Four students are simplifying the expression 5x(–3 – 7x).

Which student’s work is correct?

5x(–3 – 7x)
(5x)(–3) – 7x
–15x –7x
5x(–3 – 7x)
(5x)(–3) – (5x)(7x)
–15 – 35x
5x(–3 – 7x)
–3 + 5x – 7x
–3 – 2x
5x(–3 – 7x)
(5x)(–3) + (5x)(–7x)
–15x – 35x2

Answers

Answer 1

Answer:

So the questions isn't clear enough, but I could tell u that the nearest answer is the last answer, but without the multiplied 2

It's _15x_35xsquared

Answer 2

Answer:

5x(–3 – 7x)

(5x)(–3) + (5x)(–7x)

–15x – 35x2

Step-by-step explanation:

D


Related Questions

A teacher gave her students two tests. If 45% of the students passed both tests and 60% passed the first test. What is the probability that a student who passed the first test also passed the second?

Answers

Answer: We can use the concept of conditional probability to find the probability that a student who passed the first test also passed the second. Conditional probability is the probability of an event occurring given that another event has already occurred.

The probability that a student who passed the first test also passed the second is the probability of both events occurring (passing both tests) divided by the probability of the first event occurring (passing the first test).

We can use the information provided to calculate this probability:

Probability of passing both tests = 0.45 (45%)

Probability of passing the first test = 0.60 (60%)

Probability of passing both tests given that the student passed the first test = (Probability of passing both tests) / (Probability of passing the first test) = 0.45 / 0.60 = 0.75

So the probability that a student who passed the first test also passed the second is 0.75 or 75%.

It means, if we know that a student passed the first test, there's a 75% chance that the student also passed the second test.

Step-by-step explanation:

Aunt Sue used 1/6 teaspoon of vanilla to make 2/12 containers of pudding. How much vanilla is in one container of pudding?

Answers

The amount of vanilla in one container of pudding is given as follows:

One teaspoon.

How to obtain the amount of vanilla?

The amount of vanilla in one container of pudding is found applying the proportions in the context of the problem, via a rule of three.

The rule of three is defined as follows:

1/6 teaspoon - 2/12 containers.

x teaspoon - 1 container.

The first line can be simplified as follows:

1/6 teaspoon - 1/6 containers.

(as 2/12 = 1/6).

Hence there is one teaspoon of vanilla in one container of pudding.

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In June, Lupita saved $115 for retirement. In July, she saved $165. To the nearest percent, what was the increase in Lupita's retirement savings from June to July?

Answers

To the nearest percentage point, Lupita's retirement funds increased by 44% from June to July.

What is a percentage?

A percentage is a term used in mathematics to describe a value or ratio that may be expressed as a fraction of 100. If we need to calculate a percentage of a number, we should first divide it by 100 before multiplying it by the remainder. Consequently, the percentage refers to a portion per hundred.

Given that Lupita had $115 in her bank account at the beginning of June

The amount Lupita had set aside climbed to $165 in July.

We are expected to calculate the percentage growth in money.

% increase

[tex]= {(165 - 115) / 115 } × 100 = 43.48%. ≈ 44%[/tex]

To the nearest percentage point, Lupita's retirement funds increased by 44% from June to July.

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(4-347-12)-(8+7-27)
PLEASE HELPPPP

Answers

Answer:

=4-347-12-8-7+27

=-343

*Mark me brainliest -_- *_*

Answer: (4-347-12)-(8+7-27)= -343

Write a quadratic equation with solutions -3 and 4/7.

Answers

(X-4)(x+7)
X^2 +7x-4x-28=0
X^2 +3x-28=0

solve the given differential equation by undetermined coefficients. y'' + 2y = −18x2e2x

Answers

The general solution to the differential equation y'' + 2y = −18x^2e^(2x) by undetermined coefficients is y = (-9x^2)e^(2x).

The given differential equation is y'' + 2y = −18x^2e^(2x)

To solve this equation by undetermined coefficients, we first find the characteristic equation of the homogeneous equation, which is r^2 + 2 = 0.

The solutions to this equation are r = i and r = -i. Therefore the general solution to the homogeneous equation is yh(x) = c1 cos(x) + c2 sin(x)

Now, we use the method of undetermined coefficients to guess the form of the particular solution. Since the non-homogeneous term is −18x^2e^(2x), we guess that the particular solution is of the form

yp = (Ax^3 + Bx^2)e^(2x) + Cx^2e^(2x).

