Please help
calculate the coefficient of x^14y^4 in the expansion of (x+y)^18

Answers

Answer 1
..................(1x+14y)4

Related Questions

Write an ordered pair for the point

Answers

Answer:

(0, 1)

Step-by-step explanation:

The point lies on the line x = 0.

The point lies on the line y = 1.

Where both lines intersect, that is the coordinate.

(x, y)

(0, 1)

The tables below show the number of flowers sold for Mother's Day the week before Mother's Day at two florists. Flower Power Day Number of Flowers Sunday 25 Monday 45 Tuesday 33 Wednesday 15 Thursday 47 Friday 37 Saturday 54Rose in the Hand Day Number of Flowers Sunday 18 Monday 27
Tuesday 55
Wednesday 64
Thursday 56
Friday 25
Saturday 50
What is the difference between the median number of flowers sold at each florist?
A. 49
B. 13
C. 25
D. 7

Answers

Answer:

B. 13

Step-by-step explanation:

Flower Power Day Number of Flowers median = 37

Rose in the Hand Day Number of Flowers median = 50

50 - 37 = 13

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?

Answers

Answer:

The length of AB is 6

Step-by-step explanation:

Graph the question out.

Count from A to B

compare -5/6 _ -3/7 choose from 1) > 2)

Answers

Answer

1)<2) please put 5 stars

Step-by-step explanation

First you need to find the GCF of the donominators which are 6 and 7. The GCF is 42.

6*x=42. x=7 5*7=35. -35/42 is the first fraction.

7*y=42 y=6 3*6=18. -18/42 is the second fraction.

-35/42 would be bigger but since it is negative, it is smaller.

Answer:

1)<2)

Step-by-step explanation:

An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. The executive then boarded the helicopter and flew to the corporate offices at an average speed of 78 mph. The entire distance from his home to the office was 169.5 if the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work

Answers

Answer:

I not understand

Step-by-step explanation:

what it this

Haha I think u gotta ask your teacher

I dont understand how they got that awnser​

Answers

Answer:

its quite simple...

the formula to find volume= width x height x length ( or area x length)

Step-by-step explanation:

of A

width =5 cm  height= 9cm

of B

width= 3height= 2

length of whole prism= 4

Volume (A)= w x h x l

                 =  5 x 9 x 4

                = 180 cm³

volume (B)= w x h x l

                = 3 x 2 x 4

                = 24 cm³

add both values to get the volume of whole prism = 180 + 24

                                                                                    = 204 cm³

Because this is a complex shape it had to be broken down into simpler shapes in order for you to calculate the area of the individual shapes, once you’ve done that you can add all the areas together and then multiply it by the lengh (4cm) in order to find its volume.
I hope this helped

Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat? Give an exact answer (do not round).

Answers

Answer:

3.04 m²

Step-by-step explanation:

Surface Area =0.8x0.4 = 0.32 (two of these - one on each end)

1x0.4=0.4 (two of these - top and bottom) (Strange to cover bottom with screen, but have to follow the directions.)

1x0.8=0.8 (two of these - front and back)

TOTAL = 0.32+0.32+0.4+0.4+0.8+0.8=3.04

Total amount of screen that Alice will need for her habitat is 3.04 meter square

What is Surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given,

Dimensions of the Caterpillar habitat is,

Width w=1 meter

Length l= 0.4 meter

Height h= 0.8 meter

Surface area = 2lw+2lh+2hw

=2×0.4×1+2×0.4×0.8+2×0.8×1

=0.8+0.64+1.6

=3.04 meter square

Hence, Total amount of screen that Alice will need for her habitat is 3.04 meter square

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solve and answer the following prism

Answers

Answer:

1st) Surface Area = 178.7 cm²

Volume = 105 cm³

2nd) Surface Area = 51 m²

Volume = 15 m³

Step-by-step explanation:

1st) 1/2x2.5x7=8.75 (2 of these - one on each end)

7x12=42

12x2.5=30

12x7.433=89.20

S.A=8.75+8.75+42+30+89.2=178.7

Volume=8.75x12=105

2nd) 1/2x3x2=3 (two of these - one on each end)

5x4=20

5x3=15

5x2=10

S.A.=3+3+20+15+10=51

Volume = 3x5=15

Image attached: geometry

Answers

The formula for an area of a rectangle is L times W. So divide 144 by 16 and you get the width, which is 9. The ratios of rectangle A is 16:9. The ratios of rectangle B is 4:x. 16 divide by 4 is 4, so 9 divide by 4 is 9/4 or 2.25.

