Huy is solving a quadratic equation by completing the square. His first few steps​ (steps 1-4) are shown below. Which of the following statements is true regarding​ Huy's work?

Given x2+3x−5=0
Solution x2+3x=5 step 1
x2+3x+9=5+9 step 2
(x+3)2=14 step 3
x=−3±14−−√ step 4(1 point)

Huy is incorrect. He made a mistake in step 1 when he added a 5 to both sides. He should have only added a 5 to the left side of the equation.

Huy is incorrect. He made a mistake in step 4 when he solved the equation (x+3)2=14 for x.

Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.

Huy is correct. He has done a nice job of completing the square.

Answers

Answer 1

Answer:

Step-by-step explanation:

yes the answer is B

it should have been x+3=+-[tex]\sqrt{14}[/tex]

so x=-3+-[tex]\sqrt{14}[/tex]

hope my answer helps if it does please mark as brainliest

Answer 2

The true statement will be;

''Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The quadratic equation is,

⇒ x² + 3x - 5 = 0

Now,

Huy is solving a quadratic equation by completing the square.

The steps are;

The quadratic equation is,

⇒ x² + 3x - 5 = 0

Solution; x²+3x=5   (step 1)

x²+3x+9 = 5+9        (step 2)

(x + 3)² = 14             (step 3)

x = - 3 ± √14           (step 4)

Clearly, In step 2 when add 9 then it not make the square form.

That is,

x² + 3x + 9 ≠ (x + 3)²

Thus, The true statement will be;

''Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.''

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2


Related Questions

Solve for xxx in the diagram below.
x=x=x, equals
^\circ
∘please help

Answers

Answer:

x = 34

Step-by-step explanation:

The angles x + 12, 100, and x add up to a straight angle, so the sum of their measures is 180°.

(x + 12) + (100) + (x) = 180

x + 12 + 100 + x = 180

2x + 112 = 180

2x = 68

x = 34

6. Evaluate x³ = -8 *

Answers

-2
-2 x -2 x -2 = -8

Solve log (3x + 4) = log (x – 2) + 3 log 2

Answers

Answer:

x + 4

Step-by-step explanation:

Sine the bases are all the same, I can write the equation:

3x+4 = (x-2) 2^3  When we are adding with logs, that means to multiple.  Also, when we have 3 log 2, that can be written as 2^3 or 8 (2x2x2)

3x+4=(x-2)8

3x+4 = 8x-16

4=5x-16

20 = 5x

4=x

Examine the Scatterplot and Identify Characteristics of the data that are ignored by the regression line.

x 10 8 13 9 11 14 6 4 12 7 5
y 7.46 6.77 12.74 7.11 7.81 8.84 6.08 5.39 8.5 6.42 5.73

Answers

The regression equation is y =  3.002 + 0.5x and the scatterplot is illustrated.

What is a scatterplot?

It should be noted that a scatterplot simply means a type of data that shows the relationship between two numerical variables.

From the information, summation is X is 99, summation Y is 82.5, summation XY is 797.47, and summation X² is 1001.

Now the value of a will be:

= 82.5 - 1001 - 99 - 797.47/(11.1001 - 99²)

= 3.002

b = (11 × 797.47 - 99 × 82.5)/11.1001 - 99²

= 0.5

The regression equation will be:

y = a + bx.

y = 3.002 + 0.5x

There's positive linear correlation between x and y.

Learn more about scatterplot on:

brainly.com/question/6592115

#SPJ1

Simplify the following expression.x-[tex]\frac{2}{3}[/tex] x[tex]\frac{6}{7}[/tex]

Answers

Keeping the bases and adding the exponents, the simplified expression is:

[tex]x^{\frac{4}{21}}[/tex]

How to solve a product of two terms with the same base and different exponents?

We keep the bases and add the exponents.

Hence:

[tex]x^{-\frac{2}{3}} \times x^{\frac{6}{7}} = x^{-\frac{2}{3} + \frac{6}{7}} = x^{\frac{-14 + 18}{21}} = x^{\frac{4}{21}}[/tex]

More can be learned about the simplification of expressions at https://brainly.com/question/19338732

#SPJ1

find m+n

pls help !!!

Answers

Answer:

m + n = 140

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

Given

Two parallel lines,Included triangle between the parallel lines,Two interior angles of the triangle are m and n,Another angle of 40°.