Substituting this into the differential equation, we get

y'' + 2y = (6Ax + 2B)e^(2x) + 2Cxe^(2x) = −18x^2e^(2x)

Equating the coefficients of the like terms, we get:

6A = 0, 2B = −18, and 2C = 0

Solving for A, B and C, we get A = 0, B = −9 and C = 0

Therefore, the general solution to the differential equation y'' + 2y = −18x^2e^(2x) by undetermined coefficients is y = (Ax^3 + Bx^2)e^(2x) + Cx^2e^(2x) = (-9x^2)e^(2x)

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I NEED HELP ASAP

8th grade Pre-algebra

Answers

Pre-algebra is a primary branch of algebra designed to prepare students for a standard high school algebraic course

In eighth grade, what is Pre-Algebra?

Real number system, linear connections, functions, linear equations, systems of equations, geometric concepts such as transformations, Pythagorean Theorem and angle relationships, and scatter plots are all studied.You will learn about and investigate subjects such as integers, order of operations, algebraic expressions, one and two-step equations, proportions, percents, probability, geometry, and linear equations in Pre-Algebra.

Pre-algebra classes are intended to prepare pupils for a typical algebraic curriculum in high school. Integers, fractions, square roots, step equations, linear equations, and decimals are introduced to students. They will also learn how to use variables to solve basic problems.

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i’ll mark brainliest !!!!!

Answers

Answer: x =2

Step-by-step explanation: Since the two triangles have to shared sides then all sides must be equal so 9x-12=3x. -6x=-12 and x =2

Answer:

9x=12

so

x=12/9 = 4/3

and

Prove that the bisectors of two supplementary angles are perpendicular to each other.

Answers

the bisectors of two supplementary angles are perpendicular to each other is proved along with the given diagram.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Here, we have,

from the given diagram we get,

∠BOP=x  &   ∠AOP=180-x

and, ∠NOP=x/2   &   ∠MOP=(90-x/2)

Now,

∠MON=∠MOP+∠NOP

          =90-x/2 + x/2

          =90

Hence, it is proved that  the bisectors of two supplementary angles are perpendicular to each other.

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Mr. Coupe and his friend have 2,798
paddle balls to split among 40 hoppers.
How many will be in each hopper?
MULTIPLICATION
Estimate:
Solve:
DIVISION

Answers

Answer:

To find out how many paddle balls will be in each hopper, you can divide the total number of paddle balls by the number of hoppers.

paddle balls ÷ hoppers = paddle balls per hopper

2798 ÷ 40 = 69.95

So there will be approximately 69.95 paddle balls in each hopper. Since it's not possible to put 0.95 of a paddleball in a hopper, you can round it to the nearest whole number. This means each hopper will have 70 paddleballs.

Step-by-step explanation:

In a random sample of 8 customers, what is the probability that exactly 4 of them will use the Self-Checkout?

In the box below, give your answer correct to 3 significant figures. If you are correct, you will receive a CORRECT message here.

Answers

The binomial probability that exactly 4 out of 8 customers will use the Self-Checkout is 0.008.

What is binomial probability?

Binomial probability is the probability based on the binomial distribution.

The binomial distribution is used in statistics to summarize the likelihood that a value will take one of two independent values (for example, success or failure) under a given set of parameters or assumptions.

The binomial distribution formula is:

Pₓ = {ⁿ \ ₓ} pˣ qⁿ ⁻ ˣ

P = binomial probability

x = number of times for a specific outcome within n trials

{ⁿ \ ₓ} = number of combinations

p = probability of success on a single trial

q = probability of failure on a single trial

n = number of trials

Random sample, n = 8

Specific outcome within n trials = 4

pˣ = 0.5⁴

= 0.0625

qⁿ = (1 - 0.5)⁸ ⁻ ⁴

= 0.5⁴

= 0.0625

Pₓ = {ⁿ \ ₓ} pˣ qⁿ ⁻ ˣ

= 8/4 x 0.0625 x 0.0625

= 2 x 0.0625 x 0.0625

= 0.0078125

= 0.008

Thus, the probability of precisely 4 customers using the Self-Checkout is 0.008.

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A dry cleaner charges $2.95 to clean a shirt and a different price to clean a pair of pants. Tiwon paid $29.05 to clean 4 shirts and 5 pairs of pants. Which of these number sentences represents the cost to clean a pair of pants? Need help with this !!

Answers

Answer:

We can set up an equation using the information provided. Let x be the cost to clean a pair of pants.

