Simplify completely:

Answer:

hey, i tried my best with this. lmk if its correct.

Step-by-step explanation:

(its the bold answer btw)

Answer:

Step-by-step explanation:

Properties used:

Answer: C

Step-by-step explanation:

You would need to divide the 5z and 3 by 4. Putting 5z and 3 as the numerator in a fraction with 4 as the denominator is the same because you’re dividing both values by 4. I think I may have explained it badly, so if someone has a better explanation, can you add that in the comments or in an answer?

Answer:

764

Step-by-step explanation:

well, it is

Answer:

764

700-hundreds + 60-tens + 4-ones

The value is hundreds if this is place value but i learned that in 2nd or 1st

grade u should no this lol

The 95% confidence interval for estimating the true mean length of action films during the past decade is (112.48 minutes, 125.52 minutes), and we are 95% confident that this interval captures the true mean length of action films over the past decade.

To construct the confidence interval, we use the sample mean and sample standard deviation. The sample mean is 119 minutes, and the sample standard deviation is 21.5 minutes. Since we have a sample size of 30, we can assume the distribution of the sample mean is approximately normal.

Using a t-distribution with 29 degrees of freedom (n-1), and a confidence level of 95%, we find the critical value for a two-tailed test to be approximately 2.045. The margin of error is calculated by multiplying the critical value by the standard error, which is the sample standard deviation divided by the square root of the sample size.

The margin of error is \((2.045 * 21.5) / \sqrt{30} = 6.77 minutes\).

Therefore, the 95% confidence interval is calculated as (119 - 6.77, 119 + 6.77), which gives us (112.48 minutes, 125.52 minutes). This means that we are 95% confident that the true mean length of action films during the past decade falls within this interval.

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Answer:

4

Step-by-step explanation:

Function 1 is moving at a constant rate meaning it has the rate of change of 0/1 or 0.

Function 2 says y is 4x meaning that the rate of change is 4/1 or 4.

0 - 4= I-4I or 4

The rate of change in this context refers to the change in the value of p, specifically between the peak and closing.This allows us to understand how much p changes on average between these two points in time.

It is a measure of how quickly or slowly the value of p is changing over time.

By calculating the average rate of change, we can understand the overall trend of the value of p and whether it is increasing or decreasing at a steady rate or if there are fluctuations.

This information can be useful for understanding the performance of a stock or investment, as well as predicting future trends.

Additionally, the rate of change can also help to identify any potential issues or opportunities within the market.

Overall, the rate of change provides a clear picture of the stock's performance over a certain period of time.

To calculate the average rate of change of p between peak and closing, we need to find the difference in p values (p(14) - p(8)) and divide that by the difference in time (14 - 8).

p(14) - p(8) = ? - ? = ?

(14 - 8) = ?

The average rate of change of p is ?/6.

The meaning of the rate of change in the context of this problem is the average change in the value of p per unit of time.

In this case, we are looking at the average change in p between the peak and closing, and expressing that change as a ratio of p(14) - p(8) to (14 - 8). This allows us to understand how much p changes on average between these two points in time.

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Explanation

let the surface of the water

Answer:

Here is the answer

Step-by-step explanation:

The kitten weighs_____pounds every week                    -0.6 pounds

Weight of the kitten at current time                                    -7 pounds

Weeks it will take for the kitten to reach 10 pounds         -0.6+7=7.6

                                                       now round it off and you will get 7

                            ∴the kitten will take 7 more weeks for getting to 10 pounds            

The kitten will be at least 10 pounds after 5 weeks. Let's set up an equation to solve for the number of weeks needed for the kitten to reach at least 10 pounds.

Let "w" represent the number of weeks.

The weight of the kitten after "w" weeks can be calculated as:

Weight = Initial weight + (Weight gained per week * Number of weeks)

Weight = 7 + (0.6 * w)

We want to find the number of weeks when the weight is at least 10 pounds:Weight ≥ 10

Substituting the equation for weight:

7 + (0.6 * w) ≥ 10

Subtracting 7 from both sides:

0.6 * w ≥ 3

Dividing both sides by 0.6:

w ≥ 3 / 0.6

w ≥ 5

Therefore, the kitten will be at least 10 pounds after 5 weeks.

