I need help on this please!!!

I Need Help On This Please!!!

Answers

Answer 1

Answer:

Step-by-step explanation:

1. False D' is in quad 4

2. True it is reflected about the y axis. That puts it in 3. If it was rotated about the x axis, it would be in quad 1

3. As long as there is no point going through the origin, then the statement in 3 is true. You have to understand that in quad 4 all y values are minus.

4. False. If D was entirely contained in quad 2, then in quad 3 the x values will be minus. As a matter of fact, so will the y values.


Related Questions

Baby Victor wants to arrange 7 blocks in a row?How many different arrangements can the baby make?

Answers

Answer:

there are 5040 arrangements.

Step-by-step explanation:

i hope this works

Help ASAP WILL NSRK BRAINLIST IF CORRECT

Answers

Answer:

(1,1)

Step-by-step explanation:

A group of circus bears made a pyramid. 3 bears fell of the top, leaving 3 on the bottom. How many bears made the pyramid?

Answers

Answer:

6, right?

Step-by-step explanation:

A weightlifter holds a 1,300 N barbell 1 meter above the ground. One end of a 2-meter-long chain hangs from the center of the barbell. The chain has a total weight of 600 N. How much work (in J) is required to lift the barbell to a height of 2 m?

Answers

Answer: 1750J

Step-by-step explanation:

The work done that will be used to loft the barbell and the hanging chain will be:

W1 = (1300 + (1/2 × 600))

= 1300 + 300

= 1600J

The work done that'll be used in lifting the upper part of the chain will be:

W2 = (1/2 × 600) × (1/2 × 1).

= 300 × 0.5

= 150J

Total work down will be:

=W1 + W2

= 1600J + 150J

= 1750J

(a) The area of a rectangular field is 6536 m2.
If the length of the field is 86 m, what is its width?
ANSWER ASPPP PLS

Answers

Answer:

Required Answer:-

Let

the breadth =x

Length=86mArea=6536m^2

As we know that in a rectangle

[tex]{\boxed{\sf Area=lb}}[/tex]

Substitute the values

[tex]{:}\longrightarrow[/tex][tex]\sf 86\times x=6536[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 86x=6536 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{6536}{86}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=76 [/tex]

[tex]\therefore[/tex][tex]Breadth=76m [/tex]

Solve: look at the picture please

Answers

Answer:

No solution

I hope this helps!

A disc jockey at a school dance has equal numbers of rock and pop songs that she randomly selects from. She designs a simulation to estimate the probability that the next three songs are all rock songs.

Which simulation design could she use to estimate the probability?

A. Number cube

Let 1,2,3,4 = rock
Let 5,6 = pop

Roll cube three times. Repeat.


B. Random Digits

Let 0,1,2,3 = rock
Let 4,5,6,7,8,9 = pop

Select three random digits. Repeat

C. Number cube

Let even number = rock
Let odd number = pop

Roll cube three times. Repeat


D. Number cube

Let 1 = rock
Let 2 = pop

Roll cube three times. Repeat

Answers

Answer:

number cube

let even number= country

let odd number= not country

roll cube three times. repeat.

------------------------

Step-by-step explanation:

a p e x :))

The simulation design could she use to estimate the probability is;

C. Number cube

Let even number = rock

Let odd number = pop

Roll cube three times. Repeat

Probability SimulationWe are told that school dance has equal numbers of rock and pop songs that she randomly selects.

If she wants to estimate the probability that the next three songs are all rock songs, what she can do is to assign specific type of digits to each type of song.

For example she can say she wants rock song to be even numbers and pop sons to be represented by odd numbers.

The reason why I used even and odd numbers is because we are told that there are equal number of POP and rocks songs and from 0 to 9, we have equal number of even and odd numbers.

Looking at the options, the only one that corresponds to our simulation is option C.

Read more about probability simulation at; https://brainly.com/question/10333446

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.
Input the equation of the given line.

The line including (4, 7) and (0, 7).

