Find the slope from two points

The number whose three times the reciprocal of a positive number equals 9 times the reciprocal of 6 is 2.

Let the positive number be x. The three times reciprocal of the positive number will be 1/x × 3. The reciprocal of 6 will be 1/6.

Equating the values that represent Left Hand Side and Right Hand Side of the equation -

3×1/x = 9×1/6

Performing multiplication on both sides of the equation

3/x = 9/6

Rewriting the equation according to x

x = 3×6/9

Performing multiplication and division on Right Hand Side of the equation

x = 2

Thus, the number is 2.

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Answer and Explanation:

Brielle will run the marathon faster.

Work:

Brielle: 13.1/1.25=10.48*10=104.8 minutes

Joshua: 13.1/1.5=8.73...*18=157.2 minutes

Brielle finished in 104.8 minutes.

Joshua finished in 157.2 minutes.

Brielle finished the half marathon race by 52.5 minutes faster than Joshua.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Brielle will run the marathon faster. Brielle will take 104.8 minutes to finish the race and  Joshua will take 157.2 minutes to finish the race.

The division is simply dividing a number by another number.

Given in the question the marathon race is of 13.1 miles long.

Brielle takes 10 minutes to cover 1.25 miles.

So to cover 1 mile he will take = 10/1.25=  8 minutes

So to finish the marathon race i.e. to cover 13.1 miles he will take the time= 8*13.1= 104.8 minutes.

Joshua takes 18 minutes to cover 1.5 miles.

So to cover 1 mile he will take = 18/1.5=  12 minutes

So to finish the marathon race i.e. to cover 13.1 miles he will take the time= 12*13.1= 157.2 minutes.

So from above, it is clear that Joshua is taking more time than Brielle to finish the race.

Brielle will run the marathon faster as he takes less time to finish.

Therefore Brielle will run the marathon faster. Brielle will take 104.8 minutes to finish the race and  Joshua will take 157.2 minutes to finish the race.

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The correct answer is: C No, it doesn't support the 70% population proportion because there was not a substantial amount of data with a 90% proportion, indicating that it's not a likely outcome.

The simulation data suggests that the proportion of residents wishing for more walking trails may not be as high as 70%, as indicated by the city's report. Instead, the survey of 50 people showed a higher proportion of 90%.

Since the simulations did not yield any data with a 90% proportion or higher, it suggests that a 90% proportion is not a likely outcome based on the assumptions of the simulation. This lack of support for a 90% proportion implies that the reported 70% population proportion may be questionable or needs further investigation.

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Regarding resolving the given issue, we have Therefore, the system has one solution: (x,y) = (13/6, -21/2)

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

a)

To solve the system, we can multiply the first equation by -2, then add the two equations:

\(-6x + 2y = -34\\6x + 2y = -8\\0x + 4y = -42\\y = -42/4\\y = -21/2\\3x - (-21/2) = 17\\3x + 21/2 = 17\\3x = 17 - 21/2\\3x = 13/2\\x = 13/2 * 1/3\\x = 13/6\\\)

Therefore, the system has one solution: (x,y) = (13/6, -21/2)

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Answer:

5x/x-4

Step-by-step explanation:

Quiz Verified

To start calculating the volume of the cone, we obtain the following data:

To calculate the volume of a cone, we apply the following formula:

\(\boldsymbol{\sf{V=\dfrac{\pi r^{2}h }{3} }}\), where

We solve, substituting our data in the formula:

taking the square root

Multiplying

Dividing

Therefore the volume of the cone is 144 cm³.

\(\huge\text{Hey there!}\)

\(\huge\textbf{What is the formula for finding the}\\\\\huge\textbf{the volume of a cone?}\)

\(\large\boxed{\mathsf{\dfrac{\pi \times r^2\times h}{3} = volume}}\)

\(\bullet\large\textsf{ Whereas, \boxed{r} is your \underline{radius}, \boxed{h} is your \underline{height}, \& \boxed{\pi} is your pi.}\)

\(\bullet\large\textsf{The pi }\boxed{(\pi)}\large\textsf{ is approximately equal to 3.14.}\)

\(\huge\textbf{What are the labels in your equation?}\)

\(\star\ \large\boxed{{Radius}}\rightarrow \textsf{\underline{4\ centimeters}}}}}\)

\(\star\ \large\boxed{{Height}}\rightarrow \textsf{\underline{9\ centimeters}}}}}\)

\(\star\ \large\boxed{{\pi}}\rightarrow \textsf{\underline{3}}}}}\)

