Nicole is buying two posters. One poster costs $7.04 and the second costs $12.45. How much more does the second cost than the first?

Answer:

b

Step-by-step explanation:

the sum of the 3 angles in the triangle = 180° , that is

∠ 1 + 92° + 30° = 180°

∠ 1 + 122° = 180° ( subtract 122° from both sides )

∠ 1 = 58°

Answer:

\(\huge\boxed{\sf < 1 = 58\°}\)

Step-by-step explanation:

So,

30 + 92 + ∠1 = 180

122 + ∠1 = 180

Subtract 122 to both sides

∠1 = 180 - 122

\(\rule[225]{225}{2}\)

Answer:

c

Step-by-step explanation:

it is the awnser

Answer:

Step-by-step explanation:

Okay, this is a percentage usage problem...

1. We have 2,750 dollars. We have to find what 8% of 2,750 and then multiply it by 5.

2,750 x 0.08 = 220

220 x 5 = 1,100

- Now we have to add 1,100 to 2,750

1,100 + 2,750 = 3,850

Answer = $3,850

I gots to go but I answered number 1 for you :)

Answer:

Step-by-step explanation:

Answer:

5334 People

Step-by-step explanation:

Look up percentage calculator if u ever run into a similar question. ;)

The number of people for the cities people want a fireworks display for the 4th of July will be;

⇒ 5,334

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A west Texas city has a population of 9,525.

And, A city council poll revealed that 56% of the citizens want a fireworks display for the upcoming 4th of July celebration.

Now,

Since, A city council poll revealed that 56% of the citizens want a fireworks display for the upcoming 4th of July celebration.

Hence, The number of people for the cities people want a fireworks display for the 4th of July is,

⇒ 56% of 9,525

⇒ 56/100 × 9525

⇒ 5,334

Thus, The number of people for the cities people want a fireworks display for the 4th of July = 5,334

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The 5-number summary for the given data set is as follows: Minimum: 13, First Quartile: 18, Median: 40, Third Quartile: 72, Maximum: 89.

To find the 5-number summary, we follow the Locator/Percentile method, which involves determining specific percentiles of the data set.

Minimum:

The minimum value is the smallest value in the data set, which is 13.

First Quartile (Q1):

The first quartile divides the data set into the lower 25%. To find Q1, we locate the position of the 25th percentile. Since there are 10 data points, the 25th percentile is at the position (25/100) * 10 = 2.5, which falls between the second and third data points. We take the average of these two points: (17 + 18) / 2 = 18.

Median (Q2):

The median is the middle value of the data set. With 10 data points, the median is the average of the fifth and sixth values: (20 + 40) / 2 = 30.

Third Quartile (Q3):

The third quartile divides the data set into the upper 25%. Following the same process as Q1, we locate the position of the 75th percentile, which is (75/100) * 10 = 7.5. The seventh and eighth data points are 65 and 72, respectively. Thus, the average is (65 + 72) / 2 = 68.5.

Maximum:

The maximum value is the largest value in the data set, which is 89.

In summary, the 5-number summary for the given data set is 13, 18, 40, 68.5, 89.

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Answer:

30 more

Step-by-step explanation:

hope it helps friend.

Answer:

Neither of them are solutions unless you had a typo in the question.

Step-by-step explanation:

1) plug in the known values into both of the equations

First Coordinate:

y-x\(\leq\)-5
(1)-(0)\(\leq\)-5
1\(\leq\)-5 which is not true.
In this case, we do not need to plug in (0,1) into both of the equations because the coordinate cannot be a solution unless the coordinate works in BOTH of the equations.

Second Coordinate:

1)  y-x\(\leq\)-5
(-6)-(-1)\(\leq\)-5

(-6)+1\(\leq\)-5 -->    It becomes a +1 because two negatives make a positive

-5 \(\leq\)-5 - -> which means this is true because -5 is less than or equal to -5

2) y-2x>-5
(-6)-2(-1)>-5

-6(2)>-5
-12>-5 NOT TRUE

ANSWER: Neither of them are solutions unless you had a typo in the question.

