which of the following has the least steep graph?

A.) y = 1/2x + 3

B.) y = x + 24

C.) y = 3x - 16

D.) y = 2x + 7/15​

Answers

Answer 1

Answer:

A) y=1/2x+3

Step-by-step explanation:


Related Questions

Suppose xy > 0. Describe the points whose coordinates are solutions to the inequality. please answer in detail

Answers

Answer

so,if x*y> than zero, we know that neither x nor y can be zero, because anything multiplied by zero is equal to zero. now , we also know, that a negative  times a negative is positive, and a positive  times a positive times a positive is a positive

Step-by-step explanation:

What the correct answer now

Answers

Answer:

14.3

Step-by-step explanation:

first find length of VW

10/sin 119 = VW/ sin 26

VW = 5

angle V = 180 - 119 - 26 = 35

then area = 1/2 ab sin C

1/2 (10)(5) sin 35 = 14.33941.....

y=-2x-21 determine the intercepts of the line (,) (,) ASAPPPP

Answers

Answer:

x intercept (10.5,0)

y intercept (0, -21)

Step-by-step explanation:

y=-2x-21

there are two intercept for a line

x intercept, the point of given equation of  line which lies on x axis.

For x intercept corodinate of y is o

Thus, value x intercept is form (x,0)

putting these value in y=-2x-21, we find x intercept

0=-2x-21

2x = 21

x = 21/2 = 10.5

Thus, x intercept (10.5,0)

Y intercept, the point of given equation of  line which lies on y axis.

For Y intercept coordinate of x is o

Thus, value y intercept is form (0,y)

putting these value in y=-2x-21, we find y intercept

y = -2*0 -21

y = -21

Thus, y intercept (0, -21)

 what is the measure of AC 

Answers

Answer:

A

Step-by-step explanation:

The inscribed angle ABC is half the measure of its intercepted arc, thus

arc AB = 2 × 44° = 88° → A

Answer:

A

Step-by-step explanation:

The measure of an inscribed angle is half the measure of it's intercepted arc

Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?

Answers

Answer:

Your answer is correct

Step-by-step explanation:

(2^5/4)² = 4^5/2 = √4^5

The correct answer is option B which is [tex]\sqrt{2^5}[/tex].

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression will be solved as follows:-

[tex]E = ([ 2^{\frac{1}{2}} \times 2^{\frac{3}{4}}])^2\\E = (2^{({\frac{1}{2}+\frac{3}{3}})})^2\\E = (( 2 )^ {\frac{5}{4})}^2 \\E = ( 2 ) ^{\frac{5}{2}}\\E = \sqrt{2^5}[/tex]

Therefore the correct answer is option B which is [tex]\sqrt{2^5}[/tex].

To know more about Expression follow

https://brainly.com/question/723406

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Drag the tiles to the correct boxes to complete the pairs.
This table gives Information about vehicles sold at a dealership in a month.
Gasoline Diesel
18
5
Hatchback
Sedan
15
12
SUV
3
7
Analyze this data, and match each percentage to the description It represents. Round your answers to the nearest whole number.
30%
44%
21%
8%
42%
78%
the percentage of hatchbacks that run on gasoline
the percentage of diesel vehicles that are hatchbacks
tum. All rights reserved.

Answers

Answer:

The percentage of hatchbacks that run on gasoline: 78%

The percentage of diesel vehicles that are hatchbacks: 21 %

Step-by-step explanation:

The given table represents the following:

Hatchbacks that run on Gasoline = 18

Hatchbacks that run on Diesel = 5

Total number of hatchbacks = 23

Sedan that run on Gasoline = 15

Sedans that run on Diesel = 12

Total number of sedans = 27

SUVs that run on Gasoline = 3

SUVs that run on Diesel = 7

Total number of SUVs = 23

Total number of gasoline vehicles = 36

Total number of Diesel vehicles = 24

To find:

the percentage of hatchbacks that run on gasoline

the percentage of diesel vehicles that are hatchbacks

Solution:

[tex]\text{Percentage of hatchbacks that run on gasoline = } \dfrac{\text{Number of hatchbacks on gasoline}}{\text{Total number of hatchbacks}}\times 100\\\Rightarrow \text{Percentage of hatchbacks that run on gasoline = } \dfrac{18}{23}\times 100 \approx 78\%[/tex]

