solve -11 - x + = - 5 (2x-3) + 7

Answers

Answer 1

Answer:

Let's see what to do buddy...

Step-by-step explanation:

_________________________________

[tex] - 11 - x = - 5(2x - 3) + 7[/tex]

[tex] - 11 - x = - 10x + 15 + 7[/tex]

[tex] - 11 - x = - 10x + 22[/tex]

Subtract the sides of the equation plus 11 :

[tex] - x = - 10x + 22 + 11[/tex]

[tex] - x = - 10x + 33[/tex]

Subtract the sides of the equation plus 10x

[tex]10x - x = 10x - 10x + 33[/tex]

[tex]9x = 33[/tex]

Divided the sides of the equation by 9

[tex] \frac{9}{9}x = \frac{33}{9} \\ [/tex]

[tex] x = \frac{33}{9} = \frac{3 \times 11}{3 \times 3} = \frac{11}{3} \\ [/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️


Related Questions

2a) (4.NF.A.1) Here are three fractions: 2/3,4/5, 6/9. Two of these fractions are equivalent to each other. Which two? You must choose BOTH correct answers.​

Answers

Answer:

2/3 and 6/9

Step-by-step explanation:

you can just ÷ the fractions to turn them to decimals

2÷3=0.6666666667 and 6÷9=0.6666666667 they are the same so they are equivalent.

The two correct answers are 2/3 and 6/9!!!

I need help with that​

Answers

Answer:

its the 2nd one i think

what is the value of (2^4) ^3 divided by 2^6

Answers

Answer:64

Step-by-step explanation:

2*2*2*2=4*4=16. 16*16*16=4,096. 2*2*2*2*2*2=4*4*4=64. 4,096/64=64.

round 7,883 to nearest thousand

Answers

Answer:

8,000

Step-by-step explanation:

the nearest thousand is 8,000 as it is past 7,500.

Hi!

Your answer will be: 8,000.

hope this helps!

3/4 divided 3/8 what is the quotient of

Answers

3/4 divided by 3/8= 2

Hope this helps!! <3

Answer:2

Step-by-step explanation: Because the answer is 2 :)

f(x) = (x + 1)2 – 4 g(x) = –4 |x + 1| Which statement compares the ranges of the functions? The ranges of both f(x) and g(x) are limited to y ≥ –1. The ranges of both f(x) and g(x) are limited to y ≤ –1. Since the range of f(x) is limited to y ≤ 0 and the range of g(x) is limited to y ≥ –4, the ranges overlap for the values –4 ≤ y ≤ 0. Since the range of f(x) is limited to y ≥ –4 and the range of g(x) is limited to y ≤ 0, the ranges overlap for the values –4 ≤ y ≤ 0.

Answers

Answer:

Since the range of f(x) is limited to y ≥ –4 and the range of g(x) is limited to y ≤ 0, the ranges overlap for the values –4 ≤ y ≤ 0.

Step-by-step explanation:

From Function theory we get that range of a function is the set of values of [tex]y[/tex] so that exist a respective value of [tex]x[/tex], whose set is the domain of the function. Let be [tex]f(x) = (x+1)^{2}[/tex] and [tex]g(x) = -4\cdot |x+1|[/tex], the ranges of each function are, respectively:

f(x):

From Real Algebra we know that the square of every number is a non-negative number, which means that:

[tex](x+1)^{2} \geq 0[/tex]

[tex](x+1)^{2}-4 \geq -4[/tex] (Compatibility with addition)

[tex]f(x) \geq -4[/tex] (Definition/Result)

The range of [tex]f(x)[/tex] is: [tex]Ran \{f(x)\} = [-4, +\infty)[/tex]

g(x):

From Real Algebra we know that a absolute value leads to non-negative number, which means that:

[tex]|x+1|\geq 0[/tex]

[tex]-4\cdot |x+1| \leq 0[/tex] ([tex]a> b \longrightarrow a \cdot c < b\cdot c[/tex], if [tex]c < 0[/tex])

[tex]g(x) \leq 0[/tex] (Definition/Result)

The range of [tex]g(x)[/tex] is: [tex]Ran\{g(x)\} = (-\infty, 0][/tex]

If we compare each range, we came into the conclusion that:

[tex]-4 \leq y \leq 0[/tex].

