Nikki used the calculations shown to determine whether a carton of 12 eggs or a carton of 18 eggs was the better buy.

A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39.
Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg
Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg
The 12-egg carton has the lower unit cost, so it is the better buy.

What was her first error?
She should have divided the

Answer:

1512 cm^3

Step-by-step explanation:

the small ones dimentions are 9 by 3 by 7

if you double that then it is 18 by 6 by 14

to figure out the volume you have to multiply all the numbers together

and you get 1512 cm^3

From this expression, we can see that the approximation D(h) converges to the true value f'(x) with an error term of O(h^2). Therefore, the order of convergence for the given formula as h approaches 0 is 2.

To find the order of convergence as h approaches 0 for the given formula, we need to examine how the error term behaves as h gets smaller.

Let's denote the approximation of f'(x) using the given formula as D(h). The true value of f'(x) is denoted as f'(x).

Using Taylor's expansion, we can write:

\(f(x + h) = f(x) + hf'(x) + h^2/2 f''(x) + h^3/6 f'''(x) + ...\\f(x - h) = f(x) - hf'(x) + h^2/2 f''(x) - h^3/6 f'''(x) + ...\\f(x + 2h) = f(x) + 2hf'(x) + 4h^2/2 f''(x) + 8h^3/6 f'''(x) + ...\\f(x - 2h) = f(x) - 2hf'(x) + 4h^2/2 f''(x) - 8h^3/6 f'''(x) + ...\)

Substituting these expressions into the given formula, we have:

\(D(h) = [-f(x + 2h) + 8f(x + h) - 8f(x - h) + f(x - 2h)] / (12h)\\= [-f(x) - 2hf'(x) - 4h^2/2 f''(x) - 8h^3/6 f'''(x) + 8f(x) + 8hf'(x) - 8hf'(x) + 8h^2/2 f''(x) - 4h^2/2 f''(x) + 4hf'(x) + f(x) + 2hf'(x) + 4h^2/2 f''(x) + 8h^3/6 f'''(x)] / (12h)\)

Simplifying the expression, we have:

D(h) = f'(x) + O\((h^2\))

where O(\(h^2\)) represents the error term that is proportional to \(h^2.\)

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The calculated value of the height of figure 1 is (d) 4 units

from the question, we have the following parameters that can be used in our computation:

The figures

The figure 1 is similar to figure 2

So, we have

4x/(x + 1) = 2x/x

When evaluated, we have

4x = 2x + 2

So, we have

2x = 2

Evaluate

x = 1

This means that

Height = 4 * 1

Evaluate

Height = 4

Hence, the height of figure 1 is 4 units

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Answer:

8:21

Step-by-step explanation:

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

450 miles

Explanation

Step 1

Let

Step 2

how many times the distnce (E-M) is the distance(E-S)

so, the distance is

I hope this helps you

The solutions to the equation x²-12x+36=13 are x = 6 + √13 and x = 6 - √13.

To solve x²-12x+36=13 by completing the square, we want to rewrite the left-hand side of the equation as a perfect square trinomial of the form (x - h)² + k, where h and k are constants.

First, we move the constant term to the right-hand side of the equation:

x² - 12x + 36 - 13 = 0

Simplifying, we get:

x² - 12x + 23 = 0

To complete the square, we need to add and subtract the square of half of the coefficient of x:

x² - 12x + (12/2)² - (12/2)² + 23 = 0

Simplifying, we get:

(x - 6)² - 13 = 0

Now we can add 13 to both sides of the equation:

(x - 6)² = 13

Finally, we can take the square root of both sides and solve for x:

x - 6 = ±√13

Adding 6 to both sides, we get:

x = 6 ± √13

Therefore, the solutions to the equation x²-12x+36=13 are x = 6 + √13 and x = 6 - √13.

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Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.

The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.

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The candy store will use 103 grams of sugar in 10 hours.

To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).

To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.

We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.

