1. The law of demand predicts that
a. the more consumers purchase a good, the greater the demand for the good
b. consumers are willing to buy more of a good at a lower price than at a higher price
c. as prices go up, the quantity of a particular good that consumers will buy also rises
d. consumers are willing to buy more of a good at a higher price than at a lower price
2. The function of price in a market system
a. is a way of adjusting the balance between the forces of supply and demand
b. acts as an incentive to producers to either increase or decrease the quantity supplied
c. is a means of rationing the available supply among those who demand it
d. all of these
3. A key advantage of the corporate form of business organization is
a. that the business lives on even if the owners of the business die
b. limited liability of stockholders
c.
the ability to raise significant amounts of financial capital
d.
all of these

Answers

Answer 1

1) consumers are willing to buy more of a good at a lower price than at a higher price  Option B

2) All of these

3) All of these

What is the law of demand?

An economic theory known as the law of demand states that, all other things being equal, if a good or service's price rises, consumers will demand fewer units of it, and vice versa.

Price and quantity demanded are inversely related, to put it another way. This is a fundamental concept in economics and plays a key role in shaping market behavior and pricing strategies.

The price system is a way of adjusting the balance between the forces of supply and demand. A key advantage of the corporate form of business organization is the ability to raise significant amounts of financial capital.

Learn more about demand and supply:https://brainly.com/question/14741584

#SPJ1


Related Questions

Assume that when human resource managers are randomly​ selected, ​42% say job applicants should follow up within two weeks. If 5 human resource managers are randomly​ selected, find the probability that at least 2 of them say job applicants should follow up within two weeks.

Answers

This is a binomial probability problem, where each human resource manager can be considered a Bernoulli trial with a success probability of 0.42 (i.e., the probability that they say job applicants should follow up within two weeks).

The probability of getting exactly k successes out of n trials is given by the binomial probability formula:

P(k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) is the number of ways to choose k successes out of n trials, p is the success probability, and (1-p) is the failure probability.

To find the probability of at least 2 successes out of 5 trials, we need to sum the probabilities of getting 2, 3, 4, or 5 successes:

P(at least 2) = P(2) + P(3) + P(4) + P(5)

P(2) = (5 choose 2) * 0.42^2 * 0.58^3 = 0.3249
P(3) = (5 choose 3) * 0.42^3 * 0.58^2 = 0.1645
P(4) = (5 choose 4) * 0.42^4 * 0.58^1 = 0.0419
P(5) = (5 choose 5) * 0.42^5 * 0.58^0 = 0.0053

P(at least 2) = 0.3249 + 0.1645 + 0.0419 + 0.0053 = 0.5366

Therefore, the probability that at least 2 out of 5 human resource managers say job applicants should follow up within two weeks is approximately 0.5366.

A continuous random variable has a rectangular distribution f(x)={█(1/(b-a):a

Answers

The rectangular distribution f(x) = 1/(b-a) for a ≤ x ≤ b is a valid probability density function.

What is distribution?

In mathematics and statistics, a distribution refers to the pattern of values or frequencies of a variable within a set of data. It describes the spread and behavior of data and can be represented by graphs, tables, or mathematical functions.

According to given information:

The rectangular distribution is a continuous probability distribution where the probability density function (PDF) is constant over a certain interval and zero elsewhere. In this case, we have a rectangular distribution with parameters a and b, where a is the lower bound of the interval and b is the upper bound of the interval.

The probability density function (PDF) of this rectangular distribution is given by:

f(x) = 1/(b-a) for a ≤ x ≤ b

and f(x) = 0 elsewhere.

To verify that this function is a valid probability density function, we need to check two conditions:

Non-negativity: f(x) is non-negative for all xTotal probability: The area under the curve of f(x) is equal to 1

The first condition is satisfied because f(x) is always positive on the interval [a, b]. The second condition is satisfied because the area under the curve of f(x) from a to b is equal to:

[tex]\int\limits^a_b f(x) dx = \int\limits^a_b (1/(b-a)) dx = [x/(b-a)]_b^a= (b-a)/(b-a) = 1[/tex]

Therefore, the rectangular distribution f(x) = 1/(b-a) for a ≤ x ≤ b is a valid probability density function.

To know more about distribution visit:

https://brainly.com/question/23286309

#SPJ1

name the following polyhedra:​

Answers

a. The polyhedron is a triangular prism

b. The polyhedron a pentagonal pyramid

Determining the names of the polyhedra

From the question, we are to determine the names of the given polyhedra.

a. The given polyhedra is a three-dimensional geometric shape that consists of two congruent parallel triangles as the base and three rectangular faces that connect the corresponding sides of the triangles.