Thus, correct answer is: Since the range of f(x) is limited to y ≥ –4 and the range of g(x) is limited to y ≤ 0, the ranges overlap for the values –4 ≤ y ≤ 0.

Answer:

Its D

Step-by-step explanation:

Got it right on EDGE

Suppose you have a 6-face unfair dice with numbers 1,2,3,4,5,6 on each of its faces. If the probability distribution of throwing a number up is as follows:

1 with probability 1/12
2 with probability 1/12
3 with probability 1/12
4 with probability 1/12
5 with probability 1/12
6 with probability 1/2

Which of the following statement is correct?

a. The mathematical expectation of the dice throwing a number up is 3.5
b. The mathematical expectation of the dice throwing a number up is 6
c. The mathematical expectation of the dice throwing a number up is 4.25
d. This is not a proper probability distribution because all the probabilities do not sum up to one

Answers

Answer:

D is correct

Step-by-step explanation:

Here, we want to select which of the options is correct.

The correct option is the option D

Since the die is unfair, we expect that the probability of each of the numbers turning up

will not be equal.

However, we should also expect that if we add the chances of all the numbers occurring together, then the total probability should be equal to 1. But this does not work in this case;

In this case, adding all the probabilities together, we have;

1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/2

= 5(1/12) + 1/2 = 5/12 + 1/2 = 11/12

11/12 is not equal to 1 and thus the probability distribution cannot be correct

Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below he
Part A
Choose the compound inequality that describes the elevation x of Ted's house.
O A 113 s 15 - xs 120
OB. 113 s x + 15 s 120
O C. 113 < x < 120
O D. 113 - x - 15 s 120

Answers

Answer:

d

Step-by-step explanation:

Assume that both inspectors inspect every item and that if an item has no flaw, then neither inspector will detect a flaw.

a. Assume that the probability that an item has a flaw is 0.10. If an item is passed by the first inspector, what is the probability that it actually has a flaw?
b. Assume that the probability that an item has a flaw is 0.10. If an item is passed by both inspectors, what is the probability that it actually has a flaw?

Answers

Answer:

a) 0.011

b) 0.0032

Step-by-step explanation:

first lets say A₁ denotes the event that first inspector detects a flaw and A₂ is event that the law will be detected by the second inspector,

also let B denote the event that an item has a flaw.

a)

Given that;

P(B) = 0.1

so

P(A₁ / B ) = 0.9,  P(A₂ / B ) = 0.7

using Baye's rule, the probability that an item has a flaw if it was passed by the first inspector is;

P(B / A₁ⁿ ) =  [P(A₁ⁿ / B ) P(B)] / [ P(A₁ⁿ / B ) P(B) + P(A₁ⁿ / Bⁿ ) P(Bⁿ) ]

the probability that the first inspector will not detect the flaw if it actually exist is;

P(A₁ⁿ / B ) = 1 - P(A₁ / B )

= 1 - 0.9

= 0.1

Since there are no false detections, the probability that the first inspector will not detect the flaw, given that item does not have flaws is;

P(A₁ⁿ / Bⁿ ) = 1.0

so the probability that the item has flaw if it was passed by the first inspector is;

P(B / A₁ⁿ ) =  [(0.1) (0.1)] / [ (0.1 ) (0.1) + (1.0) (1 - 0.1) ]

= 0.01 / ( 0.01 + 0.9)

= 0.01 / 0.91

= 0.011

b)

Also by Bayes rule, the probability that the item has a flaw if it was passed by both inspectors is;

P(B / A₁ⁿ ∩ A₂ⁿ) =  [ P(A₁ⁿ ∩ A₂ⁿ / B) P(B)] / [ P(A₁ⁿ ∩ A₂ⁿ / B) P(B) + P(A₁ⁿ ∩ A₂ⁿ / Bⁿ) P(Bⁿ)]

