In this diagram, BAC – EDF. If the
area of BAC = 24 in2, what is the
area of EDF?
Help please

In This Diagram, BAC EDF. If Thearea Of BAC = 24 In2, What Is Thearea Of EDF?Help Please

Answers

Answer 1
The triangles are congruent. So.

Triangle ABC is 24 inch^2 and BC is 4 inches.
The area of a triangle is 0.5 x base x height. The will be 12 because 12 x 4 x 0.5 which equals 24.

Triangle DEF is half the size of ABC because bc is 4 and EF is 2 showing it’s half. This then means the height will be half which then mean it will be 6.

This then means we can use the equation to work it out. So. 6 x 0.5 x 2 = 6in^2

The answer is 6inches^2
Answer 2

If the area of ΔBAC = 24 in², the area of ΔEDF is 6 in².

What are similar triangles?

If two triangles' angles are congruent and their corresponding sides are proportionate, they are considered similar. To put it another way, similar triangles are the same in shape but not necessarily in size. If ΔPQR and ΔMNO are two similar triangles, then we can write it as ΔPQR ∼ ΔMNO.

Statement:

The square of the ratio of any pair of their respective sides is equal to the ratio of the areas of two similar triangles.

How to solve this problem?

Since ΔBAC ∼ ΔEDF, we can use the above statement to find the area of ΔEDF. Let the area of ΔEDF be x in². Given that length of EF and BC is 2 in and 4 in respectively.

So, we have to solve this equation,

24/x = 4²/2²

Now, 24/x = 16/4

i.e. 24/x = 4

i.e. 4x = 24

i.e. x = 24/4 = 6

Therefore the area of ΔEDF is 6 in².

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Related Questions

Mr. Dylan asks his students throughout the year to record the number of hours per week they spend practicing math at
home. At the end of the year, he creates a scatter plot that models the relationship between exam score and time spent
practicing. Which line of best fit will give Mr. Dylan the most accurate linear equation in order to make predictions about
this relationship?​

Answers

Answer:

  see the attachment

Step-by-step explanation:

A "line of best fit" generally has about as much data above the line as below it. If the data has any trend, it generally follows the trend.

The best choice here is B.

Answer:Answer:

 see the attachment

Step-by-step explanation:

A "line of best fit" generally has about as much data above the line as below it. If the data has any trend, it generally follows the trend.

The best choice here is B.

Step-by-step explanation:

Display the values of the function in two​ ways: ​(a) by sketching the surface zequals=f (x comma y )f(x,y) and ​(b) by drawing an assortment of level curves in the​ function's domain. Label each level curve with its function value.

Answers

Answer:

(1)  f(x,y) = 1-|x|-|y|

(a) 3d figure attached

(b) 2d figure attached

(2) f(x,y) = 6-2x-3y

(a) 3d figure attached

(b) 2d figure attached

Step-by-step explanation:

The Function is not given in the question. Lets solve this for 2 common function for the internet. Hopefully it can solves the given problem

(1)  f(x,y) = 1-|x|-|y|

(2) f(x,y) = 6-2x-3y

All the figures are labelled to avoid confusion. (a) part of both functions have 3D sketches. (b) part of both functions have 2d sketches

please help !!!
Find the probability that x = -10​

Answers

Answer:

20%

Step-by-step explanation:

Use the table provided... it says -10 is .2 which is the same as 20%

Answer:

0.20

Step-by-step explanation:

requires decimal not percentage

Hey what’s the correct answer for this?

Answers

Answer:

A

Step-by-step explanation:

Well first find the proportion of the sector of the major Arc(shaded area) and then Multiply by area of the circle πr²

Can someone plz help me solved this problem I need help plz help me! Will mark you as brainiest!

Answers

Answer:

Step-by-step explanation:

let s note a and b

x = ap+b

we can write two equations

(1) 300=3a+b

(2) 450=1.5a+b

multiply by 2 the (2) we got

900 =3a+2b

minus (1) it gives

900 - 300 = 3a+2b-3a-b = b

so b = 600

and from (1) it gives 3a = 300-600 = -300

so a = -100

then

x=-100p+600

thanks

Assume that random guesses are made for nine multiple choice questions on an SAT​ test, so that there are nequals9 ​trials, each with probability of success​ (correct) given by pequals0.55. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4.

