You and your cousin go to Wendy's for big lunch you buy three burgers and two orders of fries for $6.50 your cousin buys two burgers and five orders of fries for eight dollars how much did each item cost

Answer:

-14x+12

Step-by-step explanation

f(x)=-14

The long-run multiplier gives the cumulative effect of a permanent increase in Zt on y. The long-run multiplier can be calculated as follows: β0 + β1 + β2 + β3 + …The long-run multiplier in this case is β0 + β1 + β2 = 10 + 4(2) + (-1)(1) = 17. Therefore, the long-run multiplier, given this permanent increase in z, is 17.

Finite distributed lag model:Finite distributed lag models are models where a dependent variable is regressed on its own past lags, the past lags of an independent variable, and the current value of an independent variable. A general form of the finite distributed lag model can be written as follows: y

= f(Zt, Zt-1, Zt-2, …, Zt-k) + εtwhere y is the value of the dependent variable at time t, Zt is the value of the independent variable at time t, εt is the error term in time period t, and k is the order of the finite distributed lag model.Example:Suppose the model is estimated as: y

= β0 + β1Zt + β2Zt-1 + β3Zt-2 + εtAlso suppose that z is equal to 1 in all time periods before time t. At time t, suppose z increases to 2 and then reverts back to 1 at time t-1. This model is a finite distributed lag model of order 2.The impact multiplier is β1 + 2β2. Here, the impact multiplier is the immediate change in the value of y when the independent variable changes by 1 unit. The value of β1 gives the immediate effect of a unit change in Zt on y. Similarly, β2 and β3 give the delayed effects of a unit change in Zt on y.δj can be calculated as δj

=βj+βj+1+βj+2. Plotting δj against J, we get the lag distribution as follows:In the above graph, the blue points represent δj as a function of J. The lag distribution shows that the effect of a change in z on y is felt in the current and the next two periods.Now, suppose that z is equal to 1 in all time periods before time t. At time t, suppose z increases to 2 and remains at 2 permanently. The long-run multiplier, given this permanent increase in z, is equal to the sum of all the βs. The long-run multiplier gives the cumulative effect of a permanent increase in Zt on y. The long-run multiplier can be calculated as follows: β0 + β1 + β2 + β3 + …The long-run multiplier in this case is β0 + β1 + β2

= 10 + 4(2) + (-1)(1)

= 17. Therefore, the long-run multiplier, given this permanent increase in z, is 17.

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Answer:

103y/100

Step-by-step explanation:

The sentence that needs to be revised to improve the paragraph's sentence fluency is: sentence 3.

The two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5

In a grammatical context, the correct usage of punctuation marks and active voice is required and needed to be taken into consideration by the writer for effective communication to the reader.

The correct form of the sentence in sentence 3 should be:

The inequality given is -3(2x - 5) < 5(2 - x). Using the simple algebraic method to solve the given inequality, we have:

= -3(2x - 5) < 5(2 - x)

= -6x + 15 < 10 - 5x

By collecting the like terms, we have:

= 15 - 10 < -5x + 6x

= x < 5

Therefore, the two correct representations for the inequality can be -6x + 15 < 10 - 5x  OR  x < 5

NOTE: The third question is a repetition of an incomplete question.

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The Cartesian equation for the curve r = 4csc(θ) is (x^2 + y^2) * y = 4, and it represents a semi-cubical parabola.

To find a Cartesian equation for the curve r = 4csc(θ) and identify it, we can follow these steps:

Step 1: Rewrite the equation using the definition of cosecant
Cosecant (csc) is the reciprocal of sine, so we can rewrite the equation as:
r = 4/sin(θ)

Step 2: Express r and θ in Cartesian coordinates
We know that r^2 = x^2 + y^2 and y = r * sin(θ). We can use these relationships to replace r and θ with x and y in our equation. First, we solve for sin(θ):
sin(θ) = y / r

Step 3: Substitute sin(θ) and r in the equation
Now, replace sin(θ) and r in the original equation:
r = 4/(y/r)

Step 4: Simplify and solve for y
To get a Cartesian equation, multiply both sides by y:
r * y = 4
Since y = r * sin(θ), we can replace y with r * sin(θ):
r * (r * sin(θ)) = 4

Step 5: Replace r with x^2 + y^2
Since r^2 = x^2 + y^2, we can replace r in the equation:
(x^2 + y^2) * (y) = 4

Step 6: Identify the curve
This equation represents a curve in the Cartesian plane. By analyzing the equation, we can see that it's a semi-cubical parabola.

In conclusion, the Cartesian equation for the curve r = 4csc(θ) is (x^2 + y^2) * y = 4, and it represents a semi-cubical parabola.

