Find the area of the figure to the nearest tenth, if necessary.

Find The Area Of The Figure To The Nearest Tenth, If Necessary.

Answers

Answer 1

Answer:

36 ft²

Step-by-step explanation:

Split the figure into two shapes.

Area of figure = Area of rectangle + Area of triangle

Area of rectangle:

[tex]length \times width[/tex]

[tex]length=8\\width=4[/tex]

[tex]8 \times 4 = 32[/tex]

Area of triangle:

[tex]\frac{base \times height}{2}[/tex]

[tex]base=8-4=4\\height=2[/tex]

[tex]\frac{4 \times 2}{2}[/tex]

[tex]\frac{8}{2} =4[/tex]

Area of figure = [tex]32 + 4 = 36[/tex]

Answer 2

Answer:

36[tex] {ft}^{2} [/tex]

Option C is the correct option.

Step-by-step explanation:

Solution,

Height = 2 ft

Base = 8 - 4 = 4 ft

Finding the area of ABC :

[tex] \frac{1}{2} \times b \times h[/tex]

[tex] = \frac{1}{2} \times 4 \times 2[/tex]

[tex] = 4 \: {ft}^{2} [/tex]

Finding the area of rectangle BDEF:

[tex]length \: \times breadth[/tex]

[tex] = 8 \times 4[/tex]

[tex] = 32 \: {ft}^{2} [/tex]

Total area :

Area of triangle ABC + Area of rectangle BDEF

[tex] = 4 \: {ft}^{2} + 32 { \: ft}^{2} [/tex]

[tex] = 36 \: {ft}^{2} [/tex]

Hope this helps...

Good luck on your assignment..

Find The Area Of The Figure To The Nearest Tenth, If Necessary.

Related Questions

Which statement explains if a dilation was applied? A dilation was applied to the fabric because the width of the fabric was preserved. A dilation was applied to the fabric because the angle measures were preserved. A dilation was not applied to the fabric because the angle measures are the same. A dilation was not applied to the fabric because the length was changed, not the width.

Answers

Answer:

A dilation was not applied to the fabric because the length was changed, not the width.

Step-by-step explanation: B was not the answer it was D.          

Answer:

D.

Step-by-step explanation:

Edge 2022.

Please answer this correctly

Answers

Answer:

Dependent

Step-by-step explanation:

Madelyn needs to base her move off Bryant, meaning the two events are dependent.

I'm pretty sure it would be dependent, but thats just me.

PLZ I need Help the Question is: 5+13·18+85÷17−11

Answers

Answer:

233

Step-by-step explanation:

A circuit contains two capacitors rated at 0.02 microfrads and 0.05 microfrads connected in series the circuits Source voltage is 30vac what is the circuits total capacity

Answers

Answer:

  about 0.0143 microfarads

Step-by-step explanation:

The effective capacitance of capacitors in series is the reciprocal of the sum of their reciprocals:

  1/(1/0.02 +1/0.05) = 1/(50+20) = 1/70 ≈ 0.0143 . . . microfarads

please help. Find the value of x

Answers

Answer:

x  =24

Step-by-step explanation:

Call the angle in the lower right corner y

The outside angles add to 180 degrees for the large triangle

41+ 94+ y = 180

135 + y = 180

y = 180-136

y =45

The small triangle in the lower right also has angles that add to 180

y+ 111+x = 180

45+111+x = 180

156 + x = 180

x = 180-156

x =24

Answer:

x = 24

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

a + 111 = 180

180 - 111 = a

a = 69

Angles in a quadrilateral add up to 360 degrees.

69 + 41 + 94 + c = 360

204 + c = 360

c = 360 - 204

c = 156

Angles on a straight line add up to 180 degrees.

x + 156 = 180

x = 180 - 156

x = 24

Find the circumference and the area of a circle with diameter 8 yd.
Use the value 3.14 for, and do not round your answers.


I need the area and circumference!!