To find

The sum of angles m and n

Solution

As per given, the missing interior angle is corresponding with 40° angle.

Since corresponding angles are equal, the third interior angle of the triangle is 40°.

Sum of three interior angles is 180°:

m + n + 40 = 180m + n = 180 - 40m + n = 140

Apply angle sum property

m+n+40=180m+n=180-40m+n=140

The answer is 140

Which of the following sets shows all the numbers from the set {1, 2.5, 3, 4.5, 5} that make the inequality 3a + 4 ≥ 13 true?

{2.5, 3, 4.5}
{1, 2.5}
{3, 4.5, 5}
{4.5, 5}

Answers

c. {3, 4.5, 5}

3(3) + 4 ≥ 13
9 + 4 ≥ 13
13 ≥ 13
true

3(4.5) + 4 ≥ 13
13.5 + 4 ≥ 13
17.5 ≥ 13
true
3(5) + 4 ≥ 13
19 ≥ 13
true

Which represents the reflection of f(x)=√x over the y-axis?

Answers

We are looking for the graph of [tex]y=\sqrt{-x}[/tex]. which is shown in the attached image.

Which of the following is not a step in finding the area of an unknown figure?
- Calculate the areas of the smaller figures.
- Plug all dimensions into the formula: SA=Ixwxh.
- Divide the figure into smaller, known figures.
- Add up the areas of the smaller figures.

Answers

The answer choice which is not a step in finding the area of the unknown figure is; Plug all dimensions into the formula: SA=Ixwxh. option B

Which is not a step in finding the area of an unknown figure?

It follows from the task content that all other steps except Plugging all dimensions into the formula; SA = l×w×h are correct steps.

This is due to the fact that, the formula does not work for all shapes and hence, it can't be generalized for all situations.

The step which is not involved in finding the area of an unknown figure is; Plug all dimensions into the formula: SA=Ixwxh.

Read more on area of shapes;

https://brainly.com/question/25965491

#SPJ1

Answer:

B) Plug all dimensions into the formula: SA=Ixwxh.

Step-by-step explanation:

a display at an aquarium has sea stars to wolf eels in a ratio 4 : 5. It also has 5/8 as many rockfish as sea stars. there are 40 more wolf eels than rock fish. How many sea stars are there?

Answers

The number of sea stars is 64.

What is a ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other.

In general, a: b, which can be interpreted as "a is to b," is used to denote a ratio between two quantities, let's say "a" and "b."

This ratio is expressed in fraction form as a/b. We utilize the same method for further simplifying a ratio as we use for further simplifying a fraction.

According to the question,

Ratio of sea stars to wolf eels = 4:5

Number of rock fish= 5/8 (Number of sea stars)

Number of wolf eels - Number of rock fish = 40

Using the given information, we get,

Number of sea stars = 8/5 (Number of rock fish)

On simplification,

Number of wolf eels = 80

So, number of sea stars = (4/5)*80

                                          = 64

Learn more about ratios here:

https://brainly.com/question/2328454

#SPJ1

Approximately how many years will it take for the world’s population to increase to 8,252,000,000 people? Since there will be the original 100% plus an additional 2% each year, the base in the exponential equation is 1.02. Use the equation 8252=(6080)(1.02)x, where x is the number of years. Round to the nearest year.

Answers

The number of years it will take for the world’s population to increase to 8,252,000,000 people is 16

How to determine the number of years?

This implies that we calculate the value of x

The equation is given as:

8252=(6080)(1.02)^x

Divide both sides by 6080

1.36 = (1.02)^x

Take the logarithm of both sides

log(1.36) = x * log(1.02)

Divide both sides log(1.02)

x = log(1.36)/log(1.02)

Evaluate the quotient

x = 16

Hence, the number of years is 16

Read more about exponential functions at:

https://brainly.com/question/2456547

#SPJ1

If
C(x) = 12000 + 400x − 2.6x2 + 0.004x3
is the cost function and
p(x) = 1600 − 8x
is the demand function, find the production level that will maximize profit. (Hint: If the profit is maximized, then the marginal revenue equals the marginal cost.)

Answers

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

How to find the production level that'll maximize profit?

The cost function, C(x) is given by 12000 + 400x − 2.6x² + 0.004x³ while the demand function, P(x) is given by 1600 − 8x.

