What is the difference between ordering numbers, comparing numbers, and comparing amounts?

Answer:

Step-by-step explanation:

2222222211

We can substitute the values of m and b into the slope-intercept form. The equation becomes y = -3x + 7. This means that the equation of the line satisfying the given conditions is y = -3x + 7.

To find the equation of a line given its y-intercept and slope, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this case, the y-intercept is (0, 7) and the slope is -3.

The y-intercept represents the point where the line crosses the y-axis, which is given as (0, 7). This means that when x is 0, y is 7. So we know that b, the y-intercept, is 7.

The slope, which is -3, represents the change in y divided by the change in x. This means that for every increase of 1 in x, y decreases by 3.

Now, we can substitute the values of m and b into the slope-intercept form. The equation becomes y = -3x + 7.

This means that the equation of the line satisfying the given conditions is y = -3x + 7.

In this equation, -3 is the slope of the line, indicating that the line is downward-sloping, and 7 is the y-intercept, representing the point where the line intersects the y-axis.

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Answer:

A) Amount = $ 116,601.31

B) Compound Interest = $ 91,601.31

Step-by-step explanation:

Compound interest Formula

A = P(1 + r/n)^nt

Where

P = Initial amount invested = $25,000

r = interest rate = 5.5 %

n = Compounding frequency = daily

t = time in years = 28 years

A). What amount will he have in his account 28 years later ?

First, convert R percent to r a decimal

r = R/100

r = 5.5%/100

r = 0.055 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 25,000.00(1 + 0.000150685/365)^(365)(28)

A = $ 116,601.31

B.) How much will be compound interest ?

I = Amount - Principal

A(Amount ) = $ 116,601.31

P (principal) = $ 25,000.00

I = $ 116,601.31 - $ 25,000.00

I (interest) = $ 91,601.31

Answer:

Step-by-step explanation:

The perimeter of a parallelogram ABCD IS 92cm. AD is 1cm more than twice AB. Find the lengths of all four sides of ABCD

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let x = |AD|   (the length of the side AD).

Let y = |AB|   (the length of the adjacent side AB).

Then

2x + 2y = 92   (the perimeter)

x - 2y = 1    ("AD is 1cm more than twice AB.")

Add the two equations (both sides) and get

3x = 92 + 1  --->  3x = 93  --->  x = 93/3--->  x = 31.

Then from the second equation  2y = x - 1 = 30-1 = 30.

Hence, y = 30/2 = 15.

Answer. The sides of the parallelogram are 31, 15, 31 and 15 cm long.

Answer:

the plans will cost the same at 16 months

Answer: n greater than or equal to 96 or n is greater than or less than 318

Step-by-step explanation:

Brainliest plz

Answer:

x=14

Step-by-step explanation:

17=x+3

x=14

Answer:

c, x=14

Step-by-step explanation:

The sides of a rhombus are parallel to the opposite one.

Therefore, x + 3 = 17

x=14

The domain and range of the function are [-3, 3] and [-2, 4], respectively and The function values for (a) f(-1), (b) f(0), (c) f(1) and (d) f(2) are 0, -2, 4, and 3, respectively. The total number of words used is 163.

Given that the graph of the function is shown below, the domain and range of the function need to be determined along with finding the function values for (a) f(−1), (b) f(0), (c) f(1) and (d) f(2).Graph of the function:Graph of the function for the given graph of the function, we can observe that the domain of the function is from -3 to 3 as the graph is defined within these limits.In order to find the range of the function, we need to look at the range of the y-coordinates.

The minimum value of y is -2 and maximum value of y is 4.Range of the function: [-2, 4]a) f(-1) means the function value for x = -1. As we can observe from the graph, the point where x = -1 is on the graph of the function is (1, 0). Therefore, f(-1) = 0b) f(0) means the function value for x = 0. As we can observe from the graph, the point where x = 0 is on the graph of the function is (0, -2).

Therefore, f(0) = -2c) f(1) means the function value for x = 1. As we can observe from the graph, the point where x = 1 is on the graph of the function is (2, 4). Therefore, f(1) = 4d) f(2) means the function value for x = 2. As we can observe from the graph, the point where x = 2 is on the graph of the function is (3, 3). Therefore, f(2) = 3

Thus, the domain and range of the function are [-3, 3] and [-2, 4], respectively. The function values for (a) f(-1), (b) f(0), (c) f(1) and (d) f(2) are 0, -2, 4, and 3, respectively. The total number of words used is 163.

