A chemist mixes 125 milliliters of a solution that is 18% acid with 500 milliliters of pure acid.
Answer the questions below. Do not do any rounding.
(a) How many milliliters of acid are in the resulting mixture?
(b) What percentage of the resulting mixture is acid?

Answers

Answer 1

The amount of milliliters of acid that are in the resulting mixture is 522 ml and the percentage of the resulting mixture is 83.6%.

How to find the milliliters of acid?

a. Milliliters of acid:

Milliliters of acid = ( .18 x 125ml) +500 ml

Milliliters of acid = 522.5ml

b. Percentage of the resulting mixture

Percentage of the resulting mixture = 522.5ml /(125ml + 500 ml)

Percentage of the resulting mixture = 522.5ml  / 625 ml × 100

Percentage of the resulting mixture =83.6%

Therefore the milliliters of acid is 522.5ml.

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Related Questions

Please help I was sick and missed out on class.Thank you

Answers

What was the question? or was this only meant for your classmates?

The population of a pigeons in a city is
7000 and is growing exponentially at 19%
per year. Write a function to represent the
population of pigeons after t years, where
the quarterly rate of change can be found
from a constant in the function. Round all
coefficients in the function to four
decimal places. Also, determine the
percentage rate of change per quarter, to
the nearest hundredth of a percent.

Answers

Answer: p(t) = 100×1.0153^(12t)

1.53% per month

In general, the function will be written ...

 p(t) = (initial value)×(growth factor)^t

where t is in units comparable to those applicable to the growth factor. The growth factor is found from ...

 growth factor = 1 + growth rate

Here, the growth rate is given as 20% per year, so the growth factor per year is ...

 1 +20% = 1.20

The initial value is given as 100, so we can write the exponential function as ...

 p(t) = 100×1.20^t

__

The time period units for t are supposed to be years, but we want to find the growth rate for a month. We can do that by recognizing there are 12 months in a year. In the above equation, we can use (1/12)(12t) in place of t, then figure the growth factor (and growth rate) per month.

 p(t) = 100×(1.20^(1/12))^( 12t)

 p(t) = 100×1.0153^(12t) . . . . population exponential function

This shows the monthly growth factor is 1.0153, so the monthly rate of change (growth rate) is ...

 1.0153 -1 = 0.0153 = 1.53% . . . . monthly rate of change

Step-by-step explanation:

what is the slope of the line that passes thru (7,-6) and (6,-6)

Answers

The slope of the straight line passing through the two given points is undefined which means the line is parallel to the y-axis.

Let us consider the two points A(x₁,y₁) and B(x₂,y₂) be the two points (7,-6) and (6,-6) on the cartesian coordinates.

Let the slope of the line joining A (7,-6)  and B(6,-6)  be m.

We know that the slope of a line is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the line

= (6-7) / (-6+6)

= -1 / 0

= undefined

Since the slope is undefined we can say that the straight line is parallel to the y axis.

we know that tan 90° = ∞

So any line parallel to this line will have the same slope as the y axis.

Hence the slope of the given line is undefined or infinity.

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Has slope of 2 and passes through (-2, 1) write equation in point slope form of the line that passes through the given point and has the given slope. write the equation in slope intercept form.

Answers

Slope = m = 2

y = mx + b

y = 2x + b

Plug in (-2, 1) to find b

1 = 2(-2) + b

b = 5

y = 2x + 5

Studies show that the minimum half-life of
Diazepam is 20 hours.
Use the following to construct a function
that will model the minimum amount of
Diazepam left in the body after an initial
dose of 35 mg.
Q(t) = Pert
Where Q(t) describes the amount of
Diazepam left in the body after t hours
following an initial dose of P mg.
1. Q(t) =
2. How long (in hours) will it take for the
amount of Diazepam left in the body to
reach 7 mg?

Answers

1. After constructing the function according to the question, Q(t) = [tex]35e^{\frac{-ln2}{20}t}[/tex].

2. It will take 50 hours for the amount of Diazepam left in the body to reach 7 mg.

What is a function?