The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.

The cost function and demand function of a monopolist can be found in the question. These can be used to derive the marginal revenue and marginal cost.

The optimal level of output and profit can be derived using the marginal revenue and marginal cost equations. After that, you can confirm that the demand is elastic at the optimal output.

After that, you need to calculate the markup and the DWL associated with the monopoly output. Finally, you need to find the new optimal output and determine if the DWL increases or decreases.

Given:Cost Function C(Q) = ¼ Q2 Marginal cost MC(Q) = ½ Q Demand P = 100 – ¼ Q. a.

Sketch the market demand, marginal costs, and marginal revenues.

Market demand:Marginal cost:Marginal revenue: b. What is the monopolist’s optimal level of output and profits?In the monopolistic market, the optimal level of output and profits are given by the condition that Marginal Revenue = Marginal Cost.

Marginal Revenue is the derivative of Total Revenue with respect to Quantity, which can be found by using the demand equation and solving for Q:TR(Q) = P × Q = (100 – ¼ Q)Q = 100Q – ¼ Q2MR(Q) = dTR(Q)/dQ = 100 – ½ QMarginal Cost is given by the question as MC(Q) = ½ Q.

The monopolist's optimal level of output and profits can be found by equating MR and MC:100 – ½ Q = ½ Q => Q = 66.67 units of outputWhen Q = 66.67, the price is given by the demand equation:P = 100 – ¼ Q => P = 83.33.

Therefore, the monopolist's optimal output is 66.67 and optimal profits are (P – MC) × Q = (83.33 – 33.33) × 66.67 = $2,000.

Confirm that demand is elastic at the optimal output.The demand is elastic at the optimal output if the absolute value of the price elasticity of demand is greater than one.

The price elasticity of demand is given by:Ed = (% Change in Quantity Demanded)/(% Change in Price) = (dQ/Q)/(dP/P) × P/QSince MR = P(1 - 1/Ed), MR is greater than MC if Ed is less than 1 and less than MC if Ed is greater than 1. Therefore, the optimal output occurs where Ed is equal to
Substituting the values of P and Q, we get:Ed = (dQ/Q)/(dP/P) × P/Q = -1.47Therefore, demand is elastic at the optimal output.

Calculate the firm’s markup.The markup is given by the formula (P - MC)/P.Substituting the values of P and MC, we get:(83.33 - 33.33)/83.33 = 0.6 = 60% markup .

What is the DWL associated with the monopoly output?DWL (Deadweight Loss) is the difference between the total surplus in a competitive market and the total surplus in a monopoly market.

The formula for DWL is:DWL = (1/2)(Pmon - Pcomp)(Qcomp - Qmon)DWL can be calculated by using the demand equation and finding the quantity demanded at the monopoly price and the competitive price. At the monopoly price of $83.33, the quantity demanded is 66.67.

At the competitive price of $66.67, the quantity demanded is 100. Therefore, DWL can be calculated as follows:DWL = (1/2)(83.33 - 66.67)(100 - 66.67) = $1,111.1 f.

Suppose the government offered a $10 production subsidy to the monopolist. What is their new optimal output?The new optimal output will be where the new marginal cost equals the original marginal revenue.

The subsidy reduces the marginal cost to (1/2) Q - $10.

Therefore, the monopolist's new optimal output can be found by solving for Q:100 - 1/2 Q + 10 = 1/2 Q => Q = 74.07 units of outputWhen Q = 74.07, the price is given by the demand equation:P = 100 - 1/4 Q => P = $81.48 g. Does the DWL fall or rise?The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.

Therefore, the deadweight loss falls.

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Answer:

Step-by-step explanation:

So you've got 38 to which you add 50% of 38 since we're talking about increasing.

You can either use percentage directly in your calculation, or you can see it as 50/100, meaning 1/2.

