At a particular restaurant, each slider has 225 calories and each chicken wing has 70 calories. A combination meal with sliders and chicken wings has a total of 7 sliders and chicken wings altogether and contains 1110 calories. Write a system of equations that could be used to determine the number of sliders in the combination meal and the number of chicken wings in the combination meal.

To find the length of each side of a 200 square feet square garden, we can take the square root of the area, giving us the approximate side length to the nearest whole number is 14 feet(approximately 14.14).

To find the length of each side of the square garden, we need to determine the square root of the given area of 200 square feet. The formula for the area of a square is side length squared. In this case, the area is 200 square feet, so we need to find the side length that, when squared, equals 200. Taking the square root of 200 gives us approximately 14.14. However, since we are looking for a whole number length, we round this value to the nearest whole number, which is 14. Therefore, each side of the square garden should be approximately 14 feet long. Rounding the value to the nearest whole number ensures that we have an estimated length that is practical for practical purposes and allows for easy measurement and planning.

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The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

The mean absolute deviation (MAD) measures the average distance between each data point and the mean of the dataset. To find the MAD, you need to follow these steps:

1. Calculate the mean of the dataset by adding up all the numbers and dividing the sum by the total number of data points. In this case, the dataset consists of the following numbers: 3, 6, 3.8, 3.2, and 3.4. Adding them up gives us a sum of 19.4. Dividing this sum by 5 (since there are 5 data points) gives us a mean of 3.88.

2. Find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value. For example, for the first data point, 3, the absolute deviation would be |3 - 3.88| = 0.88. Repeat this step for all the data points.

3. Calculate the mean of the absolute deviations by adding up all the absolute deviations and dividing the sum by the total number of data points. In this case, the absolute deviations are: 0.88, 2.12, 0.72, 0.68, and 0.58. Adding them up gives us a sum of 4.98. Dividing this sum by 5 gives us a mean of 0.996.

So, the mean absolute deviation for the given dataset is approximately 0.996.


The mean absolute deviation helps us understand how much each data point varies from the mean of the dataset. By calculating the absolute deviation for each data point and finding the average, we can determine the typical amount of variation in the dataset.


The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

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Answer:

(8,7)

Step-by-step explanation:

To find the x coordinate of the midpoint

Add the x coordinates of the endpoints and divide by 2

(10+6)/2 = 16/2 = 8

To find the y coordinate of the midpoint

Add the y coordinates of the endpoints and divide by 2

(5+9)/2 = 14/2 = 7

The coordinate of the midpoint is (8,7)

X = 11 when y = 4 when X=a+b+4 and a directly proportional to y squared , b is inversely proportional to y.

Given that a is directly proportional to y^2 and b is inversely proportional to y, we can write the following two relationships:

\(a = k * y^2\)

\(b = m / y\)

where k and m are constants. From the first equation, we can find the value of k when y = 2:

\(a = k * 2^2\)

\(k = a / 4\)

And from the second equation, we can find the value of m when y = 2:

\(b = m / 2\)

\(m = 2b\)

Substituting these values into the equation X = a + b + 4, we can find X when y = 2:

\(X = (k * 2^2) + (m / 2) + 4\)

\(X = (a / 4) * 4 + 2b + 4\)

\(X = a + 2b + 4\)

\(X = 18\)

We can now use the value of k and m to find X when y = 4:

\(X = (k * 4^2) + (m / 4) + 4\)

\(X = (a / 4) * 16 + (2b) / 4 + 4\)

\(X = 4a + 2b + 4\)

Substituting the value of X = 18 when y = 2, we can solve for a and b:

18 = 4a + 2b + 4

14 = 4a + 2b

7 = 2a + b

Solving the system of equations for a and b, we find:

a = 5

b = 2

Finally, substituting these values into the equation X = a + b + 4, we can find X when y = 4:

X = (5) + (2) + 4

X = 11

Therefore, X = 11 when y = 4.

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Answer: (-9,3)

Step-by-step explanation: You have to basically get the first pair and label it x1 and y1 then go to the other pair and label it x2 and y2. Then you do y2-y1/x2-x1 to get the slope

Answer:

245

Step-by-step explanation:

70% =.07

350 × .07 =245

Answer:

The rule of dilation is \(P'(x,y) = 3\cdot P(x,y)\).

