Find all real zeros of the function.
g(x) = 2x (x - 5)2(x – 9)?
If there is more than one answer, separate them with commas.
zero(s):

Answers

Answer 1

Answer:

0, 5, 9

Step-by-step explanation:

g(x) = 2x (x - 5)^2(x – 9) = 0

x = 0 or x - 5 = 0 or x - 9 = 0

x = 0 or x = 5 or x = 9

Answer 2
0 5 9
It’s on khan academy

Related Questions

PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!!

Answers

Answer:

hope this is ok...

1. a) f(h) = -4

  b) f(h) = 4

  c) f(h) = -6

  d) f(h) = -8

2. a) f(h) = 5

   b) f(h) = 11

   c) f(h) = 3

   d) f(h) = -1

3. a) f(x) = 11

   b) f(x) = -5

   c) f(x) = -245

   d) f(x) = -89

4. f(56) = -29.35 or -29.346046

5. f(200) = 10√2 - 56 or -41.857864 (if u want u can round off the decimal to -41.86)

Step-by-step explanation:

1. f(h) = | h - 10 |

a) f(h) = | 6 - 10 | = -4

b) f(h) = | 14 - 10 | = 4

c) f(h) = | 4 - 10 | = -6

d) f(h) = | 2 - 10 | = -8

2. f(h) = | h - 2 |

a) f(h) = | 7 - 2 | = 5

b) f(h) = | 13 - 2 | = 11

c) f(h) = | 5 - 2 | = 3

d) f(h) = | 1 - 2 | = -1

3. f(x) = x² + 11

a) f(x) = -0² + 11 = 11

b) f(x) = -4² + 11 = -5

c) f(x) = -16² + 11 = -245

d) f(x) = -10² + 11 = -89

4. f(x) = 8√x - 31

a) f(56) = 8√56 - 31 = -29.35

5. f(x) = 2√x - 56

a) f(200) = 2√200 -56 = -41.86

Please mark Brainliest....

Answer:

The other person answer is beyond correct PLEASE mark them brainliest they REALLY deserve that o-o

Simplify
-
12 – 81 – 9
5.12
- 451

Answers

Answer:

-615.12

Step-by-step explanation:

hope this helps

plz mark as brainliest!!

Answer: -615.12
Can check using a calculator

f(x)2x/x+3,x≠-3 can somebody please explain.

Answers

Answer:

x cannot equal -3 because if -3 is plugged in for x, there will be a zero in the denominator and you cannot divide by 0

it cancels out. the equal sign have a slash through there

50 points pls help. question down below explaination is option but with if u want brainlist u know

Answers

Answer:

10/13, 2/3, 7/11, 3/5, 5/9

Step-by-step explanation:

5/9 , 7/11, 3/5, 2/3, 10/13

Changing to decimal form

.5555(repeating), .636363(repeating), .6 , .666(repeating) ,.769230769

The largest is 10/13

Then 2/3

Then 7/11

Then 3/5

The smallest is 5/9

Answer:

111

Step-by-step explanation:

111

what is (8*8*8) * (8*8*8*8) in exponential form?​

Answers

Answer:  8^7

The exponent 7 tells us how many copies of "8" are being multiplied together.

The expression 8*8*8 is equal to 8^3, while 8*8*8*8 = 8^4

Multiplying 8^3 and 8^4 will have us add the exponents to get 8^7. The base stays at 8 the entire time.

The rule is a^b*a^c = a^(b+c) where the base is 'a' the entire time.

Answer:

8^ 7

Step-by-step explanation:

(8*8*8) * (8*8*8*8)

There are 3 8's times 4 8's

8^3 * 8^4

We know that a^b * a^c = a^ (b+c)

8 ^ ( 3+4)

8^ 7

Please answer and show steps. Will mark brainliest.

Answers

Answer:

  13.4 meters

Step-by-step explanation:

About the diagram

Attached is a diagram of the problem. The directions North and East are shown so that the usual clockwise from +x measurement of angles will correspond to the bearing angles given in the problem. That is, the bearing of 120° is an angle of 120° measured from North toward East. (The mirroring across the line y=x can be a little mind-bending, but it is isomorphic, so all angles and lengths remain unchanged.)

