Pediatricians prescribe 7 milliliters (ml) of acetaminophen for every 35 pounds of a child's weight. How many milliliters of acetaminophen will the doctor prescribe for Jocelyn, who weighs 55 pounds? The doctor will prescribe *blank* milliliters of acetaminophen.

Answers

Answer 1

The number of milliliters of acetaminophen for a 55 kg child is 11 ml

How to find the number of milliliters of acetaminophen the doctor would prescribe?

Since a Pediatricians prescribe 7 milliliters (ml) of acetaminophen for every 35 pounds of a child's weight, we desire to find how many milliliters of acetaminophen will the doctor prescribe for Jocelyn, who weighs 55 pounds.

First, we need to find the number of milliliters of acetaminophen per pound of child, n

n = number of milliliters, L/mass of child, m

Since

L = 7 milliliters = 7 ml and m = 35 pounds = 35 lb

So, substituting the values of the variables into the equation, we have

n = L/m

= 7 ml/35 lb

= 1/ml/5 lb

= 0.2 ml/lb

Since we require the number of milliters of acetaminophen required for a 55 pound child.

Since n = L/m

L = mn

Given that

m = 55 pounds = 55 lb and n = 0.2 ml/lb

So, susbstituting the values of the variables into the equation, we have

L = mn

= 55 lb × 0.2 ml/lb

= 11 ml

So, the number of milliliters is 11 ml

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Related Questions

Algebra II 5.02: Solve Radical Equations

Answers

Radical Equations

Step 1

To demonstrate how to solve a radical equation, let's use the following equation as an example:

What is the formula of commutative property?

Answers

The formula of commutative property of addition is a + b = b + a and the formula of commutative property of multiplication is a × b = b ×  a.

The Commutative Property is derived from the word commute, which means to move. It states that the product or sum of two numbers do not change even if the places of numbers are changed or if the numbers move from one place to another.

The commutative property of addition states that a + b = b + a

The commutative property of multiplication states that a × b = b ×  a.

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What is domain simple answer?

Answers

A domain is a component of the nomenclature used in web addresses to identify your website or a particular page of your website online.

What is domain ?

A function's authorized range of values is known as its domain. For a function like f, this set contains of the x values (x). The set of those values represents the possible range of values that a function can take as input. The function's response to our x value entry is this group of values.

here ,

A domain is typically a sphere of knowledge or an area under one's control.

Users find it much easier to recall and search for online because it is a string of text linked to a website's numerical IP address.

Both the internet's architecture and the way a company's network resources are set up fall under the umbrella term "domain."

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Clark's rule is a formula used to determine pediatric doses of over the counter medicine.
The formula says
The weight of a child divided by 150 multiplied by the adult dose is the same as the child dose
if an adult dose of acetaminophen is 1,000 mg and a child weighs less than 90 pounds, what is
the recommended range of doses?
A. x≤ 600
B. x ≥ 600
C. 500 D. 500 ≤x≤ 600

Answers

500 ≤x≤ 600  is the recommended range of doses. Typically, a phase I or early phase II clinical trial involves dose range.

How to calculate doses ?

To solve this problem using Clark's rule, we need to determine the range of pediatric doses for a child who weighs less than 90 pounds and for whom the adult dose is 1,000 mg.

A mathematical formula known as Clark's rule is used in medicine to determine the right dosage of medication for patients aged 2 to 17 depending on their weight and the recommended adult dose.

First, we can use the formula provided to calculate the child dose:

Child dose = (Weight of child / 150) * Adult dose

Since the weight of the child is less than 90 pounds, we can set the weight of the child to the minimum value in the range, which is 50 pounds. This gives us:

Child dose = (50 / 150) * 1000 mg

= 333.33 mg

Next, we can set the weight of the child to the maximum value in the range, which is 89 pounds. This gives us:

Child dose = (89 / 150) * 1000 mg

= 593.33 mg

Therefore, the recommended range of doses for a child who weighs less than 90 pounds and for whom the adult dose is 1,000 mg is 500 mg ≤ x ≤ 600 mg.

So, the correct answer is D. 500 ≤x≤ 600.

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Determine the domain and range for the function below.

