If A, B, and C represent three matrices of the same size and (A + B) + C = 0, then which statement is true?

Answers

Answer 1

Answer:

Statement c:

a₁₁ + ( b₁₁+ c₁₁ ) = 0

Step-by-step explanation:

The options are:

a: a₁₁ = 0 and b₁₁ = 0

b: a₁₁ - ( b₁₁ + c₁₁ ) = 0

c. a₁₁ + ( b₁₁+ c₁₁ ) = 0

d. a₁₁x( b₁₁ + c₁₁) = 0

We know that A, B, and C are matrices of the same size, so we can write:

[tex]A = \left[\begin{array}{ccc}a_{11}&a_{21}&...\\a_{21}&a_{22}&...\\...&...&...\end{array}\right][/tex]

[tex]B = \left[\begin{array}{ccc}b_{11}&b_{21}&...\\b_{21}&b_{22}&...\\...&...&...\end{array}\right][/tex]

[tex]C = \left[\begin{array}{ccc}c_{11}&c_{21}&...\\c_{21}&c_{22}&...\\...&...&...\end{array}\right][/tex]

And here we have the sum of matrices, remember that:

[tex]A + B = \left[\begin{array}{ccc}a_{11}&a_{21}&...\\a_{21}&a_{22}&...\\...&...&...\end{array}\right] + \left[\begin{array}{ccc}b_{11}&b_{21}&...\\b_{21}&b_{22}&...\\...&...&...\end{array}\right] = \left[\begin{array}{ccc}a_{11} + b_{11}&a_{21} + b_{12}&...\\a_{21} + b_{21}&a_{22} + a_{22}&...\\...&...&...\end{array}\right][/tex]

And we know that (A + B) + C = 0 (a matrix full of zeros)

then:

[tex]\left[\begin{array}{ccc}(a_{11} + b_{11}) + c_{11} &(a_{21} + b_{12}) + c_{12}&...\\(a_{21} + b_{21}) + c_{21}&(a_{22} + b_{22}) + c_{22}&...\\...&...&...\end{array}\right] = \left[\begin{array}{ccc}0&0&...\\0&...&...\\...&...&...\end{array}\right][/tex]

Then:

(a₁₁ +  b₁₁ )+ c₁₁ = 0

These are real numbers, so we can rewrite this as:

a₁₁ + ( b₁₁+ c₁₁ )  = 0

Then statement c is the correct one.

Answer 2

Answer:

C

Step-by-step explanation:

unit test review edge 2021


Related Questions

-5 1/4 - (-7 1/2)
A: -12 3/4
B: 2 3/4
C: -2 1/4
D: 2 1/4​

Answers

Answer:

B

Step-by-step explanation:

-5-(-7)=2 1/4+1/2=3/4

Simplify 6(3x+4y)+2(x+2y)

Answers

Answer:

20x + 28y

Step-by-step explanation:

Answer:

6(3x+4y) + 2(x + 2y)

18x+24y + 2(x + 2y)

20x + 28y

Please help me worth 18 points

Answers

Answer:

B

Step-by-step explanation:

[tex]1)\cos\ Q = \frac{PQ}{QR} = \frac{\sqrt{7}}{5}[/tex]

[tex]2)\ PQ = 2XY, PQR\ and\ XYZ\ - similar\ =>\ RQ = 2YZ\ and\ PR = 2XZ[/tex]

[tex]3)\ Sin\ Z = \frac{XY}{YZ} = \frac{\frac{PQ}{2}}{\frac{QR}{2}} = \frac{PQ}{QR} = \frac{\sqrt{7}}{5}[/tex]

[tex]Answer: \ \frac{\sqrt{7}}{5}[/tex]

A principal of $$4800wa inveted at 6. 25% interet, compounded annually. Let t be the number of year ince the tart of the invetment. Let y be the value of the invetment, in dollar. Write an exponential function howing the relationhip between y and t

Answers

The exponential function showing the relationship between y and t is y = 4800e^(0.0625t).

What is exponential function?