This shape is known as a triangular prism.

b. The polyhedra is a three-dimensional geometric shape that consists of a pentagonal base and five triangular faces (also known as lateral faces) that meet at a common vertex point above the base. The lateral faces connect the corners of the pentagonal base to the apex, forming five triangular sides that taper upwards to meet at a single point.

This shape is known as a pentagonal pyramid.

Learn more on Determining the names of the polyhedra here: https://brainly.com/question/11955722

#SPJ1

How many solutions does this equation have 5(2x − 3) = 15

Answers

Answer: one solution x=3

Step-by-step explanation:

this problem is very simple, we need to figure out out what number(x) when multiplied by 2, and then you minus 3 (2x-3)

we need to then multiply this number by 5 to get 15, so 5x3 is what we need to find, so then we need to have the number 6 as 2x, or 3 as x.

so we end up with equation 5(2*3-3) or, 5(6-3), which equals 5*3= 15.

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

Answers

Answer:

B and C are right

Step-by-step explanation:

Total Number of Cats: 58

a is wrong because there are 15 cats in the 6 month to 1 year range and 15/58 is 26% not 35%

b is right because there are 19 cats 1 year or older and 11 cats took more than 1 month to be adopted 11/19 is 58% making it correct

c is right because 38 cats were adopted in a month or less and 38/58 is 66%

d is wrong because 20 cats took longer than a month to adopt and 3 were younger than 3 months and 3/20 = 15% not 12.5%

e is wrong because 18 cats were adopted in 1 to 7 days and 4 were 6 months to 1 year and 4/18 = 22%

make a number line a ns mark all the points that represent the following values of x.

x≤-2 and x<-5

Answers

All the points less than -5 will be marked on the number line.

To represent the values of x where x ≤ -2 and x < -5 on a number line, we start by marking a point at -2 and shading everything to the left of it since x is less than or equal to -2. Next, we add another shading to the left of -5 since x is also less than -5. We then mark an open circle at -5 since x is not equal to -5.

Our number line would look like this as image attached below.

The shaded region to the left of -5 represents all values of x that are less than -5. The shaded region between -5 and -2 represents all values of x that are between -5 and -2, including -5 and -2. The open circle at -5 indicates that x cannot equal -5, but can be any other value less than -5.

To learn more about number line here:

https://brainly.com/question/16191404

#SPJ1

Nico, Aditi, Erick, Raj, and Sandra are solving the equation. Two-fifths (5 + x) = 8 Each student begins to solve the problem as shown. Nico Aditi Erick Two-fifths (5 + x) = 8. (Five-halves) two-fifths (5 + x) = 8 (five-halves) Two-fifths (5 + x) = 8. Five-halves (5) + five-halves x = (five-halves) 8 Two-fifths (5 + x) = 8. Two-fifths (5 + x) minus 5 = 8 minus 5 Raj Sandra Two-fifths (5 + x) = 8. (one-half) two-fifths (5 + x) = 8 (one-half) Two-fifths (5 + x) = 8. two-fifths (5) + two-fifths x = 8 Which students are correct in their approach to solving the problem? Select three options. Nico Aditi Erick Raj Sandra

Answers

The students that are correct in their approach to solving the problem are Nico, Raj and Sandra.

How to explain the information

It should be noted that we can start by simplifying the left side of the equation by distributing the two-fifths:

(2/5)(5) + (2/5)x = 8

2 + (2/5)x = 8

Next, the next thing is that we can isolate the variable term on one side of the equation by subtracting 2 from both sides:

(2/5)x = 6

x = 6 / (2/5)

x = 6 * (5/2)

x = 15

Therefore, the solution to the equation is x = 15.

Learn more about word problem on

https://brainly.com/question/21405634

#SPJ1

LANDSCAPING You are building a rectangular brick patio
surrounded by crushed stone in a rectangular courtyard as
shown. The crushed stone border has a uniform width x (in
feet). You have enough money in your budget to purchase
patio bricks to cover 140 square feet. Solve the equation
140 (202x)(16-2x) to find the width of the border.
16

Answers

Solving the equation, the calculated value of the width of the border is 3 feet

Solving the equation to find the width of the border.

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

140 (202x)(16-2x)

Express properly

So, we have

(20 - 2x)(16 -2x) = 140

The above equation can be solved graphically

When the equation (20 - 2x)(16 -2x) = 140 is entered in a graphing tool, we have the solution to be

x = 3 and x =15

The value 15 would make the lengths invalid

So, we have

x = 3

Hence, the width of the border is 3 feet

Read mroe about equations at

https://brainly.com/question/25841119

#SPJ1

Suppose that a varies directly with the square of y and inversely with the cube root of
z. If x= 32 when y = 4 and z = 8, find a when y = 2 and z = 27.

Answers

The value of x when the value of y = 2 is 8 and the value of x when the value of z = 27 is 48 using the direct and inverse variations.

Given that,

x varies directly with the square of y.