Answers

Answer:

Domain: (-∞, ∞); Range: [1, ∞)

Step-by-step explanation:

Domain is the set/interval of x-values that the function spans while the range is the set or interval of y-values that the function spans.

Domain

We can see that the arrows point towards negative and positive infinity for x and also see there are no holes or asymptotes for this graph. Therefore, the domain is (-∞, ∞) or {x | x is any real number}

Range

We can see that the arrows both point towards infinity for y-values and that the lowest y-value this graph touches is y = 1 (inclusive, meaning this y-value is included in the range). Thus, the range is [1, ∞) or {y | y ≥ 1}

Question 4 (1 point)
What is the product? (6.28x10^3) x 10,000
62,800
6,280,000
6,280
62,800,000

Answers

62,800,000 is the product of (6.28 x 10^3) x 10,000.

What is the product?

It refers to the result of one or more multiplications.

Given number is (6.28 x 10^3) x 10,000.

6.28 x 10^3 =  6280

Therefore, 6280 x 10,000 = 628,000,00

Hence, the product of (6.28 x 10^3) x 10,000 is  628,000,00.

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Determine the domain of the following graph:

Answers

Answer: see below

Step-by-step explanation:

The domain of a graph consists of all the input values shown on the x-axis

We want to find the left-most x value and the right-most x value.

-8, 3

since there is a hole at the point where x=3 we will use a paratensesis

D:xE[-8,3)

Misha surveyed students in her school about what writing tool they use. She found that 75 use pens; 30 of the pen users are boys. She also found that 28 boys and 32 girls use pencils. A 4-column table with 3 rows. Column 1 has entries boys, girls, total. Column 2 is labeled pens with entries 30, a, 75. Column 3 is labeled pencils with entries 28, 32, b. Column 4 is labeled total with entries c, d, e. Determine what each letter should be to complete this two-way table. A = b = c = d = e =.

Answers

The value of a,b,c,d, and e is 45, 60, 58, 77, and 135 respectively, required to complete the two-way table.

A two-way table shows the connections between two sets of category data visually. Labels are positioned at the top and left sides of the table, which has rows and columns.

The sums for each row are displayed to the right, while the sums for each column are displayed at the bottom. 

We must create a two-way table based on the issue to ascertain the worth of each letter.

| Pens | Pencils | Total |

| Boys | 30 | 28 | c |

| Girls | a | 32 | d |

| Total | 75 | b | e |

This shows the entries in the body of the table. To find the value of each letter, we need to add and subtract.

Add the entries in the table to get the total and subtract if the total is given and one value is missing.

a= 75-30 = 45

b = 28+32= 60

c= 30+28 = 58

d= 45+32= 77

e= 75+60 = 135

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| Pens | Pencils | Total |

| Boys | 30 | 28 | c |

| Girls | a | 32 | d |

| Total | 75 | b | e |

This shows the entries in the body of the table. To find the value of each letter, we need to add and subtract.

Add the entries in the table to get the total and subtract if the total is given and one value is missing.

a= 75-30 = 45

b = 28+32= 60

c= 30+28 = 58

d= 45+32= 77

e= 75+60 = 135

What is equal to 3 minus square root of eight divided by square root of 3

Answers

Answer:

approximately 1.732

Step-by-step explanation:

To solve this expression, we need to start by performing the operations inside the parentheses first. The square root of 8 is equal to 2, so 3 minus 2 is equal to 1. Then, we can divide 1 by the square root of 3, which is equal to approximately 1.732. Therefore, the expression 3 minus square root of eight divided by square root of 3 is equal to approximately 1.732.

I need to know the unit price for both a and b and what’s the better buy

Answers

Answer:

Brand A Forks $0.08, Brand B Forks $0.06, Better Buy is Brand B

Step-by-step explanation:

Unit price is price per unit (in this case, forks)

You need to find the $ for 1 fork for Brand A and B, since they have different unit prices.

total price/units = price/unit

Brand A: $1.97/25 forks = $0.0788 (rounded up is $0.08)

Brand B: $2.98/48 forks = $0.06208 (rounded up is $0.06)

Better brand is Brand B because it is cheaper.

