A 2 ×× 2 ×× 2 factorial design indicates that the experiment includesA) two dependent variables.B) three dependent variables.C) two independent variables.D) three independent variables.E) eight independent variables.

The perimeter of the rhombus is 4√117 feet.

What is rhombus?

A rhombus is a special type of quadrilateral (a polygon with four sides) where all four sides are equal in length. It is also known as a diamond shape because of its symmetrical appearance.

In a rhombus, the diagonals are perpendicular bisectors of each other. This means that they divide the rhombus into four congruent right triangles.

Let's denote the length of one diagonal as d1 and the length of the other diagonal as d2. In this case, d1 = 18 feet and d2 = 12 feet.

Each right triangle formed by the diagonals has legs equal to half the lengths of the diagonals. Therefore, the lengths of the legs are d1/2 = 18/2 = 9 feet and d2/2 = 12/2 = 6 feet.

Using the Pythagorean theorem, we can find the length of the hypotenuse of each right triangle, which is also a side of the rhombus.

\(h^2 = (leg1)^2 + (leg2)^2\\\\h^2 = 9^2 + 6^2\\\\h^2 = 81 + 36\\\\h^2 = 117\)

Taking the square root of both sides:

h = √117

Since the rhombus has four congruent sides, the perimeter is given by:

Perimeter = 4 * h = 4 * √117

Thus, the perimeter of the rhombus is 4√117 feet.

To learn more about rhombus visit:

https://brainly.com/question/88523

#SPJ4

The rate at which the volume of the box of height 10 inches is changing when the width is 8 inches and the length is 6 inches is 440 cubic inches per second

The volume of a rectangular box is the product of the length, the width and the height of the box.

The height of the rectangular box, h = 10 inches

The rate of change of the length of the box is; \(\frac{dl}{dt}\) = 2 in/sec

The rate at which the width is decreasing is; \(\frac{dw}{dt}\) = 4 in/sec

When the length is 8 inches and the width is 6 inches, we get;

\(\dfrac{dV}{dt} = \dfrac{d}{dt} \left(l\cdot w \cdot h\right)\)

\(\dfrac{dV}{dt} =h\times \left(l\cdot \dfrac{dw}{dt} + w \cdot \dfrac{dl}{dt} \right)\)

When l = 8, and w = 6, we get;

\(\dfrac{dV}{dt} =10\times \left(8\times 4 + 6 \times 2 \right)=440\)

The rate at which the volume of the rectangular box is changing in cubic inches per second is therefore;

\(\dfrac{dV}{dt} =440 \ in^3/sec\)

Learn more about the rate of change of a function here:

https://brainly.com/question/8728504

#SPJ1

The object would feel a force of approximately 5.35 Newtons if it is at a distance of 0.77 meters from the other charged object.

If the force between two charged objects varies inversely with the square of their distance, then we can use the following formula: F =

\(kQ1Q2 / r^2\) where F is the force, \(Q1\) and \(Q2\) are the charges on the objects, r is the distance between them, and k is a constant of proportionality.

To find the value of k, we can use the given information that when the objects are at a distance of 0.64 meters apart, the force acting on them is 8.2 Newtons. Thus, we have: 8.2 =  \(kQ1Q2 / (0.64)^2\)

To find the force when the objects are 0.77 meters apart, we can rearrange the equation and solve for F: F =  \(kQ1Q2 / (0.77)^2\)

We can then substitute the value of k from the first equation and solve for \(F: F = (8.2 * (0.64)^2) / (0.77)^2 F\) = 5.35 Newtons.

Learn more about Newtons here:

https://brainly.com/question/3273157

#SPJ4

Answer:

6

Step-by-step explanation:

Answer:

they cost

cross at (4,-3)

Answer:

(4,-3)

Step-by-step explanation:

the dot is directly down from the x axis straight across (side to side)

and the y axis straight up (up and down)

Answer:

1.48*10^-3

Step-by-step explanation:

You have to move to get to the decimal point

Have a good day! :)

Answer: The decimal equivalent to 2/9 = 0.22

Step-by-step explanation:

Define Decimal equivalent :

The decimals with the same number of decimal places are called like decimals. Equivalent decimals are decimal numbers that have the same value. For example, 3.42, 6.05 are like decimals as they have two decimal places. For example, 0.3 and 0.30 are equivalent decimals as they present the same value.

How do you find the equivalent decimal?

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division.

Given data,

Find the decimal equivalent to 2/9.