For some constant m, x = m y²

x varies inversely with the cube root of z.

For some constant n, x = n ∛z

We have when x = 32, the value of  y = 4.

16m = 32

m = 2

Hence the direct variation equation is, x = 2 y²

We have when x = 32, z = 8.

2n = 32

n = 16

Hence the inverse variation equation is, x = 16 ∛z

When y = 2,

x = 2 × 2² = 8

When z = 27

x = 16 ∛27 = 16 × 3 = 48

Hence the value of x are 8 and 48 respectively when y = 2 and z = 27.

Learn more about Variation Relationships here :

https://brainly.com/question/11592410

#SPJ1

1. ¿Cuánto es la energía necesaria para aumentar la temperatura del cilindro de aluminio desde la temperatura ambiente hasta
la temperatura final?(5pts)
2. ¿Cuánto es la energía necesaria para aumentar la temperatura del cilindro de latón desde la temperatura ambiente hasta la
temperatura final? (5pts)
3. ¿Qué valores numéricos se utilizaron para realizar la grafica de potencia vs tiempo? (5pts)

Answers

Answer:

can't understand. I don't understand this language. Sorry

Jane is buying a new sports car for $68,000. The dealer is providing financing at an annual rate of 15% using the add-on method. If Jane wants to pay off the car in 3 years, what will
her monthly payment be?
(Round to the nearest cent

Answers

Answer:

$2,738.89/per month

Step-by-step explanation:

this is a loan shark.  15% is robbery.

The Add on Method is an alternative method of paying interest after it is added onto the principal at maturity. In this method, the interest on the loan is calculated annually and multiplied by the number of years left for repayment.

Calculate the annual interest: Multiply the interest rate by the amount you originally borrowed: 15% x $68,000 = $10,200.

Calculate the add-on interest amount: Multiply the annual interest amount by the number of years in the loan: $10,200 x 3 years = $30,600.

so total she'll have to pay over 3 years = 98600

98600/36 months = 2738.89/per month

A trough at the end of a gutter spout is meant to direct water away from a house. The homeowner makes the trough from a rectangular piece of aluminum that is 22IN long and 4 IN wide. He makes a fold along the two long sides a distance of inches from the edge.

(a) Write a function to represent the volume in terms of x

(b) What value of x will maximize the volume of water that can be carried by the gutter?

(c) What is the maximum volume?

Answers

a) The function that represents the volume of the trough in terms of x is  V(x) = 88x - 8x².

b) x = 5.5 inches.

c) The maximum volume is 0 cubic inches.

What is a function?

A function is a mathematical concept that describes a relationship between two sets of values, typically represented as variables. A function maps each element of the first set, called the domain, to a unique element of the second set, called the range. In other words, a function assigns a single output value to each input value.

For example, consider the function f(x) = x². The domain of this function is all real numbers, and the range is all non-negative real numbers. For each value of x, the function f(x) returns the square of that value.

According to the given information

(a) Let x be the distance in inches that the homeowner makes the fold along the two long sides of the rectangular piece of aluminum. Then, the height of the resulting trough will be x inches, and the length of the trough will be 22 - 2x inches (since the fold reduces the length by 2x inches). The width of the trough will still be 4 inches.

The volume of the trough can be found by multiplying its length, width, and height:

V(x) = (22 - 2x) * 4 * x

V(x) = 88x - 8x²

So, the function that represents the volume of the trough in terms of x is V(x) = 88x - 8x².

(b) To find the value of x that maximizes the volume of water that can be carried by the gutter, we need to find the maximum point of the function V(x). We can do this by taking the derivative of V(x) with respect to x, setting it equal to zero, and solving for x:

V'(x) = 88 - 16x

88 - 16x = 0

16x = 88

x = 5.5

Therefore, the value of x that maximizes the volume of water that can be carried by the gutter is x = 5.5 inches.

(c) To find the maximum volume, we substitute x = 5.5 into the function V(x):

V(5.5) = 88(5.5) - 8(5.5)^2

V(5.5) = 242 - 242

V(5.5) = 0

Therefore, the maximum volume of water that can be carried by the gutter is 0 cubic inches.

To know more about volume visit:

brainly.com/question/1578538

#SPJ1

rewrite the equation in vertex form by completing the square.

f(x) = (3x-9)(x+1)

Answers

The vertex form of the quadratic equation is:

f(x) = 3*(x - 1)² + 12

How to rewrite the quadratic equation?

Remember that for a quadratic equation whose vertex is at (h, k) and the leading coefficient is a, we can write it in the vertex form as:

y = a*(x - h)² + k

Here we have:

f(x) = (3x-9)(x+1)

We can rewrite that as:

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

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

Thus the leading coefficient is 3.