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The Correct choices are :

Answer:

So the solution would be (1,-2). Remember you can always validate that the solution is correct by plugging it into both equations. But this is the same as the first equation, y=3x-5. Since they are the SAME line they will have infinite solutions.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

x²-4/x²+9x+20 >=0

cross multiplying the equation we have,

(x²-4/x²+9x+20)*x²+9x+20 >= 0*x²+9x+20

= x²-4>=0

x²>=4

taking the square root of both sides, we have:

√x²>= √4

x >=2

The property descriptions which the township is located in is 9 North and Range 6 West

The townships serve as the main elements in the government's rectangular survey approach for identifying the position of properties. A township comprises a square region of six miles on all its four sides.

In order to ascertain the exact township where the property is situated, it is necessary to compute the township coordinates using the specified distance.

From the information given, we have to convert the distance to township units.

We have;

57 miles north / 6 miles = 9.5 townships north

38 miles west / 6 miles = 6.33 townships west

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The classification model is used to define the percentage of customers between 20 and 30 years of age who lived within 5 miles of the store used the coupon.

Percentage:

In math,  number or ratio that can be expressed as a fraction of 100 refers the percentage.

Given,

Here we have a dollar general sends out a $5 off coupon to its email subscribers.

And we need to find the percentage of customers between 20 and 30 years of age who lived within 5 miles of the store used the coupon.

Then the model used to define the this type of situation is refers as the classification model, because in this model, we have classify the given group of people based on the constraint.

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Answer:

It is 13 quarters.

Step-by-step explanation:

0.25x=3.25

The amount of money in account after 16 years will be $162,823.39. The solution has been obtained by using compound interest.

What is compound interest?

Compound interest considers the principal when determining the interest for the subsequent month, in contrast to simple interest, which does not. In algebra, compound interest is typically denoted by the letter C.I.

We are given the following information:

P = $72000

Rate (r) = 5.1% = 0.051

Time (t) = 16 years

Using the formula, we get

⇒V = P\(e^{rt}\)

⇒V = (72000) e⁰°⁰⁵¹ˣ¹⁶

⇒V = (72000) e⁰°⁸¹⁶

⇒V = $162,823.39

Hence, the amount of money in account after 16 years will be $162,823.39.

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The probability that fewer than 2 students come to office hours on any given Monday is 0.70.

To find the probability that fewer than 2 students come to office hours on any given Monday, we need to calculate the sum of the probabilities of X=0 and X=1.

P(X < 2) = P(X = 0) + P(X = 1)

= 0.40 + 0.30

= 0.70

From the given probability distribution, we can see that the probability of X=0 is 0.40 and the probability of X=1 is 0.30. These represent the probabilities of no students or one student showing up for office hours, respectively.

To find the probability that fewer than 2 students come to office hours on any given Monday, we need to add these probabilities together since X can only take on integer values.

Therefore, P(X < 2) = P(X = 0) + P(X = 1) = 0.40 + 0.30 = 0.70.

This means that there is a 70% chance that either no students or one student will show up for office hours on any given Monday.

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The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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The given linear system, the eigenvalues and eigenvectors of the coefficient matrix are as follows: The eigenvalue is -3/5 + i/5 with the eigenvector (1, i). Thus, the real-valued solution to the initial value problem is y₁(t) = -10e^(-3t/5) + 15e^(it/5) and y₂(t) = 15e^(-3t/5) + 15ie^(it/5).

To find the real-valued solution to the initial value problem, we can use the eigenvalues and eigenvectors. The solution is y₁(t) = -10e^(-3t/5) + 15e^(it/5) and y₂(t) = 15e^(-3t/5) + 15ie^(it/5).

