7 X 7 X 5 X 5 in exponential form

Answers

Answer 1

Answer:

7^2*5^2

Step-by-step explanation:

The equation contains two 7's and two 5's. 7 squared and 5 squared can be written like this, so the answer is 7^2*5^2


Related Questions

Are 17 heartbeats in 15 seconds and 68 heartbeats in 60 seconds Equivalent

Answers

Answer:

1.133.

Step-by-step explanation:

Yes because if you divide 17 by 15 you get about 1.133 and if you divide 68 by 60 you also get about 1.133.

Answer:

Step-by-step explanation:

17/15 = 1 2/15

68/60 =  1 2/15

yes, they are equivalent

3x +y = 14
Rewrite equation in slope intercept form solve for y

Answers

The answer is Y= -3x + 14
Final answer:

To rewrite the equation in slope-intercept form and solve for y, we isolate y on one side of the equation by subtracting 3x from both sides. The resulting equation is y = -3x + 14.

Explanation:

To rewrite the equation in slope-intercept form and solve for y, we need to isolate y on one side of the equation.

Given the equation 3x + y = 14, we can start by subtracting 3x from both sides to get y alone.

The equation becomes y = -3x + 14, which is now in slope-intercept form (y = mx + b) where the slope (m) is -3 and the y-intercept (b) is 14.

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What steps would you do to solve n/7 + 3 ≥ -4?

a Multiply by seven, then subtract three.
b Add three, then multiply by seven.
c Subtract three, then multiply by seven.
d Subtract three, then divide by seven.

Answers

The right answer is Option C.

Step-by-step explanation:

Given inequality is

[tex]\frac{n}{7}+3\geq -4[/tex]

We will first subtract three from both sides.

[tex]\frac{n}{7}+3-3\geq -4-3\\\frac{n}{7}\geq -7[/tex]

In the next step we will multiply both sides with 7 to determine n.

Therefore,

Subtract three, then multiply by 7.

The right answer is Option C.

Keywords: inequality, subtraction

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A. Suppose you have just inherited a sum of money. Let’s say you choose to invest the money. How much did you inherit? Choose an amount between $1000 and $100,000. Do not choose an increment of 1000. In other words, do not choose $1000, $2000, $5000, $14000, etc.
B. What is your interest rate? Choose a rate between 0.5% and 3%.
C. Using yearly compounding, calculate the accrued value after 5 years, 10 years, and 15 years. Show all work. You may show your work as an inserted image.

Answers

Amount =$48003.20

Step-by-step explanation:

Here apply the compound interest formula;

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where;

P=Principal amount invested = $37500

r=rate of interest as a decimal, 2.5% =0.025

n=number of compounding per year=1

t=time period the amount in invested=10

In our case, the amount after investing will be;

[tex]A=37,500(1+0.025)^{10} \\\\A=37,500(1.025)^{10} \\\\A=48003.20[/tex]

Interest earned after the period= $48003.20-$37500 =$10503.20

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Keywords: inherit, sum, money, interest

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(-5, -5), 6x - y = 1
Write an equation of the lines that passes through the given point and is parallel to the given line.

Answers

Answer:

Step-by-step explanation:

6x - y = 1

6x - 1 = y.....rearrange

y = 6x - 1......slope is 6. A parallel line will have the same slope.

y = mx + b

slope(m) = 6

(-5,-5)...x = -5 and y = -5

now we sub and find b, the y int

-5 = 6(-5) + b

-5 = -30 + b

-5 + 30 = b

25 = b

so ur equation is : y = 6x + 25 <==

What percent of your budget of $6000 would your rent be if you pay $600 in rent?

Answers

Answer:

ur answer ( I think so it will be correct)

Step-by-step explanation:

$6000 percent $600

= 6000/600

= 60÷6 percent

= 10 percent

I THINK ITS HELPFULL TK YOU

What percent of your budget of $6000 would your rent be if you pay $600 in rent?Answer: 10%

There are sparrows and cardinals that feed at Mrs. Sims bird feeder. The ratio of sparrows to cardinals is 3:1. There are at least 7, but less than 11 sparrows that eat at Mrs. Sims bird feeder. Put an S in the grid below to show the number of sparrows and a C to show the number of cardinals. There may be extra squares. (See attachment)

Answers

Answer:

Please find the grid of Sparrows and Cardinals below.

