Graph step by step:
f(x)=-2x+1

A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.

This version is also referred to as zero-intercept regression or homogeneous regression.

It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.

The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.

However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.

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Answer:

False

Step-by-step explanation:

Since a triangle must contain 3 interior angles all adding to 180°, then there can't be more than one right angle since 2 right angles would add up to 180°.

Answer: 68.82

Step-by-step explanation:

74 * (1- 7%) and solve

= 68.82

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equations are given below.

6x = 52 - 2y

6x + 2y = 52

3x + y = 26                   ...1

5x + 7y = 70

(5/7)x + y = 10              ...2

Subtraction equation 2 from equation 1, then we have

3x - (5/7)x = 26 - 10

(16/7)x = 16

x = 7

Then the value of 'y' is given as,

3(7) + y = 26

21 + y = 26

y = 5

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

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Answer:

b=14800

c=12700

Answer:

There is no sufficient evidence to support  the claim that the boards are either too long or too short

Step-by-step explanation:

From the question we are told that

   The  population mean is \(\mu = 2599.0\)

    The sample size is  \(n = 23\)

     The  sample mean is  \(\= x = 2600.3 \ mm\)

    The  standard deviation is  \(\sigma = 13.0\)

     The  level of significance is  \(\alpha = 0.05\)

The  null hypothesis  is  \(H_o : \mu = 2599.0\)

  The  alternative  hypothesis is \(H_a : \mu \ne 2599.0\)

Generally the test statistics is mathematically represented as

            \(t = \frac{ \= x - \mu }{ \frac{\sigma}{ \sqrt{n} } }\)

=>          \(t = \frac{ 2600.3 - 2599.0 }{ \frac{13}{ \sqrt{ 23} } }\)

=>            \(t = 0.3689\)

Now from the normal distribution table  the critical value  of  \(\alpha\) is  

    \(Z_{\alpha } = 1.645\)

Hence from the evaluated and obtained value we see that

    \(t < Z_{\alpha }\)

Hence we fail to reject the null hypothesis  

  Thus we can conclude that there is no sufficient evidence to support  the claim that the boards are either too long or too short

Answer:

2 times

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

8 x 4 = 32 total coins

32÷8 = 4

Therefore, there are 4 times as many coins as people.

Hope this helps! :)

Answer:

x^x=823543

Step-by-step explanation:

It took Emily 33.4 minutes to make dinner.

A mixed number is a kind of fraction that also has a proper fraction and a whole number. The number of whole units is represented by the whole number, and the fraction of a unit is represented by the proper fraction.

To solve the problem, we have to convert the mixed number  \(9 \frac{1}{10}\)   to a decimal number:

⇒ \(9 \frac{1}{10} = 9 +\frac{1}{10} = \frac{(9*10)+1}{10}\)

⇒ \(\frac{91}{10}\)  =  9.1

This means that Emily finished making dinner 9.1 minutes sooner than the cake.

To find out how long it took Emily to make dinner, we can subtract 9.1 from the cake baking time:

⇒ 42.5 - 9.1 = 33.4 minutes

Therefore, it took Emily 33.4 minutes to make dinner.

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Answer:

Hence, the data provides convincing evidence that a linear relationship exists between hours of sleep observed and academic performance as measured by GPA.

Step-by-step explanation:

Given the data:

Sleep (hrs) 9 8.5 9 7 7.56 7 5.5 6 8.5 6.5 8

GPA 3.8 3.3 3.5 3.6 3.4 3.3 3.2 3.2 3.2 3.4 3.6 3.1 3.4 3.7

The scatter plot shows a positive linear trend. With the correlation Coefficient depicting a R value of 0.56. The residual plot also depicts a a randomly scattered values of the residual values. Similarly, a plot of the normal values of  residuals

The data provided has a linear correlation between the hours of sleep observed and academic performance as measured by GPA.  

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

We have given data of the 14 seniors shown in the table.