Answers

Answers:

area = 50.24 square yards

circumference = 25.12 yards

values are approximate

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

Work Shown:

d = 8 is the diameter

r = 4 is the radius, half the diameter

pi = 3.14 approximately

C = 2*pi*r = circumference

C = 2*3.14*4

C = 25.12 yards is the circumference. The circumference is the distance around the circle, aka the perimeter

An alternative formula you can use is C = pi*d

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

A = area of circle

A = pi*r^2

A = 3.14*4^2

A = 50.24 square yards is the area

Answer:

25.12  and  50.24

Step-by-step explanation:

8/2=4

4= radius

8= diameter

3.14*8=25.12

This would be the circumfrence   (25.12)

3.14*4^2

3.14*16

50.24

This would be the area   (50.24)

Hope this helps!

A random sample of adult drivers was obtained where 52% were men and 46% were women. Note that everyone is not classified as a man or a women. A survey showed that 65% of the drivers rely on GPS systems. 30% of the drivers are men and use GPS while 34% of the drivers are women and use GPS. Suppose a person included in this survey is randomly selected.
a) Suppose the person selected is a man. What is the probability that he relies on a GPS system? Your answer should have at least 3 decimal places.b) Suppose the person selected relies on a GPS system. What is the probability that the person is a woman? Your answer should have at least 3 decimal places.c) What is the probability that the person is a man and does not rely on a GPS system? Your answer should have at least 3 decimal places.d) What is the probability that an individual is a man or uses a GPS system? Your answer should have at least 3 decimal places.e) What is the probability that an individual does not use a GPS system? Your answer should have at least 3 decimal places.

Answers

Answer:

a) P(G | M) = 0.577

b) P(W | G) = 0.523

c) P(M and G') = 0.220

d) P(M or G) = 0.870

e) P(G') = 0.350

Step-by-step explanation:

A random sample of adult drivers was obtained where 52% were men and 46% were women.

P(M) = 0.52

P(W) = 0.46

A survey showed that 65% of the drivers rely on GPS systems.

P(G) = 0.65

30% of the drivers are men and use GPS while 34% of the drivers are women and use GPS.

P(M and G) = 0.30

P(W and G) = 0.34

a) Suppose the person selected is a man. What is the probability that he relies on a GPS system? Your answer should have at least 3 decimal places

P(G | M) = ?

Recall that conditional probability is given by

∵ P(B | A) = P(A and B)/P(A)

For the given case,

P(G | M) = P(M and G)/P(M)

P(G | M) = 0.30/0.52

P(G | M) = 0.577

b) Suppose the person selected relies on a GPS system. What is the probability that the person is a woman? Your answer should have at least 3 decimal places.

P(W | G) = ?

Recall that conditional probability is given by

∵ P(B | A) = P(A and B)/P(A)

For the given case,

P(W | G) = P(W and G)/P(G)

P(W | G) = 0.34/0.65

P(W | G) = 0.523

c) What is the probability that the person is a man and does not rely on a GPS system? Your answer should have at least 3 decimal places.

P(M and G') = ?

Where G' means does not rely on a GPS system

P(M and G') = P(M) - P(M and G)

P(M and G') = 0.52 - 0.30

P(M and G') = 0.220

d) What is the probability that an individual is a man or uses a GPS system? Your answer should have at least 3 decimal places.

P(M or G) = ?

Using the addition rule of probability,

∵ P(A or B) = P(A) + P(B) - P(A and B)

For the given case,

P(M or G) = P(M) + P(G) - P(M and G)

P(M or G) = 0.52 + 0.65 - 0.30

P(M or G) = 0.870

e) What is the probability that an individual does not use a GPS system? Your answer should have at least 3 decimal places.

P(G') = ?

P(G') = 1 - P(G)

P(G') = 1 - 0.65

P(G') = 0.350

Lindsey made an error while solving this equation. 143.5 = 2 - (7(x+3). What line has the error?