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Michael will need 54 yards of fencing.

Dimensions of Michael's rectangular yard =  22 yards, 16 yards

Length of Michael's rectangular yard = 22 yards

Breadth of Michael's rectangular yard = 16 yards

Perimeter of Michael's yard = 2 [l+b] = 2 [22+16]   = 2×38 = 76 yards                            

As Michael nee

ds to fence only 3 sides leaving a long side, so he needs to fence = perimeter - length = 76-22 = 54 yards

Hence, Michael will need 54 yards of fencing.

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Answer:

2, 3, 4, 5

Step-by-step explanation:

Answer:

I believe 4 of these are correct,

answer choice, 2,3,4and

Step-by-step explanation:

2 and 3 are correct because of the inverse of the parallel theorem and answer choice 4 is just a straight line has an angle of 180. Since angle 3 corresponds to angle 7 also meaning they are congruent. We can say angle 1 and 7 add up to 180. As for answer 5, it is the same side interior thereom

The simplified algebraic expression without parentheses is:

x

To simplify the algebraic expression without parentheses:

1/6(6x) + [(7b) + (−7b)]

First,

let's simplify the terms within the parentheses:

(7b)+(−7b) = 0

Next,

we can simplify the expression further:

1/6 (6x) + 0

Since any number multiplied by 0 is always 0, we can eliminate the second term, leaving us with:

​1/6 (6x) = x

Therefore, the simplified algebraic expression without parentheses is:

x

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The area of the shaded region is the expression 16(4 - π) square metres.

The shaded region is the remaining area in the square which is outside the circle, so it is derived by subtracting the area of the circle from the area of the square as follows:

area of the square = 8 m × 8 m

area of the square = 64 m²

area of the circle = π × 4 m × 4 m

area of the circle = 16π m²

area of the shaded region = 64 m² - 16π m²

area of the shaded region = 16(4 - π) m²

Therefore, the area of the shaded region is the expression 16(4 - π) square metres.

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Step-by-step explanation:

(a) If M is a function of G (M is the y-axis and G is the x-axis), then the linear function is approximately:

M = 20G

(b) If G is a function of M (G is the y-axis and M is the x-axis), then the linear function is approximately:

G = M / 20

(c) The two functions are inverse of each other.  The first function tells us how many miles she can drive with a certain number of gallons.  The second function tells us how many gallons she needs to drive a certain number of miles.

(d) There are multiple things that affect fuel mileage.  These include:

Speed - idling at a red light or driving at high speeds will lower your mileage.

Weather - high winds will lower your mileage.

Weight - adding weight (even the weight of the gas itself) will lower your mileage.

Tires - low pressure in the tires will lower your mileage.

The given table is an illustration of a linear scatter plot, where:

(a) M as a function of G

From the table, we have the following points:

\((G_1,M_1) = (1,19)\)

\((G_2,M_2) = (11,218)\)

Calculate the slope (m)

\(m = \frac{M_2 - M_1}{G_2 - G_1}\)

\(m = \frac{218-19}{11-1}\)

\(m = \frac{199}{10}\)

\(m = 19.9\)

The equation is then calculated using the following linear equation formula:

\(M = m(G - G_1) + M_1\)

\(M = 19.9(G - 1) + 19\)

\(M = 19.9G - 19.9 + 19\)

\(M = 19.9G -0.9\)

(b) G as a function of M

From the table, we have the following points:

\((M_1,G_1) = (19,1)\)

\((M_2,G_2) = (218,11)\)

Calculate the slope (m)

\(m = \frac{G_2 - G_1}{M_2 - M_1}\)

\(m = \frac{11-1}{218-19}\)

\(m = \frac{10}{199}\)

The equation is then calculated as follows:

\(G = m(M - M_1) + G_1\)

\(G = \frac{1}{19.9}(M - 19) + 1\)

\(G = \frac{1}{19.9}M - \frac{19}{19.9} + 1\)

\(G = \frac{1}{19.9}M - \frac{19-19.9}{19.9}\)

\(G = \frac{1}{19.9}M - \frac{-0.9}{19.9}\)

\(G = \frac{1}{19.9}M + \frac{0.9}{19.9}\)

\(G = \frac{10}{199}M + \frac{9}{199}\)

(c) How (a) and (b) compares

Functions (a) and (b) are both inverse functions of one another;

Because they both represent inverse functions, both are useful models

(d) Reasons points do not fit in the equation

Some reasons why the points do not fit are:

When any of these happens, the mileage will be affected because she won't be able to capture the accurate data by the time she continues her trip.

