what expression is not equivalent to 2/3 x 4

Answers

Answer 1

Answer:

there are no choices given but...

Step-by-step explanation:

this simplifies to 8/3, or 2 2/3

find the choice that isn't either of those ( is also 2.66666 repeating)


Related Questions

The nominal exchange rate is 90 Pakistani rupees per dollar. The price of a shirt in Pakistan is 1800 rupees. The same shirt sells for $25 in the U.S. What is the real exchange rate? Can arbitragers make a profit? If yes, where would they buy and where would they sell?

Answers

The real exchange rate (RER) is 259.2.

Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.

They would make a profit of $5 per shirt.

We have,

The real exchange rate represents the relative price of goods and services between two countries.

It is calculated by adjusting the nominal exchange rate for differences in the price levels of the two countries.

To calculate the real exchange rate between Pakistan and the U.S., we need to convert the price of the shirt in Pakistan into dollars using the nominal exchange rate.

1800 rupees / 90 rupees per dollar = $20

The price of the shirt in Pakistan is $20, and the price of the same shirt in the U.S. is $25.

The real exchange rate (RER) is calculated as:

RER = (Nominal Exchange Rate * Domestic Price) / Foreign Price

RER = (90 rupees per dollar * 1800 rupees) / $25

RER = 6480 / $25

RER = 259.2

The real exchange rate is 259.2, which means that goods in the U.S. are 259.2% more expensive than goods in Pakistan, after adjusting for the exchange rate.

Arbitrageurs can make a profit if the real exchange rate is different from the equilibrium exchange rate.

The equilibrium exchange rate is the exchange rate at which there is no opportunity for arbitrage.

In this case, the real exchange rate of 259.2 is significantly different from the equilibrium exchange rate.

This implies that arbitrageurs can make a profit by buying the shirt in Pakistan for $20 and selling it in the U.S. for $25.

Therefore,

The real exchange rate (RER) is 259.2.

Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.

They would make a profit of $5 per shirt.

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If csc(x) = 2, for 90° < x < 180°, then
sin(x/2)=
cos(x/2)=
tan(x/2)=

Answers

We can start by using the definition of cosecant to find the value of sin(x):

csc(x) = 2 = 1/sin(x)

Solving for sin(x), we get:

sin(x) = 1/2

Next, we can use the half-angle formulas to find the values of sin(x/2), cos(x/2), and tan(x/2):

sin(x/2) = ±√[(1 - cos(x))/2] = ±√[(1 - √(1 - sin^2(x)))/2] = ±√[(1 - √(1 - (1/2)^2))/2] = ±√[(1 - √3/2)/2] = ±√[(2 - √3)/4]

cos(x/2) = ±√[(1 + cos(x))/2] = ±√[(1 + √(1 - sin^2(x)))/2] = ±√[(1 + √(1 - (1/2)^2))/2] = ±√[(1 + √3/2)/2] = ±√[(2 + √3)/4]

tan(x/2) = sin(x/2)/cos(x/2) = [±√(2 - √3)]/[±√(2 + √3)] = (2 - √3)/(2 + √3) = (√3 - 1)/(√3 + 1)

Note that the plus or minus signs in the formulas for sin(x/2) and cos(x/2) depend on the quadrant in which x lies. Since we know that 90° < x < 180°, we can conclude that sin(x/2) and cos(x/2) are both negative. Therefore:

sin(x/2) = -√[(2 - √3)/4]
cos(x/2) = -√[(2 + √3)/4]
tan(x/2) = (√3 - 1)/(1 + √3)

Will give Brainliest and points.
A fair, 6-sided die is rolled 60 times. Predict how many times it will land on a number greater than 2.