(Refer to image)

A: Step 1
B: Step 2
C: Step 3
D: Step 4

Answers

Answer:

Step 1

Step-by-step explanation:

She didn't distribute the negative while she distributed 7. It should be -7x - 21, not 7x - 21.

As a prize for winning a contest, the contestant is blindfolded and allowed to draw 3 dollar bills one at a time out of an urn. The urn contains forty $1 bills and ten $100 bills. The urn is churned before each selection so that the selection would be at random. What is the probability that none of the $100 bills are selected

Answers

Answer:

The probability that none of the $100 bills are selected is 79.6%.

Step-by-step explanation:

The urn contains forty $1 bills and ten $100 bills.  This gives a total of 50 bills in the urn.

To draw 3 dollar bills one at a time out of an urn, the probability of not selecting a $100 bill, decreases with each selection.

And the probability of not selecting a $100 bill is the probability of selecting a $1 bill in the first selection  = 80% (40/50 x 100).

The probability of selecting a $1 bill the second time = 79.6% (39/49).

The probability of selecting a $1 bill the third time = 79.2% (38/48).

The sum of the probabilities divided by 3 = 79.6% (238.8/3)

b) Probability arises when there is a chance that an event may occur from a set of events that could have occurred. It is based on an estimate that one event happens when all the events in the set are given no less equal chance.

Please help :) May gob bless all of u for helping each other

Answers

Answer:

see below

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos 53 = y/ 34

34 cos 53 = y

20.46171079 = y

The amount of time t(in minutes) that it takes to put out a fire varies inversely with G, the volume of water used (in hundreds of gallons). When G is 2, t is 20. Find how long it takes to put out a fire when 500 gallons of water (G = 5) are used.

Answers

Answer:

50 minutes.

Step-by-step explanation:

You can use a ratio to solve:

    [tex]t[/tex]     :     [tex]G[/tex]

  20    :     2

   10    :     1

    [tex]x[/tex]     :     5

[tex]x[/tex] must be 50 minutes since 100 gallons of water takes 10 minutes.

A body of 100 g of mass moves with a constant speed of 20 m / s. At a given moment, a force of 50 N is applied to it, which is constantly held perpendicular to the direction of movement.

1).-The radius of the circular path described by the body .
2). The number of turns per second it will make. Help

Answers

Answer:

1) 0.8 m

2) 3.98 rev/s

Step-by-step explanation:

1) Centripetal force:

F = mv²/r

50 N = (0.1 kg) (20 m/s)² / r

r = 0.8 m

2) Angular velocity:

ω = v/r

ω = (20 m/s) / (0.8 m)

ω = 25 rad/s

f = (25 rad/s) (1 rev / 2π rad)

f = 3.98 rev/s

The surnames of 40 children in a class arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A, 14, of the letters of the alphabet do not appear as the first letter of a surname If more than one surname begins with a letter besides A and O, how may surnames begin with that letter?

Answers

Step-by-step explanation:

40children - 23 (with A, O) = 17left

26 letter in alphabet- ( A, O) = 24 letter left

24 letters left - 14 (not used for 1st letters) = 10

10 letters left to use/ 17 children left

10÷17 = 0.5882352941 x 10 =5.8 or as close to 6 I can get

There are six surnames that start with each letter other than A and O when more than one surname does.

What are permutation and combination?

A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.

Given, The surnames of 40 children in a class are arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A.

Since, 14, of the letters of the alphabet do not appear as the first letter of a surname

14 of the letters of the alphabet do not appear as the first letter of the surname

∴ the no. of letters that appeared = 26-14 = 12 alphabets

15 surnames begin with 10 letters beside O and A

∴ 6 surnames begin with a letter

Therefore, If more than one surname begins with a letter besides A and O, 6 surnames begin with that letter.

Learn more about Permutation and combination here:

https://brainly.com/question/15268220

#SPJ2

I NEED HELP PLEASE, THANKS! :)

Answers

As you know, a parallelogram's area is calculated by multiplying the length of it's sides, so all we are being asked to do is find the product of u and v -

[tex]( - 4i - 9j + k )( - 6i + j + 5k ),\\[/tex]

You would apply cross products in order to determine u * v. Doing so, you would get a solution of -46i + 14j - 58k.

