A number is divided by 5.

The value of x is 7 in the equation ∛x+1 - 2 =0

Two or more expressions with an Equal sign is called as Equation.

The given equation is ∛x+1 - 2 =0

The first step is to figure out what the equation is. When unconventional math symbols are used, and when there are no grouping symbols identifying operands, that can be the most difficult step

∛x+1 - 2 =0

Add 2 on both the sides

∛x+1  = 2

Take cube on both the sides

x+1=2³

x+1=8

Subtract 1 from both sides

x=7

Hence, the value of x is 7 in the equation ∛x+1 - 2 =0

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Numer of liters of soda in one bottle: 12

Number of bottles: 12

To calculate how much soda does Henry have in total, we need to multiply the number of bottles and the number of liters in each bottle:

Total_soda = 12*12 = 144 liters

Henry has 144 liters of soda

Multicollinearity is indeed a problem in statistical analysis, regardless of whether you are aware of its existence or not. Multicollinearity refers to a high correlation between two or more predictor variables in a regression model.

It can cause issues such as unstable coefficient estimates, difficulty in interpreting the individual effects of predictors, and increased uncertainty in the model's predictions.Even if you are aware of multicollinearity, it doesn't eliminate the problem itself. While awareness can help you be cautious about the interpretation of the coefficients and take appropriate steps, such as examining variance inflation factors (VIF) or using regularization techniques, it does not eliminate the inherent issues caused by multicollinearity.

Therefore, it is important to address multicollinearity in your analysis through methods like removing redundant variables, transforming variables, or using dimensionality reduction techniques to mitigate its impact on the model's results and reliability.

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Answer:

Step-by-step explanation:

57.6

Answer:

naygas

Step-by-step explanation:

awdwadjhwyajsdudjHASGVJX wvjbhdaes,cvmdjh,bkn,cdblajnkcdbvhjksnam ,bchbdjkns.a d,cbjhkna.djbc

answer: B

Let the triangle be ABC, and where the medians AD and BE intersect be M.

The three medians intersect at the centroid, and divide each other in the ratio 1:2

That means that AM = BM and the triangle ABM is isosceles.

Answer: y= -2x+9

Step-by-step explanation:

m is the increase each time the x axis goes up one

We can see that it goes down 2 every time so the m value is -2

the b value is the number when the x axis is at 0, we can see on the y axis this number is 9

The equation is:

y = -2x + 9

Work and explanation:

We should first find the slope of the graphed line.

Remember that :

\(\boldsymbol{m=\dfrac{rise}{run}}\)

rise = how many units we move up/down the y axis

run = how far we move on the x axis

The given slope goes "down 2, over 1" so:

That makes the slope:

\(\boldsymbol{m=-\dfrac{2}{1}}\)

If simplified, it gives us -2. So we have figured out the slope, m. Now, to figure out the y intercept, we should look at where the graphed line intercepts the y axis. This happens at (0, 9).

The y intercept is the second number; therefore the y intercept is 9.

Therefore, the equation is y = -2x + 9.

Answer:

A = 2(7) + (1/2)(4)(4 + 9) = 14 + 26 = 40 m²

Answer:

94.8

Step-by-step explanation:

sin 45 = 67/x

x = 67/sin 45

x = 94.8

Step-by-step explanation:

-3+-7

+×-=-

-3-7=-10

-10

Answer:

-10

Step-by-step explanation:

-3 + - 7 = - 10

When you have 2 numbers with the same sign, you add them together and carry the sign over.

Example

-4 + -9   just add 4 and 9, which is 13, and carry the sign over (which is a -) so

-4 + -9 = -13

Another example

4 + 9  add the 4 and the 9, which, again, is 13, and carry the sign over (which is a +) so

4 + 9 = 13

It's different if you are mixing signs in a problem.

Example:

4 + -9 = ?  In this case we can re-write it as 4 - 9, since 9 is larger than 4 we know the answer will be negative. So, we can switch it, to make it easy and take -9 + 4 now it's easier to see the answer is -5.  

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Answer:

QV = 36 UNITS

Step-by-step explanation:

Centroid of a triangle divides the median in the ratio 2 : 1.

QU is the median and V is Centroid. Therefore,

QV : VU = 2 : 1

Let QV = 2x & VU = x

QV + VU = QU

2x + x = 54

3x = 54

x = 54/3

x = 18

QV = 2x = 2*18 = 36

Answer:

3:5 mm

Step-by-step explanation:

2 cm = 20 mm. the answer will be 12:20 simplified will be 6:10 that simplified will be 3:5. so yeah

0.8458 rounded to the nearest tenth is 0.8 given cos is 0.696706709347

The regression linear function, in slope-intercept form, is given by:

y = -0.07x + 14.5

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

(0, 14.7), (1, 14.5), (2, 14.4), (3, 14.1), (4, 14), (5, 14.1), (6, 14.1), (7, 14.2), (8, 14), (9, 13.8), (10, 14).

Inserting these points into a calculator, the regression linear function, in slope-intercept form, is given by:

y = -0.07x + 14.5

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Answer:

y = -0.07x + 14.5

Step-by-step explanation:

Answer:

f(3) = -16

Step-by-step explanation:

f(3) for f(x) = -2(x + 5)

f(3) = -2(3 + 5)

f(3) = -2(8)

f(3) = -16

Answer:

B

Step-by-step explanation:

Basically, this question is asking the legs of the triangle shown in the graph.

In this right triangle, there are 2 legs and one of them is 6400 meters. We were asked to find out the length of the other led. And we know the angle is 16.5 deg.

