Assume that no variable equals 0

1. c^12•c^-4•c^6
2. b^8/b^2
3. (a^4)^5
4. x^-2y/x^4y^-1
5. (a^2b/a^-3b^2)^-1
6. (x^2y/xy^3)^2
7. 1/2(-5a^2b^3)^2(abc)^2
8. m^7•m^8
9. 8m^3n^2/4mn^3
10. 2^3c^4t^2/2^2c^4t^2

help me please !

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

number = x = ?

Step 02:

x = number

5 * x + 8 = 10 + 3 * x

5x + 8 = 10 + 3x

5x - 3x = 10 - 8

2x = 2

x = 2 / 2 = 1

The answer is:

The number is 1

Answer:

Exponential

Step-by-step explanation:

- Linear is a straight line no matter what.

- Quadratic lines makes a u or v shape that opens up, down, left, or right.

- Exponential is like a slanted 45° clockwise u and a bit stretched horizontally.

- Square root lines on a graph, looks more like a slanted L 90° clockwise.

- Inverse Variation would show its inverse, same as a mirror, it would be something similar to a hyperbola.

Hope This Helps!

Answer:

y + 10 =2( x +1)

or

y -2 + 2( x -5)

These both name the same line.

Step-by-step explanation:

First we need to find the slope.  The slope is the change in y over the change in x.  In the point (-1,-10)

-1 is the x and -10 is the y.

In the point (5,2)  

5 is the x and 2 is the y.

\(\frac{2- -10)}{5 - -1)}\)  Subtracting a negative is the same as adding a positive.

\(\frac{2+ 10}{5+1}\) = \(\frac{12}{6}\) = 2

We know know the slope.  We will use the form

y - \(y_{1}\) = m (x-\(x_{1}\))  we will plug in the numbers that we know.  

If we use point (-1, -10)

y -- -10 = 2(x - -1)

y + 10 = 2( x+1)

If we use the point (5,2)

y -2 = 2(x -5)

Both equations mean the same thing.

The intensity of light will be  0.308%

We know that the intensity of the light is given by the formula:

I(d) = 100d⁻²

We want to find the intensity of the light 18 cm from the source, so we just need to evaluate our formula in d = 18, we will get:

I(18) =  100*18⁻² = 0.308

That is the intensity of light at 18cm from the source.

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We need a minimum sample size of 336 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level.

A) When there is no preliminary estimate available, we can use the worst-case scenario, which is p = 0.5 (since this gives the maximum possible variability). The margin of error is given as 3% or 0.03. The formula to calculate the minimum sample size needed is:

n = [Z² x p x (1 - p)] / E²

where Z is the z-value for the desired confidence level, p is the population proportion, and E is the margin of error.

At 90% confidence, the z-value is 1.645. Plugging in the values, we get:

n = [(1.645)² x 0.5 x (1 - 0.5)] / (0.03)²

n ≈ 1217.75

We need a minimum sample size of 1218 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level and an accuracy of 3%.

B) If a proper study found that 11% of U.S. adults eat fast food four to six times per week, we can use this as a preliminary estimate and calculate the minimum sample size needed with the formula:

n = [Z² x p x (1 - p)] / E²

where p is the preliminary estimate of the population proportion (0.11), and the other variables are the same as before.

At 90% confidence, the z-value is 1.645. Plugging in the values, we get:

n = [(1.645)² x 0.11 x (1 - 0.11)] / (0.03)²

n ≈ 335.77

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Answer:

\(\frac{(8+2)^2}{2} = 50\)

\(10+5^2-3 * 2^2 = 23\)

Step-by-step explanation:

\(\frac{(8+2)^2}{2}\)

\(\frac{10^2}{2}\)

\(\frac{100}{2}\)

50

------------------------------

\(10+5^2-3 * 2^2\)

\(10+25-3 * 4\)

\(10+25-12\)

\(35-12\)

23

Answer: 5/13

Step-by-step explanation:

Cosine is adjacent over hypotenuse.

5/13

Hope this helps!