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The rate of change for the equation y - x = 10 is 1.

To find the rate of change for the equation y - x = 10, we need to determine how y changes with respect to x.

We can rewrite the equation as y = x + 10 by adding x to both sides.

Now, we can observe that the coefficient of x is 1. This means that for every unit increase in x, y will increase by 1. Therefore, the rate of change for this equation is 1.

In other words, as x increases by 1 unit, y will increase by 1 unit as well.

As a result, 1 represents the rate of change for the equation y - x = 10.

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There are 630 more strings of ten letters that do not include the consecutive letter stts.

Total number of combinations possible with 10 letters =2∧10

                                                                                          =1024

Calculating using inclusion method;

There are 7 possible spots for the 4 characters, from 1-4 through 7-10, and 26 options for the remaining 6 slots if we have a specific 4 character string that fits within a range of 10 characters. Then, for the double counts, we can either have the strings joined (1-7, 2-8, 3-9, and 4-10), with 23 other values, equaling 4*8=32, or the strings separated (2-5 and 6-9, 7-10, or 3-6, 7-10, equaling 6), with 22 = 4 other values, equaling 6*4 = 24, and one 10-character sequence that contained the pattern three times. STTSTTSTTS.

Number of combination containing consecutive letter stts will be

= 448 - (32 + 24) + 1

= 393.

Then,

Total Strings without the sequence stts = 1024 - 393

                                                                    = 631

Since, one is already provided in the question 631-1=630 more strings can be formed.

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let x=cost/lb of walnuts

let y=cost/lb of chocolate chips

..

3x+5y=16

6x+2y=22

6x+10y=32 (mult. eq by 2)

6x+2y=22

subtract:

8y=10

y=10/8=1.25

x=16-5y=9.75

cost/lb of walnuts=$1.25

cost/lb of chocolate chips=$9.75

Answer:

31 minutes in total

Step-by-step explanation:

Going step by step, where m = minutes after the first 3:

0.58 + 0.15m = 4.78

We want to solve for m, so we need to isolate it. The first step is to get rid of 0.58 to simplify our equation.

0.15m = 4.78 - 0.58

Now we have:

0.15m = 4.20

To isolate further, we need to remove 0.15.

m = 4.20 / 0.15

m = 28

Now, we add the first 3 minutes to m to get our total time.

28 + 3 = 31

Answer:

c

Step-by-step explanation:

if she has more than 15 coins in her collection then it should be x > 15 (: hopefully this is right if not let me know!!

Answer:

Q17) 329m²

Q15) 17,024cm²

Q14) 96

Step-by-step explanation:

Q17)

Find the surface area of the triangle.

The formula to finding the area of a triangle is (b×h)÷2.

The base and height is given, 7m and 5m, respectively. This makes the formula into (7×5)÷2.

Simplyifying it, it turns into 35÷2 which equals 17.5m². Since there are two triangles, the total area of the triangles is 35m².

Now you need to find the area of each of the rectangles. The formula to finding the area of rectangles is simply b×h.  

For the rectangle thats in view, the formula will be 14×6 which equals 84cm².

For the rectangle thats at the bottom, you can tell by the base of the triangle and the length of the first trectangle, that the base is 14m and the height is 7m, making the formula 14×7 which equals 98m².

For the last rectangle, you can tell by the base of the first rectangle and one of the sides of the traingle that the base is 14m and the height is 8m, making the formula 14×8 which equals 112m².

To find the total surface area, you need to add all the answers we came up with (all the answers in bold) together. 35m² + 84m² + 98m² + 112m² = 329m².

Q15)

If you rotate the shape anti-clockwise, you can see that the shape is a trapezium. The formula for finding the area of a trapezium is {(a+b)×h}÷2. (Basically, adding A and B together, mutiplying the answer by the height and dividing the whole result by two.)

A and B in a trapezium are the top and bottom lines, which are 80cm and 186cm. The height in the trapezium is shown by the dotted line, which is 128cm. Substituting the letters for the numbers in this problem, you get:

{(80+186)×128}÷2.

To solve it, we first need to add 80 and 186, which adds up to 266.

Now the formula is (266×128)÷2.

If we multiply 266 by 128, we get 34,048.

The formula is now 34,048÷2. Solving this, we get 17,024.

Therefore, the answer is 17,024cm².

Q14)

This question is rather simple to solve. There are 6 equal squares, and each square is 4 units in length and 4 units in width (because it's a square, both length and width is equal).

4×4 = 16. This means that each square is 16 units. Since there are 6 equal squares and each square is 16 units, you can easily multiply 6 by 16, to get 96. Making the answer 96.

