(1 point) Find the least-squares regression line = bo + b₁ through the points For what value of x is y = 0? C= (-2, 0), (2, 7), (6, 13), (8, 18), (11, 27).

Answer:

10 pounds

Step-by-step explanation:

given ratio weight:added weight=10:1

100:x=10:1

100/x=10/1

solving for x

100=10x

x=10

The triangle is a right triangle, and the length of segment BD is 16.30

Start by calculating the length CD using the following Pythagoras theorem

\(CD = \sqrt{28.9^2 - 24.2^2}\)

Evaluate

\(CD = \sqrt{249.57}\)

Take the square of both sides

CD^2 = 249.57

The length BD using the following Pythagoras theorem

\(BD = \sqrt{CB^2 - CD^2}\)

So, we have:

\(BD = \sqrt{22.7^2 - 249.57}\)

Evaluate

\(BD = \sqrt{265.72}\)

Evaluate the square root

BD = 16.30

Hence, the length of segment BD is 16.30

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Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2,−7),(10,1)

The midpoint is

\(M = ( \frac{2 + 10}{2} , \: \frac{ - 7 + 1}{2} ) \\ = ( \frac{12}{2} \: , \: - \frac{6}{2} )\)

We have the final answer as

Hope this helps you

A standard normal random variable probability is 0.0250.

The probability P(Z > 1.96)  found by subtracting the cumulative probability from 1.

Using a standard normal distribution table or calculator, find the cumulative probability corresponding to 1.96, which is approximately 0.9750.

P(Z > 1.96) = 1 - P(Z ≤ 1.96) = 1 - 0.9750 = 0.0250.

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Answer:

D. all real numbers greater than or equal to 2

Step-by-step explanation:

Range values consists of all possible set of y-value plotted on the vertical axis. So, we are looking at the y-values on the y-axis (vertical axis).

The line starts at 2 on the y-axis. The shaded "o" means that 2 is included or the range of the function is 2 or above.

Thus, this means that:

the range of the function of the graph are "all real numbers greater than or equal to 2."

The Range of the function are all real numbers greater than or equal to 2

The Range of a function is the output values or values of the dependent variable of a function.

Since the y - axis represents the dependent variable, the Range of the function is the values of y given from the graph. The values of y given from the graph range from and include 2 to ∞. The value 2 is included since it is shaded.

So, the Range of the function are all real numbers greater than or equal to 2

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The given one-dimensional wavefunction ψ(x) = Axe^(-αx) satisfies the 1-D time independent Schrödinger equation with a potential term V(x) = -(q^2)x^2, where q is a constant and α = ℏ^2/(mq^2). The energy eigenvalue E can be calculated in terms of ℏ, m, and q. To normalize the wavefunction, we need to find the value of the constant A.

a. To show that the wavefunction ψ(x) satisfies the Schrödinger equation, we need to substitute the wavefunction into the time-independent Schrödinger equation:

[-(ħ^2/2m) * d^2ψ(x)/dx^2 + V(x) * ψ(x)] = E * ψ(x)

Substituting the given wavefunction and potential term, we have:

[-(ħ^2/2m) * d^2/dx^2 (Axe^(-αx)) - (q^2)x^2 * Axe^(-αx)] = E * Axe^(-αx)

Simplifying the equation, we can differentiate ψ(x) twice and substitute it into the equation. After simplifying further, we find that the left-hand side of the equation is equal to E * ψ(x). Therefore, the wavefunction satisfies the Schrödinger equation.

b. To calculate the energy eigenvalue E, we can multiply the Schrödinger equation by ψ(x) and integrate it over the entire x domain. This will yield an expression involving E and the wavefunction ψ(x). Solving for E will give us the energy eigenvalue in terms of ℏ, m, and q.

c. To normalize the wavefunction, we need to find the value of the constant A. The wavefunction must satisfy the normalization condition:

∫|ψ(x)|^2 dx = 1

By substituting the wavefunction ψ(x) into the integral and solving for A, we can determine the value that normalizes the wavefunction.

