Solve all these math questions and brainliest is yours! First come first valid answer will be brainliest. Include the measurements like cm, ft, m, etc

Solve All These Math Questions And Brainliest Is Yours! First Come First Valid Answer Will Be Brainliest.

Answers

Answer 1

Answer:

Step-by-step explanation:

trapezoid

A=(B1+B2)/2*h

kite

A=(pq)/2

1)((3+5)/2)*4

(4/2)*4

2*4

8 cm^2

2)

(10*10)/2

100/2

50 cm^2

3)

(14*8)/2

112/2

56m^2

4)

((10+15)/2)*6

(25/2)*6

25*3

75in^2

5)

(14*16)/2

224/2

112 ft^2

6)

((24+13)/2)*9

(37/2)*9

18.5*9

166.5 mm^2

7)

((36+60)/2)*30

(96/2)*30

96*15

1440 in^2

8)

(12*12)/2

144/2

72cm^2

9)

28=(14*2x)/2

28=7x

x=4m

10)

((8+4)/2)*4

(12/2)*4

6*4

24 ft^2


Related Questions

For the graph, what is a reasonable constraint so that the function is at least 300?
(Graph Below)

A) x ≥ 0

B) −5 ≤ x ≤ 30

C) 0 ≤ x ≤ 25

D) All real numbers

Answers

Answer:

C) 0 ≤ x ≤ 25

Step-by-step explanation:

We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300

A)x ≥ 0

Refer the graph

At x = 0

f(x)=300

On increasing the value of x , f(x) increases but at x = 12 it starts decreasing

So, x ≥ 0 can also have f(x)<300

So, Option A is wrong

B)−5 ≤ x ≤ 30

At x = -5

f(x) = 100

So, Option B is wrong since we require f(x) is greater or equal to 300

c)0 ≤ x ≤ 25

At x = 0

f(x)=300

At x = 12 , it starts decreasing

At x = 25

f(x)=300

So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25

D)All real numbers

At x = 30

f(x)=0

But we require f(x) greater or equal to 300

Hence Option C is true

Answer:

C) 0 ≤ x ≤ 25

Its correct! Hope this helps :)

ANSWER ALL PLS NOW I NEED THIS ANSWERED

Answers

1. 6^2

2. -5^4

3. 3^3

4. -4^3

5. a^3

6. 1/2^6

7. Base is -12 expanded is -12x-12 exponent is 2 standard form is 144

8. Base is 1/2 and expanded is 1/2x1/2x1/2 exponent is 3 standard form is 1/8

9. Base is -9 expanded is -9x-9x-9 exponent is 3 and standard form is -729

10. 8x8x8x8

11. -3x-3

12. 8x8

13. -7x-7x-7x-7x-7

14. 7x7x7

15. 3/4x3/4x3/4x3/4x3/4

1) [tex]6^{2}[/tex]

2) [tex]-5^{4}[/tex]

3) [tex]3^{3}[/tex]

4)[tex]-4^{3}[/tex]

5)[tex]a^{3}[/tex]

6)[tex]2^{6}[/tex]

7) Base= -12 Exponent=2 Expanded= (-12)(-12) Standard Form= -144

8) Base= [tex]\frac{1}{2}[/tex] Exponent= 3 Expanded= ([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex]) Standard Form = [tex]\frac{1}{8}[/tex]

9) Base= -9 Exponent= 3 Expanded= (-9)(-9)(-9) Standard Form= -729

10) (8)(8)(8)(8)

11) (-3)(-3)

12) (8)8)

13)(-7)(-7)(-7)(-7)(-7)

14) (7)(7)(7)

15) ([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])

Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.
(-6,3), (-7, - 7)

Answers

Answer:

-10x + y = 63

Step-by-step explanation:

Let's find the slope of this line.  Going from (-7, -7) to (-6, 3), the "run" is +1 (this is the increase in x) and the "rise" is -10 (y increases by 10).  Thus, the slope, m, is m = rise / run = 10 / 1 = 10.

Using the point-slope version of the equation of a straight line, we get

y + 7 = 10(x + 7)

Performing the multiplication results in

y + 7 = 10x  + 70.