Step-by-step explanation:

Ratio 3:1 of Sparrows to Cardinals

There are at least 7, but less than 11 sparrows that eat at Mrs. Sims bird feeder

Let's build the grid for sparrows and cardinals, this way:

Sparrows = 7 - 8 - 9 - 10 - 11

Cardinals = 2 - 3 - 3 - 3 - 4

For calculating the number of cardinals we use the ratio 3:1 and round the number of cardinals to the next whole number.

Number of sparrows 7 to 11

Number of cardinals 2 to 4

A store is having a sale on jelly beans and almonds. For 6 pounds of jelly beans and 2
pounds of almonds, the total cost is $16 . For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $13. Find the cost for each pound of jelly beans and each pound of almonds.

Answers

The cost of each pound of jelly beans is $ 2.25 and cost of each pound of almond is $ 1.25

Solution:

Let the cost of each pound of jelly beans is "a"

Let the cost of each pound of almond is "b"

For 6 pounds of jelly beans and 2  pounds of almonds, the total cost is $16

Therefore, we frame a equation as:

6 pounds of jelly beans x cost of each pound of jelly beans + 2  pounds of almonds x cost of each pound of almond = 16

[tex]6 \times a + 2 \times b = 16[/tex]

6a + 2b = 16 --------- eqn 1

For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $13

Therefore, we frame a equation as:

3 pounds of jelly beans x cost of each pound of jelly beans + 5 pounds of almonds x cost of each pound of almond = 13

[tex]3 \times a + 5 \times b = 13[/tex]

3a + 5b = 13 ----------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 2 with 2

6a + 10b = 26 --------- eqn 3

Subtract eqn 1 from eqn 3

6a + 10b = 26

6a + 2b = 16

( - ) -------------------------

8b = 10

[tex]b = \frac{10}{8} = 1.25[/tex]

b = 1.25

Substitute b = 1.25 in eqn 1

6a + 2(1.25) = 16

6a + 2.5 = 16

6a = 13.5

a = 2.25

Thus cost of each pound of jelly beans is $ 2.25 and cost of each pound of almond is $ 1.25

What time is past 13 hours past 1:00 am

Answers

Answer:

Therefore the answer is 14:00 hours or we can also write this as

14:00 - 12:00  = 2 : 00 pm.

Step-by-step explanation:

13 hours past 1:00 am is equal to 13 + 1 = 14.

Therefore the answer is 14:00 hours or we can also write this as

14:00 - 12:00  = 2 : 00 pm.

Answer:  That would be 2.00 P.M

Step-by-step explanation:

Is 25/176 a repeating or terminating decimal

Answers

It repeats since it can't be simplified.

Broccoli costs $1.50 per pound at a store. How much money does 32
ounces of broccoli cost?

Answers

Answer:

2 pounds

Step-by-step explanation:

Answer:$3

Step-by-step explanation:32 ounces is equal to 2 pounds. 1.50 times 2

Adrian made the cakes shown below for a 3 cakes at the party Adrian will serve each guest 1/8 of a cake what is the greatest number of guests Adrian can serve?

Answers

Answer:

24 Guests

Step-by-step explanation:

3 x 8 = 24.

Answer:

since each guest is 1/8 of the cake and he has 3 cake . So the great number of the guest is 24....

Step-by-step explanation:

Should be 24 is the answer...

I hope this will help...Have a nice day...

Quadrilateral TRPK ~ Quadrilateral EWMN Which statements are correct? Select all that apply. Question 8 options:

TK/NM = RP/EW
∠R≅∠W
∠P≅∠N
RP/WM = TR/EW = TK/EN

Answers

For starters, we know that the angle measures have to be similar or the same, since similar shapes always contain the same angle measures. We can use the way that the letters of each shape line up to identify which angle correspond to each other. Angle R should be congruent to angle W, but angle P is not congruent to N, it would be congruent to M though. Now we get to the tricky part, figuring out line segment lengths. Again using the letters in each shape, we can see that TK and NM do not correspond to each other, and thus cannot be congruent or similar. But, with RP/WM, this is correctly lined up with each other. TR/EW, same with this one, and TK/EN is also the same. With this Info, we can figure out the dilation of the smaller shape, or just figure out if they are similar or not. (So pick B. And D.)