To get a fraction into a decimal you have to divide the fraction. I was taught since the 2 is the numerator, it gets divided out of and the 9 is what you're dividing the 2.

so, we can write,

                        x = 2/9

where,          numerator = 2

                     denominator = 9

Then, x = 2/9 = 0.22

Therefor, the decimal equivalent to 2/9 = 0.22

Learn more about event correlation here: brainly.com/question/28444671

#SPJ9

Answer:

y = 4x + 5

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

a. Solve

-4x + 5 = 7

-4x = 2

x = -0.5

b. Solve

3x + 1 = 10

3x = 9

x = 3

c. Solve (Correct)

2x - 3 = -11

2x = -8

x = -4

d. Solve

-2x + 7 = 1

-2x = -6

x = 3

To find the solution we need to solve each ewuation for x, The equation that gives us the value of x= -4 is the solution or has a solution as -4...

\( \bf \: - 4x + 5 = 7 \\ \bf \: - 4x = 7 - 5 \\ \bf \: - 4x = 2 \\ \bf \: x = - \frac{2}{4} \\ \bf \: x = - \frac{1}{2} \\ \sf \: incorrect \)

\( \sf \: 3x + 1 = 10 \\ \sf \: 3x = 10 - 1 \\ \sf \: 3x = 9 \\ \sf \: x = 3 \\ \bf \: incorrect\)

\( \tt \: 2x - 3 = - 11 \\ \tt \: 2x = - 11 + 3 \\ \tt \: 2x = -8 \\ \tt \: x = - 4 \\ \rm \: correct\)

\( \rm \: 7 - 2x = 1 \\ \rm \: - 2x = 1 - 7 \\ \rm \: - 2x = - 6 \\ \rm \: x = 3 \\ \tt \: incorrect\)

➪ Thus, Option C is correct!

(a) x² + y² + z² = 49 represents a sphere with radius 7 in Cartesian coordinates, which can be written as ρ² = 49 in spherical coordinates.

(b) x² - y² - z² = 1 represents a hyperboloid of one sheet in Cartesian coordinates, which can be expressed in spherical coordinates as ρ^2 sin^2θ cos^2φ - ρ^2sin^2θsin^2φ - ρ^2cos^2θ = 1.

(a) The equation x² + y² + z² = 49 represents a sphere with radius 7 centered at the origin in Cartesian coordinates. In spherical coordinates, the equation can be written as ρ² = 49, where ρ is the radial distance from the origin.

This equation shows that all points with a distance of 7 units from the origin lie on the surface of the sphere.

(b) The equation x² - y²- z² = 1 represents a hyperboloid of one sheet in Cartesian coordinates. To express it in spherical coordinates, we need to make a coordinate transformation.

Using the relationships x = ρsinθcosφ, y = ρsinθsinφ, and z = ρcosθ, where ρ is the radial distance, θ is the polar angle, and φ is the azimuthal angle, we can rewrite the equation as ρ²sin^2θcos^2φ - ρ^2sin^2θsin^2φ - ρ^2cos^2θ = 1.

Simplifying this equation gives us the equation of the hyperboloid in spherical coordinates.

Learn more about Coordinate:

brainly.com/question/22261383

#SPJ11

Answer:

vertically opposite angles

Answer:

it's is a vertical angel they are equal each other ( = )

\(1 = 2\)

The value of the function as x tends to -1 is an infinite value.

Given the function f(x) = 1/(x+1)

The value of f(x) as x tends to -1, is gotten by substituting the value of x given into the function as shown:

f(-1) = 1/(-1+1)

f(-1) = 1/0

f(-1) = \(\infty\)

From the result, we can see that the value of the function as x tends to -1 is an infinite value.

learn more here: https://brainly.com/question/20512128

Answer:

yes tax is .7 per dollar there for every dollar u spend u pay an extra .7

Karnaugh map or K-map can be defined as the pictorial representation of the logic function.

Karnaugh map provides a pictorial representation of the binary function which is more easily minimized than a Boolean algebraic expression.

Now let us simplify the given Boolean function, using three-variable K-maps below:Three-variable K-maps:F(x, y, z) = (0, 2, 3, 4, 6)

By using Karnaugh map, we have:F(x, y, z) = xy + xz + yz.

The simplified boolean function is F(x, y, z) = xy + xz + yz, which contains 10 terms.Now, the answer is in 250 words.

To know more about function, click here

https://brainly.com/question/30721594

#SPJ11

Answer:

If you're asking for the new price, just find 5% of $75.

$75 * 0.05 = $3.75

Answer:

20.2m

Step-by-step explanation:

the shadow becomes the base and the hypotenuse becomes 37,it forms a right angled triangle and using the Pythagoras theorem you take 37squared minus 31 squared,the answer you get you squareroot to get the answer

These standardization methods are crucial in chromatography to ensure accurate quantification and comparability of results.