Answers

Answer:

[tex]y=7[/tex]

Step-by-step explanation:

First, let's use the two given points to find the slope. Remember the slope equation:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{7-7}{0-4}[/tex]

[tex]m=\frac{0}{-4}[/tex]

[tex]m=0[/tex]

If we're following slope-intercept form, what we have so far is

[tex]y=0x+b[/tex]

Substitute one of the given points for the [tex]x[/tex] and [tex]y[/tex] values in order to find [tex]b[/tex]:

[tex]7=0(4)+b[/tex]

[tex]7=b[/tex]

Now, if we put that back into our slope-intercept equation we get

[tex]y=0x+7[/tex]

or,

[tex]y=7[/tex]

Right off the bat, we can see how we ended up with this equation because both points have the same y-values. This indicates a horizontal line.

I hope this helps!

A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute
How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ___ revolutions per minute

Answers

Answer:

a) 2211.6812281 rad/min

b) 352 rpm

Step-by-step explanation:

A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute

How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ___ revolutions per minute

truck with 24-in.-diameter wheels is traveling at 16 mi/h.

---------

1 mile per hour = 88 feet per minute

16 mi/hr = 1408ft/minute

----------

Each revolution = pi*d feet = 4pi feet

(b) How many revolutions per minute do the wheels make?

rev/min

-------------

Each revolution = pi*d feet = 4pi feet

rpm = 1408 ft/min / 4pi feet

=~ 352 rpm

---------------

(a) Find the angular speed of the wheels in rad/min.

rad/min

-------------

rad/min = rpm*2*pi

= 352 rpm × 2× π

= 2211.6812281 rad/min

So, the wheels make [tex]224.20 \ rev/min[/tex].

Angular Sped:

Angular speed measures how fast the central angle of a rotating body changes with respect to time. It is expressed as,

[tex]\omega=\frac{\theta}{t}[/tex]

Given that:

Diameter[tex]=24 \ in[/tex]

Radius[tex]=12 \ in[/tex]

First, we have to find the angular speed([tex]\omega[/tex]):

We use the formula,

[tex]v=\omega r[/tex]

Substituting,

[tex]16 \ mi/hr=\omega \times 12 \ in[/tex]   ([tex]\therefore[/tex] [tex]1mile=63360inches, \ and \ 1hour=60min[/tex])

[tex]=\frac{16 \ mi\times \left ( 63360 \ in/mi \right )}{\left ( 1 \ hr\times 60 \ min/hr \right )}[/tex]

[tex]=\omega \times 12 \ in[/tex]

[tex]\Rightarrow 15840 \ in/min=\omega \times 12 \ in[/tex]

[tex]\omega =16896/12\\w=1408 \ rad/min[/tex]

Now, we have to find rev/min:

([tex]\therefore \ 1 \ revolution=2\pi[/tex])

Thus,

[tex]1408 \ rad/min\times1 \ rev/2\pi \ rad=224.20 \ rev/min[/tex]..

Learn more about the topic Angular Speed: https://brainly.com/question/25648667

Bina Chand bought two kettle for rs 1625.she sold one of them
at 20% profit and the other at 20% loss.if the selling price of both kettle are same .find the cost price of each kettle .Also calculate her gain or loss percent in the total transaction. ​

Answers

Answer:

cost of each kettle:

K₁ = 650K₂ = 975

gain/loss from each transaction:

gain from selling K₁ = 130loss from selling K₂ = 195

total loss = 65

loss % = 4%

Step-by-step explanation:

both kettles cost 1625

K₁ + K₂ = 1625

selling price of K₁ = [(100 + 20) / 100] x K₁ = 1.2K₁

selling price of K₂ = [(100 - 80) / 100] x K₂ = 0.8K₂

1.2K₁ = 0.8K₂

K₁ = 1625 - K₂

K₁ = 0.8K₂ / 1.2

1625 - K₂ = ²/₃K₂

1625 = ²/₃K₂ + K₂ = ⁵/₃K₂

K₂ = 1625 x ³/₅ = 975

K₁ = 1625 - K₂ = 1625 - 975 = 650

selling price = 1.2K₁ = 1.2 x 650 = 780

selling price K₂ = 0.8K₂ = 0.8 x 975 = 780

gain from selling K₁ = 780 - 650 = 130

loss from selling K₂ = 780 - 975 = 195

total loss = 195 - 130 = 65

loss % = 65 / 1625 = 0.04 = 4%

In what quadrant of the complex plane is -30-40i

Answers

Quadrant 3. You go 30 to the left and 40 down

the sum of (n + 8) + (n − 12)