The vertices of the dilated triangle are \(A'(x,y) = (-21, -18)\), \(B'(x,y) = (-15,-10)\) and \(C'(x,y) = (-3,-15)\), respectively.

Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

\(P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)]\) (1)

Where:

\(O(x,y)\) - Center of dilation, dimensionless.

\(k\) - Scale factor, dimensionless.

\(P(x,y)\) - Original point, dimensionless.

\(P'(x,y)\) - Dilated point, dimensionless.

If we know that \(O(x,y) = (0,0)\), \(k = 3\), \(A(x,y) = (-7,-6)\), \(B(x,y) = (-5,-2)\) and \(C(x,y) =(-1,-5)\), then dilated points of triangle ABC are, respectively:

\(A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)]\) (2)

\(A'(x,y) = (0,0) + 3\cdot [(-7,-6)-(0,0)]\)

\(A'(x,y) = (-21, -18)\)

\(B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)]\) (3)

\(B'(x,y) = (0,0) + 3\cdot [(-5,-2)-(0,0)]\)

\(B'(x,y) = (-15,-10)\)

\(C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]\) (4)

\(C'(x,y) = (0,0) +3\cdot [(-1,-5)-(0,0)]\)

\(C'(x,y) = (-3,-15)\)

The rule of dilation is:

\(P'(x,y) = 3\cdot P(x,y)\) (5)

The vertices of the dilated triangle are \(A'(x,y) = (-21, -18)\), \(B'(x,y) = (-15,-10)\) and \(C'(x,y) = (-3,-15)\), respectively.

Answer:

B

Step-by-step explanation:

To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.

The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².

To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).

Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.

By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.

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Answer:

Pictures below showing the answer :)

Step-by-step explanation:

Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.

To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.

The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.

Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.

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Answer is 17/50

Step-by-step explanation: 34/100 = 17/50 easy :D

Answer:

17/50

Step-by-step explanation:

34/100=17/50

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

4.69 in

Step-by-step explanation:

By sine rule:

\( \frac{ \sin \: 23 \degree}{a} = \frac{ \sin \: 90 \degree}{12} \\ \\ \frac{ \sin \: 23 \degree}{a} = \frac{1}{12} \\ \\ a = 12 \: \sin 23 \degree \\ \\ a = 12 \times 0.3907311285 \\ \\ a = 4.68877354 \\ \\ a \approx 4.69\: in\)

Answer:

C

Step-by-step explanation:

So this one is pretty much like the last one

the distance on the x values is 6 and the distance on the y values is 4

1/6 of 6 is 1 and 1/6 of 4 is .66

We subtract the coordinates from R

4-1 is 3

2 -.66 =1.33

The 1/6 point is at (-3,1.33)

By standard deviation,

H​​​​​​0:μ=2.5

H​​​​​​a:μ<2.5 is the appropriate test to perform.

How to interpret a standard deviation?

The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.

                     Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

From the given information,

t-test about mean,

Null and Alternative hypothesis is,

H​​​​​​0:μ=2.5

H​​​​​​a:μ<2.5

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Answer:

46

Count up.

32, 33, 34, 35, 36.

So 32 + 4 = 36

No go from there:

36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46

So 36 + 10 = 46

Your answer is 46

Answer:

46

Step-by-step explanation:

32+4+10=

Add 32 and 4 together to get 36.

36+10=

Add 36 and 10 together to get 46.

46

Therefore, the vector form of the equation y = x² - 8x + 15 is y = (x - 4)² + 14. The vertex of the parabola is at the point (4, 14).

To convert the quadratic equation y = x² - 8x + 15 from standard form to vertex form, we need to complete the square by adding and subtracting a constant term. Here's the step-by-step explanation:

Factor the coefficient of x²: The coefficient of x² is 1, so we don't need to factor it.

Group the x terms: Rewrite the quadratic equation as y = (x² - 8x) + 15.

Complete the square: To complete the square, we need to add and subtract a constant term that will make the expression inside the parentheses a perfect square trinomial. The constant we need to add is half of the coefficient of x, squared: (8/2)² = 16.

y = (x² - 8x + 16 - 16) + 15 // add and subtract 16

y = (x - 4)² - 1 + 15 // factor and simplify

Simplify: Now we can simplify the expression by combining the constants -1 and 15 to get 14.

y = (x - 4)² + 14

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Answer:

  100 square inches

Step-by-step explanation:

The width of the shelf is BC = 20 - 10 = 10 inches.