Exactly one element of Y is assigned to each element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function of the domain and codomain, respectively. Examples include f(x) = x/2 ("f of x equals x split by 2") ("f of x equals x divided by 2") Every input "x" has a single output "x/2," which makes it a function: • f(2) = 1.

Solution explained:

According to the question,

Q(t) = [tex]Pe^{rt}[/tex]

The half-life of Diazepam is 20 hours = t

Q(0) = p = 35 { the initial value}

Q(20) = [tex]35e^{20r} = \frac{1}{2} X 35[/tex]

          =  [tex]e^{20r} = \frac{1}{2}[/tex]

          = [tex]20r = -ln2[/tex]

          = [tex]r = \frac{-ln2}{20}[/tex]

Therefore, Q(t) = [tex]35e^{\frac{-ln2}{20}t}[/tex]

Now, Let

Q(t) = 7

[tex]35e^{\frac{-ln2}{20}t}[/tex] = 7

[tex]e^{\frac{-ln2}{20}t} = \frac{1}{5}[/tex]

[tex]{\frac{-ln2}{20}t} = -ln5[/tex]

After calculating,

t = 50 (hours)

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Estimate the difference of 25.92 - 5 4/10

Answers

Answer: 20 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

First of all, 5 [tex]\frac{4}{10}[/tex] = 5.4

Remember, 1/10 = 0.1, 2/10 = 0.2, and so on.

This means we can change the equation to 25.92 - 5.4, which gives us 20.52.

This is close to 20.50, which is equivalent to 20 [tex]\frac{5}{10}[/tex], which is equivalent to 20 [tex]\frac{1}{2}[/tex].

Write the phrase as an expression. Then evaluate when y=20.

3 less than the quotient of a number y and 4

write the Expression:

Answers

The value of 3 less than the quotient of a number y and 4 when y is 20 is 2.

What is an expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

The expression less than the quotient of a number y and 4 will be:

y/4 - 3

When y is 20, the value will be:

y/4 - 3

20/4 - 3

5 - 3

= 2

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Brainliest if correct 5 points

Answers

ASA= Angle Side Angle
As we can see even if the left triangle was flipped, the angles and sides will still be the same, making it congruent. Hope that helped

math
The sum of two numbers is 36. Their difference is 4. Determine the two unknown numbers.
(NOTE: Show answer in the following format # and #. If not entered in this format, will be scor
incorrect.)
Enter answer:

Answers

Answer:

One number is 16 and the other number is 20

Step-by-step explanation:

Let x = one number

Let y = the other number

x + y = 36

x - y = 4  Or x = 4 + y

Substitue in 4 + y for x in the first equaion

4 + y + y = 36  Combine like terms

4 + 2y  = 36  Subtract 4 from both sides

2y = 32  Divide both sides by 2

y = 16

Substitute 16 for y in either of the orginal equaions

x + y = 36

x + 16 = 36  Subtract 16 from both sides

x = 20

If 125 kg of food is sufficient for 30 soldiers for 6 days, how long will the food last for 45 soldiers?​

Answers

Answer:

30 = 6

45 = x

cross multiply

30x = 45*6

30x = 270

divide both sides by

30x/30 = 270/30

X = 9

9-6 = 3 days

students were asked which night they planned on attending the book fair. the results of the survey are shown in the table.

monday= 55 students
tuesday= 80 students
wednesday= 70 students
thursday= 112 students
friday= 65 students

20% of the students who planned to attend on Wednesday attended on Thursday instead. 25% of the students who planned to attend on Thursday attended on Wednesday instead. which day, Wednesday or Thursday, had a greater actual attendance? by how many students?

Answers

The day with greater actual attendance is Thursday with 98 students

How to determine the day that had a greater actual attendance?

A percentage is defined as the ratio that can be expressed as a fraction of 100

Given:

Expected numbers: Wednesday= 70 students andThursday= 112 students

20% of Wednesday = 20/100 x 70 = 14 students. That is 14 students are absent on Wednesday but attended on Thursday instead. This means 56 (70 -14) students scheduled for Wednesday attended.

