for each integer $n$ greater than $1$, let $f(n)$ be the number of solutions of the equation $\sin x

Answer: 4992

Step-by-step explanation:

same, but whenever it talks about "lenghth and with" it is multiplying

hope this helps :)

The slope of the regression line represents the amount of change in the dependent variable for every unit increase in the independent variable . For every dollar increase in the hotel room rate, the amount spent on entertainment increases by the value of the slope.

The slope of the regression line represents the amount of change in the dependent variable (in this case, the amount spent on entertainment) for every unit increase in the independent variable (the hotel room rate). If the slope is positive, then as the independent variable increases, so does the dependent variable. If the slope is negative, then as the independent variable increases, the dependent variable decreases.

For example, if the slope of the regression line is 0.5, then for every dollar increase in the hotel room rate, the amount spent on entertainment would increase by 50 cents. However, without knowing the slope of the regression line and the specific dollar increase in the hotel room rate, it is impossible to accurately answer the question.

The slope of the estimated regression line represents the relationship between two variables, in this case, the hotel room rate and the amount spent on entertainment. When the slope is positive, it indicates that as one variable increases, the other variable also increases.

Therefore, for every dollar increase in the hotel room rate, the amount spent on entertainment increases by the value of the slope. For example, if the slope is 0.5, it means that for every $1 increase in the hotel room rate, the amount spent on entertainment increases by $0.5.

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Answer:

2÷ 1/3 =6

3 ÷1/2=6

4÷2/3=6

4 ÷1/2=8

12÷3/2=8

Step-by-step explanation:

Hope this helps!

Answer:

I have this homework as well and the correct answer is 1.67

Step-by-step explanation:

The distance between leg for a 5 inch wide robot is 5/3 inches .

Given the relation between width and distance between legs :

Hence, for every 1 inch width , distance between leg is :

Therefore, For 5 inch width ;

Therefore, the distance between leg for a 5 inch wide robot is 5/3 inches .

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1. (A)  Section titles  (lines starting with %% followed by a space and then a title).

2. (B)  Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

The source of the section headers in the resulting document when publishing a script from the MATLAB Editor is:

a. Section titles (lines starting with %% followed by a space and then a title).

The statement that is not true about the purpose of code in the MATLAB Editor is:

b. Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. The commands that return a matrix of the same size as x, given a non-scalar matrix X, are:

a. mean(x)

b. sin(x)

c. log(x)

d. sum(x)

e. std(x)

f. sqrt(x)

All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

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Answer:

c and d

Step-by-step explanation:

asymptote y=0

y intercept (0,1)

Promotion 50√2 (or about 70.7) coupons need to be sent in order to get 100 customers to make a purchase.

The given problem states that around 80% of customers who receive a promotion coupon will visit the store. But only 20% of those in the store will make a purchase.

The problem asks us to determine how many promotion coupons have to be sent in order to get 100 customers to make a purchase.

Therefore, let the number of coupons to be sent be x.

Then, 80% of x people will visit the store. Therefore, the number of people who will visit the store is

(80/100)x or (4/5)x people.

However, only 20% of those in the store will make a purchase.

Therefore, the number of customers who make a purchase is (20/100) x (4/5)x = (1/25)x² customers.

We need to find x such that (1/25)x² = 100.

Therefore, x² = 25 × 100. Hence, x = √2500 or x = 50√2.

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Answer:

A.

Step-by-step explanation:

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

1b 2a 3c

Step-by-step explanation:

Its hegarty right?

Answer: 3/2

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that Y'X'=3 and YX=2, so the scale factor is 3/2.

Answer:

the answer is 35

Step-by-step explanation:

7(5)=35

Answer:

35

Step-by-step explanation:

When a variable is next to a number it means you are doing multiplication, like 7xm. So if m=5 it would be 7x5. And 7x5= 35

7m  (m=5)

=7xm

=7x5

=35

Answer:

The dimensions are 3, 4 and 5 inches.

Step-by-step explanation:

Area = 1/2 * height * base

6 = 1/2 * h * b

h * b = 12.

