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Nine ears of sweetcorn will cost $2.25 at this store.

To determine the cost of nine ears of sweetcorn, given that four ears cost one dollar, you can follow these steps:

1. Determine the cost of one ear of sweetcorn: Since four ears cost one dollar, we can calculate the cost per ear by dividing the total cost by the number of ears: $1 / 4 ears = $0.25 per ear.

2. Calculate the cost of nine ears: Multiply the cost of one ear by the number of ears desired: $0.25 per ear × 9 ears = $2.25.

So, nine ears of sweetcorn will cost $2.25 at this store.

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Answer:

24

Step-by-step explanation:

12/2=6

6*4=24

Answer:

Beth will use 24 grapes.

Step-by-step explanation:

Not going to lie I forgot how i got my answer but ik its good.

Phil is * years old and Bob is also 8. Hope this helps. :) :) :)

Step-by-step explanation:

8+8+6=22

or

22-8-6=8

Answer:

iwiwkkskskhsdvhsishvsuavuiisvys

Answer:

Step-by-step explanation:

I'm assuming that the triangle legs are the same length. if that's the case, set 10 equal to the triangle are formula.

A = 1/2 * b * h

10 = 1/2 * 2b (since both legs are same length assuming)

20 = 2b

b = 10 square units

Hope this helps

Answer:

turyufhgjgjkbx

Step-by-step explanation:

fxv⁴% dgfht56%%475&48

The dimensions of the closed right circular cylinder with the smallest surface area and a volume of 1024 cm can be determined by finding the radius and height that minimize the surface area.

To find the dimensions of the cylinder with the smallest surface area, we need to minimize the surface area function while keeping the volume fixed at 1024 cm. The surface area of a closed right circular cylinder is given by the formula A = 2πr² + 2πrh, where r is the radius and h is the height.

To minimize the surface area, we can use calculus. By taking the derivative of the surface area function with respect to either the radius or the height, setting it equal to zero, and solving for the variables, we can find the critical points.

Differentiating the surface area function with respect to the radius, we get dA/dr = 4πr + 2πh. Setting this derivative equal to zero, we find that h = -2r. However, since the height cannot be negative, we discard this solution.

Next, differentiating the surface area function with respect to the height, we get dA/dh = 2πr. Setting this derivative equal to zero, we find that r = 0. Therefore, the only critical point is when r = 0, which means the cylinder has no radius and no surface area.

Since a cylinder without a radius is not possible, we conclude that there is no cylinder with the smallest surface area and a volume of 1024 cm. It is important to note that the surface area can be arbitrarily small as the height approaches infinity, but it cannot be minimized for a fixed volume.

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 ∮C (13 + 5sinθ) dθ = 26πi, b) ∫L|e^z - e^-z|^2 dz = 4πi.

Let's rewrite the integral in terms of z:

∮C (13 + 5sinθ) dθ = ∮C (13 + 5sin(arctan(Im(z)/Re(z)))) (iz) dz

                    = ∮C (13 + 5Im(z)/|z|) (iz) dz

                    = 13∮C iz dz + 5∮C iz(Im(z)/|z|) dz

Now, let's evaluate each term separately:

Since iz is a simple pole at z = 0, the residue of iz at z = 0 is simply the coefficient of the (z - 0) term in its Laurent series, which is 1. Therefore,

13∮C iz dz = 13 * 2πi * 1 = 26πi

To evaluate this integral, we need to find the residue of iz(Im(z)/|z|) at z = 0. We can do this by expanding iz(Im(z)/|z|) in its Laurent series around z = 0. Let's write z = re^(iθ) and consider the limit as z approaches 0:

iz(Im(z)/|z|) = iz(rsinθ/r) = izsinθ

As z approaches 0, sinθ also approaches 0, so the residue is 0.

Therefore, 5∮C iz(Im(z)/|z|) dz = 5 * 0 = 0

Finally, we have:

∮C (13 + 5sinθ) dθ = 26πi + 0 = 26πi

Let's rewrite the integral using the definition of absolute value:

∫L |e^z - e^-z|^2 dz = ∫L (e^z - e^-z)(e^z - e^-z) dz

                     = ∫L (e^2z - 2 + e^-2z) dz

To find the residue in the upper half-plane, we need to consider the poles of the integrand that lie in the upper half-plane. The only singularity of e^2z - 2 + e^-2z in the upper half-plane is at z = iπ/2.

