Can someone answer this please!!!!!!!

Answer:

add like terms on both sides (3x+6=3x+21

subtract like terms (x+6=21)

subtract like terms (x=15)

The equation of the line will be y = 2x + 3. Then the correct option is B.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)

From the graph, two points are taken as (0, 3) and (1, 5). Then the equation of the line is given as,

(y - 3) = [(5 - 3) / (1 - 0)](x - 0)

Simplify the equation, then we have

y - 3 = 2x

y = 2x + 3

The equation of the line will be y = 2x + 3. Then the correct option is B.

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Answer:

c

Step-by-step explanation:

Answer:

3 times greater

Step-by-step explanation:

To find out how many times greater the population of Chicago is than Austin, we can divide the population of Chicago by the population of Austin:

Population of Chicago / Population of Austin = 2,720,546 / 900,000

Simplifying the expression by dividing both the numerator and denominator by 100,000, we get:

Population of Chicago / Population of Austin = 27.20546 / 9

Dividing these numbers, we get:

Population of Chicago / Population of Austin = 3.022838

Therefore, the population of Chicago is about 3 times greater than the population of Austin.

Answer:

Since the trianges are similar

then:

A. A sample size of 62 should be taken for a 95% level of confidence.

B. The sample size of 107 should be taken for a 99% level of confidence.

a. To estimate the sample size needed to estimate the mean time a staff member spends with each patient, we can use the formula for sample size calculation:

n = (Z^2 * σ^2) / E^2

Where:

n = required sample size

Z = Z-score corresponding to the desired level of confidence

σ = population standard deviation

E = desired margin of error

For a 95% level of confidence:

Z = 1.96 (corresponding to a 95% confidence level)

E = 2 minutes

σ = 8 minutes (population standard deviation)

Substituting these values into the formula:

n = (1.96^2 * 8^2) / 2^2

n = (3.8416 * 64) / 4

n = 245.9904 / 4

n ≈ 61.4976

Since we can't have a fraction of a sample, we round up the sample size to the nearest whole number. Therefore, a sample size of 62 should be taken for a 95% level of confidence.

b. For a 99% level of confidence:

Z = 2.58 (corresponding to a 99% confidence level)

E = 2 minutes

σ = 8 minutes (population standard deviation)

Substituting these values into the formula:

n = (2.58^2 * 8^2) / 2^2

n = (6.6564 * 64) / 4

n = 426.0096 / 4

n ≈ 106.5024

Rounding up the sample size to the nearest whole number, a sample size of 107 should be taken for a 99% level of confidence.

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Answer:

Drew is incorrect

Step-by-step explanation:

Let the number be x such that if the product of the number and 4 is 1.08 then

x * 4 = 1.08

Divide both sides by 4

x = 1.08/4

= 0.27

Drew is incorrect because the result (1.08) has 2 decimal places and not one like he concluded. The number of digits before the decimal point for the numbers being multiplied must be 2.

10xy

or x=10

hope it helps

Deja's utility function is u(x1, x2) = 4x1 + x2, and the points (25, 0), (16, 4), (9, ...), (4, ...), (1, ...), and (0, ...) give her a utility of 20.

The indifference curve connecting these points can be plotted. With a price of 1 for cashews, 2 for berries, and an income of 24, Deja's budget line can be drawn. The optimal consumption bundle can be found at the point of tangency between the budget line and the indifference curve. Additionally, a utility of 25 can be achieved by finding points on the indifference curve that satisfy the utility function equation.

If Deja's income increases to 34 while prices remain the same, a new budget line can be drawn, and the optimal consumption bundle can be determined.

Deja's utility function u(x1, x2) = 4x1 + x2 indicates that she values cashews (x1) four times more than berries (x2). The given points (25, 0), (16, 4), (9, ...), (4, ...), (1, ...), and (0, ...) provide her with a utility of 20. By plotting these points, an indifference curve can be obtained, which represents combinations of cashews and berries that yield the same level of utility.

