one of the ancient stone pyramids in egypt has a square base that measures 148 m on each side. the height is 126 m. what is the volume of the​ pyramid?

Answer:

I think it may be C? I used desmos to graph it but I'm not 100%

Answer:

Step-by-step explanation:

c. trust me im right

The total number of student that plotted the number of book they read is 18.

A dot blot the caption Book Read Over the Summer goes from 0 to 7. 0 ha 1 dot, 1 ha 3 dot, 2 ha 6, 3 ha 2, 4 ha 3, 5 ha 1 dot, 6 ha 2, and 7 ha 0 dot are the numbers. Using a dot plot

the total number of students who tracked how many books they read

add total dots  

1 dot + 3 dot +  6 dot +  2 dot + 3 dot +1 dot + 2 dot + 0 dot = 18.

The total number of student that plotted the number of book they read is 18.

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Answer:

12

Step-by-step explanation:

138÷12=11R6

11 + 1 =12

The interquartile range is 21.

Quartiles describe the division of given observations into four intervals. each section represents 25 % of the observation. The interquartile range is a measure of variability around the median and it is calculated using Quartiles.

1. We will arrange the data in increasing or decreasing order.

2. We will divide the given data into two halves.

3. Find the median of both halves(bottom half and top half).

4. Find the interquartile range.

Now, performing these steps on the data given.

Data: 11  28  5  50  30  27  21  24  52  42

Step 1:  Arranging in increasing order, we get

05  11  21  24  27  28  30  42  50  52

Step 2: Dividing into two halves.

Bottom half: 05  11  21  24  27

Top half:  28  30  42  50  52

Step 3: Find the median of both halves.

Median of the bottom half(Q1) = 21

Median of the top half(Q3) = 42

Step 4: Find the interquartile range

Range = Q3 - Q1 =  42-21

                           = 21

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The complete question is -

"Consider a sample of ages of 10 executives -  

11  28  5  50  30  27  21  24  52  42. Find interquartile range."

The number of squares of whole pita bread Min will have to cut up is;

21 squares of whole pita bread

A = ¹/₂ × 4 × 5.7

A = 11.4 cm²

Area for each guest = 3 × 11.4 = 33.2 cm²

Total area = 250 × 33.2

Total area of pita bread = 8300 cm²

Area of square = 20 × 20 = 400 cm²

⇒ 20.75 ≈ 21 squares of whole pita bread

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Answer: Look at it this way, you are adding 4.2, .5 times. So if you find what 1.5 is of 4.2 you then add that to 4.2. The 1 stands for how many times the number is being multiplied by. So in this case the number is only being multiplied once. Then we move onto the decimal point which says that the number is being multiplied by .5 times. This means that 2.1 (which is half of 4.2) is being added onto 4.2. Hope this makes sense. I always use a calculator for multiplying so its hard to put the process into words haha.

Step-by-step explanation:

Function 1 is a quadratic function, function 2 is a linear function with a scaling constant, and function 3 is a cubic function with a scaling constant.

To find three functions with zeros at x = -2 and x = 6, we can use the fact that a linear function in the form of f(x) = a(x - c) has a zero at x = c.

Function 1:

f(x) = (x - (-2))(x - 6) = (x + 2)(x - 6)

Function 2:

g(x) = k(x - (-2))(x - 6)

= k(x + 2)(x - 6), where k is any non-zero constant

Function 3:

h(x) = m(x - (-2))²(x - 6)

= m(x + 2)²(x - 6), where m is any non-zero constant

These three functions all have zeros at x = -2 and x = 6.

We may utilise the knowledge that a linear function of the form f(x) = a(x - c) has a zero at x = c to identify three functions with zeros at x = -2 and x = 6.

Function number one is f(x) = (x - (-2))(x - 6) = (x + 2)(x - 6)

Function 2: where k is any non-zero constant, g(x) = k(x - (-2))(x - 6) = k(x + 2)(x - 6

Function 3 is h(x) = m(x-(-2)).m is any non-zero constant and 2(x - 6) = m(x + 2)2(x - 6)

The zeros for each of these three functions are at x = -2 and x = 6.