An exponential function is a function of the form f(x) = bx, where b is a positive real number and x is a real number. This type of function is commonly used to model the rate of growth or decay of a quantity over time. Exponential functions have the property that their derivatives (slope) are proportional to the value of the function itself. This property makes them useful for modeling phenomena with compound growth or decay, such as populations, interest rates, and radioactive decay.

In this equation, 4800 is the original principal, 0.0625 is the interest rate (6.25%) and t is the number of years since the start of the investment. This equation can be used to calculate the value of the investment after any number of years. For example, if t = 5, then y would equal 6,842.50. This means that after 5 years, the value of the investment would be 6,842.50.

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What is the domain of √?

Answers

The domain of √ (square root) is all non-negative real numbers.

The domain of a function represents the set of all input values that can be used in the function without resulting in an undefined or meaningless output.

The square root function, represented by , is only defined for non-negative real numbers. This is because the square root of any negative number is not a real number, it becomes an imaginary number.

This is because in order for the square root to be defined, the radicand (the value inside the square root symbol) must be greater than or equal to zero. Therefore, any real number greater than or equal to zero can be used as the input for the square root function, making its domain all non-negative real numbers.

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Q4. Renna went on a journey that took 712 hours. The journey started at 22 48 on Monday. At what time and day did the journey finish?

Answers

Answer:

Step-by-step explanation:

Divide 712 hours by 24 hours/day, obtaining 29 2/3 days, which in turn breaks down into 28 days plus 1 2/3 days, or 4 weeks plus 1 2/3 days.  '4 weeks' takes us to a Monday, 22:48, 4 weeks after the start of the journey.

To this we add 1 2/3 days, reaching 16 hours into the Tuesday immediately following that Monday.  That would be approximately 16:00 on that Tuesday, but we must work backwards 1:12 hours:  subtracting 1:12 from 16:00 on Tuesday yields 14:48

The journey finishes at 14:48 4 weeks and 1 day after it began.

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Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 2x2 + 16
g(x) = √5x^3

Answers

The required function that gives [tex]f(g(x))[/tex] that represents the total amount of money Raul earned is

                [tex]f(g(x)) = 10x^{3}+16[/tex]

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Mostly functions are written as f(x) where x is the input of the function.

Given,

[tex]f(x) = 2x^{2}+16[/tex]

[tex]g(x)[/tex] = [tex]\sqrt{5x^{3} }[/tex]

If [tex]f(x)[/tex] represents amount of money Raul earns per ticket and [tex]g(x)[/tex] represents number of tickets Raul sells per hour, where x is the number of hours he works, then,

[tex]f(g(x))[/tex] represents the total amount of money Raul earned in a day.

To find [tex]f(g(x))[/tex], substitute value of [tex]g(x)[/tex] in the place of x in function [tex]f(x)[/tex] .

[tex]f(g(x))[/tex] = [tex]f[/tex]([tex]\sqrt{5x^{3} }[/tex])

          = 2(    [tex]\sqrt{5x^{3} }[/tex])² +16

          = 10x³ + 16

Therefore the required function is [tex]f(g(x)) = 10x^{3}+16[/tex].

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During two games, the number of points scored by a basketball team Increased from 75 to 87. By what percentage

did the number of points scored increase?

Answers

The percentage of increase in the number of points is 16 %

What Does Percent Mean?

A ratio or figure stated as a fraction of 100 is called a percentage. The percent marker is frequently used to indicate it,%

given the data,

The basketball team's total point total was 75.

The basketball team's enhanced point total was 87.

The difference between the basketball team's total points scored and its increased points are the increase in points.