The cost to clean 4 shirts is 4*2.95 = $11.80

The cost to clean 5 pants is 5x

The total cost is $11.80 + 5x = $29.05

So, we can represent the cost to clean a pair of pants as:

x = $29.05 - $11.80 / 5

This number sentence shows the cost to clean a pair of pants is x = $4.81

What is the sum of 6 of the interior angles of a regular decagon​

Answers

The sum of the interior angles of a decagon is 1440 degrees.

What is meant by regular decagon?

The inner angles of a normal decagon are equal. Every interior angle in a normal decagon is 144° in length because 1440°/10 = 144°. Additionally, each external angle measures 36°.

A decagon is a ten-sided polygon, or ten-gon, in geometry. A basic decagon's inner angles add up to 1440°, and its external angles add up to 360°.

A decagon is a polygon with ten sides, ten internal angles, and ten vertices, or points where the sides meet. There are 10 equal-length sides and 10 equal-sized interior angles in a normal decagon. The sum of all the angles, each of which is 144°, is 1,440°.

A decagon is a polygon having 10 sides.

The sum of interior angles of a polygon having 'n' sides is (2n- 4) × 90°.

sum of interior angles of a decagon= (204) × 90°

= 16 x 90°

= 1440°

Therefore, the sum of the interior angles of a decagon is 1440 degrees.

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What is one solution of the following system?


Enlarged left-brace 1st row 2 y minus 2 x = 12 2nd row x squared + y squared = 36
(–6, 0)
(–2, 4)
(0, –6)
(4, –2)

Answers

One solution of the following system is:

A. (–6, 0)

What is the solution for the system?

The above mathematical expression requires that we use the substitution formula to obtain the correct value.

2y - 2x = 12     ... 1

x² + y² = 36     ... 2

For equation 1

2y = 12 + 2x

          2

y = 6 + x           ... 3

Now we substitute equation 3 in equation 2

x² + (6 + x)² = 36

= x² + 36 + 12x + x² = 36

2x² + 12x = 36 -36

2x² + 12x = 0

2x (x + 6) = 0

x = 0, -6

When we substitute x for 0 in the third equation, we will have

y = 6 + 0 = 6

If we substitute x to be -6 in the third equation, we will arrive at

y = 0.

Therefore, the two solutions that can be obtained are (0,6) and (-6,0) as seen in the first option.

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A shopkeeper buys 1800 eggs st $1.20 per dozen. 5% of the eggs are rotten. Find the selling price of each egg if he wants to earn 33% profit on the cost price

Answers

$0.14 is the selling price of each egg.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that shopkeeper buys 1800 eggs  $1.20 per dozen.

1 dozen = 12 eggs

So 1.20 ÷ 12 = $0.1 cost of one egg

Total cost (C) 1800×0.1 = $180

1800×0.95 = 1710 eggs to be sold

Profit % = 100×(SP - C)/C

33 = 100×(SP - 180/180

SP = $239.4

239.4 ÷ 1710 = $0.14 is the selling price of each egg.

Hence, $0.14 is the selling price of each egg.

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What is 249 rounded to the nearest 10?

Answers

Answer: 250

Step-by-step explanation:

249 is closer to 250 than 240

Answer:

Step-by-step explanation:

249 is rounded to closest to 250

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.
Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
У = -16x^2 + 246x + 100

Answers

The rocket reaches a maximum height of 1045.6 feet.

How to find the maximum height of a parabola by quadratic formula

The height of the rocket under free fall is described by a parabola and parabolas are explained by second order polynomials, whose form are:

y = a · x² + b · x + c

Where:

a, b, c - Real coefficients.x - Time, in seconds.y - Height, in feet.

The maximum height can be found by means of discriminant of the quadratic formula associated with following variant:

a · x² + b · x + (c - y) = 0

Discriminant

b² - 4 · a · (c - y) = 0

b² = 4 · a · (c - y)

b² / (4 · a) = c - y

y = c - b² / (4 · a)

If we know that a = - 16, b = 246 and c = 100, then the maximum height reached by the rocket is:

y = 100 - 246² / [4 · (- 16)]

y = 1045.563 ft

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What is Lateral surface area?

Answers

Answer:

The lateral surface of an object is all of the sides of the object, excluding its base and top (when they exist). The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.

Which point on the number line represents the difference 2.6 - 1.2?

Answers

The answer is 1.4

What is the number line?

In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.

Given here:

2.6-1.2=1.4

Hence, The answer is 1.4

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What are the answers to these

Answers

Step-by-step explanation:

Let’s use the equation: 3|2x-1|-8=-14

3(|2x−1|)−8=−14

Step 1: Add 8 to both sides.