25% of the students who planned to attend on Thursday attended on Wednesday instead:

25% of Thursday = 25/100 x 112 = 28 students.  This means 84 students scheduled for Thursday attended

Actual Wednesday attendance = 56 + 28 = 84 students

Actual Thursday attendance = 14 + 84 = 98 students

Therefore, Thursday had a greater actual attendance with 98 students

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please help me solve this question !

Answers

The solution of the function is x = 12

What are trigonometric ratios?

Trigonometric ratios are the ratios of sides of a right-angle triangle. The most common trigonometric ratios are sine, cosine, and tangent.

Consider a right-angle triangle ABC, right-angled at C. In that case, side AB will be the hypotenuse. Also, if we chose AC as the base and BC as the perpendicular. Then, for ∠BAC, value of sinθ = Perpendicular/ hypotenuse = BC/AB

6cos(5x) = 3

divide both sides by 6, we have

cos(5x) = 3/6

cos(5x) = 0.5

taking the anti cosine of both sides

5x = Arc cos 0.5

5x = 60

x = 60/5

x = 12°

In conclusion, the value of x = 12°

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The telephone company offers two types of service. With plan A, you can make an unlimited number of local calls for $50 per month plus a $25 plan activation fee. With plan B you pay $25 monthly plus $50 activation fee
Y=mx+b form please

Answers

Forming the two telephone charge plans in a slope intercept equation form, like Y=mx + b, is as follows:

Plan A: Y = 50x + 25Plan B: Y = 25x + 50.

What is the slope intercept equation?

The slope intercept equation is an equation of a straight-line with its slope (constant unit rate) combining the x and y intercepts.

Generally, the formula y = mx + b depicts the slope intercept equation with the following values:

y = y coordinate

m = slope

x = x coordinate

b = y intercept

                           Plan A   Plan B

Fixed cost (b)      $25        $50

Variable cost (m)  50          25

x = monthly            12          12

y = the total cost for the period

Thus, Plan A will have a total cost of 50x + 25 and Plan B will have a total cost of 25x + 50.

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PLEASE HELP I WILL GIVE BRAINLIEST IF ANSWERED QUICKLY

Answers

The compound expression (a⁵ · a ÷ a⁻³)⁻¹ is equivalent to the power a⁻⁹.

How to simplify a power expression by algebraic properties

In this problem we find a compound expression formed by several powers of equal base that must be simplified in a single power with the same base. This can be done by using algebra properties related to powers. First, write the given expression:

(a⁵ · a ÷ a⁻³)⁻¹

Second, multiply the powers of equal base:

(a⁵⁺¹ ÷ a⁻³)⁻¹

(a⁶ ÷ a⁻³)⁻¹

Third, by definition of division and the power of a power:

[a⁶ · (a⁻³)⁻¹]⁻¹

(a⁶ · a³)⁻¹

Fourth, use the multiplication of power of same base:

(a⁶⁺³)⁻¹

(a⁹)⁻¹

Fifth, use the property of a power of a power once again:

a⁻⁹

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Find a polynomiat of degree n that has only the given zero(s). (There are many correct answers.)
x = -1, 3, 2, 4; n = 5

Answers

The polynomial function for the given zeros is  x⁷+9x⁶+20x⁵-22x⁴-87x³+37x²+114x-72

Polynomial function:

An expressions that may contain variables of varying degrees, non-zero leading coefficients, positive exponents, and constants is known as polynomial function.

Given,

Here we have the value of zeros as x = -1, 3, 2, 4 and n = 5.

Now, we have to find the polynomial function from it.

Let us consider if a polynomial function f(x) has zeros x = -1, x = 3, x = 2, and x =  4, then it has factors 

=> (x - 1)³ (x + 3)² (x +2) (x + 4)

Here there are four factor, in these polynomial so it can be Quintic Function.