Next, we would differentiate the cost function, C(x) to derive the marginal cost:

C(x) = 12000 + 400x − 2.6x² + 0.004x³

C'(x) = 400 − 5.2x + 0.012x².

Also, revenue, R(x) = x × P(x)

Revenue, R(x) = x(1600 − 8x)

Revenue, R(x) = 1600x − 8x²

Next, we would differentiate the revenue function to derive the marginal revenue:

R'(x) = 1600 - 8x

At maximum profit, the marginal revenue is equal to the marginal cost:

1600 - 8x = 400 − 5.2x + 0.012x

1600 - 8x - 400 + 5.2x - 0.012x² = 0

1200 - 2.8x - 0.012x² = 0

0.012x² + 2.8x - 1200 = 0

Solving by using the quadratic equation, we have:

x = 220.40 or x = -453.73.

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

Read more on maximized profit here: https://brainly.com/question/13800671

#SPJ1

p% of m change into an algebraic expression.

Answers

The expression p% of m changed into an algebraic expression is pm/100

Percentage

p% of m

= p% × m

= p/100 × m

= (p × m) / 100

= pm/100

Therefore, the expression p% of m changed into an algebraic expression is pm/100

Learn more about percentage:

https://brainly.com/question/843074

#SPJ1

Consider the following functions. f=[(-1,1),(1,-2),(3,-4) and g=[(5,0),(-3,4),(1,1),(-4,1)} Find (f-g)(1) =

Answers

The difference between the functions give:

(f - g)(1) = f(1) - g(1) = -3

How to find the difference between the functions?

For two functions f(x) and g(x), the difference is defined as:

(f - g)(x) = f(x) - g(x).

Then:

(f - g)(1) = f(1) - g(1)

By looking at the given tables, we know that:

f(1) = -2

g(1) = 1

Replacing that we get:

(f - g)(1) = f(1) - g(1) = -2 - 1 = -3

If you want to learn more about difference of functions:

https://brainly.com/question/17431959

#SPJ1

Which of the following are identities?

Answers

Answer:

A

Step-by-step explanation:

I. False. Consider y = 3 and x = 4.

II. False. Consider x = 1.

III. False. Consider x = -2.

Let sets A and B be defined as follows.
A is the set of integers greater than -14 and less than -5.
B={h,i,s,x,z}
a) find the cardinalities of A and B
n(A)=
n(B)=

b) select true or false
-12 ∈ A
-21 ∈ A
s ∈ B
m ∉ B

Answers

A is the set of integers greater than -14 and less than -5. B={h, i, s, x, z}. The cardinalities of A and B are, n(A) = 8 and n(B) = 5.

-12 ∈ A, s ∈ B, and m ∉ B are True statements. Since, -21 does not belong to A, 21 ∈ A is a False statement.

Cardinalities of A and B

It is given that,

A = {n : -14 < n < -5, n ∈ Z}  ............ (1)

B = {h, i, s, x, z} ......... (2)

Thus, from (1),

A = {-13, -12, -11, -10, -9, -8, -7, -6} ........... (3)

Cardinalities of A and B are the number of members in the set A and B, respectively. Therefore,

n(A) = 8

n(B) =5

Reason Behind True or False

As  seen from (3), set A contains the element -12. Thus, -12 ∈ A is True.Again from (3), we can see that -12 does not belong to the set A. Thus, -21 ∈ A is FalseFrom (2), s is present in set B. Hence, s ∈ B is TrueSimilarly, m is not present in set B. Therefore, m ∉ B is True

Learn more about cardinalities here:

https://brainly.com/question/19257002

#SPJ1

Pre Calc work, I need help with writing piece wise functions from graphs. Can anyone help? Giving brainliest

Answers

The definition of the piece-wise function is:

[tex]f(x) = 2.5x + 1, -2 \leq x \leq 2[/tex][tex]f(x) = -3, 2 < x < 6[/tex].

What is a piece-wise function?

A piece-wise function is a function that has different definitions, depending on the input.

In this problem, for inputs between -2 and 2, the function is a line that goes through (-2,-4) and (2,6). The slope is:

m = (6 - (-4))/(2 - (-2)) = 2.5.

