What is the frequency of the function f(x)? f(x)=3cos(πx)−2 Express the answer in fraction form

Answers

Answer 1

Answer:

  1/2

Step-by-step explanation:

You want to know the frequency of the function f(x) = 3cos(πx) -2.

Frequency

For frequency f, the basic function (before vertical scaling or translation) will be written ...

  f(x) = cos(2πfx)

That is, we can find the frequency by comparing the arguments of the cosine function:

  πx = 2πfx

  f = (πx)/(2πx) = 1/2

The frequency of the function is 1/2.

__

Additional comment

You will notice in the attached graph that there is 1/2 period in 1 horizontal unit. A full period takes 2 horizontal units, so the frequency is ...

  (1 period)/(2 units) = 1/2 periods/unit.

<95141404393>

What Is The Frequency Of The Function F(x)? F(x)=3cos(x)2 Express The Answer In Fraction Form

Related Questions

Find the perimeter of a circle with radius 35 cm
[tex](take \pi = 22 7 \div 7[/tex]

Answers

Answer:

[tex]here \: is \: your \: solution... \\ \\ radius \: of \: circle = 35 \: cm \\ \\ perimeter \:of \: circle = \pi \: r {}^{2} \\ \\ perimeter \: of \: circle = (22 \div 7)35 \times 35 \\ \\ perimeter \: of \: circle = 3846.5 \: cm \\ \\ \huge\mathfrak\purple{hope \: it \: helps...}[/tex]

Answer:

Index or vertex are 77 so context and factors are already divided each 5..so i think radio and centimeter are 45/95 take ADF from fraction and multiplyit!! as a exactly answer!! and perimeter are revolved!!

Step-by-step explanation:

HOPE IT HELPS!!

If a sample mean is 32, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
A. (32, 42)
B. (30.38)
C. (34 42)
O D. (28.36)

Answers

Answer:

Step-by-step explanation:

It is D, I did this quiz once

Solve problems about dilations and write about solution methods. On a coordinate plane, point B is at (1, negative 1). Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3? (1, –1) (3, –3) (–2, 2) (–6, 6)

Answers

Answer:

B' = (3, -3)

Step-by-step explanation:

If the coordinate (a,b) is dilated by a factor of k, the resulting coordinate will be ()ka, ka)

Given the coordinate (1, -1). When dilated by a factor of 3, the resulting coordinate will be;

B' = 3B

B' = 3(1, -1)

B' = (3(1), 3(-1))

B' = (3, -3)

Find the following expression

Answers

Answer:

40/30

Step-by-step explanation:

[tex] \tan(c) = \frac{40}{30} = \frac{4}{3} [/tex]

(NO LINKKKKKKKKKKS)


Pls help me if your good at math I’ll mark brainliest if correct <3333

Answers

Answer:

I think its C

Step-by-step explanation:

If x = 34, y = 53, and the measure
of AC = 4 units, what is the difference in length between
segments AB and AD? Round your answer to
the nearest
hundredth.

A- 0.74
B- 1.17
C- 1.64
D- 2.14

Answers

9514 1404 393

Answer:

  D  2.14

Step-by-step explanation:

The lengths of interest are the hypotenuses of the respective triangles. We are given the angle and the opposite side, so the sine relation is of interest.

  Sin = Opposite/Hypotenuse

  sin(34°) = AC/AB   ⇒   AB = AC/sin(34°)

  sin(53°) = AC/AD   ⇒   AD = AC/sin(53°)

The desired difference in lengths is ...

  AB -AD = AC(1/sin(34°) -1/sin(53°)) = 4(1.78829 -1.25214) ≈ 2.1446

The difference in lengths is about 2.14 units.

Questions:
1. What did you do to the numerators? What did you do too to the denominators?
2. Did you find like terms among the collected terms of the numerator? What did you do
to terms?
3. What factoring techniques did you apply?
4. How did you simplify your sum?​

Answers

The answers to all the subparts are shown:

(1) The numerator is simply added. The denominator is copied.

(2) Yes, it has; yet, we include them since that is what needs to be done.

What is numerator and denominator?

In a fraction, the number above the line is the numerator.