Answers

Answer:

n+8+n-12=

simplyfiy=2n+20

Step-by-step explanation:

Ya'll just have to simplify the expression and add the like terms together. hope I helped

alright im feeling generous and ill give 100 points and brainliest to the person who wins

Answers

Answer:

thank you and please have me win

Step-by-step explanation:

please give brainliest and a win

how do you win

How tall are u in feet im 5*8?

Answers

Im a 14 billion year old space lady and im 8 feet tall with long flowing hair

Answer:

Well if your talking about height...im 5'1/4

Yeah i pretty short UwU

Step-by-step explanation:

GIVING BRAINLIST ASAP

Jasmine is buying a new mascara. She bought it on sale for $5.56. If the piece represents a 20% discount from the original price, what is the original price of the mascara? Round your answer to the nearest cent (hundredths place)

Answers

Answer:

It's $6.95 :)

Can you guys help me pls

Answers

The slope would be y/x = 3/1 = 3
Answer: 3

Explanation: When answering a question like this check to see if the line is a negative slope : or a positive slope:

use the steps: RISE-over-RUN

FOR EXAMPLE- this would be rise 3 run 1

3/1 or 3 :)

I WILL GIVE BRAINLIEST PLEASE

Answers

Answer:

4

Step-by-step explanation:

Answer:

The answer is 6/25

Step-by-step explanation:

Both 24 and 100 are divisible by 4 so:

24/4 = 6 and 100/4 = 25

So, your final answer is 6/25

Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction

Answers

Answer:

D. [tex] = \frac{b}{a} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{b^{-2}}{ab^{-3}} [/tex]

Required:

Assuming a ≠ 0, b ≠ 0, find the expression equivalent to the given expression.

SOLUTION:

[tex] \frac{b^{-2}}{ab^{-3}} [/tex]

Recall the exponent rule =>  [tex] \frac{x^{a}}{x^{b}} = x^{a - b} [/tex]

Applying the exponent rule, we would have:

[tex] \frac{b^{-2 -(-3)}}{a} [/tex]

[tex] = \frac{b^{-2 + 3}}{a} [/tex]

[tex] = \frac{b^{1}}{a} [/tex]

[tex] = \frac{b}{a} [/tex]

Thus, the equivalent expression of [tex] \frac{b^{-2}}{ab^{-3}} [/tex] = [tex] \frac{b}{a} [/tex]

Answer:

d

Step-by-step explanation:

show work and ill give u brainliest

Answers

Answer:

B. [tex]-2\frac{1}{2}[/tex]

Step-by-step explanation:

First you need to get the least common denominator of the left

-7 3/4 and 1/2 the LCD is 4 so...

(1/1) 3/4 = 3/4 (This doesn't have to change since the denominator is already 4)

(2/2) 1/2 = 2/4

Let's make -7 3/4 into an improper fraction = -31/4

Let's make -2 1/4 into an improper fraction = -9/4

Plug back in

-31/4 - 2w + 2/4 [tex]\leq[/tex] -9/4 (collect like terms)

-29/4 - 2w [tex]\leq[/tex] -9/4 (add 29/4 on both sides)

-2w = 5 (divide by -2)

w = -5/2 or -2 1/2

Hope this helps!!

by mathematical induction 1.2²+2.3²+.....+n(n+1)(n+2)(3n+5)/12​

Answers

Step-by-step explanation:

1.2+2.3+3.4+⋯+n(n+1)=∑k=1nk(k+1)

=∑k=1n(k2+k)

=∑k=1n(k2)+∑k=1n(k)

=n(n+1)(2n+1)6+n(n+1)2

=n(n+1)6(2n+1+3)

=n(n+1)6(2n+4)

=n(n+1)6[2(n+2)]

=n(n+1)(n+2)3

Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2.
(f + g)(t – 5)

Answers

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[tex]f(x) = x + 3[/tex]

[tex]g(x) = {x}^{2} - 2[/tex]

_________________________________

[tex](f + g)(x) = f(x) + g(x)[/tex]

[tex](f + g)(x) = (x + 3) + ({x}^{2} - 2 ) \\ [/tex]

[tex](f + g)(x) = {x}^{2} + x + 3 - 2[/tex]

[tex](f + g)(x) = {x}^{2} + x + 1[/tex]

_________________________________

[tex](f + g)(t - 5) = ({t - 5})^{2} + (t - 5) + 1 \\ [/tex]

[tex](f + g)(t - 5) = {t}^{2} - 10t + 25 + t - 5 + 1 \\ [/tex]

Collect like terms

[tex](f + g)(t - 5) = {t}^{2} - 9t + 21 \\ [/tex]

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Which angle is congruent to angle 3?


I would really appreciate it if someone could help and answer this problem:)

Answers

Answer:

Angle 6

Step-by-step explanation:

Angles on opposite ends are congruent if they are formed by the same two lines or in other words, if the two angles are vertical angles.

What is the determinant of? –18 –8 10 18

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \binom{ | - 18 \: \: \: \: \: - 8| }{ |10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: 18| } = \\ [/tex]

[tex] - 18 \times18 - ( - 8 \times 10) = [/tex]

[tex] - 324 + 80 = - 244[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

D

Step-by-step explanation:

Edge

Use a system of linear equations with two variables and two equations to solve.



205 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.

Answers

Answer:

passed: 164

failed: 41

Step-by-step explanation:

Let the failed students be x, then the passed students will be 4x.

x + 4x = 205

x = 205/5 = 41

4x = 4*41 = 164

Help me ASAP pls. it means the world to me

Answers

I don’t see a picture
Can u take a better picture i cant see the full question

a bus is full of passengers. if you count them by either twos, threes, or fives, there is one left. if you count them by seven there will be none left. find the least number of passengers in the bus?​

Answers

the number of passengers is not a multiple of 2, 3 or 5 but it is a multiple of 7

The lowest multiple of 7 that is not a multiple of 2, 3 or 5 is 7

The next multiple after 7 that is not a multiple of 2, 3 or 5 is 49

7 x 1 = 7
7 x 2 = 14 ( can be divided by 2 )
7 x 3 = 21 ( can be divided by 3 )
7 x 4 = 28 ( can be divided by 2 )
7 x 5 = 35 ( can be divided by 5 )
7 x 6 = 42 ( can be divided by 2 )
7 x 7 = 49

Which inequality has the graph shown below?
Oy > 2x – 3
O y < 2x - 3
oy > 2x - 3
O y < 3x + 1

Answers

Answer:

The answer is y < 2x -3

Step-by-step explanation:

You can read this as all values on the graph will be the value of x times 2 minus 3..

For example, if we wanted to know what the value of y would be if x =2, we would plug in 2 and get 2(2) - 3 or just 1. We can see at the graph that when x = 2 y does equal 1. **In this situation we are pretending that the < symbol is the equal symbol..

To actually find the answer you can graph each equation until you find it or do it this way:

1) Find the slope and determine if it it works for the given graph.

We can see that the slope of the given graph is positive and if we look closer we can see that the slope is 2 over  and that we have a y-intercept of (0,-3).

2) We know that it is Option 2 instead of the first option because o the < sign. If it was option 1, then the shaded part of the graph would be on the other side of the line.

The inequality has the graph shown in the question. is to be considered as the  y < 2x -3.