The increase in points = 87 - 75

                                     = 12 points

So, the percentage increase in points = ( increase in points/number of points scored by the basketball team ) x 100

The percentage increase in points = ( 12 / 75 ) x 100

                                                         = 0.16 x 100

                                                         = 16 %

Therefore, the percentage increase is 16 %

Hence, the percentage of increase in the number of points is 16 %

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if logx 27 +logy 4 =5 and log x 27 -logy 4=1 find x and y​

Answers

Answer:

[tex](x,y)\rightarrow(3,2)[/tex]

Step-by-step explanation:

I assume you mean [tex]\log_x(27)+\log_y(4)=5[/tex] and [tex]\log_x(27)-\log_y(4)=1[/tex]:

[tex]\biggr(\log_x(27)+\log_y(4)\biggr)-\biggr(\log_x(27)-\log_y(4)\biggr)=5-1[/tex]

[tex]2\log_y(4)=4\\\log_y(4)=2\\4=y^2\\2=y[/tex]

[tex]\log_x(27)+\log_y(4)=5\\\log_x(27)+\log_2(4)=5\\\log_x(27)+2=5\\\log_x(27)=3\\27=x^3\\3=x[/tex]

Find the area of a square with a length of ((n ^ 3 * m ^ 4)/(nm)) ^ 2 inches.

Answers

The area of a square with a length of ((n ^ 3 * m ^ 4)/(nm)) ^ 2 inches is n^6*m^8/(nm)^4.

Define square.

In geometry, a square is a flat shape with four equal sides and four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).

Write general formula to find area of square.

The general formula to find area of square is A=a^2 where is a is length of sides.

The area of a square is given by:

A= l^2 where l is the length

So l= n^3*m^4/(nm)^2

A=l^2= n^6*m^8/(nm)^4

So area of the square is n^6*m^8/(nm)^4.

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Find the missing length of the figure.

Answers

Answer:

x:16

this is related to the Pythagorean theorem

What is the volume of the rectangular prism?

Answers

Answer: 72cm³

Step-by-step explanation:

lengh x width x base with means 6 x 4 x 3

Solve the equation. c4−5=4

Answers

Answer:

[tex]4c - 5 = 4 [/tex]

[tex]4c = 9[/tex]

[tex]c = \frac{9}{4} [/tex]

please answer this
i really need it
i will give u a crown

Answers

Answer:

i am not to sure but if i am corroct it IS polynomial

Step-by-step explanation:

hope this helps

Two angles are a linear pair. Their measures are represented by x+10 and 3x+10. What are the measures of the angles

Answers

Answer:

50°  and  130°

Step-by-step explanation:

Linear pair of angles are supplementary, which means their sum is 180

x + 10 + 3x + 10 = 180

4x + 20 = 180

4x = 160

x = 40

x + 10 = 40 + 10 = 50°

3x + 10 = 3(40) + 10 = 120 + 10 = 130°

A cylinder shaped dispenser holds 5,652 cubic centimeters of liquid soap and is now full. The radius of the dispenser is 7.5 centimeters. What is the difference between the height of the soap in the full dispenser and the height when 4,239 cubic centimeters of soap remains in the dispenser

Answers

On solving the provided question, we can say that difference of cylinder between the height of the soap 8 cm.

what is cylinder?

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

[volume of cylinder]=pi*r²*h- =  h=[volume of cylinder]/(pi*r²)

Volume=5652 cm³

r=7.5 cm, so,  h= [tex][5652]/(3.14*7.5²) = h=32 cm[/tex]

the height of the soap in the full dispenser is 32 cm

the height when 4,239 cubic centimeters of soap remains in the dispenser is h  [tex]=[4239]/(3.14*7.5²) = h=24 cm[/tex]

the difference is [tex]32-24 = 8 cm[/tex]

the answer is

8 cm

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Which of the following expressions represents 237.45 written in expanded form in terms of the sums of powers to tens

Answers

The expanded form in terms of the sums of powers to tens of 237.45 is [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex]

As per the given data the given decimal number is 237.45.

Here we have to determine the expanded form in terms of the sums of powers to tens.

Expanded Form: In its extended sense, A number is divided up into its place values, then expanded to represent the value of each digit.

Then N can be written in expanded in for terms of 10 is

[tex]$$\Rightarrow N=a \times 10^2+b \times 10^1 + c \times 10^0+d \times 10^{-1}+e \times 10^{-2}$$[/tex]

Let the given number 237.45 is denoted by N.