Now we can take the magnitude of  this vector -

u * v = √( - 46 )^2 + ( 14 )^2 - ( 58 )^2,

u * v = ( About ) 75.3 square units,

Solution = Option A

The answer is option A

n a survey from 1998, 449 teenagers were surveyed about the music that they listen to. Of these teenagers, 129 of them said that their favorite genre of music is hip-hop. In a similar survey from 2008, 176 of 509 teenagers surveyed said that their favorite genre is hip-hop. Use a two-proportion hypothesis test to determine whether the proportion of teenagers whose favorite genre of music is hip-hop has changed from 1998 to 2008. Assume that the samples are random and independent. Use α=0.01. Let the sample from 1998 correspond to sample 1 and the other to sample 2. (a) Which answer choice shows the correct null and alternative hypotheses for this test?

Answers

Answer:

We accept H₀  

Step-by-step explanation:

To compare two proportion:

proportion 1. 1998

n₁  =  449

p₁  =  129/449    p₁  =  0,2873

proportion 2. 2008

n₂  =  509

p₂  =  176/509    p₂  = 0,3457

Test hypothesis

Null Hypothesis                             H₀                 p₂  -  p₁  = 0

Alternative Hypothesis                 Hₐ                 p₂  >  p₁

We have a one tail test ( to the right)

As   α = 0,01 we find in z-table the z score   z = 2,29  ( approximation for 0,011)

To calculate z(s),

z(s) =  ( p₂  -  p₁ ) /√ p*q ( 1/n₁ + 1/n₂)

p = ( x₁ + x₂ ) / n₁ + n₂

p = 129 + 176 / 449 +509

p = 0,3184     and    q =  1  - p       q = 0,6816

1/n₁  + 1/n₂  =  1/ 449  +  1 / 509   =  0,00222 + 0,001964

1/n₁  + 1/n₂  = 0,004184

z(s) =  0,0584/ √(0,3184*0,6816)*0,004184

z(s) =  0,0584/ 0,03013

z(s) = 1,938

z(s) < z(c)        1,938  < 2,29

z(s) is in the acceptance region we accept H₀  at  α = 0,01

What are the zeroes of f(x) = y2 - 2x - 3?

Answers

Answer:

x=y^2/2 - 3/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Product = -3

Sum = -2

Factors = -3 , 1

y² - 2y - 3 = y² + y - 3y - 3

               = y( y + 1) - 3(y + 1)

               = (y +1) (y - 3)

The expression x−y equals 0.7 if x and y have certain values. Evaluate the following expressions with the same values of x and y. What is y−x

Answers

Answer:

-0.7

Step-by-step explanation:

[tex]x-y=0.7[/tex]

You can choose any digits you wish for [tex]x[/tex] and [tex]y[/tex] but the difference must be 0.7. I chose 1.0 and 0.3.

[tex]x=1\\y=0.3\\x-y=0.7\\\\y-x=\\0.3-1=\\-0.7[/tex]

-0.7 answer good luck

What is the exact volume of a cone whose base radius is 9ft and whose height is 14 ft. Show your work

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

V ≈ 1187.52

▹ Step-by-Step Explanation

V = πr²[tex]\frac{h}{3}[/tex]

V = π9²[tex]\frac{14}{3}[/tex]

V ≈ 1187.52

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: The exact volume of a cone with a base radius of 9 feet and height of 14 feet is 1187.52.

Step-by-step explanation:

Using the formula V=1/3hπ, we can substitute each variable that we have. Once simplified we will get 1185.52 exactly. Good Luck!