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Seriousness is what is being portrayed by the oxymoron and paradox in this excerpt.
Simply put, a serious relationship is one in which you are fully committed to your partner. You are completely open and honest with each other. You trust each other deeply. And you are on the same page together not only from your values ​​and ethics perspective, but also from your future perspective.

Monks do not claim that "moderate" love is more wise than fleeting love, but they guide Romeo to understand the reason for his wisdom and explore their relationship.

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Answer:

Height = 7

Step-by-step explanation:

35*2

70

70/10

7

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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An expression to represent the sum of three consecutive odd integers is 3n + 3

The term expression in math is known as a sentence with a minimum of two numbers or variables and at least one math operation.

Here we have given that an expression to represent the sum of three consecutive odd integers in which n is the least number.

As here we have given that since the smallest integer is n,

And then it can be written as n+1 and n + 2 are the consecutive integers after that.

And then finally here we have to know that if you add them all up, then it becomes (n) + (n+1)+(n + 2) or simply 3n+3.

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Step-by-step explanation:

Thanks Thanks Thanks Thanks

The simplified sum of the expression (x - 2) + (3/10x) + (x^2 - 9) is (13/10)x + x^2 - 11. The expression is defined for all real values of x.

To simplify the sum (x - 2) + (3/10x) + (x^2 - 9), we can combine like terms:

(x - 2) + (3/10x) + (x^2 - 9)

First, let's simplify the expression inside the parentheses:

x - 2 + (3/10)x + x^2 - 9

Next, let's combine the like terms:

x + (3/10)x + x^2 - 2 - 9

Combining the constants:

x + (3/10)x + x^2 - 11

To simplify further, we can combine the terms with x:

(1 + 3/10)x + x^2 - 11

Common denominator for 1 and 3/10 is 10:

(10/10 + 3/10)x + x^2 - 11

Combining the fractions:

(13/10)x + x^2 - 11

Therefore, the simplified sum is (13/10)x + x^2 - 11.

As for the restrictions on the variables, there are no specific restrictions mentioned in the expression (x - 2) + (3/10x) + (x^2 - 9). However, it's important to note that since there is a term with x^2, the expression is defined for all real values of x.

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The equilibrium price and quantity in this scenario would be approximately $415 per television and 116 televisions, respectively.

To determine the equilibrium price and quantity, we need to find the point where the quantity demanded by the retailers matches the quantity supplied by the wholesaler.

From the given information, we can construct a demand curve and a supply curve:

Demand:

Price: $450 → Quantity: 96

Price: $400 → Quantity: 136

Supply:

Price: $380 → Quantity: 76

Price: $470 → Quantity: 156

By plotting these points on a graph, we can observe that the demand curve is downward sloping, while the supply curve is upward sloping.

The equilibrium price is the price at which the quantity demanded equals the quantity supplied. In this case, it occurs at approximately $415 per television. At this price, the quantity demanded and supplied both equal around 116 televisions.

Therefore, the equilibrium price in this scenario is approximately $415 per television, and the equilibrium quantity is approximately 116 televisions.

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Answer:

vitamin c is the independent variable

Step-by-step explanation:

the amount of vitaman c dose not change but the amount of oranges eaten can change

Answer:

2.5 batches of cookies.

Step-by-step explanation:

1/4 of a batch is .25 and she can make that in 1/10 of an hr.

There are 6 batches she can make in 1 hr.    .10*60=6

Then you would take the size of batch .25 and multiply it by the batches that can be made in an HR (6).

.25*6=2.5

The optimal number of square feet of space to be added is approximately 101 square feet.

We have,

To determine the optimal number of square feet of space to maximize the restaurant's profit, we need to analyze the relationship between the additional square footage, the number of new customers, and the resulting profit.

Let's start by defining some variables:

Let "x" represent the number of additional square feet of space to be added beyond the initial 100 square feet.