To solve this question we will calculate the correlation coefficient 'r'

The formula for correlation coefficient :

\(\rm r =\frac{n\sum xy-\sum x \sum y}{\sqrt{[n\sum x^2-(\sum x)^2]}[n\sum y^2-(\sum y)^2]} }\)

From the table the value of n = 14

\(\rm \sum x = 104.5\) , \(\rm \sum y =47.7\) , \(\rm \sum xy =357.8\) , \(\rm \sum x^2 =797.25\) , \(\rm \sum y^2 =163.09\)

Put all the values in the above formula we get:

\(\rm r =\frac{14\times357.8-104.5 \times47.7}{\sqrt{[14\times 797.25-104.5^2][14\times163.09-47.7^2]} }\)

\(\rm r = \frac{5009.2-4984.65}{\sqrt{(241.25)(7.97)} }\)

\(\rm r = \frac{24.55}{43.849}\)

r = 0.559 ≈ 0.56

The value of the correlation coefficient is 0.56 which is between the values 0.5 to 0.7 shows that the variables are moderately correlated.

Thus, the data provided has a linear correlation between the hours of sleep observed and academic performance as measured by GPA.  

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Yes you have the correct theorem.

The idea is to get everything to one side so we can form a function

\(\sin\left(e^{2x}\right) = 2x-1\\\\\sin\left(e^{2x}\right)-2x+1 = 0\\\\f(x) = \sin\left(e^{2x}\right)-2x+1\\\\\)

Afterward, we plug in x = 0 to find that

\(f(x) = \sin\left(e^{2x}\right)-2x+1\\\\f(0) = \sin\left(e^{2*0}\right)-2*0+1\\\\f(0) = \sin\left(1\right)+1\\\\f(0) \approx 1.84147\\\\\)

I set my calculator to radian mode, which is fairly common in many calculus courses.

Repeat for x = 1

\(f(x) = \sin\left(e^{2x}\right)-2x+1\\\\f(1) = \sin\left(e^{2*1}\right)-2*1+1\\\\f(1) \approx -0.10615\\\\\)

We see that f(x) changes in sign from positive to negative, when going from x = 0 to x = 1. Because f(x) is continuous, there must be at least one point in the road where it cuts through the x axis when f(x) = 0. This is the place where the intermediate value theorem kicks in.

Therefore, f(x) has at least one root on the interval 0 < x < 1. We don't know what the solutions are, or how many. We only know that at least one exists on this interval.

All of those ideas then extend back to the original equation. Since f(x) has at least one root, this must mean the original equation has at least one solution.

It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.

Based on Jefferson's method and the value of d, the apportionment of the 57 seats will be:

This is done by dividing the population of the state by the d value and then rounding this off:

State A:

= 138,352 / 32,920

= 4.2

= 4

State B:

= 181,282 / 32,920

= 5.5

= 5

State C:

= 337,026 / 32,920

= 10.23

= 10

State D:

= 549,634 / 32,920

= 16.6

= 16

State E:

= 729,736 / 32,920

= 22.1

= 22

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Answer:

y=-5x+5

Step-by-step explanation:

Answer:

just memorize the numbers in pi, I know the first like 4 numbers. 3.1415

Step-by-step explanation:

it is used for calculating the area of circles.

Answer:

I think it is 3600

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Problem:

Mary was 12 (-12) feet below sea level, she sawm down another 5 feet (-5). How many feet below sea level is Mary?

(if needed) Answer: -17

The real-world problem in which two negative integers are subtracted​ is a person diving below the surface of a sea for 60 feet and 50 feet.

-60 - 50 = -110.

110 feet below the surface of the sea.

We have to write a real-world problem in which two negative integers are subtracted​.

Let us consider that a person is at the surface of a sea before he dives deep.

The person started to dive below the surface and he was now 60 feet below the surface.

Again he started to dive deep to 50 feet below.

So the person is at how many feet below the surface: - 60 - 50 = -110 feet.

The person is 110 feet below the surface.

And -60 and -50 are the two negative integers subtracted.

Thus,

The real-world problem in which two negative integers are subtracted​ is a person diving below the surface of a sea for 60 feet and 50 feet.

-60 - 50 = -110.

110 feet below the surface of the sea.

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The point of concurrency for angle bisectors of triangle is incenter.

A single point of concurrency is defined as a point of convergence shared by three or more lines. Constructed lines in triangle interiors are ideal for searching for points of convergence.

