Enter the letter of the graphed
function.
Plz help! And plz explain thx!!!

Enter The Letter Of The Graphedfunction.Plz Help! And Plz Explain Thx!!!

Answers

Answer 1

Answer:

Option a

Step-by-step explanation:

One way to solve part of this is to look at the values of y between each x intercept.

Our x intercepts (or when y=0) occur when x=-2, x=1, and x=3. We know this by looking at the graph.

First, we have the space when x is between -∞ and -2. This is negative on the graph, and as a result, there should be an odd number of negatives as an odd number of negative numbers multiplied by each other is negative.

For a, (x+2) is negative when x is between -∞ and -2, (x-1) is negative, and (x-3) is negative as well. So far, this works

For b, we have to count (x-3) twice because it is squared. (x+2) is negative, (x-1) is negative, and (x-3) is negative twice. This is 4 negatives, so it doesn't work. This implies that between x=-∞ and x=-2, y is positive, which isn't the case

For c, (x+2) is negative, (x-3) is negative, and (x-1) is positive twice, making it 4 negatives and letting us rule it out

For d, (x-1) is negative, (x-3) is negative, and (x+2) is negative twice, making it 4 negatives and letting use rule it out

For e, (x-1) is negative, (x-3) is negative, and (x+2) is negative 3 times, making it 5 negatives and letting us keep it

After our first set of checks, we can see that only a and e are possibilities. Because the only thing separating the two possibilities is (x+2)², which is always positive past x=-2, and multiplying a number by a positive keeps its sign (e.g -5 * 5 = -25, which is still negative), all other rounds of checks would result in the same answer.

Another way to figure it out is to take an example point. We can see on the graph that when x=0, y=6. We can test that in each of our two remaining possibilities.

For a, we have (0+2)(0-1)(0-3) = (2)(-1)(-3) = 6

For e, we have (0-1)(0-3)(0+2)³ =  (-1)(-3)(2)³ = (3)(8) = 24

Therefore, option a is the only one that fits, and is your answer

Answer 2

(x+2) is negative when x is between the interval [-∞ -2] (x-1) is negative, and (x-3) is negative as well. Option A is the only one that fits in the graph.

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

Our x-intercepts (or when y=0) occur when x=-2, x=1, and x=3. We know this by looking at the graph.

A. (x+2) is negative when x is between the interval [-∞ -2] (x-1) is negative, and (x-3) is negative as well.

B. (x+2) is negative, (x-1) is negative, and (x-3) is negative twice. This is 4 negatives, so it doesn't work. This implies that between x=-∞ and x=-2, y is positive, which isn't the case

C. (x+2) is negative, (x-3) is negative, and (x-1) is positive twice, making it 4 negatives and letting us rule it out

D. (x-1) is negative, (x-3) is negative, and (x+2) is negative twice, making it 4 negatives and letting us rule it out

E. (x-1) is negative, (x-3) is negative, and (x+2) is negative 3 times, making it 5 negatives and letting us keep it

We can see on the graph that when x=0, y=6. We can test that in each of our two remaining possibilities.

For a, we have (0+2)(0-1)(0-3)

       = (2)(-1)(-3) = 6

For e, we have (0-1)(0-3)(0+2)³

=  (-1)(-3)(2)³

= (3)(8) = 24

Therefore, option a is the only one that fits in the graph.

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Related Questions

an experiment consists of tossing a coin five times and observing and the sequence of heads and tails. find pr

Answers

Answer:

[tex]P(TTTTT) = \frac{1}{32}[/tex]

Step-by-step explanation:

Given

[tex]n = 5[/tex] --- toss

See comment for complete question

Required

[tex]P(TTTTT)[/tex]

First, we calculate the number of possible outcomes

A coin has 2 faces; Since the coin is to be tossed 5 times;

[tex]Outcome = 2^5[/tex]

[tex]Outcome = 32[/tex]

There is only one outcome of TTTTT;

So:

[tex]P(TTTTT) = \frac{1}{32}[/tex]

A 42 gallon hot water tank hose 350 pounds of water what weight of water at 53 gallon tank hold

Answers

Answer:

441.66667 pounds

Step-by-step explanation:

divide 350/42 then multiply the quotient by 53

2 2/3 +2 2/3 + 2 2/3 +2 2/3

Answers

Answer:

10.6666666667 is your answer

just round this to the nearest tenth

9514 1404 393

Answer:

  10 2/3

Step-by-step explanation:

Multiplication works nicely on problems involving repeated addition:

  2 2/3 +2 2/3 + 2 2/3 +2 2/3 = 4 × (2 2/3) = 4×2 +4×2/3 = 8 +8/3

  = 8 + 2 2/3 = 10 2/3

Use all the six numerals 4, 5, 6, 7, 8 and 9 to form two 3-digit even numbers whose sum is smallest, and what is the sum? ​

Answers

Step-by-step explanation:

this Is hard to find.............