Using Tangent  to find out:

set the length of the other leg is x meters.

tan(16.5) = 6400/x

x= 6400/tan(16.5)

x= 21606 m

To solve this problem, we can use the binomial distribution formula, which calculates the probability of a certain number of successes (in this case, business travelers who say their reason for the trip was an internal company visit) out of a given number of trials (950 business travelers). The formula is:
P(x) = (n choose x) * p^x * (1-p)^(n-x)

Where:
- P(x) is the probability of getting x successes
- n is the number of trials (950 business travelers)
- x is the number of successes we're interested in (between 133 and 171)
- p is the probability of success (19% or 0.19)

To find the probability that between 133 and 171 business travelers say their reason for the trip was an internal company visit, we need to calculate the sum of the probabilities of getting 133, 134, 135,..., 170, 171 successes. This can be quite tedious to do by hand, but fortunately, we can use a calculator or a statistical software program to do it for us.

Assuming that we use a calculator or software, we can find that the probability of getting between 133 and 171 business travelers who say their reason for the trip was an internal company visit is approximately 0.919. This means that out of three random paragraphs of this length, it's likely that one would show the probability of the business travelers who say their reason for the trip was an internal company visit to be between 133 and 171.

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Marginal relative frequency of customers liking hamburgers is 53.66%, calculated by dividing 110 customers by 205, resulting in a value of 0.5366.

To find the marginal relative frequency of all customers that like hamburgers, we need to divide the number of customers who like hamburgers by the total number of customers.

According to the given data, there are 110 people who like hamburgers out of a total of 205 people.

Marginal relative frequency of customers who like hamburgers = (Number of customers who like hamburgers) / (Total number of customers)
= 110 / 205

To calculate the exact value, we divide 110 by 205:
Marginal relative frequency of customers who like hamburgers = 0.5366

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 0.5366 or 53.66%.

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Answer:

Step-by-step explanation:

Correct option is the last one

Answer:

D) 125x²¹- 64y³  

Step-by-step explanation:

A) x⁶ + 27y⁹ = (x²)³ + (3y³)³  - sum of cubes

B) 3x⁹ - 64y³ - the first term is not a cube

C) 27x¹⁵ - 9y³ - the second term is not a cube

D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes

Correct option is the last one

Answer:

7 and 8

Step-by-step explanation:

Given

Let the consecutive numbers be: \(x, x + 1\)

Such that the relationship between the two numbers is:

\(5 x = 3 + 4(x + 1)\) --- from the question

Required

Find the numbers

We have:

\(5 x = 3 + 4(x + 1)\)

Open bracket

\(5x = 3 + 4x + 4\)

Collect like terms

\(5x - 4x = 3 + 4\)

\(x = 7\)

So, the consecutive numbers are: 7 and 8

Answer:

2:7

Step-by-step explanation:

4 sea turtles:14 seals = 2 sea turtles:7seals

Each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.Option B,E,F.

Each chart has the following three components:

1. B. A center line representing the average: This line is drawn to show the average value or mean of the data being analyzed. It provides a reference point to compare the data points above and below it.

2. E. An upper line representing the maximum acceptable variation upwards: This line is drawn to indicate the upper limit of acceptable variation or deviation from the average. It helps identify if the data points exceed the acceptable range.

3. F. A lower line representing the maximum acceptable variation downwards: This line is drawn to indicate the lower limit of acceptable variation or deviation from the average. It helps identify if the data points fall below the acceptable range.

These three components together create a control chart, which is a graphical representation used in statistical process control. Control charts help monitor and analyze data over time, allowing organizations to identify trends, detect abnormalities, and make data-driven decisions to improve processes and quality.

In summary, each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.

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The total area of the figure in this problem is given as follows:

41.3 ft².

The area of the composite figure is given by the sum of the areas of all the parts that compose the figure.

The figure in this problem is composed as follows:

Then the area of the triangle is given as follows:

At = 0.5 x 6 x 3 = 9 ft².

The area of the semicircle is given as follows:

Ac = π x 3² = 28.3 ft².

The area of the square is given as follows:

As = 2² = 4 ft².

Then the total area of the figure is given as follows:

9 + 28.3 + 4 = 41.3 ft².

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\(1.) -4\\2.) 2\\3.) -3\\4.) 2\\5.) 4\\6.) -5\\7.) -5\\8.) -17\\9.) -13\\10.) 2\\11.) -1\\12.) 0\\13.) -1\\14.) 7\\15.) -9\\16.) 9\\17.)2\\18.) 0 \\19.) -1\\20.)12\\21.) -3\\22.)1\\23.) 6\\24.)5\\25.)1 \\26.)-11\\27.)-1\\28.)0\\29.)-9\\30.)5\\31.)4\\32.) 6\\33.) 2\\34.) 6\\35.)4\\36.) -4\\37.)-6\\38.)-5\\39.) -5\\40.)8\\\)

Answer:

Hi! The answer to your question is 2x + 12

Step-by-step explanation:

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The equation representing vertical stretching of y = x³ by a factor of 4, will be y = 4x³.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The function y = x³, and we need to b it vertically by a factor of 4. So, this can be simply done by multiplying the function (x³) by 4.

Therefore, the b representing vertical stretching of y = x³ by a factor of 4, will be y = 4x³.

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The equation y = x³ with a vertical stretched by a factor of 4 is y = x³ + 4.

Option A is the correct answer.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

y = x³

Vertically stretched by a factor of 4 means,

y = x³ + 4

Thus,

y = x³ + 4 is the equation.

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The  expression that can be considered as been equivalent to 3/4-2/5 is 15/20-8/20.

The  equivalent expression be gotten by finding the values of the given answer one after the other, from the given option, we can see that the value of the difference in the given expression is 0.35, then the value option A is also 0.35 which implies that the option A as well as the given expression have the same value.

It should be noted that the option A can as well be simplified as still get the vale of the given option.

Therefore, option A is correct.

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