Sabendo que "K" satisfaz a equação {2(k-8) + 3(-k+1) = -4k +11} Os valores reais de x que satisfazem a equação 15x² - kx + 1 = 0 são:
A) 1/2 e 1/5
B) 1/2 e 2/5
C) 1/7 e 1/3
D) 1/5 e 1/3
E) 2/5 e 1/7

Answers

Answer:

D) 1/5 e 1/3

Step-by-step explanation:

You have the following quadratic equation:

[tex]15x^2-kx+1=0[/tex]           (1)

In order to find the values of x that are solution to the equation (1), you first find the solution for k in the following equation:

[tex]2(k-8)+3(-k+1)=-4k+11\\\\2k-16-3k+3=-4k+11\\\\2k-3k+4k=11+16-3\\\\3k=24\\\\k=8[/tex]

Next, you replace the previous value of k in the equation (1) and you use the quadratic formula to find the roots:

[tex]15x^2-8x+1=0\\\\x_{1,2}=\frac{-(-8)\pm \sqrt{(-8)^2-4(15)(1)}}{2(15)}\\\\x_{1,2}=\frac{8\pm 2}{30}\\\\x_1=\frac{1}{5}\\\\x_2=\frac{1}{3}[/tex]

Then, the roots of the equation (1) are

D) 1/5 e 1/3

Write the equation of each line in slope intercept form (If possible please show work)

Answers

Hope it make sense now :)

If a carton contains 6 eggs, how many eggs are there in 13 cartons? would it be 6x13?? which is equal to 78 I'm not sure.

Answers

Answer:

78 eggs

Step-by-step explanation:

13 × 6 = 78 eggs

Hope this helps! :)

Answer:

Yes it would be 6x13=78

Step-by-step explanation:

cross multiplication and divide:

1 cartoon = 6 eggs

13 cartoons = x

PLEASE HELP!!(PIC INCLUDED)
Which of the following steps were applied to ABCD to obtain A'B'C'D?

A. shifted 3 units right and 2 units down

B. shifted 4 units right and 2 units down

C. shifted 2 units right and 3 units down

D. shifted 3 units right and 1 unit down

Answers

Answer:

A. Shifted 3 unit right and 2 unit down

Step-by-step explanation:

Let's determine the reason for the answer.

We will use a reference point, only one point to determine the reason.

Because the both shape are identical.

Let's use point A

The position of A is 2 on the y axis and 1 on the x axis

While the position of A' is 0 on the y axis and 4 on the X asis

Let's know how many units where moved from the position.

A' -A

For X axis

4-1= 3

For y axis

0-2= 2(we need only the magnitude)

So its 2 units Down and 3 unit right

Which student solved the equation 107d=1733.4 correctly?

Answers

Divide 107 brown both sides to find out what d equals

107d=1733.4
d=16.2

Is this what you’re looking for?

Answer:

b correct me if i am wrong probably am

Step-by-step explanation:

Given: a concave polygon Conjecture: It can be regular or irregular

Answers

Answer:

[tex]false[/tex]

Step-by-step explanation:

A concave polygon can never be regular (all sides and angles must be congruent). Hope this helps..

The target population is all students in your university. You wish to estimate the average current Visa balance for each student. How large would the university student population have to be in order to be regarded as effectively infinite in each of the following samples?
(a) A sample of 24 students.
(b) A sample of 52 students.
(c) A sample of 96 students.

Answers

Answer:

For each of the sample sizes given, for the population to be regarded as effectively infinite, student population has to be more than

a) 240 students.

b) 1,040 students.

c) 1,920 students.

Step-by-step explanation:

A population may be treated as infinite when the population size, N, is at least 20 times the sample size, n.

Mathematically,

(N/n) > 20

N > 20n

(a) A sample of 24 students.

If sample size = n = 24

For the population size to be effectively infinite,

N > 20n

N > 20×24

N > 480 students

(b) A sample of 52 students.

If sample size = n = 52

For the population size to be effectively infinite,

N > 20n

N > 20×52

N > 1,040 students

(c) A sample of 96 students.

If sample size = n = 96

For the population size to be effectively infinite,

N > 20n

N > 20×96

N > 1,920 students

Hope this Helps!!!

g Determine whether the statement is true or false. If fx(a, b) and fy(a, b) both exist, then f is differentiable at (a, b). True False Correct: Your answer is correct.