Answers

Answer:

[tex]P(X=0)=(9C0)(0.55)^9 (1-0.55)^{9-0}=0.000757[/tex]

[tex]P(X=1)=(9C1)(0.55)^9 (1-0.55)^{9-1}=0.0083[/tex]

[tex]P(X=2)=(9C2)(0.55)^9 (1-0.55)^{9-2}=0.0407[/tex]

[tex]P(X=3)=(9C3)(0.55)^9 (1-0.55)^{9-3}=0.1160[/tex]

And adding we got:

[tex] P(X < 4) = 0.000757 +0.0083+0.0407 +0.1160= 0.2626[/tex]

Step-by-step explanation:

Let X the random variable of interest "number of correct answers", on this case we now that:

[tex]X \sim Binom(n=9, p=0.55)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex] P(X < 4) =P(X=0) +P(X=1) +P(X=2) +P(X=3) [/tex]

And we can find the individual probabilities:

[tex]P(X=0)=(9C0)(0.55)^9 (1-0.55)^{9-0}=0.000757[/tex]

[tex]P(X=1)=(9C1)(0.55)^9 (1-0.55)^{9-1}=0.0083[/tex]

[tex]P(X=2)=(9C2)(0.55)^9 (1-0.55)^{9-2}=0.0407[/tex]

[tex]P(X=3)=(9C3)(0.55)^9 (1-0.55)^{9-3}=0.1160[/tex]

And adding we got:

[tex] P(X < 4) = 0.000757 +0.0083+0.0407 +0.1160= 0.2626[/tex]

Which is an irrational number?​

Answers

Answer: THE SECOND ONE

Step-by-step explanation:

Answer: the second one

Step-by-step explanation:

Which is the value of this expression when a = negative 2 and b = negative 3? (StartFraction 3 a Superscript negative 3 Baseline b squared Over 2 a Superscript negative 1 Baseline b Superscript 0 Baseline EndFraction) squared

Answers

Answer:

  27/8

Step-by-step explanation:

You seem to want to evaluate ...

  [tex]\dfrac{3a^{-3}b^2}{2a^{-1}b^0}[/tex]

I like to simplify the expression first, even though the order of operations would have you evaluate it as is.

  [tex]=\dfrac{3}{2}a^{-3-(-1)}b^{2-0}=\dfrac{3b^2}{2a^2}[/tex]

Substitute the given values for "a" and "b" and do the arithmetic.

  [tex]=\dfrac{3(-3)^2}{2(-2)^2}=\dfrac{3\cdot 9}{2\cdot 4}=\boxed{\dfrac{27}{8}}[/tex]

Patrick’s luck had changed over night – but not his skill at mathematical reasoning. The day after graduating from college he used the $20 that his grandmother had given him as a graduation gift to buy a lottery ticket. He knew his chances of winning the lottery were extremely low and it probably was not a good way to spend this money. But he also remembered from the class he took in business analytics that bad decisions some-times result in good outcomes. So he said to himself, "What the heck? Maybe this bad decision will be the one with a good outcome." And with that thought, he bought his lottery ticket.The next day Patrick pulled the crumpled lottery ticket out of the back pocket of his bluejeans and tried to compare his numbers to the winning numbers printed in the paper. When his eyes finally came into focus on the numbers they also just about popped out of his head. He had a winning ticket! In the ensuing days he learned that his share of the jackpot would give him a lump sum payout of about $500,000 after taxes. He knew what he was going to do with part of the money, buy a new car, pay off his college loans, and send his grandmother on an all expenses paid trip to Hawaii. But he also knew that he couldn’t continue to hope for good outcomes to arise from more bad decisions. So he decided to take half of his winnings and invest it for his retirement. So what do you think? Who is right, Josh or Peyton? And more important, why?

Answers

Answer:

I assume Josh and Peyton are his friends and both gave him advice on what to do with half of the money from the big lottery win.

Let's say Josh said "save it or invest it for your retirement" and Peyton said "use it to keep playing the lottery.

We will now look at the sense in each piece of advice!

Step-by-step explanation:

JOSH

By investing the $250,000 (half of the money won), Patrick will be sure that the money is available for him anytime and would even have gotten interest, by the time he's ready to use it.