Calculation of an inequality function:

Since

First determine the slope

So we can see that the slope of the given graph should be positive and then the slope should be 2 over and there is y-intercept of (0,-3).

So based on this, we can say that The inequality has the graph shown in the question. is to be considered as the  y < 2x -3.

Learn more about y-intercept here: https://brainly.com/question/15587122

Find the value x?
(2x-10)degree
(3x +20)degree (STEP explanation)​

Answers

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 2x-10=3x+20 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+20=2x-10[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x-2x=-10-20[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=-30 [/tex]

May someone help me with this please?!

Factor the polynomial function over the complex numbers.



f(x)=x4+3x2−4



Enter your answer in the box.

f(x)=

Answers

Answer:

14

Step-by-step explanation:

I am pretty sure its 14 if not im so sorry

Aisha divides 15 meter of ribbon into 2 equal pieces.

What is the length of each piece of ribbon?

Answers

Answer: 7.5 meters

Step-by-step explanation:

7.5 meters each 15/2=7.5
Other Questions
1.Read the passage given below.I have found that nothing in life is worthwhile unless you take risks. Nothing.Nelson Mandela said: There is no passion to be found playing small, in settlingfor a life that is less than the one you are capable of living.I am sure your experiences in school in applying to college in picking yourmajorin doing what you want to do with life, people have told you to makesure youve something to fall back on.But if I am going to fall, I dont want to fall back on anything, except my faith.I want to fall forward. At least I figure that way I will see what I am about to hit.Thomas Edison conducted 1,000 failed experiments. Did you know that? Ididnt either, because 1,001 was the light bulb.Fall forward.Every failed experiment is one step closer to success. You have got to take risks.And I am sure youve probably heard that before. But I want to talk about whyit is so important.You will fail at some point in life. Accept it. You will lose. You will embarrassyourself. There is no doubt about it. Thats not a traditional message for agraduation ceremony.But, hey, I am telling you- embrace it. Because it is inevitable.And I should know; in the acting business you fail all the time.Early in my career, I auditioned for a part in a Broadway musical. A perfect rolefor me, I thought- except for the fact that I cant sing. So, I start to sing andthey are not saying anything. I think I must be getting better, so I start gettinginto it. The director cuts me off saying I will be hearing from him.I assumed I didnt get the job.But the next part of the audition, the acting part, he called me back, though Ididnt get that too.But heres the thing. I didnt quit. I didnt fall back.I walked out of there to prepare for the next audition, and the next audition,and the next one. I prayed and I prayed, but I continued to fail, and failed andfailed.But it didnt matter because if you try long enough youll catch your break.And I did catch a break.On the basis of your understanding of the passage, answer the questions thatfollow. (1x5=5)I. The speaker will fall back only on hisa) savingsb) faithc) relationsd) physical strengthII. Which of the following does not mean the same as fall forward here?a) try againb) another attemptc) retryd) fall on the groundIII. What are the two things that the listeners would have heard before,according to the speaker?1.making sure that one has something to fall back on.2.one has got to take risks.3.always settle for what one has4.every failure is one step close to success. a) 1 and 2 b) 2 and 3 c) 3 and 4 d) 1 and 3IV. What is the Literary Device used in the paragraph I walked out of thereto prepare for the next audition, and the next audition, and the next one.I prayed, and I prayed, but I continued to fail, and failed and failed.a) parallelismb) hyperbolec) repetitiond) ironyV. What do you understand about the profession of the speaker from thepassage?a) singerb) writerc) poetd) actor Repaso: Completa la oracin con la opcin correcta.Cuando la gente se organiza para protestar algo, este evento se llamao un tirajeo un servidoro un diarioo una marcha At that rate, how many minutes will ittake for the plane's altitude to changeby -5,400 meters? Please answer I need to finish this now its already past due What is the slope? The coordinate plane line has one point on (-4,4) and the other line on (0,-1)M = -5/4M = 5/4M = -4/5M = 4/5PLS HURRY!!!! How does Lingsi's perception of pirates change at the end of "The Difficult Path"?She realizes that they are capable of compassion.She becomes interested in their habits.She becomes wary of their intentions.She begins to think that they are worse than the Li family. 