So the calculation would be:

10.3 grams/hour x 10 hours = 103 grams

Therefore, the candy store will use 103 grams of sugar in 10 hours.

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Answer:

500 milliliters

Step-by-step explanation:

Dylan has 0.5 liters of water. He needs to find out how many milliliters of water he has so he can complete his science experiment. How many milliliters (mL) of water does Dylan have

1 liter of water = 1000 milliliters of water

0.5 liters of water = x

Cross Multiply

x = 0.5 × 1000 milliliters of water

x = 500 milliliters of water

Therefore, Dylan has 500 milliliters of water

Answer:

answer

Step-by-step explanation:

Answer:

500 milliliters

Step-by-step explanation:

Dylan has 0.5 liters of water. He needs to find out how many milliliters of water he has so he can complete his science experiment. How many milliliters (mL) of water does Dylan have

1 liter of water = 1000 milliliters of water

0.5 liters of water = x

Cross Multiply

x = 0.5 × 1000 milliliters of water

x = 500 milliliters of water

Therefore, Dylan has 500 milliliters of water

To write the equation of a circle in standard form, we need to complete the square for both the x and y terms and group the constants on one side.

First, we can rewrite the given equation as:
x^2 - 20x + y^2 = -50
Next, we will complete the square for x by adding (20/2)^2 = 100 to both sides:
x^2 - 20x + 100 + y^2 = 50 + 100
Simplifying the right-hand side, we get:
x^2 - 20x + 100 + y^2 = 150
We can also complete the square for y by adding (0.5)^2 = 0.25 to both sides:
x^2 - 20x + 100 + y^2 + 0.25 = 150 + 0.25
Simplifying again, we get:
(x - 10)^2 + y^2 = 150.25
This is now in standard form, which is:
(x - h)^2 + (y - k)^2 = r^2
where (h,k) is the center of the circle and r is the radius.
In this case, the center is (10,0) and the radius is sqrt(150.25).

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The number which is absent in the first 31 digits of pi = 0

We know that a number pi is nothing but the ratio of the circumference of a circle to its diameter.

It is represented by a symbol 'π'

pi is an irrational number. This means that it is not equal to the ratio of any two whole numbers.

Its digits do not repeat.

An approximation 3.14 or 22/7 is often used for everyday calculations.

To 31 decimal places, the value of pi is 3.1415926535897932384626433832795

The numbers present in the first 31 digits of pi are:

1, 2, 3, 4, 5, 6, 7, 8, 9

Only '0' is not present.

Therefore, the number which is absent in the first 31 digits of pi = 0

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Answer:8.192x10^7

Step-by-step explanation:

Answer:

81,920,000

Step-by-step explanation:

20000(4096)

81920000

Hopes this helps please mark brainliest

Answer:

312

Step-by-step explanation:

499-187

Answer: Tim needs to save $312 more.

Step-by-step explanation: To find the answer, subtract. $499 minus $187 equals $312. Hope this helps! :>

Answer:

30% of 74.95 = .3 * 74.95 = 22.48

Net Cost = 74.95 - 22 48 = 52.47

In the Subgame Perfect Equilibrium of a Stackelberg model, firm 1 chooses a number, and firm 2 chooses a function. Therefore, option (d) is the correct answer.

The Subgame Perfect Equilibrium (SPE) is a solution concept in game theory that analyzes strategic decision-making in sequential games. In a Stackelberg model, firm 1 acts as the leader and sets its output level first, followed by firm 2 as the follower, who observes firm 1's output before making its decision.

In the Subgame Perfect Equilibrium of this model, firm 1 chooses a number (output level) while firm 2 chooses a function (strategy). This implies that firm 1's decision is made independently as a quantity, and firm 2, observing firm 1's choice, formulates its strategy based on that information.

Therefore, option (d) is the correct answer: Firm 1 chooses a number, and firm 2 chooses a function in the Subgame Perfect Equilibrium of a Stackelberg model.

