Help pls and show your work!

Answer:

16.50+91.25=91.25

91.25×40=3650

11.75-37.00=-25.25

Total cost, T of the catering service, which serves n people = T = 16.50n + 74.75 and T = 11.75n + 37.00

Given,

Charges per person = 16.50

Service charges = 74.75

Let n be the number of the people,

Let T be the total cost

Now, according to the given question,

T = 16.50n + 74.75

If n>=40

T = 11.75n + 37.00

So, we have 2 equations which define the total cost -

T = 16.50n + 74.75,

T = 11.75n + 37.00

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arithmetic sequence

Step-by-step explanation:

Answer:

+2

Step-by-step explanation:

The numbers are increasing by 2 every time

Answer:

Its a scammmmmm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

In Crista’s class, 8 students have blonde hair, 14 have brown hair, 3 have black hair, and 2 have red hair. If one student is chosen at random, it is  

that the student has blonde hair, it is  

that the student has brown hair, it is  

that the student has black hair, and it is  

that the student has red hair.

Answer:

In Crista’s class, 8 students have blonde hair, 14 have brown hair, 3 have black hair, and 2 have red hair. If one student is chosen at random, it is

unlikely

that the student has blonde hair, it is

neither likely nor unlikely

that the student has brown hair, it is

unlikely

that the student has black hair, and it is

unlikely

that the student has red hair.

Step-by-step explanation:

The statement that is true of the sample size for nonprobability samples is that it is typically small.

Nonprobability sampling methods are often used when it is not feasible or practical to obtain a large sample that is representative of the population.

Nonprobability samples are selected based on criteria other than random selection, such as convenience, judgment, or purposive sampling. These methods are commonly used in qualitative research or when studying hard-to-reach populations.

Since nonprobability samples do not guarantee representativeness, the focus is often on in-depth exploration rather than generalization to a larger population. As a result, researchers often work with smaller sample sizes that are more manageable and allow for in-depth analysis of the selected cases or individuals.

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Answer:

Step-by-step explanation:

I'm assuming this is linear and that there is no special on a larger order of wings. To find the unit price of each piece, divide $28.80 by 16 to get that each piece cost $1.80 (that's a lot for a single chicken wing. That better be one BIG chicken...). To find the cost of 9 wings, multiply 9 by $1.80 to get $16.20

The rule of three is a way to solve problems of proportionality between three known values and one unknown. It establishes a relationship of linearity, proportionality, between the values involved.

Chicken Wings             Price

     16------------------------$28.80

      9-----------------------------x

First, multiply the number of wings purchased by the given price, divided by the number of wings purchased.

We solve

Answer: 9 wings would cost a total of $16.2

Part a) is partially correct. You need to change that 35 to 36.

======================================

Part b)

W = width

L = length = W+5

P = perimeter of rectangle

P = 2L+2W

25 < P < 36 ... from part a)

25 < 2L+2W < 36

25 < 2(W+5)+2W < 36

25 < 2W+10+2W < 36

25 < 4W+10 < 36

25-10 < 4W+10-10 < 36-10 ... subtract 10 from all sides

15 < 4W < 26

15/4 < 4W/4 < 26/4 ... divide all sides by 4

3.75 < W < 6.50

The graph is shown in the diagram below.

======================================

Part c)

L = W+5

W = L-5

3.75 < W < 6.50 ..... result from part b)

3.75 < L-5 < 6.50

3.75+5 < L-5+5 < 6.50+5 ... add 5 to all sides

8.75 < L < 11.50

The graph is shown in the diagram below.

Answer:

34.1 minutes

Step-by-step explanation:

distance= 2miles,time=11 minutes

pace=velocity

velocity= distance/time

V= (2/11) miles/minutes

since the pace is maintained. then,

time taken to run 6.2 miles would be

time=distance/velocity

T= 6.2miles/(2/11)miles/minutes

T= [(6.2×11)/2]minutes

T= 34.1 minutes.

Since the assumption that the vis are linearly dependent is false as a result of this contradiction, they are in fact linearly independent.

If no vector in a collection of vectors can be written as a linear combination of the other vectors in the set, the set is said to be linearly independent. The set is said to be linearly dependent if any of the vectors can be represented as a linear combination of the others. If you write a collection of vectors as the columns of the matrix A and solve Ax = 0, you can tell if the vectors are linearly independent. The vectors are linearly dependent if there are any non-zero solutions. They are linearly independent if x = 0 is the sole viable answer.

You want to show v1,…,vn are linearly independent.

Suppose they are not.