The other feature of this diagram is the projection of the 3-D problem into two dimensions. Effectively, the center angle rabbit-O-coyote represents a plan view (in the plane of the ground), and the triangles coyote-O-C1 and rabbit-O-R1 represent side views (views in the vertical plane).

The side views let us work out the ground distances O-rabbit and O-coyote, so that we can find the ground distance rabbit-coyote as the problem requests.

__

Problem solution

The distance from the tree (O) to the rabbit is the "adjacent" leg of the 30° angle of elevation from the rabbit to the tree top. The 10 m tree height is the "opposite" leg of that rabbit-O-R1 right triangle. We know the ratio of opposite to adjacent sides gives the tangent of the angle, so we have ...

  tan(30°) = 10/(rabbit distance from tree)

Solving for the rabbit distance, we get

  rabbit distance = 10/tan(30°) ≈ 17.3205 m

Similarly, the coyote distance from the tree will be ...

  coyote distance = 10/tan(20°) ≈ 27.4748 m

__

These are two legs of the rabbit-O-coyote triangle. The angle at O between the rabbit and coyote is 120° -97° = 23°. These values are sufficient to let us use the Law of Cosines to find the distance d from rabbit to coyote:

  d² = r² +c² -2rc·cos(23°)

  d² = 17.3205² +27.4748² -2·17.3205·27.4748·cos(23°) ≈ 178.769

  d ≈ √178.769 ≈ 13.37 . . . . meters

The distance from the rabbit to the coyote is about 13.4 meters.

_____

Additional comment

Note that the angle of depression to the rabbit from the horizontal is the same as the angle of elevation from the rabbit. This lets us draw the diagram without a bunch of extra lines.

5. A recent school survey found that 8 out of 10 students plan to go to college after graduating high school. At
that rate, how many of the 2540 students at the local high school plan to go to college?
318 students
2032 students
2000 students
3175 students

Answers

Answer:2032

Step-by-step explanation:

Since 80% of the students plan to go to college, 80% of 2540 is 2032. 2540x0.8

2082

because

2540/10 x 8 =

If h(x) = x2-5x + 7
find: h(2)

Answers

Answer:

h(2)= 1

Step-by-step explanation:

h(x) = x^2-5x+7

h(2) = 2^2-5*2+7

h(2)= 1

Answer:

1

Step-by-step explanation:

you have to substitute 2 were there's x in the function

h(2)=x^2-5x+7

=2^2-5(2)+7

=4-10+7

=1

I hope this helps

$12,800 at 12% for 3 years find the total amount ?

Answers

Answer:

so first you do

12800*.12 which is  1536

so $1536 for 1 year

for 3 years multiply it by 3

1536*3=

$4608

so 4608+12800 =

17408 is totall

Mark brainliest

17,408 is the amount

a - 6 - 6a = 4

find the value of a

Answers

Answer:

-2

Step-by-step explanation:

a - 6 - 6a = 4

a-6a=10

-5a=10

a=10/-5

a=-2

Answer:

a = -2

Step-by-step explanation:

Add like terms:

a - 6 - 6a = 4

-5a - 6 = 4

Solve for a:

-5a = 10

a = -2

So, a = -2

ILL MARK BRAINLIEST TO FIRST CORRECT ANSWER

Dave solved a quadratic equation. His work is shown below, with Step 111 missing.
What could Dave have written as the result from Step 111?
\begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned}
3
1

(x+4)
2

x+4
x=−16


=48
=±12
or x=8


Step 1
Step 2
Step 3


Choose 1 answer:
Choose 1 answer:

(Choice A)
A
\left(\dfrac{1}{3}x+\dfrac{4}{3}\right)^2=48(
3
1

x+
3
4

)
2
=48left parenthesis, start fraction, 1, divided by, 3, end fraction, x, plus, start fraction, 4, divided by, 3, end fraction, right parenthesis, squared, equals, 48