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Answer:

240

Step-by-step explanation:

Answer:

It's the first one

Step-by-step explanation:

Using the backwards pricing method, the labor cost for a garment with an MSRP of $225 would be $27.


The backwards pricing method is used to determine the cost of each element that goes into the production of a product by working backward from the final selling price. The steps involved in this method are:

1. Start with the MSRP: $225
2. Determine the retail markup percentage, which is typically around 50%. Subtract this percentage from the MSRP to find the wholesale price: $225 * (1 - 0.5) = $112.50
3. Determine the wholesale markup percentage, which is typically around 30%. Subtract this percentage from the wholesale price to find the cost of goods sold (COGS): $112.50 * (1 - 0.3) = $78.75
4. Now, we have to distribute the COGS among the various components that go into the production of the garment, such as materials, labor, and overhead. Assuming labor constitutes 35% of the COGS, calculate the labor cost: $78.75 * 0.35 = $27.56, which can be rounded down to $27.


Using the backwards pricing method, the labor cost for a garment with an MSRP of $225 would be approximately $27.

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Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

6.6%

Step-by-step explanation:

At x=0, we can say that the series ∑\(Cn(X - 3)^n\) converges, as the given condition for convergence is satisfied at x=7, x=10, and x=0 is between the two values.  

At x=11, we can say that the series ∑\(Cn(X - 3)^n\) converges, as the given condition for convergence is satisfied at x=7 and x=11 is between the two values. At x=5, we can say that the series ∑\(Cn(X - 3)^n\) diverges, as the given condition for convergence is not satisfied at x=5.

The theory behind the question is the idea of a power series, which is an infinite series of terms where each term is a power of a variable raised to a constant. In this case, we have a series of the form:

\(Cn(X - 3)^n\)

here Cn is a constant. The question is asking about the behavior of this series as a function of the variable x, specifically whether it converges or diverges. The condition for convergence of a power series is that the absolute value of the coefficients (i.e., the absolute value of Cn) must be less than or equal to 1 for all values of x in the interval where the series is defined. If this condition is satisfied, then the series converges.

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Answer:

Reflect the graph across the x-axis from the positive Quadrant of x-axis to the negative quadrant of x-axis while maintaining the coordinates.

The answer is x = 4

y = -1

z = -3

3x+2y+z=7

5x+5y+4z=3

3x+2y+3z=1

________

Let's take the first and the third equation, multiply the first one by (-1) and sum them up:

3x+2y+z=7

3x+2y+3z=1

____

-3x-2y-z=-7

3x+2y+3z=1

____

2z = -6

z = -6/2

z = -3

Substitute z in all equations:

3x+2y+z=7

5x+5y+4z=3

3x+2y+3z=1

______

3x + 2y - 3 = 7

5x + 5y - 12 = 3

3x + 2y - 9 = 1

______

3x + 2y = 10

5x + 5y = 15

3x + 2y = 10

The first and the third equations are the same, so one can be excluded:

3x + 2y = 10

5x + 5y = 15

Multiply the first equation by -5 and the second equation by 2 and sum them up:

-15x - 10y = -50

10x + 10y = 30

_________

-5x = -20

x = -20/-5

x = 4

Substitute x:

3x + 2y = 10

12 + 2y = 10

2y = 10 - 12

2y = -2

y = -2/2

y = -1

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To determine the minimum sample size needed to estimate the mean number of hours worked per week by college graduates employed full-time, while ensuring that our estimate is within a certain margin of error.

We can use the formula for sample size calculation.

The formula is:
\(n = (Z * σ / E) ^ 2\)

Where:
n = minimum sample size needed
Z = Z-score corresponding to the desired confidence level (e.g., for 95% confidence level, Z ≈ 1.96)
σ = standard deviation of the population (given as hours per week)
E = maximum margin of error (given as hours per week)

Plugging in the given values, let's say we want the estimate to be within 2 hours per week:

\(n = (1.96 * σ/ 2) ^ 2\)
Since the standard deviation (σ) is not given in the question, we cannot calculate the exact sample size.