Answers

Answer:

False

Step-by-step explanation:

A function is said to be differentiable over a given region if the function is continuous and has only one value for each input.

Therefore in order to conclude that f is differentiable at (a, b), the partial derivatives must be continuous at (a, b).

It is true that the function has to be defined over a given region because without it, you cannot determine if a partial derivative is continuous or otherwise.

But the fact that the partial derivatives exist at a point is not a sufficient condition for continuity.

Marvin and Ruby had the same number of stickers. After Marvin gave 12 stickers to Ruby, Ruby had 4 times as many as Marvin. How many stickers did Ruby have in the beginning?

Answers

Answer:

20 Tickets

Step-by-step explanation:

Given

Marvin and Ruby had the same number of stickers.

Let

no. of tickets with Ruby = No. of tickets with Marvin = x

condition

Marvin gave 12 ticket to Ruby

Now\

no. of tickets with Ruby = x+12

No. of tickets with Marvin = x-12

Ruby had 4 times as many as Marvin

Thus,

no. of tickets with Ruby = 4* No. of tickets with Marvin

x+12= 4(x-12) = 4x-48

x+12 = 4x-48

adding 48 both sides

x+12 +48= 4x-48+48

x+60 = 4x

subtracting 4 from both sides

x+60 -x= 4x -x

60 = 3x

dividing both side by 3

60/3 = 3x/3

x = 20

Thus, Ruby had 20 tickets in the beginning.

Let P(t) be a population at time t. A simple population model supposes the rate of growth of the population is proportional to the population (a) Express the last sentence in the language of calculus. (b) Solve for P(t) in the equation you found in part (a) (c) Suppose the net birthrate of the population is .1, and the initial population is 100. (i) Find the population at time t 10.(ii) Find when the population is 1000.

Answers

Answer:

[tex](a) \dfrac{dP}{dt} =k P(t)\\(b)P(t)=Ce^{kt}[/tex]

(c)[tex]P(10)\approx 272[/tex]

(ii)[tex]P(1000)\approx 26.88 \times 10^{44}\\[/tex]

Step-by-step explanation:

(a)The rate of growth of the population is proportional to the population, this is written as:

[tex]\dfrac{dP}{dt} \propto P(t)\\$Introducing our proportionality constant, k\\ \dfrac{dP}{dt} =k P(t)[/tex]

(b)

[tex]\dfrac{dP(t)}{P(t)} =k dt\\$Take the integral of both sides\\\int \dfrac{dP(t)}{P(t)} =\int k dt\\\ln P(t)=kt+C, $C a constant of integration\\Take the exponential of both sides\\e^{\ln P(t)}=e^{kt+C}\\P(t)=e^{kt}\cdot e^C $, (Since e^C$ is a constant, we then have:)\\P(t)=Ce^{kt}[/tex]

(c)

Suppose the net birthrate of the population is .1, and the initial population is 100.

k=0.1

P(0)=100

Substitution into P(t) gives:

[tex]100=Ce^{kX0}[/tex]

C=100

Therefore:

[tex]P(t)=100e^{0.1t}[/tex]

(i)When t=10

[tex]P(10)=100e^{0.1 \times 10}\\=271.8\\\approx 272[/tex]

(ii)When t=1000

[tex]P(1000)=100e^{0.1 \times 1000}\\=26.88 \times 10^{44}\\[/tex]

If you shifted y=3x+6 five units to the right, what would the linear equation be? (Hopefully it's challenging and easy at the same time.)

Answers

Answer:

[tex]3x + 6 = y \\ 3x = y - 6 \\ \frac{3x}{3} = \frac{y - 6}{3} \\ x = \frac{y - 6}{3} \\ x = \frac{y}{ 3 } - 2[/tex]

Answer:

y = 3x - 9

Step-by-step explanation:

y = 3x + 6 is a linear equation.

