What is the vertical distance between (2, 11/3 ) and (2, −4/3 )?

Answer:Explanation: The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

Step-by-step explanation:

The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle has a center located at (2, 5) and passes through the point (10, 3), hence:

\(Radius=\sqrt{(3-5)^2+(10-2)^2}=8.25\)

The equation of the circle is:

(x-2)² + (y-5)² = 8.25²

(x - 2)² + (y - 5)² = 68

The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68

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Answer: 3.74 inches.

Step-by-step explanation: We can use the following to help us solve this proportion:

1.4 / 1.54 = 3.4 / x (where x is the unknown value that we are trying to solve)

1.54 / 1.4 = 1.1

x / 3.4 = 1.1

The only number that can make the following above true is 3.74, so that is your answer.

Let me know if this is right! :)

Answer:

21x2(x-3)

Step-by-step explanation:

Answer: Its C- 3(7x^2+5)(x-3)

Step-by-step explanation:

took it on edge2022

Answer:

y¹

Step-by-step explanation:

The law of exponents states that when dividing two powers of the same base, keep the base and subtract the exponents.

so our answer will go like this:

y⁵÷y⁴

subtract exponent 5 from exponent 4

Answer:

i.x=1      (x,y)=(1,3)

y=3

ii.x=2      (x,y)=(2,4)

y=4

iii.x=3      (x,y)=(3,5)

y=5

iv.x=4       (x,y)=(4,6)

y=6

v.x=5        (x,y)=(5,7)

y=7

Step-by-step explanation:

1. In algebra, a function is an equation that has only one answer for y for every x present.

2. The set (3,4) (4,5) (5,6) and (6,7), represents a function because when graphed, it forms a diagonal line. The second set of coordinates forms a non-linear "line." Furthermore, a way to test if something is a function or not is through the VERTICAL LINE TEST. If a vertical line can pass through the graphed line without touching it in two places at once, then it's a function. Vertical lines automatically fail this test; the second set of ordered pairs creates a vertical line.

3. The slope-intercept form of the correct line is y = 3/3x + 1. (y = mx + b)

4. The slope is -2 and the y-intercept is 6.

5. A horizontal line has a slope of 0 (Zero Slope) because it doesn't slope! A vertical line has an undefined slope because...  it does.

can I have Brainliest Please? thanks hope that helps

Answer:

1. a function is an equation that has only one answer for y for every x present.

Step-by-step explanation:

I know it

Answer:

C. Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

Step-by-step explanation:

Rigid transformations are processes that can be applied to change the orientation or size of a given object, while its shape is maintained. Examples are; rotation, reflection, dilation and translation.

To map ΔRST to ΔXYT, the rigid transformations required are; reflection and rotation. ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

Therefore, option C is correct from the given question.

The correct statement is, "Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y".

Given that,

Triangles R S T and X Y T are congruent.

Triangle R S T is reflected across a line and then rotated at point T to form triangle X Y T.

We have to determine,

Is there a series of rigid transformations that could map ΔRST to ΔXYT? If so, which transformations could be used?

According to the question,

Rigid body transformations are the ones that preserve the shape and size of the object i.e. magnitude and the angle also. Pure rotations and pure reflections are rigid body transformation

Rigid transformations are processes that can be applied to change the orientation or size of a given object, while its shape is maintained. Examples are; rotation, reflection, dilation, and translation.

The two types of motion a rigid body can undergo are; A macroscopic body is made up of a very large number of atoms. Describing the motion of such a system without some simplifications is clearly impossible.

To map ΔRST to ΔXYT, the rigid transformations required are; reflection and rotation. ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

Hence, Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

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The simplified expression for f(7+h) is h² + 14h + 45. The value of 7+h substitutes x in the function f(x).

To find and simplify the expression f(7+h), we will first substitute the value of 7+h into the function f(x) = x²−4. This will give us:
f(7+h) = (7+h)² - 4
Next, we will expand the squared term using the distributive property:
f(7+h) = (7+h)(7+h) - 4
f(7+h) = 49 + 14h + h² - 4
Finally, we will simplify the expression by combining like terms:
f(7+h) = h² + 14h + 45
Hence, the expression for f(7+h) is (7+h)² - 4 and simplified to be h² + 14h + 45.