Answer:

The numbers should be even, it means the unit digits are 4, 6 or 8.

The numbers should be minimal, it means the hundred's digits are 4 and 5.

With this we have possible numbers:

4x6 and 5y8, here 6 and 8 could be exchanged.

The options are:

496 and 578 or476 and 598 or498 and 576 or478 and 596

The sum of the two numbers is:

1074

Si una vara 2,15 mts de longitud da una sombra de 6,45 mts

Answers

Answer:

he casted 4.3. away

Step-by-step explanation:

MFP15017010 2021 Question 2 2.1 Calculate the following 2- and 3-digit numbers using strategic doubling: 34 2.1.2 340 2.13 277 214 00 (10) 2.15 500

Answers

Answer:

plz check ur school solution down.

Step-by-step explanation:

A sales firm receives an average of three calls per hour on its toll-free number. For any given hour, find the probability that it will receive at least three calls. Use the Poisson distribution.

Answers

Answer:

At most 3 calls: 64.7%

At least 3 calls: 57.7%

5 or more calls: 18.5%

Step-by-step explanation:

With the help of scientists, farmers in the United Kingdom have been able to produce more and more grain per hectare each year. Here are the crop yields for several years:

Assuming that this trend continues, what crop yield is predicted for the year 2020 by the model? Round your answer to the nearest whole number. You must find the linear regression equation first.

A. 8,603 kg/ha
B. 8,232 kg/ha
C. 9,447 kg/ha
D. 7,382 kg/ha

Answers

it’s c :) have a good day

Crop yield prediction in year 2020 is 9,447 kg/ha

What is linear regression ?

Linear regression is an analytic statistical approach for predicting the relationships between an independent variable that determines the values of of or more dependent variables.

From the data given in the question

Equation of a straight line is y = a + bx

∑y = an + b∑x

∑xy = a∑x +b∑x²

The values are calculated in the table given below

 X                y              x=X-1985             x²                    xy

1961          3090               -24                 576              -74160

1968         4040                -17                 289              -68680

1987          5830                 2                   4                   11660

1992         5680                 7                   49                 39760

2001         7630                16                  256               122080

2004         8020               19                  361                152380

   _                _                   _                     _                      _

∑x =11913   ∑y=34290    ∑x=3            ∑x²=1535       ∑xy=183040

Substituting the values

6a + 3b = 34290

3a + 1535b = 183040

solving the two by suitable elimination

6a + 3b = 34290

3(2a+b) = 3×11430

2a + b = 11430....(i)

and 3a + 1535b=183040....(ii)

a=173620/3067 = 5660.91

Putting a=5660.91 in (i)

2(5660.91) + b = 11430

b = 108.81

∴ a = 5660.91 and b = 108.81

Now substituting the values in the equation y=a+bx

y = 5660.91 + 108.81x

y = 5660.91 + 108.81(X-1985)

∴In 2020

y =5660.91 +108.81(2020 - 1985)

y = 9447.245

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Resolve into factors. px + qx + py + qy (algebra). ​

Answers

Answer:

(p+q)(x+y)

HOPE IT HELPS YOU.....

Step-by-step explanation:

we want to factor the following expression

[tex] \displaystyle px + qx + py + qy[/tex]

to do so group px's and qy's

[tex] \displaystyle px + py + qx + qy[/tex]

factor out p:

[tex] \displaystyle p(x + y ) + qx + qy[/tex]

factor out "q":

[tex] \displaystyle p(x + y ) + q(x + y)[/tex]

group:

[tex]\boxed{ \displaystyle( p+ q)(x + y)}[/tex]

What is the length of PO

Answers

These are similar triangles, therefore their sides are proportional.