Shift the equation 5 units to the right.

The linear equation becomes:

y = 3x - 9

Create an equivalent system of equations using the sum of the system and the first equation.
-3x + y = 12
x + 3y = 6

Answers

Answer:   -3x +  y = 12

                 -2x + 4y = 18

Step-by-step explanation:

  -3x +  y = 12

+   x + 3y = 6

  -2x + 4y = 18

System of equations is:

-3x +  y = 12

-2x + 4y = 18

Other Questions
I have 56 sweets. I give 2/7 to Adam. I eat 3/8 of the ones I still have. How many sweets do I have left? Simplify by combining like terms -7+d-6+2dPLEASE HELP!!! ASAP!!! A compound has a mass percentage of 53.46% C, 6.98% H, and 39.56% O. What is the empirical formula for this compound What are three ways to prepare effectively for a group discussion? Do any preliminary reading and research. Know the topic and purpose of the discussion. Come ready to ask questions and share opinions. Make a list of tasks to assign to group members. Develop a strategy for winning each of your arguments. Which of the equations are true identities n^3+3n^2 When sugar is added to a sugar solution, the sugar does not dissolve. Whichterm describes the original sugar solution?O A. SemisaturatedO B. SupersaturatedC. SaturatedD. Unsaturated Read this passage from chapter 22 of The Prince. But to enable a prince to form an opinion of his servant there is one test which never fails; when you see the servant thinking more of his own interests than of yours, and seeking inwardly his own profit in everything, such a man will never make a good servant, nor will you ever be able to trust him; because he who has the state of another in his hands ought never to think of himself, but always of his prince, and never pay any attention to matters in which the prince is not concerned. Which statement best summarizes the central idea of this excerpt? A buffer solution is all of the following EXCEPT: a solution that contains both a weak acid and its conjugate base. a solution that resists a change in pH when a base is added. a solution that regulates pH because it is such a strong acid or base. a solution that resists a change in pH when an acid is added. All of the above are true. Throughout the 1920s, the federal government supported the right of workers to organize as unions. experienced a budget decrease, yet an increase in debt. saw an increase in the budget and the national debt. saw leaders of business take prominent positions in the federal government. isolated itself from the business community. which website author is most likely to offer advice based on scientific research.A) A chemist who develops supplementsB) A professor at a well-respected universityC) An activist at a radical nonprofit organizationD) A person with "Dr." in front of his or her name Required information Going on a Business Trip to China Business professionals who are high in cultural intelligence possess skills and attributes to work effectively with members of other cultures. They respect, recognize, and appreciate cultural differences; possess curiosity and interest in other cultures; avoid inappropriate stereotypes; adjust conceptions of time and show patience; manage language differences to achieve shared meaning; understand cultural dimensions; establish trust and show empathy across cultures; approach cross-cultural work relationships with a learner mind-set; and build co-cultures of cooperation and innovation. In this exercise, you evaluate the experiences of an operations manager going to China to examine factories and potentially take bids for some of your company's operations. You will notice differences in communication across cultures and analyze the interactions in terms of cultural intelligence and the following cultural dimensions: individualism and collectivism, egalitarianism and hierarchy, future orientation, assertiveness, and humane orientation. Read the case below and answer the questions that follow. Recently, senior managers at Judith Carey's company concluded that some of the company's operations needed to be produced in lower-wage locations for the company to stay profitable. They placed Judith in charge of learning about options in China, a country she had never visited. After several months of making contacts via phone and email, Judith traveled to China to meet some potential manufacturers. She brought two of her staff members along with her on the trip. She also asked Mei, one of the company's sales representatives in China, to join the group and act as an interpreter. Mei had joined the company's sales department in China two years ago. Because she gained a marketing degree in a Canadian university, Mei's English was excellent. The first stop on the trip would be with representatives of the Shunde Manufacturing (SDM) Company, a potential manufacturer for the company's line of dolls. After a long plane trip and a sleepless night at a hotel in Shanghai, Judith started the first