Determine which ratio forms a proportion with 14/35 by writing the ratio in simplist form.
A) 2/7
B) 4/5
C) 3/8
D) 2/5

Answers

Divide by 7 and you will get 2/5
I believe the answer is D

Given:
CD CB CA CE   and
Prove:
   A E
You may use any style proof you prefer.

Answers

The alternate angles between two parallel lines are equal, therefore, ∠ A = ∠ E.



What is rectangle?

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel, opposite sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its breadth.

Given:

CD ≅ CB and CA ≅ CE

As you can see from the diagram, on joining BE and AD the figure will represent a rectangle ABED because the diagonals of the rectangle are equal and bisect each other.

Thus, DE || AB (Rectangle property)

∠ A = ∠ E, because the alternate angle of parallel lines is equal.

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Bethany collected 200 survey responses regarding recycling behaviors in her city. of those responses, 174 people responded that they participate in the city’s recycling program. use this information to complete the statement. round all answers to the nearest hundredth. the approximate sample proportion is____, which means that %___of the people surveyed do not participate in the city’s recycling program.

Answers

Answer:

the approximate sample proportion is 87%, which means that 13% of the people surveyed do not participate in the city’s recycling program.

2. Determine the number of real solutions of the system
You HAVE to show your work to get full credit.
(y=x²-3
y = -2x +4

Answers

The number of real solutions of the system are 2 if y=x²-3, y = -2x +4

What is meant by system of solutions?

An equation system's solution is a collection of values for the variable that concurrently fulfill each equation. Finding all of the possible sets of variable values that make up the system's solutions is necessary to solve an equation system. However, the second equation does not have a solution at (5, 4). There is often only one solution to a system of linear equations, however it is possible for there to be infinite or no solutions (parallel lines) on occasion (same line).

Given,

y=x²-3 -----(1)

y=-2x +4 -----(2)

Solving equations 1 and 2, we get

x²-3=-2x +4

x²+2x-3-4=0

x²+2x-7=0

We have to solve by using quadratic formula,

x= (-b±√b²-4ac)/2a

x= (-2±√2²-4(1)(-7))/2(1)

x= (-2±√4+28)/2

x= (-2±√32)/2

x= (-2±4√2)/2

x= -1±2√2

x= -1-2√2, -1+2√2

Thus, the system has two solutions.

Therefore, the number of real solutions of the system are 2.

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What is the measurement of angle cbd

Answers

Given that:  

Angle CBD=6x-40

Angle BFH=4x

From the given diagram, angle CBD=angle BFH ("corresponding angles")

Therefore 6x-40=4x,

                  6x-4x=40,

                   2x=40,

                    x=20

now Angle CBD= 6(20)-40

                          = 80

Find the missing number in this proportion. ?/8=16/64
A.0
B.1
C.2
D.3

Answers

Answer: C. 2

Evaluation:

We are required to find the equivalent fraction here. When simplifying 16/64, we divide both sides by 16:

16 ÷ 16 = 1

64 ÷ 16 = 4

16/64 in its simplest form is 1/4. When we multiply both the numerator and denominator by 2, we will find that:

1/4 = 2/8

Verification:

To verify this, we can multiply both parts of the fraction by 8:

2 × 8 = 16

8 × 8 = 64

Hence, we know our answer is correct.

Is 3x² 4x 15 a polynomial in one variable?

Answers

The  equation is 3x² - 4x + 15 is polynomial in one variable.

What are polynomial in one variable?

An algebraic expression with one or more terms and a non-zero coefficient is called a polynomial. A polynomial is an expression composed of variables, coefficients, and constants connected by a mathematical operator. A polynomial is an expression connected by mathematical operations like addition, subtraction, multiplication, and division. An algebraic expression with only one variable is called a polynomial in one variable.

Given equation 3x² - 4x + 15

An algebraic expression with only one variable is a polynomial in one variable.

some examples of one variable polynomial

x + 2

y+ 5

x² + ax + b

ax³ + bx + c

all the equations that contain only 1 variables are  polynomial in one variable.

Hence the expression is polynomial in one variable.

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How do you determine the relationship between the volume of a rectangular prism and pyramid?

Answers

The relationship between the volume of a rectangular prism and pyramid is defined as that the pyramid takes up 1/3 of the volume of a prism.

Here we need to identify  the relationship between the volume of a rectangular prism and pyramid.