The x-value of the vertex is the midpoint the two x-intercepts x = 3 and x = -1, then:

h = (3 - 1)/2

h = 2/2

h = 1

And to get the y-value, we need to evaluate in x = 1.

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

f(2) = 3*-2*2 = -12

So the vertex is (1, 12), then the vertex form is:

f(x) = 3*(x - 1)² + 12

Learn more about quadratic equations

https://brainly.com/question/1214333

#SPJ1

Which statement is true?

3 x (4 + 2) − 5 = 5 x (6 + 3) ÷ 3
3 x (one-half x 8) ÷ 6 = 8 ÷ (one-fourth x 16) + 2
6 + (2.5 x 5) − 3.5 = 14 ÷ (3.5 x 2) + 8
5 x (4 + 9 ÷ 3) = 3 x (3 + 5) + 11

Answers

The last statement 5 x (4 + 9 ÷ 3) = 3 x (3 + 5) + 11 is true.

All other statements are false.

What is PEDMAS rule ?

The PEDMAS rule is a rule in mathematics which tells us how to evaluate an arithmetic expression. By an arithmetic expression we mean expressions like 5 x (6 + 3) ÷ 3 and 14 ÷ (3.5 x 2) + 8.

Each such expression has a value. The PEDMAS rule gives us a sequence of steps, following which we can correctly find the value of an arithmetic expression.

The letters in the word PEDMAS stand for P : Parenthesis,

E : Exponentiation,

D: Division,

M : Multiplication,

A : Addition,

S : Subtraction.

According to this rule we must first

1. Evaluate any parenthesis, that is any expression inside any parenthesis 2. Then any exponential and nth roots.

3. Then evaluate any divisions.

4. Then any multiplication.

5. Then any addition.

6. Finally any subtraction.

This rule is also called the BODMAS rule.

The first two letters stand for Bracket and OF.

In the given expressions:

3 x (4 + 2) − 5 = 3 x 6 - 5 = 18 - 5 = 13,

while 5 x (6 + 3) ÷ 3 = 5 x 9 ÷ 3 = 5 x 3 = 153 x (one-half x 8) ÷ 6 = 3 x 4 ÷ 6 = 2,

while 8 ÷ (one-fourth x 16) + 2 = 8 ÷ 4 + 2 = 2 + 2 = 46 + (2.5 x 5) − 3.5 = 6 + 12.5 -3.5 = 15,

while 14 ÷ (3.5 x 2) + 8 = 14 ÷ 7 + 8 = 2 + 8 = 105 x (4 + 9 ÷ 3) = 5 x (4 + 3) = 5 x 7 = 35,

while 3 x (3 + 5) + 11 = 3 x 8 + 11 = 24 + 11 = 35

To know more about PEDMAS rule visit:

https://brainly.com/question/24086845

#SPJ1

Answer: d eez

Step-by-step explanation:

Consider the equation (y - 4) = 3(x - 5). Convert the equation from point-slope form to slope-intercept form.

Answers

The slope-intercept form of (y - 4) = 3(x - 5) is expressed as:

y = 3x - 11

How to Convert an Equation From Point-slope Form to Slope-intercept Form?

The slope-intercept form is expressed as y = mx + b, where we have the variables:

m as the slope

b as the y-intercept.

Given the equation in point-slope form as (y - 4) = 3(x - 5), we can convert as follows:

(y - 4) = 3(x - 5)

y - 4 = 3x - 15

y - 4 + 4 = 3x - 15 + 4

y = 3x - 11

Learn more about the slope-intercept form on:

https://brainly.com/question/30104695

#SPJ1

HELP DOING CORRECTIONS DUE IN A HOUR GIVING BRAINLIEST AND 25 POINS

Answers

Answer: a = 9

Step-by-step explanation:

The triangle follows the 45-45-90 rule, meaning:

- This is the only isosceles triangle where the Pythagorean theorem can be used.

There are 2 ways to solve this problem...

The easy way is to identify the fact that the sides of a 45-45-90 triangle will be:

– the sides opposite the 45° angles will be 'a'

– the hypotenuse is a•[tex]\sqrt{2[/tex]

The hard way will help visualize this:

Since there's a right angle, you can use the Pythagorean theorem

a² + a² = c² = [tex](9\sqrt{2})^{2}[/tex]

2a² = [tex](9\sqrt{2})^{2}[/tex]

2a² = (9²•2) = 162

a² = 81

a = 9

Kareem received a $1700 bonus. He decided to invest it in a 3-year certificate of deposit (CD) with an annual interest rate of 1.33% compounded annually.

Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas.

(a) Assuming no withdrawals are made, how much money is in Kareem's account after 3 years? $?

(b) How much interest is earned on Kareem's investment after 3 years? $?

Answers

a) Assuming no withdrawals are made, the future value in Kareem's account after 3 years is $1,768.74.

b) After 3 years, the interest earned on Kareem's investment is $68.74.

