A roast beef sandwich costs $6.75. A customer buys multiple roast beef sandwiches. Write an equation that represents the situation. Use $x$ to represent the number of roast beef sandwiches. Then determine how many sandwiches the customer buys.

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

Answer:

√40 = 2√10=6.32455532034

Answer:

2✓10

Step-by-step explanation:

Assuming you'd like to simplify:

✓4✓10

2✓10

The length of AC in triangle BAC is equal 10.7 units

In trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

AC² = AB² + BC² - 2(AB)(BC) cos AC

AC² = 6² + 7² - 2(6)(7)cos110

AC = 10.7

Using cosine rule, the length of AC is 10.7 unit.

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The mean of the team’s distances is 3.75 miles. The median of the team’s distances is 3.5 miles.

To find the mean of the distances run by the Kennedy High School cross-country running team, we will first add up all the distances and then divide by the number of distances. The distances ran by the Kennedy High School cross-country running team are:

3.5 miles, 2.5 miles, 4 miles, 3.25 miles, 3 miles, 4 miles, and 6 miles adding up these distances, we get:

3.5 + 2.5 + 4 + 3.25 + 3 + 4 + 6 = 26.25

So the sum of the distances is 26.25 miles. Now, to find the mean, we will divide by the number of distances, which is 7. Therefore, the mean of the distances is: Mean = Sum of distances / Number of distances

Mean = 26.25 / 7

Mean = 3.75 miles

To find the median of the distances run by the team, we will first arrange the distances in order from smallest to largest:2.5 miles, 3 miles, 3.25 miles, 3.5 miles, 4 miles, 4 miles, 6 miles

Now, we will find the middle value. Since there are 7 distances, the middle value will be the 4th value. Counting from the left, the 4th value is 3.5 miles. Therefore, the median of the distances ran by the team is 3.5 miles.

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The estimated amount of oil is 0.040 L.

To estimate the amount of oil consumed by the generator during the day using Simpson's Rule, we need to calculate the integral of the oil consumption rate function over the time period from 8 am to 4 pm.

Using Simpson's Rule, the integral can be approximated as:

Integral ≈ (1/3) * h * [f(x₀) + 4*f(x₁) + 2*f(x₂) + 4*f(x₃) + ... + 2*f(x₇) + 4*f(x₈) + f(x₉)]

where h is the width of each subinterval and f(x) represents the oil consumption rate at a particular time.

Given the data provided, we have the following:

h = (4 pm - 8 am) / 8 = 1 hour (since there are 8 subintervals)

Substituting the oil consumption rates into the formula, we have:

Integral ≈ (1/3) * 1 * [0.019 + 4*0.020 + 2*0.021 + 4*0.024 + 2*0.027 + 4*0.030 + 2*0.038 + 4*0.046 + 0.057]

Simplifying the calculation, we find:

Integral ≈ 0.040

Therefore, the estimated amount of oil consumed by the generator during the day is approximately 0.040 L.

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The system is inconsistent.

The two lines are parallel and never intersect.

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

Work Shown:

Solving the 1st equation for y.

3x-y=18

-y=18-3x

y = -(18-3x)

y = -18+3x

y = 3x-18

Plugging that into the other equation to solve for x.

-2y=-6x-120

-2(y)=-6x-120

-2(3x-18)=-6x-120

-6x+36=-6x-120

-6x+6x=-120-36

0x = -156

0 = -156

We arrive at a false statement.

Therefore, this system has no solutions

The system is inconsistent.

If you were to use a graphing tool like Desmos or GeoGebra, then you'll see the two lines are parallel. They never intersect to form a solution.

Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.

What is quotient?

In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

0. 48 ÷ 0. 8

=0.06

The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6

The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.

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The two column proof to show that m∠G + m∠K + m∠GHK = 180° is as detailed below.