(Choice B)
B
\left(\dfrac{1}{3}x\right)^2+\left(\dfrac{4}{3}\right)^2=48(
3
1

x)
2
+(
3
4

)
2
=48left parenthesis, start fraction, 1, divided by, 3, end fraction, x, right parenthesis, squared, plus, left parenthesis, start fraction, 4, divided by, 3, end fraction, right parenthesis, squared, equals, 48

(Choice C)
C
(x+4)^2=144(x+4)
2
=144left parenthesis, x, plus, 4, right parenthesis, squared, equals, 144

(Choice D)
D
(x+4)^2=16(x+4)
2
=16

Answers

Answer:

C is the correct answer

Step-by-step explanation:

Dave solved a quadratic equation his work is shown below with step 111 missing

In trapezoid ABCD, AB ∥ CD , m∠A=90°, AD=8 in, DC=9 in, CB=10 in, and ∠B is acute. Find DB.

Answers

Answer:

the length of DB is 17 in

Step-by-step explanation:

Consider the sketch attached.

We will draw an imaginary line from point C to met line AB at point E.

A right-angled triangle will now be formed between points CBE.

The dimensions of the right-angled triangle will be:

CB = 10 in

CE= 8 in

EB = unknown

We will now proceed to find out the length of side EB using the Pythagoras' theorem.

[tex]EB =\sqrt{CB^2 -CE^2} \\EB =\sqrt{10^2 -8^2} \\EB = 6 in[/tex]

From the shape, we can find out that another right-angled triangle is made between points DAB.

The dimensions of the triangle are:

DA= 8in

AB = 9 in + 6 in = 15 in

DB = unknown.

We will now proceed to find out the length of side DB using the Pythagoras' theorem.

[tex]DB =\sqrt{AD^2 +AB^2} \\DB =\sqrt{8^2 +15^2} \\DB = 17 in[/tex]

Therefore, the length of DB is 17 in

The answer to this question is that the length of DB is 17 in

Plz help I’ll mark brainliest

Answers

Answer:

[tex]\large \boxed{\mathrm{2 \ meters}}[/tex]

Step-by-step explanation:

The triangle formed is a right triangle.

We can use trig functions to solve.

The maximum length of the seesaw is the length of the hypotenuse of the triangle.

sin θ = opp/hyp

Let x be the hypotenuse length.

sin 30 = 1/x

x = 1/sin30

x = 2

The maximum length of the seesaw is 2 meters.

Answer:

2

Step-by-step explanation:

Take the right triangle formed by the seesaw.

Let x be the maximum heigth that we are looking for

● sin 30° = 1/x

Switch x and sin 30°

● x = 1 /(1/2)

● x = 1 ×(2/1)

● x= 1×2

● x = 2

Choose a number line to model the following situation:

After a gain of 25 yards, the football team lost 25 yards on the next play. (4 points)

a
A horizontal number line is shown with labels at 0 and 25. A purple arrow (labeled gain 25 yds) begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 25 and ends at 0.

b
A horizontal number line is shown with labels at negative 25, 0, and 25. A purple arrow (labeled gain 25 yds )begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 0 and ends at negative 25.

c
A horizontal number line is shown with labels at 0, 25, and 50. A purple arrow (labeled gain 25 yds) begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 50 and ends at 25.

d
A horizontal number line is shown with labels at 0, 25, and 50. A purple arrow (labeled gain 25 yds) begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 25 and ends at 50.

Answers

Answer: A

Step-by-step explanation: because the number line shows a gain of 25 then a loss of 25, it represents the question showing +25 then -25. so the answer is A

Hope this helps

the answer would be A

1% social security tax is charged up to the annual income of Rs 3,50,000 to an unmarried individual. If the monthly salary of an individual is Rs 16,400, how much social security tax should he pay in a year?​

Answers

Answer:

Rs. 1968

Step-by-step explanation:

Tax rate = 1%

Monthly income of the person = rs. 16400

Now,

Yearly income of individual = rs. 16400×12=rs196800

Tax = tax rate × yearly income

= 1% × rs. 196800

= Rs.1968

Was the question this simple

Or I misunderstood the question :-(

If $a+b = 8$, $b+c = -3$, and $a+c = -5$, what is the value of the product $abc$?