3(|2x−1|)−8+8=−14+83(|2x−1|)=−6

Step 2: Divide both sides by 3.3. (|2x−1|)3=−63|2x−1|=−2

Step 3: Solve Absolute Value. |2x−1|=−2

No solutions. (Absolute value cannot be less than 0.)

1. a. Provide two independent events that you know the probability of.

b. Explain how you know these events are independent.

c. Find the probability that they both occur.

2. a. Provide two dependent events.

b. Explain how you know these events are dependent.

c. Explain why these dependent events might require a different method for calculating the probability of both events occurring.

Answers

Example of dependent events and independent events and their probabilities are as given below.

How to provide two independent events with known probability?

1. a. Two independent events that I know the probability of are:

Rolling a fair die and getting a 4 (probability of 1/6)

Flipping a fair coin and getting heads (probability of 1/2)

b. I know these events are independent because the outcome of one event does not affect the outcome of the other event. The outcome of rolling a die does not affect the outcome of flipping a coin, and vice versa.

c. The probability of both events occurring is (1/6) × (1/2) = 1/12

2a. Two dependent events:

i. Drawing a red card from a deck of cards and then drawing another card (without replacement)

ii. Drawing a red ace and then drawing another red card (without replacement)

b. I know these events are dependent because the outcome of the first event affects the outcome of the second event. The probability of the second event depends on the outcome of the first event.

c. These dependent events might require a different method for calculating the probability of both events occurring, such as conditional probability.

The probability of both events occurring would be P(A and B) = P(A) × P(B|A)

where P(A) is the probability of the first event and P(B|A) is the probability of the second event given that the first event has occurred.

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Which linear system could the graph represent?

Responses

A 4x + 4y = 4

x + y = 14x + 4y = 4 x + y = 1

B 2x − y = 4

x + 2y = −32x − y = 4 x + 2y = −3

C −x + y = 2

x + 2y = 2−x + y = 2 x + 2y = 2

D x + y = 2

2x + 2y = 8x + y = 2 2x + 2y = 8

Question 2

The system represented by the graph has how many solutions?

Responses

A 1

B 2

C 0

D infinitely many

Answers

The linear system could the graph represent is, x + y = 2 & 2x + 2y = 8

So, Option D is correct.

What is the equation of line?

The equation of a straight line is a relationship between x and y coordinates, The equation of a straight line for given two points  is y-y₁ = y₂-y₁/x₂-x₁(x-x₁)

Given that,

The graph of  linear system

first line intersects the  x & y   axes at (2,0) & (0,2) respectively

Similarly, second line intersects the  x & y   axes at (4,0) & (0,4) respectively

By using two point form of the line we can write equation for both the lines,

x + y = 2  _____ (1)

x + y = 4  _____ (2)

by multiplying 2 in equation  (2)

2x + 2y  = 8

Hence, The linear system is  x + y = 2 & 2x + 2y = 8

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HELPPPPPPPPPPPPPPP!!!!!

Answers

Answer:

f(1) = -1

Step-by-step explanation:

Quadratic equations form the shape of a parabola, which looks like a U-shape.

Graph

To find f(1) we need to find the y-value when x = 1. To do this, we can just look at the graph. Find where on the graph x = 1, then look for where the graph intersects this value. This graph has an x value of 1 when y = -1. We can see this at the coordinate point (1,-1). Thus, f(1) = -1.

Equation

We can also solve this using the equation of the function. This function is represented by f(x) = x² - 2. Now, to find f(1), plug 1 in for x.

f(1) = 1² - 2f(1) = -1

This also shows that f(1) = -1.

Show the relationship between the number of miles and the number of hours in the ratio 24 to 2

Answers

The ratio of miles to hours is 24 to 2, which can be written as 24:2 or 12:1.

What is the ratio?

A ratio is a mathematical comparison of two or more quantities. It is used to show the relationship between the sizes of different quantities or amounts. It is typically expressed as a ratio of two numbers, such as 24:2, with a colon separating the numbers.

The ratio of miles to hours is 24 to 2. This can also be written as 24:2 or 12:1. It means that for every 24 miles, 2 hours are required to travel that distance.

Hence, The ratio of miles to hours is 24 to 2, which can be written as 24:2 or 12:1.

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A diamond speculator used the line with equation
y = 5000x250 to estimate the price of diamond
rings.
5) What would the speculator predict fot he price of the
0.29-carat diamond ring?
6) What would the speculator predict fot he price of the
0.21 -carat diamond ring?