What determines the interest and the future value?

The future value and the interest are determined by the investment (present value) and the interest rate, including the compounding periods.

The future value of a present-value investment can be determined using an online finance calculator, including the total interest earned on the investment.

N (# of periods) = 3 years

I/Y (Interest per year) = 1.33%

PV (Present Value) = $1,700

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $1,768.74

Total Interest = $68.74

Learn more about the future value and compounding at https://brainly.com/question/25805668.

#SPJ1

Caleb has a job that pays $11.15 per hour for a 40-hour work week. He is paid time and a half for every hour over 40 that he works in a week. What will his gross pay be for a week in which he works 46 hours?

Answers

Answer:

Caleb's regular pay for 40 hours of work is:

$11.15/hour × 40 hours = $446

For the 6 hours of overtime, he is paid time and a half, which is:

$11.15/hour × 1.5 = $16.725/hour

So for the 6 hours of overtime, his pay is:

$16.725/hour × 6 hours = $100.35

His total gross pay for the week is the sum of his regular pay and his overtime pay:

$446 + $100.35 = $546.35

Therefore, Caleb's gross pay for a week in which he works 46 hours is $546.35.

ACCOUNTING
Differential Analysis for a Discontinued Product

A condensed income statement by product line for Lavonia Beverage Inc. indicated the following for Vim Cola for the past year:

Line Item Description Amount
Sales $235,000
Cost of goods sold (111,000)
Gross profit $124,000
Operating expenses (143,000)
Operating loss $(19,000)
It is estimated that 15% of the cost of goods sold represents fixed factory overhead costs and that 20% of the operating expenses are fixed. Because Vim Cola is only one of many products, the fixed costs will not be materially affected if the product is discontinued.

a. Prepare a differential analysis dated November 2 to determine whether Vim Cola should be continued (Alternative 1) or discontinued (Alternative 2). If an amount is zero, enter "0". If required, use a minus sign to indicate a loss.

Answers

Based solely on financial considerations, Vim Cola should be discontinued.

We have,

Differential analysis to determine whether Vim Cola should be continued or discontinued:

Differential Analysis:

Continue vs. Discontinue Vim Cola table is given below.

The differential analysis shows that if Vim Cola is continued (Alternative 1), the company will have sales of $235,000, a cost of goods sold of $111,000, and operating expenses of $143,000.

This will result in a gross profit of $124,000 and an operating loss of $19,000.

If Vim Cola is discontinued (Alternative 2), the company will have no sales or cost of goods sold related to Vim Cola, but will still have $25,000 of fixed operating expenses.

This will result in an operating loss of $25,000.

The difference between the two alternatives is an operating income(loss) of ($6,000).

Since the difference is negative, discontinuing Vim Cola would result in a better financial outcome for the company.

Therefore,

Based solely on financial considerations, Vim Cola should be discontinued.

Learn more about the differential analysis here:

https://brainly.com/question/31491539

#SPJ1

Here's a differential analysis for Lavonia Beverage Inc. to decide whether Vim Cola should be continued or discontinued:

Differential Analysis

Alternative 1: Continue Vim Cola

Alternative 2: Discontinue Vim Cola

Sales revenue $235,000 $0

Cost of goods sold:

Variable costs (111,000) 0

Fixed factory overhead costs (16,650) 0

Total cost of goods sold (127,650) 0

Gross profit $107,350 $0

Operating expenses:

Variable expenses (114,400) (28,800)

Fixed expenses (28,600) 0

Total operating expenses (143,000) (28,800)

Operating income (loss) $(35,650) $(28,800)

The analysis shows that if Lavonia Beverage Inc. continues to sell Vim Cola, it will generate sales revenue of $235,000 and incur total variable costs of $111,000.

Additionally, 15% of the cost of goods sold, or $16,650, is fixed factory overhead costs. Total cost of goods sold for Vim Cola is $127,650 ($111,000 + $16,650).

On the other hand, if Vim Cola is discontinued, the company will lose the sales revenue of $235,000 but will also save on the variable and fixed costs associated with the product.

Variable operating expenses are estimated to be 20% of total operating expenses, or $28,800. Fixed operating expenses associated with Vim Cola are estimated to be 20% of total fixed operating expenses, or $28,600.

Thus, based on the analysis, it appears that Vim Cola is generating a loss of $35,650 if it continues to be sold, while discontinued it would result in a loss of $28,800. Therefore, it may be advisable to discontinue Vim Cola.

For more details regarding Differential Analysis, visit:

https://brainly.com/question/31491539

#SPJ1

A different patient had been admitted before your shift, and you are reading their chart. They have been in treatment for 8 hours, so it is time to change their fluid intake.