Answers

Answer:

a=3

b=5

c=-8

3+5+-8=0

Step-by-step explanation:

3+5=8

5+-8=-3

3+-8=-5

i think thia is correct you can double check

My answer is the same as the other guys but basically it’s $0 bc a+b=8 and 8-8=0

Raj and Carlos are reading. Carlos reads a chapter in 444 minutes, which is 333 minutes less time than it takes Raj.
How long does it take Raj to read a chapter?

Answers

Answer:

777 minutes

Step-by-step explanation:

Take the amount it takes carlos add the difference between carlos and raj to get the amount it takes raj

444+ 333 = 777

777 minutes is the correct answer

If you're good at angles of depression please help meeeeee and show full working out tyyyyyyyyyy

Answers

Answer:

  236.9 m

Step-by-step explanation:

Let x and y represent the distances to the near and far cars, respectively. You know from the definition of the tangent of an angle that ...

  tan(angle of depression) = building height/distance to car

  tan(10°39') = 150/x

  x = 150/tan(10°39')

and

  tan(8°15') = 150/y

  y = 150/tan(8°15')

The difference of these two distances is the distance between the cars:

  y - x = 150/tan(8°15') -150/tan(10°39')

__

The minutes of arc can be converted to fractional degrees:

  15' = 15'/(60'/1°) = (15/60)° = 0.25°

  39' = 39'/(60'/1°) = (39/60)° = (13/20)° = 0.65°

So, the distance of interest is ...

  distance between cars = (150 m)(1/tan(8.25°) -1/tan(10.65°)) ≈ 236.86 m

The cars are about 236.9 meters apart.

what they said is definitely right

A pantry contains 6 shelves each 42 inches long.
The shelves are to be relined with fresh paper.
The paper is sold in 1-yard rolls. The number
of 1-yard rolls needed is:

Answers

Answer:

7 1-yard rolls

Step-by-step explanation:

1 yard = 36 inches.

6(42 in) = 252 inches.

252 in/36 in = 7

Therefore, 7 1-yard rolls are needed.

The number of 1-yard rolls needed to sell 6 shelves each of 42 inches is 7.

Given,

A pantry contains 6 shelves.

Each shelves = 42 inches long.

The shelves are to be relined with fresh paper.

The paper is sold in 1-yard rolls.

We need to find the number of 1-yards rolls needed to sell 6 shelves.

How many inches is 1yards?

1 yard = 36 inches.

We have,

6 shelves and each shelves is 42 inches.

1 shelves = 42 inches.

6 shelves = 6 x 42 inches

6 shelves = 252 inches.

And since,

36 inches = 1 yard

252 inches = (252/36) yard

252 inches = 7 yard

Thus the number of 1-yard rolls needed to sell 6 shelves each of 42 inches is 7 1-yard rolls.

Learn more about unit conversion here:

https://brainly.com/question/16209700

#SPJ2

PLEASE HELP PLEASE WILL MARK BRAINLY

Answers

Answer:

16,20,8,36

Step-by-step explanation:

he plans to have 2 tables for every 8 guest, which means 1 table for each 4 guest!

now:

2(tables)×4(number of people at each table)=8(number of guests

4×4=16

5×4=20

32(number of guests)÷4(number of people at each table)=8(number of tables)

9×4= 36

Answer:

Since there are 8 guests every 2 table we need to find how many guests are in one table:

8 ÷ 2 = 4 guests

4 tables = 4 x 4 = 16 guests

5 tables = 5 x 4 = 20 guests

32 guests = 32 ÷ 4 = 8 tables

9 tables = 9 x 4 = 36 guests

Hope this helps :D

On the number line below, P represents a number. What is the value of the opposite of that number? A number line from negative 4 to positive 4 in increments of 1 over 4, with all whole numbers alone labeled is shown. Put point P at the fifth tick mark to the right of 0. negative 2 and 2 over 4 negative 1 and 1 over 4 1 and 1 over 4 2 and 2 over 4

Answers

Answer:

[tex]-1\frac{1}{4}[/tex]

option 2

Step-by-step explanation:

In this number line, each interval equals 1/4.