PEYTON

By playing the lottery continuously, Patrick could get lucky once in a while and win big again. How big though?

Analyzing with the figures given,

$20 gets Patrick a lottery ticket.

$250,000 will get him 12,500 lottery tickets!

Whether he's buying the tickets at once or he'll play the lottery once in a while, I'll say he has good chances of winning big again.

So if the probability of winning big after purchasing up to 12,500 tickets is close to 1, Patrick should play the lottery with the $250,000

If the probability of winning big after purchasing 12,500 lottery tickets is close to 0 (closer to 0 than it is to 1) then Patrick should invest the $250,000 in retirement.

8. Peter and his partner are conducting a physics experiment on pendulum motion. Their 30-cm


pendulur traverses an arc of 15 cm. To the nearest degree, how many degrees of rotation did


the pendulum swing?

Answers

Answer: 90/pi degrees

Step-by-step explanation:

It forms a 15cm arc from a circle of radius 30 cm.

The diameter is 30*2*pi = 60pi cm. So the arc is 15/60pi = 1/4pi of the way around a 360 degree circle. This is 1/4pi * 360 = 90/pi degrees.

Hope that helped,

-sirswagger21

The pendulum will swing 28.68° if the 30-cm pendulum traverses an arc of 15 cm.

What is a circle?

It is defined as the combination of points that, and every point has an equal distance from a fixed point (called the center of a circle).

We know that relationship between arc length s and central angle θ:

s = rθ

Where r is the radius of the circle

We have s = 15 cm

r = 30 cm

15 = (30)(θ)

θ = 0.5 radians

To convert it to a degree, multiply it by 180/π

θ = 0.5(180/π)

θ = 28.647 ≈ 28.68°

Thus, the pendulum will swing 28.68° if the 30-cm pendulum traverses an arc of 15 cm.

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Which equation can be used to determine the distance between the origin and (–2, –4)? d = StartRoot ((0 minus 2) + (0 minus 4)) squared EndRoot d = StartRoot (0 minus (negative 2)) squared + (0 minus (negative 4)) squared EndRoot d = StartRoot ((0 minus 2) minus (0 minus 4)) squared EndRoot d = StartRoot (0 minus (negative 2)) squared minus (0 minus (negative 4)) squared EndRoot

Answers

Answer:person up top is right it’s B

Step-by-step explanation: on edg 2020

Answer:

The answer is B

Step-by-step explanation:

lol yw guys

Which rule describes the translation?
5
B
С
(x, y) - (x - 8, y-3)
O (x, y) — (x - 3, y + 8)
O (x, y) = (x + 8, Y-3)
O(x, y) = (x + 3, y + 8)
B'
A
5
D
A
D
5


Answers

Answer:

look to rule number five

Step-by-step explanation:

Rule Number 5 best explains the answer

y=5•(0)
Which graph represents the function
?

Answers

Answer:
The graph that represents the function should look like the image I attached. To graph the function simply multiply five by zero to find the value of y. Once you see that the value of y is zero graph the y-intercept at (0, 0). Finally, you draw a horizontal line from the y-intercept.

Please help :( : Solve the equation 3x + 5y = 15 for y

Answers

Answer:

y = -3/5 x +3

Step-by-step explanation:

3x + 5y = 15

Subtract 3x from each side

-3x+3x + 5y = -3x+15

5y = -3x+15

Divide each side by 5

5y/5 = -3x/5 +15/5

y = -3/5 x +3

The ability of ecologists to identify regions of greatest species richness could have an impact on the preservation of genetic diversity, a major objective of the World Conservation Strategy. A study used a sample of n = 33 lakes to obtain the estimated regression equation
y = 3.89 + 0.033x1 + 0.024x2 + 0.023x3 − 0.0080x4 − 0.13x5 − 0.72x6
where y = species richness, x1 = watershed area, x2 = shore width, x3 = poor drainage (%), x4 = water color (total color units), x5 = sand (%), and x6 = alkalinity.
The SSR and SSE have been calculated to be:_________.
SSR = 752.25 and SSE = 300.9.