36 / 24 = PO / 36

24PO = 1296

PO = 54

Hope this helps!

y=5/3x + 3 in ordered pairs

Answers

These are three possible solutions to the equation. (
0
,

3
)
,
(
1
,

4
3
)
,
(
2
,
1
3
)

Answer:

(3,8) ; (-3,-2) ; (6,13)

Step-by-step explanation:

A linear equation in Slope Intercept Form is given to us and we need to write the ordered pairs for x and y . The given equation is ,

[tex]\rm\implies y =\dfrac{5}{3}x + 3 [/tex]

For finding the ordered pairs , substitute different values of x to get different values of y.

Put x = 3 :-

[tex]\rm\implies y =\dfrac{5}{3}\times 3 + 3 [/tex]

[tex]\rm\implies y = 5+ 3 [/tex]

[tex]\rm\implies y =8[/tex]

Put x = -3 :-

[tex]\rm\implies y =\dfrac{5}{3}\times -3 + 3 [/tex]

[tex]\rm\implies y = -5+ 3 [/tex]

[tex]\rm\implies y =-2[/tex]

Put x =6 :-

[tex]\rm\implies y =\dfrac{5}{3}\times 6 + 3 [/tex]

[tex]\rm\implies y = 10+ 3 [/tex]

[tex]\rm\implies y =13[/tex]

Therefore ,

[tex]\small\implies\boxed{\rm\blue{ Odered \ Pairs \ = (3,8) ; (-3,-2) ; (6,13) }}[/tex]

PLEASE HELP ME IM HAVING TROUBLE WITH IT

Answers

Answer:

True

False

Step-by-step explanation:

BC are on the same line so, the new [tex]B^{1}[/tex][tex]C^{1}[/tex] will also be on the same. Just a different line than the original. The both move the same distance when dilated.

CD and the new [tex]C^{1}[/tex][tex]D^{1}[/tex] cannot be the same length. The dilation will increase their length by 1[tex]\frac{2}{3}[/tex]

In a sample of 56 bags of fertilizer, the average weight was found to be 17.2lb with a standard deviation of 0.7. Give a point estimate for the population standard deviation of the weight of the bags of fertilizer.

Answers

Answer:

???????????????????????

Surface roughness of pipe. Refer to the Anti-corrosion Methods and Materials (Vol. 50, 2003) study of the sur- face roughness of coated interior pipe used in oil fields, Exercise 7.26 (p. 311). The data (in micrometers) for 20 sampled pipe sections are reproduced in the table on p. 391.
a. Give the null and alternative hypotheses for testing whether the mean surface roughness of coated interior pipe, H, differs from 2 micrometers.
b. The results of the test, part a, are shown in the MINITAB printout at the bottom of the page. Locate the test statistic and p-value on the printout.

Answers

The minitab report isn't given.

Answer:

H0 : μ = 2 um

H1 : μ ≠ 2 um

Step-by-step explanation:

The mean surface roughness of coated interior pipe is given as 2um.

This refers to the population mean, μ = 2 um

Therefore, the null hypothesis which usually aligns with the population mean value will be stated as :

H0 : μ = 2 um

The alternative hypothesis is used to test the claim that the mean surface roughness is different from 2 ; hence no direction is given, this is thus a 2 - tailed test

H1 : μ ≠ 2 um

!!!HELPPP PLEASE ASAP!!! I don’t know how to solve this problem nor where to start? Can some please help me out and explain how you got the answer please. Thank you for your time.

Answers

Step-by-step explanation:

a)

0.00000000007

b)

0.00000001

HELP HELP HELP HELP PLEASE

Answers

Answer:

It is indeed 63

Step-by-step explanation:

The easy way to go about this is to recognize that if the triangles are similar, the ratio between the similar sides will be the same.

Notice:

4/5 = 36/45

So:

4/7 should = 36/x

If:

4/7 = 36/x

4x/7 = 36

4x = 36*7

x=36*7/4

x=63

Please help!

Solve for x

Answers

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The product of lengths to the two circle intercepts are the same for each secant.