1. A piece of pure gold (Au) has a volume of 50 cmWhat is its mass?Density of Some MetalsMetalDensity (g/cm3)Copper8.96 (g/cm)Iron7.87 (g/cm)Lead11.36 (g/cm)Magnesium1.74 (g/cm)Silver10.49 (g/cm)Zinc7.13 (g/cm)A. 0.38 gB. 2.63 gC. 69.3 gD.950 g ()) What is 8 cubed? Submit You start at (5, -4). You move down 1 unit. Where do you end? The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003a. What proportion of the fans will last at least 10,000 hours?b. What proportion of the fans will last at most 7000 hours? Amount saved ($)9080706050403020100 1 2 3 4 5 6 7 8 9Time (weeks) which one is the y-intercept Select the correct answer.Where is the punctuation error in this sentence?Most people came to the meeting 1 then had been expected. They were standing 2 in the aisles 3 in the hall, 4 and on the front steps.A. 1B.2C.3D.4 You have one type of nut that sells for $6.50/lb and another type of nut that sells for $8.60/1b. Youwould like to have 14.7 lbs of a nut mixture that sells for $7.10/lb. How much of each nut will youneed to obtain the desired mixture?You will need____lbs of the cheaper nutand____lbs of the expensive nut. At January 1, 2022, Ivanhoe Company reported the following property, plant, and equipment accounts: Accumulated depreciationbuildings $61,800,000 Accumulated depreciationequipment 53,200,000 Buildings 97,600,000 Equipment 150,900,000 Land 21,000,000 The company uses straight-line depreciation for buildings and equipment, its year-end is December 31, and it makes adjusting entries annually. The buildings are estimated to have a 40-year useful life and no salvage value; the equipment is estimated to have a 10-year useful life and no salvage value. During 2022, the following selected transactions occurred: Apr. 1 Purchased land for $4.00 million. Paid $1.000 million cash and issued a 3-year, 6% note payable for the balance. Interest on the note is payable annually each April 1. May 1 Sold equipment for $270,000 cash. The equipment cost $3.90 million when originally purchased on January 1, 2014. June 1 Sold land for $4.20 million. Received $690,000 cash and accepted a 3 -year, 5% note for the balance. The land cost $1.40 million when purchased on June 1, 2016. Interest on the note is due annually each June 1. July 1 Purchased equipment for $2.80 million cash. Dec. 31 Retired equipment that cost $1 million when purchased on December 31, 2012. No proceeds were received.Required:1. Record any adjusting entries for depreciation required at December 31. (Credit account titles are automatically indented when the an manually. 2. Prepare the property, plant, and equipment section of the company's statement of financial position at December 31. Nigel wants to average 85% on his four tests. He got 77%, 89%, 78% on his first three tests. What does he need to get on his last test to average 85%? Which of the following is false?a.The Council House Fight was between Anglo settlers and Comanche Native Americans.b.The discussions at the Council House Fight were about Comanche abduction of Anglo settlers.c.Even after the Comanche agreed to release the Anglo captives at the Council House, a fight broke out during the discussions.d.After the death of 35 Comanche at the Council House Fight, the Comanche raided the towns of Victoria and Linnville. what is a procedural or sequence type of text? You can strengthen the quality of your opinion on an issue by ______ people who think differently than you. Mesa Corp. allocates overhead to production on the basis of direct labor costs Mesa's total estimated overhead is $450,000 and estimated direct labor is $180,000. Determine the amount of overhead to allocated to finished goods inventory if there is $20,000 of total direct labor cost in the cost in the jobs in the finished goods inventory. A. $8,000 B. $20,000 C. $70,000 D. $50,000 E. $90,000 The British Tighten ControlHow did Great Britain tighten control over its North American territory? What is the incorporation doctrine? How did it work to grow the power of the federal government?