What conclusion can you make from the information below?
Three cousins (Donna, Marilyn, and Valr) have three different favorite types
of music (classical, pop, and hip-hop).
• Donna does not like classical.
• Valr does not like classical.

Answers

Answer:

Marilyn likes classical

Donna and Valr likes either pop or hiphop

if a person were to. begin exercise regularly, would his or her metabolism increase or decrease? what effect might this have on his or her body? ​

Answers

Answer:

increase

Step-by-step explanation:

The rate at which you burn calories is called your metabolic rate. During exercise, you not only increase metabolism in your muscles but also in your respiratory and circulatory systems. You need a faster rate of breathing and heart rate to deliver oxygen and nutrients to your muscles.

How do you solve this type of problem, what would be the procedure? Assume PQRS is a parallelogram, if PQ=x2−10 and SR=3x , find all possible values of x.

Answers

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Given

Shape: Parallelogram PQRS

[tex]PQ = x^2 - 10[/tex]

[tex]SR = 3x[/tex]

Required

Find all possible values of x

Every parallelogram have parallel and equal opposite sides;

From the given parameters, one can easily deduce that PQ and SR are opposite sides;

This implies that

[tex]PQ = SR[/tex]

Substitute values of PQ and SR

[tex]x^2 - 10 = 3x[/tex]

Subtract 3x from both sides

[tex]x^2 - 10 -3x = 3x - 3x[/tex]

[tex]x^2 - 10 -3x = 0[/tex]

Rearrange

[tex]x^2 -3x- 10 = 0[/tex]

Now, we have a quadratic equation;

Expand the above expression

[tex]x^2 +2x-5x- 10 = 0[/tex]

Factorize

[tex]x(x+2)-5(x+2) = 0[/tex]

[tex](x-5)(x+2) = 0[/tex]

[tex]x - 5 = 0[/tex]   or    [tex]x + 2 = 0[/tex]

Solve for x in both cases

[tex]x = 5[/tex] or [tex]x = -2[/tex]

But x can't be negative;

So, the possible value of x is

[tex]x = 5[/tex]

The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number and the equation

Answers

Answer:

The number is 32.

The equation is 32 - 9 = 23.

Explanation:

The original number is 32, but when you subtract 9, the number changes to 23. So the digits reversed.

The required number is 32 and the equation is 10x+y.

The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. To Find the number and the equation


What is arithmetic?

In mathematics it deals with numbers of operations according to the statements.

Let the number at unit place is y and at tenth place is x so the number is
=10x+y
Now sum of the number is 5
x + y =5    -------(1)
When 9 is subtracted from the number, the digits will be reversed.
10x+y-9=10y+x
9x-9y=9
x-y=1    ------(2)

Solving equation 1 and 2
y = 2
x = 3
the number 10(3)+2 = 32

Thus, The required number is 32.the equation is 10x+y.

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A
Andrea has a $25 gift card
to a art store. She buys four
canvases that are each the same
price. If she now has $2.20 on
her gift card,
what was the price of
each canvas?
Equation:
Solution:​

Answers

Answer:

$5.70

Step-by-step explanation:

First we have to find out how much she spent. SO we do 25-2.20 which is 22.80. Then we have to divide by 4 since she buys four canvases that are the same price. SO 22.80/4=$5.70

Answer: 5.70

Step-by-step explanation:

Gift card = 25

Canvases = x

Since Andrea is buying four canvases, we can say that it is 4x.