Now, we have to expand this one to get the resulting polynomial,

=> x⁷+9x⁶+20x⁵-22x⁴-87x³+37x²+114x-72

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(a²-8a26) ÷ (a + 2) synthetic division

Answers

Value of the expression (a²- 8a - 26) ÷ (a + 2) using synthetic division is given by quotient is a - 10 and remainder is -6.

As given in the question,

Given expression is equal to,

(a²- 8a - 26) ÷ (a + 2)

Simplify the given expression using synthetic division is shown in the attached file,

Another way of division,

(a²- 8a - 26)

= a² -10a + 2a -20 -6

= a (a -10) + 2( a - 10) -6

= ( a + 2 )( a - 10 ) - 6

Quotient of the given division is equal to ( a - 10 )

Remainder of the given division is equal to -6

Therefore, value of the expression (a²- 8a - 26) ÷ (a + 2) using synthetic division is given by quotient is a - 10 and remainder is -6.

The complete question is :

Evaluate the given expression using synthetic division :

(a²- 8a - 26) ÷ (a + 2)

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Solve the following linear equation and simplify your answer.

8z−6=−2(−4z+3)

Answers

Answer:

Step-by-step explanation:

8z-6=-2(-4+3)

8z-6=8z-6

on transposing,

8z-8z-6+6=0

Find a point-slope form for the line with slope 1/2 and passing through the point (-1,-4)

Answers

The linear equation with the given slope in the slope-point form is:

y = (1/2)*(x + 1) + 4

How to find the equation for the slope?

We know that for a line with a slope m and a point (a, b), the point-slope form of the line is written as:

y = m*(x - a) + b

In this case, we know that our line has a slope of 1/2 and it passes through the point (-1, 4), so we can replace this on the above formula to get:

y = (1/2)*(x + 1) + 4

This is the linear equation in the point-slope form.

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Factor -4 out of -8+20 factored expression

Answers

Factoring -4 out of -8+20 factored expression is -4(2 + 5).

What is a factor?

Factor expressions, also known as factoring, refer to the process of rewriting an expression as the product of factors. 3x + 12y, for example, can be factored into a simple expression of 3 (x + 4y). Calculations become easier in this manner. The terms 3 and (x + 4y) are referred to as factors.

To factor a given expression goes thus:

Each term should be written as the prime factorization.

Determine the factors that all of the terms share.

Multiply those common variables.

In this case, factoring 4 out of -8+20 factored expression is -4(2 + 5).

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Which graph shows the solution to this system of linear inequalities?

y> -2x+2
y<2x-1

Answers

The portion of the graph which does not contain (0, 0) is shaded.

What are Linear Inequalities?

When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical or as a combination of the two. When a polynomial of degree 1 is compared to another algebraic expression of a degree less than or equal to 1, this is an example of a linear inequality, which is an inequality involving at least one linear algebraic expression.

Given the inequalities :

y ≥>2x + 1

y ≤<2x - 2

From y > 2x + 1 ;

Since the inequality sign is ≥, a solid line is used to draw the straight line graph of  y > 2x + 1

From :

y = mx + c

Where, m = slope ; c = intercept

Hence, a straight line graph with ;

Intercept, c = 1 (where the line crosses the y-intercept)

Slope, m = 2

Consider a point, which isn't on the line ;

Take point (0,0) and use it to test the inequality :

0 > 2(0) + 1

0 >0 + 1

0 >1

This is false, hence, the portion of the graph which does not contain (0, 0) is shaded.

From : y < 2x - 2

Since the inequality sign is ≤, a solid line is used to draw the straight line graph of  y < 2x - 2

Graph the line y < 2x - 2, with ;

Intercept, c = - 2

Slope = 2

Consider a point, which isn't on the line ;

Take point (0,0) and use it to test the inequality y < 2x - 2:

0 < 2(0) - 2

0 < 0 - 2

0 < - 2

This is false, hence, the portion of the graph which does not contain (0, 0) is shaded.