For instance, the numerator of the fraction 3/5 is 3.

A fraction's numerator displays the number of pieces that make up the whole while the denominator, or a number of equal parts, is displayed below the line.

So, we have the equation:

2x² + x/2x - 2 + x - 4/ 2x - 2

Now, answering questions taking the above-given equation into consideration:

(1) The numerator is simply added. The denominator is copied.

(2) Yes, it has; yet, we include them since that is what needs to be done.

(3) We complete the square, but we can also use the straightforward factoring approach.

(4)  We eliminate or simply cancel the factors in the numerator that are also present in the denominator to simplify the sum.


Therefore, the answer to all the subparts are shown:

(1) The numerator is simply added. The denominator is copied.

(2) Yes, it has; yet, we include them since that is what needs to be done.

Know more about numerators and denominators here:

https://brainly.com/question/20712359

#SPJ4

The width of this rectangle is measured as 19.4mm correct to 1 decimal place.
b) What is the
lower bound for the area of the rectangle?

Answers

Answer:

reducing 9.35  to  19.44  is rounded to 19.4  

Step-by-step explanation:

9.35  to  19.44  is rounded to 19.4  

19.35  = 19.4

19.36  = 19.4

19.37 = 19.4

19.38 = 19.4

19.39 = 19.4

19.40 = 19.4

19.41  = 19.4

19.42 = 19.4

19.43 = 19.4

19.44 = 19.4

Hence Lower bound of   of the rectangle  = 19.35 mm

You have just received your first paycheck of $4,400 from your new job. You visit the dealership with your friend in search of a car. You see a a used car for $4000. The manager tell you that he will give you a discount of 50 percent. When you get home, your parents tell you that they will pay 50 % of the remaining balance.

You are excited when your friend tell you that you will get the car for "free". You will not have to pay any of your own money for the car?

Answer the questions below by showing your work for each question. Answer must be in full sentence.

a) Is your friend correct in assuming that you will not have to pay any of your own money for the car? Why or why not. Proof it.

b) How much if any of your own money will you have to pay for the car?

Skip to navigation
Pls answer my question on a page pls because the files don't work on this computer

Answers

He is not correct. You buy a car for 4,000. You get a 50% which leaves you to owe 2,000. Parents say they will pay 50% of remaking balance and that will leave you owing 1,000.

Factor Completely 4q^6+8q^3

Answers

Answer:

4[tex]q^{3}[/tex]( q³ + 2)

Step-by-step explanation:

4[tex]q^{6}[/tex] + 8q³ ← factor out 4q³ from each term

= 4q³ (q³ + 2)

Answer:

4q^3(q^3 + 2)

Step-by-step explanation:

The GCF of the exponents is 3, and the GCF of the bases is 4q. So divide both numbers by 4q ^ 3 and get

4q ^ 6 / 4q ^ 3 = q ^ 3

8q ^ 3 / 4q ^ 3 = 2

so you get

4q^3 (q ^ 3 + 2)

A botanist uses the representations below to show the heights in inches, h, of different plants over a period of time, t.


Plant A
Time in weeks, t
60
80
100
120
Height in inches, h
90
120
150
180


Plant B
h = StartFraction 4 t Over 3 EndFraction



A graph has time (in weeks) on the x-axis and height (in inches) on the y-axis. A line goes through points (50, 150) and (120, 360).

If the growth patterns continue, how much taller is the tallest plant than the shortest plant at 120 weeks of growth?
180 inches
200 inches
270 inches
280 inches

Answers

Answer:

B- 200

Step-by-step explanation:

ye ye

URGENT
Use technology or a z-score table to answer the question.

The amount spent by customers at a grocery store is normally distributed with a mean of $144.05 and a standard deviation of $34.52.

Approximately what percent of customers at the grocery store spend more than $200?


5.3%

8.2%

91.8%

94.7%

Answers

Answer:

5.3%

Step-by-step explanation:

The first step is to find the z score corresponding to $200.

[tex]z=\frac{x-\mu}{\sigma}\\\\z=\frac{200-144.05}{34.52}\approx 1.62[/tex]

The next step is to find the area under the standard normal curve to the right of z = 1.62.  Some graphing calculators can do this, and there are tables that will help, although many of those show areas to the left of a particular z-score.