Now since inspectors function independently, the probability that both inspectors will not detect the flaw if it actually exists is;

P(A₁ⁿ ∩ A₂ⁿ / B) = P(A₁ⁿ / B) P(A₂ⁿ / B)

= ( 1 - 0.9 ) ( 1 - 0.7)

= 0.1 * 0.3

= 0.03

since there are no false detections, the probability that both inspectors will not detect the flaw, given that item does not have a flaw is;

P(A₁ⁿ ∩ A₂ⁿ / Bⁿ) = 1.0

therefore

the probability that the item has a flaw if it was passed by both inspectors is;

P(B / A₁ⁿ ∩ A₂ⁿ) = [(0.03)(0.1)] / [(0.03)(0.1) + (1.0)(1-0.1)

= 0.003 / 0.93

= 0.0032

1. The students put together 12 jigsaw puzzles. Each puzzle had 345 pieces. How many puzzle pieces did they put together in all?​

Answers

Answer:

4140 pieces

Step-by-step explanation:

This is true because we would have to multiply the number of jigsaw puzzles and how many pieces each on of them had to see how many pieces they put together in all.

To set up the equation we would do 345 times 12,

if you calculate it, the answer would be 4140.

Hopes this helps, and good luck!! :)

tonya bought a blanket for 33.35, a pillow for 11.25, and gloves for 16.75. She paid 60 and the rest she borrowed from her friend. If tonya got 8.65 change from the cashier, how much did she borrow from her friend to pay for all the items

Answers

Lets break this down.

So, if you add up all the money, that would be 61.35. That leaves you with 1.35.

Next, to find how much she payed, you have to think, theres a one dollar bill, 5 dollar bill, 10 dollar bill, and so on.

So if you think about the left over change, and add it to the extra 1.35 it would be 10!

Hence, your answer is 10 dollars.

The money Tonya borrowed from her friend to pay for all the items is $10.

Given that, tonya bought a blanket for 33.35, a pillow for 11.25, and gloves for 16.75. She paid 60 and the rest she borrowed from her friend and she got 8.65 change from the cashier.

We need to find the money she borrowed from her friend to pay for all the items.

What is an equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.

Let the money paid to the cashier be x.

Now, the total cost of the items=33.35+11.25+16.75

=$61.35

So, x=61.35+8.65

=$70

The money she borrowed from friend=70-60=10

Therefore, the money Tonya borrowed from her friend to pay for all the items is $10.

To learn more about an equation visit:

brainly.com/question/1529522.

#SPJ2

What are nutrients?​

Answers

Nutrients are compounds in food essentials.

Of three angles of a triangle, one is three times the smallest and the other is five times the smallest. Find the angles

Will mark brainliest

Answers

Answer:

20, 60, 100

Step-by-step explanation:

Since the angles in a triangle add up to 180 degrees, we can change the statement by saying x+3x+5x = 180 degrees. That would mean that 9x is equal to 180, and 180/9=20. 20 times 5 is 100, and 20 times 3 is 60.

Brainliest is given to the correct answer!

A high school race track is composed of a rectangle and two semicircles.

a. If the length "l" of the rectangle is twice as long as the diameter of the semicircles, write a formula for "p," the distance around the track, in terms of the radius "r" of the semicircles.

b. Rewrite the formula from a so the radius of the semicircles is given in terms of the distance around the track. Show your work.

Answers

Answer:

a. [tex] p = 2\pi r + 8r [/tex]

b. [tex] r = \frac{p}{2\pi + 8} [/tex]

Step-by-step explanation:

a. Radius of semicircle (r) = r

Diameter of semicircle (d) = 2r

Length of rectangle (l) = 2*diameter of semicircle = 2*2r = 4r

Distance around the track (p) = circumference of circle + 2(l)

Note: the two semicircles of the track = 1 full circle

Circumference of full circle = πd = π*2r = 2πr

Distance around the track:

p = 2πr + 2(4r)

p = 2πr + 8r

b. Rewriting the formula to make radius, r, the subject of the formula in terms of distance around the track.