Answer:

11

Step-by-step explanation:

the answer is 11 because it is 33 away from both points making it the midpoint

The exponential function is an increasing function, we get,n! = e^(log n!) is O(e^(n log n)) = O(nⁿ).Hence, n! is O(n log n).

The first task is to show that for all polynomials f(x) with a degree of n, f(x) is O(xⁿ). Let's see why this is the case.

The degree of a polynomial function is determined by its highest power.

For example, a polynomial function with a degree of 3 might look like this: f(x) = ax³ + bx² + cx + d. Here the highest degree is 3, meaning that the polynomial has a degree of 3.

A polynomial function with a degree of n, on the other hand, is one in which the highest power is n.

Suppose we have a polynomial function f(x) with a degree of n.

We may make some general statements about this function as a result of this fact.

To begin, we must identify what we mean by "big O" notation.

f(x) is said to be O(xⁿ) if there exists a positive constant C and a positive integer k such that |f(x)| ≤ C|xⁿ| for all x > k.

For this, we take a polynomial function f(x) with a degree of n.

Then, suppose that the coefficients a₀, a₁, a₂,..., aₙ have absolute values that are all less than or equal to some constant M.

We will now prove that f(x) is O(xⁿ) by making a few calculations.

|f(x)| = |a₀ + a₁x + a₂x² + ... + aₙxⁿ|≤ |a₀| + |a₁x| + |a₂x²| + ... + |aₙxⁿ|≤ M + M|x| + M|x²| + ... + M|xⁿ|≤ M(1 + |x| + |x²| + ... + |xⁿ|)Let y = max{1, |x|}.

Then, y, y², ..., yⁿ are all greater than or equal to 1, so|f(x)| ≤ M(1 + y + y² + ... + yⁿ)≤ M(1 + y + y² + ... + yⁿ + ... + yⁿ)≤ M(yⁿ+¹)/(y - 1)

Now we have a polynomial function f(x) with a degree of n that is O(xⁿ).

For the second part, we need to show that n! is O(n log n).

We have n! = n(n - 1)(n - 2)....1 ≤ nⁿ.

Using Stirling's approximation,n! ≈ (n/e)ⁿ √(2πn).

Taking the logarithm of both sides, log n! ≈ n log n - n + 1/2 log (2πn)Thus, log n! is O(n log n).

Since the exponential function is an increasing function, we get,n! = e^(log n!) is O(e^(n log n)) = O(nⁿ).Hence, n! is O(n log n).

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Answer:

0 2.4608

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

hope this helps

trust me

Note that where the diameter of the bicycles are 60 inches and 9 inches respectively, the rotation of each tire after traveling 600 feet would be:

Small Tire (9in Diameter ) =   188.4 Rotations.

Big Tire (60 in Diameter) = 3.2 rotations

Note that the above were arrived at using the knowledge of Circumference.

Note that the circumference in geometry is the perimeter of a circle or ellipse.

This is calculated using the formula:

C = 2πr

or

C = πD

Where C = Circumference

R = radius

D = Diameter which is 2r

π = 3.14

To arrive at how many rotations each tire did, we'd have to divide the distance traveled by the circumference of each tire.

For the Small Tire, the diameter is 9 feet.

Thus, the circumference of Small Tire = 3.14 * 9

= 28.26 feet

Thus, the rotations by the small tire is:

600/28.26

= 21.2314225053

\(\approx\) 21.2feet

Applying the same process to the big tire, we have:

C =  3.14 * 60

C = 188.4

The rotations by the big tire =
600/188.4

= 3.1847133758

\(\approx\) 3.2 feet.

Thus, the rotations  by each tire over 600ft is given as:

Big Tire = 3.2

Small Tire =  188.4 .

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Full Question:

See attached image.

The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.

In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.

On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.

In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.

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The complete question is:

Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.

A. Continuous, because x is a random variable that cannot be counted.

B. Discrete, because x is a random variable that can be counted.

Answer:The total cost is $41.04

Step-by-step explanation:

Answer:

Your answer(s) is $1,706.67, $1,462.86, or $1,280

Step-by-step explanation:

This really varies based on whether you take $80 as equal to 6 people, 7 people, or 8 people.

I'll list all three explanations and you can choose one.

6 people: 1,706.67 (rounded to nearest cent)

128 ÷ 6 = 21.33333333

21.33333333 × 80 = 1,706.67

7 people: 1,462.86 (rounded to nearest cent)

128 ÷ 7 = 18.28571428571429

18.28571428571429 × 80 = 1,462.86

8 people:

128 ÷ 8 = 16

16 × 80 = 1,280

a. Correlation: This method measures the strength and direction of the relationship between two continuous variables.
b. Linear Regression: This method predicts the value of one continuous variable based on the value of another continuous variable.
c. Independent t-test: This method compares the means of two independent groups to determine if there is a significant difference between them.
d. Dependent t-test: This method compares the means of two related groups (e.g., pre-test and post-test) to determine if there is a significant difference between them.

a. Correlation - This statistical method is used when the research question involves examining the relationship between two continuous variables. For example, "Is there a correlation between hours spent studying and GPA?"

