A machine of a fast food restaurant produces a bag of French fries
every minute, but half of them will be consumed every 10 minutes. If
it is 08:00 now and there are 18 bags of French fries inthat restaurant,
at most how many bag(s) of French fries is/are there after 36 minutes?

Answer:

1) is height(age)

2) should be shipping(distance)

3) g(8) = 28

4) f(3) = 18

Step-by-step explanation:

plug in 8 as x. 5(8)- 12 --> 40 -12 = 28.

plug in 3 as x. 2x² --> 2(3)^2--> 2(9) = 18.

Answer:

false

Step-by-step explanation:

polygons have more then 3 sides and are enclosed figures such as a pentagon may be classified as a polygon.

Answer:

6 hamburgers.

9 pops.

Step-by-step explanation:

18 divided by 3 = 6

18 divided by 2 = 9

Answer:

6 hamburgers. 9 pops.

Step-by-step explanation:

18 divided by 3 = 6

18 divided by 2 = 9

The simple linear regression model is given by yi = β0 + β1xi + εi, where β0 is the intercept, β1 is the slope, xi is the predictor variable, yi is the response variable, and εi is the error term. These are the least squares coefficient estimates for the simple linear regression model.

The goal of least squares regression is to find the values of β0 and β1 that minimize the sum of the squared residuals.
To find the least squares coefficient estimates, we need to minimize the sum of the squared residuals. The residual is the difference between the observed value of yi and the predicted value of yi. The predicted value of yi is given by β0 + β1xi. Therefore, the residual can be written as yi - (β0 + β1xi).
The sum of squared residuals is given by:
Σi=1n (yi - β0 - β1xi)²
To find the values of β0 and β1 that minimize this sum, we take the partial derivatives with respect to β0 and β1 and set them equal to zero:
∂/∂β0 Σi=1n (yi - β0 - β1xi)² = 0
∂/∂β1 Σi=1n (yi - β0 - β1xi)² = 0
Solving these equations yields:
βˆ 0 = ¯y − βˆ 1x
and
βˆ 1 = Pn i=1(xi − x¯)(yi − y¯) / Pn i=1(xi − x¯)²
where y¯ = 1 n Pn i=1 yi and x¯ = 1 n Pn i=1 xi. These are the least squares coefficient estimates for the simple linear regression model.

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Answer: Prime number.

Step-by-step explanation: Hopefully this helped you ;)

Answer:

prime....

Step-by-step explanation:

Answer:

y=6x+8

Step-by-step explanation:

Since the lines are parallel, the slopes are the same. Once you have y=6x+b, you plug in (0,8) as the y-intercept and find that b=8.

Since Y = 1/X, then X = 1/Y. The PDF of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to z of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to zero.

The PDF of X is given by fx(x) = { 4x³, 0 < x ≤ 1}When 0 < Y ≤ 1, the values of X would be 1/Y < x ≤ ∞ .Thus, the PDF of Y, g(y) would be g(y) = fx(1/y) × |dy/dx| where;dy/dx = -1/y², y < 0 (since X ≤ 1, then 1/X > 1). The absolute value is used since the derivative of Y with respect to X is negative. Note that;g(y) = 4[(1/y)³] |-(1/y²)|g(y) = 4/y⁵ , 0 < y ≤ 1. The PDF of Y is 4/y⁵, where 0 < y ≤ 1. When Y < 0 or y > 1, the PDF of Y is equal to zero. The above can be verified by integrating the PDF of Y from 0 to 1.

∫ g(y) dy  = ∫ 4/y⁵ dy, from 0 to 1∫ g(y) dy  = (-4/y⁴) / 4, from 0 to 1∫ g(y) dy  = -1/[(1/y⁴) - 1], from 0 to 1∫ g(y) dy  = -1/[(1/1⁴) - 1] - (-1/[(1/0⁴) - 1])∫ g(y) dy  = -1/[1 - 1] - (-1/[(1/0) - 1])∫ g(y) dy  = 1 + 1 = 2. From the above, it can be observed that the integral of g(y) is equal to 2, which confirms that the PDF of Y is valid. The PDF of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to zero.

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Answer: 66

Step-by-step explanation:

0 - 12 = -12

54--12 = 66

66 is the difference

Therefore, the coefficient of variation of max{x1, x2, ..., x10} is 0.848.

To calculate the coefficient of variation of max{x1, x2, ... , x10}, we first need to find the mean and standard deviation of this random variable.