[tex] p = 2\pi r + 8r [/tex]

Factor out r

[tex] p = r(2\pi + 8) [/tex]

Divide both sides by (2π + 8)

[tex] \frac{p}{2\pi + 8} = \frac{r(2\pi + 8)}{2\pi + 8} [/tex]

[tex] \frac{p}{2\pi + 8} = r [/tex]

[tex] r = \frac{p}{2\pi + 8} [/tex]

What is the equation in standard form of the line shown
on the graph?
The equation of the line in standard form is
vbx +
N +
2
-2
2
4
-2
-4

Answers

Answer:

Step-by-step explanation:

.

Answer: 3x-4y=12

Step-by-step explanation:

A ruby throated humming bird beats its wings 53 times in each second. How many times does the ruby throated humming bird beat its wings 5 second

Answers

Answer:

265

Step-by-step explanation:

Answer:

265

Step-by-step explanation:

53*5  (its not that hard man)

The equation used to calculate the circumference of a circle is​

Answers

Answer:

c=πd

Step-by-step explanation:

Circumference= pi * diameter

11 = -3k - 22 -8k what is the value of k?

Answers

Answer:

k = -3

Step-by-step explanation:

Step 1: Write equation

11 = -3k - 22 - 8k

Step 2: Solve for x

Combine like terms: 11 = -11k - 22Add 22 to both sides: 33 = -11kDivide both sides by -11: -3 = kRewrite: k = -3

Step 3: Check

Plug in k to verify it's a solution.

11 = -3(-3) - 22 - 8(-3)

11 = 9 - 22 + 24

11 = -13 + 24

11 = 11

How do I Invert 6/7? Can you please help me!

Answers

Answer:

0. 857142

i hope this helps

Fatima earned an 85 average in her science class. The average is based on 6 tests that she takes over the span of the marking period. On her first four tests she earned an 83, a 78, an 87, and an 80. On her sixth test she scored 8 points more than on her fifth test.
Let x be the score Fatima received on her fifth test. Set up an equation using x that models this scenario. Solve the equation and state what Fatima earned on her fifth and sixth tests.

Answers

Answer:

Fifth Score = 87

Sixth Score = 95

Step-by-step explanation:

Given

[tex]Average = 85[/tex]

[tex]Scores = 83, 78, 87, 80[/tex]

[tex]Fifth\ score = x[/tex]

[tex]Sixth\ Score = 8 + x[/tex]

Required

Set up an equation

Solve for the fifth and sixth score

Average is calculated as thus:

[tex]Average = \frac{\sum x}{n}[/tex]

[tex]Average = \frac{83 +78 + 87 + 80 + x + 8 + x}{6}[/tex]

Substitute 85 for Average

[tex]85 = \frac{83 +78 + 87 + 80 + x + 8 + x}{6}[/tex]

[tex]85 = \frac{83 +78 + 87 + 80 + 8+ x + x}{6}[/tex]

[tex]85 = \frac{336+ 2x}{6}[/tex]

Multiply both sides by 6

[tex]85 * 6 = 336 + 2x[/tex]

[tex]510= 336 + 2x[/tex]

Solve for 2x

[tex]2x = 510 - 336[/tex]

[tex]2x = 174[/tex]

Solve for x

[tex]x = 174/2[/tex]

[tex]x = 87[/tex]

Hence:

[tex]Fifth\ Score = 87[/tex]

[tex]Sixth\ Score = 87 + 8[/tex]

[tex]Sixth\ Score = 95[/tex]

Triangle ABC is transformed to create triangle MNO and triangle PQR as described below.
• MNO represents the translation 2 units left and 2 units down of triangle ABC.

• PQR represents the dilation of triangle ABC by a scale factor of 2
Which of these is correct?