The difference of r and 18 is equal to five

Answers

Answer: 23

Step-by-step explanation: 18+5=23

23-5=18

R=23

The difference of r and 18 means subtraction: r - 18 = 5

To isolate r, you add 18:

r = 18 + 5 or 23

r = 23

Raphael runs every day for several weeks. He runs for 35 days in a row. How many weeks did he run?

Answers

Answer:

5 weeks

Step-by-step explanation:

There are 7 days in a week.

5 weeks * 7 days = 35 days.

Raphael ran for a total of 5 weeks.

To calculate how many weeks Raphael ran, we need to divide the number of days he ran by the number of days in a week.

Raphael ran for 35 days.

Since there are 7 days in a week, we divide 35 by 7:

35 days / 7 days per week = 5 weeks

Therefore, Raphael ran for 5 weeks.

what is the value of (5r+1/5) squared when r=0

Answers

Answer:1/5

Explanation The answer is 1/5 because 05×0 is zero so 0+1/5 equals 1/5

Answer:

1/5

Step-by-step explanation:

Which mathematical symbol would best fill in the blank to compare the two real numbers?


square root of 2 blank 1.8 repeating


<

>

=

Answers

I would say < because the square root of 2 is 1.414 which is less then 1.8 repeating

How many 3/8 go into 3/2

Answers

Answer: 3/8 can’t go to 3/2

Step-by-step explanation:

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 12.5, 2.5, 0.5, 0.1, 0.02.
Which exponential function is represented by the table?

f(x) = 0.2(0.5x)
f(x) = 0.5(5x)
f(x) = 0.5(0.2x)
f(x) = 0.2(0.2x)

Answers

Answer:

[tex]f(x)=0.5\cdot (0.2)^x[/tex]

Step-by-step explanation:

Given the table

[tex]\begin{array}{cc}x&f(x)\\ \\-2&12.5\\ -1&2.5\\0&0.5\\1&0.1\\2&0.02\end{array}[/tex]

The exponential function can be written  [tex]f(x)=a\cdot b^x.[/tex] To find [tex]a[/tex] and [tex]b,[/tex] substitute some values:

When [tex]x=0,\ f(x)=0.5,[/tex] then

[tex]0.5=a\cdot b^0\Rightarrow a=0.5\ [ b^0=1][/tex]

When [tex]x=1,\ f(x)=0.1,[/tex] then

[tex]0.1=0.5\cdot b^1\Rightarrow 0.5b=0.1,\ b=0.2[/tex]

Thus,

[tex]f(x)=0.5\cdot (0.2)^x[/tex]

Check remaining values:

[tex]f(-2)=0.5\cdot 0.02^{-2}=0.5\cdot 5^2=0.5\cdot 25=12.5\\ \\f(-1)=0.5\cdot 0.2^{-1}=0.5\cdot 5=2.5\\ \\f(2)=0.5\cdot 0.2^2=0.5\cdot 0.04=0.02[/tex]

PLZ HELP 20 points and brainliest
Select TWO equations that have infinitely many solutions.
A.
2(7 – 4x) = 4(5 – 2x) – 6
B.
6(x – 9) = 6x – 54 + x
C.
4(x + 4) = 2(2x + 5) + 6
D.
5(x – 8) + 10 = 5(x + 2)

Answers

Answer: A.   2(7 – 4x) = 4(5 – 2x) – 6

C.   4(x + 4) = 2(2x + 5) + 6

Step-by-step explanation:

Infinitely solution means when all numbers are solutions . Checking the equations given one by one

A. 2(7- 4x ) = 4(5 - 2x ) - 6

Expanding , we have

14 - 8x = 20 - 8x - 6

14 - 8x = 20 - 6 - 8x

14 - 8x = 14 - 8x , this is just a typical example of infinitely many solutions because any value of x chosen will satisfy the equation.