Let "C(x)" represent the cost in dollars to add x square feet of space. In this case, C(x) = $100 * x.

Let "N(x)" represent the number of new customers attracted per month when x square feet of space is added.

Let "P(x)" represent the profit generated per month when x square feet of space is added. In this case, P(x) = $50 * N(x).

Given the information provided, we know that each additional square foot of space attracts 2 new customers per month.

So, N(x) = 2x.

However, the number of new customers per month is expected to decrease by 1% for every 10 square feet of additional space beyond the initial 100 square feet.

To incorporate this, we can modify our equation for N(x) as follows:

N(x) = 2x * (1 - 0.01 * (x - 100) / 10)

Now, we can express the profit function P(x) in terms of x:

P(x) = $50 * N(x)

= $50 * [2x * (1 - 0.01 * (x - 100) / 10)]

= $100x * (1 - 0.01 * (x - 100) / 10)

To find the optimal number of square feet of space that maximizes profit, we need to find the value of x that maximizes P(x).

We can do this by taking the derivative of P(x) with respect to x, setting it equal to zero, and solving for x.

dP(x)/dx = $100 * (1 - 0.01 * (x - 100) / 10) + $100x * (-0.01 / 10)

= $100 - $1 * (x - 100) + $100x * (-0.01 / 10)

= $100 - $1x + $100 * (-0.01 / 10) - $1x

= $100 - $2x - $0.01x + $10x

= $100 + $7x - $0.01x

Setting dP(x)/dx equal to zero:

$100 + $7x - $0.01x = 0

$7x - $0.01x = -$100

0.99x = $100

x ≈ $100 / 0.99

x ≈ 101.01

Since we're dealing with square footage, we can round the result to the nearest whole number.

Therefore,

The optimal number of square feet of space to be added is approximately 101 square feet.

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The complete question:

The manager of a restaurant is considering expanding the seating area. She wants to determine how many additional square feet of space should be added to maximize the restaurant's profit. The cost to add new space is $100 per square foot, and the profit generated per square foot is estimated to be $50 per month. The manager expects that each additional square foot of space will attract 2 new customers per month. However, the number of new customers per month is expected to decrease by 1% for every 10 square feet of additional space beyond the initial 100 square feet.

What is the optimal number of square feet of space that should be added to maximize the restaurant's profit?

The probability of drawing a D, then drawing an H (with replacement) from the given deck is 2/49.

To calculate the probability of drawing a D, then drawing an H, replacing the first card, we need to know the total number of cards in the deck and the number of D and H cards in the deck.

Since you mentioned the deck consists of the letters OHDBOHG, we'll assume there are 7 cards in total.

The probability of drawing a D on the first draw, assuming all cards are equally likely to be drawn, is 1 out of 7 since there is only one D card in the deck.

Since we are replacing the first card, the deck remains the same for the second draw. So, the probability of drawing an H on the second draw, assuming all cards are equally likely to be drawn, is also 1 out of 7 since there is only one H card in the deck.

To find the overall probability, we multiply the probabilities of the individual events:

Probability = (1/7) * (1/7) = 2/49

Therefore, the probability of drawing a D, then drawing an H (with replacement) from the given deck is 2/49.

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Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Answer:

2850

Step-by-step explanation:

We know that only 19% of people prefer the sedans, so we have to find 19% of 15,000. Set up a proportion: \(\frac{19}{100}=\frac{x}{15000}\), cross multiply and get 2850.

Answer:

2850 sedans per month

Step-by-step explanation:

19 % want sedans

They expect to sell 15000 cars

Take the number of cars and multiply by the percent sedans

19% * 15000

Change to decimal form

.19*15000

2850

Answer:40$

Step-by-step explanation: if all the prices are equal we 150-30equels 120 ➗ 3 equals 40 hope this helps

A person who studies or involves in stduy and writes word, logic, or mathematical puzzles is known as an Enigmatologist.

In short form, the use of the term Enigmatologist is a general term for anyone who deals with any puzzle science, such as mathematics. However, the word occultism is a new coin coined nearly 30 years ago by the American Will Shortz, the only trained occultist in the world. Shortz graduated from Indiana University with a degree in riddles in 1974 and is now a columnist for the New York Times after many years as editor of the American magazine Games. Hence, someone who studies and writes mathematical, word or logic puzzles.

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