\(\huge\textbf{What does should the equation look}\\\\\huge\textbf{like?}\)

\(\large\boxed{\mathsf{\dfrac{3 \times 4^2 \times9}{3}}}\)

\(\huge\textbf{What are the steps to solve for the}\\\\\huge\textbf{question to get the result?}\)

\(\large\boxed{\mathsf{\dfrac{3 \times 4^2 \times9}{3}}}\)

\(\large\boxed{\mathsf{= \dfrac{3\times4\times4\times9}{3}}}\)

\(\large\boxed{= \mathsf{\dfrac{3\times16\times9}{3}}}\)

\(\large\boxed{\mathsf{= \dfrac{48\times9}{9}}}\)

\(\large\boxed{\mathsf{= \dfrac{432}{3}}}\)

\(\large\boxed{\mathsf{= \dfrac{432 \div 3}{3\div3}}}\)

\(\large\boxed{= \mathsf{\dfrac{144}{1}}}\)

\(\large\boxed{\mathsf{= 144\div1}}\)

\(\large\boxed{= \textsf{144}}\)

\(\huge\textbf{What is the result to this question?}\)

\(\huge\boxed{\frak{144\ cm^3}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The option (a) 12 ounces of beer (360ml) contain more alcohol

Alcohol content is something that is important to understand, especially if you are of legal drinking age. It can affect your health and your ability to make sound decisions.

First, let's start with 12 ounces of beer. A typical beer has an alcohol content of around 5%, which means that 12 ounces of beer contains 0.6 ounces (18 ml) of alcohol. This is the same as the fourth option.

Next, let's consider 4 ounces of wine. The alcohol content of wine varies depending on the type and brand, but a typical wine has an alcohol content of around 12%. This means that 4 ounces of wine contains 0.48 ounces (14.2 ml) of alcohol.

Finally, we have 1.5 ounces of spirits. The alcohol content of spirits is generally higher than beer and wine, with a typical range of 40-50%. For the sake of this comparison, let's assume the spirits have an alcohol content of 40%. This means that 1.5 ounces of spirits contains 0.6 ounces (18 ml) of alcohol, the same amount as 12 ounces of beer.

So, in summary, 12 ounces of beer and 1.5 ounces of spirits contain the same amount of alcohol, which is 0.6 ounces (18 ml). 4 ounces of wine contains less alcohol, with 0.48 ounces (14.2 ml).

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a) Tim's monthly payment amount is $576.32.

b) Tim's monthly payment amount at an annual rate of 3.8% would be $560.69.

a) Tim's monthly end-of-month payment amount, with a down payment of $6,100 and a financing rate of 5% over 36 months, will be approximately $608.89.

b) If the dealer were willing to finance the balance of the car price at an annual rate of 3.8%, Tim's monthly payment amount would be different. However, without knowing the specific terms of the financing (such as down payment or loan duration), I cannot provide an exact amount.

a. Tim's monthly payment amount, we can use the formula for the monthly payment on a loan:

Monthly Payment = P × (r(1 + r)^n) / ((1 + r)^n - 1)

Where:

P = Principal amount (loan balance)

r = Monthly interest rate

n = Number of months

Principal amount (loan balance) = $26,000 - $6,100 (down payment) = $19,900

Annual interest rate = 5%

Number of months = 36

First, we need to convert the annual interest rate to a monthly interest rate:

Monthly interest rate = 5% / 12 = 0.05 / 12 = 0.0041667 (rounded to four decimal places)

Now, substituting the values into the formula:

Monthly Payment = $19,900 × (0.0041667(1 + 0.0041667)^36) / ((1 + 0.0041667)^36 - 1)

Calculating this expression gives us:

Monthly Payment ≈ $594.74 (rounded to the nearest cent)

Therefore, Tim's monthly (end-of-month) payment amount will be approximately $594.74.

We use the formula for the monthly payment on a loan, which takes into account the principal amount, monthly interest rate, and the number of months.

In this case, Tim's principal amount is $19,900 (the remaining balance after the down payment), the monthly interest rate is 0.0041667 (5% annual rate divided by 12), and the number of months is 36.

Substituting these values into the formula, we calculate the monthly payment to be approximately $594.74.

b. To calculate Tim's monthly payment amount with an annual interest rate of 3.8%, we can follow the same process as above.