N = 237.45

First, write the expanded form of a number before the decimal place.

Then using [tex]$\circledast$[/tex], we have

[tex]& N=2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times \frac{1}{10}+5 \times \frac{1}{10^2} \\[/tex]

[tex]& N=2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2} \\[/tex]

237.45 = [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex]

Therefore the expanded form of 237.45 is [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex].

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Which of the following expressions represents 237.45 written in expanded form in terms of the sums of powers to tens

A. [tex]$2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}$[/tex]

B. [tex]$237 \times 100+45 \times 1 / 1000$[/tex]

C. [tex]$2 \times 10^2+3 \times 10^1+7 \times 10^0-4 \times 10^1-5 \times 10^2$[/tex]

D. 200+30+7+0.4+0.05

The sum of the first 6 terms of a geometric series is 9 times the sum of the first 3 terms, find the common series.​

Answers

The exponential function y = a · 2ⁿ ⁻ ¹, where a is any real number, is generates the geometric series.

How to derive the formula of a geometric series

Geometric series are sets of elements generated by exponential functions of the form:

y = a · bⁿ ⁻ ¹, where a and b are real numbers and n is a natural number.

Where:

a - Value of the first element of the series.b - Increase rate.n - Index of the n-th element.y - Value of the n-th element.

According to the statement, we derive the following expression between the two sums:

9 · a · (1 + b + b²) = a · (1 + b + b² + b³ + b⁴ + b⁵)

Now we proceed to simplify and find the value of b:

8 · a · (1 + b + b²) = a · (b³ + b⁴ + b⁵)

8 · (1 + b + b²) = b³ + b⁴ + b⁵

b⁵ + b⁴ + b³ - 8 · b² - 8 · b - 8 = 0

Then, the value of b by numerical methods is equal to 2.

The geometric series is generated by the exponential function y = a · 2ⁿ ⁻ ¹, where a is any real number.

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a tropical punch recipe calls for 1.5 L of coconut milk. How many millimeters of coconut milk are in the recipe?

Answers

Answer:

1500 ml

Step-by-step explanation:

Answer:

1500 kkkkkkkkkkkkkkkkk

Which equation represents the partial sum of the geometric series?
4
Σ (125)(1/5)^n-1
n=1

Answers

Answer:

Option 1

Step-by-step explanation:

Given expression representing the partial sum of the geometric series,

[tex]\sum_{n=1}^{n=4}(125)(\frac{1}{5})^{n-1}[/tex]

Expression that represents the sum of a geometric series is,

[tex]\sum_{n=1}^{n}(a)(r)^{n-1}[/tex]

Here, n = number of terms

a = first term

r = common ratio

By comparing both the expressions,

n = 4

a = 125

r = [tex]\frac{1}{5}[/tex]

From the given options,

Option 1

First term 'a' = 125

Common ratio 'r' = [tex]\frac{25}{125}[/tex] = [tex]\frac{1}{5}[/tex]

Number of terms 'n' = 4

Therefore, Option 1 will be the correct option.

What is the IQR?
Please help

Answers

Answer:

A) 7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Q1 = 34

Q3 = 41

41- 34 = 7

If m/KLH = 134°, solve for x.
19=134+2
H
25°
N
(4x + 9)°
L
K

Answers

Step-by-step explanation:

KLH is a triangle, and the sum of all angles in a triangle is 180°.

now, we know the angle at L = 134°.

because of the symmetry of the angles in such a regular parallelogram, the upper angle at H is 25°, and the lower angle at H (one of the angles in our triangle) is (4x + 9)°.

and the upper angle at K is (4x + 9)°, and the lower angle at K is 25°.

so, we have

180 = 134 + 25 + (4x + 9) = 159 + 4x + 9 = 168 + 4x

12 = 4x

x = 12/4 = 3

b. The linear scale factor of two similar
shapes is 14:7. If the area of the
bigger shape is 490cm, what is the
area of the smaller shape?​