The probability that the maximum value is less than or equal to x is equal to the probability that each of the 10 variables is less than or equal to x. Since each variable is uniformly distributed on (0, 1), this probability is x^10.

Therefore, the cumulative distribution function (CDF) of the maximum variable is F(x) = x^10, for 0 < x < 1. Taking the derivative of the CDF, we get the probability density function (PDF) of the maximum variable:

f(x) = 10x^9

The mean of the maximum variable is given by:

E[max{x1, x2, ..., x10}] = ∫[0,1] x f(x) dx = ∫[0,1] 10x^10 dx = 1/11

To find the standard deviation, we need to calculate the second moment of the maximum variable:

E[(max{x1, x2, ..., x10})^2] = ∫[0,1] x^2 f(x) dx

Using integration by parts, we can evaluate this integral as:

E[(max{x1, x2, ..., x10})^2] = 10/132

Therefore, the variance of the maximum variable is:

Var[max{x1, x2, ..., x10}] = E[(max{x1, x2, ..., x10})^2] - (E[max{x1, x2, ..., x10}])^2 = 10/132 - (1/11)^2 = 879/14641

Finally, the coefficient of variation is the ratio of the standard deviation to the mean:

CV = sqrt(Var[max{x1, x2, ..., x10}]) / E[max{x1, x2, ..., x10}] = sqrt(879/14641) / (1/11) = 0.848

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To find a point along a line a certain distance away from another point, you can use the concept of vectors and parametric equations. By determining the direction vector of the line and normalizing it, you can scale it by the desired distance and add it to the coordinates of the starting point to obtain the coordinates of the desired point.

To find a point along a line a certain distance away from another point, you can follow these steps. First, determine the direction vector of the line by subtracting the coordinates of the starting point from the coordinates of the ending point. Normalize this vector by dividing each of its components by its magnitude, ensuring it has a length of 1.

Next, scale the normalized direction vector by the desired distance. Multiply each component of the normalized direction vector by the distance you want to move along the line. This will give you a new vector that points in the direction of the line and has a magnitude equal to the desired distance.

Finally, add the components of the scaled vector to the coordinates of the starting point. This will give you the coordinates of the desired point along the line, a certain distance away from the starting point. By following these steps, you can find a point on a line at a specific distance from another point.

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Answer:

Step-by-step explanation:

Answer: \(24\ ft\)

Step-by-step explanation:

Given

The slant height of the square pyramid is \(l=25\ ft\)

The length of the side of the base is \(a=14\ ft\)

for the square pyramid, height is given by

\(\Rightarrow h=\sqrt{l^2-r^2}\quad \quad [\text{where r=}\frac{a}{2}]\\\Rightarrow h=\sqrt{25^2-7^2}\\\Rightarrow h=\sqrt{625-49}\\\Rightarrow h=\sqrt{576}\\\Rightarrow h=24\ ft\)

Thus, the height of the prism is \(24\ ft\)  

Answer:

x=15

Step-by-step explanation:

It is requred to test the exactness of the given ODE and then find its general solution. Then, if the given ODE is not exact, an integrating factor must be used to make it exact.

This given ODE is:(2xy - 2y²e^(3x))dx + (x² - 2ye^(2x))dy = 0.To verify the exactness of the given ODE, we determine whether or not ∂Q/∂x = ∂P/∂y, where P and Q are the coefficients of dx and dy respectively, as follows: P = 2xy - 2y²e^(3x) and Q = x² - 2ye^(2x).Then, we have ∂P/∂y = 2x - 4ye^(3x) and ∂Q/∂x = 2x - 4ye^(2x).Thus, since ∂Q/∂x = ∂P/∂y, the given ODE is exact.To solve the given ODE, we have to find a function F(x,y) that satisfies the equation Mdx + Ndy = 0, where M and N are the coefficients of dx and dy respectively. This is accomplished by integrating both P and Q with respect to their respective variables. We have:∫Pdx = ∫(2xy - 2y²e^(3x))dx = x²y - y²e^(3x) + g(y), where g(y) is a function of y. We differentiate both sides of this equation with respect to y, set it equal to Q, and then solve for g(y). We have:(d/dy)(x²y - y²e^(3x) + g(y)) = x² - 2ye^(2x)Thus, g'(y) = 0 and g(y) = C, where C is a constant.Substituting the value of g(y) in the equation above, we get:x²y - y²e^(3x) + C = 0, as the general solution.The given ODE is exact, so we can solve it by finding a function that satisfies the equation Mdx + Ndy = 0. After integrating both P and Q with respect to their respective variables, we find that the general solution of the given ODE is x²y - y²e^(3x) + C = 0.