Next, with prices of 1 for cashews and 2 for berries, and an income of 24, Deja's budget line can be determined using the equation 1 * x1 + 2 * x2 = 24. By choosing two convenient points (0, 12) and (24, 0), the budget line can be plotted. The point of tangency between the budget line and the indifference curve represents the optimal consumption bundle, indicating the quantities of cashews and berries Deja will choose to purchase.

To find points on the indifference curve that give Deja a utility of 25, the utility function equation 4x1 + x2 = 25 can be solved. By selecting different values for x1, corresponding values for x2 can be found. For example, if x1 = 5, then x2 = 25 - 4(5) = 5. Thus, one point on the indifference curve with a utility of 25 is (5, 5).

If Deja's income increases to 34 while the prices remain the same, a new budget line can be drawn using the equation 1 * x1 + 2 * x2 = 34. By selecting two points (0, 17) and (34, 0) and plotting them, the new budget line can be depicted. The optimal consumption bundle can then be determined at the point of tangency between the new budget line and the indifference curve.

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Answer:

The correct answer is (C)

Step-by-step explanation:

answer on edge test

The equation showing (-10,8) being used in writing the line in the point-slope form will be y-8= -0.2(x+10) where 0.2 is the slope and (-10,8) is the point.

The equation of straight line passing through two points (x1,y1), (x2,y2) will be calculated as

(y-y1)/(x-x1)= m, where m is the slope of staright line and

m=  (y2-y1)/(x2-x1)

where (x1,y1), (x2,y2) are the coordinates of the two points passing through the line.

Here are given in the table are the points which are satisfying the linear equation.

Using two points from the table (-10,8) and (-5,7)

where x1= -10      y1=8

x2= -5       y2=7

m= (y2-y1) / (x2-x1)= (7-8) / (-5-(-10))= (-1)/(-5+10) =(-1)/5= -0.2

So now using the point of coordinate (-10,8)

(y-y1)/(x-x1)= m

⇒(y-y1)/(x-x1)= -0.2

⇒ (y-8)/(x-(-10)) =-0.2

⇒(y-8)/(x+10) =0.2

⇒y-8= -0.2(x+10)

⇒y=-0.2x-2+8

⇒y= -0.2x+6

Therefore the equation showing (-10,8) being used in writing the line in the point-slope form will be y-8= -0.2(x+10) where 0.2 is the slope and (-10,8) is the point.

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Answer:

Step-by-step explanation:

Let x be the number

I hope this helps!

Answer:

x = -9

Step-by-step explanation:

mark helpfull give 5str and award brainliest

Answer:

x = -9

Step-by-step explanation:

4 = 4(x + 10)

=> 4/4 = x + 10

=> 1 = x + 10

=> x + 10 = 1

=> x = 1 - 10

=> x = -9

Answer:

measure 2 has to be 109 due to the alternate interior angles theorem. Measure 3 has to be 71 due to the supplementary angles theorem.

Angles 8 and 2 are alternate interior angles so they will be the same therefore,m∠2 and m∠3 will be 109° and 71° respectively.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—is known as the vertex.

Given two parallel lines a transversal.

Angles 8 and 2 are alternate interior angles.

m∠8 = m∠2

m∠2 = 108°

Now,m∠2 and m∠3 are supplementary angles.

Therefore,m∠3 = 180° - 108° = 71°

Hence "Angles 8 and 2 are alternate interior angles so they will be the same therefore,m∠2 and m∠3 will be 109° and 71° respectively".

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Answer:

Let v = ml of 100% vinegar

Then 150-v = ml of dressing

v  + .05(150-v) = .24(150)

v + 7.5 - .05v = 36

.95v = 28.5

v = 28.5/.95

v = 30 ml of vinegar

dressing = 150-30 = 120 ml

Step-by-step explanation:

The final two equations which represent the given situation are:

2x - y = -6 and 3x - y = -5.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a linear equation of two variables.

Suppose,

The larger number is 'y' and the smaller number is 'x'.

First relation,

'y' is equal to twice the sum of a smaller number (x) and 3. So we represent this as:

y = 2(x+3)

y = 2x + 6

2x - y = -6                     ............(1)

Second relation,

The larger number (y) is equal to 5 more than 3 times the smaller number (x). So we represent this as:

y = 5 + 3x

3x - y = -5                     .............(2)

Hence, the final two equations which represent the given situation are:

2x - y = -6 and 3x - y = -5.

