural and mythical creatures.
What characterizes the fantasy genre?Fantasy is one of the genres of fiction in which supernatural and magical effects are usually used as one of the main factors in the story. Most works of this genre contain magical beings, non-existent worlds and several other features that help to compose this imaginary plot.
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Although, as boys, we had been even intimate associates, yet I really knew very little of my friend. His reserve had been always excessive and habitual. What does this excerpt reveal about the narrator of the story? It describes what the narrator knows from his past. It describes what the narrator experiences in the story. It provides an inference drawn by the narrator. It provides a criticism voiced by the narrator.
We required to explain what the excerpt reveal about the narrator of the story.
The excerpt "provides a criticism voiced by the narrator".
From the excerpt, it provides a criticism voiced by the narrator. The narrator is voicing out the criticisms about his friend. Even though he has been together with his friend for a long time yet he knows little about his friend because his friend is reserved.His friend is described as someone who is too reserved and as such speaks little about himself. This is seen as an habits of his friend.Therefore, the excerpt "provides a criticism voiced by the narrator".
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Answer:
It describes what the narrator knows from his past
Explanation: trust me
Use the drop-down menus to analyze the way Shakespeare uses dialogue, an element of drama. What information does the dialogue reveal? What is the effect of this dialogue?
The information that the dialogue revealed was that the guards do not recognize each other at first.
From the complete question, we can deduce that the guards didn't recognize each other at first. Bernardo didn't see Francisco properly at first and he thought that he was the king before he saw him clearly.
A dialogue simply refers to a conversation between two to more people. The effect of the dialogue was that it caused a feeling of confusion and distrust. Bernardo and Francisco were confused.
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Answer:
1st: The guards do not recognize each other at first
2nd: It creates a feeling of confusion and distrust
what is the difference between electronic music and chance music
Answer:
que la electronica es mas movida y la casual es mas tranquila
Explanation:
When the doctor examines 9-month-old Ben, he realizes that Ben’s left testis has not moved into its proper position in the scrotum. He recommends a surgical procedure to move the undescended testis into its proper position. Which procedure is the doctor referring to?
Answer:
Orchiopexy
Explanation:
PLATO
Answer: Orchiopexy
Explanation: If a boy's undescended testicles are palpable, or able to be felt by a doctor, a pediatric urologic surgeon may perform a surgical procedure called an orchiopexy to reposition them. An orchiopexy is an outpatient procedure that takes place in the hospital and requires general anesthesia.