day of work in China tired and slightly disoriented. Her team first met the company's president, Bo Chen, and seven other men from SDM for lunch. Judith was seated next to the company's president for the duration of the two-hour lunch, which included course after course of foods Judith had never seen or eaten before. Judith sampled most of the dishes but was clearly uncomfortable. During the meal, the company president asked Judith, "Ms. Carey, what are your impressions of China?" Judith replied, "Well, Bo, I don't really know too much. I'm not quite used to the air here, with all of the pollution. Of course, I've always known about the one-child policy, but not much else. Do you think the policy is fair?" Bo stated, "China and America must solve their problems in their own ways." Then, he talked about the final dish for the meala fish. He explained that ending the meal with the fish had special symbolism in China and signaled a prosperous future for their relationship. Near the end of lunch, Bo told Judith, "We'll meet for dinner and a reception later at 6 p.m. I've arranged a tour for you this afternoon. Several of our staff members will take you for a walk along the river, to some beautiful Chinese gardens, and to the Shanghai Museum." Judith was a bit dismayed. She wasn't really in the mood for touring. Rather, she wanted to get down to business, but she obliged for the afternoon tour. During the tour, Judith asked Mei, her interpreter, "What should I do this evening to make sure we can talk about business?" Mei replied, "Tonight, you should make friends with President Chen. Give him a nice toast in front of his employees. Enjoy the wonderful food. Tomorrow you can talk about business." That evening, Judith and her team were taken to a large private room at a restaurant. The SDM Company was now represented by more than 20 employees. Judith and Bo spent most of the dinner discussing family and professional experiences. Judith enjoyed the food, gave a toast mentioning "future cooperation" and thanking "President Chen for his hospitality," and even sang karaoke when invited. The next day, Judith arrived at the company's headquarters. She and her team discussed options for a partnership with SDM representatives for the duration of the day. At the end of the day, both parties agreed to continue their conversations in approximately one month. The first day of the visit is largely spent with lavish banquets and events. Which of the following cultural dimensions can best explain this situation? A-future orientation B-assertiveness C-egalitarianism and hierarchy D-individualism and collectivism HighlandsAnalyze the dot plots. What is the approximatedifference between the means of the two data sets tothe nearest whole number?mm2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32Rainfall (mm)Lowlands2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32Rainfall (mm) I'm not good ar graphs requesting assistance... What two reasons did Madison give to argue that the judiciary should be selected differently from the other two branches The length of a rectangle is 3 inches more than three times the width. The perimeter is 62 inches. Find the length and width.Length inwidth. In What does Tea Cakes dialect, or use of nonstandard English, reveal about him? It gives an impression of Tea Cakes mental health. It shows that Tea Cake has a quick temper when speaking. It establishes that Tea Cake lives in the South and may lack formal education. It clarifies Tea Cakes opinion of Mrs. Turner, who uses standard English. answer C Alexa borrowed some money from her friend in order to help buy a new video game system. Alexa agreed to pay back her friend $10 per week and originally borrowed $170. Write an equation for L,L, in terms of t,t, representing the amount Alexa owes her friend after tt weeks. What mode of exporting is Andrea using?Andrea is the CEO of a US company that makes engines. She hires a US overseas trading company to manage her product sales and distribution in Germany. Andrea is using exporting. Suppose the government taxes the wealthy at a higher rate than it taxes the poor and then develops programs to redistribute the tax revenue from the wealthy to the poor. This redistribution of wealth is a. is more efficient and more equal for society. b. is more efficient but less equal for society. c. is more equal but less efficient for society. is less equal and less efficient for society. Bridget drinks three soda during a particular day. The marginal benefits she enjoys from drinking the third soda. a. can be thought of as the total benefit Bridget enjoys by drinking three sodas minus the total benefit she would have enjoyed by drinking just two sodas. b. determines Bridget's willingness to pay for the third soda. c. is likely different from the marginal benefit provided to Bridget by the second soda. Find the next three terms of the geometric sequence 81, 27, 9