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Answer:

Problem 1)

\(-11<x<-4\)

Sample value is -6.

Problem 2:

\(3<y<9\)

Sample value is 6.

Problem 3:

\(5<z<6\)

Sample value is 5.5.

Step-by-step explanation:

We can write inequalities to represent each situation.

Problem 1)

(11 + x) is positive and (4 + x) is negative. In other words:

\(11+x>0\text{ and } 4+x<0\)

Solving for x yields:

\(x>-11\text{ and } x<-4\)

Combining them:

\(-11<x<-4\)

Any values that satisfy this inequality will work.

An example will be -6.

Problem 2)

(-3 + y) is positive and (-9 + y) is negative. Hence:

\(-3+y>0\text{ and } -9+y<0\)

Solving for y yields:

\(y>3\text{ and } y<9\)

So:

\(3<y<9\)

A sample value will be 6.

Problem 3)

(-5 + z) is positive and (-6 + z) is negative. Hence:

\(-5+z>0\text{ and } -6+z<0\)

Solving for z yields:

\(z>5\text{ and } z<6\)

So:

\(5<z<6\)

A sample value will be 5.5.

Answer:

1) you can choose: -5, -6, -7, -8, -9, or -10

Step-by-step explanation:

If you subtract 11 + -5 through -10 you have a positive number. If you subtract 4 + -5 through -10 you have a negative number.

Step-by-step explanation:

144 degree is right answer.

Answer:

144°

Step-by-step explanation:

The central angle is 360°. Since it has 5 divisions, the angle of each division is 72°.

From B to D, it requires 2 rotations.

Answer:

choice A

Step-by-step explanation:

im not sure what you really wanted so i did the cheapest option

Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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Answer:

My guess is 320 dollars

Step-by-step explanation:

Using the arithmetic operation of division -

a) 3 people can be fed by 1 pizza.

b) Maria would need 11 pizzas for 33 people.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

The number of pizzas ordered = 8

The number of people are = 24.

Number of people that can be fed if 1 pizza was there =

Number of people = Number of people that came/ Number of pizza

Use the arithmetic operation of division -

Number of people = 24/8

Number of people = 3

Therefore, 3 people can be fed.

Now, the number of people = 33

Number of pizzas required for 33 people can be obtained as -

Use the arithmetic operation of division -

Number of pizzas = Number of people/ Number of people fed by 1 pizza

Number of pizzas = 33/3

Number of pizzas = 11

Therefore, Maria will require 11 pizzas.

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Answer:

C and D

Step-by-step explanation:

They are both roots of the equation.

Answer:

\(\large \boxed{\sf \ \ 70\% \ \ }\)

Step-by-step explanation:

Hello,

We assume that the year is 52 weeks, and we note r the interest rate we are looking for. The rate is expressed in percent and is annually, meaning that the investment is, after the first week :

   \(1000\cdot (1+\dfrac{r\%}{52})=1000\cdot (1+\dfrac{r}{5200})\)

For the second week

   \(1000\cdot (1+\dfrac{r}{5200})^2\)

After 52 weeks

   \(1000\cdot (1+\dfrac{r}{5200})^{52}\)

and we want to be equal to 2000 so we need to solve:

\(1000\cdot (1+\dfrac{r}{5200})^{52}=2000\\\\\text{*** divide by 1000 both sides ***}\\\\(1+\dfrac{r}{5200})^{52}=\dfrac{2000}{1000}=2\\\\\text{*** take the ln **}\\\\52\cdot ln(1+\dfrac{r}{5200})=ln(2)\\\\\text{*** divide by 52 ***}\\\\ln(1+\dfrac{r}{5200})=\dfrac{ln(2)}{52}\\\\\text{*** take the exp ***}\\\\\displaystyle 1+\dfrac{r}{5200}=exp(\dfrac{ln(2)}{52})=2^{(\dfrac{1}{52})}=\sqrt[52]{2}\\\\r = 5200\cdot (\sqrt[52]{2}-1)=69.77875...\)

Rounded to the nearest percent, the solution is 70%.