Calculator (TI-83/84)

See the attached image.

The command uses 1 x 10^99 as "positive infinity" and calculates the area under the normal curve from 1.62 all the way to the right.

Table

See attached table.  This table shows areas to the left of a certain z-score.

Find the entry for 1.62 (it's on page 2 highlighted with a red box).  The table says the area to the left of 1.62 is 0.9474.

But the area under the entire curve is 1!

This important fact means that the area to the right of z = 1.62 is 1 - 0.9474 = 0.0536, about 5.3%

(To get the area to the right of z, subtract the area to the left of z from 1.)

How do you reflect over Y =- 4?

Answers

C w it saying 20 characters lon

Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that their highlighters could write continuously for 14 hours. The researcher tested 40 highlighters and recorded the number of continuous hours each highlighter wrote before dying. Test the hypothesis that the highlighters wrote for less than 14 continuous hours. X = 13.6 hours, s = 1.3 hours. Report the test statistic, p-value, null hypothesis, conclusion and round to nearest thousandth.

Answers

Answer:

The null hypothesis is [tex]H_0: \mu = 14[/tex]

The alternate hypothesis is [tex]H_a: \mu < 14[/tex]

The test statistic is t = -1.95.

The p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the  highlighters wrote for less than 14 continuous hours.

Step-by-step explanation:

Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that their highlighters could write continuously for 14 hours.

At the null hypothesis, we test if the mean is 14 hours, that is:

[tex]H_0: \mu = 14[/tex]

At the alternate hypothesis, we test if the mean is less than 14 hours, that is:

[tex]H_a: \mu < 14[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

14 is tested at the null hypothesis:

This means that [tex]\mu = 14[/tex]

X = 13.6 hours, s = 1.3 hours. Sample of 40:

In addition to the values of X and s given, we have that [tex]n = 40[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{13.6 - 14}{\frac{1.3}{\sqrt{40}}}[/tex]

[tex]t = -1.95[/tex]

The test statistic is t = -1.95.

P-value:

The p-value of the test is the probability of finding a sample mean lower than 13.6, which is a left tailed test, with t = -1.95 and 40 - 1 = 39 degrees of freedom.

Using a calculator, the p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the  highlighters wrote for less than 14 continuous hours.

8. Given the function h(x)=3^x,find the value of x such that h(x)=27
A. 1
B. 3
C. 2
D. 4​

Answers

Answer:

x=3

Step-by-step explanation:

3 cubed is 27

The answer is b mark me?

Select the correct answer

A geneticist needs to grow a stock of fruit flies for her experiments. She currently has a stock of 200 fruit flies and predicts the stock will grow by

38% each day. Which function could she use to calculate f(n), the number of days required for her stock to grow to n fruit flies?

200

A f(n) = 1081. 38

OB. F(n) = 1080. 88

OC f(n) = log1. 38(260)

OD. F(n) = logo. 38

198(260)

(200)

Reset

Next

Answers

For her research, a geneticist has to raise a stock of fruit flies. She presently has 200 fruit flies in stock;

The mathematical function she may use to calculate is given as

f(n)=log1.38(n/200)

Which function could she use to calculate, the number of days required for her stock to grow to n fruit flies?

Generally, the equation for the final value is mathematically given as

A=Ao(1+u)^t

Therefore

n=200(1+0.38)*t

log(1.38^t)=log(n/200)

t=log1.38(n/200)

In conclusion, The function she could use to calculate is

f(n)=log1.38(n/200)

Read more about function  

https://brainly.com/question/6561461

#SPJ4

Formulas can be manipulated to solve for missing information.
Ex: A = bh can be written as ? or ?

Answers

The formulas answer/ variable?

For each situation, make a tree diagram to show the sample space. Then give the total number of outcomes.
tossing a coin and choosing a consonant from the word ALGEBRA
a. 2
c. 6
b. 4
d. 8
HELP PLEASE

Answers

C.6
Hope this help you

Answer:

I would go with D, 8.