A - The transformation of ABC to PQR preserves both the side lengths and angle measures of the triangle

B - The transformation of ABC to PQR preserves the side lengths but not the angle measures of the angle

C - The transformation of ABC to MNO preserves both side lengths and angle measures of the triangle

D - The transformation of ABC to MNO preserves the angle measures but no the side lengths of the triangle.

Answers

Answer: the transformation of ABC to MNO preserves both side lengths and angle measures of the triangle.

Step-by-step explanation:

Answer:

B - The transformation of triangle ABC to triangle MNO preserves both the side lengths and angle measures of the triangle.

Universal Claims Processors processes insurance claims for large national insurance companies. Most claim processing is done by a large pool of computer operators, some of whom are permanent and some of whom are temporary. A permanent operator can process 16 claims per day, whereas a temporary operator can process 12 per day, and on average the company processes at least 450 claims each day. The company has 40 computer workstations. A permanent operator generates about 0.5 claim with errors each day, whereas a temporary operator averages about 1.4 defective claims per day. The company wants to limit claims with errors to 25 per day. A permanent operator is paid $64 per day, and a temporary operator is paid $42 per day. The company wants to determine the number of permanent and temporary operators to hire in order to minimize costs.

Required:
a. Solve the linear programming model using graphical method.
b. Interpret the slack/surplus variables that you obtain based on the optimal values of decision variables in (a).
c. Are there any binding constraints in the model? Explain.

Answers

The answer is a- solve the liner programming model using graphics method

PLEASE HELP I AM BEING TIMED!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!!! 100 PTS!!!

The sum and product of two linear functions are shown.
Which statements can be used to describe the original functions f(x) and g(x)? Select two options.

A. When added, the sum of the y-intercepts must be 1.
B. When multiplied, the product of the y-intercepts must be –15.
C. Either f(x) or g(x) has a positive rate of change and the other has a negative rate of change.
D. f(x) could have a rate of change equal to 1 and g(x) could have a rate of change of 2.
E. f(x) could have a rate of change equal to 2 and g(x) could have a rate of change of –6.

Answers

Answer:

A and D

Step-by-step explanation:

Let the functions be

f(x)= ax + bg(x) = cx + d

Their sum

j(x) = (a+c)x + b+d

Their product

k(x)= (ax + b)(cx + d)The answer options

A. When added, the sum of the y-intercepts must be 1.

Correct. We see point (0,1) of j(x) on the graph. b+d = 1

B. When multiplied, the product of the y-intercepts must be –15.

Incorrect. -15 is the vertex of k(x). The vertex of ax^2 + bx + c is -b/2a. So it has no relation to constants of the functions f(x) and g(x)

C. Either f(x) or g(x) has a positive rate of change and the other has a negative rate of change.

Incorrect. It refers to the value of ac. If one of a or c has opposite sign it makes k(x) to open down but it is not as per graph.

D. f(x) could have a rate of change equal to 1 and g(x) could have a rate of change of 2.

Correct. As per above statement, both linear equations could be positive as their sum and product is positive from the graphs of j(x) and k(x)

E. f(x) could have a rate of change equal to 2 and g(x) could have a rate of change of –6.

Incorrect. It should result in decreasing function of j(x) with slope of -4 but it is increasing as per graph.

a
Positive
b
Negative
c
Undefined
d
Zero

Answers

Answer:

B. Negative

Step-by-step explanation:

Because it is sliding down and if it was going up then it would be positive

Write 4.2678×10 to the 5th power in decimal form

Answers

Given problem:

  Write 4.2678 x 10⁵ in decimal form;

   Solution

   To do this simply multiply by 100000 or move the decimal the right in five places.

  4.2678 x 10⁵;

            4.2678 x 100000 = 426780

The answer is 426780

If the exponent is a negative power, move the decimal to the left.

Como se convierte un entero en fracción

Answers

Answer:

aquí es cómo

Step-by-step explanation:

Convertir el número decimal a fracción colocándolo sobre una potencia de diez. Como hay 2 números a la derecha del punto decimal, coloque el número decimal sobre 10 ^ 2 (100). Luego, agregue el número entero a la izquierda del decimal.

espero que esto ayude.