Answers

Answer:

Area of smaller shape = 245 cm²

Step-by-step explanation:

Given:

Scale factor ration [Big shape to small shape] = 14:7

Area of bigger shape = 490 cm²

Find:

Area of smaller shape

Computation:

Area of smaller shape = Area of bigger shape[7 / 14]

Area of smaller shape = 490[7 / 14]

Area of smaller shape = 490[7 / 14]

Area of smaller shape = 35[7]

Area of smaller shape = 245 cm²

Right triangle ABC is similar to right triangle DEF. If the side lengths for triangle ABC are 15, 20 and 25, respectively, which values could represent the side lengths of triangle DEF

Answers

Answer:

D. 18, 24, 30

Step-by-step explanation:

The easy way to do this is to look for the answer with equal differences between the numbers:

24-18 = 6

30-24 = 6

We can do this because we know the triangles are similar. The difference between 15, 20 and 20, 25 is equal.  

Two-hundred people are at a wedding. The dinner tables seat 10 people. How
many tables are needed to seat all of the guests?
tables

Answers

Answer:

20 tables

Step-by-step explanation:

you can set up an equation where P/10=tables where P=number of people. so since you have 200 people coming, so you divide 200 by 10 and you will have 20 tables

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls mark brainliest

You want to ride your bike down the street to your friend's house, which is 340 meters from your house. The trip takes you 68 seconds from start to finish. How fast are you traveling on your bike?

Answers

The speed of the Bike is 5 meters per second

What is speed?

Speed is a scalar quantity that describes how fast an object is moving . It is defined as the distance an object travels divided by the time it takes to travel that distance. The units of speed are typically meters per second (m/s) or kilometers per hour (km/h).

To find out how fast you are traveling on your bike, you can use the formula:

Speed = [tex]\frac{Distance}{Time}[/tex]

In this case, the distance is 340 meters and the time is 68 seconds. So, you can plug these values into the formula and get:

Speed = 340 meters / 68 seconds

Speed =  [tex]\frac{340 meters}{68 seconds}[/tex]  =   5 meters per second

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HEEEEEELLLPPPPPPPPP!!!!!!!!!!!!!!

Answers

A and B for sure, Im unsure about D but if you’re solving an expression using a formula you would usually end up with another expression as your sum. I hope this is somewhat helpful
Yeah bro bro bro bro bro

What is the inverse of φ?

Answers

The inverse of a function is a function that "undoes" the original function. If f is a function and x is an element in the domain of f, then the inverse of f is denoted as f^-1(x) and is defined as the element in the domain of f such that f(f^-1(x)) = x.

The symbol "φ" (phi) is not a commonly used notation for any function. It is a Greek letter and can be used in different fields such as physics, mathematics, and engineering to represent different things depending on the context.

It is important to note that not all functions have inverses. A function has an inverse only if it is a bijective function, which is a function that is both injective and surjective, meaning that it maps every element of the domain to a unique element in the range and vice-versa.

So to find the inverse of a function, you have to first make sure that the function is bijective. If so, you can find the inverse function by switching the positions of x and y, then replacing y with f^-1(x) or x with f^-1(y) and solving for the new x or y.

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Ai Mi went to the store to buy some chicken. The price per pound of the chicken is $3. 50 per pound and she has a coupon for $2. 50 off the final amount. With the coupon, how much would Ai Mi have to pay to buy 3 pounds of chicken? Also, write an expression for the cost to buy pp pounds of chicken, assuming at least one pound is purchased. ​

Answers

Ai Mi have to pay $10.50 to buy 3 pounds of chicken.

An expression for the cost to buy pp pounds of chicken, assuming at least one pound is purchased.

Cost = (3.5 * pp) - 2.5

The cost to buy 3 pounds of chicken without the coupon would be 3 * $3.50 = $10.50

With the coupon, Ai Mi would have to pay $10.50 - $2.50 = $8.