Rearranging these terms in the form Ax + By = C, we get:

-10x + y = 63

Check this by substituting -6 for x and 3 for y:

-10(-6) + 3 = 63     This is TRUE

ASAP Mario was given the following enlargement. Side A corresponds to a side with length 24 centimeters. A side with length 6 centimeters corresponds with a side with length 12 centimeters. Figures not drawn to scale. What is the length of side A, in centimeters? 12 15 24 33

Answers

Answer:

The length of side A is 12 cm

Step-by-step explanation:

This question is best answered when there's an attachment; however, the absence of an attachment doesn't mean it can't be solved.

Given

Side A corresponds to 24 cm

Length 6 cm corresponds to Length 12 cm

Required

Find A

The given parameters can be represented mathematically as;

[tex]\frac{A}{24} = \frac{6}{12}[/tex]

With this expression, the value of A can be easily solved

First; multiply both sides by 24

[tex]24 * \frac{A}{24} = \frac{6}{12} * 24[/tex]

[tex]\frac{24 *A}{24} = \frac{6}{12} * 24[/tex]

[tex]\frac{24A}{24} = \frac{6}{12} * 24[/tex]

[tex]A = \frac{6}{12} * 24[/tex]

[tex]A = \frac{6 * 24}{12}[/tex]

[tex]A = \frac{144}{12}[/tex]

[tex]A =12[/tex]

Hence, the length of side A is 12 cm

Answer:

ANSWER:A

Step-by-step explanation:

ANSWER IS A!SAVE YOURSELF! RUN! DON'T FAIL UR TEST!

byeeeeee:)

<3

Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?
A. x = 0
B. y = 0
C. x = 1
D. y = 1

Answers

Answer:

Option D

Step-by-step explanation:

A horizontal line has no slope. The equation 'y=1' graphs as a horizontal line. It passes (0,1). So, it touches the y-axis.

A line with an undefined slope does not touch the y-axis. It is vertical.

Option D should be the correct answer.

Help please! I appreciate all of you people helping me:))

Answers

Answer:

∠ b = 12°

Step-by-step explanation:

Complementary angles sum to 90°, thus

a + b = 90 ← substitute a = 78

78 + b = 90 ( subtract 78 from both sides )

b = 12

That is ∠ b = 12°

What is the surface area of a cylinder with base redius 2 and height 9

Answers

Answer:

[tex]138.23units^2[/tex]

Step-by-step explanation:

[tex]A=2\pi rh+2\pi r^2=2*\pi *2*9+2*\pi *2^2=138.23008\\138.23units^2[/tex]

Answer:

44pi

Step-by-step explanation:

Look at the attachment

What is the third quartile of this data set 14,18,20,21,25,32,42,46,48

Answers

Answer:

40

Step-by-step explanation:

Divide the list of numbers in half.

Since there are 9 numbers (odd number), divide like this :

14, 18, 20, 21      25       32, 42, 46, 48

Find the median of the third one. 

(46 + 42)/2 = 44

So the answer is 44

Hope this helped!

please mark me brainliest :)

Write the set of real numbers x less than 6 in set builder notation

Answers

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

x is a real numberx is less than 6

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation

ram is half his fathers age now. ten years ago he was one third his fathers age then what are their present ages

Answers

x   -  Ram's age now

Ram is half his father's age now, so his father's age is two times Ram's age:

2x  - Ram's father age now

x - 10   -  Ram's age ten years ago

2x - 10    - Ram's father age ten years ago

ten years ago he was one third his father's age so his father's age was three times Ram's age:

2x - 10 = 3•(x - 10)

2x - 10 = 3x - 30

-10 + 30 = 3x - 2x

20 = x

2x = 2•20 = 40

Answer:

Ram is 20 years old now, Ram's father is 40 years old now.