The y-intercept is of b = 1, hence the rule is:

[tex]f(x) = 2.5x + 1, -2 \leq x \leq 2[/tex]

For x greater than 2 and less than 6, the function is constant at -3, hence the rule is:

[tex]f(x) = -3, 2 < x < 6[/tex].

More can be learned about piece-wise functions at https://brainly.com/question/27262465

#SPJ1

Find the solution of
a(-12 + a) = 0

Answers

Answer:

a=0, 12

Step-by-step explanation:

a=0 and –12+a=0===> a=12

b. What is another composition of rigid motions that maps A GHJ to A KLM?

Answers

Another rigid motions that maps Δ GHJ to ΔKLM is ΔGHJ winding point J rotates 180° in the counterclockwise direction. It then transits south by 10 units and to the right by two units. See the attached image.

What is Rigid Motion?

Rigid Motion is any method of moving all the points in the plane in such a way that.

the relative distance between sites remains constant andthe relative location of the points remains constant.

There are four forms of rigid motions:

translationrotationreflection, and glide reflection.

Learn more about rigid motion at;
https://brainly.com/question/22735923
#SPJ1

I need help with question in photo

Answers

Answer:

14

Step-by-step explanation:

[tex] {x}^{2} = {4}^{2} \\ = 16\\ 4y = 4 \times - 3 \\ 4 \times - 3 = - 12 \\ 16 - - 12 =16 + 12 \\ - \times - = + \\ 16 + 12 = 28 \\ 28 \div 2 = 14[/tex]

write the equivalent of the fraction using a denominator of 52. 2/13

Answers

Answer: 8/52

2/13=x/52

(2×52)/13=x

104/13=x

8=x

x=8

8 is the equivalent of the fraction using a denominator of 52. 2/13

Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value. For example, 9/12 and 6/8 are equivalent fractions because both are equal to 3/4 when simplified.

All equivalent fractions get reduced to the same fraction in their simplest form as seen in the example given above. Explore the given lesson to get a better idea of how to find equivalent fractions and how to check if the given fractions are equivalent.

        ⇒[tex]\frac{2}{13} =\frac{x}{52}[/tex]

       ⇒[tex]\frac{2(52)}{13} = x[/tex]

      ⇒[tex]x = 8[/tex]

therefore, 8 is the equivalent of the fraction using a denominator of 52. 2/13

Learn more about Equivalent fractions here

https://brainly.com/question/17912

#SPJ4

Alvin wants to know what his average paddling rate was for a canoe trip to a campsite. On the way there it took him 10 hours against a river current of 3 km/ hr. On the way back, the same distance took him 5 hours with the same 3 km/hr current.

Answers

The paddling rate of Alvin is 9km/hr

Given time against the  river current is 10 hours , speed is 3km/hr

and time with the river current given is 5 hours and the speed is 3km/hr

We need to calculate the paddling rate of Alvin

Let us assume that

r =Alvin's average paddling rate in km/hour

y = speed of the current in km/hour

we know that

speed= distance/time

distance=speed*time

Now,

To Campsite against the current

Speed=(r-y)

Speed=(r-3) ---- (1)

Time=8 hours

Distance=(r-3)*10------ (2)

10r - 30

From Campsite with the current

Speed=(r+y)

Speed=(r+3)*5

Time=3 hours

Distance=(r+3)*5----(1)

Equate equation 1 and equation 2

5r +15

because is the same distance

5r + 15 = 10r - 30

5r = 45

r = 9

Hence ,The rate of the paddling rate is 9km/hr

Learn more about Speed here

https://brainly.com/question/4931057

#SPJ1

2. Michelle asks her husband to build a pen for her chickens. Three of the sides will be built with mesh fencing, while the fourth side will back up to the east side of her house. She wants the enclosed area to be 400 square feet. The cost of the fence meshing will be $4.18 per foot and the pen will also need 4 corner posts costing $9.50 each.

a. [6 pts] Let x be the length of the side of the chicken coop that backs up to the east side of the house. Write a function P(x), for the price of the materials for the pen in terms of x. Simplify your answer.

b. [3 pts] Use your calculator to find the dimensions of the pen that costs the least. Set your window with: 0≤x≤80 and 10≤ y ≤400, and round your answer to 2 decimal places. (Insert your graph here. You may hand draw the graph or insert an image of the graph from Desmos)

c. [1 pt] What is the total cost of the pen? Round to dollars and cents.