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What is the slope of the line that passes through the points (8, 2) and (10, 2)? Write
your answer in simplest form.

Answers

Answer:

0

Step-by-step explanation:

The y-coordinates are the same, so the line is horizontal. Therefore, the slope is zero.

6 Tara begins solving the system below. What do you think her next step will be?
6x + 8y = 7
- 2x+4y= -8 -2x = -4y - 8
x = 2y + 4

Answers

Answer: Substituting x = 2y + 4 into the equation 6x + 8y = 7.

Step-by-step explanation:

       Since they solved for x, their next step will likely being solving by substitution, where you substitute for one variable to solve the other one.

       There are a few different ways to solve systems of equations, so this might not be her next step.

A system contains two or more linear equations that can be solved or graphed together at once.

True

False

Answers

The statement "A system contains two or more linear equations that can be solved or graphed together at once" is true.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

A system contains two or more linear equations that can be solved or graphed together at once.

This statement is true.

For example,

The two linear equations can be:

ax + by = c ____(1)

dx + ey = F _____(2)

We can solve this equation using the substitution method or elimination method.

We can find the point of intersection.

And we can solve and graph together at once.

Thus,

The statement "A system contains two or more linear equations that can be solved or graphed together at once" is true.

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Write an equivalent expression for 11(9a + 3b)

Answers

The equivalent expression for 11(9a+3b) is 33(3a+b)

How should an equivalent be written?

The numerator and denominator must be multiplied or divided by the same number when writing equivalent fractions. This explains why these fractions have the same value when they are simplified.

How does math equivalent work?

We need to multiply the denominator of 7 by a number that will give us 21 in order to obtain equivalent fractions, which requires multiplying both the numerator and the denominator by the same number. We may find an equal fraction by multiplying the numerator and denominator by 3, so 3 times 7 gives us 21.

Given expression: 11(9a+3b)

Take 3 outside from the expression, we get,

= 33(3a+b), which is called the equivalent expression

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To solve we must expand the terms and then simplify and finally multiply.

¿What are equivalent expressions?

The expressions are two algebraic expressions which are equivalent when they both take the same numerical value, for any value of the domain of each of the variables.

Solving the problem:11 (9a + 3b)11 × 9a + 11 × 3b99a + 11 × 3b99a + 33b

So the Result of the Expression is 99a + 33b

¡Hope this helped!

Please HELP! Select ALL the transformations that DO NOT preserve distance but preserve angle measure

a. Reflection across the line x = y

b.Translation 4 units downward

c. Anticlockwise rotation of 180 about the origin

d. Dilation by a scale factor of 0.5 about the origin.

e. Dilation by a scale factor of 2 about the (1,2)

f. Translation of 2 units to the right then dilation by a scale factor of 1.5 about the g. point (1,2)

Answers

Answer:

D and E

Step-by-step explanation:

Dilations shrink or enlarge, but do not change angle measurements.

Question 3
Rearrange the formula 5√x + y = z to make x the subject

Answers

Answer:

x = [tex](\frac{z-y}{5}) ^{2}[/tex]

Step-by-step explanation:

5[tex]\sqrt{x}[/tex] + y = z ( subtract y from both sides )

5[tex]\sqrt{x}[/tex] = z - y ( divide both sides by 5 )

[tex]\sqrt{x}[/tex] = [tex]\frac{z-y}{5}[/tex] ( square both sides to clear the radical )

([tex]\sqrt{x}[/tex] )² = [tex](\frac{z-y}{5}) ^{2}[/tex]

x = [tex](\frac{z-y}{5}) ^{2}[/tex]

A jar contains 7 red marbles and 10 blue marbles. What is the probability of choosing a blue marble?

This answer should be written as a decimal. Answer to two decimal places.

Answers

The probability of choosing a blue marble is 0.59.

What is probability?

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

The jar contains 7 red marbles and 10 blue marbles.