[tex]\text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{\text{Number of hatchbacks that run on diesel}}{\text{Total number of diesel vehicles}}\times 100\\\Rightarrow \text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{5}{24}\times 100 \approx 21\%[/tex]

So, the answer is:

The percentage of hatchbacks that run on gasoline: 78%

The percentage of diesel vehicles that are hatchbacks: 21%

Answer:

I used a calculator and this is what can up with

Step-by-step explanation:

2 There are x fish in a pond.
Omar puts 5 more fish in the pond.
How many fish are in the pond now?​

Answers

Answer:

x+5

Step-by-step explanation:

We are adding fish

There were x and then we added 5

There are now

x+5

Answer:

x+5

Step-by-step explanation:

since there are x fish, adding five more would make it x+5        

Irving cannot remember the correct order of the five digits in his ID number. He does remember that the ID number contains the digits 1, 4, 3, 7, 6. What is the probability that the first three digits of Irving's ID number will all be odd numbers?

Answers

Answer: 1/10

Step-by-step explanation:

given:

numbers contained in the i.d

1,4,3,7,6

1. permutations of 5 possible outcome

T = 5

= 5 * 4 * 3 * 2 *1

= 120 times.

2. permutations  of  3 odd numbers

( 1,3 and 7 )

T = 3

= 3 * 2 * 1 * 2 * 1

= 12

probability of of first three digits being odd numbers

P = 12 / 120

= 1 / 10

Answer: The probability is 0.10

Step-by-step explanation:

The ID number has five digits, and the digits can be 1, 4, 3, 7 and 6, and I will assume that each digit appears only once.

Then if we want to calculate the probability that the first 3 digits will be odd is:

Suppose that we have 5 slots, we want that in the first two slots to have odd numbers.

In our set, we have only 3 odd numbers {1, 3 and 7}

Then if we want an odd number in the first digit, we have 3 options

If we want an odd number in the second digit, we have two options (because we already selected one in the first selection)

If we want an odd number in the first digit, we have only one option.

For the fourth digit we have one of the two remaining even options, so we have 2 options.

For the fifth digit, we have only one digit.

The number of combinations is equal to the product of the number of options in each selection:

c = 3*2*1*2*1 = 12

Now, the total number of combinations is:

For the first digit we have 5 options

for the second digit we have 4 options.

for the third digit we have 3 options.

for the fourth digit we have 2 options.

for the fifth digit we have 1 options.

The number of combinations is:

C = 5*4*3*2*1 = 120.

Then the probability that the first 3 digits are odd numbers, is equal to the quotient between number of combination that start with 3 odd digits and the total number of combinations:

P = c/C = 12/120 = 0.10

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

Domain > 0,  Range C(x) > 2

Step-by-step explanation:

x is the distance, distance is always large than 0 => x > 0

=> Domain x > 0

Multiply both sides by 0.75

=> 0.75x > 0

Add both sides by 2

=> 0.75x + 2 > 0 + 2

=> 0.75x + 2 > 2

=> Range C(x) = 0.75x + 2 > 2

2.
The roots of the equation x2-3x - m(m + 3) = 0,
where m is a constant, are
(a) m, m + 3
(b) -m, m + 3
(c) m,- (m+3) (d) -m, -(m + 3)
(AI 2011)​

Answers

Answer:

(b) -m, m + 3

Step-by-step explanation:

x² − 3x − m(m + 3) = 0

x² − 3x = m(m + 3)

x² − 3x + 9/4 = m(m + 3) + 9/4

(x − 3/2)² = m(m + 3) + 9/4

(x − 3/2)² = m² + 3m + 9/4

(x − 3/2)² = (m + 3/2)²

x − 3/2 = ±(m + 3/2)

x − 3/2 = m + 3/2, -m − 3/2

x = m + 3, -m

A small cargo plane currently has 140 pounds of cargo aboard. In addition, n boxes weighing 45 pounds each will be brought aboard. Suppose that the total weight of the cargo on board must be less than p pounds. Using the values and variables given, write an inequality describing this.