Answer:

Step-by-step explanation:

First a translation then a reflection.

Answer:

Surface area for no.6 is =178

Volume =132

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

Cosine distance is used in the k-means clustering algorithm to remove outliers. It is a metric used to determine the similarity between two documents. In k-means clustering, cosine distance is used to calculate the distance between data points.

Cosine distance is used to normalize the data so that it is not affected by the length of the data vectors or the scale of the data. The cosine distance is calculated as follows:

Cosine distance = 1 - Cosine similarity,

where Cosine similarity = dot product of two vectors/ product of the magnitude of two vectors.

To remove the outliers from the k-means clustering algorithm, we can set a threshold value for the cosine distance. If the cosine distance between two data points is greater than the threshold value, then those data points are considered outliers and they are not included in the cluster. This helps to ensure that the clustering algorithm only groups together data points that are similar and ignores the outliers.

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The answer is 27w - 27u +36 of the given -9( -3w + 3u - 4)

Given,

In the question:

Use distributive property to remove parenthesis.

-9(-3w + 3u - 4)

Now, According to the question:

First, we know:

What does parentheses mean distributive property?

The distributive property allows us to multiply all terms in a parentheses by a number outside of it. a(b +c) = ab + ac.

We have:

-9(-3w + 3u - 4)

Solve by Distributive Property :

-9(-3w + 3u - 4)

Open the bracket:

27w - 27u +36

Hence, The answer is 27w - 27u +36 of the given -9( -3w + 3u - 4)

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the misclassification error rate for the following xlminer confusion matrix and the accuracy value of the confusion matrix is 10.82% .

In the field of machine learning, specifically the problem of statistical classification (in unsupervised learning, it is typically referred to as a matching matrix), a confusion matrix, also known as an error matrix, is a specific table structure that enables visualizing the performance of an algorithm.

The literature describes both iterations of the matrix, where each row represents instances in an actual class and each column represents instances in a predicted class. Since it is straightforward to tell whether the system is combining two classes, the name was chosen (i.e. commonly mislabeling one as another).

accuracy is given by the formula :

Accuracy(%) = (true positive + true negative)/(positive + negative)

Here TP true positive =10

and TN true negative is 8.2

hence accuracy = (10+8.2) / (1+0)  %

Accuracy = 10.82%

Therefore the accuracy value of the confusion matrix is 10.82% .

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The expected value and the variance of the number of inspected bottles with serious defects of 0.18.

To find the expected value and variance of the number of inspected bottles with serious defects, we first need to define the probability distribution for this situation. Since the probability of each bottle having a serious defect is independent of the others, we can use the binomial distribution.

Let's define the following variables:

- X: the number of inspected bottles with serious defects
- p: the probability of a single bottle having a serious defect (0.1)
- n: the sample size (2)

Using the formula for the binomial distribution, we can find the expected value and variance of X:

- Expected value (E[X]) = n * p = 2 * 0.1 = 0.2
- Variance (Var[X]) = n * p * (1 - p) = 2 * 0.1 * (1 - 0.1) = 0.18

This means that we expect to find 0.2 bottles with serious defects on average out of the two inspected bottles. However, there is some variability in this number due to chance, which is represented by the variance of 0.18.

It's important to note that these calculations assume that the sampling is done randomly and independently and that the production line does not change its defect rate during the inspection period. If these assumptions are violated, the expected value and variance may not be accurate.

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Answer:

multiple choice have 30 questions

word problems have 8 questions

Step-by-step explanation:

x=multiple choice. y=word problems

2x+5y=100 ---eq1

x+y=38 ---eq2

y=38-x ---eq3

substitutet eq3 into eq1

2x+5(38-x)=100

2x+(-5x)+190=100

2x-5x=100-190

-3x=-90

x=-90/-3

x=30

substitute x to eq3

y=38-(30)

y=8

multiple choice have 30 questions

word problems have 8 questions

It is defined as the frequency as the number that some event occurs. In this case, let us sum the frequency of each event (R, D, G, or I).