The probability of choosing a blue marble will be:

= Number of blue marbles / Total marbles

= 10/17

= 0.59

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Divide f(x) by d(x). Your answer
should be in the following format:
f(x)
d(x)
f(x)
d(x)
Q(x) +
=
4x³8x²+2x1
2x + 1
[?]
R(x) = -²
R(x)
d(x)

Answers

The value of R(x) is - [1-7x]

What is division in algebra?

The four basic arithmetic operations of addition, subtraction, multiplication, and division are used to connect variables and constants in algebraic expressions. The procedure of multiplying and dividing algebraic expressions is the opposite of each other. You can divide algebraic expressions using the long division method, the division of a monomial by another monomial, or the division of a polynomial by another polynomial.

Dividend: The number or value that we divide is known as a dividend.

Divisor: The number that divides the dividend is known as a divisor

Quotient: The result obtained from the division process is known as a quotient

Remainder: The number left over after the division process is known as the remainder.

In the given question;

f(x) is dividend and

d(x) is divisor

Q(x) is the quotient

And we have to find the remainder i.e. R(x)

After dividing [tex]\frac{4x^3-8x^2+2x-1}{2x+1}[/tex] we get

Q(x) =[tex]2x^2-5x[/tex]

and R(x) = [tex]-[1-7x][/tex]

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Answer: 9/2

Step-by-step explanation:

what - (-7/12) = a negitive number

Answers

Answer:

nu tg hi yum

Step-by-step explanation:

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answers

The true statements about the circle are the radius of the circle is 3 units, the center of the circle lies on the x-axis and the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9

How to determine true statements about the circle?

Given: the equation is x²+y²–2x–8 = 0

In order to determine true statements about the circle, we have to rewrite the given equation and compare it with the standard form of the equation of a circle.

The standard form of the equation of a circle is

(x-a)² + (y-b)² = r²

where (a, b) is the center and r is the radius

using the completing square method on the given equation:

x²+y²–2x–8 = 0

x²-2x + (-1)² + y² + (0)²= 8 + (-1)²

(x-1)² + (y-0)² = 9

(x-1)² + (y-0)²  = 3²

Thus, the center is (0, 1) and the radius is 3

Therefore, the options are the radius of the circle is 3 units, the center of the circle lies on the x-axis and the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9