B. 6(x - 9 ) = 6x - 54 + x

Expanding , we have

6x - 54 = 6x + x - 54

6x - 54 = 7x - 54

collecting the like terms

6x - 7x = -54 + 54

- x = 0

x = 0

This equation has just one solution at x = 0 , because 0 is the only value of x that will satisfy the equation

C. 4( x + 4 ) = 2 ( 2x + 5 ) + 6

4x + 16 = 4x + 10 + 6

4x + 16 = 4x + 16

This equation also have infinitely many solutions

D. 5 ( x - 8 ) + 10 = 5 ( x + 2 )

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10

This equation has no solution.

Therefore , the equations with infinitely many solutions are equations A and C

Bonita said that the product of 56 × 123 is 73. How can you tell that her answer is wrong?

Answers

Answer:

It is wrong because the answer should be way greater than the factors.

by the way the anwer is 6888

Step-by-step explanation:

Answer:

5/6 of a number cannot be greater than the number.

Step-by-step explanation:

what is an expression equivalent to 48+30​

Answers

Answer:

Step-by-step explanation:

48 + 30 = 6(8 + 5)

Answer:78

Step-by-step explanation:

Equivalent expression is to carry out the addition process.

48 + 30 = 78

Joe made a scale drawing of the community pool in his town. the pool has a perimeter of 77 meters, what is the length and width in meters?

Answers

Answer:

The length of the pool is 28 meters and the width of the pool is 10.5 meters.

Step-by-step explanation:

In the scale drawing of Joe, the community pool has (length : width) = 8 : 3

Let the actual length of the pool is 8x meters and the actual width is 3x meters.

Now, given that the actual pool has a perimeter of 77 meters.

So, 2(8x + 3x) = 77

⇒ 22x = 77

x = 3.5

So, the length of the pool is 8x = 8(3.5) = 28 meters and the width of the pool is 3x = 3(3.5) = 10.5 meters. (Answer)

Answer:

The length of the pool is 28 meters and the width of the pool is 10.5 meters.

Step-by-step explanation:

Find the coordinates of the midpoint of the line segment with the endpoints C(1,0) and D(5,4)

Answers

Answer:

(3, 2 )

Step-by-step explanation:

Given the endpoints are (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) [

Here (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (5, 4), thus

midpoint = [0.5(1 + 5), 0.5(0 + 4) ] = (0.5(6), 0.5(4)) = (3, 2 )

Answer:

(3,2)

Step-by-step explanation:

To find a midpoint of two given points, we can use the formula:

[tex](x_{m} ,y_{m} ) = (\frac{x_{1} +x_{2} }{2} , \frac { y_{1} +y_{2}}{2})[/tex]

(i.e. we just take the average of the x coordinates, and similarly, the average of the y coordinates).

so we get:

midpoint =  ( (1+5)/2, (0+4)/2 )

               =   (3, 2)

Part A: Write an equation of a line that is perpendicular to the line y = 2/3x + 5 and passes through the point (4, 0).
Part B: Explain how you determine the equation in 3-4 sentences using at least 6 of the words below.
Slope
y-intercept
x-intercept
perpendicular
opposite
reciprocal
substituted/substitution
slope-intercept
ordered pair

Answers

Step-by-step explanation:

First you need to make a line perpendicular to y=2/3x+5. To do that you have to know that, if we use y=ax+b, a1*a2=-1. That is if a1 and a2 are perpendicular. So we get 2/3*a2=-1. -1/ 2/3=a2. a2=-1.5. We get y=-1.5x+b. Fill in (4,0) on y=-1.5x+b abd we get 0=-1.5(4)+b. b=6

Answer:

y = (-3/2)x - 6

Step-by-step explanation:

slope of the line y= 2/3x + 5

slope = 2/3

for two perpendicular lines

slope1*slope2 = -1

so, slope2 = (-1)*(3/2) = -3/2

hence for it to pass (4,0)

slope2=(y2 - y1)/(x2 - x1)

-3/2 = (y - 0)/(x - 4)

cross multiplying

-3x -12 = 2y

the equation of the line is

y = (-3/2)x - 6

(6c)^3
---------
c
please help

Answers

216n^3
-----------
c

i think that's correct

Answer:

216c^3

Step-by-step explanation

3.) mr. smith’s class sold wrapping paper for $3.50 each and mr. davis’ class sold magazines for $2.75 each. together, the classes sold 72 items and earned $222 for their school. a. write and solve a system of equations that model the problem. show all your work. Need answer ASAP!!!!!