Remaining balance = 2.20

Let's set up our equation. To set it up, we can write it like this

4x+2.20= 25

Now, subtract 2.20 on each side

4x = 22.8

Now divide, and you get around 5.70

So, each canvas was $5.70

If y varies inversely with x and y= 17
when z = 11
when y = 11
find y when x=19
.

Answers

where’s your z? incomplete question

Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. 23 and 44

Answers

Answer:

21 < x < 67 answer

Range is between 21 and 67 where 21 and 67 are not included in the range.

Step-by-step explanation:

we will use the concept of triangle

1. sum of two sides of triangles is always greater than the third side

2. difference of trow sides of triangle  is always less than the third side.

Given two sides

23 and 44

let the third side b x

using first concept

sum of to sides = 23+44 = 67

thus,

x <67

using second concept

Difference of to sides = 44 - 23 = 21

thus,

x  > 21

Combining

x <67 and x  > 21

21 < x < 67 answer

Range is between 21 and 67 where 21 and 67 are not included in the range.

Which of the following is equivalent to log34

Answers

hope it helps u...

plz mark as brainliest...

what is the nth term of this sequence 7, 9, 11, 13

Answers

Answer:

The nth term of the sequence is

5 + 2n

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 7

d = 9 - 7 = 2 or 11 - 9 = 2

So the nth term for the sequence is

A(n) = 7 + ( n - 1)2

= 7 + 2n - 2

A(n) = 5 + 2n

Hope this helps you

2n+5 I think this is a answer

Solve: M = 7a + 5ab for a.
Select one:
a. M ( 7 + 5b )
b. M/ ( 7 + Fb)
c. M/ ( 7 - 5b)
d. M(7 - 5b)
algebra 1 really need help

Answers

Answer:r

Step-by-step explanation:

On isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.

What is the isolation of a variable in an equation?

The isolation of a variable is a process to take one variable on one side of the equation and everything else on the other side. This is done following a set of mathematical operations.

How to solve the question?

In the question, we are asked to solve for a, from the given equation:

M = 7a + 5ab.

To solve for a, we will isolate 'a' on one side of the equation, and on the other side, we will have the value of 'a'.

To isolate 'a', we will follow these steps:

M = 7a + 5ab

or, M = a(7 + 5b) ... (Taking a common between 7a and 5ab)

or, a(7 + 5b) = M ... (Changing the sides)

or, {a(7 + 5b)}/(7 + 5b) = M/(7 + 5b) ... (Dividing both sides by (7 + 5b))

or, a = M/(7 + 5b) ... (Simplifying)

Thus, on isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.

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Try it
y
5
U12.4)
4.
3. Show that the included angles, ZJ and V. are
congruent right angles.
y2-yi
Slope =
*2-X1
The slope of WU is
The slope of VU is
Therefore, U is
3
K(-6,2)
2
V
(52)
H(-3,0)
1W (0, 1)
15 -4 -2 -1 1 2.
3
4 5
-21
J (-5, -3)

Answers

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

slope of WU = (4 - 1)/(2 - 0) = 3/2

slope of VU = (2 - 4)/(5 - 2) = -2/3

product of the slopes: 3/2 * (-2/3) = -1

The slopes of WU and VU are negative reciprocals since their product is -1.

Therefore, <U is a right angle.

The slopes of WU and VU are negative reciprocals since their product is -1 Therefore, angle U is a right angle.

What is the slope of a line which passes through points ( p,q) and (x,y)?

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope of WU = (4 - 1)/(2 - 0) = 3/2

The slope of VU = (2 - 4)/(5 - 2) = -2/3

The product of the slopes: 3/2 * (-2/3) = -1

Thus, The slopes of WU and VU are negative reciprocals since their product is -1.

Therefore, angle U is a right angle.