As we all know that the volume of rectangle prism is written as,

=> Volume of a prism = (area of base) * height

Now, let us consider the volume of a pyramid that the pyramid takes up 1/3 of the volume of a prism when their bases and height are equal.

So, here the volume of a pyramid is 1/3 multiplied by the volume of a prism.

Then we get the volume of pyramid is written as,

Volume of a pyramid = 1/3 (area of the base) * height

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The m∠BOD = 46 and the m∠BOC = 26. What is the m∠COD?

Answers

The measure of the angle m∠COD is 20 degrees

How to determine the measure of the angle m∠COD?

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

The measures of the angles:

m∠BOD = 46 and m∠BOC = 26.

The measure of the angle m∠COD is the difference between of the above angles

Using the above as a guide, we have the following:

Measure of the angle m∠COD = Difference of angles m∠BOD and m∠BOC

Mathematically, this is represented as

Measure of the angle m∠COD =  m∠BOD - m∠BOC

Substitute the known values in the above equation, so, we have the following representation

Measure of the angle m∠COD =  46 - 26

Evaluate the difference

Measure of the angle m∠COD =  20

Hence, the angle is 20 degrees

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What is the variance of 2 4 6 8 10?

Answers

The variance of 2, 4, 6, 8, 10 is 8.

To calculate the variance of a set of numbers, you first need to calculate the mean of the set. The mean of 2, 4, 6, 8, 10 is 6. Then, for each number in the set, you need to calculate the difference between that number and the mean, and square the result. Finally, you need to sum those squared differences and divide by the number of items in the set.

Here's the calculation:

(2 - 6)^2 + (4 - 6)^2 + (6 - 6)^2 + (8 - 6)^2 + (10 - 6)^2 = (-4)^2 + (-2)^2 + 0^2 + (2)^2 + (4)^2 = 16 + 4 + 0 + 4 + 16 = 40

40 / 5 = 8

So, the variance of 2, 4, 6, 8, 10 is 8.

How does variance work?

Variance is a statistical measurement of the variation in numbers within a data set. Variance, in more precise terms, indicates how far apart any number in the set is from both the mean (average) and, consequently, from every other number in the set.

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What expression is equal to x squared minus 6x

Answers

Answer:

Step-by-step explanation:

[tex]x^{2} -6x[/tex]

In circle H with m/GHJ = 54°, find the m/GKJ.
Answer:
H
G
K
Submit Answer
DEVEL
attempt 1 out of 2

Answers

The measure of the angle ∠GKJ, m∠GKJ, at the circumference of the circle H, which is subtends the same arc GJ as the angle ∠GHJ at the center of the circle is 27°

What is an arc of a circle?

An arc of a circle is a part of the circle's circumference.

The measure of angle ∠GHJ, m∠GHJ = 54°

The measure of angle ∠GKJ, m∠GKJ = Required

Please find attached a possible drawing of the circle H created with MS Word and based on a similar question posted online

The circle, Angle at the Center Theorem states that the angle subtended at the center by arc is twice the angle subtended by the arc at the circumference of the circle.

The question indicates that the angle subtended by the arc GJ at the center of the circle, ∠GHJ = 2 × The angle subtended by the arc GJ at the circumference, ∠GJK

Therefore;

m∠GHJ = 2 × m∠GKJ

54° = 2 × m∠GKJ

m∠GKJ = 54° ÷ 2 = 27°

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g what word is used to say the probability of an adverse outcome? question 12 options: risk variance random statistics none of the above

Answers

Risk is used to say the probability of an adverse outcome.

Option (a) (Risk) is the correct choice.

Through risk assessment, businesses, governments, projects, and investors may determine the likelihood that a bad occurrence will have a detrimental effect on their operations.

Risk assessment is crucial for figuring out the value of a particular project or investment and the appropriate process(es) to manage such risks.

Different methods may be used to evaluate the risk and reward tradeoff of a possible investment opportunity using the information provided by risk analysis.

A risk analyst begins by determining what may go wrong.

These drawbacks must be compared to a probability meter that assesses the chance that the event will occur.

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The correct question may be:

What word is used to say the probability of an adverse outcome?