Answers

ANSWER:

I believe you wish to calculate the sum of squares total (SST) for this regression analysis. The sum of squares total is 1053.15

Step-by-step explanation:

The sum of squares total is numerically derived by adding the sum of squares regression (regression sum of squares) to the sum of squares error (error sum of squares). The regression sum of squares here is 752.25 and the error sum of squares is 300.9

This gives us a total sum of squares of 1053.15

Sums of squares tell if a linear regression of one variable (or variables) on another is good or not.

The squared differences between the observed dependent variable and its mean is a measure of the total variability of the data set.

So the SST is equal to 752.25 + 300.9 = 1053.15

Which formula can be used to describe the sequence? - 2/3, -4, -24, -144

Answers

Answer:

They are all multiplied by 6

Answer:

Geometric sequence.

Step-by-step explanation:

Here are the terms :

-2/3, -4, -24, -144

Now the first term T1 = -2/3

The second Term T2 = -4

But T2/T1 = -4÷ -2/3 = -4 x -3/2 = 6

Similarly Term 3, T3 = -24

T3/T2 = -24/-4= 6

Hence the expression is a geometric sequence.

a×r^(n-1); a is the first term

r is the common ratio 6

n is the number of terms.

Please help! Correct answer only, please! Consider the following table. A movie theatre is planning to increase each of their various ticket prices by $2. Which informational matrix operation below would correctly increase of their prices ticket prices by $2? A. B. C. D.

Answers

Answer: D

Step-by-step explanation:

In order to increase each ticket by $2, you are ADDING 2 to each value.

So you create a matrix of all 2's and add that to the given matrix.

[tex]\left[\begin{array}{cc}2&2\\2&2\\2&2\end{array}\right] +\left[\begin{array}{cc}8&10\\12&16\\6&8\end{array}\right]\quad =\quad \large \left[\begin{array}{cc}10&12\\14&18\\8&10\end{array}\right][/tex]

Answer:

Unit 8 test answers

Step-by-step explanation:

1: a.)3x4

2:b.)

3:a.)

4:b.)

5:c.) matrix CD would have the dimensions 7x7

6: a.)

7:67

8:c.)

9:b.) Scott sold 1 van

10:d.)

A tree diagram is simply a way of representing a sequence of events. True or False.

Answers

Answer:

True.

Step-by-step explanation:

A tree diagram is a diagram used in general mathematics, statistics, and probability to show a sequence of events. This tool is used to calculate the number of possibilities of an event to occur. Commonly, the tool of a tree diagram is used to find the possibility of outcome while flipping a coin. It is a diagram in which connections between the events is shown using the strucure of branching connecting lines.

So, the given statement is true, that is a simple way of showing events in a sequence.

Consider the relation S(x, y) : x is a brother or sister of y on the set, H, of living humans. (For the purposes of this problem, a sibling of a person means another person with the same two parents, so don’t consider half siblings.) Determine which of the three properties, reflexive, symmetric, transitive, hold for the relation S (explain your three answers). Is S an equivalence relation on H?

Answers

Answer:

- Not reflexive

- Symmetric

- Transitive

Step-by-step explanation:

- A person is not a sibling of himself so the relation is NOT reflexive

- If a person is a sibling of an other person, the other person is a sibling of the person. Therefore the relation is SYMMETRIC

- If a person A is a sibling of B, and a person B is a sibling of C then, person A is a sibling of person C. Therefore the relation is TRANSITIVE.

2- = - 6 – 4.0
Solve for x:

Answers

Answer:

Step by Step explanation

Which side will require the use of the distance formula to find the length?

Answers

Answer:

CD

Step-by-step explanation:

For all sides except CD, you do not need the distance formula, since they are vertical or horizontal, meaning that you can find their length simply through subtraction. However, with side CD, since it is diagonal, you need to form a right triangle with to solve its length. Hope this helps!

The hypotenuse of a right triangle is 95 inches long. One leg is 4 inch(es) longer than the other. Find the lengths of the legs of the triangle. Round your answers to the nearest tenth of an inch.