Answers

The function P(x), for the price of the materials for the pen, is 4.18(800/x + x) + 38.

How to illustrate the function?

Based on the information, the function P(x), for the price of the materials for the pen will be:

P(x) = 4.18 (2 × 400/x + x) + 38

= 4.18(800/x + x) + 38.

The dimensions will be:

We'll differentiate the function which will give 20✓2. Therefore, the value for x will be 20✓2 which is 28.28 feet and that of y will be 10✓2 which is 14.14 feet.

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

Here are two steps from the derivation of the quadratic formula (image w question below)

Answers

Answer:

  B.  Completing the square

Step-by-step explanation:

Between the first and second steps shown, the square of half the x-term coefficient was added to both sides. That is a value that makes the polynomial on the left be a "perfect square trinomial."

The process of adding the value required to make the left side a perfect square is called "completing the square."

If np>5 and nq>5, estimate P (at least 10) with n=13 and p=0.5 by using the normal distribution as approximation for the binomial distribution, if np, or nq,5, then state that the normal approximation is not suitable.

Answers

Using the normal distribution, the probability is given as follows:

[tex]P(X \geq 10) = 0.0485[/tex].

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

The parameters for the binomial distribution are:

p = 0.5, n = 13.

Hence the mean and the standard deviation are:

[tex]\mu = np = 13 \times 0.5 = 6.5[/tex].[tex]\sigma = \sqrt{np(1-p)} = \sqrt{13 \times 0.5 \times 0.5} = 1.8028[/tex]

Using continuity correction, the desired probability is P(X > 9.5), which is one subtracted by the p-value of Z when X = 9.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{9.5 - 6.5}{1.8028}[/tex]

Z = 1.66

Z = 1.66 has a p-value of 0.9515.

1 - 0.9515 = 0.0485, then:

[tex]P(X \geq 10) = 0.0485[/tex].

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

help with this question please !

Answers

Answer:

angle 8 is congruent to angles 3, 6, and 1

Step-by-step explanation:

If n and q are parallel then corresponding and vertical angles would be congruent. So: angle 8 is congruent to angles 3, 6, and 1.

Jada is solving the equation shown below.

Negative one-half (x + 4) = 6

Which is a possible first step to begin to simplify the equation? Select two options.
Divide both sides of the equation by –2.
Subtract 4 from both sides of the equation.
Multiply both sides of the equation by –2.
Distribute –2 over (x + 4).
Distribute Negative one-half over (x + 4).

Answers

Answer:

Distribute -1/2 over (x+4)

Step-by-step explanation:

-0.5(x+4) = 6

-0.5x - 2 = 6

-0.5x = 8

x = -16

Answer:

Multiple both sides by -2 or Distribute negative one-half over (x+4)

Step-by-step explanation:

-1/2(x+4) = 6

If I multiple both sides by -2, I am clearing the fraction:

(-2)(-1/2)(x+4) = 6(-2)

x+4 = -12

x = -16

OR

-1/2(x + 4) = 6

-1/2x -2 = 6  Remember, a negative times a positive is a negative.

-x - 4 = 12 multiply both sides by 2

-x = 16

x = -16

Use the distance formula to find the length of the segment C(2, 1) to
D(5,6). Round your answer to two decimal places.

Answers

Answer: 5.83

Step-by-step explanation:

[tex]\sqrt{(2-5)^2 + (1-6)^2}=\sqrt{34} \approx 5.83[/tex]

Given angle ABC shown on the coordinate plane below.

Draw angle A”B””C” = Ro 90(T<-4,3>(ABC))

Answers

The attached image shows the image of A"B"C" after the transformation

What is the transformation of the triangle about?

The transformation rule states:

A"B"C" = Ro90° (T(-4,3)(ABC))

This implies that one need to rotate the triangle in a 90⁰ clockwise direction, and then one need to translate the triangle.

Using the image shown, the coordinates of ABC are;

A = (-1, 2)

B = (1, 4)

C = (3, -1)

The 90⁰ rule clockwise rotation  will be:

(x,y) -- (y,-x)

So, when translated, it will be:

A' = (2, 1)

B' = (4, -1)

C' = (-1, -3)

Then the translation of the triangle using T(-4,3):

(x, y) -  (x - 4, y + 3)

So, there is:

A'' = (-2, 4)

B'' = (0, 2)

C'' = (-5, 0)

Learn more about transformation from:

https://brainly.com/question/28108536

#SPJ1

Which of the following shows the graph of y= 2e^x?