Answers

Answer:

The inequality that represents this situation is: [tex]140 + 45*n < p[/tex]

Step-by-step explanation:

Since the plane already had 140 pounds on board and "n" boxes will be loaded on it, then the weigh of each box multiplied by the number of box should be the extra cargo on the plane. This extra cargo added to the previous load must be less than the limit of cargo the plane can take as shown below:

[tex]140 + 45*n < p[/tex]


[tex] \sqrt[3]{y} = a(c + \frac{1}{x})[/tex]

Answers

Greetings from Brasil...

Here we don't have much to go

∛Y = A.(C + 1/X)

∛Y = (AC + A/X)

raising both members to the cube.....

(∛Y)³ = (AC + A/X)³

from Notable Products: (a + b)³ = a³ + 3a²b + 3ab² + b³

Y = (AC)³ + 3(AC)².(A/X) + 3AC(A/X)² + (A/X)³

Y = A³[C³ + (3C²/X) + (3C/X²) + (1/X³)]

The FDA recommends that Americans get on average 3,000mg of salt in their daily diet. Suppose that you are interested in testing if Americans' average daily intake is different from 3,000mg. What is the correct null and alternative hypothesis statements?

Answers

Answer:

Null hypothesis; H0: μ = 3000

Alternative Hypothesis; Ha: μ ≠ 3000

Step-by-step explanation:

We are told that the FDA recommends that Americans get on average 3,000mg of salt in their daily diet.

Now we want to test this claim of whether Americans truly get an average of 3,000mg of salt in their daily diet.

Thus, the hypotheses is as follows;

Null hypothesis; H0: μ = 3000

Alternative Hypothesis; Ha: μ ≠ 3000

Null hypothesis; H0: μ = 3000

Alternative Hypothesis; Ha: μ ≠ 3000

Calculation of the null and alternative hypothesis:

Since

The FDA recommends that Americans get on average 3,000mg of salt in their daily diet.

So, here the hypothesis be like

Null hypothesis; H0: μ = 3000

Alternative Hypothesis; Ha: μ ≠ 3000

Learn more about hypothesis here: https://brainly.com/question/18831983

How does the period of f(x)= cos⁡(2x) relate to the period of the parent function cos⁡ x?

Answers

Answer:

Both have the same period which is 2π

Step-by-step explanation:

Plot the image of point D under a dilation about point P with a scale factor of 1/3

Answers

Answer:

check the graph below

Step-by-step explanation:

Dilation involves changing the size and position of a point

The image of the dilation is (4,-3)

From the figure, the coordinates of point D and point P are:

[tex]D = (13,2)[/tex]

[tex]P = (1,11)[/tex]

The scale factor of dilation is given as:

[tex]k = \frac{1}{3}[/tex]

The rule of dilation about point P is then calculated as:

[tex](x,y) \to k(x_D - x_P, y_D - y_P)[/tex]

So, we have:

[tex](x,y) \to \frac 13 \times (13 - 1, 2- 11)[/tex]

Simplify

[tex](x,y) \to \frac 13 \times (12, -9)[/tex]

Expand

[tex](x,y) \to (\frac 13 \times 12, -\frac 13 \times9)[/tex]

[tex](x,y) \to (4, -3 )[/tex]

This means that, the image of the dilation is (4,-3)

See attachment for the image of the dilation

Read more about dilation at:

https://brainly.com/question/8532602

Find the area of the shape shown below.

Answers

Answer:

28

Step-by-step explanation:

We divide the shape covenientely, like this, and area 1 is 4*4=16

area 2=4*4/2=8

area 3= 2*4/2=4

Area total = Area 1 + Area 2 + Area 3=16+8+4=28

Eparture time of a car is 0540 hours and it traveled for 45 minutes before it reached its destination. At what time did the car arrived at its destination : *

Answers

Answer:

The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6.

Step-by-step explanation:

Departure time = 0540 Hours means 5: 40 am or 40 minutes past 5 in the morning.

Now add 45 mins

Hours : Minutes

      5:        40

      +         45

    5      :    85

But 1 hour contains 60 minutes so 85 - 60 gives 25 minutes . those 60 minutes = 1 hour are carried over the hours and added .

Hours : Minutes

       1

      5:        40

      +         45

    6      :    25

The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6 in the morning.