Answers

Answer:

65.1 and 69.1

Step-by-step explanation:

a^2+b^2=c^2

c=95

b=a+4

Solve for a^2+(a+4)^2=95^2

a=65.1

b=a+4=69.1

Answer:

65.1 and 69.1

Step-by-step explanation:

c² = a² + b²

c= 95

a - one leg

b= (a + 4) - second leg

95² = a² + (a + 4)²

9025 = a² + a² + 2*4a + 16

2a² + 8a - 9009 = 0

[tex]a= \frac{-b +/-\sqrt{b^2 - 4ac} }{2a} \\\\a = \frac{-8 +/-\sqrt{8^2 - 4*2*9009} }{2*2} \\\\a=65.1 \ and \ a=- 69.1[/tex]

A leg length can be only positive. a = 65.1

b = 65.1 + 4 = 69.1

Select the linear function that describes the relationship between the domain and
range in the table below.
x fx)
-15
03
1 1

Answers

The linear function that describes the table is f(x) = -2x + 3

How to find linear function?

The linear function of an equation can be found as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore, using the table

b = 3

using (1, 1)

1 = m + 3

m = -2

Therefore, the function that represent the table is as follows:

f(x) = -2x + 3

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Answer:  f(x) = -2x + 3

Step-by-step explanation:

I was confused on how to go about this.

Find the area of the triangle.

Answers

A = 14 m^2

Step-by-step explanation:

The equation for the area of a triangle is...

[tex]A=\frac{1}{2}bh[/tex]

For this we need the base and the height. Looking at the picture, we can see that the height is 4. The base is split into 2 parts, so we just need to add the 3 and the 4 together, that will make our base 7. Now we can plug these into the equation, but I'm also just going to make the 1/2 a 0.5.

[tex]A=0.5*4*7[/tex]

[tex]A=[/tex]

14 m^2

Round 8326 to the nearest hundred

Answers

Answer:

The answer is 8300.

Step-by-step explanation:

1) We round the number up to the nearest hundred, if the last two digits in the number are 50 or above.

2) We round the number down to the nearest 100 if the last two digits in the number are 49 or below.

3) If the last two digits are 00, then we do not have to do any rounding because it is already to the hundred.

If we divide the numerator and denominator of (6/8) by 2, will its value be changed?
(50 points)
1.No
2.Yes
3.sometimes
4.Maybe

Answers

Answer:

Step-by-step explanation:

6/8 in simplest form is 3/4 but value is still the same so

1. no

What’s the correct answer for this question?

Answers

Answer:

B:

Step-by-step explanation:

If we rotate the 3-D figure around y-axis we'll obtain a cone with a radius of 3 units

1.solve for x 3x - 2 = 3 - 4x

Answers

Answer:

[tex]x=\frac{5}{7}[/tex]

Step-by-step explanation:

[tex]3x - 2 = 3 - 4x[/tex]

Add [tex]2[/tex] and [tex]4x[/tex] on both sides of the equation.

[tex]3x - 2 +2+4x= 3 - 4x+2+4x[/tex]

[tex]3x+4x=-4x+5+4x[/tex]

[tex]7x=5[/tex]

Divide [tex]7[/tex] on both sides of the equation.

[tex]\frac{7x}{7}=\frac{5}{7}[/tex]

[tex]x=\frac{5}{7}[/tex]

(04.03 MC)

Alex is planning to surround his pool ABCD with a single line of tiles. How many units of tile will he need to surround his pool? Round your answer to the nearest hundredth.

A coordinate plane with quadrilateral ABCD at A 0 comma 3, B 2 comma 4, C 4 comma 0, and D 2 comma negative 1. Angles A and C are right angles, the length of segment AB is 2 and 24 hundredths units, and the length of diagonal BD is 5 units.

8.96
10.48
13.42
20.42

Answers

The units of tile will he need to surround his pool is 13.42

The given parameters are:

[tex]AB =2.24[/tex]

[tex]BD =5[/tex]

Start by calculating the distance BC using the following Pythagoras theorem

[tex]BD^2 = AB^2 + BC^2[/tex]

So, we have:

[tex]5^2 = 2.24^2 + BC^2[/tex]

[tex]25 = 5 + BC^2[/tex]

Collect like terms

[tex]BC^2 = 25 - 5[/tex]

[tex]BC^2 = 20[/tex]

Take the square roots of both sides

[tex]BC = 4.47[/tex]

The unit of tiles is then calculated using the following perimeter formula

[tex]Tiles = 2 \times (AB + BC)[/tex]