60
40
20
two thirds

Answers

40

This is because 4/6 is = 40/60

PLEASE HELP ME SOLVE THIS FOR BRAINILEST

Answers

Answer:

Point B and Point G are opposite rational numbers because they are the same distance away from 0

Step-by-step explanation:

-4/3 and 4/3 are almost the same number, except that -4/3 is a negative rational number, while 4/3 is a positive rational number

The answer essential relates to the absolute value (how far a number is away from 0; always a positive value

We can see that -4/3 and 4/3 are both the same distance away from 0 using the number line

-4/3:

-4/3 is -4/3 units to the left of 0.  To get back to 0, you have to move 4/3 units to the right so it is 4/3 units away from 0, even though it's a negative number

4/3:

4/3 is 4/3 units to the right of 0.  To get back to 0, you have to move 4/3 units to the left, but the value remains positive even though you're moving to the left.  Thus, 4/3 is simply 4/3 units away from 0:

Which of the following is a statistical question that can result in numerical data?
A- How many miles do you travel to get to school each week?
 B-How many hours do the students in your class study each week?
C- Who is the doctor at Pediatric Specialists?
D- How many cars do your grandparents have?​

Answers

Answer: D

Step-by-step explanation:The option that is statistical question that can result in numerical data is D) What is the height of the tallest player on a team?

What is a statistical question?

A statistical question is one that can be answered by gathering varying amounts of data. A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.

Find the indicated vector

Answers

Answer:

  (d)  5i -j

Step-by-step explanation:

You want the value of the expression 2u -v where u=3i and v=i+j.

Substitution

Use the given definitions of u and v, and simplify in the usual way.

  2u -v = 2(3i) -(i+j)

  = 6i -i -j . . . . . . . . . eliminate parentheses

  = 5i -j

__

Additional comment

The unit vectors i and j can be treated as though they were variables. The usual properties of equality and (scalar) arithmetic apply.

What are the coordinates of point c?


(-2.5, 0)

(0, -2.5)

(0, -3)

(-3, 0)

Answers

If you look at the graph c is in between -3 and -2 so it is -2.5 and because is on the solid black like it’s 0 so it would be -2.5,0

Answer A (-2.5 , 0)

Answer:

0, -2.5

Step-by-step explanation:

First find the latitude coordinate (N-S)

=0

2nd find the longitude coordinate (W-E)

=-2.5

since it's between -3 and -2, we'll put a decimal 5 (.5)

full method please

(-9+5)+7×(-3)​please

Answers

Evaluating the expression (-9+5)+7×(-3), we get -25

Evaluating the expression

From the question, we have the following parameters that can be used in our computation:

(-9+5)+7×(-3)

Evaluate the expressions in the bracket

So, we have

-4 + 7 * -3

Evaluate the products

So, we have

-4 - 21

Lastly, we have

-25

Hence, the solution is -25

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Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering
class must have a greater mean IQ score than that of entering classes from previous years. The
administrator tests a random sample of 17 of this year's entering students and finds that their mean IQ score
is 114, with a standard deviation of 15. The college records indicate that the mean IQ score for entering
students from previous years is 113.
Is there enough evidence to conclude, at the 0.05 level of significance, that the population mean IQ score, μ,
of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's
entering class are approximately normally distributed.
Perform a one-tailed test. Then complete the parts below.
(If Rococcan consult a list of

Answers

Answer: The answer is B and im 100% correct

Step-by-step explanation:

a company was offering a special on cell phones for $3 each but only if you spent 5 dollars a month for 2 months how much would it end up costing you total if u bought 1 phone ?

Answers

Answer:

10 dollars

Step-by-step explanation:

5 + 5

Triangle ABC
A
B
C
and triangle DEF
D
E
F
are similar. What is the measure of side DF
D
F
?

Answers

Answer:

DF = 15 cm

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{DF}{AC}[/tex] = [tex]\frac{EF}{BC}[/tex] ( substitute values )

[tex]\frac{DF}{9}[/tex] = [tex]\frac{25}{15}[/tex] ( cross- multiply )

15 DF = 9 × 25 = 225 ( divide both sides by 15 )

DF = 15

Answer:

12

Step-by-step explanation:

1. Use the Pythagorean theorem for triangle ABC

a squared (one side of the triangle) + b squared (another side) = c squared (hypotenuse)

so

c squared - b squared = a squared

225 - 81 = 144 ( Find the square root )

which is 12

since Triangle ABC is the same with Triangle DEF then

DF = 12

Solve the following for θ, in radians, where 0≤θ<2π.
−7cos2(θ)+4cos(θ)+6=0
Select all that apply:

1.07
3.96
0.31
2.32
1.68
2.43

Answers

Answer:correct answers are 3.96

2.32

Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

-7u^2 + 4u + 6 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -7, b = 4, and c = 6. Substituting these values, we get:

u = (-4 ± sqrt(4^2 - 4(-7)(6))) / 2(-7)

u = (-4 ± sqrt(136)) / (-14)

u = (2 ± sqrt(34)) / 7

Therefore, either:

cos(θ) = (2 + sqrt(34)) / 7

or:

cos(θ) = (2 - sqrt(34)) / 7

Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse cosine function:

θ = arccos((2 + sqrt(34)) / 7)

θ = arccos((2 - sqrt(34)) / 7)

Using a calculator, we find:

Rectangle LMNP is similar to rectangle WXYZ.
The length of LM is 19 in, the area of rectangle LMNP is 140.6 in2, and the length of XY is 2.22 in.
What is the difference between the perimeters of the two rectangles?
A. 31.96 in
B. 36.96 in
C. 15.84 in
D. 41.96 in

Answers

The required, difference between the perimeters of the two rectangles is,

⇒ 46.03 in.

Since, rectangles LMNP and WXYZ are similar, their corresponding sides are proportional. Let's denote the scale factor as k.

Then, We get:

k = XY / LM

k = 2.22 / 19

To find the value of k, we can divide 2.22 by 19:

k ≈ 0.117

Hence, The area of rectangle LMNP is given as,

140.6 in².

We can use this to find the length of NP:

LM x NP = area of LMNP

19 x NP = 140.6

NP ≈ 7.4 in

Since, the sides of WXYZ are proportional to those of LMNP, we can find the length of YZ:

XY / YZ = LM / NP

2.22 / YZ = 19 / 7.4

YZ ≈ 1.167 in

Now we can calculate the perimeters of both rectangles:

Perimeter of LMNP = 2(LM + NP) = 2(19 + 7.4) = 52.8 in

Perimeter of WXYZ = 2(XY + YZ) = 2(2.22 +1.167) = 6.77in

Thus, The difference between the perimeters is:

52.8 - 6.77 = 46.03 in

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Describe and correct the error in simplifying the expression.
(2e^-3x)^4= 1/16e^12x

Answers

The correct solution of the expression is,

⇒ 16 / e¹²ˣ

We have to given that;

The value of Expression is,

⇒ (2e⁻³ˣ)⁴

Now, We can simplify as;

⇒ (2e⁻³ˣ)⁴

⇒ 2⁴ × e⁻¹²ˣ

⇒ 16e⁻¹²ˣ

⇒ 16 / e¹²ˣ

Thus, The correct solution of the expression is,

⇒ 16 / e¹²ˣ

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Find the value of x,y and z in the rhombus below

Answers

Answer:

-10x - 8 + 98 = 180

-10x + 90 = 180

-10x = 90

x = -9

-y - 5 = 98

-y = 103

y = -103

-2z + 8 + 98 = 180

-2z + 106 = 180

-2z = 74

z = -37

Give the equation of the circle centered at the origin and passing through the point (0, 6).

Answers

The equation of circle is x² + y² = 36.

We have,

Center= (0, 0)

Passing point = (0, 6)

We know the equation of circle is

(x-h)² + (y-k)² = r²

where (h, k) be the center and r be the radius.

Now, the radius of circle is

= √(6-0)² + (0-0)²

= √36

= 6 unit

So, the equation of circle

(x-0)² + (y-0)² = 6²

x² + y² = 36

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looking for answer and explination

Answers

1) Note the the linearization of th function f(X) at a =1 is l(x) = 2x-3
2) since l(x) = 2x-3, f(1.01) is = - 0.98

what is linearization?

Linearization is the process of converting a nonlinear function's gradient with respect to all variables into a linear representation at that moment.

for the  above prompt , we have to use the formula:

l (x) =  f(a) + f' (a) (x-a)

where  (a) is the value fo the function at point a

and f' (a)  is the derivative of the function evaluated at point  a.


Using a =  1, f(a) becomes:


f(1)  = 2 (1) ⁵ - 8 (1) + 5

f (1) =-1


f(x) = 10x⁴ -8

So f' (1 ) when evalutated will give us the slope of the tangent line at x =1

Thus,


f (1 ) = 10 (1)⁴ -8

= 2

Hence substituting all the values into th e linearization formula we get:

l(x) = f( 1) + f '(1) (x-1)

= -1 + 2 *( x-1 )
= -1 + 2x - 2
= 2x -3

This means that the linearization of the function f(x ) at a= 1 is l(x) = 2x-3


b) Given the l(x) above, f(1.01) gives us:

l(x) = 2x -3
= 2 (1.01) -3
= - 0.98

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plot the point whose polar cord are (3, -135 degrees) pick graph below

Answers

The plot of the given point must be at.

the third circle and at the 9th ray clockwise from the positive x-axis.