  7(7+9) = (8x)(8x+6x)

  112 = 112x² . . . simplify

  1 = x² . . . . . . divide by 112

  x = 1 . . . . . . . take the square root (segment lengths are positive)

Convert 0.181818 … to a fraction by writing the repeating decimal as an infinite geometric series. Show all of your work (please)

Answers

0.181818… = 18 (0.010101…)

… = 18 (0.01 + 0.0001 + 0.000001 + …)

… = 18 (1/100 + 1/100² + 1/100³ + …)

… = 18 (1 + 1/100 + 1/100² + 1/100³ + …) - 18

Then you have

[tex]0.181818\ldots = \displaystyle18\sum_{k=0}^\infty\frac1{100^k} - 18 = \frac{18}{1-\frac1{100}} - 18 = \boxed{\frac2{11}}[/tex]

find all the missing measurement​

Answers

Answer:

find all the missing measurement

Area: Change in Dimensions
A rectangle FGHJ has a width of 3 inches and a length of 7 inches.

Answers

Step-by-step explanation:

this is not complicated at all. first and second graders can do a-c (come on, you know how to calculate the area of a rectangle) and with some imagination also d and e.

this is meant for you to actually do it so that you get a feeling for these things.

I will therefore leave the pure calculation to you.

and I will give you some help for the conceptual/ theoretical part.

the area of a rectangle is, of course, length × width (or height some on the view you have on an object).

let's just call them l and w.

so the regular area is

Ar = l×w

now one dimension (or example and for the width, but it does not matter, it is the same for the length) is doubled.

it simply means the new width is twice the old width.

so the area with a double width is

A2w = l×(2×w) = 2×(l×w)

so, that means also the area is doubled compared to the regular area.

now, both dimensions are doubled.

A2w2l = (2×l)×(2×w) = 4×(l×w)

so, the area grew 4 times a large as the regular area.

what is the rule here ?

let's triple the dimensions.

A3w3l = (3×l)×(3×w) = 9×(l×w)

as you can easily see : the new area grows with the square of the scaling factor, when we change both dimensions equally.

the reason is simple - as our little equations show, we have to multiply in the scaling factor of every dimension in play.

therefore, the new area grows with the product of the scaling factors of the involved dimensions. if both scaling factors are the same, then the area grows therefore by the square of the common factor.

and this principle applies to every shape, where the area is constructed out of 2 dimensions. any other additional multiplication factors don't matter for this, because this is all one big multiplication of several factors, and if you multiply one of these factors by an additional factor, the whole result changes by that factor.

I am need help and an explanation on how to read these graphs.

Answers

Answer:

A is the answer

Step-by-step explanation:

A

plz mark it brainlist

Find the area of the shaded regions.
QUICKLY PLEASE

Answers

Answer:

the answer is 270° on this

Answer:

84.78

Step-by-step explanation:

Area of a circle is pi(radius)^2

In this case it would be (pi(radius)^2)270/360 since it's 3/4 of a circle.

So we replace the values and solve:

3.14(36)(270/360)= 84.78 square centimeters.

Figure out the pattern, and write the next number.
2,6,21,88

Answers

Answer:
a5=445

Explanation:
a of n=(a+1)*n
a1=2
I found the pattern to add 1 to the previous number and then multiply it by its number in the sequence. Apologies for the terrible format of my recursive formula.
Proof of pattern:
(2+1)*2=6
(6+1)*3=21
(21+1)*4=88
a5=(88+1)*5=445

Which phrase best describes a theorem in an axiomatic system?
A.
the accepted meaning of a term
B.
an assumption made with little supporting evidence
C.
an accepted fact that cannot be proven
D.
a statement proven to be true using logic
E.
a list of geometric facts

Answers

The answer is to the question is D

Answer:

hope it's help you (: for your answer

Find Y. round to the nearest tenth.

Answers

9514 1404 393

Answer:

  32.7°

Step-by-step explanation:

Solve the given equation for C, then fill in the given values and evaluate.

  C = arccos((a² +b² -c²)/(2ab))

  Y = arccos((50² +90² -55²)/(2·50·90)) = arccos(7575/9000) ≈ 32.7°

__

Y is angle A in the attached triangle solver.

in order to apply the law of cosines to find the length of the side of a triangle, is it enough to know which of the following?


A. The area of a triangle

B. The lengths of two of the triangle's sides and the measure of the angle between them

C. At least two of the angles of the triangle and the length of one of its sides

Answers

9514 1404 393

Answer:

  B. The lengths of two of the triangle's sides and the measure of the angle between them

Step-by-step explanation:

The usual formulation of the law of cosines is something like this:

  c² = a² +b² -2ab·cos(C)

where 'c' is the side opposite angle C, and 'a' and 'b' are the other two sides. That is, to use this formula directly, one needs two side lengths and the measure of the included angle.