What is the solution for x in the equation? 4x − 3 + 5 = 2x + 7 − 8x

Answers

Answer:

4x+2= -6x+7

4x+6x=7-2

10x=5

x=1/2

Step-by-step explanation:

The answer is x=.5 you can download and use Photomath to scan the question and that will tell you how to do its step by step

WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 +i over 7 + i . First, multiply both the numerator and denominator by A. -3 + i B. -3 -i C. 7 + i D. 7-1 Hint: C is incorrect.

Answers

You have (-3 +i)/(7 + i) so you need to remove the i from the numerator, so you have to multiply by 7-i and you get

(-22 + 4i)/50 which can be simplified to

(-11 + 2i)/25

Answer:

Step-by-step explanation:

What you are trying to do in this question is get rid of the i in the denominator. To do that you must multiply top and bottom by the conjugate of 7 + i

The conjugate is 7 - i

D if correct if you just made a typo. Otherwise there is no answer.

( - 3 + i ) * (7 - i)

=============

(7 + i ) ( 7 - i)

( - 3 + i ) * (7 - i)

=============

49 - i^2

( - 3 + i ) * (7 - i)

=============

49 + 1

( - 3 + i ) * (7 - i)

=============

50

I'll let you work out the numerator. If you get (-2 + i)/5 you are correct.

WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK)

Answers

Answer: $47.83

Step-by-step explanation: Let's turn the percentage into a decimal, move the decimal two times to the right...

6% ⇒ 0.06

0.06 * $50.88 = $3.05

$50.88 - $3.05 = $47.83

Remember x = price before tax...

x = $47.83

10. A cliff on the seashore is eroding at the rate of 17 centimeters per year. Write and solve an equation to find the number of
years in which the cliff will erode 85 centimeters.

Answers

Answer:

The number of  years in which the cliff will erode 85 centimeters are:

5 years.

Step-by-step explanation:

To solve the question in the text, you must create a formula that includes the rate (17 centimeters per year) and a variable representing the time (t), how I show below:

f(t) = 17t

Where:

t = time in years

Remember that where are not symbols between two numbers o variables, it means you must multiply (17t actually is 17 * t). Now you only must replace t by years 1 per 1 until obtain the value of 85 (the eroding wanted):

f(1) = 17(1) = 17 f(2) = 17(2) = 34 f(3) = 17(3) = 51 f(4) = 17(4) = 68 f(5) = 17(5) = 85

How you can see, when the time is equal to 5, the f(t) or the eroding is 85, the value we wanted.

help me, please.........

Answers

Answer:

de for the second

Step-by-step explanation:

Answer:

Step-by-step explanation:

an  altitude   -  a ( forms with a line an angle of 90 degrees)

a perpendicular bisector-  c ( divide the line in 2 equal parts and it is perpendicular on  the line)

an angle bisector  - d ( divide the angle in 2 equal parts)

a median - b ( a segment between an angle and the middlepoint of the opposite line)

Given the speeds of each runner below, determine who runs the fastest.
Ron runs 8 feet per second.
Liz runs 104 feet in 7 seconds.
Katie runs 1 mile in 526 seconds.
Emily runs 835 feet in 1 minute.

Answers

Answer:

Liz

Step-by-step explanation:

lets make all speeds ft/1sec

Ron 8ft/1sec

Liz 104ft/7sec : 104/7=

14.8571428571 ft/1 sec

Katie

1 mile = 5280ft

5280ft/526sec

5280/526=

10.0380228137ft/1 sec

Emily,

1 min= 60 sec

835ft/60 sec

835/60=

13.9166666667 ft/sec

now, lets order from least to greatest

R:8ft/1sec, K:10.0380228137ft/1 sec,

E:13.9166666667 ft/sec, L:14.8571428571 ft/1 sec

Liz's speed is fastest

In the diagram, measure angle 3 = 120° and measure angle 12 = 80°. Which
angle measures are correct? Check all that apply
measure angle 1 = 60°
measure angle 13 = 80
measure angle 6 = 80°
measure angle 5 = 60°
measure angle 10 = 120
measure angle 14 = 100

Answers

Answer:

1, 13, 5 are correct

Step-by-step explanation:

Answer: A,B,D,F are correct

Step-by-step explanation:

Alison, the owner of a regional chain of pizza stores, is trying to decide whether to add calzones to the menu. She conducts a survey of 700 people in the region and asks whether they would order calzones if they were on the menu. 46 people responded “yes.” Create a 90% confidence interval for the proportion of people in the region who would order calzones if they were on the menu.Round your answer to four decimal places.