It is 7 Republicans, 7 Democrats, 1 Green Party member, and 5 Independents.

Now, to find the relative frequency, we use:

We know that the total number is 20, then we calculate:

Now, we can construct the following table:

Answer:

b

its a good c hoice

Step-by-step explanation:

Answer:

I'm pretty sure its B but I'm rusty so don't take my word for it.

The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.

According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.

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Answer:

answer is down below

Step-by-step explanation:

u have ur two brackets.

(9b+3)(b-7)=0

take 1 bracket at a time

9b+3=0

solve it so:

9b+3=0

9b=-3

b= -3 / 9

Ans: b=-1/3

take the other bracket

b-7=0

solve it:

Ans: b=+7

An equation is a hyperbola when the locus of a point whose difference in the distances from two fixed points has a constant value.

A hyperbola is a type of smooth curve lying in a plane that is depicted by the geometric properties or by equations for which it is the solution set.

In this case, an equation is a hyperbola when the locus of a point whose difference in the distances between two fixed points has a constant value.

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Answer:

0.856p dollars

Step-by-step explanation:

Original price of TV: p

Discount: 20% of p

Discounted price: p - 20% of p = p - 0.2p = 0.8p

7% sales tax on the discounted price of 0.8p: 0.07 * 0.8p = 0.056p

Add the 7% tax to the discounted price: 0.8p + 0.056p = 0.856p

Answer: 0.856p dollars

Answer:

20 mm (C)

Step-by-step explanation:

Answer:

2,375 m

Step-by-step explanation:

The computation of the distance from his walk to the bus stop is given below:

Let us assume he walks be x

So the bus trip be 4x

4x + 500m

From Home to school, it would be 10km

As we know

1km = 1000m

So for 10km it would be  = 10,000 m

4x + 500 m = 10,000 m

4x = 10,000 m - 500 m

4x = 9,500 m

x = 2,375 m

According to the information provided, it can be inferred that the number of locals that attended the inauguration of the new museum was 125 locals.

To calculate the ratio of the situation described, we must perform the following operation taking into account the data we have:

\(\frac{Tourist}{Locals} = \frac{4}{5}\)

\(\frac{100}{locals} = \frac{4}{5}\)

\(\frac{100 * 5}{4} = 125\)

According to the above, it can be inferred that there are 125 locals at the opening of the new museum.

Note: This question is incomplete because the options are missing. Here are the options:

A. 125 locals.

B. 25 locals.

c. 134 locals.

D. 80 locals.

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Answer:

1. (1/4 x 5/4 x 5/4) = 25/64

2. (2/4 x 2/4 x 6/4) = 3/8

3. (1/4 x 1/4 x 4/2) 1/8

Step-by-step explanation:

Thank me later.

Thus answer is ∥u(x)∥ = 2√(65)/5 and ∥v(x)∥ = √(7/2).

To verify if two functions u(x) and v(x) are orthogonal on the interval [−1,1], we need to check if their inner product over that interval is zero. The inner product of two functions u(x) and v(x) is given by:

⟨u,v⟩ = ∫[−1,1] u(x)v(x) dx

Let's calculate the inner product and check if it equals zero:

∫[−1,1] u(x)v(x) dx = ∫[−1,1] (x^3 - x) (3x^2 + 1) dx

Expanding and integrating:

∫[−1,1] (3x^5 + x^3 - 3x^3 - x) dx = ∫[−1,1] (3x^5 - 2x^3 - x) dx = 0

Since the inner product is zero, we can conclude that the functions u(x) and v(x) are orthogonal on the interval [−1,1].

Next, let's calculate the norms of u(x) and v(x):

∥u(x)∥ = √(∫[−1,1] (x^3 - x)^2 dx) = √(52/5) = √(260/25) = 2√(13/5) = 2√(65)/5

∥v(x)∥ = √(∫[−1,1] (3x^2 + 1)^2 dx) = √(7/2)

Therefore, ∥u(x)∥ = 2√(65)/5 and ∥v(x)∥ = √(7/2).

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