How to plot the point in polar coordinates?

Here we want to plot the point (3, -135°).

Remember that a point whose polar coordiantes are (R, θ) must be ploted along the circumference of a circle of radius R, at the angle θ measured counterclockwise from the positive x-axis.

Then here we need to have a circle of radius of 3 units, and plot the point at -135° from the positive x-axis.

Now, each of the rays has 15° on it, then the point should be graphed on the third circle (radius of 3 units) and at the 9th ray clockwise from the positive x-axis (clockwise because the angle is negative, and 9th ray because 9*15 = 135)

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a principle has given a class 75 dollars to help pay for a field trip to the zoo

Answers

Answer:

5p + 75> 386

Step-by-step explanation:

principal has given $75

Total cost of trip = $386

price of a pie = $5

5p + 75 ≥ 386

Rewrite the following in the form log(c). log(5) + log(2)

Answers

Answer:

log(10)

Step-by-step explanation:

We can use the product property for logarithms:

log(a)+log(b)=log(ab)

In our case, a=5 and b=2. We can multiply a and b now to get the new number we're taking the logarithm of.

log(2)+log(5)=log(2×5)=log(10)

a certain forest covers an area of 1700km^(2). Suppose that each year this area descreases by 7.5%. What will the area be after 11 years?

Answers

Answer: y= 1700 (1- .0325) ^15= 1700(.9675) ^15=1700(.60920660)= 1035.65 km Hope this helps!

Step-by-step explanation:To calculate the area of the forest after 5 years, we need to use the formula:

A = A0 * (1 - r/100)^t

PLEASE MARK BRAINLIST

Find the value of x 30 degrees and 50 degrees

Answers

Answer: I think its 1500x

Step-by-step explanation: I multiplied them both.

Hope it helped :D

Answer:

1500000000000

Step-by-step explanation:

i don't know how but the answer is pretty easy but I don't feel like it so yeah there's

11 zero s

Please anwser this is all the points I have :)

Answers

Check the picture below.

so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?

[tex]\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2[/tex]

Answer: Large

Step-by-step explanation:  Hope it helps Good luck!!!

where does the food go when you eat​

Answers

Answer:

down your esophagus into your stomach

Step-by-step explanation:

After you swallow, peristalsis pushes the food down your esophagus into your stomach. Stomach. Glands in your stomach lining make stomach acid and enzymes that break down food. Muscles of your stomach mix the food with these digestive juices.

You pick a card at random.
1 2 3
What is P(divisor of 54)?
Write your answer as a percentage.
%

Answers

The probability in percentage form is P(divisor of 54) = 29.6%

How to find the probability?

The divisors of 54 are:

2, 3, 6, 9 (in the range we care)

Now, in a standard deck there are 52 cards, we have 4 sets, and each of these sets has one of each of the values above.

So out of the 52 cards, there are 4*4 = 16 divisors of 54, then the probability is:

P(divisor of 54) = 16/54

P(divisor of 54) = 0.296

To write it as a percentage just multiply it by 100%.

P(divisor of 54) = 0.296*100% = 29.6%

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What is the amount of your employer's contributions if the company matches 50% of the first 4% of your salary, and you make $72,000 a year?

O $1,440.00
O $1,000.00
O $2,880.00
O $36,000.00

Answers

To calculate this, we need to find 4% of the salary and then find 50% of that amount.

4% of $72,000 is:

$72,000 x 0.04 = $2,880

50% of $2,880 is:

$2,880 x 0.5 = $1,440

Therefore, the employer's contribution would be $1,440.00. Option A is the correct answer.
To calculate this, we need to find 4% of the salary and then find 50% of that amount.
4% of $72,000 is:
$72,000 x 0.04 = $2,880
50% of $2,880 is:
$2,880 x 0.5 = $1,440
Therefore, the employer's contribution would be $1,440.00. Option A is the correct answer.