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PLEASE HELPPPP Wilson is thinking about buying a house for $249,000. The table below shows the projected value of two different houses for three years. Number of years 1 2 3 House 1 (value in dollars) 253,980 259,059.60 264,240.79 House 2 (value in dollars) 256,000 263,000 270,000 Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points) Part C: Wilson wants to purchase a house that would have the greatest value in 45 years. Will there be any significant difference in the value of either house after 45 years? Explain your answer, and show the value of each house after 45 years. (4 points) (10 points)

Answers

Part A

House 1: we make exponential can be used to describe the

value of house 1. After 1 year, 253480 = 249000 x 1.02

After 2 years, 259059.6 = 25398×1.02. After 3 years 264240.79 =259059.60x1.02.

House 1: we make linear. 256000=249000 + 1000.263000 = 256000 +7000.270000=263000 + 1000.

Part B.

House 1: f(x)=249000 1.02x [genometic sequence]

House 2: f(X) = 24900 + 1000x [arithmetic progression]

Part C

House 1: f(45)=249000×1.02 45 = 607025.697

House 2: f(45) = 249000 +7000x45 = 564000

"House 1 is an arithmetic sequence that increases in price each year while House 2 is an arithmetic sequence that only increases by 1000 per year.

What are word problems in mathematics?

In computational mathematics, a word problem is a problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.

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Help need ASAP please!

Answers

Answer:

I ANSWERED FIRST QUESTION

4A= 31.25X

4B=16      

CUZ 500/31.25=16

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

           ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                          PEACE!

Answer:

4a : $31.25 [tex]*[/tex] x, 4b : 15 calculators

Question 5 ( 1 ) : [tex]\frac{1}{2}[/tex]( 4 )( [tex]\frac{2}{3}[/tex]J ), Question 5 ( 2 ) : { Kiran ⇒ 28 chips, Mai ⇒ 112 chips, Tyler ⇒ 56 chips }

Step-by-step explanation:

4a. If a school paid $31.25 per calculator, n number of calculators would signify a total cost of $31.25 [tex]*[/tex] n. Similarly if the school bought x number of calculators they paid a total of $31.25 [tex]*[/tex] x.

4b. We know that the school paid $31.25 per calculator, and that they spent $500. To determine the count of calculators we can create an equation that represents the relationship between the total cost, and the number of calculators.

$500 =  $31.25 [tex]*[/tex] x, where x = number of calculators,

x = ( About ) 15 calculators

The exact value was 15.87...but as the number of calculators is a whole number ( you can't have part of a calculator ) our solution had to be rounded down to the nearest whole value. After all, we can't have 16 calculators if there are only " 15.87 " present.

Question 5.

1 ) Kiran won 2 / 3rds as many chips as Jada, so we can say K = [tex]\frac{2}{3}[/tex]J. Similarly Mai won 4 times as many chips as Kiran ( M = 4K ) and Tyler won half as many chips as Mai ( T = [tex]\frac{1}{2}[/tex]M ). Tyler won half as many chips as Mai, but Mai already won 4 times as many chips as Kiran, who in turn won 2 / 3rd as many chips as Jada. Therefore we can substitute each of the expression into one another,

K = [tex]\frac{2}{3}[/tex]J ⇒ M = 4K ⇒ T = [tex]\frac{1}{2}[/tex]M,

M = 4(  [tex]\frac{2}{3}[/tex]J ) ⇒ T = [tex]\frac{1}{2}[/tex]M,

T =  [tex]\frac{1}{2}[/tex]( 4 )( [tex]\frac{2}{3}[/tex]J ) - this is our expression.

2 ) If Jada won 42 chips, we can calculate the number of chips everyone has, knowing that they each are related by a common expression,

Kiran = [tex]\frac{2}{3}[/tex]J = [tex]\frac{2}{3}[/tex]( 42 ) = 28 chips,

Mai = 4(  [tex]\frac{2}{3}[/tex]J ) = 4( 28 ) = 112 chips,

Tyler = [tex]\frac{1}{2}[/tex]M = [tex]\frac{1}{2}[/tex]( 112 ) = 56 chips

{ Kiran ⇒ 28 chips, Mai ⇒ 112 chips, Tyler ⇒ 56 chips }

which expressions are equivalent to 252 check all that apply

Answers

Answer:

answer is5th one

Step-by-step explanation:

5th one is the answers...its equal to the expression given

I think maybe the 5th choice, I’m not to sure

You buy boxes of strawberries at the market. Each box cost $6. Write an equation for the number of dollars, d, you spend on b boxes. Yesterday, you purchased 2 boxes. Today you purchase 5 boxes. Place points on the graph to show your purchases yesterday and today.