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We can say with 90% confidence that the increase in proportion of people satisfied with their financial situation is between 1.05% and 6.71%.

To calculate the confidence interval for the increase in proportion of people satisfied with their financial situation, we need to first calculate the proportions for both years:

Proportion in year 1 = 478/2038 = 0.2342
Proportion in year 2 = 537/1967 = 0.2730

The increase in proportion is:
0.2730 - 0.2342 = 0.0388

To calculate the confidence interval, we can use the formula:
CI = (point estimate ± (critical value x standard error))

The point estimate is the increase in proportion we just calculated: 0.0388

The critical value can be found using a z-table for a 90% confidence level. The z-value for a 90% confidence level is 1.645.

The standard error can be calculated using the formula:
sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)]

where p1 and n1 are the proportion and sample size for year 1, and p2 and n2 are the proportion and sample size for year 2.

Plugging in the values, we get:
SE = sqrt[(0.2342(1-0.2342)/2038) + (0.2730(1-0.2730)/1967)] = 0.0174

Now we can plug in all the values to get the confidence interval:
CI = (0.0388 ± (1.645 x 0.0174)) = (0.0105, 0.0671)

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Answer:

the first problem is: -7h - 12

the second one is: 4 (3n+2m-1) i think

Answer:

I think it's 35.8

Step-by-step explanation:

ohxdotcoobtx

Answer:

$858.02

Step-by-step explanation:

Take $788.99 times 8.75% = 69.03 this is the amount of tax

Add 788.99 and 69.03 = 858.02

Answer:

the answer would be $858.03

If the original price of a football jersey is $95, and it is sold at a store.

The retail price of a football jersey at the store is unknown, but it is less than the original price of $95. A retail price is the price that a retailer sets for a product that they are selling at their store or online. It is usually higher than the wholesale price that the retailer paid for the product.

Therefore, to determine the retail price of the football jersey, we need to know what discount is being offered by the store.

If there is a 20% discount, the retail price of the football jersey would be $76 ($95 - 0.20 x $95). If there is a 30% discount, the retail price of the football jersey would be $66.50 ($95 - 0.30 x $95).

If there is a 50% discount, the retail price of the football jersey would be $47.50 ($95 - 0.50 x $95).

In conclusion, without knowing the discount offered at the store, we cannot determine the exact retail price of the football jersey.

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Answer:

0.2330

Step-by-step explanation:

Answer: hello your question lacks some data hence I will be making an assumption to help resolve the problem within the scope of the question

answer:

≈ 95 units ( output level )

Step-by-step explanation:

Given data :

P = 2000 - Q/10

TC = 2Q^2 + 10Q + 200 ( assumed value )

The output level where a purely monopolistic market will maximize profit

at MR = MC

P = 2000 - Q/10 ------ ( 1 )

PQ = 2000Q - Q^2 / 10 ( aka TR )

MR = d (TR ) / dQ = 2000 - 2Q/10 = 2000 - Q/5

TC = 2Q^2 + 10Q + 200 ---- ( 2 )

MC = d (TC) / dQ = 4Q + 10

equating MR = MC

2000 - Q/5 = 4Q + 10

2000 - 10 = 4Q + Q/5

1990 = 20Q + Q

∴ Q = 1990 / 21 = 94.76 ≈ 95 units ( output level )

Answer: 12:2, 18:3, 24:4

Step-by-step explanation: You can multiply 6 by 2, 3, and 4 because the graph has 4 columns. Then multiply the top by 2, 3, and 4,

Yes, 0.5 - 3(-2x - 1 over 3 + 4 + 8x) and -1.5(12x + 7) are equivalent expressions.


To prove this, we can use the distributive property:

0.5 - 3(-2x - 1 over 3 + 4 + 8x)

= 0.5 - 3(-2x/3 - 1/3 + 4/3 + 8x/3)

= 0.5 - (-6x - 1 + 4 + 24x)/3

= (0.5*3 + 6x + 1 - 4 - 24x)/3

= (-1.5*12x - 1.5*7)/3

= -1.5(12x + 7)
No, 0.5 - 3(-2x -1 over 3 +4 + 8x) and -1.5(12x +7) are not equivalent expressions.

To determine if two expressions are equivalent, we can simplify both expressions and compare them.