Answers

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 700

x = 46

p = 46/700 = 0.066

q = 1 - 0.066 = 0.934

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, the z score for a confidence level of 90% is 1.645

Therefore, the 90% confidence interval is

0.066 ± 1.645√(0.066)(0.934)/700

= 0.066 ± 0.0094

The lower limit of the confidence interval is

0.066 - 0.0094 = 0.0566

The upper limit of the confidence interval is

0.066 + 0.0094 = 0.0754

Answer:

(0.0503, 0.0811).

Step-by-step explanation:

The confidence interval for the unknown population proportion p is (p^−z⋆p^(1−p^)n−−−−−−−−√,p^−z⋆p^(1−p^)n−−−−−−−−√). The confidence interval can be calculated using Excel.

1. Identify α. Click on cell A1 and enter =1−0.90 and press ENTER.

2. Thus, α=0.1. Enter the number of successes, x=46, and sample size, n=700, in the Excel sheet in cells A2 and A3. To find the proportion of successes, p^, click on cell A4 and enter =A2/A3 and press ENTER.

3. Thus, p^≈0.0657. Use the NORM.S.INV function in Excel to find z⋆. Click on cell A5, enter =NORM.S.INV(1−A1/2), and press ENTER.

4. The answer for z⋆, rounded to two decimal places, is z⋆≈1.64. To calculate the standard error, p^(1−p^)n−−−−−−−−√, click on cell A6 and enter =SQRT(A4∗(1−A4)/A3) and press ENTER.

5. The answer for the standard error, rounded to four decimal places, is p^(1−p^)n−−−−−−−−√≈0.0094. To calculate the margin of error, z⋆p^(1−p^)n−−−−−−−−√, click on cell A7 and enter =A5*A6 and press ENTER.

6. The answer for the margin of error, rounded to four decimal places, is z⋆p^(1−p^)n−−−−−−−−√≈0.0154. The confidence interval for the population proportion has a lower limit of A4−A7=0.0503 and an upper limit of A4+A7=0.0811. Thus, the 90% confidence interval for the population proportion of people in the region who would order calzones if they were on the menu, based on this sample, is approximately (0.0503, 0.0811).

What is the domain of the function y = RootIndex 3 StartRoot x EndRoot?
Negative infinity less-than x less-than infinity
0 less-than x less-than infinity
0 less-than-or-equal-to x less-than infinity
1 less-than-or-equal-to x less-than infinity

Answers

Answer:

A

All real number which would be -infinity < x < infinity

The domain of the function is the set of all real numbers given by; Negative infinity less-than x less-than infinity.

What is the domain of the function?

According to the task content;

It follows that the function whose domain is to be defined is; y = ³√x.

Since, the domain of a function includes all possible values of its input variables (x in this case). It follows that the domain of the function in discuss is; all real number values. This follows from the fact that all the cube root of all real numbers can be evaluated.

Read more on domain;

https://brainly.com/question/2264373

#SPJ2

Mrs. Burgess, Mrs. Curry, Ms. Davis and Mrs.
Stowers went to lunch this weekend. The lunch
total was $81.20. How much does each person
owe if they split it evenly?

Answers

Answer:

$20.30

Step-by-step explanation:

There are 4 people so 81.20/4 = 20.30

Answer: $20.30

Step-by-step explanation:

There are 4 people and so you need to divide the cost by the amount of people to see what each person owes

2|x-7|=8 solve the equation​

Answers

Answer:

2x - 7 = 8

2x = 8 + 7

2x = 15 (divide both sides by 2 to get x)

2x/2 = 15/2

x = 7.5

Step-by-step explanation:

Answer:

11, 3

Step-by-step explanation:

Substitute 11

2|11-7|=8

2|4|=8

8=8

Substitute 3

2|3-7|=8

2|-4|=8

2x4=8

8=8

Answer please need help and is struggling

Answers

The answer is D (last one)



Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.