Answers

A speculator estimates that the price of the 0.29 carat diamond ring will be y = 1200 by y = 5000x - 250.

what is equation ?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

given

y = 5000x - 250

y = 5000 * 0.29 - 250

y = 1200

A speculator estimates that the price of the 0.29 carat diamond ring will be y = 1200 by y = 5000x - 250.

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Find the perimeter of the triangle 4 square root 16

Answers

Answer:

I beleive 4

Step-by-step explanation:

let me know if im wrong

Colah Company purchased $2,000,000 of Jackson, Inc., 6% bonds at par on July 1, 2021, with interest paid semi-annually. Colah determined that it should account for the bonds as an available-for-sale investment. At December 31, 2021, the Jackson bonds had a fair value of $2,300,000. Colah sold the Jackson bonds on July 1, 2022 for $1,800,000.


Required:
1. Prepare Colah’s journal entries for the following transactions:

The purchase of the Jackson bonds on July 1.
Interest revenue for the last half of 2021.
Any year-end 2021 adjusting entries.
Interest revenue for the first half of 2022.
Any entries necessary upon sale of the Jackson bonds on July 1, 2022, including updating the fair-value adjustment, recording any reclassification adjustment, and recording the sale.
2. Complete the following table to show the effect of the Jackson bonds on Colah’s net income, other comprehensive income, and comprehensive income for 2021, 2022, and cumulatively over 2021 and 2022.

Answers

If Colah Company purchased $2,000,000 of Jackson, Inc., 6% bonds at par on July 1, 2021. The journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

What is journal entry?

Journal entry is used by companies to record their day to day business transaction.

July 1 2021

Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000

December 31 2021

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

December 31 2021

Debit Available-for-sale securities $300,000

Unrealized Gain - Other comprehensive income $300,000

($2,000,000 - $2,300,000)

June 30 2022

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

The entry necessary upon sale of the Jackson bonds on July 1, 2022 is:

July 1 2022

Debit Available-for-sale securities  $2,300,000

Unrealized Gain-Other comprehensive income account $300,000

Credit Cash $1,800,000

Credit Realized Loss on the sale of Available-for-sale securities $200,000  

[$1,800,000 - $2,000,000= $200,000 (Realized Loss)]

2. Table to show the effect of the Jackson bonds on Colah’s net income,

                             2021                   2022                       Total

Net Income       $60 ,000        ($140,000)              ($80,000)

( 60,000 - $200,000= -$140,000)

OCI                       $300,000                                         $300,000

Comprehensive Income $360,000 ($140,000) $220,000

Therefore the  journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

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Determine the distance between the points (-2,3) and (5,-3):

Answers

The distance between the given 2 points (-2, 3) and (5, -3) is 9.21 units.

What is the distance?

The length of the line segment bridging two points on a plane is known as the distance between the points. d=((x2 - x1)2 + (y2 - y1)2) is a common formula to calculate the distance between two points.

This equation can be used to calculate the separation between any two locations on an x-y plane or coordinate plane.

So, we have the points:

(-2, 3) and (5, -3)

Distance formula: d=((x2 - x1)² + (y2 - y1)²)

Insert values and calculate as follows:

d=((5 - (-2))² + (-3 - 3)²)

d=((7)²+(-6)²)

d=√85
d=9.21

Therefore, the distance between the given 2 points (-2, 3) and (5, -3) is 9.21 units.

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Can someone help I will give all stars!!! Please help! I’ll help you aswell

Answers

Answer:

D) y = 5/3x - 7

A) 5/3

Step-by-step explanation:

5x - 3y = 21   Subtract 5x from both sides

5x - 5x - 3y = -5x + 21

-3y = -5x + 21  Divide all the way through by -3

[tex]\frac{-3y}{-3}[/tex] = [tex]\frac{-5}{-3}[/tex] x + [tex]\frac{21}{-3}[/tex]

y = [tex]\frac{5}{3}[/tex] x = 7

The slope is the number before the x 5/3

Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded
values to calculate the next value. Round your final answer to the nearest tenth.

Answers

The area of the given triangle is 45 square units.

What is the area of a triangle?

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

In the given triangle, measure of the side base is 10 units and height is 9 units.

Here, area of a triangle = 1/2 ×10×9

= 45 square units

Therefore, the area of a triangle is 45 square units.