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Other Questions
what number "x" makes the equation 8^x=2 correct? Which of the following are solutions to the equation below?Check all that apply.(2x+3) = 10x= 2/2A. x= B. x-10-32C. x= -/10 +5 + 2/1/2 D. x =-10-32 Find the total of the areas under the standard normal curve to the left of z1=2.575 and to the right of z2=2.575 Round your answer to four decimal places, if necessary. in what ways do virions resemble living cells? choose one or more:a.some virions possess genes for trna.b.they are capable of protein synthesis.c.they possess genes that can direct their own replication.d.some virions exhibit flagellar motility.e.their genomes can be larger than some cellular genomes. You can buy 3 apples at the quick market for $1.26 you can buy 5 of the same apples at the stop and save for $2.55 witch place is better buy Question 4(1) Throughout history, people have suffered from ailments that could have been easily avoided if they had only been understood.(2) For instance, it used to be common for hat makers to be tortured by uncontrollable trembling, slurred speech, and mentalconfusion. (3) The condition led to Lewis Carroll's creation of the Mad Hatter in his book Alice's Adventures in Wonderland. (4) Sadly,the hatters did not know that the mercury they used in creating felt hats was poisoning them, leading to their strange symptoms. (5)Similarly, many of the world's greatest artists suffered from terrible depression. (6) Today we know that the lead in the paint theyused probably affected their mental state. (7) How tragic that so many lives were destroyed for want of a little knowledge.In general, the tone of this paragraph can be described asA a. regretful.B) b. angry.c. alarmed.10 PointsD d. pessimistic. serotonin (5-hydroxytryptamine, 5-ht) is a neurotransmitter with receptors (5-ht receptors) located in cells throughout the body. there are more than a dozen different types of serotonin receptors that fall into several different classes. one class consists of serotonin-activated ion channels and the other receptor classes are g-protein-coupled receptors that associate with different g proteins. the 5-ht7a receptor couples to gs and activates adenylyl cyclase, while the 5-ht2b receptor couples to gq and activates phospholipase c. the diversity of receptor types has led pharmacologists to search for drugs that will bind to and modulate just a single receptor class in order to limit systemic side effects (see 5-hydroxytryptamine receptor subtypes and their modulators with therapeutic potentials). place into bins the downstream effects predicted for a drug that exclusively activates the 5-ht7a receptor versus a drug that exclusively activates the 5-ht2b receptor. 2) Business Zoom Corporation makes model cars. Each sells for $29.99. The unit cosis $14.25. If the company's fixed costs are $314,800, find the number of units theyneed to sell to break even. Exercise 1. Fill in: on, in, under, near, behind.1. There is a sofathe living room. The sofa is2. There is a bedthe bedroom. There are some cushions3. There is a carpetthe floor.4. My shoes are5. There is a garden6. My dresses are7. There is a lamp8. The computer is9. There are eggs10. The father is11. There are a lot of people12. My friend Jane sitsthe table.our house.the wardrobe.the desk.Tom's desk.the fridge.the garage.me.the shop. It is closed.the window.the bed. how long did the battle of trenton last Find the two possible values ofX in the GP 72,x,18. Which of the following are reasons a small business might choose the SIMPLE over a Section 401(k) plan?A) The employer expects that it could not satisfy the Section 401(k) nondiscrimination test.B) Because a SIMPLE is less costly to operate, it is generally the better choice if the employer is not concerned about the design constraints of the plan.C) A Section 401(k) plan would be top heavy (benefits for key employees will exceed 60% of total benefits), and the employer wants to minimize employer contributions.D) All of these are reasons. Identify the first simile that frost uses in the poem "birches" (use the exact words of the poem. ). Two styrofoam balls are placed so their centers are 3.2 cm apart. The mass of one ball is twice themass of the other ball. The larger ball exerts a gravitational force of 2.63 X 10-12 N on the smaller ball.Calculate the mass of each ball. (Use GUESS method.) Answer 4.49 X 10-3 kg, 8.99 X 10-3 kgI was given the answers, I just want to know the working equation The first sushi restaurant opens in town. Initially people are very cautious about eating tiny portions of raw fish, as this is a town where large portions of grilled meat have always been popular. Soon, however, an influential health report warns consumers against grilled meat and suggests that they increase their consumption of fish, especially raw fish. The sushi restaurant becomes very popular and its profit increases.a. What will happen to the short-run profit of the sushi restaurant? What will happen to the number of sushi restaurants in town in the long run? Will the first sushi restaurant be able to sustain its short-run profit over the long run? Explain your answers. b. Local steakhouses suffer from the popularity of sushi and start incurring losses. What will happen to the number of steakhouses in town in the long run? Explain your answer. c. Does the market for sushi restaurants fit the characteristics of perfect competition? Explain. If another object (a can of beans) was dropped from 12 meters in free fall, how long will it take for that object to fall to the ground? Vhich of the following demonstrates the central dogma of molecular biologists? (1 point) O Gene expression relies on environmental factors that determine which traits are dominant. O DNA and RNA hold the code to create proteins that are the key to gene expression. O DNA and RNA mutate into either harmful or helpful effects on the human body. O Proteins replicate DNA which gives the expression of traits to an organism. Which sentence contains a prepositional phrase that is used as an adjective?A: The show on television tonight is about panda bears.B: The whole class gathered at the park in the afternoon.C: The Declaration of Independence was signed in 1776.D: I prefer the shirt with the blue and white stripes. Anna is working two summer jobs, making $9 per hour washing cars and $12 perhour landscaping. Last week Anna worked a total of 7 hours and earned a total of$78. Determine the number of hours Anna worked washing cars last week and thenumber of hours she worked landscaping last week. How does operant conditioning cause superstitious behavior?