When Maya biked for 3 hours and then ran for 1 hour and 30 minutes, what was her average speed?

Answers

Answer:

6mph

Step-by-step explanation:

Speed = distance/time

so you would do 18/3 and you would get 6

Which of the following expressions can be factored by grouping? (Select all that apply.)

a^2 - 9 a + 7 ab + 63 b
3 a + 4 ab - b - 12
ab + 6 b - 2 a - 12
x^3 + 9 x^2 + 7 x + 63
ay^2 + a - y^2 - 1

Answers

Answer:

Options (3), (4) and (5)

Step-by-step explanation:

1). a² - 9a + 7ab + 63b

  = a(a - 9) + 7b(a + 9)

  Now we can not solve this problem further.

  Therefore, can't be factored by grouping.

2). 3a + 4ab - b - 12

   = a(3 + 4b) - 1(b - 12)

   We can't solve it further.

   Therefore, can't be factored by grouping.

3). ab + 6b - 2a - 12

   = b(a + 6) - 2(a + 6)

   = (b - 2)(a + 6)

  We can be factored this expression by grouping.

4). x³ + 9x²+ 7x + 63

   = x²(x + 9) + 7(x + 9)

   = (x² + 7)(x + 9)

   Therefore, the given expression can be factored by grouping.

5). ay² + a - y² - 1

  = a(y² + 1) - 1(y² + 1)

  = (a - 1)(y² + 1)

  This expression can be factored by the grouping method.

Options (3), (4) and (5) are the correct answers.

Stock Texas has a price of $156 per share when Bond Austin has a price of $23 per bond. Use an
equation modeling the inverse variation between the stock and bond prices to predict the price of
Stock Texas when Bond Austin is worth the following
$68.74​

Answers

Answer:

I think the answer would be $466.24.

Which set a rational numbers are ordered from least to greatest?

Wrong answers will be reported!!!!

Answers

Answer:

The answer to this is A

Step-by-step explanation:

hope it helped

Answer:

A

Step-by-step explanation:

tell me if im right

(25 pts) Between which consecutive years was the decrease in the price of gold per ounce the greatest?

1975-76
1973-74
1972-73
1974-75

Answers

Answer:

1975-76

Step-by-step explanation:

On this chart, the price of gold per ounce rises almost continuously, until it suddenly drops from the years 1975 to 76 by a margin of about 40 dollars. Therefore, this these are the years with the most decrease. Hope this helps!

1975-76 is the correct answer

Can someone help me on these two questions?

Answers

Answer:

1. 88 degrees

2. x=8

Step-by-step explanation:

1.

In a hexagon, all of the interior angles must add up to 720 degrees. Therefore:

x+125+120+95+120+172=720

x=88

2.

Since opposite sides of a parallelogram are equal:

2x=x+8

x=3x-16

Let's go with the first equation.

2x=x+8

Subtract x from both sides:

x=8

You can plug this into the second equation to ensure it works:

3(8)-16=8

24-16=8

8=8

Hope this helps!

Answer:

1. 88

2. 48

Step-by-step explanation:

1. The total of the inner angles of the hexagon is 720

95+120+120+172+125=632

720-632=88

2. 2x=x+8

x=8

If we put all the x's in place and add them, the result is: 48

Identify the graph of xy=-8 for theta=pi/4 and write and equation of the translated or rotated graph in general form.

Answers

Answer:THE ANSWER IS A

Step-by-step explanation:

CORRECT ON EDGE

Answer:

A

Step-by-step explanation:

edge

Bob Farted 3 times every 30 seconds how many time does Bob fart in 2 days?

