Solve the system of equations. 2.5y + 3x = 27 5x – 2.5y = 5 What equation is the result of adding the two equations? What is the solution to the system?

Answer:

8+2i

Step-by-step explanation:

Combine like terms

3+5=8

4i-2i=2i

Answer: 8 + 2i

Step-by-step explanation:

1) Rewrite the two complex numbers in standard form: (3 + 4i) + (5 − 2i) = 3 + 5 + 4i - 2i = 3 + 5 + 2i

2) Add the real parts and the imaginary parts separately: Real parts: 3 + 5 = 8 Imaginary parts: 2i + (-2i) = 0

3) Put the results in standard form: 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 2i

C = 81.68 to 2 decimal place

C= pi x diameter

= pi x 26

= 26 pi

= 81.6814.....

13 x 2 =26

Hope this helps!

False. In a linear multiple regression model, the y-intercept represents the value of the response variable (y) when all predictors are set to zero, except for the constant term.

The y-intercept is the value of y when the predictors have no influence or impact on the response variable.

However, it is not accurate to say that the y-intercept is the value of the response variable when both x1 and x2 are set to zero. The reason is that the y-intercept is specifically determined by the constant term in the regression model, and it does not directly depend on the values of the predictors.

To understand this further, let's consider the general form of a linear multiple regression model:

y = β0 + β1x1 + β2x2 + ε

In this equation, y represents the response variable, x1 and x2 are the predictors, β0 is the y-intercept or constant term, β1 and β2 are the coefficients associated with x1 and x2, and ε is the error term.

The y-intercept (β0) is the value of y when both x1 and x2 are set to zero. However, it does not imply that the value of y remains constant when both predictors are set to zero. The impact of x1 and x2 on the response variable y is determined by the corresponding coefficients β1 and β2.

In a linear regression model, the coefficients β1 and β2 represent the change in the response variable for each unit change in the respective predictor, assuming all other predictors are held constant. Therefore, the values of x1 and x2 determine the contribution of each predictor to the overall value of y.

Setting both x1 and x2 to zero does not eliminate the influence of the predictors on the response variable. It only removes the linear contribution from x1 and x2, but the constant term β0, which represents the y-intercept, still affects the value of y.

To summarize, the y-intercept in a linear multiple regression model does not represent the value of the response variable when both predictors x1 and x2 are set to zero. It represents the value of y when all predictors are set to zero, excluding the constant term. The y-intercept indicates the starting point of the regression line, but it does not imply that the response variable remains constant when the predictors are set to zero.

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Answer:

13mn

Step-by-step explanation:

(10mn-5m+3n)+(mn-5m-3n)+(mn+9m+4n)

8mn+(-8mn)+13mn

=13mn

that's the answer I think

The probability that Eli's playlist will still be playing at 11 p.m. is approximately 0, indicating it's very unlikely for the playlist to be still playing at that time.

To find the probability that Eli's playlist will still be playing at 11 p.m., we need to calculate the cumulative probability up to 11 p.m. based on the average length and standard deviation of the songs.

First, let's convert the given time into minutes for easier calculation. 11 p.m. is 60 minutes after 9:50 p.m., so it corresponds to 70 minutes.

Next, we need to calculate the mean (average) length of a song in minutes. The average length in seconds is given as 197 seconds, so we divide it by 60 to get the average length in minutes:

Mean (μ) = 197 seconds / 60 = 3.28 minutes

The standard deviation (σ) is given as 33 seconds, which also needs to be converted to minutes:

Standard Deviation (σ) = 33 seconds / 60 = 0.55 minutes

Now, we can use these values to calculate the probability using the Normal distribution.

We want to find P(X > 70), where X represents the length of a song.

Using the Z-score formula:

Z = (X - μ) / σ

where Z is the standard score or Z-score, X is the value we're interested in, μ is the mean, and σ is the standard deviation.

Plugging in the values:

Z = (70 - 3.28) / 0.55 ≈ 126.87

To find the probability, we need to calculate the area under the curve to the right of the Z-score. We can use a Z-table or a calculator to find this value.

Assuming a standard normal distribution, the probability can be calculated as follows:

P(Z > 126.87) = 1 - P(Z < 126.87)

Using a Z-table or a calculator, we can find that P(Z < 126.87) is virtually 1 (it's extremely close to 1), so:

P(Z > 126.87) ≈ 1 - 1 ≈ 0

Therefore, the probability that Eli's playlist will still be playing at 11 p.m. is approximately 0, indicating it's very unlikely for the playlist to be still playing at that time.

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Answer:

See Below :)

Step-by-step explanation:

Area of triangle: 1/2(3)(4) = 6 square units

Area of rectangle: (3)(3) = 9 square units

Total area: 9 + 6 = 15 square units

Answer:

area of square= 9 (3 times 3)

area of triangle= 6 (4 times 3 divided by 2)

area of figure= 15 (9+6)

Answer:

y=-x+5

Step-by-step explanation:

Hope this helps!

And can I have brainliest!

Answer:

AB, BC and AC.

Step-by-step explanation:

The length of a side of a triangle is proportional to the angle across it.

Here the order of angles are, from smallest to largest, C, A and B.

The corresponding order of lengths (of the opposite sides) are therefore:

AB, BC and AC.

Answer:

119 minutes

Step-by-step explanation:

First let's get rid of the starting fee of $2

\(16.28 - 2 = 14.28\)

Then divide 14.28 by 0.12 ($14.28 ÷ $0.12)

\(14.28\) ÷ \(0.12 = 119\)

Thus Dante rode the scooter for 119 minutes

The number of minutes that Dante rode the scooter will be 119 minutes.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

For a ride on a rental scooter, Dante paid a $2 fee to start the scooter plus 12 cents per minute of the ride.