(a) To find the eigenvalues and eigenvectors, we start by solving the characteristic equation det(A - λI) = 0, where A is the coefficient matrix and λ is the eigenvalue. The coefficient matrix in this case is [[-3/5, -i/5], [5, 3]]. Solving the characteristic equation, we get (-3/5 - λ)(3 - λ) + 5i/5 = 0. Simplifying, we have λ² + (3/5 - 3/5i)λ + 14/5i = 0. Solving this quadratic equation gives us the eigenvalues λ = -3/5 + i/5 and λ = -3/5 - i/5.

Next, we find the eigenvectors corresponding to each eigenvalue. For the eigenvalue λ = -3/5 + i/5, we solve the equation (A - λI)v = 0, where v is the eigenvector. Substituting the eigenvalue and solving, we get (-3/5 + i/5)v₁ - (i/5)v₂ = 0. Simplifying, we find v₁ = i and v₂ = 1. Therefore, the eigenvector corresponding to λ = -3/5 + i/5 is (1, i).

(b) To find the real-valued solution to the initial value problem, we can express the solution in terms of the eigenvalues and eigenvectors. The general solution is given by y(t) = c₁e^(λ₁t)v₁ + c₂e^(λ₂t)v₂, where c₁ and c₂ are constants. Substituting the eigenvalues and eigenvectors, we have y₁(t) = c₁e^(-3t/5)(1) + c₂e^(it/5)(i) and y₂(t) = c₁e^(-3t/5)(i) + c₂e^(it/5)(1).

To find the real-valued solution, we use the initial conditions y₁(0) = -10 and y₂(0) = 15. Substituting t = 0 and solving, we get c₁ + c₂i = -10 and c₁i + c₂ = 15. Solving these equations simultaneously, we find c₁ = -10 and c₂ = 15i. Substituting these values back into the general solution, we obtain y₁(t) = -10e^(-3t/5) + 15e^(it/5) and y₂(t) = 15e^(-3t/5) + 15ie^(it/5). Thus, the real-valued solution to the initial value problem is y₁(t) = -10e^(-3t/5) + 15e^(it/5) and y₂(t) = 15e^(-3t/5) + 15ie^(it/5).

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Answer:

PT = 32

Step-by-step explanation:

From the question, we are told that:

T is the midpoint of PQ

This means:

PT = TQ

PT=3x+8 and TQ = 5x-8

Step 1

We solve for x

3x + 8 = 5x - 8

Collect like terms

8 + 8 = 5x - 3x

16 = 2x

x = 16/2

x = 8

Step 2

We can solve for PT now

PT=3x+8

x = 8

PT = 3×8 + 8

PT = 24 + 8

PT = 32

Therefore, PT = 32

You can use the given data to find the 5 information box plot needs to make and use the construction rule for box plot to select the best box plot among given options.

The box plot best representing the given observations is

Option B: Box plot with minimum value 9. 1, lower quartile 9. 2, median 9. 4, upper quartile 9. 7, and maximum value 9. 8

A box plot has 5 data description.

IQR(inter quartile range)  is the difference between third and first quartile.

The given data is

9.4, 9.2, 9.7, 9.8, 9.4, 9.7, 9.6, 9.3, 9.2, 9.1, 9.4

The sorted data in ascending order is

9.1, 9.2, 9.2, 9.3, 9.4, 9.4, 9.4, 9.6, 9.7, 9.7, 9.8

The mid value(6th here since there are 11 observations) is the median = 9.4

The minimum value is 9.1

The maximum value is 9.8

The first quartile is the average of the two mid values of the first 6 observation(it is because 6 is even, otherwise we'd've taken mid value)

It is (3rd value + 4th value)/2 =  9.25

The third quartile is the average of the two mid value of the last 6 observations.

It is (8th value + 9th value)/2 = (9.6 + 9.7)/2 = 9.65

The second option is best representing the given information compared to other options.