A two-column proof is basically a geometric proof that consists of a list of statements, and the reasons for which those statements are true. The two column proof in this regard are;

Statement 1: GH║HJ

Reason 1: Given

Statement 2: ∠G ≅ ∠IHJ

Reason 2: Corresponding angles theorem

Statement 3: ∠K ≅ ∠JHK

Reason 3: Alternate Interior angles theorem

Statement 4: m∠IHK ≅ M∠IHJ + m∠JHK

Reason 4: Additive property of angle measure

Statement 5: m∠IHK ≅ m∠G + m∠K

Reason 5: Substitution property

Statement 6: m∠IHK + m∠GHK = 180°

Reason 6: Angles forming a linear pair sum to 180°

Statement 7: m∠G + m∠K + m∠GHK = 180°

Reason 7: Substitution

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The area represented by g(x) is a triangular region with base 1 and height (7/3) x, where x is the variable along the horizontal axis. The resulting shape will be a right triangle with vertices at (0,0), (1,0), and (0, (7/3) x).

It seems like you are asking to sketch the area represented by the function g(x) given as the integral of x with respect to t from 1 to 2. However, there seems to be a typo in your question. I will assume that you meant g(x) = ∫[1 to x] t^2 dt. Please follow these steps to sketch the area represented by g(x):

1. Draw the function y = t^2 on the coordinate plane (x-axis: t, y-axis: t^2).

To sketch the area represented by g(x) = x t2 dt 1, we first need to evaluate the definite integral. Integrating x t2 with respect to t gives us (1/3) x t3 + C, where C is the constant of integration. Evaluating this expression from t=1 to t=2 gives us (1/3) x (2^3 - 1^3) = (7/3) x.

2. Choose an arbitrary x-value between 1 and 2 (e.g., x = 1.5).
3. Draw a vertical line from the x-axis to the curve of y = t^2 at x = 1.5. This line represents the upper limit of the integral.
4. Draw another horizontal axis from the x-axis to the curve of y = t^2 at x = 1. This line represents the lower limit of the integral.
5. The area enclosed by the curve y = t^2, the x-axis, and the vertical lines at x = 1 and x = 1.5 represents the area for the given value of x.

In conclusion, the area represented by g(x) = ∫[1 to x] t^2 dt can be sketched by plotting the curve y = t^2, choosing a specific x-value between 1 and 2, and then finding the enclosed area between the curve, x-axis, and the vertical lines at x = 1 and x = chosen x-value.

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Answer:

Given:

Diameter = 38cm

Radius = Diameter /2

Radius = 38 / 2

Step-by-step explanation:

Answer:

B) 19

Step-by-step explanation:

Radius is have of the diamater so I did 38 divided by 2 and I got 19.

HOPE THIS HELPS!!!

Answer:

c. Y= x - 4

Step-by-step explanation:

slope is 1, y intercept is -4

you can also solve by plugging points into each equation

The one-sample z-statistic for evaluating the hypothesis that unvaccinated people get COVID-19 is not 0.03 is -85.7. This statistic tested the hypothesis that unvaccinated people do not get COVID-19 at 0.03%.

In order to compute the one-sample z-statistic, we must first do a comparison between the observed proportion of COVID-19 instances in the placebo group and the expected proportion of 0.03. (p - p0) / [(p0(1-p0)) / n is the formula for the one-sample z-statistic. In this formula, p represents the actual proportion, p0 represents the predicted proportion, and n represents the sample size.

The observed proportion of COVID-19 instances among those who received the placebo is 162/18325 less than 0.0088. According to the received wisdom, the proportion that should be anticipated is 0.03. The total number of people sampled is 18325. After entering these numbers into the formula, we receive the following results:

z = (0.0088 - 0.03) / √[(0.03(1-0.03)) / 18325] ≈ (-0.0212) / √[(0.0291) / 18325] ≈ -85.7

As a result, the value of the z-statistic for just one sample is about -85.7. This demonstrates that the observed proportion of COVID-19 cases in the unvaccinated population is significantly different from the expected proportion of COVID-19 cases in that population.

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Answer: $732

Step-by-step explanation:

If the band performs 3 wedding a week where they make $350 per performance, the total revenue they make is:

= 350 * 3

= $1,050

Cost in total will be:

= 106 * 3

= $318

Profit = Revenue - Cost

= 1,050 - 318

= $732

Betty takes 6 hours to paint a house alone, that indicates she can paint 1/6 of the house in 1 hour then Karen working alone will paint a house in 3 hours.

Since Betty takes 6 hours to paint a house alone, that indicates she can paint 1/6 of the house in 1 hour.

Karen can even paint 1/x in 1 hour

Both of them will paint the house in 3/2 hours.