As the hypotenuse is 5 inches long

H^2 + B^2 = 5^2

From the third line: h = 12/b, so we have
(12/b)^2 + b^2 = 25

144/b^2 + b^2 = 25

144 + b^4 = 25b^2

b^4 - 25b^2 + 144 = 0

Let B = b^2, so

B^2 - 25B + 144 = 0

(B - 16)(B - 9) = 0

B = 16, 9

So, b = 4, 3

h = 12/b

= 3 , 4.

The reflection across the y-axis of a straight line gives an image that have

the same y-intercept as the preimage.

Reasons:

The given coordinate of two points on the line are;

(-2, 5) and (0, 2)

The line about which the line l is reflected is the line k

The coordinates of the image of the point (x, y) following a reflection about

the y-axis is the point (-x, y).

Therefore, the coordinates of the points on the line k are;

(-2, 5) \(\underset {\longrightarrow } {r_{y-axis}}\) (2, 5)

(0, 2) \(\underset {\longrightarrow } {r_{y-axis}}\) (-0, 2) = (0, 2)

The slope of the line is therefore; \(\dfrac{5 - 2}{2 - 0} = 1.5\)

The equation of the line is therefore; y - 2 = 1.5·(x - 0) = 1.5·x

Which gives;

The equation that represents the line k is y = 1.5·x + 2

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Answer:

B 24 million years old

Step-by-step explanation:

i did this quiz a long time ago tho so it might be B or D

Answer:

24 combinations

Step-by-step explanation:

For this problem, you use factorials. Factorials are when you multiply every number below it except zero. So like the factorial of 3 or 3! is 3*2*1 is 6.

Factorials are used to figure out how many combinations there are of something. So for you, we have 4 different quadrants so we write that as 4! (! is the sign for factorials.)

By the way, welcome to brainly.  

Answer: 1)2x=4 -> 4/2 = 2 so x=2

2) y=0

3) x=3

4) 2y + (3*3y) = -15

11y=-15

y = -15/11

5) 4x + 7x + 63 = 19

11x = -44

x = -4

Step-by-step explanation:

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Question 1

You probably agree that it's fairly obvious that the stack on the right is slanted, while the stack on the left is straight up and down (more or less).

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

Question 2

The stack on the left resembles a cylinder. It might help to wrap the coins in a paper casing to better see this.

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

Question 3

The heights of each stack appears to be the same. This is assuming both stacks have the same number and type of coins.  

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

Question 4

The two stacks have the same volume. This may seem a bit strange, but if both stacks have the same number and type of coins, then each of the individual coins has the same volume. When put together, the overall 3D solids will have the same volume as well. It doesn't matter if we slanted one of the stacks or not.

Using binomial probability, the probability of having exactly 4 dice on 4, 5 or 6 is 5/32.

Using binomial probability, we can calculate the probability that out of the 5 dice thrown, the probability of having exactly 4 dice on 4, 5 or 6 can be calculated as;

\(P(X=k) = C(n, k) * p^k * (1-p)^(^n^-^k^)\)

In the given data;

n = 5

k = 4

p = 3/6 = 1/2

Using the binomial probability formula, we can calculate:

P(X=4) = C(5, 4) * (1/2)⁴ * (1 - 1/2)⁵⁻⁴

P(X=4) = 5 * (1/2)⁴ * (1/2)¹

P(X=4) = 5 * (1/16) * (1/2)

P(X=4) = 5/32

Therefore, the probability that exactly 4 dice land on a 4, 5, or 6 when rolling five fair dice is 5/32.

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Standardized scores, also known as z-scores, allow us to compare and analyze data from different sources, scales, and units of measurement. They provide a common metric for comparing individual scores to the distribution of scores for a given population, making it easier to interpret and compare data.

Z-scores indicate the number of standard deviations that a particular score falls above or below the mean of a distribution.

A z-score of 0 represents a score that is exactly at the mean of the distribution, while a z-score of +1 represents a score that is one standard deviation above the mean, and a z-score of -1 represents a score that is one standard deviation below the mean.

Standardized scores allow us to:

Compare scores from different populations:

Z-scores make it possible to compare scores from different populations with different means and standard deviations.

This makes it easier to analyze data from multiple sources and to draw meaningful conclusions.