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Note: I am assuming you meant to write the value of y = 12 instead of w = 12.

So, I am assuming y = 12

Answer:

The value of 13 - 0.75y + 8x when we substitute y = 12 and x = 1/2 will be: 8

Step-by-step explanation:

Given the expression

\(13\:-\:0.75y\:+\:8x\)

Given

substituting y = 12 and x = 1/2 in the expresion

\(13\:-\:0.75y\:+\:8x=13\:-\:0.75\left(12\right)\:+\:8\left(\frac{1}{2}\right)\)

                            \(=13-0.75\cdot \:12+8\cdot \frac{1}{2}\)

                             \(=13-9+4\)

                             \(=8\)

Therefore, the value of 13 - 0.75y + 8x when we substitute y = 12 and x = 1/2 will be: 8

By Pythagorean theorem we find that the length of the hypotenuse is \(r = \sqrt{2}\cdot l\).

In the image attached we have a right triangle with two legs of same length. The hypotenuse of right triangles can be found by Pythagorean theorem, whose form is:

\(r = \sqrt{l^{2}+l^{2}}\)

\(r = \sqrt{2}\cdot l\), where l is the length of the legs.

By Pythagorean theorem we find that the length of the hypotenuse is \(r = \sqrt{2}\cdot l\).

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Answer:

i think the answer is 738

Answer:

No, because the expression s/4 - 16. In the word formed she times 4 and the letter, she should have to dived it.

Step-by-step explanation:

No, because the expression s/4 - 16. In the word formed she times 4 and the letter, she should have to dived it.

Answer:

No, Jerome’s scenario does not match the expression. The term s

4

means the number of songs is divided by four, but the scenario uses the word ‘times,’ which means multiplication. The scenario should say ‘16 fewer than one-fourth the number of songs.

Connect the points where the first arc crosses the triangle's base and the second arc intersects the base of the triangle with the straightedge to create the triangle's third side, BC.

Generally, To accurately construct triangle ABC, you will need a straightedge (such as a ruler) and a protractor. Here are the steps to follow:

Use the straightedge to draw a straight line segment of length 8 cm, which will represent side AB. This line segment will be the base of the triangle.

Place the point of the protractor at one end of the line segment and draw an arc that intersects the other end of the line segment.

Measure the angle formed by the line segment and the arc using the protractor. The measure of this angle should be 70 degrees.

Without changing the position of the protractor, draw another arc that intersects the first arc and the base of the triangle.

Use the straightedge to connect the point where the second arc intersects the base of the triangle to the point where the first arc intersects the base of the triangle. This will form the third side of the triangle, AC.

Finally, use the straightedge to draw the third side of the triangle, BC, by connecting the point where the first arc intersects the base of the triangle to the point where the second arc intersects the base of the triangle.

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The approximate probability that all four seniors will be chosen at random is 0.48%.

To calculate the approximate probability that all four seniors will be chosen at random out of four seniors and six juniors competing for four places on a quiz bowl team, we need to consider the total number of ways to choose four students out of the ten, as well as the specific number of ways to choose all four seniors.

The total number of ways to choose four students out of the ten is given by the combination formula:

C(n, r) = n! / (r!(n - r)!)

Where n is the total number of students (10 in this case) and r is the number of students to be chosen (4 in this case).

So, the total number of ways to choose four students out of ten is:

C(10, 4) = 10! / (4!(10 - 4)!) = 210

Now, we need to determine the number of ways to choose all four seniors out of the four available senior spots. Since we are choosing all four seniors, there is only one way to do so.

Therefore, the probability of choosing all four seniors is:

Probability = (Number of ways to choose all four seniors) / (Total number of ways to choose four students)

Probability = 1 / 210

Approximately, the probability is 0.0048 or 0.48%.

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Answer:

Step-by-step explanation:

Let's simplify step-by-step.