However, once the value of σ is known, you can substitute it into the equation to find the minimum sample size needed for your desired margin of error.

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Hello!

First, let's write the possible options:

Dice: 6 different results.

• 1, 2, , 4, 5, 6.

Spinner: 4 different results.

• A, B, C, D.

Knowing it, let's solve each alternative of your exercise:

In the dic, we have 6 possible results and we want a specific number. SOo, we can write it as 1/6.

In the spinner, we have 4 possible results and we want a specific one too. So, we have 1/4.

Now, remember he r"and" rule: when we consider two events happening simultaneously, we must multiply their probabilities.

Solving:

We'll solve it in a similar way.

We have three possible odd numbers (1, 3, 5) in a total of 6 options. So, 3/6 = 1/2.

For the spinner, the reasoning will be the same: 1/.

Let's calculate:

In a dice, we have four numbers less than 5: 1, 2, 3,4.

In the spinner, there are 3 consonants (B, C, D).

Let's calculate:

Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

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The inverse of matrix [A] using the cofactor minor method is [3/2  -3  -3/2] [-1  1  1] [-1/2  1/2  1/2].

Given the equation as: x + 4y − z = 4 ........(i) x + 3y + z = 8 ........(ii) 2x + 6y + z = 13 .......(iii)The above equations can be written in matrix form as: [1  4  −1 | 4] [1  3   1 | 8] [2  6   1 | 13]To find the inverse of [A], we use the following formula:[A]−1=1det([A])×[adj([A])]where det(A) is the determinant of matrix A, and adj(A) is the adjugate of A.To find the inverse matrix of [A] using the cofactor minor method, follow these steps: Calculate the determinant of [A].Find the matrix of cofactors of [A].Find the transpose of the matrix of cofactors. Divide each element of the transpose of the matrix of cofactors by the determinant of [A] to obtain the inverse of [A].

Now let's solve for the above equation using the cofactor minor method,Step 1:We know that det([A]) = |A| = a11|A11| − a12|A12| + a13|A13|Here a11=1, a12=4, a13=-1Therefore, det([A]) = 1(3-6) - 4(1-2) - 1(4-1) = -3 + 8 - 3 = 2Step 2:Let's calculate the matrix of cofactors of [A] as:Cofactor (A11) = 3Cofactor (A12) = -2Cofactor (A13) = -1Cofactor (A21) = -6Cofactor (A22) = 2Cofactor (A23) = 1Cofactor (A31) = -3Cofactor (A32) = 2Cofactor (A33) = 1Therefore, the matrix of cofactors of [A] is:[3  -2  -1] [-6  2  1] [-3  2  1]Step 3:Let's find the transpose of the matrix of cofactors as:[3  -6  -3] [-2  2  2] [-1  1  1]Step 4:Now, divide each element of the transpose of the matrix of cofactors by the determinant of [A] to obtain the inverse of [A].Therefore, [A]−1=1det([A])×[adj([A])] = 1/2×[3  -6  -3] [-2  2  2] [-1  1  1]Hence, the inverse of matrix [A] using the cofactor minor method is [3/2  -3  -3/2] [-1  1  1] [-1/2  1/2  1/2].

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1. True: If Spain has an absolute productivity advantage in producing shoes, then it will have a lower opportunity cost for producing shoes than the rest of the world, allowing them to sell them at a lower price, which would encourage exporting.

2. True: The Ricardian Model explains how nations can gain by specializing in the production of goods that they are relatively more efficient in producing and then trading. It can be used to explain how workers in the same sector can be differently affected due to international trade. 3. Uncertain: The extent to which a specific or mobile factor of production benefits from trade (or trade liberalization) depends on several factors, and cannot be generalized.

4. False: Suppose that Home has a relative abundance of L compared with Foreign, then it means that K is scarce relative to L in Home. Thus, K owners in Home will benefit from free trade policies as it will lead to an increase in the demand for K.