P represents 1 1/4

So, opposite of number P is   ( [tex]-1\frac{1}{4}[/tex] )

option 2 would be the best answer

Determine what type of model best fits the given situation: The height of a tree twenty feet tall increases by 2 feet per year.

Answers

Answer:

linear model

Step-by-step explanation:

This is a linear function.  The initial value is 20 ft, and the yearly growth is 2ft/yr.  Thus, the function is

height(t) = (20 ft) + (2 ft/yr)t, where t is the number of years.

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36

Answers

Step-by-step explanation:

of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36

Answer:

you change your mind, drag the item to the trashcan. Click the trashiecan to clear all your answers. Factor completely and then place the factors in the proper location on the grid.

Step-by-step explanation:

Thanks!

Which expression can be used to convert 100 USD to Japanese yen?

wo competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?

Answers

Not quite sure what you’re asking for but i can offer a couple(and by that i mean two) “answers” depending on what you need.

Usd>Yen~1->.009
Gym B costs 50%less

If the question is trying to compare hours to usd then Gym A is the most accurate representation of USD to Yen

$9.75 I think thats right

-5+2(10b-2)=31 need help thanks!

Answers

Answer:

[tex]\Large \boxed{b=2}[/tex]

Step-by-step explanation:

-5+2(10b-2)=31

Expand brackets.

-5+20b-4=31

-9+20b=31

Add 9 on both sides.

20b=40

Divide both sides by 20

b=2

Answer:

b = 2

Step-by-step explanation:

-5+2(10b-2)=31

Multiply the terms in the bracket

That's

- 5 + 20b - 4 = 31

Group like terms

Send the constants to the right side of the equation

That's

20b = 31 + 4 + 5

Simplify

20b = 40

Divide both sides by 20

We have the final answer as

b = 2

Hope this helps you

John ran 1 2 mile in 5 minutes, and Al ran 1 3 mile in 4 minutes. Which runner ran at a faster rate?

Answers

Answer:

John ran at a faster rate

Step-by-step explanation:

If john runs 1/2 mile in 5 minutes, then for him to run 1 mile it would take 10 minutes because it takes john 5 minutes for every half of a mile. Now Al runs 1/3 mile in 4 minutes. If he would run 1 mile, it would take him 12 minutes because it takes him four minutes every third mile.  

1/3 : 4    =       3/3 : 12        Al

1/2 : 5    =     2/2 : 10           John

From both of the rations John ran faster

John ran faster....................

Directions: Calculate the percent increase or decrease between the starting and ending
quantities below. Round your answer to one decimal place.
1. Start: 3
End: 10
2. Start: 9
End: 20
3. Start: 100
End: 85
4. Start: 45
End: 20
5. Start: 30
End: 60

Answers

I'll do the first two to get you started

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

Problem 1

A = 3 = starting value

B = 10 = ending value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (10-3)/3 ] * 100%

C = (7/3) * 100%

C = 2.3333333 * 100%

C = 233.33333%

C = 233.3%

The positive C value means we have a percent increase. If C was negative, then we'd have a percent decrease.

Answer: 233.3% increase

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

Problem 2

A = 9 = start value

B = 20 = end value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (20-9)/9 ] * 100%

C = (11/9)*100%

C = 1.2222222222*100%

C = 122.22222222%

C = 122.2%

Answer: 122.2% increase
The answer is 3 and end

Does the graph represent a function?

Answers

Hey there!

No, the graph is not a function because it has two of the same inputs, (7, -6) and (7, -7).

It also can't be a linear function because the graphs are not pointed to form a straight line.

Hope this helps!

Have a great day!

Answer: No

Step-by-step explanation: Since we can draw a vertical line that passes through two points on the graph, the relation is not a function.

which of these expressions are equivalent to p/3?

A. p-2/3

B. 1/3p

C. p-3

D. 3/p

E. 3p/p

Answers

Answer: Choice B.  1/3p

This is assuming that p is not in the denominator. To make it more clear that p is not in the denominator, I recommend you write (1/3)p.

Taking 1/3 of a number is the same as dividing by 3.

