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Explain how you would apply exponent rules to evaluate for the value of (x³/x)² if x =1/2?

Answer:

The polynomial expression for the profit from making and selling 'n' paper goods, is;

n × (n - 18)

Step-by-step explanation:

The revenue, 'R', and the cost, 'C', from the company's Scranton, PA factory are as follows;

R = 2·n² - 15·n + 23

C = n² + 3·n + 23

The profit, 'P', is the revenue, 'R', in excess of the cost, 'C', therefore;

The profit, P = R - C

By substituting the polynomials representing 'R', and 'C', we have;

P = 2·n² - 15·n + 23 - (n² + 3·n + 23)

∴ P = 2·n² - n² - 15·n - 3·n + 23 - 23

P = n² - 18·n = n·(n - 18)

P = n·(n - 18)

The polynomial expression for the profit from making and selling 'n' paper goods, is P = n·(n - 18).

Answer:

Based on the calculations, the store with the better buy is The Eyewear Shoppe

Step-by-step explanation:

Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores.

For The Eyewear Shoppe:

The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion.

Based on this promotion, you can get 2 sunglasses for $60

For Sunglass House

Sunglass House sells the sunglasses go 20% off the $40 retail price.

A Sunglass = $40 - ( 20%× $40)

= $40 - $8

= $32

Two sunglasses will cost = $32 × 2

= $64

Therefore, based on the above calculations, the store with the better buy is The Eyewear Shoppe

If Jake buys 2 sunglasses from Sunglass House the total price would be $64. The Eyewear Shoppe would get you two sunglasses for $60. This means that the The Eyewear Shoppe is a better buy.

To calculate the expected frequency of the sequence "AT" assuming a random order, we can multiply the individual frequencies of "A" and "T" in the genome. In this case, since the frequency of cytosine (A) is 0.2 and the frequency of guanine (T) is also 0.2, we multiply these values:

Expected frequency of "AT" = Frequency of "A" * Frequency of "T" = 0.2 * 0.2 = 0.04

Therefore, we would expect to find the sequence "AT" at a frequency of 0.04 in a genome with a random order.

To determine whether the observed N occurrences of "AT" are significantly underrepresented relative to expectation, we can employ statistical tests.

One commonly used test is the chi-square test. By comparing the observed frequencies with the expected frequencies based on a random distribution, we can assess whether the deviation is statistically significant.

The chi-square test measures the difference between observed and expected frequencies, taking into account the sample size (genome length, L) and degrees of freedom.

If the calculated chi-square value exceeds a critical threshold, it suggests that the observed frequency of "AT" is significantly different from the expected frequency under random distribution.

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[tex]z=xe^y,\ x=u^2-v^2,\ y=u^2 v^2[/tex]. Using partial differentiation, ∂z/∂u = [tex]2ue^y + 2uv^2xe^y[/tex] and ∂z/∂v = [tex]-2ve^y + 2u^2\ vxe^y[/tex].

How to apply partial differentiation?

To find the partial derivatives ∂z/∂u and ∂z/∂v, we will differentiate the function [tex]z = xe^y[/tex] with respect to u and v while keeping other variables constant.

Given:

[tex]z = xe^y,\\x = u^2 - v^2,\\y = u^2v^2.[/tex]

First, let's express z in terms of u and v by substituting the expressions for x and y into z:

[tex]z = (u^2 - v^2)e^{u^2v^2}[/tex]

Now, we can find the partial derivatives.

Partial derivative ∂z/∂u:

To find ∂z/∂u, we differentiate z with respect to u while treating v as a constant. Applying the chain rule, we have:

∂z/∂u = (∂z/∂x)(∂x/∂u) + (∂z/∂y)(∂y/∂u).

∂z/∂x = [tex]e^y[/tex],

∂x/∂u = 2u,

∂z/∂y =[tex]x * e^y[/tex],

∂y/∂u = [tex]2uv^2[/tex].

Substituting these values, we get:

∂z/∂u = [tex](e^y)(2u) + (x * e^y)(2uv^2)[/tex].

∂z/∂u = [tex]2ue^y + 2uv^2xe^y[/tex].

Partial derivative ∂z/∂v:

To find ∂z/∂v, we differentiate z with respect to v while treating u as a constant. Applying the chain rule, we have:

∂z/∂v = (∂z/∂x)(∂x/∂v) + (∂z/∂y)(∂y/∂v).