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Suppose A is a 3x3 matrix and B is a vector in the set of real numbers R^3 with the property that Ax = B has a unique solution. The reason why this system has a unique solution is because the matrix A has a full rank, which means its columns are linearly independent.

In this case, the matrix A has an inverse, and the unique solution can be found by multiplying both sides of the equation by the inverse of A: A^(-1)Ax = A^(-1)B.  x = A^(-1)B
Thus, the system Ax = B has a unique solution, which can be obtained using the inverse of the matrix A. (where B is a vector)

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False. When conducting a cluster sample, it is typically preferable to have more heterogeneous clusters with fewer individuals.

This is due to the fact that when clusters are diverse, it is crucial to appropriately represent the population by capturing its diversity.

In such situations, the danger of sampling bias is increased by having fewer clusters with more individuals because a larger number of people from a single heterogeneous cluster would not fairly represent the overall community. Incorrect estimates and conclusions may result from this.

Having fewer clusters with more individuals, on the other hand, can assist raise the precision of the estimates when clusters are homogeneous by lowering the variance associated with sampling from a single cluster. In general, to achieve a precise representation of the population and to lessen the chance of sampling bias, the number of clusters and the size of each cluster should be balanced.

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To test for consistency in the given system of equations:

\(\[\begin{align*}x - 4y + 7z &= 14 \\3x + 8y - 2z &= 13 \\7x - 8y + 26z &= 5\end{align*}\]\)\(\[x - 4y + 7z &= 14 \\3x + 8y - 2z &= 13 \\7x - 8y + 26z &= 5\]\)

We can use the method of Gaussian elimination or matrix operations. However, to provide a short answer using LaTeX, I will use matrix notation to perform row reduction:

\(\[\begin{bmatrix}1 & -4 & 7 & 14 \\3 & 8 & -2 & 13 \\7 & -8 & 26 & 5\end{bmatrix}\]\)

Performing row reduction operations, we can obtain the row-echelon form:

\(\[\begin{bmatrix}1 & -4 & 7 & 14 \\0 & 20 & -23 & -29 \\0 & 0 & 1 & -3\end{bmatrix}\]\)

Since we do not have a row with the form [0 0 ... 0 | b], where b is a non-zero value, the system is consistent. Additionally, all the rows have at least one non-zero entry in the augmented column. Therefore, the system of equations is consistent.

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Answer:
Point 1: (2,6)
Point 2: (8,6)

If this help please set brainliest.

First, we need to find the coordinates of each vertex of triangle ABC. Let's assume that A is located at (a,b), B is located at (c,d), and C is located at (e,f). Since we know the measures of the angles, we can also determine the slopes of the lines connecting the vertices:

The slope of line AB is (d-b)/(c-a), which is equal to tan(55°).

The slope of line BC is (f-d)/(e-c), which is equal to tan(80°).

The slope of line AC is (f-b)/(e-a), which is equal to tan(55°-45°) = tan(10°).

Using these slopes, we can find the equations of the three lines and solve for the coordinates of the vertices:

Line AB: y-b = tan(55°)(x-a)

Line BC: y-d = tan(80°)(x-c)

Line AC: y-b = tan(10°)(x-a)

Solving these equations simultaneously, we get:

A = (b + (c-a)tan(55°), b + (c-a)tan(55°-45°))

B = (c + (f-d)/tan(80°), d + (f-d))

C = (e + (b-f)/tan(10°), f + (e-a)tan(10°))

Next, we need to apply the rotation and reflection to these vertices to find the corresponding vertices of triangle XYZ. The rotation by 90° counterclockwise about the origin transforms a point (x,y) into (-y,x), while the reflection across the line y=x transforms a point (x,y) into (y,x). So:

Vertex A of ABC is mapped to vertex X of XYZ: (a,b) → (-b,a) → (a,-b)

Vertex B of ABC is mapped to vertex Y of XYZ: (c,d) → (-d,c) → (c,d)

Vertex C of ABC is mapped to vertex Z of XYZ: (e,f) → (-f,e) → (e,f)

Now we need to find the measure of angle Y. Since we don't know the exact coordinates of the vertices of XYZ, we'll use the fact that the rotation by 90° counterclockwise about the origin preserves angles and the reflection across the line y=x changes the orientation of angles but not their measure. Therefore:

m∠Y = m∠ZOX, where O is the origin

m∠ZOX = 90° - m∠XOZ

m∠XOZ = m∠COA = 55° + 45° = 100°

Therefore, m∠Y = 90° - 100° = -10°, but since angles can't have negative measures, we add 360° to get m∠Y = 350°.