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Answer

Sum of the first 13 terms = 8191

Explanation

The sum of terms in a geometric term is given as

where

a = first term = 1

r = common ratio = ratio of consecutive terms = (Second term)/(First term) = (2/1) = 2

n = number of terms = 13

Hope this Helps!!!

Answer:

about 24 people in the circle

Step-by-step explanation:

find circumfrence using pi r squared which is 94 and divide by 4 which is the distance between students

The Statement which is true is (c) the smaller the standard deviation, the more concentrated the data will be.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.

The smallest possible value for the standard deviation is 0, and that happens only in contrived situations where every single number in the data set is exactly the same

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The simplified form of the expression is given as 2/3q + 7/12

Fractions are written as a ratio of two integers or expressions. Given the expression

11/12 - 1/6q + 5/6q - 1/3

Collect the like terms

5/6q - 1/6q - 1/3 + 11/12

Find the LCM

4/6q + 11-4/12

4/6q + 7/12

Hence the simplified form of the expression is given as 2/3q + 7/12

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The planes that are parallel to each other are (a) 2x + 3y - 5z = 4 and (c) 4x + 6y - 2z = 0, as their normal vectors are scalar multiples of each other. The other given planes are not parallel to any of the mentioned planes. The correct options are (A) and (C)

To determine which of the planes are parallel to one another, we need to compare their normal vectors.

The normal vector of a plane is given by the coefficients of the variables x, y, and z in the equation of the plane.

Let's determine the normal vectors for each plane:

(a) 2x + 3y - 5z = 4

The normal vector for this plane is [2, 3, -5].

(b) 2x - 3y - z = 3

The normal vector for this plane is [2, -3, -1].

(c) 4x + 6y - 2z = 0

The normal vector for this plane is [4, 6, -2].

(d) z = 4 - 2x - 3y

The normal vector for this plane is [-2, -3, 1].

(e) z = 4 + 2x + 3y

The normal vector for this plane is [2, 3, 1].

(f) x + y + z = 1

The normal vector for this plane is [1, 1, 1].

To determine which planes are parallel, we compare the normal vectors:

Planes (a) and (b) are not parallel since their normal vectors are not scalar multiples of each other.

Planes (a) and (c) are parallel since their normal vectors [2, 3, -5] and [4, 6, -2] are scalar multiples of each other (both can be divided by 2).

Planes (a) and (d) are not parallel since their normal vectors [2, 3, -5] and [-2, -3, 1] are not scalar multiples of each other.

Planes (a) and (e) are not parallel since their normal vectors [2, 3, -5] and [2, 3, 1] are not scalar multiples of each other.

Planes (a) and (f) are not parallel since their normal vectors [2, 3, -5] and [1, 1, 1] are not scalar multiples of each other.

In summary, the only planes that are parallel to each other are (a) 2x + 3y - 5z = 4 and (c) 4x + 6y - 2z = 0.

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The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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Answer: I hope this is helpful

Step-by-step explanation:

A 4-digit number contains at least one even digit. To find:How many such numbers are there?Solution:Digits are 0,1,2,3,4,5,6,7,8,9.Number of odd digits = 5Number of even digits = 54-digit numbers are from 1000 to 9999.Total number of 4-digit numbers = 9000Possible ways to get odd digits on all the 4 places isIt means 625 numbers are their in which all 4 digits are odd.To find total 4-digit number that contains at least one even digit, subtract the numbers which contains only odd numbers from the total 4-digit numbers.Therefore, total 4-digit number that contains at least one even digit is 8375.

The number of Canadian dollars the bank exchange for $160 US dollars is 100.

Money is any item or medium of exchange that is accepted by people for the payment of goods and services, as well as the repayment of loans.

A current medium of exchange in the form of coins and banknotes.

Given that, the bank would exchange 1.6 Canadian dollars for one US dollar.

Here, there are $160 US dollars.

So, number of Canadian dollars

= 160/1.6

= 100

Therefore, the number of Canadian dollars the bank exchange for $160 US dollars is 100.