Then there are scalars c1,…,cn (not all zero) so that c1v1+…+cnvn=0. Then

T(c1v1+…+cnvn)=T(0)=0.

So c1T(v1)+…+cnT(vn)=0, which means that T(v1),…,T(vn) are not linearly independent.

This contradiction means the assumption that the vis are linearly dependent is false, so they are indeed linearly independent.

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Answer:

B

Step-by-step explanation:

Area of a rectangle = Length x width

= 1.3x

Answer:

x=15°

Step-by-step explanation:

x+45=60 (VOA)

x=15°

Answer:

60=x+45      x=15

Step-by-step explanation:

The two angles are vertical, so they're equal. 45 plus a number x is 60, so we can subtract 45 from both sides. 60-45 is 15, so x is 15.

Answer:

I'm going to say that there is one girl in the class

The equation that requires the multiplication property of equality to be solved is:

\(\boxed{\sf \dfrac{a}{6}=420}\)

Multiplication property of equality states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other.

The multiplication property states that:

Out of the given options, \({\sf \dfrac{a}{6}=420}\) requires the multiplication property of equality to be solved.

That is:

\(\text{If} \ {\sf \dfrac{a}{6}=420}\)

\({\sf \dfrac{a}{6}\times6=420\times6\)

\(\sf a=2520\)

Hence, the equation that requires the multiplication property of equality to be solved is:

\({\sf \dfrac{a}{6}=420}\)

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Answer:

arranging the data in ascending order :-

18, 21, 25, 26, 27, 29, 32

hence, the median is = 26

Step-by-step explanation:

hello!

the answer to your question is 41!

-----------

explanation:

- Step 1: Our output value is 100.

- Step 2: We represent the unknown value with \(x\).

- Step 3: From step 1 above, \(100 = 100%\)%

- Step 4: Similarly, \(x = 41%\)%

- Step 5: This results in a pair of simple equations:

\(100 = 100% (1)\)% (1)

\(x=41\)% (2)

- Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both  equations have the same unit (%); we have

\(\frac{100}{x}\) = \(\frac{100}{41}\)

- Step 7: Again, the reciprocal of both sides gives

\(\frac{x}{100}\) = \(\frac{41}{100}\)

Therefore, 41% of 100 is 41.

hope this helps! have a great day! :D

To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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The measure of central tendency that would be the best for Mrs. Hull to use if she wanted to argue that there is a difference between the plants is the median.

The definition of central tendency is the statistical metric that identifies a single value as representative of a whole distribution. It strives to provide a complete explanation of the data. It is the single most representative number from the obtained data.

A measure of central tendency is a single value that seeks to represent a set of data by identifying the data's central position. The mode measurement is the one with the highest frequency.

When plants are placed in a circle, the median is the measurement of the middle plant provided in descending be order of sizes.

When there are a few extreme scores in the data distribution, the median is the recommended measure of the central tendency.

In conclusion, the correct option is the median.

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Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.

To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.

We know that the altitude of the plane remains constant at 2400 meters.

According to the cosine rule:

\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)

Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.

For the initial angle of elevation (70°), we have the equation:

\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)

Similarly, for the final angle of elevation (50°), we have:

\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)

To find the distance the plane has flown, we subtract the two equations:

\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)

Now we can solve this equation to find the value of a, which represents the distance the plane has flown.

Finally, we calculate the square root of \(a^2\) to find the distance in meters.

It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.

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True. When performing econometric analysis on time-series data, it is a best practice to sort the data in chronological order. Econometric analysis involves using statistical methods to study and understand economic relationships, trends, and patterns.

Time-series data refers to a set of observations collected at regular intervals over time, such as stock prices, GDP growth, or unemployment rates.

Sorting the data in chronological order is essential because it allows for a proper understanding of the temporal relationship between different data points. This ordering helps researchers identify patterns, trends, and potential causal relationships within the data. Additionally, many econometric models, such as autoregressive or moving average models, rely on the assumption that the data points are arranged sequentially in time.

In summary, when conducting econometric analysis on time-series data, it is crucial to sort the data in chronological order to accurately analyze patterns, trends, and relationships. This practice enables researchers to develop robust models that can be used for forecasting and understanding the underlying economic processes.

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Answer:

b

Step-by-step explanation:

Answer:

B.) -3

Step-by-step explanation:

-3 is the only point thats NOT on the line.

Answer:

-3

Step-by-step explanation:

B

Answer:

B. graph B

Step-by-step explanation:

The graphs of A,B,C and D are attached below.