Answers

Answer:

Heyyyy... Your ans!

Plz follow. Me..

Step-by-step explanation:

Answer:

Your answer is d=6b

Step-by-step explanation:

The box plot shows the amount money that you spend each month on new clothes.
What is the median amount spent?

Answers

Answer:

80

Step-by-step explanation:

The median is the middle line of the box plot

Answer:

def 80

Step-by-step explanation:

Select the correct answer from each drop-down menu. In the figure, angle D measures 31° and angle A measures 27°. The measurement of angle B is °. The measurement of angle F is °.

Answers

Answer:

∠B = 63°, ∠F = 59°

Step-by-step explanation:

Given that  angle D measures 31° and angle A measures 27°.

From the diagram attached, ∠ E = 90°, ∠G = 90°.

Also ∠C + ∠G = 180° (sum of angles on a straight line)

∠C + 90 = 180

∠C = 180 - 90 = 90°

To find the measure of ∠B and ∠F, we use the triangles ABC and DEF, remember that the sum of all interior angles of a triangle is 180°. In triangle ABC:

∠A + ∠B + ∠C = 180° (angles in a triangle).

27 + ∠B + 90 = 180

∠B + 117 = 180

∠B = 180 - 117

∠B = 63°

Also in triangle DEF:

∠D + ∠E + ∠F = 180° (angles in a triangle).

31 + 90 + ∠F = 180

∠F + 121 = 180

∠F = 180 - 121

∠F = 59°

Point P has coordinates P(-2, 4). What are the coordinates of the image P'' after I translate point P: 4 units to the right 2 units down and then 1 unit to the left and 5 up? 1. The x-coordinate of P'' is: 2.The y-coordinate of P'' is:

Answers

Answer:

  P''(1, 7)

Step-by-step explanation:

4 units right and 1 left will add a net of +3 to the x-coordinate.

2 down and 5 up will add a net of +3 to the y-coordinate.

The coordinates of P with 3 added to each are ...

  P'' = P(-2, 4) +(3, 3) = P''(1, 7)

Can any one help with this assssap please thanks!!

Answers

Answer:

8,12,16

Step-by-step explanation:

if the pattern is increasing by four's then the next three numbers would be

8,12,16

8 , 12 , 16
The pattern increases by four so 8 , 12 , 16
Are next

Diane runs 10 miles in 55 minutes, how many minuets does she take per mile?

Answers

Step-by-step explanation:

Hi!!

It's simple, you can do it easily.

no. of miles = 10 miles

time = 55 mins.

now,

no. of mins for 1 mile = no. of miles/ time

= 10 /55

=0.18181818 min.

so, she takes 0.181818 or 2/11 min per each mile.

Hope it helps...

10/55 equal to 0.18 minute per miles

For what values of a the following expressions are true: |a−5|=5−a

Answers

Answer:

Whenever  [tex]a\leq 5[/tex].

Step-by-step explanation:

We can play around with some numbers and develop some rules for this equation.

Note that the number 5 and -5 are used here, so let's try using 5 as a.

[tex]|5-5| = 5-5\\|0| = 0\\0 = 0[/tex]

So 5 works. Let's try a random number like 3.

[tex]|3-5| = 5-3\\|-2| = 2\\2 = 2[/tex]

Okay, with this info we know that we might be able to develop one rule that [tex]a<5[/tex]. Just to test, let's try 0, -3, and -5.

[tex]|0-5| = 5-0\\|-5| = 5\\5 = 5[/tex]

Zero works.

[tex]|-3 - 5| = 5-(-3)\\|-8| = 8\\8 = 8[/tex]

-3 works.