To find the residue at z = iπ/2, we can calculate the limit as z approaches iπ/2:

lim(z→iπ/2) (z - iπ/2)(e^2z - 2 + e^-2z)

Let's define a new variable w = z - iπ/2. Then the limit becomes:

lim(w→0) (w + iπ/2)(e^2(w + iπ/2) - 2 + e^-2(w + iπ/2))

         = lim(w→0) (w + iπ/2)(e^2w * e^iπ - 2 + e^-2w * e^-iπ)

Since e^iπ = -

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To estimate the regression in the given model Yi = B0 + B1Xi + B2Ziui, where the variance of Ui is Σi^2 = Σ(zi^2), you can use the method of weighted least squares (WLS). The weights for each observation can be determined by the inverse of the variance of Ui, that is, wi = 1/zi^2.

In the given model, Yi = B0 + B1Xi + B2Ziui, the error term Ui is assumed to have a constant variance, given by Σi^2 = Σ(zi^2), where zi represents the individual values of Z.

To estimate the regression coefficients B0, B1, and B2, you can use the weighted least squares (WLS) method. WLS is an extension of the ordinary least squares (OLS) method that accounts for heteroscedasticity in the error term.

In WLS, you assign weights to each observation based on the inverse of its variance. In this case, the weight for each observation i would be wi = 1/zi^2, where zi^2 represents the variance of Ui for that particular observation.

By assigning higher weights to observations with smaller variance, WLS gives more importance to those observations that are more precise and have smaller errors. This weighting scheme helps in obtaining more efficient and unbiased estimates of the regression coefficients.

Once you have calculated the weights for each observation, you can use the WLS method to estimate the regression coefficients B0, B1, and B2 by minimizing the weighted sum of squared residuals. This involves finding the values of B0, B1, and B2 that minimize the expression Σ[wi * (Yi - B0 - B1Xi - B2Ziui)^2].

By using the weights derived from the inverse of the variance of Ui, WLS allows you to estimate the regression in the presence of heteroscedasticity, leading to more accurate and robust results.

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Each outcome represents the result of two spins, with the first element indicating the outcome of the first spin and the second element indicating the outcome of the second spin in the sample space.

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is spinning a spinner twice with two equally sized sections labeled "stop" and "go."

The possible outcomes of the first spin are "stop" (s) and "go" (g). Similarly, the possible outcomes of the second spin are also "stop" and "go."

Therefore, the sample space can be represented by all possible combinations of the first and second spin outcomes, which gives us the following four outcomes:

(s,s): the spinner stops on "stop" twice

(s,g): the spinner stops on "stop" on the first spin and on "go" on the second spin

(g,s): the spinner stops on "go" on the first spin and on "stop" on the second spin

(g,g): the spinner stops on "go" twice

Hence, the sample space for spinning a spinner twice with two equally sized sections labeled "stop" and "go" is given by the set: {(s,s), (s,g), (g,s), (g,g)}.

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Answer:

the y is 4

and the x is -8

(x,y)

(8,4-)

Answer:

1. 10 rainy days

2. 24 points

3. 4 cups

Explanation:

Divide thirty by three to get ten rainy days.

Divide 15 by 90, then multiply the product by four to get 24 points.

divide the volume value by 8.

Answer:

B.

at most 199 miles

Step-by-step explanation:

To find how many miles Emily drove, we need to use the equation

Total cost = flat fee + miles driven * cost per mile

Substituting in the numbers

121 ≥ 21.50 + m * .5

121≥ 21.50 +.50m

Subtract 21.50 from each side.

99.50 ≥ .5m

Divide each side by .5

199 ≥m

Emily drove less than or equal to 199 miles

It takes 53 years until we run out of gas.

Given,

Reserves of natural gas = 6500 TCF

Consumption per year = 123 TCF

Therefore,

years left ( x )= Reserves of natural gas / Consumption per year  

                     = 6500/123

                     = 52.8 years

                  x = 53 years approximately

So, it takes 53 years until we run out of gas at this rate of consumption.

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Answer:

14

Step-by-step explanation:

The angles add to form a straight angle, so

\(7x-1+6x-1=180 \\ \\ 13x-2=180 \\ \\ 13x=182 \\ \\ x=14\)

The greatest number of baskets that can be made with 24 movies, 48 packages of popcorn, and 18 boxes of candy is 6.