Step-by-step explanation:

Tossing a coin, but not saying heads or tails is accepting both (2 outcome branches)

There are 4 consonants in ALGEBRA (each of the two branches above have 4 outcomes that match)

2 x 4 = 8

I don't like how the question is written, because the "total number of outcomes" usually includes the ones you don't want, which would be 14. But since that's not an option, I would chose D.

the sum of the interior angle of a regular polygon is 1080
find the number of sides of the polygon​

Answers

Answer:

8 sides

Step-by-step explanation:

(n-2)×180=1080

180n-360=1080

180n=1080+360

180n=1440

n=1440/180

n=8 sides

it's an octagon

Answer:

It has 8 sides

Step-by-step explanation:

This is because the formula is 180(n-2) where n is the amount of sides. An octagon has 8 sides so the sum of the angles is 180(8-2)=180(6)=180×6=1080 degrees

Hope that helps :)

Can someone please answer // Find the central angle given that the measure of the arc is 200°

Answers

Answer:

The central angle of a circle is measured in either degrees or radians. It is measured with the help of length of the arc and length of the radius of the circle. The formula to measure central angle (in radians) = (Length of the arc)/(Length of the radius).

Step-by-step explanation:

hello please help i’ll give brainliest

Answers

When it was discovered, nobody knew how to read ancient Egyptian hieroglyphs. Because the inscriptions say the same thing in three different scripts, and scholars could still read Ancient Greek, the Rosetta Stone became a valuable key to deciphering the hieroglyphs!!

Answer:

number 3

Step-by-step explanation:

it helped us try to learn hieroglyphics

What is the perimeter?
Help plz....And no links!! I repeat No links!!!

Answers

Answer:

48 cm

Step-by-step explanation:

Answer:48 cm

Step-by-step explanation:

a^2+b^2=c^2

a^2+16^2=20^2

a^2+256=400

a^2= 144

a = 12

12+16+20=48

What would an 18% increase of 90 be?

Answers

Answer:

106.2

Step-by-step explanation:

A 18% increase of a number is the same as multiplying it by 1.18.

If we multiply 90 by 1.18 we get:

90 * 1.18

106.2

The increase would be 16.2 so....
106.20.

Find the derivative of the function.
F(x) =
x2 integral et7dt
x

Answers

The requried derivative of the given function is [tex]F'(x) = 2xe^{x^{14}} - e^{x^7}[/tex].

What is implicit differentiation?

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol

here,
Given expression,
[tex]F(x) = \int\limits^{x^2}_x {e^{t^7}} \, dx[/tex]

Following the Leibniz rule
[tex]F'(x) = \frac{d}{dx}[ \int\limits^{x^2}_x {e^{t^7}} \, dx]\\F'(x) = \int\limits^{x^2}_x \delta/\delta x (e^{t^7}) + (e^{(x^2)^7}) d/dx (x^2) - e^{x^7}d/dx [x] \\F'(x) = 0 + 2xe^{x^{14}} - e^{x^7}\\F'(x) = 2xe^{x^{14}} - e^{x^7}[/tex]

Thus, the requried derivative of the given function is [tex]F'(x) = 2xe^{x^{14}} - e^{x^7}[/tex].

Learn more about implicit differentiation; https://brainly.com/question/11887805
#SPJ1

Evaluate 21/a+4 when a=3

Answers

Answer:

11

Step-by-step explanation:

All you have to do is plug in a. In this case, a=3.

21/a+4

21/(3)+4

21/3+4

7+4

11

If this helps please mark as brainliest

Answer:

11

Step-by-step explanation:

Follow the order of operations, PEMDAS.

First, divide, then add. Plug in 3 for a in the given expression:

21/(3) + 4

Divide, then add:

(21/3) + 4

7 + 4 = 11

11 is your answer.

~

the swim team trains 4 days every week. Mon, Tues, and Thurs, the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. how many hours per week does the team train?

Answers

The number of hours that the team trians per week is 17 hours.

How to illustrate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since the the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. The number of hours will be:

( 1 1/4 + 1/2 + 2 1/2) × 4

= 4.25 × 4

= 17 hours.

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

You want to know the mean number of sick days taken by students in your county last year. At each of five schools you randomly survey ten students. Your results are shown. Use all five samples to make one estimate for the mean number sick days taken by students in your county last year.