Answers

The graph of the given function, y = 2eˣ, is given below

Graph of a function

From the question, we are to determine the graph of the given function

The given function is

y = 2eˣ

The graph of y = 2eˣ is shown below

Learn more on Graph of a function here: https://brainly.com/question/16823382

#SPJ1

Other Questions
Prepare a food pyramid or Healthy plate-state its nutritional value and how does ithelp for the physical and mental wellbeing of the students. Students at a high school were polled to determine the type of music they preferred. There were students who completed the poll. Their responses are represented in the circle graph.What percent of students preferred music?A circle graph titled Music Preferences consists of a circle divided into 6 regions with labels and sizes as follows: rap, 945; alternative, 462; rock and roll, 275; country, 168; jazz, 15; other, 85.Music PreferencesRap 945Alternative 462Rock and Roll 275Country 168Jazz 15Other 85 PLEASE HURRY AND HELPWrite the empirical formula for at least four ionic compounds that could be formed from the following ions:Fe+, CHCO, Pb4+, MnO-4 Give the coordination number and the charge of the central metal ion in each coordination compound: For the charges, enter your answers with the correct sign. e.g. if you think the answer is 1, enter the positive sign followed by the number 1. Na2[Zn(OH)4] coordination number Many biologists debate how a virus should be classified. in 2008, scientists in france discovered that a virus was capable of infecting another virus. which theory might be supported by this information? a virus is living a virus is nonliving a virus uses sexual reproduction a virus makes its own proteins From Andys house to Billys hometown you can travel by 3 roads. And to get from Billys hometown to Willies's house you can travel by 5 roads. How many possible wats are there to travel from andys house to willies house?From Dan's ranch one road is built to get to Andy's house and two roads are built to get to Willies house (see previous problem). How many way are there now to get from Andys house to willies house? Mary won $200,000 in a state lottery. she first paid income tax of 30% on the winnings. she invested some of the rest at 1.5% and some at 4%, earning $4,350 interest per year. how much did she invest at each rate? Jen assumes an Asian-appearing person is a recent immigrant to the United States This line of thinking represents an example of Which answer choice best expresses the relationship between rights and responsibilities? Imagine you run an online art supply store. You are looking to increase awareness of online purchases by 5 percentage points among the target audience within three months. Which test would best measure this goal Another partner feels that this arrangement will compromise her autonomy and feels that it will look as if the office is associated with the pharmacy even if it is not. Everyone agrees that the overhead costs need to be reduced. What is the right thing to do A national chain of department stores ranks its 1,000,000 salespeople by the monetary value of their sales. Karen's sales are at the 26th percentile. Brian's salesare at the 33rd percentile.(If necessary, consult a list of formulas.)(a) Which of the following must be true about Karen's sales?The value of Karen's sales were about 26% of the chain's total.O The value of Karen's sales was in the top half of all of the salespeople.O Karen sold $2600 in merchandise.O Karen had sales lower in value than about 74% of the salespeople.(b) Which of the following must be true about Karen's and Brian's sales?The value of Brian's sales were $700 more than Karen's.O The value of Karen's sales were $700 more than Brian's.O Both Karen and Brian had sales higher in value than the median.O Both Karen and Brian had sales lower in value than the median. At the beginning of the 20th century, the leading cause of death in the U.S. was _______________. line Construction is an all-equity firm that has projected perpetual earnings before interest and taxes of $628,000. The current cost of equity is 17.6 percent, and the tax rate is 25 percent. The company is in the process of issuing $4.3 million of 8.3 percent annual coupon bonds at par. What is the levered value of the firm Which item does not appear on schedule k of form 1120s? which of the following is not a function of the federal reserve system, or the fed Why Artificial inteligente are not beneficial to children? Central idea #1) a normal distribution has a mean of 101 and a standard deviation of 4.2. what is the z-score of 105? What action did the united states and britain take in iran during the cold war in 1953? please can anyone help answer this?Jacob Lawrence was inspired to paint images of the lives and struggles of African Americans. His approach to form and color is somewhat reminiscent of works by ___________.a. Salvador Dalib. Henri Matissec. Jackson Pollockd. Joan Miro