\(38+38*50/100 = 38 + 38*1/2 = 38 + 19 = 57\\\)

And here you go !

Answer:

7% of 33= 2.1

2% of 640= 12.8

15% of 470=70.5

7/9 of 51= 119/3

.52 of 62= 32.24

Answer:

1) 2.31

2) 12.8

3) 72

4) 44.625

5) 32.24

Step-by-step explanation:

7% of a number is simply 0.07*the number.

7/8 is just .875*the number

Hope it helps <3

Answer:

B

Step-by-step explanation:

O Citizens who are healthy contribute more to their communities.

( I don't think this is math related).

Answer:

£700000

Step-by-step explanation:

749000=107%

749000÷1.07=700000=100%

Answer:4

Step-by-step explanation:i guess because 4 time 3 if im wrong then 1b time s 12

Answer:

8x < 16 it shows the solution of the compound inequality

The area common to both the graph inequalities represent the solution set.

Given is the compound inequality as -

3x > -12

and

8x < 16

Refer to the graph of the inequalities attached. The area common to both the graphs represent the solution set.

Therefore, the area common to both the graph inequalities represent the solution set.

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According to Newton's law of cooling (heating), the store manager's advertising campaign for a particular item resulted in $1,441 in sales on day 11. The store to generate at least $5,976 in sales for a single day.

Newton's law of cooling (heating) is typically used to describe the rate at which the temperature of an object changes over time. In this scenario, we can apply the same principle to the increase in sales as a result of the advertising campaign.

To find the number of days required to reach the target sales of $5,976, we can set up a proportion based on the increase in sales. On day 11, the sales were $1,441, which is the initial value. Let's call the number of days needed to reach the target sales "x." We know that the potential daily sales are $7,299.

Using the proportion, we can set up the equation:

(1,441 / 7,299) = (11 / x)

Solving for x, we can cross-multiply and find that x ≈ 55.59. Since the number of days must be a whole number, we can round up to 56 days. Therefore, it will take approximately 56 days of campaigning for the store to generate at least $5,976 in sales for a single day.

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Answer:

distributive property

Step-by-step explanation:

Answer:

Simple rules

KCF

keep your denominator

change your numerator

flip one of your fractions

Step-by-step explanation:

:)

Answer:

Problem: 1/4 divided by 1/2

Step 1 : Put it in multiplication format

1/4 * 1/2

Step 2 : Flip the denominator with the numerator of only the second fraction

1/4 * 2/1

Step 3 : Answer

2/4 or 1/2

Step-by-step explanation:

I know

The probability of at most six individuals in the sample having used a discount broker is calculated to be approximately 0.997.

To solve this problem, we need to use the binomial distribution formula. Let X be the number of individuals in the sample who have used a discount broker. Then, X follows a binomial distribution with parameters n = 9 and p = 0.3.

The probability of at most six individuals in the sample having used a discount broker can be calculated as follows:

P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 6)

Using a binomial probability table or calculator, we can find the individual probabilities and sum them up. Alternatively, we can use a normal approximation to the binomial distribution if the sample size is large enough (np and n(1-p) are both greater than 5).

Using the normal approximation, we have:

mean = np = 9 x 0.3 = 2.7

variance = np(1-p) = 9 x 0.3 x 0.7 = 1.89

standard deviation = √(variance) = 1.374

To standardize the distribution, we calculate the z-score:

z = (6.5 - 2.7) / 1.374 = 2.75

Using a standard normal distribution table or calculator, we find that the probability of a z-score less than or equal to 2.75 is approximately 0.997.

Therefore, the probability of at most six individuals in the sample having used a discount broker is approximately 0.997.

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The complete question is :

What is the probability that in a random sample of nine individual investors, at most six have used a discount broker, given that the American Society of Investors survey found that 30% of individual investors have used a discount broker?