[tex]|-5 -5| = 5-(-5)\\|-10| = 10\\10 = 10[/tex]

-5 works. Now, this might stop here making the equation [tex]-5 \geq a \leq 5[/tex], so let's test a number outside of -5 - say -20.

[tex]|-20 - 5| = 5-(-20)\\|-25| = 25\\25 = 25[/tex]

Yes! This works, so a works for this equation as long as [tex]a \leq 5[/tex].

Hope this helped!

It’s 0 I think but I am not sure I might be wrong but oh well
Other Questions
symptoms of fatigue, heads ache, joint pain, indigestion, insomnia, dizziness, respiratory disorders and memory difficulties are known as what type of illness? Need help trying to figure out You are bearish on Telecom and decide to sell short 100 shares at the current market price of $50 per share. a. How much in cash or securities must you put into your brokerage account if the broker's initial margin requirement is 50% of the value of the short position? please help i really don't understand how to do this question plz *PSYCHOLOGY*What type of languages attaches prefixes or suffixes to denote different meanings to words? A. isolating languages B. amalgamating languages C. inflexional languages D. agglutinating languages Lewis needed to find the difference in lengths between the hypotenuse and the longest leg of this triangle. His work is shown below.What errors did Lewis make? Check all that apply.He simplified incorrectly. It should be 20 instead of 200.He found the difference between the hypotenuse and the short leg instead of the long leg.He evaluated incorrectly. It should be .He evaluated incorrectly. It should be .He should not have taken the square root of each side to get rid of the exponent. Please answer this in two minutes FIRST GETS BRAINLLEST A unicycle wheel has a diameter of 30 inches. How many inches will the unicycle travel in 6 revolutions? Use = 3.14 and round your answer to the nearest hundredth of an inch. What solid figure has five faces and five vertices? rectangular prism cone triangular prism square pyramid A ladder placed against a vertical wall subtends an angle of 45 degree with the wall. The distance between the foot of the ladder and the wall is 15m, calculate the length of the ladder, correct to the nearest whole number. On April 30, Victor Services had an Accounts Receivable balance of $37,800. During the month of May, total credits to Accounts Receivable were $73,600 from customer payments. The May 31 Accounts Receivable balance was $31,000. What was the amount of credit sales during May? Easyyyyy plz ...................Permanent hardness of water is caused by dissolved :- A) CaClB) Ca(HCO3)2C) Mg(HCO3)2D) NaOH Select all the sentences that can be represented by the equation 25+p=38 A.25 is more than 38 is p B.25 times as much as p is 38 C.38 is p more than 25 The nurse has a prescription to infuse 1000 mL of 5% dextrose in lactated Ringer's solution at 80 mL per hour. The nurse time-tapes the intravenous (IV) bag with a start time of 0900. After making hourly marks on the time-tape, the nurse should note which completion time for the bag? Diners frequently add a 15% tip when charging a meal to a credit card. What is the price of the meal without the tip if the amount charged is $ Serratia marcescens bacteria has a gene that regulates red pigment production by cells. A student inoculates two nutrient agar plates of Serratia and incubates one at 250C and the other at 370C. Following incubation, the student observes that colonies on the 250C plate are red while those on the 370C plate are nonpigmented.Which of the following statements is a logical conclusion based on these results? A. Low temperatures cause repression of certain housekeeping genes.B. Serratia cells undergo a genotypic change that is proportional to changes in temperature.C. This is an example of constitutive gene expression.D. Serratia genes for pigment production are induced at certain temperatures. 27. The area of a square plot is 0.0324 hectares. It was fenced using 3strands of wire. What was the total length of wire used?O A 72O 8.144 mO comO 0.216 Please answer this in two minutes A recently published research study looked at 3000 people over a period of 15 years and determined that those people who ate fast food two or more times per week had gained an average of 10 pounds more than the group who ate fast food less than twice a week. a) Would the 3000 people constitute a census or a sample? b) Was the data qualitative or quantitative?