We then add them together which gives:

1/6 + 1/x = 3/2x

The lowest common multiple is 6x

1x/6x + 6/6x = 9/6x

We then leave out the denominators

1x + 6 = 9

simplifying the above equation, we get

x = 9 - 6

x = 3

Therefore, the value of x = 3.

Karen working alone will paint a house in 3 hours.

The complete question is:

Betty and Karen have been hired to paint the houses in a new development. Working together, the women can paint a house in two-thirds the time that it takes Karen working alone. Betty takes 14 h to paint a house alone. Betty takes 6 h to paint a house alone.

Required:

How long does it take Karen to paint a house working alone?

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The name of the function that matches each equation on the blank is,

-|x-7|= h(x)

0.5|x-3|= g(x)

|x-3|-2= f(x)

-5|x-7|=j(x)

A function from a set X to a set Y in mathematics assigns to each element of X exactly one element of Y. The domain of the function is the set X, and the codomain of the function is the set Y.

The first known approximation to the concept of function is attributed to the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were originally idealistic representations of how one variable quantity depended on another. The location of a planet, for example, changes throughout time. Historically, the concept was formed with infinitesimal calculus near the end of the 17th century, and the functions that were analyzed were differentiable until the 19th century.

The name of the function that matches each equation on the blank is,

-|x-7|= h(x)

0.5|x-3|= g(x)

|x-3|-2= f(x)

-5|x-7|=j(x)

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Answer:

x = 8

Step-by-step explanation:

0.7x + 9 = 2x - 1.4

9 + 1.4 = 2x - 0.7x

10.4 = 1.3x

10.4/1.3 = x

x = 8

Check:

0.7*8 + 9 = 2*8 - 1.4

5.6 + 9 = 16 - 1.4 = 14.6

Answer: = 8

Step-by-step explanation:

The question is whether the variances for Accord and Camry prices can be assumed to be equal at a 5% level of significance. This involves conducting a statistical test to compare the variances.

To determine if the variances for Accord and Camry prices are equal, a statistical test can be performed. One commonly used test is the F-test, which compares the ratio of variances. The null hypothesis states that the variances are equal, while the alternative hypothesis states that the variances are not equal.

To conduct the test, the prices of the Accord and Camry can be collected as samples. Using data analysis tools in Excel, the appropriate test of variances (e.g., F-test) can be applied to compare the variances of the two samples. The resulting p-value will indicate the statistical significance of the test.

If the p-value is less than the chosen significance level (in this case, 5%), we would reject the null hypothesis and conclude that the variances are not equal. On the other hand, if the p-value is greater than or equal to the significance level, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a difference in variances.

In summary, by conducting the appropriate test of variances (such as the F-test) using data analysis tools in Excel, we can determine if the variances for Accord and Camry prices can be assumed to be equal at a 5% level of significance.

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At the 5% level of significance the variances for Accord and Camry prices are [not] equal. To determine that we can start by assuming the variances for Accord and Camry prices are equal. To do this, we can perform a hypothesis test using the appropriate test of variances.

The null hypothesis, denoted as H0, states that the variances of Accord and Camry prices are equal. The alternative hypothesis, denoted as Ha, states that the variances are not equal.
To perform the test using data analysis in Excel, you can follow these steps:
1. Organize your data: Prepare two separate columns for Accord prices and Camry prices.
2. Open Excel and go to the "Data" tab.
3. Click on "Data Analysis" (if you don't see this option, you may need to enable the Data Analysis ToolPak).
4. Select "Variance" from the list of analysis tools and click "OK".
5. In the "Input Range" field, select the range of data for Accord prices.
6. In the "Alpha" field, enter the significance level of 0.05 for the 5% level.
7. Check the "Labels" box if your data has column labels.
8. In the "Output Range" field, select where you want the test results to appear.
9. Repeat steps 5-8 for the Camry prices.
10. Analyze the output: Look for the test statistic and p-value associated with the variances. The test statistic is typically denoted as F and the p-value will indicate the level of significance.
11. Make a decision: If the p-value is less than the significance level (0.05), reject the null hypothesis and conclude that the variances are not equal. If the p-value is greater than the significance level, fail to reject the null hypothesis and conclude that the variances are equal.

To write the complete decision statement, you could say:
"At the 5% level of significance, based on the data analysis using the appropriate test of variances in Excel, the p-value is [insert p-value]. Since the p-value is [less than/greater than] the significance level of 0.05, we [reject/fail to reject] the null hypothesis. Therefore, we conclude that the variances for Accord and Camry prices are [not] equal."