For the first expression, 0.5 - 3(-2x -1 over 3 +4 + 8x), we can distribute the -3 and combine like terms:

0.5 - 3(-2x) - 3(-1) - 3(3) - 3(4) - 3(8x)
= 0.5 + 6x + 3 - 9 - 12 - 24x
= -18x - 7.5

For the second expression, -1.5(12x +7), we can distribute the -1.5:

-1.5(12x) - 1.5(7)
= -18x - 10.5

As we can see, the simplified expressions are not the same, so they are not equivalent expressions.

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To determine the minimum and maximum head diameters that will fit the clientele, we need to find the corresponding z-scores for the smallest and largest percentages.

For the smallest 2.6% of head diameters:

We want to find the z-score corresponding to the area below 2.6% in the standard normal distribution. Using a standard normal distribution table or a calculator, we find that the z-score for a cumulative probability of 0.026 is approximately -1.88 (rounded to 2 decimal places).

To calculate the minimum head diameter:

min = mean + (z-score * standard deviation)

min = 7 in + (-1.88 * 1 in)

min = 7 in - 1.88 in

min ≈ 5.12 in (rounded to 1 decimal place)

Therefore, the minimum head diameter that will fit the clientele is approximately 5.1 inches.

For the largest 2.6% of head diameters:

We want to find the z-score corresponding to the area above 97.4% in the standard normal distribution (1 - 2.6% = 97.4%). Using a standard normal distribution table or a calculator, we find that the z-score for a cumulative probability of 0.974 is approximately 1.88 (rounded to 2 decimal places).

To calculate the maximum head diameter:

max = mean + (z-score * standard deviation)

max = 7 in + (1.88 * 1 in)

max = 7 in + 1.88 in

max ≈ 8.88 in (rounded to 1 decimal place)

Therefore, the maximum head diameter that will fit the clientele is approximately 8.9 inches.

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The given situation represents the (B) command economy.

In a planned economy, the production, distribution, and allocation of capital goods all occur in accordance with economic plans that may be economy-wide or specific to a particular class of products and services.

Centralized, decentralized, participative, or Soviet-style economic planning is all possible in a planned economy.

Depending on the precise kind of planning mechanism used, the degree of centralization or decentralization in decision-making and involvement will vary.

Central planning has been utilized in socialist regimes built on the Soviet model, however, some, like the former Socialist Federal Republic of Yugoslavia, have embraced some kind of market socialism.

Therefore, the given situation represents the (B) command economy.

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Answer:

Therefore, the average of the ten scores is 15.1.

Step-by-step explanation:

To find the average of the ten scores, we need to sum all of the scores and divide by the number of scores. The sum of the eight scores is 8 * 14.5 = 116. The sum of the two additional scores is 17 + 18 = 35. The total sum of all ten scores is 116 + 35 = 151. The average of the ten scores is therefore 151 / 10 = 15.1.

Aurelio must purchase a minimum of 207 carpet tiles to cover the area of his living room floor.

To find the minimum number of carpet tiles needed, we need to calculate the total number of tiles required to cover the area of Aurelio's living room floor.

The area of the living room floor is given as 813 feet wide by 1010 feet long. We convert these dimensions to inches to match the dimensions of the carpet tiles.

Width in inches = 813 feet * 12 inches/foot

= 9756 inches

Length in inches = 1010 feet * 12 inches/foo

t = 12120 inches

The dimensions of each carpet tile are given as 2020 inches wide by 2020 inches long.

To calculate the number of carpet tiles required, we divide the total area of the living room floor by the area of each carpet tile.

Number of tiles = (9756 inches * 12120 inches) / (2020 inches * 2020 inches)

             = 118212720 / 4080400

             ≈ 289.43

Since we cannot purchase a fraction of a carpet tile, Aurelio must purchase a minimum of 207 carpet tiles to cover the entire area of his living room floor.

Aurelio needs to buy at least 207 carpet tiles to cover the area of his living room floor, considering each tile is 2020 inches wide by 2020 inches long.

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Answer: x =-2/9

Explanation:

The expression we have is:

Step 1. Multiply both sides by 5/2

this is so that in the left side 5/2 x 2/5 would cancel each other:

Step 2: Solve the multiplication in the right side

As we can see we are left with an expression that can be solved for x.

Step 3: Move all of the terms that contain x to the left side, and all of the numbers to the right side:

Step 4: Combine like terms

Step 5: Divide both sides by -9:

Answer: x =-2/9

Answer:

option 2. -1 1/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 1/4x

Step 2: Evaluate