(a) risk

(b) variance

(c) random statistics

(d) None of the above

What is the first step to graph an inequality?

Answers

Always begin by separating the variable y from the inequality's left side is the first step to graph an inequality.

What are the steps to graphing an inequality?

The graph of a two-variable inequality is the set of points that describe all solutions to the inequality. The coordinate plane is split in half by a boundary line created by a linear inequality, with one-half representing the solutions to the inequality.

Step 1: Always begin by separating the variable y from the inequality's left side.

Step 2: Replace the symbol for inequality with that for equality.

Step 3: In the xy plane, graph the boundary line from step 2. You are creating the boundary line that would divide or cut the xy-plane into two sections in this stage.

Step 4: Shading one side or area of the boundary line is the final step.

Step 5: Use this optional step to check or confirm that you have shaded the boundary line's side appropriately.

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passes through (6,3) and (14,-5)

Answers

Answer:

Slope: m = (y2 - y1)/(x2 - x1) = (-5 - 3)/(14 - 6) = -8/8 = -1

The equation of the line is y = -x + b

Substitute (6,3) into the equation:

3 = -6 + b

b = 9

Therefore, the equation of the line is y = -x + 9

Step-by-step explanation:

What is the median of the following data sample 2 7 4 8 9 10 6 12 13?

Answers

There are 9 values in the sample: 2, 4, 6, 7, 8, 9, 10, 12, and 13. Since there are an odd number of values, the median is the middle value. In this case, the median is the 5th value, which is 8.

The median is a measure of central tendency, which means it is used to describe the "typical" or "average" value in a sample of data. To find the median, we first need to arrange the data in numerical order. In this case, the data is already in numerical order, so we can proceed directly to finding the median.

There are 9 values in the sample: 2, 4, 6, 7, 8, 9, 10, 12, 13. Since there are an odd number of values, the median is the middle value. In this case, the median is the 5th value, which is 8. This means that 8 is the middle value, with 4 values smaller than it and 4 values larger than it.

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12 pencils cost 1.80 pounds. How many pencils can be bought for 6 pounds?

Answers

Answer:

Step-by-step explanation:i think to answer is either 90p or 9p

Answer:

90p or 9p

Step-by-step explanation:

Where are the asymptotes for the following function located?
f (x) = startfraction 7 over x squared minus 2 x minus 24 endfraction

Answers

The asymptotes for the given function f(x) = 7/(x^2-2x-24) are located at

x = -3 and x = 8.

The asymptotes of a function are the lines that the graph approaches, but never touches as it continues to infinity. In the given function, f(x) = 7/(x^2-2x-24), the asymptotes are located at x = -3 and x = 8.

To find the asymptotes of a function, you first need to factor the denominator of the function. In this case, the denominator is[tex]x^2-2x-24,[/tex]which can be factored into (x+3)(x-8). This means that there are two potential zeroes in the denominator, x=-3 and x=8. These two points are the two asymptotes of the graph of the given function.

To explain further, the two asymptotes divide the x-axis into three intervals. On the interval (-infinity, -3), the graph of the function will approach negative infinity as x approaches -3 from the left. On the interval (-3, 8), the graph of the function will approach positive infinity as x approaches 8 from the right. On the interval (8, infinity), the graph of the function will approach negative infinity as x approaches 8 from the right.

In summary, the asymptotes for the given function f(x) = 7/(x^2-2x-24) are located at x = -3 and x = 8.

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1. Find the length of arc PRQ: Show your work.

Answers

Answer:

The length of arc PRQ is 16.7 in.

Step-by-step explanation:

Given;r = 8 inθ = 120°

So,

arc length = 2πr × (θ/360)

arc length = 2(3.14)(8) × (120/360)

arc length = 2(3.14)(8) × (120/360)

arc length = 50.24 × (1/3)

arc length = 16.7 inches

Thus, The length of arc PRQ is 16.7 in.

What is the standard deviation for the set of numbers 2 4 6 8 10 12 14?

Answers

We calculated standard deviation 4 for the given set of numbers.

What means standard deviation?

In the statistics, standard deviation is an estimation that implies how far each data value apart from the mean value. A high standard deviation indicates that all data are dispersed around the mean. And a low score of standard deviation implies data values are close enough in relation to the mean.