Let x represent the credit amount  and y represent the minimum amount due.

For a bill of less than $100, the entire amount is due. That is for 0 ≤ x < $100, y = x

For a bill of at least $100 but less than $500, the minimum due is $100. That is for $100 ≤ x < $500, y = 100

For a bill of at least $500 but less than $1,000, the minimum due is $300. That is for $500 ≤ x < $1000, y = $300

For a bill of $1,000 or more, the minimum due is $500. But the credit limit is $2000. That is For $1000 ≤ x < $2000, y = $500

The graph that shows the minimum amount due for a credit amount of x  is graph B

Given:

Suzanne has purchased a car with a list price of$23,860.

She traded in her previous car, which was a Dodge in good condition, and financed the rest of the cost for five years at a rate of 11.62, compounded monthly. The dealer gave her 85 of the listed trade-in price for her car. She was also responsible for 8.11 sales tax, a $1695 vehicle registration fee, and a $228 documentation fee. If Suzanne makes a monthly payment of $455.96, then we need to calculate the original cost of the car.

Method of Solution:

We need to apply the following formula to get the original cost of the car:

\($$A=P(1+\frac{r}{n})^{nt}$$\)

Where, A is the future value, P is the principal amount, r is the rate of interest, t is the time, n is the number of times the interest is compounded per year.

Using the given data,Let the original cost of the car be ‘P’.

Then, she financed the rest of the cost of the car after the trade-in,

So,

the amount financed = $P − Trade-in value

Rate of interest = 11.62% compounded monthly

= 0.1162/12 = 0.00968 per month

Time period = 5 years

Number of times interest is compounded per year = 12

Sales tax = 8.11%

Registration fee = $1,695

Documentation fee = $228

Trade-in value = 85% of the listed trade-in price for her car = 0.85LTP

Now, we have to calculate the value of ‘P’ as per the formula stated above

.Step-by-step Solution:

Amount financed = $P − Trade-in value principal

amount = $PInterest rate

= 0.1162/12 per monthTime

= 5 yearsNumber of times interest is compounded per year

= 12Sales tax

= 8.11%

Registration fee = $1,695

Documentation fee = $228

Trade-in value = 85% of the listed trade-in price for her car = 0.85LTP

Now, we have, Monthly payment = $455.96

Using the formula,

Future value (A) = $455.96*60

= $27,357.6.$A

\(= P(1 + $\frac{r}{n}$)$^{nt}$\)

∴ $27,357.6

=\((P – 0.85 LTP)(1 + \frac{0.1162}{12})^{12*5}$∴ $27,357.6\)

= \((P – 0.85LTP)(1.01082)^{60}$\)

Now, we can add the sales tax, registration fee, and documentation fee to get the value of ‘P

.∴ P – 0.85LTP

\(= $\frac{27,357.6}{1.01082^{60}}$ + 0.0811P + 1,695 + 228\)

∴\(P – 0.7225 LTP = 23,860.01 + 0.0811P + 1,695 + 228\)

∴ \(P – 0.0811P + 0.7225 LTP = 23,860.01 + 1,695 + 228\)

∴ \(0.9189 P = 25,783.01 + 0.7225 LTP --- (i)\)

Now, let's calculate the monthly payment if LTP

(listed trade-in price) = $16,000.

First, let’s calculate the amount Suzanne paid for the car:

Amount financed = $P − Trade-in value amount financed

= $P − 0.85LTP

Amount financed = P − 0.85(16,000)

Amount financed = P − 13,600

Now, we can add the sales tax, registration fee, and documentation fee to get the amount financed.

∴ Amount financed = P – 13,600 + 0.0811P + 1,695 + 228

∴ Amount financed = 1.0811 P – 11,677 --- (ii)

Now, we can calculate the monthly payment:

\(Monthly payment = $\frac{A*r}{n*(1 + \frac{r}{n})^{nt}}$\)

\($$A=P(1+\frac{r}{n})^{nt}$$\\\\Future value (A) = $455.96*60= $27,357.6.$A = P(1 + $\frac{r}{n}$)$^{nt}$∴ $27,357.6 = (P – 0.85 LTP)(1 + \frac{0.1162}{12})^{12*5}$∴ $27,357.6 = (P – 0.85LTP)(1.01082)^{60}$\\\\∴ P – 0.85LTP = $\frac{27,357.6}{1.01082^{60}}$ + 0.0811P + 1,695 + 228∴ P – 0.7225 LTP = 23,860.01 + 0.0811P + 1,695 + 228∴ P – 0.0811P + 0.7225 LTP = 23,860.01 + 1,695 + 228∴ 0.9189 P = 25,783.01 + 0.7225 LTP --- (i)\\\\Monthly payment = $\frac{A*r}{n*(1 + \frac{r}{n})^{nt}}$\\\\\)

therefore

$ Monthly payment = 455.96

Using a graphing calculator, we can find that P = $22,328.44

Therefore, the original cost of the car was $22,328.44. Therefore, option (a) is the correct answer.