So, we have:

[tex]Tiles = 2 \times (2.24 + 4.47)[/tex]

[tex]Tiles = 13.42[/tex]

Hence, the units of tile will he need to surround his pool is 13.42

Read more about perimeters at:

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Given the two parallel lines determine the value of x

Answers

Answer:

D. 150°

Step-by-step explanation:

x= 150°

Choice D

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which details does the author include to describe the setting A Michelson interferometer operating at a 400 nm wavelength has a 3.95-cm-long glass cell in one arm. To begin, the air is pumped out of the cell and mirror M2 is adjusted to produce a bright spot at the center of the interference pattern. Then a valve is opened and air is slowly admitted into the cell. The index of refraction of air at 1.00 atmatm pressure is 1.00028.Required:How many bright-dark-bright fringe shifts are observed as the cell fills with air? D= 90* AC=17 cm AD=10 cm CD=?cmplease in need help in this how all calculations: Palmer Inc. currently produces 110,000 units at a cost of $440,000. Next year Palmer Inc. expects to produce 115,000 units. Palmers relevant range is 100,000 to 120,000 units. If the cost is variable and 115,000 units are produced, the total cost _____. Group of answer choices will decrease will increase to $460,000 will stay the same will be indeterminate Two scientists do not agree on which type of grocery bag is better for the environment. The Outcome of their disagreement is most likely to be: Answer my question , ty . 7. Which of these was one of the ways Republicans viewed the Alien and Sedition Acts? A. as a tool to remove political parties B. as a way to increase citizens' rights C. as an attack on the right of free speech D. as a necessity to keep order in the new nation I NEED HELP NOW PLEESW A humanities professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 61% C: Scores below the top 39% and above the bottom 21% D: Scores below the top 79% and above the bottom 6% F: Bottom 6% of scores Scores on the test are normally distributed with a mean of 67.7 and a standard deviation of 7.8. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary. A fluctuating electric current II may be considered a uniformly distributed random variable over the interval (9, 11)(9,11). If this current flows through a 2-ohm resistor, find the probability density function of the power P = 2I^2P=2I 2 . The average cost of a movie ticket is $7.50. If this price increases annually by 7 percent, how much would a movie ticket cost in 9 years? Find a solution for the equation y = 4x - 3. Which of the following statements about CASE is not true?CASE tools provide automated graphics facilities for producing charts.CASE tools reduce the need for end user participation in systems development.CASE tools have capabilities for validating design diagrams and specifications.CASE tools support collaboration among team members.CASE tools facilitate the creation of clear documentation FD80EB160GNOTE: Angles not necessarily drawn to scale.2=PLEASE HELPPP!!! A new operating system uses passwords that consist of three characters. Each character must be a digit between 0 and 9. For example, three distinct possible passwords are 123, 416, and 999. The system uses 32-bit salt values. The system also allows one login attempt every second and never locks out users regardless of how many failed attempts occur. If an adversary has obtained a copy of the password file and conducts an offline brute-force attack by trying every password combination until the adversary obtains username and password combination. The use of a 32-bit salt value What did the Hebrews contribute to western legal traditions EASY QUESTION THANK BRAINLIEST 5 STAREDetermine how easy it is to create racist ideas and views from the prospective of Jane Elliot. What is the y-intercept of a line that has a slope of -3 and passes through point (0, -7)? Name the following 3 structural formulas correctly, in order from left to right Which is not a basic function of a cell? A. Breaking down molecules B. Making macromoleclues for an organism C. Maintaining a stable external environment D. Removing waste from the cell The expense recognition principle indicates: Multiple Choice the ordering of current assets and current liabilities on the balance sheet. where expenses should be presented on the income statement. how expenses should be split between the income statement and the balance sheet. when costs are recognized as expenses on the income statement. Is f(x) continuous at x equals 4? Why or why not? A. No, f(x) is not continuous at x equals 4 because ModifyingBelow lim With x right arrow 4 f (x )does not exist. B. Yes, f(x) is continuous at x equals 4 because f (4 )exists. C. No, f(x) is not continuous at x equals 4 because f (4 )is undefined. D. Yes, f(x) is continuous at x equals 4 because ModifyingBelow lim With x right arrow 4 f (x )equals f (4 ).