Answers

Answer:

The number of wrapping paper sold was 32 and the number of magazines sold was 40

Step-by-step explanation:

Let

x ----> the number of wrapping paper sold

y ----> the number of magazines sold

we know that

The classes sold 72 items

so

[tex]x+y=72[/tex] ----> equation A

The classes earned $222 for their school

so

[tex]3.50x+2.75y=222[/tex] ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is (32,40)

see the attached figure

therefore

The number of wrapping paper sold was 32 and the number of magazines sold was 40

A 22inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is one inch more than four times the length of the first piece. Find the length of the pieces

Answers

Answer:

The length of the pieces is 3 inch, 6 inch and 13 inch.

Step-by-step explanation:

Let, the length of the first piece is x inch.

Hence, the length of the second piece is 2x.

It is given that, the length of the third piece is one inch more than four times of the first piece. Hence, the length of the third piece is 4x + 1 inch.

The total length of the steel is 22 inch.

Hence, x + 2x + 4x + 1 = 22

or, 7x = 21

or, x = 3.

The length of the second piece is [tex]2x = 2\times3 =[/tex] 6 inch.

The length of the third piece is [tex]4x + 1 = 12 + 1 =[/tex] 13 inch.

Final answer:

The lengths of the three pieces of steel are 3 inches, 6 inches, and 13 inches respectively.

Explanation:

Let's denote the length of the first piece as x. According to the problemm, the second piece is twice as long as the first piece, which could be represented as 2x. The third piece is said to be one inch more than four times the length of the first piece, which could be represented as 4x + 1. Since the total length of the steel is given as 22 inches, we write down this equation: x + 2x + 4x + 1 = 22.

Simplifying this equation, we get: 7x + 1 = 22. We then subtraact 1 from both sides to isolate the term with x on one side: 7x = 21. Finally, we solve for x by dividing both sides by 7: x = 3.

Therefore, the length of the first piece of steel is 3 inches. The length of the second piece is twice that, or 6 inches. The length of the third piece is four times the length of the first piece plus one inch, or 13 inches.

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y=6x-10=x-4 what is x

Answers

Answer:

x=6/5

Step-by-step explanation:

y=6x-10

y=x-4

-----------

6x-10=x-4

6x-x-10=-4

5x-10=-4

5x=-4+10

5x=6

x=6/5

y=6/5-4=6/5-20/5=-14/5


Solve for x and y:
28x-49y=35
4x-7y=5
A.The solution is (0, 0).
B.There are an infinite number of solutions.
C.X=3,y=1
D.There is no solution.

Answers

Answer:

D

Step-by-step explanation:

The lines are parallel, this means that they will never meet.

Answer: D no solution

Step-by-step explanation:

the first one is wrong because if they were both 0 than they would have to equal 0

the second one is wrong because no number works

the third one is wrong because it works on the second one but when you plug it into the first equation you get 95 = 35 which is incorrect.

D is the correct choice.