How to calculate standard deviation for the given data?

Let, X be the list of data value, X² be the square of the data value.

    X          X²

   2           4

   4           16

  6            36

  8            64

  10         100

  12         144

  14        196

we add all the data value and get ∑X = 56

We add all the squared value and get ∑X² = 560

Standard deviation is calculated by using the formula

SD =

√ [∑X²/N - (∑X/N) ²]

where N is the number of data present N= 7

SD = √[560/7 - (56/7)²]

     = 4

Hence, calculated standard deviation is 4

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(1) The Court is of the opinion that Dred Scott is not a citizen of Missouri within the meaning of the Constitution and is not entitled to sue in its courts.. (2) The right of property in a slave is expressly affirmed in the Constitution. And the government is pledged to protect this right in all future time if the slaves escapes from his owner.. (3) Upon these considerations, it is the opinion of the Court that the act of Congress which prohibited a citizen from holding and owning property of this kind [slaves] in the territory of the U.S. north of the line mentioned is not [permitted] by the Constitution and is therefore void. Ruling of Justice Roger Taney, Dred Scott v. Sanford (1857) Based on the excerpt, which conclusion can be drawn about Chief Justice Taneys decision in the Dred Scott case? aScott was a citizen of the United States. bBy living in Missouri, Scott was no longer a slave. cScott was considered as property that could not be taken from its owner. dThe Missouri Compromise allowed Scott to bring a case to the Supreme Court. In what ways are female pelvic bones different from male pelvic bones? Check all of the boxes that apply.A.) widerB.) deeperC.) heavierD.) rounderE. )shallower***right answers on Edge are A, D & E. Because The female pelvic bones are different from male pelvic bones to allow for childbirth. The female pelvis is wider, rounder, and shallower than the male pelvis. =) what us counterculture Answer correctly and dont bother coming to this question if you have the wrong answer. I will increase your salary from $12,000 to $15,000. What is the percentage increase Haha posting the pics of me again cuz why not 1/10for me i pick 5/10 67. There are 15 clarinet players, 12 fluteplayers, and 7 saxophone players in amarching band. How many ways can theband director create a trio consisting ofone clarinet player, one flute player, andone saxophone player?A. 34 waysB. 187 waysC. 1,260 waysD. 1,500 ways PLEASE HELP ASAP!! [tex]\frac{3}{4}[/tex] t = -9 what does t equal? Find the area of the triangle below. The acceleration due to gravity on the Moon's surface is known to be about one-sixth of the acceleration due to gravity on the Earth.A rock falls under a gravitational force of 16.3 N on the moon. Please help me figure out the mass of the rock. Find the area of the shaded region. Round your answer to the nearest tenth.5 in. You and your family visit Orlando for a week. While there, you decide to go to Universal Studios. When you arrive, you notice that each family member can buy a day pass for $115 or a two-day pass for $150. If you want a three-day pass, the price is $170. Suppose your benefit, measured in utility, is equal to $120 in value the first day you go to the park, $50 more if you go a second day, and $15 more for the third day. What ticket, if any, should you buy Rouse Corporation's December 31, 2012 balance sheet showed the following: 8% preferred stock, $20 par value, cumulative, 20,000 shares authorized 10,000 shares issued $150,000 Common stock, $10 par value, 2,000,000 shares authorized 1,950,000 shares issued, 1,930,000 outstanding 19,000,000 Paid-in capital excess of par --- preferred stock 60,000 Paid-in capital excess of par --- common stock 27,000,000 Retained earnings 7,650,000 Treasury stock (20,000 Shares) 630,000 Rouse's total stockholders' equity was: lI need help please answer Which best summarizes a concept related to the work-energy theorem?- When work is positive, the environment does work on an object.- When work is negative, the environment does work on an object.- When work is positive, the kinetic energy in a system remains constant.- When work is negative, the kinetic energy in a system remains constant.this is times pls help! In a quick write, decide if the United States was justified in dropping the two atomic bombs on Japan in 1945. Take astance and make a claim can two fractions with the same numerator and different denominators be equal What organization did the Iroquois form to promote peace among their people? how do i transform this equation 5(3x+9)-2x=15x-2(x-5) What are the solution to the equation (x+3)^2=7