In chromatography, standardization methods are used to ensure accurate and reliable results by establishing reference points or calibration standards. Here are three common methods of standardization in chromatography: External Standardization: In this method, a set of known standard samples with known concentrations or properties is prepared separately from the sample being analyzed. These standards are then analyzed using the same chromatographic conditions as the sample. By comparing the response of the sample to that of the standards, the concentration or properties of the sample can be determined. Internal Standardization: This method involves the addition of a known compound (internal standard) to both the standard solutions and the sample. The internal standard should ideally have similar properties to the analyte of interest but be different enough to be easily distinguished. The response of the internal standard is used as a reference to correct for variations in sample preparation, injection volume, and instrumental response. Internal standardization helps improve the accuracy and precision of the analysis. Standard Addition: This method is useful when the matrix of the sample interferes with the analysis or when the analyte concentration is unknown. It involves adding known amounts of the analyte of interest to different aliquots of the sample. The response of the analyte is then measured, and the concentration is determined by comparing the response with that of the standards. The difference in response between the sample and the standards allows for the determination of the analyte concentration in the original sample.

Learn more about chromatography here:

https://brainly.com/question/31309579

#SPJ11

Answer:

see below

Step-by-step explanation:

1 B    Answer :

\(7\times7\times7\times7\times7/7\times7\times7\times7=7\)    or    \(7^{2+3}/7^{4} =7^{5-4} =7^{1} =7\)

2 B    Answer :

\(k^{4\times2} \times k^{5} =k^{8+5} =k^{13}\)

3B    Answer :

\(5a-15-a/1=5a-a-15=4a-15\)

Hope that help

Based on Pythagoras' theorem, EB is equal to 38.7 and DY is 17.7.

The length of the sides EB and DY are obtained using Pythagoras theorem.

Since EY is a perpendicular bisector;

EB = √(64.2² - 51.2²)

EB = 38.7

Since, DY is a perpendicular bisector;

DY = √64.2² - 61.7²)

DY = 17.7

Therefore, EB is equal to 38.7 and DY is 17.7.

Learn  more about Pythagoras theorem at: https://brainly.com/question/343682

#SPJ1

The mass of water vapor (g) / mass of dry air (kg) is the humidity measure of  the mixing ratio

The mixing ratio is defined as the mass of water vapor in grams divided by the mass of dry air in kilograms in a mixture of air and water vapor. It is a useful parameter for meteorologists and atmospheric scientists to describe the amount of water vapor in the atmosphere, particularly in the upper atmosphere where the relative humidity may be very low.

Relative humidity is the ratio of the partial pressure of water vapor in the air to the equilibrium vapor pressure at a given temperature and pressure, expressed as a percentage. Vapor pressure is the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases at a given temperature in a closed system. Absolute humidity is the mass of water vapor per unit volume of moist air.

Learn more about mixing ratio here

brainly.com/question/28197484

#SPJ4

You need a score of 72 out of 100 on exam 2 to perform as well as you did on exam 1.

To determine the score you need on exam 2 to perform as well as you did on exam 1, given the mean and standard deviation for exam 2 and the scores for exam 1, you can use the formula for z-scores.

The formula is :z = (X - μ) / σ,

where X is the score you received on exam 1, μ is the mean score for exam 1, and σ is the standard deviation for exam 1.

To find the score you need on exam 2, you can rearrange the formula as follows: X = z * σ + μ, where z is the z-score you calculated for your score on exam 1.

To calculate the z-score for your score on exam 1, you can use the formula: z = (X - μ) / σ = (87 - 79) / 4 = 2.T

o find the score you need on exam 2 to perform as well as you did on exam 1, you can substitute the values you have into the formula:

X = z * σ + μ = 2 * 6 + 60 = 72.

So, you need a score of 72 out of 100 on exam 2 to perform as well as you did on exam 1.

Know more about standard deviation here:

https://brainly.com/question/13498201

#SPJ11

The slack for binding constraints s always zero.

Each of the constraints has a stated slack or surplus value. When there are less or equal constraints, it is said that there is "slack," and when there are more constraints, it is said that there is "surplus." The matching slack or surplus value will be equal to zero if a constraint is binding.

Total slack, if positive, is the length of time a work can be put off without pushing back the project's completion deadline.

1. A binding constraint's slack value is always zero (0).

2, A "what-if" scenario is the product of a simulation experiment. This basically refers to the examination of information that could characterize or represent a prospective decision option.

3. The maximin decision criteria are used to make cautious decisions. It enables a decision-maker to weigh the worst-case possibilities for each alternative and then choose the best one from those. The "best" results in the example are 1, 5, -4, -3, 2, and 4 for each alternative. With a payout of 5, D-2 is the greatest choice in this situation.

To learn more about slack value visit the link:

https://brainly.com/question/28260831

#SPJ1

The slack for binding constraints s always zero.