Part of Body Burned?
(1 = yes, 0 = no)
Head 0
Left Arm 0
Right Arm 1
Upper Front Torso 1
Upper Back Torso 1
Lower Front Torso 1
Lower Back Torso 0
Upper Left Leg 1
Upper Right Leg 1
Lower Left Leg 1
Lower Right Leg 0


Given that this patient's weight/mass is 97 kg, determine how much fluid they should receive per hour in the next 16 hours of their care. Answer to the nearest hundredth of a liter (two decimal places).

Answers

Answer:

Based on the patient's chart, the percentage of their body burned is:

(0 + 0 + 1 + 1 + 1 + 1 + 0 + 1 + 1 + 1 + 0) / 11 = 7 / 11 = 0.64

Using the Parkland formula, we can calculate the fluid intake needed in the first 24 hours as:

4 mL x weight in kg x % body burned = 4 x 97 x 0.64 = 248.32 mL

Since the patient has already been in treatment for 8 hours, we need to calculate the fluid intake needed for the remaining 16 hours:

248.32 mL / 24 hours x 16 hours = 132.22 mL

Therefore, the patient should receive approximately 132.22 mL of fluid per hour in the next 16 hours of their care. Rounded to two decimal places, this is 132.22 mL per hour.

7x+3=9x-3-2x find the solution​

Answers

This doesn’t have a resolution because it would be

7x + 3 = 9x - 3 - 2x
7x + 3 = 7x - 3
7x - 7x + 2 = 7x - 7x - 3
0 + 2 = -3
0 + 2 - 2 = -3 -2
0 = -5
Which is imposible

Dan bought 3 CDs that were each the same price. Including sales tax, he paid a total of $50.40 . Of that total, $2.10 was tax. What was the price of each CD before tax?

Answers

Answer:

see below

Step-by-step explanation:

50.4 -2.1 = 48.3

48.3/3 = 16.1 each

Answer: $16.10

Step-by-step explanation:

$50.40-$2.10=$48.3

$48.3/3=$16.1

Can someone help me please with this

Answers

The area of a regular decagon with a radius of its circumscribed circle equal to 9 is approximately 119.1 to the nearest tenth

How do you calculate for the area of a regular decagon

To calculate the area of a regular decagon with a radius of its circumscribed circle equal to 9, we need to first find the length of its sides.

For a regular decagon, the relationship between the radius of its circumscribed circle (R) and the length of its sides (a) is:

a = R × sqrt(2 - 2×cos(360/10))

Simplifying this equation, we get:

a = R × sqrt(2 - 2×cos(36))

a ≈ 5.5629

Now that we have the length of the sides, we can use the formula for the area of a regular decagon:

A = (5/4) × a² × (sqrt(5 + 2 × sqrt(5)))

A = (5/4) × (5.5629)² × (sqrt(5 + 2 × sqrt(5)))

A = 154.7293/4 ×

A ≈ 119.0526

Therefore, the area of a regular decagon with a radius of its circumscribed circle equal to 9 is approximately 119.1

Read more about decagon here:https://brainly.com/question/1462509

#SPJ1

Solve the equation 120 + 1814
x = 180 − 134
x for x.

Answers

Answer:

0.033

Step-by-step explanation:

120+1814x=0

180-134x=0

=0.033

Answer:

i need the points i think the other guy got it right anyway:)

Step-by-step explanation:

Surface area of 16ft x 5ft x 14ft

Answers

The surface area of a rectangular prism with dimensions 16ft x 5ft x 14ft can be calculated using the formula:

Surface Area = 2(lw + lh + wh)

Plugging in the values, we get:

Surface Area = 2(16*5 + 16*14 + 5*14) = 2(80 + 224 + 70) = 2(374) = 748 sq ft

Therefore, the surface area of the rectangular prism is 748 square feet.

Can anyone please explain and help me with this?!

Answers

The z-scores are given as follows:

Sam: Z = -1.42.Beth: Z = -1.84. -> more convincing.

How to obtain the z-scores?

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution. -> this means that the higher the absolute value of the z-score, the more convincing it is.

Sam's z-score is given as follows:

Z = (185.67 - 186.17)/0.351

Z = -1.42.

Beth's z-score is given as follows:

Z = (111.65 - 111.9)/0.136

Z = -1.84.

More can be learned about z-scores at https://brainly.com/question/25800303

#SPJ1

100 points!!!