Thus,

The box plot best representing the given observations is

Option B: Box plot with minimum value 9. 1, lower quartile 9. 2, median 9. 4, upper quartile 9. 7, and maximum value 9. 8

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Answer:

Step-by-step explanation:

i tride but it will be helpful if you give me brainlits

Answer:

-27

Step-by-step explanation:

8x - 6 - 7y + 3

X = 3 Y = 6

8(3) - 6 - 7(6) + 3

8 x 3 = 24

7 x 6 = 42

24 - 6 - (42 + 3)

(24 - 6) - 45

18 - 45 = -27

In the domain of finance, an R-Squared value above 0.7 is typically seen as indicating a high level of correlation, whereas one below 0.4 indicates a low level of correlation.

A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.

The strength of the association is measured by the sample correlation coefficient, or r. The statistical significance of correlations is also examined.

For describing straightforward links between data, correlations are helpful. Consider a dataset of campgrounds in a park in the mountains as an illustration. You're interested in finding out if the height of the campsite—how high up the mountain it is—and the summer's typical high temperature are related.

Hence, In the domain of finance, an R-Squared value above 0.7 is typically seen as indicating a high level of correlation, whereas one below 0.4 indicates a low level of correlation.

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The probability mass function of X( -3, -1, 1 ,3)  is P(X) 1/8 3/8 3/8 1/8.

A fair coin is flipped 3 times and the random variable X is defined as follows:

   X = 3 times the number of heads - 2 times the number of tails

To find the probability mass function of X, we can list all the possible outcomes and calculate their probabilities.

The Possible outcomes are as shown:

   3 heads (X = 3)

   2 heads, 1 tail (X = 1)

   1 head, 2 tails (X = -1)

   3 tails (X = -3)

And the Probabilities are:

   P(X = 3) = 1/8

   P(X = 1) = 3/8

   P(X = -1) = 3/8

   P(X = -3) = 1/8

Therefore, the probability mass function of X is:

X( -3, -1, 1 ,3)  is  P(X) 1/8 3/8 3/8 1/8

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Answer:

The answer is no

Step-by-step explanation:

The answer is 600. 5 or more raise the score 4 or less let it rest.

To maximize the total area, all of the wire should go to the square. To minimize the total area, the wire should be divided into two equal pieces, each of length 12.5 m.

(a) To maximize the total area enclosed by both figures, all of the wire should go to the square. This is because a square has the largest area of any quadrilateral with a given perimeter.

(b) To minimize the total area enclosed by both figures, all of the wire should go to the circle. This is because a circle has the smallest area of any shape with a given perimeter.

However, if we are only allowed to use the wire to make a square and a circle, then the minimum area is achieved when the wire is divided into two equal pieces, each of length 12.5 m. This is because the area of a square is proportional to the square of its side length, while the area of a circle is proportional to the square of its radius. Therefore, the total area is minimized when the square and the circle have the same area.

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1.5 x 10⁵

We use scientific notation to write huge ( or micro ) numbers as easily as possible. To do that, we use the following notation: a x 10ᵇ

Take 150,000, and put a decimal right between the 1 and 5, like so:

1.50000

Now simply count the numbers after the decimal:

1 . 5 0 0 0 0

    1  2 3 4 5

That's five places, or numbers, after the decimal, and now we can use the notion mention earlier, a x 10ᵇ

So a = 1.5 and b = 5, and now we can combine the whole thing, so 1.5 x 10⁵

We can double check if needed/desired by doing the following

10⁵ = 100,000 x 1.5 = 150,000

150000 is 1.5×10⁵ in scientific notation.

Scientific notation is a form of expressing large no. in compact form where the base (digit before the decimal) should be 1≤base<10.There after we multiply the base with powers of 10 to how much digits we have moved the decimal from rightmost side.

According to the given question

Asher is involved in a competition where the grand prize is 150000 dollars.

We have to express this in scientific notation.

150000 = 1.5×10⁵

What we did here is we placed a decimal 5 digits to the left and therefore raised it to the power of 10.

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