When you build the medians, perpendicular bisectors, angle bisectors, or altitudes of a triangle, you create a point of concurrency for each of them.

The triangle can have four distinct points of concurrency because it can have four distinct types of line segments. Each concurrency point represents the intersection of a specific type of line segment: centroid, circumcenter, incenter, and orthocenter.

The triangle's centroid is the point of convergence shared by the three medians.

The incenter is the point where the triangle's three angle bisectors intersect.

The three perpendicular bisectors will meet at the circumcenter, which will serve as a point of convergence.

The orthocenter is the point at which a triangle's three altitudes/heights intersect.

Thus, the point of concurrency for angle bisectors of triangle is incenter.

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Answer

its scale factor is ​4/3 and 0.75

Step-by-step explanation:

Step-by-step explanation:

Let the number be x

x - 7/4

The expression of the statement, four divided by the difference between a number and seven is (x-7) /4

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

An expression has to be made for the statement:

Four divided by the difference between a number and seven.

Difference is the output of the mathematical operation, Subtraction

Let the number in the expression is x

Then the expression can be written as,

Difference between a number and seven = ( x -7)

Four is divided by the difference

The number which is divided is written after the number separated by a / sign.

(x-7) /4

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Answer:

ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C

Step-by-step explanation:

dy/dx + 2y = 6

This is a first order linear ODE.

p(x) = 2

Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)

e^(2x)(dy/dx + 2y) = 6e^(2x)

e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx

Integrate both sides of the equation.

ye^(2x) = 3e^(2x) + C

Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.

Answer:

z = 2.6

Step-by-step explanation:

Use the formula for z-score

\(z=\frac{x-\mu}{\sigma}\\ \\z=\frac{210-145}{25}\\ \\z=\frac{65}{25}\\ \\z=2.6\)

This tells us that this person's score of 210 places them 2.6 standard deviations above the mean

Answer:

b) 9x² - 3x

Step-by-step explanation:

Area of a  rectangle = Length × Width

Area for the rectangle = 3x - 1 × 3x

Area = \((3x-1)(3x)\)

Step 1. Multiply by combining like terms

3x · 3x = 9x²

Step 2. Multiply -1 by 3x

-1 · 3x = -3x

Step 3. Combine 9x² and -3x

9x² - 3x

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doomdabomb: All brainliest and thanks are appreciated

and would mean a lot to me, thanks!

Answer:

The area of a triangle is always one half the base b times the height h.

SEE PICTURE BELOW;

If the base is represented by the expression 4x + 2 and the height is represented by 3x, which expression gives the area of the triangle?

Step-by-step explanation:

Edge 2021

Answer: Yes

Step-by-step explanation: A rational number is a number that can be described as a fraction. -92 can be a fraction, therefor it's rational.

No

A rational number is any number that can be expressed as a ratio of two integers. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi is irrational since it cannot be written as a fraction.

Answer:

y=5/4x-4

Step-by-step explanation:

y=mx+b

Answer:

ewan ko sorry kailangan lang ng points

Answer:

You would make 2 million dollars in 63 minutes, sure would be nice too.

Step-by-step explanation:

The first term in a sequence is sometimes referred to as \(a_0\) as opposed to \(a_1\) because \(a_0\) represents the initial value

The question refers to the difference between the terms

\(a_o\) and \(a_1\)

The terms in a sequence are represented by a subscript number.

Take for instance a₂ or T₂ represents the second term.

However, when the first term is represented by a₀ instead of a₁.

It means that the sequence has an initial value, other than the first term.

Even though the words "first" and "initial" are synonyms, they do not entirely represent the same thing.

Take for instance, a₀ can be used instead of a₁ in the following scenario

The population of a country is 1000 in 1996 and The country experiences an increment of 250 people every year after 1996.

The above means that:

a₀ = 1000 --- the initial year

a₁ = 1000 + 250 = 1250 ---- the first year after 1996 (i.e. 1997)

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

16 workers are required to complete the work in 45 days...

Step-by-step explanation:

12 workers are required to complete the work in 60 days

so... 60*12=720 workers are required to complete the work in 1 day

Hence,

720/45 = 16 workers are required to complete the work in 45 days.