Please note that the actual steps in Excel may vary depending on the version you are using, but the general process remains the same.

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The change in the volume of a sphere with radius "r" can be estimated by using the differential formula: dV = 4πr² dr.

Given V = (4/3)πr³

=> dV/dr = (4/3)*3πr²

=> dV = 4πr² dr

The formula represents the infinitesimal change in volume when the radius changes by dr. To estimate the change in volume when the radius changes from 10 cm to 10.05 cm, we can plug in the values into the formula: dV = 4π(10)² x 0.05 = 20π cm³.

This estimate tells us that the change in volume when the radius changes from 10 cm to 10.05 cm is approximately 20π cubic centimeters.

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Answer:

7/12.

Step-by-step explanation:

There are 12 numbers totals.

The numbers 1, 7, 11, 8, 2, 4, and 10 are not in Set Q.

There are seven of those numbers which means that the probability of a number not being in Set Q is 7/12.

Answer:

7/12.

Step-by-step explanation:

Answer:

-3/8

Step-by-step explanation:

Multiply the expression(PEMDAS).

Answer: -3/8

Step-by-step explanation: First you do 1/5 times 3/8 which is 3/40 and then you do 3/40 times -5 which would be -3/8.

Hope this helped!!!!

Answer:

The answer is 61:)

Step-by-step explanation:

The concept distance formula is used here to determine the distance between two points. The distance between two points is the length of the line joining the two points. The distance between point X and point Y is  4√2 units.

In analytical geometry, the distance formula is used to find the distance measure between two lines. The distance between two points of the xy-plane can be found using the distance formula.

The distance between two points is given as:

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(-1 + 5)² + (3 - 7)²

d = √(4)² + (-4)² = √16 + 16

d = 4√2 units

Thus the distance between two points X(-5,7) and Y(-1,3) is  4√2 units.

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Your question is incomplete most probably your full question was:

Find the distance between two points X(-5,7) and Y(-1,3):

Using it's concept, it is found that the odds that the winner shops in the store 4 or more times a week are given by: 9:41.

It is given by the number of desired outcomes divided by the number of non-desired outcomes.

Researching the problem on the internet, it is found that 18% of the winners shop in the store 4 or more times a week, while 82% do not, hence:

18:82 = 9:41

The odds that the winner shops in the store 4 or more times a week are given by: 9:41.

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Yes, the mysteries equal 0.06 of the total books.

Marcella said that the mysteries equal 0.06 of the total books.

To check the mysteries equal 0.06 of the total books is correct or not.

We can follow these steps:

1. Identify the total number of books and the number of mysteries: Marcella read 100 books, and 60 of them were mysteries.

2. Calculate the fraction of mysteries: Divide the number of mysteries (60) by the total number of books (100) to find the fraction of mysteries.

3. Compare the fraction with Marcella's claim: If the calculated fraction equals 0.06, then she is correct.

Now let's perform the calculations:

60 mysteries ÷ 100 total books = 0.6

Since 0.6 ≠ 0.06, Marcella's claim that the mysteries equal 0.06 of the total books is incorrect. In reality, mysteries make up 0.6 or 60% of the total books she read.

A model to support this answer could be a pie chart, where the circle represents the 100 books, and the mysteries portion is shaded in. By dividing the circle into 10 equal sections, the mysteries would fill 6 of those sections, which represents 60% of the total books.

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Answer:

The answer is 1/4.

I wish you good luck.

Answer: it's hard i thought i could do it but nope dang it

Answer:

1/2 ㏑(sec (2x + 9)) + c  ........ absolute sec (2x +9)

Step-by-step explanation:

∫tan (2x + 9) dx

let u = 2x + 9

du/dx = 2

dx = du/2 = (1/2) du

now we have ∫tan u (1/2  du)

= 1/2 ∫tan u du

= 1/2 ㏑ (sec u) ...... absolute

=1/2 ㏑(sec (2x + 9)) + c ........ absolute

Answer:

60 minute equals to 1 hour

Answer:

400 Miles in 8 Inches

Step-by-step explanation:

let x = miles

1/2 in = 25 mi

8 in = x

1/2 * 8 = 16

16*25= 400