Angel uses this method to work out some harder divisions. Use Angel's method to work these out.
a. 225 ÷ 5 b. 363 ÷ 5 c. 373 ÷ 3
d. 447 ÷ 6 e. 758 ÷ 8 f. 920 ÷ 12

This is kinda easy but I just can't figure out What's the method. Please solve at least 3 questions if you can So I have a better understanding of what's happening.
Angel's Method:

Answers

for the first one 225÷5=45. For the second one to do 363÷5 you have to decrease 363 to the closest number divisible by 5 and that number is 360 so 360÷5=72 then for the remaining 3 instead of doing 3÷5 you can do 30÷5 then bring the decimal point 1 digit forward so 30÷5=6 then when you bring the decimal point forward its 0.6 then add both and its 72.6. for the third one its the same thing so 372÷3=124 but since you cant do 10÷3 you have to use fractions so 1÷3 means 1/3 then add both of them together and its 124 1/3

Quadrilateral MNOP has coordinates M(-1, -1), N(-2, -5), O(1, -4), and P(0, -1). If the quadrilateral is rotated 90° clockwise about the origin, what are the coordinates of N'?

Answers

The coordinate point of N'is (-2,5)

On a piece of paper, graph f(x)=(). Using the graph, decide which one of
10
these statements is true.
9
A. The range of f(x) is y>.
10
B. It is always increasing.
C. The y-intercept is (0, 1).
OD. The domain of f(x) is x > 0.

Answers

Where the function f(x) = (9/10)ˣ is given, all the functions are correct with the EXCEPTION of option D.

How is this so ?

A. The range of f(x) is y > 0 since any positive number raised to any power is positive.

Therefore, f(x) = (9/10)ˣ >  0.

  B. Since the base of the exponential function, 9/10, is less than 1, f(x) is a decreasing  function. Therefore, it is not always increasing

C. To find the y-  i ntercept of f(x ), we substitute x=0 into the equation:

f(0) = (9/10)⁰ = 1.

Therefore, the y- intercept is ( 0, 1).

D. The domain of f(x) is x ≥ 0, not x > 0. The function is defined for all non  negative real numbers since any non-negative number can be raised to any power.

Learn more about functions;
https://brainly.com/question/21145944
#SPJ1

You administer 60 mg of furosemide to Ms. Anakin. Furosemide is packaged 10 mg per mL in 4 mL. How many ampules will you need?

Answers

63 mL/Hour should be administered to the patient. Flow rate Q is defined to be the volume V flowing past a point in time t, or Q=Vt where V is volume and t is time.

Here, we have,

One of the oldest theories in biology and medicine is the structure-function relationship, which states that form serves function and that function affects form.

In this article, we derive and validate form-function relations for volume, length, flow, and mean transit time in vascular trees and capillary numbers of different organs and species.

A vessel segment is referred to as a "stem," while the vascular tree it supplies is referred to as a "crown."

We show form-function relationships between the volume, length, and blood flow that perfuse a vascular network's crown and the number of capillaries in the network.

Learn more about vascular here-

brainly.com/question/12939745

#SPJ1

complete question;

an order is given to administer 100. mg of furosemide, a diuretic, over the course of four hours by iv. if a 500. ml bag contains 200. mg of furosemide, what flow rate, in ml/hour, should be administered to the patient?