Answer:

(-2,8) (0,4) (2,3) (4,2)

Step-by-step explanation:

The values of b and a for the logarithmic function in this problem are given as follows:

The logarithmic function in the context of this problem has the format given as follows:

\(y = b\log_3{x + a}\)

The vertical asymptote is at x = -4, hence:

\(y = b\log_3{x - 4}\)

When x = 5, y = -1, hence the parameter b is obtained as follows:

\(-1 = b\log_3{5 - 4}\)

0.477b = -1

b = -1/0.477

b = -2.1.

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To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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Classifying triangles maze's path formed from the starting point is 3 - 10 - 17, 9 - 13 - 20, 4 - 7 - 8, 20 - 21 - 29, 15 - 19 - 25, 26 - 28 - 38, 4 - 11 - 13, 3 - 16 - 25, 12 - 35 - 37, 23 - 30 - 37, 9 - 40 - 41, 19 - 24 - 39, 16 - 16 - 22, and 13 - 18 - 29.

The full question is in the attachment. According to the Pythagorean theorem if there are three sides a, b, and c, where a ≤ b < c

But if a + b < c then a triangle cannot be formed

From point start

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if a user adds a new column to a table that already has rows, the existing rows will default to a value of null for the new column.

When a column is added to a table that has existing rows, the values of the new column will be set to null for all existing rows. This is because the user has not yet specified any values for the new column.

Adding a new column to a table with existing rows will cause the new column values to be set to null for every existing row. This is because the user has not yet specified any values for the new column. This is a default behavior when creating a new column, and it allows the user to specify different values for each row as needed. This is beneficial because it allows the user to easily specify different values for the new column without having to manually enter them for each row.

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Answer:

A = 2.63

B = 2

Step-by-step explanation:

To find the population density, what we need to do simply is divide the population by the area of the UK

mathematically, that would be;

(6.41 * 10^7)/243,610 = 263.125

To the nearest whole person= 263 people/ square meter

So now we want to write 263 in standard form = 2.63 * 10^2

So this means A = 2.63 and B = 2

For accumulation of change, whether you add or subtract under the x-axis depends on the context and the specific problem being addressed. In general, when calculating the accumulated change or total, positive values are added and negative values are subtracted.

In the case of a graph or a scenario where values above the x-axis represent positive changes and values below the x-axis represent negative changes, adding or subtracting depends on the direction and sign of the change. Positive changes are added to the total, while negative changes are subtracted.

However, there may be situations where the sign convention is reversed or specific instructions are provided in a problem. It is important to carefully read the problem statement or context to determine whether to add or subtract under the x-axis for accumulation of change.

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The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.

]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.

In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.

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First, we will move the constant term to the right side of the equation. Then, we will complete the square by adding and subtracting a value that allows us to factorize the quadratic expression.

Step 1: Move the constant term:

9x² + 6x + 1 = 4

Subtracting 4 from both sides:

9x² + 6x - 3 = 0

Step 2: Complete the square:

We want the quadratic expression to be in the form (x + a)² + b, where a and b are constants. To achieve this, we need to find the value of 'a' and then calculate 'b'.

Start by dividing the coefficient of x by 2 and squaring the result:

(6/2)² = 3² = 9

Add and subtract this value inside the parentheses:

9x² + 6x + 9 - 9 - 3 = 0

Rearrange the expression:

(9x² + 6x + 9) - 12 = 0

Factorize the quadratic expression inside the parentheses:

(3x + 3)² - 12 = 0

Now, the equation is in the form (x + a)² + b = 0, where a = 3 and b = -12.

To solve for x, we isolate the squared term:

(3x + 3)² = 12

Next, take the square root of both sides:

√((3x + 3)²) = ±√12

Simplify:

3x + 3 = ±2√3

Subtract 3 from both sides:

3x = -3 ± 2√3

Divide by 3:

x = (-3 ± 2√3) / 3

So, the solutions to the equation 9x² + 6x + 1 = 4, obtained by completing the square, are x = (-3 + 2√3) / 3 and x = (-3 - 2√3) / 3.

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