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Answer:

82

Step-by-step explanation:

Answer: 9.95

Step-by-step explanation:

in similar trapezoids a rearranged formula can be used to solve for the missing base:

\(c^{2} =ab\)  ⇒ \(c=\sqrt{ab}\)

a = the top of the trapezoid

b= the base of the trapezoid

c = the missing base

\(c=\sqrt{(9)(11)}\)

\(c = 9.949\)

By applying the knowledge that a triangle's total angles equal 180 degrees, we may get angle C. C = 180° - A - B, C ≈ 90°

A polygon with three sides and three vertices is called a triangle. By uniting the triangle's three sides end to end at one point, the angles are formed. The triangle's three angles add up to 180 degrees.

Right triangle ABC is depicted in the diagram, with AB = 5, AC = 12, and BC = 13.

This is a right triangle, which can be established using the Pythagorean theorem:

BC² = 13² = 169

AB²+AC²=5²+12²=169

As a result, the triangle is a right triangle and conforms to the Pythagorean theorem.

The trigonometric ratios can also be used to determine the triangle's angles' values. Starting with angle A

sin(A) = opposite/hypotenuse = AB/BC = 5/13

A = sin-1(5/13) ≈ 23.58°

Similarly, we can find angle B:

cos(B) = adjacent/hypotenuse = AB/BC = 5/13

B = cos-1(5/13) ≈ 66.42°

Lastly, we can use the fact that the sum of a triangle's angles is 180 degrees to determine angle C:

C = 180° - A - B

C ≈ 90°.

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Answer:

For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.

How many minutes can the liquid can stay in the cooler?

Select from the drop-down menus to correctly complete the statement.

The liquid can stay in the cooler fewer than 10.1 minutes.

Step-by-step explanation:

Answer:

B) 2,000.

Step-by-step explanation:

As the mean is 6000 the total number of students = 5*6000

= 30,000.

If graduates are excluded we have 4*7000 = 28,000 students.

So the number at graduate level

=  30,000 - 28,000

= 2,000.

Answer:

B=28

Step-by-step explanation:

Answer:

Part A) $202.50=9

Part B) $292.50=11

Step-by-step explanation:

Part A) y is the total cost, x is the total number of students. Therefore, y=x.

Which makes $202.50=9

Part B) since $202.50= 9 students,

1 student= $202.50÷9 = $22.50

Since 4 students joined,

4 students= $22.5 × 4= $90.00

4+9= 11 students

So 11 students= $202.50+$90.00 =$292.50

the total cost will now be $292.50

The given equation is

When the equation is in slope-intercept form, the coefficient of x is the slope. So, the slope of the given equation is 6.

It is important to know that parallel lines have equal slopes.

The cosine model is y = - 7 + 10 · cos (π · x/30 - π).

The sine model is y = - 7 + 10 · sin (π · x/30 - π/2).

Sinusoidal functions are periodic trascendent expressions which involves trigonometric functions. There are two kinds of sinusoidal functions:

\(y = A \cdot \cos (B\cdot x + C) + D\)     (1)

\(y = A\cdot \sin (B\cdot x + C) + D\)      (2)

Where:

First, we find the amplitude and the midpoint:

A = [3 - (- 17)]/2

A = 10

D = [3 + (- 17)]/2

D = - 7

Now we find the angular phase and the angular frequency for each model:

Cosine model (x, y) = (0, - 17), (x, y) = (30, 3)

- 17 = 10 · cos C - 7     (3)

3 = 10 · cos (30 · B + C) - 7      (4)

By (3):

- 10 = 10 · cos C

cos C = - 1

C = acos(- 1)

C = - π

And by (4):

3 = 10 · cos (30 · B - π) - 7

10 = 10 · cos (30 · B - π)

cos (30 · B - π) = 1

30 · B - π = acos 1

30 · B - π = 0

30 · B = π

B = π/30

The cosine model is y = - 7 + 10 · cos (π · x/30 - π).

Sine model

Obtain the sine model by using trigonometric expressions:

cos θ = sin (θ + π/2)     (5)

By (5):

y = - 7 + 10 · sin (π · x/30 - π + π/2)

y = - 7 + 10 · sin (π · x/30 - π/2)

The sine model is y = - 7 + 10 · sin (π · x/30 - π/2).

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