So the measure of angle Y in triangle XYZ is 350°.

Question 1

1/1

Triangle ABC

maps to triangle XYZ

by a rotation of 90∘

counterclockwise about the origin followed by a reflection across the line y=x.

In triangle ABC,

m∠A=45∘,

m∠B=55∘,

and m∠C=80∘.

What is the measure of ∠Y?

Enter your answer as the correct value, like this: 42

55 is the answer I'm not joking try it lol

The remaining mass of the element after 19 minutes is approximately 110.7 grams, rounded to the nearest tenth of a gram.

The mass of the element is decreasing at a rate of 8.9% per minute. Let's call the remaining mass of the element after 19 minutes "x". Then, the mass of the element after 1 minute would be 0.911 times x, since 8.9% of the mass disintegrates per minute.

After 2 minutes, the mass would be 0.911 times 0.911 times x, or 0.911² times x. In general, after t minutes, the mass would be:

x = 310 × \(0.911^t\)

To find the remaining mass after 19 minutes, we plug in t = 19:

x = 310 × 0.911¹⁹ ≈ 110.7

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Answer:

a

Step-by-step explanation:

For negative correlation, Look for data that is going down

The predicted sales for the week 6 is 746.

By applying a linear equation to the observed data, linear regression aims to demonstrate the link between two variables. According to the theory, one variable should be an independent variable and the other should be a dependent variable. For instance, the relationship between a person's weight and height is linear. As a result, this demonstrates a linear relationship between an individual's height and weight. The weight of the individual increases along with their height.

We can determine the intercept and slope values for the regression model in the instance of linear regression using an Excel method.

The equation is created from the aforementioned facts.

Forecast = A + B(x)

Where A is the intercept of the data, B is the slope, and x is the period.

Intercept = INTERCEPT ( RangeY, RangeX )

Slope = SLOPE (RangeY, Range X)

Now the data corresponds to an intercept value of 698 and a slope of 8.

Therefore, for period 6, x = 6

The equation = 698 + (8 * 6) = 746

The intermediate calculations are in the table below:

PERIOD   UNITS   FORECAST

______________________

1             700              706

2            724               714

3            720               722

4            728               730

5                                 738

6                                746

Therefore, the predicted sales for week 6 is 746.

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Answer: 1 4/5 / 2/7 = 63/

10

= 6 3/10  

= 6.3

Step-by-step explanation:

Conversion a mixed number 1 4/

5

to a improper fraction: 1 4/5 = 1 4/

5

= 1 · 5 + 4/

5

= 5 + 4/

5

= 9/

5

To find a new numerator:

a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/

5

= 5/

5

b) Add the answer from previous step 5 to the numerator 4. New numerator is 5 + 4 = 9

c) Write a previous answer (new numerator 9) over the denominator 5.

One and four fifths is nine fifths

Divide: 9/

5

: 2/

7

= 9/

5

· 7/

2

= 9 · 7/

5 · 2

= 63/

10

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/

7

is 7/

2

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.

In other words - nine fifths divided by two sevenths = sixty-three tenths.