∂z/∂x = [tex]e^y[/tex],

∂x/∂v = -2v,

∂z/∂y = [tex]x * e^y[/tex],

∂y/∂v = [tex]2u^2v[/tex].

Substituting these values, we get:

∂z/∂v = [tex](e^y)(-2v) + (x * e^y)(2u^2v)[/tex].

∂z/∂v = [tex]-2ve^y + 2u^2vxe^y[/tex].

Therefore, the partial derivatives are:

∂z/∂u = [tex]2ue^y + 2uv^2xe^y[/tex],

∂z/∂v =[tex]-2ve^y + 2u^2\ vxe^y.[/tex]

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Answer:

10

Step-by-step explanation:

Hello,

I believe this is the explanation of this problem. If not, anyone else is free to correct me on this.

Look at the line segment passes through the center and is divided into 8 and 4. Since this line segment passes through the center of the circle, this is the diameter and is equal to 12 simply by adding 8 and 4..

Let's look at the next segment. It passes through the center as well, so it must have the same diameter. After all, the circle has the same diameter no matter what as long as the segment passes through the center.

You have the length of one part of that segment, which is 2. Subtract it from 12, the diameter you got from the other segment, and the answer is 10.

Hope this helps!

Answer:

Answer

5.0/5

1

sana112704

Answer:

i think the answer is 10,296

Step-by-step explanation:

The first one is still 13C6

Review the definition of combina

Step-by-step explanation:

Answer:

what is the answer to part one ?

and the answer too part 2 ?

the answers down below wereńt clear enough .

Step-by-step explanation

Answer:

234

Step-by-step explanation:

x=2+3

Answer:

A. They will pay more with the new price plan.

B. The new price plan would be cheaper.

Step-by-step explanation:

A. They will pay more with the new price plan.

For the current price plan, you would add the $3 rent to the two games (which are $4 each). This basically means:

$3 + $4 + $4 = $11

For the new price plan, you would add the $11 rent to the two games (which are $2 each). This basically means:

$11 + $2 + $2 = $15

Therefore, you pay more for the new price plan.

B. Using similar logic as part A, the current price plan 7 games would cost:

$3 + [7 x ($4)] = $31    (multiply by 7 since they play 7 games)

For the newprice plan, 7 games would cost:

$11 +  [7 x ($2)] = $25    (multiply by 7 since they play 7 games)

Therefore, the new price plan would be cheaper.

Hope this helps :)

Answer:

Angle B: 26 degrees

Angle C: 26 degrees

Angle BSD: 97 degrees

Angle CSE: 97 degrees

Angle E: 57 degrees

Arc BC: 114 degrees

Step-by-step explanation:

Good luck boi

Answer:

3/8

Step-by-step explanation:

125+75= 200

75:200= 3/8

3/8 is  the ratio of the number of geese to the total number of birds in the simplest form.

Answer:

$1.50

25% of 6 is 1.5

Answer: $1.50

Step-by-step explanation:

0.25x5.99= 1.4975 which would round to 1.5

Answer:

Step-by-step explanation:

O;B

don't use rope, us duck tape it always works

this is a haha funny joke by the way

Answer:

[9.99744 (10m)] for q#1 and [18688.006kg (18,688kg] for q#2

Step-by-step explanation:

Answer:

First blank is 10m

Second blank is 18688kg

Step-by-step explanation:

Use the conversion calculator

To maintain the same exposure of 100mR with a new technique of 20 mAs, the new kV value should be increased to approximately 120 kV.
The exposure received by a patient during an X-ray examination is determined by the product of milliamperes-seconds (mAs) and kilovolts (kV).

In this case, the initial technique of 40 mAs with 60 kV resulted in an exposure of 100mR.

To calculate the new kV value, we can use the mAs reciprocity law, which states that if the mAs is halved, the kV should be doubled to maintain the same exposure. In other words, the product of mAs and kV should remain constant.

In the initial technique, the product of mAs (40) and kV (60) is 2400. When the mAs value is reduced to 20, we need to find the new kV value that, when multiplied by 20, gives the same product of 2400.

By rearranging the equation, we find that the new kV value should be approximately 120, obtained by dividing the constant (2400) by the new mAs value (20).