Identify outliers:

By using z-scores, we can identify scores that are significantly higher or lower than the rest of the distribution.

This can help to identify potential outliers or anomalies in the data.

Calculate percentiles:

Z-scores can be used to calculate percentiles, which indicate the percentage of scores that fall below a particular score.

A z-score of +1.5 represents a score that is higher than 93.32% of the scores in the distribution.

Standardize data:

By converting raw scores to z-scores, we can standardize the data, making it easier to compare scores and draw meaningful conclusions.

Standardized scores (z-scores) provide a powerful tool for analyzing and interpreting data in a way that is consistent and meaningful.

To compare scores from different populations, identify outliers, calculate percentiles, and standardize data.

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X = 7  divid both sides

8x = 56

8x/8 and 56/8 .





Company 2 created 6 new products.

Let:

T=Total of new products.

Q1=Quantity of products created by the company 1

Q2=Quantity of products created by the company 2

The problem tell us Company 1 created 3 times as many products as Company 2, so mathematically:

Q1=3Q2

The total of new products is:

T=Q1+Q2

Since Q1=3Q2:

T=Q2+3Q2

T=4Q2

24=4Q2

Solving for Q2:

Q2=24/4

Q2=6

And the Quantity of products created by the company 1 would be:

T=Q1+Q2

Solving for Q1:

Q1=T-Q2

Q1=24-6

Q1=18

Answer:

Side 3 is:  5x^3 - 4x^2 +3x - 12

Note that the answer options do not include this result, but it is likely that the second option is simply missing the square term for the -4x, and it should read -4x^2.

Step-by-step explanation:

The perimeter is the sum of all three sides.  To find Side 3, subtract Sides 1 and 2 from the perimeter:

5x^3 - 2x^2 +3x - 8 - (3x^2-4x-1) - (4x-x^2+5)      = Side 3

  Perimeter             -      Side 1    -     Side 2        = Side 3

5x^3 - 2x^2 +3x - 8 - 3x^2+4x+1 - 4x+x^2-5        [Remove parentheses]

5x^3 - 3x^2 +x^2 - 2x^2 +3x +4x - 4x - 8 +1 -5     [Combine like terms]

5x^3 - 4x^2 +3x - 12                       [Simplify]       = Side 3

Total 12 gallons of fuel was burned

What is the relation between Time, Spped and Diatnce?

The formula speed distance time is used to describe the connection between speed, distance, and time. That is, speed = distance / time. To put it another way, distance divided by speed equals time. You can figure out the third input if you know the first two.

Solution:

10 gallons fuel is burned per hour

Distance Travelled by the Plane = 120 nautical miles

Speed of the Plane = 100 nautical miles per hours

Time = Distance / Speed

Time = 120 / 100 = 1.2 hours

Since 10 gallons of fuel is burned every hour, so total fuel burned in 1.2 hours is 12 gallons

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Answer:

Infinite solutions

Step-by-step explanation:

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

The value of the \(z\) is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

It can be given as,

\(\dfrac{\sin A}{a} =\dfrac{\sin B}{b} =\dfrac{\sin C}{c}\)

Here \(A,B,C\) are the angle of the triangle and \(a,b,c\) are the sides of that triangle.

Given information-

The triangle for the given problem is attached below.

In the triangle the base of the triangle is 2.6 units long.

The sine law for the given triangle can be written as,

\(\dfrac{\sin X}{x} =\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}\)

As the value of \(y\) side is known and the value of \(z\) has to be find. Thus use

\(\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}\)

Put the values,

\(\dfrac{\sin 51}{2.6} =\dfrac{\sin 76}{z}\)

Solve it for the \(z\),

\(z=\dfrac{\sin 76\times 2.6}{\sin 51}\\z=3.2462\)

Hence the value of the \(z\) is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

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Pull out a factor of 1/n from the summand and the result follows.

\(\displaystyle \lim_{n\to\infty} \sum_{i=1}^n \frac{i^4}{n^5} = \lim_{n\to\infty} \frac1n \sum_{i=1}^n \left(\frac in\right)^4 = \boxed{\int_0^1 x^4 \, dx}\)

Answer:

363

Step-by-step explanation:

550+240+300=1,090 1,090÷3=363.3