_____

Additional comment

One can use the law of cosines to solve a triangle when any two sides and one angle are known. The use of the formula will give a quadratic in the unknown side length, if it is not the side opposite the known angle. As with the law of sines, if the angle is opposite the shorter of the two given sides, there may be two solutions for the length of the third side.

Answer:

The answer is B.)

Step-by-step explanation:

A certain drug carn be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 94% of patients taking the drug are healed within B weeks. In clinical trials, 228 of 240 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer's claim at the a=0.05 level of significance. Click here to view the standard nomal distribution table (page 1). Cick here to view the standard nomal distribution table (page 2). Because rea (1-Po) =| satistied. (Pound to one decimal place as needed.) V 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis

Answers

According to the manufacturer's claim, we build an hypothesis test, find the test statistic and the p-value relative to this test statistic, reaching a conclusion that:

The p-value of the test is 0.2578 > 0.05, which means that there is not sufficient evidence to conclude that more than 94% of patients taking the drug are healed within B weeks.

The manufacturer of the drug claims that more than 94% of patients taking the drug are healed within 8 weeks.

At the null hypothesis, we test if the proportion is of at most 0.94, that is:

[tex]H_0: p \leq 0.94[/tex]

At the alternative hypothesis, we test if the proportion is of more than 0.94, so:

[tex]H_1: p > 0.94[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, is the value tested at the null hypothesis, is the standard deviation and n is the size of the sample.

0.94 is tested at the null hypothesis:

This means that [tex]\mu = 0.94, \sigma = \sqrt{0.94*0.06}[/tex]

In clinical trials, 228 of 240 patients suffering from acid reflux disease were healed after 8 weeks.

This means that [tex]n = 240, X = \frac{228}{240} = 0.95[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.95 - 0.94}{\frac{\sqrt{0.94*0.06}}{\sqrt{240}}}[/tex]

[tex]z = 0.65[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.95, which is 1 subtracted by the p-value of Z = 0.65.

Looking at the z-table, Z = 0.65 has a p-value of 0.7422.

1 - 0.7422 = 0.2578.

The p-value of the test is 0.2578 > 0.05, which means that there is not sufficient evidence to conclude that more than 94% of patients taking the drug are healed within B weeks.

A similar example can be found at https://brainly.com/question/24166849

Which one correct answer??

Answers

What is the question of it ?

Number 4 is the correct one

Suppose a + bi and c + di are complex numbers with b not equaling 0.
(a) Calculate (a + bi) + (c + di) and (a + bi)(c + di).
(b) Show that if both the sum and product are real numbers, then either the complex numbers are real numbers or conjugates.

Answers

9514 1404 393

Answer:

  (a) sum: (a+c) +(b+d)i

     product: (ac -bd) +(bc +ad)i

  (b) (b+d)=0 and (bc+ad)=0 ⇒ a=c, d=-b or b=d=0

Step-by-step explanation:

(a) Combining like terms the sum is ...

  (a +bi) +(c +di) = (a+c) +(b+d)i . . . . sum

And the product is ...

  (a+bi)(c+di) = ac +(ad+bc)i +bd·i²

Since i = √-1, i² = -1 and the product can be written as ...

  (a+bi)(c+di) = (ac-bd) +(ad+bc)i . . . . product

__

(b) If both the sum and product are real numbers, then we have ...

  b +d = 0

  ad +bc = 0

The first equation tells us d = -b. Substituting that into the second equation, we get ...

  a(-b) +b(c) = 0

  b(c -a) = 0

The zero product rule tells us this will be true if and only if b = 0 or c = a.

  if b = 0, then d = 0 and both numbers are real.

  if c = a, then c+di = a-bi and the numbers are conjugates.

Hence, if both the sum and product are real, both are real numbers or they are conjugates.