What is meant by slack value?
Each of the constraints has a stated slack or surplus value. When there are less or equal constraints, it is said that there is "slack," and when there are more constraints, it is said that there is "surplus." The matching slack or surplus value will be equal to zero if a constraint is binding.

What is meant by positive slack value?
Total slack, if positive, is the length of time a work can be put off without pushing back the project's completion deadline.

1. A binding constraint's slack value is always zero (0).
2, A "what-if" scenario is the product of a simulation experiment. This basically refers to the examination of information that could characterize or represent a prospective decision option.
3. The maximin decision criteria are used to make cautious decisions. It enables a decision-maker to weigh the worst-case possibilities for each alternative and then choose the best one from those. The "best" results in the example are 1, 5, -4, -3, 2, and 4 for each alternative. With a payout of 5, D-2 is the greatest choice in this situation.

To learn more about slack value visit the link:
https://brainly.com/question/28095977
#SPJ1

Answer:

Sides of hexagon = 6

Hexagon

1

1 + 5 = 6

1 + 5 + 9 = 15

1 + 5 + 9 + 13 = 27

1 + 5 + 9 + 13 + 17 = 45

Answer:

4.5

Step-by-step explanation:

So the ladder is 4 feet from the wall and 18 feet tall. This can translate to negative 4 spaces on the x-axis and 18 spaces on the y-axis. The slope of a line is rise over run which is 18/4 or 4.5

I hope the answer is right and I hope I helped. Have fun with the rest of your math :)

a) The probability of a defect is  0.0668.

b. The process standard deviation can be reduced to  0.0062.

c. The advantage of reducing process variation is more efficient and reliable production process, as it reduces the need for inspection and rework.

Probability is the measure of the likelihood of an event occurring. It is used in various fields such as finance, engineering, and manufacturing to analyze and predict outcomes.

One company that utilizes probability in its production process is Motorola. In this scenario, Motorola uses the normal distribution, also known as the Gaussian distribution, to determine the probability of defects in their production process.

The normal distribution is a probability distribution that is symmetric and bell-shaped. It is characterized by its mean and standard deviation. The mean represents the center of the distribution, while the standard deviation represents the spread of the distribution.

a. To determine the probability of a defect, we need to find the area under the normal distribution curve to the left or right of ounces. This area represents the probability of a defect occurring. We can use a standard normal distribution table or a calculator to find this area. The probability of a defect to four decimal places is approximately 0.0668.

If the production run is for 100 items, then the expected number of defects would be 0.0668 x 100 = 6.68. Since we cannot have fractional defects, we would round this number to the nearest whole number, which is 7.

b. If the process standard deviation is reduced to, then the probability of a defect will decrease. This is because a smaller standard deviation means the distribution is less spread out, and therefore, fewer items will fall outside the control limits.

To find the new probability of a defect, we would follow the same process as in part a. The probability of a defect to four decimal places is approximately 0.0062.

c. The advantage of reducing process variation is that it results in a larger distance between the mean and the control limits. This means that there is less chance of items falling outside the control limits, which in turn, reduces the probability of defects. This leads to a more efficient and reliable production process, as it reduces the need for inspection and rework. Additionally, it can lead to cost savings and improved customer satisfaction.

To know more about probability here.

https://brainly.com/question/11234923

#SPJ4

Answer:

B

Step-by-step explanation:

cos(35)=x/15  

15cos(35)=x

x=12.3

Respuesta:

33750

Explicación paso a paso:

Dejar :

Capital total = x

Principal = Inversión = 2 / 3x

Interés, = 3300

Periodo = 7 meses, 10 días = (7 * 30 + 10) = 220 días = 220/360

Tasa, r = 24% = 0. 24

Recordar :

Interés = principal * tasa * período

3300 = 2 / 3x * 0,24 * (220/360)

3300 = 0.0977777x

x = 3300 / 0,0977777

x = 33750

Yes, you can write functions that return a pointer, which can then be assigned to another pointer in C.

1. Define a function that returns a pointer. The return type of the function should be a pointer, for example, 'int*' for a pointer to an integer, 'char*' for a pointer to a character, and so on.

2. In the function, allocate memory using dynamic memory allocation functions like malloc() or calloc(), or return the address of a local variable (only for static or global variables).

3. Assign the returned pointer to another pointer of the same type in the calling function.

Here's an example:

```c
#include
#include

int* create_integer() {
   int* ptr = (int*) malloc(sizeof(int));
   *ptr = 42;
   return ptr;
}

int main() {
   int* my_int = create_integer();
   printf("The value of my_int is: %d\n", *my_int);
   free(my_int);
   return 0;
}
```

In this example, the create_integer() function returns a pointer to an integer, which is then assigned to the 'my_int' pointer in the main function.

#SPJ11

Learn more about pointers:https://brainly.com/question/30002137