This is determined by finding the greatest common factor (GCF) of each item. The GCF of 24, 48, and 18 is 6. This means that 6 is the greatest number of baskets that can be made if each basket has an equal number of each of the three items.

To calculate the GCF, the prime factors of each number must be determined. The prime factors of 24 are 2 and 3 (2 x 2 x 2 x 3). The prime factors of 48 are 2 and 3 (2 x 2 x 2 x 2 x 3). The prime factors of 18 are 2 and 3 (2 x 3 x 3).

To determine the GCF, the highest power of each prime factor must be determined. In this case, the highest power of each prime factor is 3 (2 x 2 x 2 x 3). Therefore, the GCF of 24, 48, and 18 is 6. This means that the greatest number of baskets that can be made with the given items is 6.

In conclusion, the greatest number of baskets that can be made with 24 movies, 48 packages of popcorn, and 18 boxes of candy is 6. This is determined by finding the greatest common factor (GCF) of each item. The GCF of 24, 48, and 18 is 6, which means that 6 is the greatest number of baskets that can be made if each basket has an equal number of each of the three items.

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Since the null hypothesis was rejected, we can conclude that there is enough evidence to suggest that the mean weight of adult German shepherd dogs is greater than 75 pounds.

However, we cannot conclusively state that the mean weight is exactly 75 pounds, only that it is likely greater than that value. The alternative hypothesis (Hi: μ > 75) supports this conclusion, indicating that the true mean weight is likely higher than the claimed value of 75 pounds.

It is important to note that further research and analysis may be necessary to determine a more precise estimate of the mean weight of adult German shepherds.

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Answer:

The area is 128.605\(meters^2\)

Step-by-step explanation:

The formula for the area of a triangle is :\(\frac{base*height}{2}\)

To work this out you would first have to divide the shape into 4 smaller triangles.

Then we are going to first calculate the area of on the bottom triangles. To do this we would multiply the base of 8.5 and the height of 10.2, this gives you 86.7\(meters^{2}\). Although you would normally divide the answer by 2, as there are 2 identical triangles that is not necessary.

Now that we know the area of the bottom triangles we can now work out the top triangles. You can do this by multiplying the base op 8.5 by the height of 4.93, this gives you  41.905\(meters^2\).

To work out the total area of this shape you would simply add the areas of 86.7 and 41.905, this would gives you \(128.605meters^2\). This is because we first broke the shape down so you could work out the area of each individual area, however to work out the total all the areas must be added up.

1) Divide the shape into 4 smaller triangles.

2) Multiply 8.5 by 10.2.

\(8.5*10.2=86.7meters^2\)

3) Multiply 8.5 by 4.93.

\(8.5*4.94=41.905meters^2\\\)

4) Add 86.7 and 41.905.

\(86.7+41.905=128.605meters^2\)

The best of the given data is that of January in which the expenses almost equal the earnings. f(x)= g(x)

Imports means buying and bringing in the purchases from the outside or another country.

When imports increase , expenses increase.

Exports means selling and sending out the goods to an another country.

When exports increase , earnings or profit increases.

Now looking at the data

January: the number of imports is equal to the number of exports, which means the amount spent is equal to the amount earned or almost the same.

f(x)= g(x)

February : the number of imports is greater than the number of exports,

6 > 4 which means the amount spent is greater to the amount earned.

f(x)> g(x)

March: the number of imports is greater than twice the number of exports,

9 > 5 which means the amount spent is greater than twice to the amount earned.

f(x)> g(x)

April: the number of imports is  twice greater the number of exports,

12 > 6 which means the amount spent is  twice greater than the amount earned.

f(x)= 2g(x)

So the best of the given data is that of January in which the expenses almost equal the earnings.

f(x)= g(x)

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The volume of the large emerald is 294.22 cubic centimeters.

The density of any given substance or an object is defined as the ratio of its mass to its volume. This can be expressed as:

Density = Mass/ Volume

Considering the parameters given in the question, we have;

mass = 812.04 grams, density = 2.76 grams/ cubic centimeters

Thus,

density = mass/ volume

So that;

volume = mass/ density

            = 812.04/ 2.76

            = 294.22

volume = 294.22 cubic centimeters

The volume of the large emerald is 294.22 cubic centimeters.

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Answer:

\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)

Answer:

-0.5

Step-by-step explanation:

I don't have explanation.