Other Questions
When ejecting a protein sample into a well of the SDS-PAGE gel with a pipetter, why should you only push down on the pushbutton to the first stop and not the second stop?Select one:a. Pushing down to the second stop will eject more sample than required. b. The pushbutton should only be pushed down to the second stop when loading the sample into the pipetter.c. Pushing down to the second stop when loading the samples will not affectthe SDS-PAGE results.d. Pushing down to the second stop could denature the protein sample.e. Pushing down to the second stop will result in ejection of air from the pipet tip, which could blow the content intended for that particular well to the surrounding wells X +2 times -2+107 = 180 Read the excerpts from Ovids "Pyramus and Thisbe" and Shakespeares Romeo and Juliet."Pyramus and Thisbe""Now this same nightwill see two lovers lose their lives: she wasthe one more worthy of long life: it's Iwho bear the guilt for this. O my poor girl,it's I who led you to your death; I saidyou were to reach this fearful place by night;I let you be the first who would arrive.O all you lions with your lairs beneaththis cliff, come now, and with your fierce jaws feastupon my wretched guts! But cowards talkas I dolonging for their death but notprepared to act. At that he gathered upthe bloody tatters of his Thisbe's shawland set them underneath the shady treewhere he and she had planned to meet.He weptand cried out as he held that dear shawl fast:"Now drink from my blood, too! And then he drewhis dagger from his belt and thrust it hardinto his guts.Romeo and JulietRomeo: O my love! my wife!Death, that hath suck'd the honey of thy breath,Hath had no power yet upon thy beauty:Thou art not conquer'd; beauty's ensign yetIs crimson in thy lips and in thy cheeks,And death's pale flag is not advanced there.Tybalt, liest thou there in thy bloody sheet?O, what more favour can I do to thee,Than with that hand that cut thy youth in twainTo sunder his that was thine enemy?Forgive me, cousin! Ah, dear Juliet,Why art thou yet so fair? shall I believeThat unsubstantial death is amorous,And that the lean abhorred monster keepsThee here in dark to be his paramour?For fear of that, I still will stay with thee;And never from this palace of dim nightDepart again: here, here will I remainWith worms that are thy chamber-maids; O, hereWill I set up my everlasting rest,And shake the yoke of inauspicious starsFrom this world-wearied flesh. 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The veteran could not get a VA loan because it appraised for over $35,000 Consider the nuclear equation below.Superscript 239 subscript 94 upper P u right arrow variable X plus superscript 4 subscript 2 upper H e.What is X? Calculate the sample standard deviation and sample variance for the following frequency distribution of heart rates for a sample of American adults. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Community health care can provide all of the following EXCEPT:A. primary careB. urgent careC. health insuranceD. health educationPlease select the best answer from the choices provided.OOOO Write 2 equivalent expressions for this expression. And explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.3(3j + 7 + j)Best answer will be Brainliest!!! A 120 kg hoop rolls along a horizontal floor so that the hoop's center of mass has a speed of 0.220 m/s. How much work must be done on the hoop to stop it? Match each system on the left with all words that describe the system on the right. Choices on the right can be used more than once. . In chemistry, one often uses a unit of charge known as the Faraday, F, which has the magnitude of the charge of 1 mole of electrons. How many Coulombs are there in a Faraday The following is the general ledger for ABC Company as of December 31, 20X1. Use this information to answer questions (1) through (4).ABC CompanyGeneral LedgerAs of December 31, 20X1AmountAssetsCash$29,400Accounts receivable8,100Supplies4,900Prepaid rent20,200Equipment (net)63,800LiabilitiesAccounts payable$ 6,300Salaries payable4,000Interest payable1,100Utilities payable3,700Bonds payable38,400Stockholders' equityCommon stock$60,900Retained earnings0Dividends2,100RevenuesSales revenue$54,200Interest revenue1,400ExpensesCost of goods sold$15,100Salaries expense7,100Rent expense4,900Supplies expense1,300Utilities expense4,800Depreciation expense2,500Interest expense2,100Income tax expense3,700What is the amount of gross profit to be reported on ABC Companys 12/31/X1 income statement?$40,500$14,100$39,100$17,800What is the amount of operating income (EBIT) to be reported on ABC Companys 12/31/X1 income statement?$36,100$18,500$14,800$14,100What is the amount of earnings before taxes (EBT) to be reported on ABC Companys 12/31/X1 income statement?$15,000$17,800$12,000$18,500What is the amount of net income to be reported on ABC Companys 12/31/X1 income statement?$17,800$12,000$14,100$18,500 A liter of water was found to contain 10 mg of benzene (C6H6). What is the concentration of benzene in mg/L, ppm, and molarity? A package of aluminum foil is 59.3 yd long, 13 in. wide, and 0.00040 in. thick. If aluminum has a density of 2.70 g/cm3, what is the mass, in grams, of the foil? What is the best meaning of the phrase at the entrance to Auschwitz, Arbeit macht frei?No man is freeWork sets you freeOnly the good are freeEducation makes you free How did bosses and political machines control city governments? Steam Workshop Downloader