Which function is graphed below?

Answers

Answer:

The answer is f(x) = -sin(x) as you can see in the graph below

Step-by-step explanation:

Hi how to solve this simultaneous equation

Answers

Answer:

[tex]\large \boxed{\sf \ \ x=\pm8 \ \ or \ \ x=\pm2 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

First of all, we can assume that x and y are different from 0, as we cannot divide by 0.

And from the first equation we can write y as a function of x as below.

[tex]y=\dfrac{16}{x}[/tex]

And then, we replace it in the second equation to get.

[tex]\dfrac{x}{\frac{16}{x}}+\dfrac{\frac{16}{x}}{x}=\dfrac{17}{4}\\\\<=> \dfrac{x^2}{16}+\dfrac{16}{x^2}=\dfrac{17}{4}\\\\\text{*** We multiply by }16x^2 \text{ both sides ***}\\\\x^4+16*16=\dfrac{17*16}{4}x^2\\\\x^4-68x^2+3600=0\\\\\text{*** The product of the zeroes is 3600 = 64*4 and the sum is 64+4=68 ***}\\\\\text{*** So we can factorise *** }\\\\x^4-64x^2-4x^2+3600=x^2(x^2-64)-4(x^2-64)=(x^2-64)(x^2-4)=0\\\\x^2=64=8^2 \ \ or \ \ x^2=4\\\\x=\pm8 \ \ or \ \ x=\pm2\\[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

An exponential growth function has a base that is____one?
Please help

Answers

Answer:

greater than

Step-by-step explanation:

An exponential growth function has a base that is__greater than__one.

If the base is less than one, it will be a decay function.

Note: the above assumes an exponent greater than one as well.

Select all that apply. If x^2+b/ax+c/a=0 ; then: The sum of its roots = -b/a? The difference of its roots =-b/a? The product of its roots = c/a?The division of its roots = c/a? I can select multiple.

Answers

Answer:

             The first and the third

Step-by-step explanation:

[tex]x^2+\frac bax+\frac ca=0\\\\ ax^2+bx+c=0\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\qquad\quad x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x_1+x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}+\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\dfrac{-2b}{2a}=\dfrac{-b}a\\\\\\x_1\cdot x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\cdot\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\\\\{}\ \ =\dfrac{b^2-b\sqrt{b^2-4ac}+b\sqrt{b^2-4ac}-(\sqrt{b^2-4ac})^2}{2a}=\dfrac{b^2-(b^2-4ac)}{4a^2}=\\\\{}\ \ =\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{4ac}{4a^2}=\dfrac{c}{a}[/tex]

[tex]x_1-x_2=\frac{-b-\sqrt{b^2-4ac}}{2a}-\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-2\sqrt{b^2-4ac}}{2a}=\frac{-\sqrt{b^2-4ac}}{a}\\\\\\x_1\div x_2=\frac{-b-\sqrt{b^2-4ac}}{2a}\div\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-b-\sqrt{b^2-4ac}}{2a}\,\cdot\,\frac{2a}{-b+\sqrt{b^2-4ac}}=\\\\=\frac{-b-\sqrt{b^2-4ac}}{-b+\sqrt{b^2-4ac}}=\frac{b+\sqrt{b^2-4ac}}{b-\sqrt{b^2-4ac}}=\frac{b^2+2\sqrt{b^2-4ac}+b^2-4ac}{b^2-b^2+4ac}=\frac{2b^2+2\sqrt{b^2-4ac}-4ac}{4ac}=[/tex]

[tex]=\frac{b^2+\sqrt{b^2-4ac}-2ac}{2ac}[/tex]

HELP!! PLEASEE!

The graph f(x)=e^x-1+5 is shown below. g(x) is a transformation of f(x). How would you write the equation for the function g(x)?

Answers

Answer:

A

Step-by-step explanation:

The blue graph, g(x), is shifted down 8 units.