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If this rate of change continues, the attendance for the year 2012 will be 468973.

Slope(m) for given two points (x₁,y₁) and (x₂,y₂)  is calculated using the formula

m=(y₂-y₁)/(x₂-x₁)

in the given question ,we will take year as x coordinate and the attendance as y coordinate.

Given " The attendance in 2001 was 450,746" , So

The point becomes (2001,450746)

and "the attendance in 2005 was 457,373" So

the point becomes (2005,457373)

Now as we have the two points , slope can be calculated as

m=(457373-450746)/(2005-2001)

m=6627/4

m≅1657

Hence the rate of change is 1657 persons per year

It is given in the question that rate of change remains constant.

To predict the attendance for the year 2012.

Let the attendance for the year 2012 be x.

we have (2001,450746) and (2012,x)

let m=1657, x₁=2001 , y₁=450746 , x₂=2012 , y₂=x

m=(y₂-y₁)/(x₂-x₁)

Substituting the values we get  

\(1657=\frac{x-450746}{2012-2001} \\ \\ 1657=\frac{x-450746}{11}\)

By cross multiplying we get

\(1657*11=x-450746\\ \\ 18227=x-450746\\ \\ x=450746+18227\\ \\ x=468973\)

Therefore , The attendance for the year 2012 will be 468973.

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When Q > K, the amount of products must decrease and the amount of reactants must increase for equilibrium to be established. Therefore, the reaction will proceed in the reverse direction to establish equilibrium.

When discussing chemical reactions and equilibrium, the reaction quotient (Q) and equilibrium constant (K) play important roles.

The reaction quotient is calculated in the same way as the equilibrium constant, but it can be evaluated at any point during the reaction, not just at equilibrium.

If the reaction quotient, Q, is greater than the equilibrium constant, K (Q > K), it indicates that the system has an excess of products compared to what is required at equilibrium.

To establish equilibrium, the reaction needs to shift in the reverse direction to reduce the concentration of products and increase the concentration of reactants.

This shift occurs because the system seeks to minimize the imbalance caused by the excess of products.

By proceeding in the reverse direction, the reaction consumes some of the excess products and forms more reactants.

As reactants are consumed, their concentration increases, bringing the system closer to equilibrium. The reaction will continue to proceed in the reverse direction until Q becomes equal to K, indicating that the system has reached equilibrium.

In summary, when Q > K, the reaction will proceed toward the reverse direction to establish equilibrium by reducing the concentration of products and increasing the concentration of reactants.

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The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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When considering stereo headphones, it is important to evaluate various factors beyond just the price to make an informed decision.

The given data presents the prices and overall scores for six stereo headphones tested by a certain magazine.

The overall score is based on sound quality and effectiveness of ambient noise reduction, ranging from 0 (lowest) to 100 (highest).

Here is the data:

- Brand A: Price - $180, Score - 76
- Brand B: Price - $150, Score - 73
- Brand C: Price - $95, Score - 61
- Brand D: Price - $70, Score - 58
- Brand E: Price - $70, Score - 40
- Brand F: Price - $35, Score - 28

Looking at the data, we can observe that the scores vary for headphones with different price ranges. However, it's important to note that the relationship between price and score is not necessarily linear.

For example, Brand A, priced at $180, has a score of 76, while Brand B, priced at $150, has a slightly lower score of 73.

In some cases, there may be headphones with lower prices but higher scores, as seen with Brand E ($70) having a lower score of 40 compared to Brand D ($70) with a score of 58.

Therefore, it can be concluded that the price alone is not the sole determinant of the overall score. Other factors, such as specific features, brand reputation, or personal preferences, may also play a role in determining the overall score.

Overall, when considering stereo headphones, it is important to evaluate various factors beyond just the price to make an informed decision.

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Answer:

15

Step-by-step explanation:

if 17-x=2

then subtract 17-2

you get 15

Answer:

?=15

Step-by-step explanation: so if we have 17-?=2 we would first do 17-2, which equals 15, then plug it back into the equation to check.

So 17-15=2

Hope that helps :)