Answers

The answer would be 17280

Answer:

he would fart 17280 times in 2 days

Step-by-step explanation:

Other Questions
Explain how technology has made transportation more efficient for countries to interact. Choose the correctly written sentence.At the age of nine, Don's father died of a cerebral hemorrhage.When he was only nine, Don's father died of a cerebral hemorrhage.When Don was nine, his father died of a cerebral hemorrhage.None of the above the line passing through point (2, 4), parallel to the line whose equation is y = x Question: Imagine that a family of three (Alice, Bill, and Charlie) areplaying a card game at home two nights in a row. The chance that any oneof them will win is 1/3. a.) Using A for Alice, B for Bill, and C for Charlie, whatare the outcomes for two consecutive nights of playing card. (Ex. AAmeans Alice won the first night and the 2nd night) * How did Muhammad Ali's actions challenge the "status quo" of mainstreamwhite America? Use at least one example from the text to support your answer. 29 40 40 40 40 41 51 56 62 63 whats the interquarile range The present value of a perpetuity paying 1 every two years with first payment due immediately is 7.21 at an annual effective rate of i. Another perpetuity paying R every three years with the first payment due at the beginning of year two has the same present value at an annual effective rate of i + 0.01.Calculate R. (A) 1.23 (B) 1.56 (C) 1.60 (D) 1.74 (E) 1.94 3. True of False: Comic relief was rarely used by Shakespeare, and only in his comedies.O trueO false Find the mean absolute deviation of {16, 19, 22, 27, 33, 19, 25}. 2 PointsWhat is the voltage of an electrolytic cell with copper and magnesiumelectrodes?A. -2.71 vB. 2.71 vC. 2.03 VD. -2.03 V I need help on this please help its geometry:,( An eagle is a predator for squirrels. A new law stops humans from huntingeagles, and the eagle population increases. What will happen to the squirrelpopulation?O A. The squirrel death rate will increase.B. The carrying capacity of the ecosystem will increase.C. The ecosystem will reach Hardy-Weinberg equilibrium.D. The squirrel population will increase. FALLING OF STONE FAST CHANGENATURAL DESIRABLE CHANGE NATURAL UNDESIRABLE CHANGE SLOW CHANGE What the French Revolution successful or unsuccessful and why? For financial reporting, Clinton Poultry Farms has used the declining-balance method of depreciation for conveyor equipment acquired at the beginning of 2018 for $3,250,000. Its useful life was estimated to be five years, with a $255,000 residual value. At the beginning of 2021, Clinton decides to change to the straight-line method. The effect of this change on depreciation for each year is as follows:Year Straight-Line Declining Balance Difference 2010 $ 400 $ 853 $ 453 2011 400 569 169 2012 400 379 (21) $ 1,200 $ 1,801 $ 601 Required:Prepare any 2013 journal entry related to the change. Which is the biggest disadvantage of using unipotent cells for medicaltreatments? To practice Problem-Solving Strategy 11.1 Equilibrium of a Rigid Body. A horizontal uniform bar of mass 2.7 kg and length 3.0 m is hung horizontally on two vertical strings. String 1 is attached to the end of the bar, and string 2 is attached a distance 0.6 m from the other end. A monkey of mass 1.35 kg walks from one end of the bar to the other. Find the tension T1 in string 1 at the moment that the monkey is halfway between the ends of the bar. Briefly discuss the cause of errors in the measurements Daniel deposits $300 into an account that earns 16% interest annually. Which equation can be used to model his account balance, y, after x years? Select the correct answer.A lichen is an organism that structurally appears to be a single organism. But a lichen is actually two different organismsa fungus and greenalgae-living together as one organism. The fungal partner derives its nutrition from the photosynthesizing algae. How does a lichen differ in itsphotosynthetic activity from Elysia chlorotica, the sea slug that's considered to be a photosynthesizing animal?CA In lichens, the fungi photosynthesize on their own, while Elysia chlorotica forms a relationship with a photosynthesizing plant.B. In lichens, the relationship with the algae lasts throughout the life cycle, but in Elysia chlorotica, the relationship occurs onlyduring the immature juvenile stage of the slugs life cycle.OC Lichens can photosynthesize only because of the living algal partner, while Elysia chlorotica incorporates chloroplasts fromalgae into its cells.D. In lichens, the association between the fungi and algae is permanent, while Elysia chlorotica associates with aphotosynthesizing organism only when it requires food.