So the answer is f(x)-8 which is A

Answer:  C. g(x) = eˣ⁻¹ - 3

Step-by-step explanation:

g(x) is a vertical shift 8 units down (-8) from f(x)

f(x) = eˣ⁻¹ + 5

g(x) = (eˣ⁻¹ + 5) - 8

      = eˣ⁻¹ - 3

What the correct answer now

Answers

Answer:

388.6 yd²

Step-by-step explanation:

the missing angle in triangle is 180 - 32 - 38 = 110

Law of sines: 31/sin 38 = VT/sin 32

VT = 26.68

area = 1/2ab sinC

A = 1/2 (31)(26.68) sin 110

388.6 yd²

Please answer ASAP. A baseball is hit upward from a platform that is m high at an initial speed of 29m/s. The approximate height of the baseball, h meters, after x seconds is given by the equation: h - 1= -5x^2 + 29x a) determine the time period for which the baseball is higher than 18m. Give the answer to the nearest tenth of a second. Explain your strategy. b) What are the restrictions on the domain and range of the related function?

Answers

Answer:

a) about 0.7 seconds to 5.1 seconds.

b) Listed below.

Step-by-step explanation:

h - 1 = -5x^2 + 29x

h = -5x^2 + 29x + 1

a) We will find the amount of time it takes to get to 18 meters.

18 = -5x^2 + 29x + 1

-5x^2 + 29x + 1 = 18

-5x^2 + 29x - 17 = 0

We will then use the quadratic formula to find the answer.

[please ignore the A-hat; that is a bug]

[tex]\frac{-29±\sqrt{29^2 - 4 * -5 * -17} }{2 * -5}[/tex]

= [tex]\frac{-29±\sqrt{841 - 340} }{-10}[/tex]

= [tex]\frac{-29±\sqrt{501} }{-10}[/tex]

= [tex]\frac{-29 ± 22.38302929}{-10}[/tex]

= [tex]\frac{-6.616970714}{-10}[/tex] and [tex]\frac{-51.38302929}{-10}[/tex]

= 0.6616970714 and 5.138302929

So, the time period for which the baseball is higher than 18 metres ranges from about 0.7 seconds to 5.1 seconds.

b) Restrictions on the domain and range of the function are that the domain and range can never be negative, since time cannot be negative, and height cannot be negative. The height cannot exceed the vertex of the parabola, since that is the highest the ball will ever go. It cannot exceed that height since gravity will cause the ball to fall down.

Hope this helps!

Find the value of each trigonometric ratio.

Answers

SOH CAH TOA

Sin = opp/hyp

Cos = adj/hyp

Tan = opp/adj

7) 21/35 or 3/5

8) 21/20

9) 30/50 or 3/5

10) 40/50 or 4/5

Answer:

[tex]{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

[tex]sin \theta = \frac{opposite}{hypotenuse}[/tex]

[tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex]

[tex]tan \theta = \frac{opposite }{adjacent }[/tex]

[tex]sinX=\frac{21}{35}[/tex]

[tex]tanX=\frac{21}{20}[/tex]

[tex]sinC=\frac{30}{50}[/tex]

[tex]cosC=\frac{40}{50}[/tex]


Help please! Thanks

Answers

Answer:

E. 0

Step-by-step explanation:

There isn't any guarantee that there are any people that have their birthdays in the same month based on what you're given, so your answer would be 0.

The local ice cream shop offers 3 different types of cones and 15 different flavors of ice cream. How many possible ice cream cones (one scoop) can a customer order? a 40 b 18 c 45 d 35

Answers

Answer:

45

Step-by-step explanation:

There are 3 cones and 15 flavors

Multiply the number of cones by the number of flavors

3*15

45

There are 45 possible combinations

WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!! Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.

Answers

Answer:

A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand.

Step-by-step explanation:

Answer:

WHEN U GRAPH WITH A CALCULATOR  IT IS MUCH MORE ACCURATE

ESPECIALLY IF THERE R FRACTIONS AND DECIMALS AND THE GRAPHING CALCULATOR GOES ON FOREVER WHERE AS THE GRAPHING PAPER  ENDS

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

          ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                         PEACE!

This is probably pretty easy, I could solve all the other ones but I got stuck on this one.

Answers

Answer:

78

Step-by-step explanation:

Let x be the score on the next test

We are averaging 6 tests and want an average of 75

( 82+91+38+78+83+x) /6 = 75

Multiply each side by 6

( 82+91+38+78+83+x) = 75*6

( 82+91+38+78+83+x)  =450

Combine like terms

x+372 = 450

Subtract 372 from each side

x+372-372 = 450-372

x =78

two bags and four hats cost $100 in all. three bags and seven hats cost $164 in all. what is the cost of 1 hat?