To maintain the same exposure of 100mR with a reduced mAs value of 20, the new kV value should be increased to approximately 120 kV. This adjustment ensures that the product of mAs and kV remains constant, as dictated by the mAs reciprocity law.

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Answer: D

Step-by-step explanation: =8x+14+9x+−5

=(8x+9x)+(14+−5)

=17x+9

Answer:

Ahmed:

x + 6y = 360

Sarah:

3x + 6y = 420

Step-by-step explanation:

Let

Cost of the small box = x

Cost of the medium box = y

Ahmed:

x + 6y = 360

Sarah:

3x + 6y = 420

x + 6y = 360 (1)

3x + 6y = 420 (2)

Eliminate y by subtracting (1) from (2)

3x - x + 6y - 6y = 420 - 360

2x = 60

x = 60/2

x = 30

Substitute x = 30 into (1) to find y

x + 6y = 360

30 + 6y = 360

6y = 360 - 30

6y = 330

y = 330/6

y = 55

Cost of the small box = x = 30 dirhams

Cost of the medium box = y = 55 dirhams

The answers are =

1) The board is now 1.26 meters long.

2) Olivia's recipe calls for approximately 113 grams of rice and a baking temperature of approximately 176.67 degrees Celsius.

3) The cost of a piece measuring 3.70 meters is 3.70 × $12.99 = $48.03. Rounded to the nearest cent, the cost is $48.03.

4) Jalo's weight in pounds is approximately 80.9 × 2.20462 ≈ 178.6 pounds.

5) Approximately 13.5 liters of punch are needed for 75 people.

Peggy's cutting board initially measured 2 meters 4 centimeters, which is equivalent to 204 centimeters.

After cutting off 78 centimeters, the board's new length is 204 - 78 = 126 centimeters.

To convert this to meters, divide by 100: 126 cm ÷ 100 = 1.26 meters. Therefore, the board is now 1.26 meters long.

2) To convert 4 ounces of rice to grams, we need to know the conversion factor.

1 ounce is approximately equal to 28.35 grams.

Therefore, 4 ounces of rice is approximately equal to 4 × 28.35 = 113.4 grams.

To convert 350 degrees Fahrenheit to Celsius, we use the formula: Celsius = (Fahrenheit - 32) × 5/9.

Celsius = (350 - 32) × 5/9 = 318 × 5/9 ≈ 176.67 degrees Celsius.

Therefore, Olivia's recipe calls for approximately 113 grams of rice and a baking temperature of approximately 176.67 degrees Celsius.

3) The length of the fabric is 3 meters 70 centimeters, which is equivalent to 3.70 meters.

The cost of the fabric per meter is $12.99.

Therefore, the cost of a piece measuring 3.70 meters is 3.70 × $12.99 = $48.03. Rounded to the nearest cent, the cost is $48.03.

4) Jalo's weight is given as 80.9 kilograms.

To convert this to pounds, we need to know the conversion factor. 1 kilogram is approximately equal to 2.20462 pounds.

Therefore, Jalo's weight in pounds is approximately 80.9 × 2.20462 ≈ 178.6 pounds.

Jalo's height is given as 1.83 meters.

To convert this to feet, we need to know the conversion factor. 1 meter is approximately equal to 3.28084 feet.

Therefore, Jalo's height in feet is approximately 1.83 × 3.28084 ≈ 6.003 feet, which can be rounded to 6 feet.

Therefore, Jalo weighs approximately 178.6 pounds and is approximately 6 feet tall.

5) Each serving of punch is 180 mL.

To find the total amount of punch needed for 75 people, we multiply the serving size by the number of people: 180 mL × 75 = 13,500 mL.

Since 1 liter is equal to 1,000 mL, we can convert the amount of punch to liters by dividing by 1,000: 13,500 mL ÷ 1,000 = 13.5 liters.

Therefore, approximately 13.5 liters of punch are needed for 75 people.

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An equation of the cone z = √3x² + 3y² in spherical coordinates is: None of these. A cone is formed by rotating a straight line around an axis when one end of the straight line remains fixed.

For example, if the equation of a cone is known, we may use calculus to calculate the cone's volume and surface area. Cone: A cone is a three-dimensional geometric shape that has one circular base at one end and a single point at the other end. A cone's height is the distance from the tip to the base surface's center. The angle formed between the slant height and the base radius is called the cone's half-angle. The vertical plane that passes through the cone's apex and base centerline is called the cone's axis.