Example:

27/3 = 9

27*(1/3) = 9

1/3p

This is expressed as equívalent because 1/1 = 1 this 1/3=.33, thus 1/3 is p/3

Determine the graph transformation....

Answers

Answer:

I think its b

Step-by-step explanation:

Other Questions
Find the value of x.ASAP!! A spray irrigation system waters a section of a farmers field. If the water shoots a distance of 85 feet, what is the area that is watered as the sprinkler rotates through an angle of 60 degrees? Use 3.14 for pi . Round your answer to the nearest square foot, and enter the number only. Why does Shakespeare include this comic speech by Mercutio?to explain Benvolios strange behaviorto question the established laws of Veronato mock the reasons for quarrels and feudsto illustrate the close friendship between the men a rectangular rug is 1.8m long 0.7 wide, all measurement are given to 1 decimal place(They have been tranucated and not rounded)A) state the minimum possible length of the rugB) calculate the maximum possible area of the rug help me plz i want help Match the following.1. suffix changed verb to a noun 2. suffix meaning one who 3. suffix shows a quality or action 4. suffix changed noun to a verb 5. suffix used to compare two things 6. suffix changed noun to adjective 7. suffix changed adjective to adverb 8. word that maintains its original part of speech after adding the suffix 9. suffix used to compare three things 10. suffix that can change an adjective to a noun friendlier childish -ence quietly -dom -ant -est liquefy confidant -er Make the biggest possible number using the digits below only once 4 , 5 , 5 answer Which of the following provides a characteristic ofMgO(s) with a correct explanation?Choose 1 answer:It is hard because its ions are held together by strongelectrostatic attractions.BIt is malleable because its atoms can easily move pastone another without disrupting the bonding.It is a poor conductor of electricity because itselectrons are tightly held within covalent bonds andlone pairs.It has a high melting point because its moleculesinteract through strong intermolecular forces. An L-R-C series circuit is connected to a 120 Hz ac source that has Vrms = 82.0 V. The circuit has a resistance of 71.0 and an impedance at this frequency of 107 and an impedance at this frequency of 105. What average power is delivered to the circuit by the source? Mengapa Benua Afrika relatif lebih aman dari gempa vulkanik dibandingkan dengan Benua Asia dan Benua Amerika? 7 kids on the basketball team return sick from a weekend playing games at Lakenheath High school with a virus. The aggressive virus spreads at 130% each day. How long many days till 500 students are sick at school? Consider two bonds, a 3-year bond paying an annual coupon of 5%, and a 20-year bond, also with an annual coupon of 5%. Both bonds currently sell at par value. Now suppose that interest rates rise and the yield to maturity of the two bonds increases to 8%. a. What is the new price of the 3-year bond? Determine the value of x! BRAINLIEST!!!What are the coordinates of P? there are 10 boys and 6 girls. How many ways are there to choose 8 people to get at most 5 girls A grocery store sells apples in bags. Each bag weighs 3/5 of a pound. Alberto's mother buys 6 pounds of apples to make applesauce. How many bags of apples does she buy? Put 0.9,0.1038,0.10299,0.1037 in order from least to greatest Company's budgeted prices for direct materials, direct manufacturing labor, and direct marketing (distribution) labor per attach case are $39, $7, and $12, respectively. The president is pleased with the following performance report: Actual Costs Static Budget VarianceDirect materials 564,000 $400,000 $36,000 FDirect manufacturing labor 78,000 80 2,000 FDirect marketing (distribution) labor 110,000 120,000 10,000FActual output was 9,100 attach cases. Assume all three direct-cost items above are variable costs. Requirement: a. Is the president's pleasure justified? b. Prepare a revised performance report that uses a flexible budget and a static budget. Describe the characteristics of scientific inquiry. Put the following rulings in the debate over slavery in the correct chronological order.A. Missouri Compromise, Kansas-Nebraska Act, Compromise of 1850B. Compromise of 1850, Kansas-Nebraska Act, Missouri CompromiseC. Kansas-Nebraska Act, Compromise of 1850, Missouri CompromiseD. Missouri Compromise, Compromise of 1850, Kansas-Nebraska Act