Answer:

Box 5= 9

Step-by-step explanation:

Step1: convert 1 4/5 to a fraction. 9/5

9/5÷2/7

Step2: use the KCF method (keep, change, flip) you'll keep the 9/5 then you'll change the ÷ to x, then you will flip the 2/7 to7/2

9/5 x 7/2= 63/10

Box 5= 9

Let's start by drawing the tree diagram to represent the given information:

```

                      _____________________________

                     |                             |

                     |         Email Account 1      |

                     |     Probability: 0.5        |

                     |_____________________________|

                     |             |               |

                     |             |               |

                     |             |               |

                     |             |               |

                     |             |               |

                     |             |               |

           ________  v _______   v _______   ________

          |                    |              |

          |     Email Account 2     |              |

          |   Probability: 0.3    |              |

          |   ___________________|              |

          |  |                     |              |

          |  |                     |              |

          |  |                     |              |

          |  v                     v              |

          |   Email Account 3         |              |

          | Probability: 0.2     |              |

          |_______________________|              |

          |                                       |

          |                                       |

          |                                       |

          |                                       |

          v                                       v

     Email Not Spam                        Email Not Spam

     Probability: 0.90                      Probability: 0.70

          |                                       |

          |                                       |

          |                                       |

          |                                       |

          |                                       |

          v                                       v

   Email Spam                            Email Spam

   Probability: 0.10                     Probability: 0.30

```

Now let's answer the questions based on the tree diagram:

1. Given an email came from Account 1, what is the probability it is not spam?

From the diagram, we can see that if an email comes from Account 1, there are two possible outcomes: it can either be spam with a probability of 0.10, or not spam with a probability of 0.90. Therefore, the probability that an email from Account 1 is not spam is 0.90.

2. What is the probability a randomly chosen email is spam?

To determine the probability that a randomly chosen email is spam, we need to consider all the paths that lead to the "Email Spam" outcome in the diagram.

The probability of choosing an email from Account 1 and it being spam is 0.5 * 0.10 = 0.05.

The probability of choosing an email from Account 2 and it being spam is 0.3 * 0.30 = 0.09.

The probability of choosing an email from Account 3 and it being spam is 0.2 * 0.80 = 0.16.

Adding up these probabilities, we get:

0.05 + 0.09 + 0.16 = 0.30

Therefore, the probability that a randomly chosen email is spam is 0.30.

3. Given an email is spam, what is the probability it came from Account 3?

To determine the probability that an email came from Account 3 given that it is spam, we need to calculate the conditional probability using Bayes' theorem.

Let's denote the event A as "Email came from Account 3" and the event B as "Email is spam."

P(A|B) = (P(B|A) * P(A)) / P(B)

P(B|A) is the probability that an email is spam given that it came from Account 3, which is 0.80.

P(A) is the probability that an email came from Account 3, which is 0.2.

P(B) is the probability that an email is spam, which we calculated as 0.30 in the previous question.

Plugging these values into Bayes' theorem:

P(A|B) = (0.

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The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

The 10 breeding pairs of spotted owls in Cascade National Park studied by the researcher represent a selected sample. So, the correct answer is A)

The 10 breeding pairs of spotted owls represent a selected sample.

A sample is a subset of a larger population that is chosen for research or study purposes. In this case, the researcher is interested in studying the disappearance of spotted owls from northwestern forests, but it would be impractical to study the entire population of spotted owls in the region.

Therefore, the researcher selected a smaller group of 10 breeding pairs in Cascade National Park as a representative sample to study over the course of one year. The selected sample may help the researcher to draw conclusions about the population of spotted owls in the region. So, the correct option is A).

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--The given question is incomplete, the complete question is given

" a researcher is interested in the disappearance of spotted owls from northwestern forests. she studies 10 breeding pairs of spotted owls in cascade national park for one year. the 10 breeding pairs are the: group of answer choices

selected sample

snowball sample  

stratified sample

target population"--

Answer:

Step-by-step explanation:

To find the weight of an adult bull whose z-score is 1.5, we need to use the formula:

z = (x - μ) / σ

where z is the z-score, x is the weight of the bull we want to find, μ is the population mean weight (1450 pounds), and σ is the population standard deviation (240 pounds).

We can rearrange this formula to solve for x:

x = z*σ + μ

Substituting the given values, we get:

x = 1.5 * 240 + 1450

x = 360 + 1450

x = 1810

Therefore, the weight of an adult bull whose z-score is 1.5 is 1810 pounds.

Answer:

something missing.............

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

For more such questions on charges , Visit:

https://brainly.com/question/30478263

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