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Which system has to do with regulate body functions and maintain homeostasis?. 50 L of oxygen at a pressure of 64 KPais compressed to a volume of 4. 1 L to fit in a scuba tank. Round to thenearest whole number gardeners would need to use 960 newtons of force to lift a potted tree 45 centimeters onto a deck. instead, they set up a lever. if they press the lever down 2 meters, how much force do they use to lift the tree? a city is facing a major expense, but it is short on money. it might _______ in order to pay for the expense consider a metabolic reaction that has g' < 0 kj/mol and g < 0 kj/mol. what can you predict about the values of keq and the mass action ratio (q) that would result from these free energy changes? Choose one or more:A. Q = 1 B. Q > 1 C.Keq > 1 D.Keq = 1 E. Keq < 1 F. Q < 1 Your brother has decided to ask you for advice about saving up for his teenager's college fund.He plans on withdrawing $8,000 at the end of year 4, $12,000 at the end of year 5, and $16,000 each at the end of year 6 and year 7.How much does your brother need to deposit today into an account with an annual interest rate of 3%? an inductive approach to research introduced by barney glaser and anselm strauss in which theories are generated solely from an examination of data rather than being derived deductively in known as The circumference of the Curiosity Rovers wheels are 157. 1 cm. If the wheels are rotated 14, 756. 8 times, how many miles has Curiosity traveled FILL IN THE BLANK the ________ receive messages from other neurons, while the _______ carry messages on to other neurons or to muscle or gland cells. Let's assume that there are many points in 3-D space. Each point has its coordinate as (x, y, z). All x, y, z are floating point value. Anyway, can you sort these 3-D point by an sorting order string "xyz"? That's means x coordinate is primary, y is secondary, z is last priority? The order string can be of any combination of "xyz", "xzy", "yxz", "yzx", "zxy", "zyx" Hint: using lambda expression and Python sorted function Sample Inputs: [(2, 1, 2), (2, 1, 3), (1, 2, 3), (1, 2, 2), (3, 1, 2), (3, 3, 1), (2,3,1), (1, 3, 3), (2, 4, 1)] Sample output: Original: [(2, 1, 2), (2, 1, 3), (1, 2, 3), (1, 2, 2), (3, 1, 2), (3,3,1), (2, 3, 1), (1,3,3), (2, 4, 1)] Sorted by xyz: [(1, 2, 2), (1, 2, 3), (1, 3, 3), (2, 1, 2), (2, 1, 3), (2, 3, 1), (2, 4, 1), (3, 1, 2), (3, 3, 1)] Sorted by zyx: [(2,3,1), (3, 3, 1), (2, 4, 1), (2, 1, 2), (3, 1, 2), (1, 2, 2), (2, 1, 3), (1, 2, 3), (1, 3, 3)] Three forces act on an object at the same time. F1 = 100. N at 30.0degrees north of east, F2 = 200. N at 45.0degrees north of west, and F3 = 100. N at 30.0degrees east of south. What are the magnitudes and direction of both the resultant force and equilibrant force? Provide the subnet masks using both formats, (example: /16 and 255.255.0.0), for these common needs:A LAN segment with 200 people that all have a desk PC and an IP phone. Which principle of relative age dating can be used to determine when the river formed on the landscape?a. cross cutting relationsb. inclusionsc. original horizontalityd. superpoistion What should you do when conducting an informational interview ? A non-relativistic particle of mass m is held in a circular orbit around the origin by an attractive force f (r) = kr where k is a positive constant(a) Show that the potential energy can be writtenU(r) = kr2 /2Assuming U(r) = O when r = O(b) Assuming the Bohr quantization of the angular momentum of the particle, show that the radius r of the orbit of the particle and speed v of the particle can be writtenwhere n is an integer(c) Hence, show that the total energy of the particle is(d) If m = 3 x IO26 kg and k = 1180N mi , determine the wavelength of the photon in nm which will cause a transition between successive energy levels. what is location and what does it mean and why is it important to society regardless of the results of a gel electrophoresis, what else would you need before determining guilt karlas koffee shop has $70,000 in assets and $30,000 in liabilities. what is the owners equity? Using = .04, a confidence interval for a population proportion is determined to be .65 to .75. if the level of significance is decreased, the interval for the population proportion _____.a. Not enough information is provided to answer this questionb. becomes narrower. c. does not change d. becomes wider the names and sizes of sutures are listed. in each set, circle the suture that has the smaller diamiter: a. 4-0 silk 2-0 silk b. O chromic surgical gut 3-0 chromic surgical gut c. 2-0 polypropylene 2 polypropylene