If you want to double your capital in one year with weekly compounding you need an interest rate of 70% !!

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

4%

Step-by-step explanation:

Answer:

D or the Last one

Step-by-step explanation:

because the equation equals that and it is a perfect square method because the middle term is not canceled out. Hope this helps!

Answer:

I really think it is

$18.94

Answer: 5 and 6

33 lies between 5^2 and 6^2.

The correct order is: 2%, 0.09, 19/100, 7/10, 0.1. We can calculate it in the following manner.

First, we need to convert all the fractions and percentages to decimals, and then we can compare them in ascending order:

0.09, 0.1, 0.02, 0.7, 0.19

Therefore, the ascending order of the given numbers is:

0.02, 0.09, 0.19, 0.7, 0.1

So the correct order is: 2%, 0.09, 19/100, 7/10, 0.1

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.

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The two triangles are similar using the AA criteria and option C is the correct answer.

If two figures share the same shape but not necessarily the same size, they are considered to be comparable.

If the respective sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are comparable (or proportion). Triangles that are similar will have the same shape but may not be the exact same size.

Two triangles are said to be similar if their corresponding angles are equal.

For the first triangle the sum of interior angle is 180 thus:

60 + 53 + angle E = 180

angle E = 180 - 113

angle E = 67

From the two figures we observe that:

∠DCR = ∠GFH, and

∠DEC = ∠GHF

Hence, the two triangles are similar using the AA criteria and option C is the correct answer.

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The independent variable of interest in an ANOVA procedure is called a factor. Hence (d).

The independent variable of interest in an ANOVA procedure is referred to as the factor. The factor represents the different categories or levels being compared to assess their impact on a dependent variable. It is the variable that is manipulated or controlled by the researcher to determine its effect on the outcome. In the context of ANOVA, the factor is typically a categorical variable that divides the data into distinct groups or treatments. These groups are compared to evaluate if there are statistically significant differences in the means of the dependent variable across the different levels of the factor. Therefore, the correct answer is factor(d).

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Answer:

the Midian is 9

mode is 3

mean is 6

it ranges from 3 to 12

Average acceleration is defined as

\(a_{\rm ave} = \dfrac{\Delta v}{\Delta t}\)

Instantaneous acceleration is obtained by letting \(\Delta t\to0\).

\(a = \displaystyle \lim_{\Delta t \to 0} \frac{\Delta v}{\Delta t}\)

As velocity is a function \(v(t)\) of time \(t\), we have for some time interval \(\Delta t\),

\(\Delta v = v(t+\Delta t) - v(t)\)

so that

\(a = \displaystyle \lim_{\Delta t \to 0} \frac{v(t+\Delta t) - v(t)}{\Delta t}\)

and the right side is exactly the derivative of \(v(t)\).

Answer:

32,8+3,27=36,07

36,07-0,15=35.92

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

45 divided by 5 is 9.

210 divided by 5 is 42.

Hope It Helps

Sorry If I'm Wrong

The question requires you to write in word for the number 45,037.36

The number has a decimal

This will be written as;

Fourty five thousand and thirty seven and thirty-six hundredths.

Rewrite \(x^4y^2-3x^3y^3\) using a common factor.

A) \(3xy(x^3y-x^2y)\)

B) \(3xy^2(x2-x^2y)\)

C) \(x^2y(xy-3xy^2)\)

D) \(x^2y^2(x^2-3xy)\)

option d

Answer:

Step-by-step explanation:

if you're looking for an+1 it might be an=3

because the an represents the first term in the sequence

Answer:

n = 3

Step-by-step explanation:

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

The solution is, n = 3.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

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