Let x be the number of minutes and y be the total amount.

y = 0.12x + 2

The total bill for Dante's ride was $16.28. Then the number of minutes that Dante rode the scooter will be

16.28 = 0.12x + 2

14.28 = 0.12x

x = 119 minutes

The number of minutes that Dante rode the scooter will be 119 minutes.

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Answer:

The numbers are 37 and 38.

Step-by-step explanation:

Forming the equation,

→ x + (x + 1) = 75

→ 2x + 1 = 75

Now the value of x will be,

→ 2x + 1 = 75

→ 2x = 75 - 1

→ x = 74/2

→ [ x = 37 ]

The another number will be,

→ x + 1

→ 37 + 1 = 38

Hence, numbers are 37, 38.

To dilate a circle by a determined scale factor k you have to work on the standard equation of the circle

You have to multiply the radius by the squared scale factor:

So, if do example you want to dilate a circle by a scale factor 3, you have to multiply the radius by the square of 3

The formula of the circle dilated by k=3 is

The probability that it is a hardcover or a reference book  will be 0.37. in other words, the probability is the number that shows the happening of the event.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes,

Event H; Selected base is hardcover

Reselected book is a reference book

P(H) = 0.28

P(R) = 0.22

P(H∩R)=0.13

The probability that it is a hardcover or a reference book;

P(H∪R)=P(H)+P(R)-P(H∩R)

P(H∪R)=0.28+0.22-0.13

P(H∪R)=0.37

Hence, the probability that it is a hardcover or a reference book will be 0.37.

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To calculate the excess reserves of the bank after the customer's deposit, we first need to determine the required reserves.

Required Reserves = Checkable Deposits * Required Reserve Ratio

Required Reserves = $10,101 * 0.08

Required Reserves = $808.08

Next, we can calculate the excess reserves:

Excess Reserves = Reserves - Required Reserves

Excess Reserves = $1,205 - $808.08

Excess Reserves = $396.92

Therefore, the bank's excess reserves after the customer's deposit are approximately $396.92. None of the provided options ($580.92, $544.44, $415.32, $401.11) match this value.

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Answer:

B equals 8

Step-by-step explanation:

Because it says so.

Answer:

a=b

Step-by-step explanation:

using the substitution property of equality, since both a and b equal 8 you can determine that they are equal to each other

The result of the expression as a mixed fraction is -1 5/12

Given the expression

\(1\frac{1}{2}+\frac{3}{4}\div (-\frac{1}{3} ) -\frac{2}{3}\)

Write as an improper fraction

\(\frac{3}{2}+\frac{3}{4}\div (-\frac{1}{3} ) -\frac{2}{3}\)

Using the PEDMAS rule;

\(=\frac{3}{2}+(\frac{3}{4}\div (-\frac{1}{3} )) -\frac{2}{3}\\=\frac{3}{2}+(\frac{3}{4}\times -3) -\frac{2}{3}\\=\frac{3}{2}-(\frac{9}{4}) -\frac{2}{3}\\\)

Find the LCM of the result

\(=\frac{18-27-8}{12}\\= \frac{-17}{12}\\= -1\frac{5}{12}\)

Hence the result of the expression as a mixed fraction is -1 5/12

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Answer:

the answer to that question is 152.5%

Step by Step Explanation:

(404 - 160)/|160| =

244/160 =

244 ÷ 160 =

244 ÷ 160 × 100/100 =

(244 × 100 ÷ 160)/100 =

(24,400 ÷ 160)/100 =

152.5/100 =

152.5%

Answer:

There is only 1 solution where x is greater than 3 that is on the line and that is where the line Crosse where x is 4.

Step-by-step explanation:

p(x>3) = p(x= 5) - p(x= 3)

= (Area of ∆ from x= 0 to x= 5)- (Area of ∆ from x= 0 to x= 3)

=[ 1/2•(5-0)•0.4] -[1/2•(3-0)• 0.4)]

= 1/2•0.4(5-3)

p(x>3) = 0.4

The basic unit of mass of the ball in the metric system is the gram.

The base units of length (distance), capacity (volume), and weight (mass) in the metric system are the meter, liter, and gram, respectively. We utilize units that are derived from metric units to measure smaller or greater quantities.

Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull to other bodies is also influenced by its mass.

Therefore, the basic unit of mass of the ball in the metric system is the gram.

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Answer:

x = 31, x = 19

Step-by-step explanation:

\((x-25)^2=36\\\sqrt{(x-25)^2}=\sqrt{36}\\x-25=6 or -6\\\\x-25=6\\x=31\\\\x-25=-6\\x=19\)

Answer:

the correct answer is 27%

Answer:

27%

Step-by-step explanation:

to find percent use

8 x

----- × -----

30 100

then cross multiply 8 & 100 to get 800

divide 800 by 30 to get 26.6 repeating

then im assuming you round.

Answer:

Step-by-step explanation:

do I

SOLUTION

We want to find which of the following values make the inequality

x ≤ 16.3 to be true.

This inequality means that x is equal to 16.3 or less than 16.3. So the numbers that fall under this are numbers smaller than 16.3 and also 16.3.

The numbers that fall under here are 8, 1/4, -3 and 16.3

Hence the answer b, c, e and f

Your answer will be X = 11 over 2, if that's a 2 over 5 in the beginning of the problem

Answer:

Option 4

Step-by-step explanation:

Each x-value corresponds to only one y-value

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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