Other Questions
Working cooperatively with students who have different learning styles from you will help you learn to use new strategies.a. trueb. false Find the sum of the series sigma_n = 1^infinity 11/n^6 correct to three decimal places. Consider that f(x) = 11/8x is positive and continuous for x > 0. To decide if f(x) = 11/x^8 is also decreasing, we can examine the derivative f'(x) = 88/x^9 Examining the derivative, we have f'(x) = -88x^-9 = -88/x^9 Since the denominator is always positive on (0, infinity) then -88/x^9 is always negative Since f'(x) is always negative, then f(x) = 11/x08 is decreasing on (0, infinity). Therefore, we can apply the Integral Test, and we know that the remainder R_n lessthanorequalto integral_n^infinity We have R_n lessthanorequalto integral_n^infinity 11x^-8 dx = lim_b rightarrow infinity To be correct to three decimal places, we want R_n lessthanorequalto 0.0005. If we take n = 4, then R_4 Since R_4 lessthanorequalto 0.0005, sigma_n = 1^4 11/n^8 approximate sigma_n = 1^4 11/n^8 correct to three decimal places. Rounding to three decimal places, we estimate sigma_n = 1^infinity 11/n^8 with > sigma_n = 1^4 11/n^8 = 0.001 find the maximum and minimum values of the function y = 4 x2 1 x on the interval [0, 2]. (round your answers to three decimal places.) maximum minimum on june 1, 4,000 shares of $20 par value common stock are issued in exchange for new equipment. comparable equipment sells for $116,000 cash. other shares of this class of common stock originally sold for $35 per share. the journal entry to record this exchange should debit the equipment account for what amount? on june 1, 4,000 shares of $20 par value common stock are issued in exchange for new equipment. comparable equipment sells for $116,000 cash. other shares of this class of common stock originally sold for $35 per share. the journal entry to record this exchange should debit the equipment account for what amount? $116,000 $0 $140,000 $80,000 $60,000 Question: Z is a standard normal random variable. The P(1.05 < Z < 2.13) equals0.8365 0.1303 0.4834 0.3531. Given that Z is a standard normal random variable, what is the probability that -2.51 Z -1.53? Given that Z is a standard normal random variable, what is the probability that Z -2.12? ) what is the size of the shortage in the market with the price ceiling? what is the producer surplus? (hint: shortage is the difference between quantity supplied and quantity demanded.) Given the demand function D(p) = 400-4p.Find the Elasticity of Demand at a price of $8.At this price, we would say the demand is:-Inelastic-Elastic-UnitaryBased on this, to increase revenue we should:-Keep Prices Unchanged-Lower Prices-Raise Prices Use synthetic division to divide (x+2x-4)=(x-2) two-phase motors that are especially designed for applications use the same rules for __________ determining full-load currents as single-phase motors Taxes End of Chapter Problem In the United States, each state government can impose its own excise tax on the sale of cigarettes. Suppose that in the state of North Texarkana, the state government imposes a tax of $2.00 per pack sold within the state. In contrast, the neighboring state of South Texarkana imposes no excise tax on cigarettes. Assume that in both states the pre-tax price of a pack of cigarettes is $2.00. Assume that the total cost to a resident of North Texarkana to smuggle a pack of cigarettes from South Texarkana is $3.50 per pack. (This includes the cost of time, gasoline, and so on.) Assume that the tax is levied on the supplier. a. Suppose the demand for cigarettes in North Texarkana is perfectly inelastic, and the equilibrium quantity demanded is three thousand packs. Draw the new supply curve after the tax on cigarettes has been imposed. b. Is it cost effective to smuggle a pack of cigarettes from South Texarkana? 1. Yes, because the cost of smuggling a pack of cigarettes is higher than the new equilibrium price in North Texarkana 2. No, because the cost of smuggling a pack of cigarettes is higher than the new equilibrium price in North Texarkana 3. Yes, because the cost of smuggling a pack of cigarettes is lower than the new equilibrium price in North Texarkana 4. No, because the cost of smuggling a pack of cigarettes is lower than the new equilibrium price in North Texarkana Direct Marketing:Acura and Pinehurst Golf Resort partnered to offer consumers a special three-hour use of an Acurathe "Preferred Vehicle of Pinehurst"and a special package price for their vacation getaway. The two companies believe that they share a common target market profile and similar business philosophies of offering only the highest quality product. It is important for marketers to understand the steps involved in this process to maximize the benefits for both parties.The direct marketer usually seeks a direct response. The objectives of the program are normally behaviorsfor example, test drives, votes, contributions, and/or sales. A typical objective is defined through a set response, perhaps a 2 to 3 percent response rate. Not all direct marketing seeks a behavioral response, however. Many organizations use direct marketing to build an image, maintain customer satisfaction, and inform and/or educate customers in an attempt to lead to future actions.List the following steps in order from 1 thru 7:-into the database-the product-digesting the data-sharing data with retailers-refining the database-using the knowledge-identifying an ideal consumer use f(x, y, z) = x2 yz, f(x, y, z) = xy, yz, xz , and g(x, y, z) = sin(z), exz, y . compute (f g)(5, 1, 8). (your instructors prefer angle bracket notation < > for vectors.) We observe the following input-output pair for an LTI system: x(t) = 1 + 2cos(t) + 3 cos(2t) y(t) = 6cos(t) + 6cos(2t) x(t) y(t) Determine y(t) in response to a new input x(t) = 4 + 4cos(t) + 2cos(2t). Y intercept of each graph Find the indefinite integral. Use substitution. (Use C for the constant of integration.)9sec2(x)tan(x)dxu=tan(x) define s: z z by the rule: for all integers n, s(n) = the sum of the positive divisors of n. a. is s one-to-one? prove or give a counterexample. b. is s onto? prove or give a counterexample Find the surface area of this triangular prism. Be sure to include the correct unit in your answer. The weekly demand for propane gas (in 1000s of gallons) from a particular facility is modeled by a random variable with the following pdf. S(x) = { $(1-3). 15352 otherwise 3.1. Find the value of k. 3.2. Find the expression of the cdf. 3.3. Find the expected value and variance onsider the following. f(x) = ex if x < 0 x4 if x 0 , a = 0 (a) find the left-hand and right-hand limits at the given value of a. lim x0 f(x) = lim x0 f(x) = The reason that an increase in autonomous spending leads to an even greater increase in equilibrium level of output is thata. as firms increase output to meet demand, income increases, and this induces more consumption spendingb. the multiplier increases with an increase in autonomous spendingc. prices rise with increased output and this raises nominal GDPd. people save less as their income increasese. there is unwanted inventory accumulation, leading firms to lower prices and encouraging increased consumer spending