A: 0, 1, 1, 3, 0, 3, 0, 2, 3, 4
B: 0, 0, 0, 5, 21, 6, 8, 1, 2, 4
C: 11, 8, 1, 1, 0, 0, 4, 4, 4, 6
D: 8, 0, 10, 8, 6, 7, 9, 2, 1, 1
E: 2, 4, 5, 0, 5, 0, 5, 4, 0, 20

___ Days?

Answers

Answer:

4

Step-by-step explanation:

Add each sample separately

A.17   B. 47   C. 39 D. 52 E. 45

Then you add them all together which totals 200 sick days

We know that they surveyed 5 schools and 10 students at random from each one. So we want to know the mean of sick days the students took not the schools in all.

So we divide 200/50

And get a mean of 4.

So each student took an average of 4 sick days each in the country.

Factor the expression completely.
x^4-17x^2+72

Answers

Answer:

It's neither:

x =√ 9.000 = 3.00000 or :

x =√ 9.000 = -3.00000 or :

x =√ 8.000 = 2.82843 or :

x =√ 8.000 = -2.82843

Four solutions

Answer:

x^4 - 17x^2 + 72 = (x^2 - 9)(x^2 - 8)

Step-by-step explanation:

First, we need to find two numbers that multiply to give us 72 and whose sum is -17. We can see that 8 and 9 multiply to give us 72, and their sum is 8 + 9 = 17. Since we want the sum to be negative, we need to change one of the signs. So we write -(8 + 9) = -17.

Next, we write the expression as the product of two binomials. We factor out the common factor x^2 from the first two terms: x^4 - 17x^2 + 72 = x^2(x^2 - 17) + 72

Now, we complete the square in the first binomial. To do this, we need to add and subtract (17/2)^2 = (8.5)^2 = 72.25 inside the bracket:

x^2(x^2 - 17) + 72 = x^2(x^2 - 17 + 72.25 - 72.25) + 72 = x^2(x^2 - 17 + 72.25) - 72.25 + 72

Now we can rewrite the square of a binomial :

x^2(x^2 - 17 + 72.25) = x^2((x-8.5)^2)

Finally, we can combine the two binomials

x^2((x-8.5)^2) + 72 = (x^2(x-8.5)^2) + 8(9)

So the expression x^4 - 17x^2 + 72 factors completely as (x^2 - 9)(x^2 - 8)

Hope this helps!


which expression is equivalent to

Answers

The provided expression can be simplified in the form 2y4/x4 option ( B) Using the integer exponent characteristics,  = [x[tex]^\frac{1}{8}[/tex] . y⁸]  is the right answer.

What is defined as an integer exponent?

In mathematics, integer exponents are exponents that fall under the integer category. It's possible for the number to be either positive or undesirable. The positive integer exponents in this example dictate how many times that base number must be multiplied by itself.

It's possible for the number to be either positive or undesirable. The positive integer exponents in this example dictate how many instances the base number must be multiplied by itself.

According to the given information:

= [x[tex]^\frac{1}{4}[/tex] . y¹⁶][tex]^\frac{1}{2}[/tex]

= [x[tex]^\frac{1}{8}[/tex] . y⁸]

The provided expression can be simplified in the form 2y4/x4 option ( B) Using the integer exponent characteristics,  = [x[tex]^\frac{1}{8}[/tex] . y⁸]  is the right answer.

To learn more about the integer exponent visit:

brainly.com/question/4533599

#SPJ1

4. The table gives the height and shoe sizes of six randomly selected men.
Height 67 70 73. 5 75 78 66

Shoe size 8. 5 9. 5 11 12 13 8 CO

a. What is the equation of line of best fit: 4= 42x-19. 81

b. What is the slope, and what does it mean in this problem?

C. What is the y intercept? What does it mean in this problem?

d. Using the equation of the line of best fit, if a man has a shoe size of 10. 5, what would be his predicted height?​

Answers

The predicted height if the man with shoe-size 10 is 427.09 cm.