Computer systems analysts
Database administrators
Computer software engineers,
systems software
Gaming and sports book writers
and runners
Environmental science and
protection technicians, including
health
Manicurists and pedicurists
Physical therapists
Physician assistants
504
650
119 154
350 449
18 24
36
78
47
100
220
29.0
28.6
28.2
28.0
28.0
27,6
27.1
146
34
99
5
10
22
47
18
Bachelor's degree
Bachelor's degree
Bachelor's degree
Short-term on-thi
Associate degree
Postsecondary vocational award
Master's degree
Master's degree
173
66
83
27.0
Based on the above table, what is the fastest growing listed occupation for those without a college degree?
a. Gaming and sports book writers and runners
b. Dental assistants
c. Marriage and family therapists
d. Manicurists and pedicurists

Answers

Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.

Therefore option A is correct.

What is a college degree?

The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.

With reference to the table, the occupations that do not require a college degree are:

Gaming and sports book writers and runnersEnvironmental science and protection technicians, including healthManicurists and pedicurists

We were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.

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Given X = [b a / 4 a] , Y = [c d / a b] , and Z= [a c / 16 b]
What is Y if X-2Y=Z?
[2 -4/ -6 -2]
[4 -8/ -12 -4]
[-4 8/ 12 4]
[12 0/ 12 -12]​

Answers

Answer:

[2 -4/ -6 -2]

Step-by-step explanation:

To solve for Y, we need to rearrange the equation X-2Y=Z to isolate Y.

X - 2Y = Z

2Y = X - Z

Y = (X - Z)/2

Now we substitute the given matrices for X and Z, and solve for Y:

X =

[b  a

4  a]

Z =

[a   c

16  b]

X - Z =

[b-a   a-c

-12   a-b]

Y = (X - Z)/2 =

[(b-a)/2  (a-c)/2

-6       (a-b)/2]

So the answer is Y = [ (b-a)/2, (a-c)/2 / -6, (a-b)/2 ].

Therefore, the answer is (a) [2 -4/ -6 -2].

The calculated value of the matrix Y is [tex]Y = \left[\begin{array}{cc}2&-4\\-2&-6&\end{array}\right][/tex]

Calculating the matrix Y

From the question, we have the following parameters that can be used in our computation:

The matrix definitions

Given that

X - 2Y = Z

So, we have

b - 2c = a

a - 2d = c

4 - 2a = 16

a - 2b = b

So, we have

4 - 2a = 16

-2a = 12

a = -6

Next, we have

a - 2b = b

-6 - 2b = b

3b = -6

b = -2

Next, we have

b - 2c = a

-2 - 2c = -6

-2c = -4

c = 2

Lastly. we have

a - 2d = c

-6 - 2d = 2

-2d = 8

d = -4

The matrix Y is given as

[tex]Y = \left[\begin{array}{cc}c&d\\b&a&\end{array}\right][/tex]

So, we have

[tex]Y = \left[\begin{array}{cc}2&-4\\-2&-6&\end{array}\right][/tex]

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Después de analizar un conjunto de datos se encontró que la desviación estandar es igual a 9, se requiere conocer
ahora, el valor de la varianza

Answers

The variance of the data-set in this problem is given as follows:

81 units squared.

How to obtain the variance of the data-set?

The standard deviation for the data-set in this problem is given as follows:

9 units.

The relation between the standard deviation and the variance is that the standard deviation is the square root of the variance, hence the variance is the square of the standard deviation.

Hence the variance of the data-set in this problem is given as follows:

(9 units)² = 81 units².

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Which function represents the graph of f(x) = -4 lxl after it is translated 3 units down?

A.g(x) = -4 lxl + 3

B. g(x) = -4 lxl - 3

C. g(x) = -4 lx + 3|

D. g(x) = -4 lx - 3l

Answers

Answer:

B

Step-by-step explanation:

When translating in the y-axis, we want to add or subtract our value outside of the function, or in this case, outside of the modulus.

We want to move 3 units down, or 3 units in the negative direction. Therefore, we take 3 away from the function.

Answer B.