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Answer:

Step-by-step explanation:

Step 1:  Find slope of Linear function A

\(slope = \frac{y_2 - y_1}{x_2-x_1} = \frac{-5--1}{-4--2} = \frac{-5 +1}{-4+2} = \frac{-4}{-2} = 2\)

Step 2 : Find slope of B

Since they are perpendicular to each other, product of their slope = -1

That is,

   \(m_A \times m_B = - 1\\2 \times m_B = -1\\\\slope, m_B = \frac{-1}{2}\)

Given the function passes through (4, -6)

Equation of the linear function :

                                         \(x_3 = 4 \ , \ y_3 = -6\\\\(y - y_3) = m_B (x - x_3)\\\\(y - -6) = -\frac{1}{2} (x - 4)\\\\y + 6 = -\frac{1}{2}x + 2\\\\y = -\frac{1}{2}x + 2 - 6 \\\\y = -\frac{1}{2}x -4\)

Part B

Linear Function is parallel to B

Therefore the slope of B and slope of C are the same. And the equation will be of the form :

                   \(y = -\frac{1}{2} x + C\)

Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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Answer:

Prime Factors of 72: 2, 3

Step-by-step explanation:

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72

Step-by-step explanation:

1. let the percentage be x

therefore, x% of 126=22

(x/100) * 126=22

x=(22*100)/126

=17.46%

2. let percentage be x

25.7=x% of 141

25.7=(x/100)*141

x=(25.7*100)/141

x=18.23%

3. 46=x% of 107

46=(x/100)*107

x=(46*100)/107

x=43%

4. 62% of x=89.3

(62/100)*x=89.3

x=(89.3*100)/62

x=144

5. 30% of 117=x

( 30/100)*117=35.1

6. 120% of 118=?

(120/100)*118=141.6

7. 270 of 60

270*60= 16200

8. 87% of 41

(87/100)*41

=35.67

9. x% of 88.6=70

(x/100)*88.6=70

x=(70*100)/88.6

x=79%

Answer:

y=x-2

Step-by-step explanation:

the line is linear with a slope of 1/1

the y int is -2

plug into y=mx+b

y=x-2

Answer:

x- intercept = - 1, y- intercept = 2

Step-by-step explanation:

The x- intercept is where the graph crosses the x- axis

The graph crosses the x- axis at x = - 1 ← x- intercept

The y- intercept is where the graph crosses the y- axis

The graph crosses the y- axis at y = 2 ← y- intercept

Answer:

162

Step-by-step explanation:

6*7= 42. 42*2 = 84.

6*3=18. 18*2 = 36

7*3=21. 21*2 = 42.

84+36+42= 162

The correct answer is (a). The conclusion that the frequency of mothers' smoking is not related in any way to the incidence of influenza in their babies is a common correlation error.

The correct answer is (a) Conclusion: The frequency of mothers' smoking is not related in any way to the incidence of influenza in their babies. This conclusion makes a common correlation error by assuming that there is no relationship between smoking during pregnancy and the incidence of influenza in babies, just because there is a very low linear correlation coefficient.

It is important to note that correlation does not imply causation, and a low correlation coefficient does not necessarily mean that there is no relationship between the two variables. Therefore, this conclusion is invalid and incorrect.

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The probability of selecting two red marbles from a jar containing 5 red marbles, 3 blue marbles, and 2 white marbles, with replacement, is (5/10) * (5/10) = 1/4 or 0.25.

Since we are replacing the marble after each selection, the probability of selecting a red marble on the first draw is 5 out of 10, as there are 5 red marbles out of a total of 10 marbles in the jar. After replacing the marble, the jar remains with the same number of marbles, including 5 red marbles. Thus, the probability of selecting a red marble on the second draw is also 5 out of 10.

To find the probability of both events occurring, we multiply the individual probabilities together: (5/10) * (5/10) = 25/100 = 1/4 = 0.25. Therefore, the probability of selecting two red marbles is 1/4 or 0.25.

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A table is given to complete the arithmetic sequence.

To complete the table, we need to determine the common difference first:

Based on the table,

It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.

We have,

A triangular formula is used to calculate the area of a triangle, which is a polygon with three sides.

The formula for the area of a triangle is given by:

Area = 1/2 x base x height

where the base and height are two of the sides of the triangle.

If you want to calculate the area of a pentagon, you can use the formula for the area of a regular pentagon, which is given by:

Area = (5/4) x s² x tan(π/5)

where s is the length of one of the sides of the Pentagon.

Thus,

It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.

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Answer:

$138

Step-by-step explanation:

The price increased by $18