The height of the shelf is AB = 30 - 10 = 20 inches.

The area of a triangle with these dimensions is ...

  A = (1/2)bh

  A = (1/2)(10 in)(20 in) = 100 in^2

The area of the shelf is 100 square inches.

Answer:

Let d be the distance from George's home to his school.

The time it takes George to drive to school is:

t1 = d / 25

The time it takes George to cycle home is:

t2 = d / 10

We know that it takes him 36 minutes more to cycle home than to drive to school, so:

t2 = t1 + 36/60

Substituting the expressions for t1 and t2:

d / 10 = d / 25 + 36/60

Multiplying both sides by the least common multiple of the denominators:

6d / 60 = 2d / 60 + 36 / 60

4d / 60 = 36 / 60

4d = 36

d = 9

Therefore, George's school is 9 miles from his home.

Answer:

25h = 10(h + .6)

25h = 10h + 6

15h = 6, so h = 2.5 hours

(25 mph)(2.5 hours) = 62.5 miles

Using proportions, it is found that:

------------------------

------------------------

1 feather - 0.0082 grams

7000 feathers - x grams

Applying cross multiplication:

\(x = 0.0082 \times 7000 = 57.4\)

A regular chicken has a weight of 57.4 grams.

------------------------

490 000 - 1

40 000 000 - x

Applying cross multiplication:

\(490000x = 40000000\)

\(x = \frac{40000000}{490000}\)

\(x = 81.63\)

Coronavirus cases from US surpasses Guatemala by 81.63 times.

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Answer:

16= 2 (3+b)

16 = 6+2b

10 = 2b

b = 5

Step-by-step explanation:

UB nu un MB a nshauIduxoa

Please find the attached photograph for your answer

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

the binary representation of 63.25 as 111111.01.

To convert the decimal number 63.25 to binary, we need to convert the integer part (63) and the fractional part (0.25) separately.

1. Converting the integer part (63):

  Divide 63 by 2, and keep track of the remainders:

  63 ÷ 2 = 31 (remainder 1)

  31 ÷ 2 = 15 (remainder 1)

  15 ÷ 2 = 7 (remainder 1)

  7 ÷ 2 = 3 (remainder 1)

  3 ÷ 2 = 1 (remainder 1)

  1 ÷ 2 = 0 (remainder 1)

  The remainders in reverse order give us the binary representation of the integer part: 111111.

2. Converting the fractional part (0.25):

  Multiply 0.25 by 2 and record the whole number part:

  0.25 × 2 = 0.5 (0)

  0.5 × 2 = 1.0 (1)

  The whole number parts give us the binary representation of the fractional part: 01.

Putting the integer and fractional parts together, we have the binary representation of 63.25 as 111111.01.

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The binary representation of the decimal number 63.25 is 111111.01.

To convert the decimal number 63.25 to binary, we need to separate the whole number part and the fractional part.

Whole Number Part:

Divide the whole number part (63) by 2:

Divide the quotient (31) by 2:

Divide the quotient (15) by 2:

Divide the quotient (7) by 2:

Divide the quotient (3) by 2:

Divide the quotient (1) by 2:

Reading the remainders in reverse order, the binary representation of the whole number part is 111111.

Fractional Part:

To convert the fractional part (0.25) to binary, we multiply the fractional part by 2 and note the whole number part of the result. Repeat this process until the fractional part becomes 0 or until the desired precision is achieved.

Multiply the fractional part (0.25) by 2:

Multiply the fractional part (0.5) by 2:

Since the fractional part becomes 0, we stop the process.

Reading the whole number parts in order, the binary representation of the fractional part is 01.

Combining the binary representation of the whole number part and the fractional part, the binary representation of the decimal number 63.25 is 111111.01.

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Answer:

41.75

Step-by-step explanation:

I think my math might be wrong

Answer:

$ 20,189.65

Step-by-step explanation:

Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?

From the above question, we are to find the Principal. The formula for Principal compounded continuously =

P = A / e^rt

Where:

A = Amount after time t = $100,000

r = Interest rate = 4%

t = Time in years = 40 years

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for P

P = A / e^rt

P = 100,000.00 / e ^(0.04×40)

P = $ 20,189.65

Therefore, the amount Jake's parents should invest = $ 20,189.65

Answer:

D: product

Step-by-step explanation:

All I remember is that the answer to a division problem is quotient and multiplication is a product. Hope this helps :)