The expression for the cost to buy pp pounds of chicken:

Cost = (3.5 * pp) - 2.5

Here, pp represents the number of pounds of chicken that Ai Mi wants to buy.

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System of linear inequalities

The girl's swim team is hosting a fundraiser. They would like to raise at least $500.They are selling candles for $5 and flower arrangements for $6.The girls estimate that at most they will sell 200 items. How many candles and flowers arrangement. The girl estimates that at most they will sell 200 items. how many candles and flower arrangements were sold?

S: what is the problem with asking you to find

O:organize, and circle the numbers and underline the following information

let x be ..........

let y be.........

L: write your plan in words.........

set up the equations.........

V: carry out your plan

E: examine the result, write the answer in complete sentences
Then graph the equation

Answers

Using substitution method to solve the system of linear equation, the girls have tp sell 700 flower arrangement.

What is System of Linear Equation

A system of linear equations is a collection of two or more linear equations that use the same set of variables. The solution of the system is the set of values for the variables that satisfy all of the equations in the system.

To solve this problem, we have to set our variables as;

Let;

x = number of candiesy = number of flowers

The equations can be written as;

5x + 6y = 500 ...eq(i)

x + y = 200 ...eq(ii)

From equation ii,

x = 200 - y ...eq(iii)

Put eq(iii) into eq(i)

5(200 - y) + 6y = 500

1000 - 5y + 6y = 500

1000 + y = 500

y = -500

Put y = -500 into eq(ii)

x - 500 = 200

x = 700

From the solution, it shows they couldn't sell any candy and had to sell 700 flower arrangement.

Kindly find the attached graph below

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For the function f(x) shown below, find the definite integral f?(x)dx You come home one night to find a burglar in your house. Your heart starts racing and you begin to perspire. These physical reactions are triggered by the Setting up an effective nonroutine meeting begins with Multiple choice question. argument. planning. delegation. criticism. nurse is reading a journal article about the use of real-time ultrasonography, which allows the health care provider to obtain information about the fetus. The nurse would expect the article to describe which type of information What is the sum of all the positive two-digit integers where one of the digits is three times the other URGENT WILL GIVE BRAINLIEST - NEED IN DETAIL - 25 POINTS!!!!!Were there conflicts and debates over the question of slavery in South Carolina?How did South Carolina contribute to sectionalism? Do while statement flowchart when 8 moles of nh3 was used in a reaction how many mole of o2 needs to be used Is the probability that a recessive allele gets lost during generations higher than the probability that a dominant allele gets lost? When Bashir commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be shorter than 32 minutes, to the nearest 10th? Within the manufacturing plant of Reliable Garment Production Co., a company that makes clothing for many of the top fashion labels, there is a great deal of conflict. The employees who assemble the garments are extremely frustrated. They are rarely able to meet their daily production quotas because the employees who cut the fabricare almost always running behind schedule. Which of the following is the most likely source of this conflict? a. Differentiation in orientations b. Sequential interdependence c. Competition for limited resources d. Reciprocal interdependence Suppose that each fatty acid in a certain fat can make 9 molecules of acetyl CoA. Predict how many ATP can be made from the fatty acids in this fat Grammar Question: Which one is correct? ( correct punctuation)How many presidents have come from the midwest?How many presidents have come from the Midwest?How many Presidents have come from the Midwest?How many Presidents have come from the midwest? The average weekly salary of two employees is $5350. One makes $250 more than the other. Find their salaries.One employee makes $and the other makes $? What is the most important thing in interpreting a literary text? Complete the table with values for x or y that make this equation true : 3x+y=15. How do you round 38 to two decimal places? Write a recursive formula for an,the nth term of the sequence 125, -25, 5, ... Design and implement a program that reads a series of 10 integers from the user and prints their average. Read each input value as a string, and then attempt to convert it to an integer using the Integer.parseInt method. If this process throws a NumberFormatException (meaning that the input is not a valid number), print an appropriate error message and prompt for the number again. Continue reading values until 10 invalid integers have been entered. Please answer this correctly without making mistakes