Research question type: "Is there a relationship between variable A and variable B?"
b. Linear Regression - This statistical method is used when the research question involves predicting a continuous dependent variable based on one or more continuous independent variables. For example, "Can we predict income based on years of education and work experience?"

Research question type: "Can we predict variable A based on variable B?"
c. Independent t-test - This statistical method is used when the research question involves comparing the means of two independent groups on a continuous variable. For example, "Is there a difference in salaries between male and female employees?"

Research question type: "Is there a significant difference in variable A between Group 1 and Group 2?"
d. Dependent t-test - This statistical method is used when the research question involves comparing the means of two related groups on a continuous variable. For example, "Is there a significant difference in test scores before and after a study intervention?"

Research question type: "Is there a significant difference in variable A between the pre-test and post-test results?"

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Answer:

Step-by-step explanation:So, in the form of (W)(x+c)^2+n,

Answer:

Step-by-step explanation:

Line A: Neither

Line B: Neither

Answer:

105

Step-by-step explanation:

x + 25 + 80 = 180

x + 105 = 180

x = 75

x + y = 180

75 + y = 180

y = 105

Answer:

option 6b):) is correct

The expression for the volume of water contained in the rectangular swimming pool with a uniform depth of 6 feet is l * w * 6.

The expression for the volume of water contained in a rectangular swimming pool can be determined by multiplying the length, width, and depth of the pool. In this case, the water has a uniform depth of 6 feet.

The formula for the volume of a rectangular prism (such as a swimming pool) is:

Volume = Length * Width * Depth

Given that the length of the pool is l feet, the width is w feet, and the depth is 6 feet, the expression for the volume of water in the pool can be written as:

Volume = l * w * 6

The expression for the volume of water contained in a rectangular swimming pool of length l feet and width w feet, assuming the water has a uniform depth of 6 feet is Volume = l x w x 6 cubic feet.

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Answer:

first one

Step-by-step explanation:

The equation that models the future cost of gasoline is y=1.19(1.003)^(x), where "y" represents the future cost of gasoline per gallon and "x" represents the number of months since January 1, 1999.

In this equation, the initial cost of gasoline is $1.19 per gallon, and the cost increases by 0.3% per month, which is represented by the factor of (1.003)^(x).

Using this equation, you can calculate the future cost of gasoline for any number of months after January 1, 1999. For example, if you want to calculate the cost of gasoline 24 months after January 1, 1999, you can plug in x=24 and calculate y as follows:

y = 1.19(1.003)^(24)

y = 1.19(1.08357)

y = 1.288 per gallon

Therefore, the predicted cost of gasoline 24 months after January 1, 1999 is $1.288 per gallon.

Answer:

-4

Step-by-step explanation:

firt you add a minus one on both sides:

7n + 8 + 1 + (- 1) = -19 + (- 1) => 7n + 8 = -20

then add a minus eight on both sides:

7n + 8 + (- 8) = -20 + (- 8) => 7n = -28

finally in order to find (n) , devide both sides by seven:

7n ÷ 7 = (- 28) ÷ 7 => [ n = -4 ]

Answer:

x+y+2/3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

HOPE IT HELPS

Answer:

4,500 ÷ 50 = 90

&

41 = 4,100 ÷ 100

If you are unable to choose multiple answers, go with 4,500 ÷ 50 = 90

Step-by-step explanation:

4,108 ÷ 63 = 65.2063492063

Answer:

12m

Step-by-step explanation:

Area of the square = Side x Side (formula)

Area = 144 sq.m

(Side)^2= 144 ( given)

Side = + or - 12 ( taking square root on both sided)

Discarding negative sign , side is 12 m

Ans : length of its side = 12m

As the length increases for a rectangle with an area of 144 square units, the width decreases to maintain the same area. The area of a rectangle can be calculated using the formula:
Area = length x width.

Given that the area is 144 square units, we can have various combinations of length and width that would give us this area. For example, the length could be 12 units and the width could be 12 units. Alternatively, the length could be 8 units and the width could be 18 units. These are just two of many possible combinations.

What happens to the width of the rectangle as the length increases?

As we increase the length of the rectangle, we have to decrease the width of the rectangle in order to maintain the same area. This is because the area is fixed and we can’t change it. Therefore, if we increase the length, the only way to keep the area the same is to decrease the width. If we don’t decrease the width, the area will increase.

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