Answer:

- 12.5

Step-by-step explanation:

Inverse operations:

For example,

the inverse operation for subtraction would be addition.

4.5 - (- 8)

Subtract 4.5 from both sides, and get your answer of

z = -12.5

Hope this Helps!

-kiniwih426

The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

The sequence is given as:

0, 2, 4, 6, 8

In the above sequence, we can see that each current term is 2 added to the previous term

i.e.

Tn = 2 + Tn-1

Using the above conjecture, we have

Next term = 8 + 2

Evaluate

Next term = 10

Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

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Answer:

\(Slope=1.\)

Step-by-step explanation:

\(Calculate \: the \: slope \: m \: using \: the \\ \: slope \: formula \: \)

\(m = \frac{y2 - y1}{x2 - x1} \)

\(with(x^1,y^1)=(-2,-5)and(x^2,y^2)=(-3,-6)\)

\(m = \frac{ - 6 - ( - 5)}{ - 3 - ( - 2)} = \frac{ -6 + 5}{ - 3 + 2} = \frac{ - 1}{ - 1} = 1.\)

\(Thank \: you!!!\)

Answer:

3

Step-by-step explanation:

3 times 6 is 18. Subtract 15 from 18 and you get 3.

3 * 6 = 18 - 15 = 3.

I hope that helps.

Answer:

Step-by-step explanation:

-3x - 3(15x - 17) = 3

-3x - 45x + 51 = 3

-48x + 51 = 3

-48x = -48

x = 1

Answer:

Formula for gradient is given as (y2-y1)÷(x2-x1) or (y1-y2)÷(x1-x2), where x and y are the coordinates of the points.

(k-4)÷(0-1) = 9

k-4 = 9(0-1)

k-4 = -9

k = -5

The imaginary cardinal plane that bisects the body into the right and left halves is the sagittal plane.

The sagittal plane is a vertical plane that divides the body into left and right halves. It runs parallel to the midline of the body, from front to back. The term "sagittal" comes from the Latin word "sagitta," meaning arrow, referring to the shape of an arrow cutting through the body.

The frontal plane, also known as the coronal plane, divides the body into front (anterior) and back (posterior) halves. It is perpendicular to the sagittal plane and runs from side to side, dividing the body into front and back sections.

The transverse plane, also called the horizontal plane or axial plane, divides the body into upper (superior) and lower (inferior) halves. It is perpendicular to both the sagittal and frontal planes and runs horizontally, dividing the body into top and bottom portions.

Therefore, of the given options, the sagittal plane is the imaginary cardinal plane that bisects the body into the right and left halves.

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The total cost for Roy and his two friends at the game center is $20.97. To represent total cost for Roy and his two friends at the game center, we need to consider cost of hotdogs, fries, drinks, and the coupon.

By calculating the cost for each item and applying the coupon, we can determine the expression for the total cost.

To find the expression for the total cost and calculate the actual total cost, follow these steps:

Identify the cost of each item: hotdog ($3), fries ($2.49), and drink ($2.50).

Recognize that each person buys one hotdog, one order of fries, and one drink.

Calculate the cost for each person without considering the coupon: $3 + $2.49 + $2.50 = $7.99.

Subtract $1 (the coupon amount) from each person's cost for the drink: $7.99 - $1 = $6.99.

Multiply the cost per person ($6.99) by the total number of people (3) to obtain the expression for the total cost: 3 * $6.99 = $20.97.

Therefore, the expression to represent the total cost is $20.97.

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f(x): Domain=(-∞, ∞), Range=(-∞, ∞)

g(x): Domain=[12, ∞), Range=[0, ∞)

f+g: Domain=[12, ∞), Range=(-∞, ∞)

f⋅g: Domain=[12, ∞), Range=[0, ∞)

To find the domains and ranges of the given functions f(x) and g(x), as well as their sum (f+g) and product (f⋅g), let's analyze each function:

f(x) = x

g(x) = √x - 12

f+g (sum of f(x) and g(x)):

f⋅g (product of f(x) and g(x)):

The domains and ranges of the given functions are as follows:

f(x): Domain = (-∞, ∞), Range = (-∞, ∞)

g(x): Domain = [12, ∞), Range = [0, ∞)

f+g: Domain = [12, ∞), Range = (-∞, ∞)

f⋅g: Domain = [12, ∞), Range = [0, ∞)

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Answer:

Not a function

Step-by-step explanation:

The graph does not pass the line test.