Si puede, no dude en marcarme como Brainliest, sería muy apreciado :D

Which of the following graphs is a function ​

Answers

Answer:

D

Step-by-step explanation:

Hope this helps:)

Answer:

Graph B is a function

Step-by-step explanation:

Hope this helps

Plz mark brainliest

A recent study examined hearing loss data for 1628 U.S. teenagers. In this sample, 337 were found to have some level of hearing loss. News of this study spread quickly, with many news articles blaming the prevalence of hearing loss on the higher use of ear buds by teens. At MSNBC (8/17/2010), Carla Johnson summarized the study with the headline: "1 in 5 U.S. teens has hearing loss, study says." To investigate whether this is an appropriate or a misleading headline, you will conduct a test of significance with the following hypotheses:
Null: π = 0.20 Alternative: π ≠ 0.20
A) Describe what the symbol π stands for in this context.
B) Use the Theory-Based Inference applet to determine a p-value.
C) Based on your p-value is there strong evidence that the proportion of all U.S. teens with some hearing loss is different than 1 in 5 (or 20%)?
D) Using the applet, find a 95% confidence interval for the proportion of U.S. teens that have some hearing loss.
E) What is the margin of error for you confidence interval from part (d) of this question?
F) Based on your confidence interval, is 0.20 a plausible value for the proportion of the population that has some hearing loss? Explain why or why not.
G) Based on your p-value, is 0.20 a plausible value for the proportion of the population that has some hearing loss? Explain why or why not.

Answers

It is C bruh

It is C bruh

It is C bruh

Select the correct answer which rational number is negative
A.2
B-12/-18
C plus1/plus2
D plus3/-11

Answers

Answer: D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

TABE 11742 Mathematics Practice Test Level M Test 1
Mark to Review Later
Question 8/20
One small box of Quit Smoking Now lozenges holds 36 lozenges. One pack contains 12 small boxes. How many lozenges are in a pack?
O 108 lozenges
O 432 lozenges
O 422 lozenges
0 441 lozenges
me bong recorded
o
BA
Type here to search
a