3(w+5)−7w

Distribute:

=(3)(w)+(3)(5)+−7w

=3w+15+−7w

Combine Like Terms:

=3w+15+−7w

=(3w+−7w)+(15)

=−4w+15

Answer:

=−4w+15

Your welcome

The measures of KM, KQ, LK, LR, NK and PM are 2, 2, 4, 4, 6 and 2 respectively.

1) KM: Since N is the midpoint of QR, we know that QN = NR, so QN + NR = QN + QN = 2QN = 26 = 12. Therefore, KM = KR - QN = (PK+KQ) - QN = 4 - 6 = -2.

2) KQ: Since PK = 4 and KM = -2, we have KQ = PK + KM = 4 + (-2) = 2.

3) LK: The median of a triangle connects a vertex to the midpoint of the opposite side, and it's length is 2/3 the length of the hypotenuse of the right triangle formed by the median and the two segments from the vertex to the endpoints of the median.

In this case, LK = (2/3)(PQ) = (2/3)(4+2) = (2/3)*6 =4

4)LR: In this case, LR = LK = 4

5) NK: NK = QN = 6

6) PM: PM = PK - KQ = 4 - 2 = 2

Please note, that in order to be able to calculate all these lengths and measures, it is assumed that the triangle PQR is a valid triangle i.e, the sum of the lengths of any two sides of the triangle is greater than the length of the third side.

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Answer:

(a)4 units, 3 units

(b) Right-angled triangle

Step-by-step explanation:

We are given that

Let location of drinking  fountain, A =(-4,2)

Location of the bench, B=(0,2)

Location of the center of the slide ,C=(0,5)

a. Distance formula

\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Using the formula

\(AB=\sqrt{(0-(-4))^2+(2-2)^2}=4units\)

\(BC=\sqrt{(0-0)^2+(5-2)^2}\)

\(BC=\sqrt{3^2}=3\)units

Hence, the distance from the drinking fountain to the bench=4 units

The distance from the bench to the center of the slide=3 units

(b)

\(CA=\sqrt{(-4-0)^2+(2-5)^2}\)

\(CA=\sqrt{16+9}=5\)units

\(AB^2+BC^2=4^2+3^2=16+9\)

\(AB^2+BC^2=25\)

\(CA^2=5^2=25\)

\(AC^2=AB^2+BC^2\)

The triangle ABC satisfied the Pythagoras  theorem. Hence, the triangle ABC is a right angled triangle.

Answer:

(A) The distance from the drinking fountain to the bench is 4, and the distance from the bench to the center of the slide is 3 because if you add -4 and 0 you will get 4 and if you subtract 5 and 2 you will get 3.

(B) The type of triangle that is created is an right angle triangle because when you connect the 3 locations it creates an right angle triangle on the coordinate

Step-by-step explanation:

Answer:

\(A_f=470ft\)

\(P_f=88ft\)

Step-by-step explanation:

From the question we are told that:

Width of Portrait \(w=10inches\)

length of Portrait \(l=13inches\)

Frame each \(l_W=21/4inch each\)

Generally the equation for area of portrait A is mathematically given by

\(A=w*l\\A=10*13\\A=130m^2\)

Generally the equation for Perimeter of portrait is mathematically given by

\(P=2(w+l)\\P=2(10+13)\\P=46m\)

Generally the equation for area of portrait  with frame is mathematically given by

\(A=w_f*l_f\)

where

w_f=width of portrait with frame

\(w_f=2*21/4+w\\w_f=2*21/4+10\\w_f=20.5ft\)

l_f=Length of portrait with frame

\(l_f=2*21/4+l\\l_f=2*21/4+13\\l_f=23.5ft\)

Therefore Area of picture with frame

\(A_f=w_f*l_f\)

\(A_f=20.5*23.5\)

\(A_f=470ft\)

Generally the equation for Perimeter of portrait is mathematically given by

\(P_f=2(w_f+l_f)\\P_f=2(20.5+23.5)\\P_f=88ft\)

Answer:

Step-by-step explanation:

Do you have the selection of answers?