If POR ~ ASTU, what is the scale factor of APQR to ASTU?
A. 1/5
B. 1/4
C. 5
D. 4

Answers

Answer:

[tex]k = \frac{1}{5}[/tex]

Step-by-step explanation:

Given

The attached triangles

Required

The scale factor

From the attachment, we have:

[tex]TU = 4[/tex]

[tex]QR = 20[/tex]

So, the scale factor from PQR to STU is:

[tex]k = \frac{TU}{QR}[/tex]

[tex]k = \frac{4}{20}[/tex]

[tex]k = \frac{1}{5}[/tex]

Other Questions
Read the following excerpt from the Declaration of Independence, and read the question that follows. We have appealed to their native justice and magnanimity, and we have conjured them by the ties of our common kindred to disavow these usurpations, which, would inevitably interrupt our connections and correspondence. They too have been deaf to the voice of justice and of consanguinity. Who did the authors appeal to in this paragraph?A. The BritishB. The LoyalistsC. The Native AmericansD. The Patriots which function defins (g-f) (x) Guys please help me with this question A study was conducted in order to estimate ?, the mean number of weekly hours that U.S. adults use computers at home. Suppose a random sample of 81 U.S. adults gives a mean weekly computer usage time of 8.5 hours and that from prior studies, the population standard deviation is assumed to be ? = 3.6 hours.A similar study conducted a year earlier estimated that ?, the mean number of weekly hours that U.S. adults use computers at home, was 8 hours. We would like to test (at the usual significance level of 5%) whether the current study provides significant evidence that this mean has changed since the previous year.Using a 95% confidence interval of (7.7, 9.3), our conclusion is that:a. the current study does provide significant evidence that the mean number of weekly hours has changed over the past year, since 8 falls outside the confidence interval.b. the current study does not provide significant evidence that the mean number of weekly hours has changed over the past year, since 8 falls outside the confidence interval.c. the current study does provide significant evidence that the mean number of weekly hours has changed over the past year, since 8 falls inside the confidence interval.d. the current study does not provide significant evidence that the mean number of weekly hours has changed over the past year, since 8 falls inside the confidence interval.e. None of the above. The only way to reach a conclusion is by finding the p-value of the test. He is playing football into past continuous Write the relation of M3 with its multiples You are writing an essay about dyslexia, a reading disorder. Which of the following could you use as a credible source?A blog written by a teacher who writes stories about teaching children how to readA student research paper about dyslexiaA Wikipedia webpage about dyslexiaAn article in a scholarly journal about the brain science describing the symptoms of dyslexia Determine the period If z is a standard normal variable, find the probability.The probability that z lies between -1.10 and -0.36.0.2239-0.22370.22370.4951 The locus B on the X chromosome of a malaria-carrying mosquito shows a 49% recombination rate with respect to the locus M. Since a recombination rate of 50% is essentially indistinguishable from independent assortment, you might be tempted to look for a locus that falls between B and M. Before you decide to do all that work, you run a chi square test to determine the P value of your experiment. Required:What range of P values would tell you that you should accept the conclusion that locus B and locus M are, indeed, 49mu apart and that another locus is not necessary? 1. I'm afraid I (not/ be) able to come tomorrow. Today only, a sofa is being sold at a 72% discount. The sale price is 218.40.What was the price yesterday? The cost of capital is:___________a. the return that a previous project for the firm had earned.b. the minimum return that a capital budgeting project must earn for it to be accepted.c. the maximum return a project can earn.d. none of these. WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!Suppose you obtain a five-year lease for a Porsche and negotiate a selling price of $146,000. The annual interest rate is 8.4%, the residual value is $75,000, and you make a down payment of $3000. Find each of the following.A.) The net capitalized cost.B.) The money factor. (Rounded to four decimal places)C.) The average monthly finance charge. (Rounded to the nearest cent).D.) The average monthly depreciation. (Rounded to the nearest cent.)E.) The monthly lease payment. (Rounded to the nearest cent.) What is the angle of C? A scientist measures the light from a distant starat 525 nm. The constant for Wien'sdisplacement law is 2.9 x 10-3 m K. What is theapproximate temperature of the star in Kelvins?A) 1500 KB) 180,000 KC) 1.5 KD) 5500 K Which of the following statements about the First Amendments religion clause are true?Check all of the boxes that apply. Which of the following statements about eutrophication is TRUE? a) Eutrophic bodies of water are characterized by clear water that is relatively free of algae. b) Climate change is expected to worsen eutrophication because many phytoplankton grow better in warm water c) Eutrophication is typically driven by natural processes like rock weathering and nitrogen fixation d) Eutrophication can harm fish and other aquatic species but does not cause health problems for humans Amit makes a cuboid having sides 3cm, 2cm & 3cm. How many such cuboids will be required to form a cube. Can someone please help me find 120% of 55