Other Questions
PLEASE HELPRead the questions and answer in complete sentences in French:Combien de soeurs as-tu?Quel ge a ton pre? quelle heure as-tu faim?Est-ce qu'elle a besoin de lunettes de soleil pour aller la plage?Est-ce que ton frre a peur des insectes?Est-ce que tes amis et toi avez sommeil aprs l'cole? 65 yo M presents with worsening coughover the past six months together withhemoptysis, dyspnea, weakness, andweight loss. He is a heavy smoker. What the diagnose? what 7 types of drugs are included in sedative, hypnotic, and antianxiety medication use disorder? (BBCBBPA) What have you got there? asked his"Romeo and Julia, arranged for the piano. Do you know it?""Yes, of course I do," she replied, "but I don't remember ever having seen it on the stage.""Oh! It's splendid! To me it is like a dream of my vouth. but I've only heard it once, and that was about twenty years ago."How might a live action performance of the story help the audience better understand the characters?O A.by allowing the audience to follow the conversations between the charactersB. by allowing the audience to hear the music the characters are reacting toOC. by allowing the audience to understand the characters' interactionsOD. by allowing the audience to see the characters when they were youngResetNext In your own words, explain the paradox "benevolent deception." Auditing standards require that the engagement team members engage in discussion about the risk of material misstatement. Describe the nature of this required discussion and who should be involved. Which of the following is not believed to have been a component of the early Earth's atmosphere?a. N2 (nitrogen gas)b. H2 (hydrogen gas)c. CO2 (carbon dioxide)d. O2 (oxygen gas) 28 yo F presents with pain in themetacarpophalangeal joints of bothhands. Her left knee is also painful and red. She has morning joint stiffness that lasts for an hour. Her mother had rheumatoid arthritis. What the diagnose? there are a set of restrictive conditions that reits must satisfy on an ongoing basis in order to maintain their special tax status. all of the following statements regarding the main restrictions are true except a. a reit must distribute at least 75% of its taxable income to shareholders in the form of dividends. b. at least 75 percent of the value of a reit's assets must consist of real estate assets. c. at least 100 investors must own a reit's shares. d. no five investors can own more than 50 percent of a reit's shares. Brief Exercise 17-9 (Algo) Pension expense [LO17-6] The projected benefit obligation was $260 million at the beginning of the year. Service cost for the year was $30 million. At the end of the year, pension benefits paid by the trustee were $16 million and there were no pension-related other comprehensive income (OCI) accounts requiring amortization. The actuarys discount rate was 5%. The actual return on plan assets was $15 million although it was expected to be only $14 million. What was the total pension expense for the year? calculate the mass, in grams, of each of the following. 3.15 mol agno3 0.0901 mol cacl2 11.86 mol h2s g Molecules are ________.A) two or more atoms held together by chemical bondsB) a chemical that cannot be broken or separatedC) basic subunits of elementsD) atoms of an elementE) positively charged particles what makes mr andrew pennington angry? and what does he decide to do? Nevilles Pillow Store sells pillows with a sales price of $25 each. Each pillow costs the company $15 to produce, and the store incurs a total of $100,000 in fixed costs each year.What is the yearly breakeven point in units?Group of answer choicesA. 6,667 pillowsB. 15,000 pillowsC. 10,000 pillowsD. 4,000 pillows A playhouse is in the shape of a regular octagonal pyramid with a side length of 3 feet and a slant height of 12 feet. The wood used to build the walls of the playhouse costs $4 per square foot. What is the cost of the wood for the walls of the playhouse? Which anthropologist advocated most explicitly for "thick description"?a.Clifford Geertzb.Ruth Benedictc.Bronislaw Malinowskid.Margaret Mead T/F:the presence of an STD infection such as chlamydia or gonorrhea increases the risk for HIV infection, and HIV may also increase the risk for other STDs PLEASE HELP Which of the following sentences is written in indicative mood? If the coach would give a pep talk, then the team would play better. The team plays much better after a pep talk from their coach. Will the team play better after a pep talk from their coach? If I were the coach, I'd give the team a pep talk. 2-1/3-2/+1 in its simplest fraction In recent years, many liberal politicians have endorsed which of the following changes to the Medicare program?A.making Medicare available to everyone in the country B.raising the Medicare eligibility ageC. making Medicare a means-tested program available only to low income seniorsD.eliminating the employee share of the payroll tax that supports Medicare