Answers

Answer:

Bags = 22

Hat = 14

22 x 2 = 44

14 x 4 = 56

So the first part is true

3 x 22 = 66

7 x 14 = 98

So the second part is true

14 is the answer

It's trial and error

Step-by-step explanation:

Other Questions
Which is NOT true of xenia as it pertains both to the Greek culture and to The Odyssey? Failure to show xenia, both within the book and within Greek culture, was believed to incur the wrath of Zeus. Xenia involves a reciprocal guest/host relationship of hospitality. Odysseus violated the code of xenia when he was a guest of Polythemus. It is based on obligation, not on friendship. all of the above Mi padre_____el contrato despus de leerlo bien.incluyarrendoenlazfirm What part of an hour passes between 3:16 P.M. and 3:34 P.M.? Which is an example of rising action in the metamorphosis A population of values has a normal distribution with = 47.2 and = 22.8 . You intend to draw a random sample of size n = 176 . Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is greater than 45.1. Windy Inc. is considering expanding on some land that it currently owns. The initial cost of the land was $300,000 and it is currently valued at $251,900. The company has some unused equipment that it currently owns valued at $30,000 that could be used for this project if $15,000 is spent for equipment modifications. What is the amount of the initial cash flow for this expansion project If an astronomer wants to find and identify as many stars as possible in a star cluster that has recently formed near the surface of a giant molecular cloud (such as the Trapezium cluster in the Orion Nebula), what instrument would be best for her to use please help attachment Please help asap! I dont really understand Demographics help explain the latest kowtowing to teen tastes the teen population has grown twice as fast the overall population in the last decade theyre also easier to reach than Ever via the Internet the biggest marketing boon sent the bulk mill rate this surge teen power wont last forever the so-called echo boom in upswing in births as baby boomers have children of their own faded in the middle Historians believe the armies of the Islamic caliphates met less resistance because they:only claimed territories when the people overthrew their own governments.allowed conquered peoples to practice their own religions.adopted the language and religion of each new territory.had a larger number of soldiers than any other territory in the world. "If the top two companies in the golf club industry merged, their new market share would equal 15% of the market. This industry's new HHI would be 995. According to the FTC's historical guidelines for mergers, would the FTC approve this merger Solve 2(3x+6)=3(x-9) 2p-3=3p+2 2(3x-1)-7(5x+4)=9(2x-3) A container is filled with fluid 1, and the apparent depth of the fluid is 9.00 cm. The container is next filled with fluid 2, and the apparent depth of this fluid is 6.86 cm. If the index of refraction of the first fluid is 1.37, what is the index of refraction of the second fluid Consider the reaction below.NH4 + H20 - NH3 + H30"Which is an acid-conjugate base pair?O NHA and NH3O NH4" and H30*O H20 and NH3O H20 and H20" Which statement about tensile stress is true? A. Forces that act perpendicular to the surface and pull an object apart exert a tensile stress on the object. B. Forces that act perpendicular to the surface and squeeze an object exert a tensile stress on the object. C. Forces that act parallel to the surface exert a tensile stress on the object. D. Forces that decrease the length of the material exert a tensile stress on the object. (02.05 HC)A scientist observed a certain type of a particular bacteria growing in a substance that had a 1,000 times higher amount of the antibiotic that targets this bacteria. Using completesentences, justify the observation based on your knowledge of natural selection Which of the following themes would likely have been the focus of the Beatliterature produced in the late 1950s?A. The benefits of capitalism over other economic philosophiesB. The necessity of strong religious belief in a turbulent societyC. The power of communication technology to bring people togetherD. The struggle for individual identity in a mass consumerist society Vhat organization was the biggest opponent to enlightened ideas?PhilosophesPeasantryChurchWritersPLEASe HELP ASAP The Atlantic Company sells a product for $150 per unit. The variable cost is $60 per unit, and fixed costs are $270,000. What is the break-even point in sales units?_____________________________________ What is the break-even points in sales units if the company desires a target profit of $36,000?