Spherical coordinates: In three-dimensional space, spherical coordinates are a coordinate system. Three parameters, the radial distance r, the polar angle θ, and the azimuthal angle φ, are used to specify the position of a point using spherical coordinates. In this case, the radial distance, which is the distance from the origin, is r, and the polar angle and azimuthal angles are represented by θ and φ, respectively. Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5 - x² - y² where x² + y² ≤ 4.

The cylindrical coordinate system is a three-dimensional coordinate system that uses cylindrical polar coordinates to specify a point in space. Cylindrical coordinates are a generalization of two-dimensional polar coordinates, which are used to define a point in the plane. The integral that allows us to calculate the volume of the region is given by: ar dzdrde. Let D be the region in the first octant enclosed by the two spheres x² + y² + z² = 4 and x² + y² + z² = 25. The integral that allows us to calculate the volume of the region is given by: p²sinodpdode.

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Answer:

B) 6 miles

Step-by-step explanation:

(24 - 6)/3 = 6 miles

The given statement, "Logistic regression works well for perfectly separable data, that is, a hyperplane in the feature space can separate the two classes in the training set" is FALSE.

This statement is incorrect because the logistic regression model does not work well with perfectly separable data as logistic regression is not designed to handle perfectly separable data.

Explanation:Logistic regression is a statistical method used for modeling the relationship between a dependent variable and one or more independent variables.

It is widely used for classification problems that involve predicting a categorical outcome.For instance, logistic regression is used to predict the probability of a particular outcome (such as a person's gender, a customer's behavior, or a patient's diagnosis) based on one or more independent variables (such as age, income, education, etc.).However, logistic regression assumes that the data are not perfectly separable.

That is, it assumes that there is some overlap between the two classes in the feature space, and the logistic regression model tries to find a hyperplane that separates the two classes with maximum margin.

This means that logistic regression works best when the data is not perfectly separable. If the data is perfectly separable, then the logistic regression model will not work well because it will fail to find a decision boundary that separates the two classes.

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The statement "Logistic regression works well for perfectly separable data, that is, a hyperplane in the feature space can separate the two classes in the training set" is false.

Logistic Regression is a statistical technique for examining a dataset in which there are one or more independent variables that determine an outcome.

The outcome is determined by a binary variable, which means that there are just two possible results.

In other words, it determines the likelihood of a dependent variable occurring for a given set of independent variables. It is widely used for prediction and classification purposes.

Logistic regression makes no assumptions about the distribution of the independent variables and, unlike linear regression, can use binary, categorical, and continuous independent variables. It also estimates the probabilities of an event occurring.

Linear regression is for continuous data and logistic regression is for categorical data.

So, the statement "Logistic regression works well for perfectly separable data, that is, a hyperplane in the feature space can separate the two classes in the training set" is false because logistic regression works best when data is inseparable.

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Answer:

Step-by-step explanation:

In this scenario, You've asked about the Chutney (Sauce/Raita).

Ok, So let's suppose you are making a "Chutney"

The amount of milliliters (Weight measurement) depends upon the amount of usage/intake that one is taking.

It could be a few hundred (gms. or some Kg's).

That totally depends up on your choice

Answer:b

Step-by-step explanation:

The function f(t) = 5sin(3t) + 4 represents the oscillations of the spring it had an amplitude of 5, a frequency of 3/(2pi), and a midline of 4 option second is correct.

It is defined as the number of waves that crosses a fixed point in one second known as frequency. The unit of frequency is per second.

We have amplitude A = 5

Frequency f = 3/(2π)

Midline m = 4

The equation for the simple periodic motion is given by:

f(t) = Asin(wt+∅) + m

Here phase angle ∅ = 0

We know:

w = 2πf

w = 2π(3/2π)

w = 3

Put all the values in the equation:

f(t) = 5sin(3t) + 4

Thus, the function f(t) = 5sin(3t) + 4 represents the oscillations of the spring it had an amplitude of 5, a frequency of 3/(2pi), and a midline of 4

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Answer:

y = -5x + 1

Slope:

(-9 - -4)/(2 - 1) = -5 = m