We get the answers using the following steps.

a. The equation of the line of best fit is: y = 42x - 19.81

b. The slope, 42, represents the rate of change of the height variable with respect to the shoe size variable. It means that for every 1-unit increase in shoe size, we can expect a 42-unit increase in height.

c. The y-intercept, -19.81, is the point where the line of best fit crosses the y-axis. It represents the height when the shoe size is 0. It means that if a man has 0 shoe size, his height would be -19.81, both of which is impossible.

d. To predict the height of a man with a shoe size of 10.5, we substitute x = 10.5 into the equation of the line of best fit:

y = 42x - 19.81

y = 42(10.5) - 19.81

y = 447.9 - 19.81

y = 427.09

So, a man with a shoe size of 10.5 would have a predicted height of 427.09 cm

It's worth noting that this is just a predicted value and it might not be accurate. The line of best fit is calculated based on the given data set, it might not be accurate for other data points.

Read more about Straight lines:

https://brainly.com/question/27560536

#SPJ4

Other Questions
help !!!! a film student examines some of the major movies that were released in a particular year Es una division el cociente es 14, el divisor 19, calcule el dividiendo si se sabe que el residuo resut ser el maximo. 3. What is an aguinaldo? Can a right triangle with sides 6 and 8 cm and 10 cm be formed give reason? At what age does the "settling" process generally begin with regard to height?a) 35b) 45c) 55d) 65 1. Write the equation of the mirror line for the segment with endpoints (5, 4) and (-1, -1).2. Find the reflection of the point A(3, -2) through the mirror line of y = 1/2x 1. In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 12 times out of 15 attempts. Tasha has hit the ball 9 times out of 10 attempts. Which player has a ratio that means they have a better batting average?A:Tasha, because she has the lowest ratio since 0.9 > 0.8B:Tasha, because she has the highest ratio since 27 over 30 is greater than 24 over 30C:Jana, because she has the lowest ratio since 0.9 > 0.8D:Jana, because she has the highest ratio since 27 over 30 is greater than 24 over 30 Petrarch is known _____. Select all that apply.for his politically motivated literatureas the Father of Humanismas a pagan worshipperfor his sonnets Citizens who wanted fair treatment and new government systems started __________ in 2011. A. peace talks B. invasions C. protests D. wars Please select the best answer from the choices provided A B C D What happens in a market economy? Can you Help me to answer these questions, please?Grade 11 - Collection 4: The emancipation proclamation by Abraham Lincoln 1. Line 3-11:Where in the speech does Lincoln address his audiences expectations?2. Line 29-34: Explain the premise that Lincoln is developing in the second paragraph. identify specific points that help develop the premise.3. Lines 55-60: Restate Lincolns call to action in your own words. What is the purpose of the speech? Easton mixed 3/2kg of flour with 1/6 kg of sugar. Determine a reasonable estimate for the amount of flour and sugar combined from your reading of the essay and from the statement "life is ephemeral" define the word ephemeral What are the three factors of production needed to produce goods and services that the Industrial Revolution requires? during the game, a player flies above a ring and drops a ball through from a height of 20 m. f the ball takes 7.0 seconds to fall, find the acceleration due to graviit Determine the area of the figure on the coordinate grid. Round to the nearest hundredth if needed You have learned that the body's immune system fights against disease and illness. Sometimes, the immune system does not respond the way that it was intended. In autoimmune disorders, such as lupus, the immune systems cannot tell the difference between foreign substances and its own cells. Health officials estimate that over five million people have been diagnosed with lupus worldwide.OBJECTIVESLearn about lupus.Write a four-paragraph (400 word) report on what you have learned.DirectionsUse the library and other reference materials to research lupus. Then, write a 400 word report on what you have learned. Be sure to include symptoms, causes, and treatments. An art store manager buys easels for 10.20 each. He marks up the cost by 75% to get the selling price. What is the selling price of each easel su quarter moon, third quarter moon27. Tania drew the following diagram to represent the water cycle.AAOreLedTania wants to improve her diagram by adding labels to the arrows. What would be thebest label for arrow A?A. evaporationB. precipitationC. runoffD. transpiration students who join extracurricular groups on campous tend to find their attitudes regarding the grpoups purpose increase if they stay in the group