Answers

432 lozenges is the answer thank you!!!
Other Questions
Microsoft develops, produces, and markets a wide range of computer software, including the Windows operating system. On its recent financial statements, Microsoft reported the following information about net sales revenue and accounts receivable (amounts in millions). Current Year Prior Year Accounts receivable, net of allowances of $405 and $426 $19,792 $18,277 Net sales revenue 89,950 85,320According to its Form 10-K, Microsoft recorded bad debt expense of $14 and there were no bad debt recoveries during the current year. Required: What amount of bad debts was written off during the current year? When you record a macro, you can assign it to run from a button or from the _____. Keyboard Home tab Status Bar Task Pane Can someone please help me? Miriam has 3 packs of pencils. Each pack has 6 pencils. She needs a pencil top eraser for each pencil. How many erasers will she need to buy? eleven more than a number squared, decreasedby six;evaluate when t = 5A 2-column table with 6 rows. Column 1 is labeled Key Words with entries eleven, more than, a number, squared, decreased by, six. Column 2 is labeled Replace With entries 11, +, t, exponent of 2, minus, 6.Write and evaluate the expression.Check all that apply.Write the expression as 11 +t2 -6Write the expression as 11 +2t -6Write the expression as 11 +StartFraction t Over 2 EndFraction -6The value when t = 5 is 16.The value when t = 5 is 30.The value when t = 5 is 7.5. A recipe indicates 2 carrot cakes will feed 9 people. There are 45students at a party. How many carrot cakes are necessary to feed thestudents? Write a character sketch for your protagonist in your Module One short story condensed milk and Include literal, interpretive, and evaluative information. Your character sketch should be 35 complete sentences and include at least three specific details from the text to support your character analysis. how does wallace stevens use figurative language specifically similes to discuss the death of a soldier? Whose sequence proves triangle ABC is congruent to triangle DEF? Why?plz help me T~T What firefighting equipment did the ancient Egyptians invent? How did the Mongol Empire interact with other nations during peacetime?a The Mongols invited other nations to join their empire.b The Mongols worked with border nations to control their borders.c The Mongols formed trade and diplomatic ties with many nations.d The Mongols created alliances to prevent other countries from attacking. Based on this passage, what complete viewpoint could a prepared speaker share in a discussion? Highlight text that shows Miep Gies's courage. At that moment, I began to feel that I was getting a little more control of the situation. I felt as though I'd grown a little in height. He studied me. I could hear him thinking, Here are two people standing across from each other who are from one country, from one city. One hunts Jews and the other protects them. -Anne Frank Remembered, Miep Gies O I was so scared for Miep Gies in this part. O I found Miep Gies brave in the way she stood up to the man. Her stillness showed control. o I think Miep Gies was very fortunate to have met someone from her home city. 0 Miep Gies had come from Vienna but married a Dutchman and lived in Amsterdam. do your genes affect the function of your circulatory system ? SNC has its own, modest internet-based business. However, the company has been approached by Golden Years Nutraceuticals, a much larger online distributor of third-party brands with connections to a national healthcare website endorsed by a leading senior advocacy association. Therefore, Golden Years reaches a large-and increasing-consumer base of older Americans. This opportunity would generate an additional 10% increase in sales in 2016, followed by increases of 5% in 2017 and 3% in 2018. Increasing the percentage of SNC's business that is conducted online would decrease DSO, because internet sales are collected very quickly. Accounts receivable would decrease by 7 days in the first year and by an additional 3 days in 2017, for a total improvement of 10 days. In 2018, the DSO would decline by another 2 days-in effect, 12 days lower than at the start of 2016. Going forward, the DSO would stay at this lower level and SNC's profit margin would remain unchanged. What would you like to do about this opportunity?Accept or Decline 2016 2017 2018 Post 2018Incremental Summary Income Statement ($ in thousands)Change in Sales $1,600 $2,480 $3,034 $3,034Change in Cost of Sales $1,492 $2,313 $2,830 $2,830Change in EBIT $108 $167 $204 $204Incremental Balance Sheet ($ in thousands)Change in Accounts Receivable $145 $241 $289 $289Change in Inventories $368 $570 $698 $698Change in Accounts Payable $162 $251 $307 $307 Consider a population of Clostridium difficile living in the human gut. Regular ingestion of an antibiotic is a selective process on the gut ecosystem. Which of the following events could be considered adaptive mutations for C. difficile in this environment? A. Acquisition of a plasmid with a gene encoding an enzyme to inactivate the antibiotic B. Deletion of the gene encoding a restriction endonuclease C. Duplication of the gene encoding flagellin D. Point mutation changing a single amino acid in a membrane transporter What causes Angela to eat a lot without exercising and not gain weight, whileMartha eats less, exercises more, but still gains weight?A. MetabolismB. FatC. ProteinD. Vitamins 1. Part A: How does the author develop the priests point of view?A. The priest is genuinely affected by the womans death, which is shown by contrasting the priests grief with the siblings melodramatic mourning B. The priest viewed death as an opportunity to make the magistrate his ally, which is indicated by the priests false praise of the motherC. The priest views death as a job, which is revealed by contrasting his actions with the siblings genuine grief D. The priest is not actually a member of the clergy, which is revealed through the descriptions of his boredom and rich meals Select the negation of the following statement.If it is night time, then the sky looks blue.0 It is not night time, and the sky does not look blue.It is night time, and the sky does not look blue.0 If it is not night time, then the sky does not look blue.0 If the sky does not look blue, then it is not night time. ____________ is a device used to transfer an image. a. press c. brayer b. gouge d. relief Breathing occurs when the changes in air pressure causes air to flow into or out of your lungs as you inhale or exhale.true or false