Principal amount (loan balance) = $19,900

Annual interest rate = 3.8%

Number of months = 36

First, we need to convert the annual interest rate to a monthly interest rate:

Monthly interest rate = 3.8% / 12 = 0.038 / 12 = 0.0031667 (rounded to four decimal places)

Now, substituting the values into the formula:

Monthly Payment = $19,900 × (0.0031667(1 + 0.0031667)^36) / ((1 + 0.0031667)^36 - 1)

Calculating this expression gives us:

Monthly Payment ≈ $586.24 (rounded to the nearest cent)

Therefore, if the dealer were willing to finance the balance of the car price at an annual rate of 3.8%, Tim's monthly (end-of-month) payment would be approximately $586.24.

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The horizontal component of the force is 27.7 lb, and the vertical component is -16 lb.

The horizontal and vertical components of a force acting at an angle can be found using trigonometric functions. The horizontal component is equal to the magnitude of the force multiplied by the cosine of the angle, while the vertical component is equal to the magnitude of the force multiplied by the sine of the angle.

In this case, the force exerted by the man is 32 lb at an angle of 30° to the ground. The horizontal component of the force can be found by multiplying the magnitude of the force (32 lb) by the cosine of the angle (cos 30°), which gives:

Horizontal component = 32 lb x cos 30° = 27.7 lb

The vertical component of the force can be found by multiplying the magnitude of the force (32 lb) by the sine of the angle (sin 30°), but since the vertical direction is negative, the answer will be negative, so:

Vertical component = -32 lb x sin 30° = -16 lb

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Step-by-step explanation:

ln(x² - 25) = 0

x² - 25 ≤ 0

x² ≤ 25

x ≥ -5 or x ≤ 5

-5 ≤ x ≤ 5

ln(x² - 25) = 0 , -5≤x≤5

x² - 25 = 1

x² = 26

x = -√26 and √26 are the solution of the equation

Answer:

2

Step-by-step explanation:

Use the area of a triangle, given 3 points formula:

A:  (x1, y1) = (0,4)

B:  (x2, y2) = (2,4)

C:  (x3, y3) = (-1,6)

Area = 1/2|x1y2 - x2y1 + x2y3 - x3y2 + x3y1 - x1y3|  

plug in all the coordinates

Area = 1/2|(0·4) - (2·4) + (2·6) - (-1·4) + (-1·4) - (0·6)|

         = 1/2|0 - 8 + 12 + 4 - 4 - 0|

         = 1/2|-8 + 12 + 4 - 4|

         = 1/2|4|

         = 2

Answer:choice b

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

point B

4K = 10

4/4 K = 10/4 K

K = 5/2 = 2.5

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer:

x=10 cm

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + ( sqrt(200) )^2 = (sqrt(300))^2

x^2 +200 = 300

Subtract 200 from each side

x^2 +200-200 = 300-200

x^2 = 100

Take the square root of each side

sqrt(x^2) = sqrt(100)

x = 10

Answer:

Hi use the sine rule: answer: 26.43

Step-by-step explanation:

Answer:

a whole?????

Step-by-step explanation:

The total travel time to do the entire 2,688 km trip at a constant speed is 28 hours

In this question we have been given that 1,536 km of a road trip remaining after traveling for 12 hours.

We need to find find the total travel time to do the entire 2,688 km trip at a constant speed.

Let we are travelling at the speed of k km/hour

Given that 1,536 km of a road trip remaining after traveling for 12 hours.

Total distance =  2,688 km

so, the distance we've traveled = 2,688 km -  1,536 km

                                                     = 1152 km

We find the speed m.

We know that the formula for speed,

speed = distance/time

k = 1152/12

k = 96 km/hr

Let the total travel time = t hours

So, using speed formula,

k = 2,688/t

96 = 2,688/t

t = 2,688/96

t = 28 hours

Therefore, the  total travel time = 28 hours

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False. let a be a real square matrix. if a is diagonalizable then a is symmetric

Explanation: Diagonalizability and symmetry are two different properties of a square matrix. A real square matrix A is diagonalizable if it can be transformed into a diagonal matrix D through a similarity transformation with an invertible matrix P, i.e., A = PDP^(-1). A matrix is symmetric if A = A^T, where A^T is the transpose of A.

While it is true that every symmetric matrix is diagonalizable, the converse is not necessarily true. In other words, not every diagonalizable matrix has to be symmetric.

Conclusion: The statement "if A is diagonalizable then A is symmetric" is false because diagonalizability does not guarantee symmetry.

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The concept is Data Analysis,  which is the process of totally applying statistical tools to dissect data. The answer is options B, C, and D.

To help you consider data limitations, critically dissect correlations, examine the environment, and understand tool strengths and sins. Data analysis applies statistical and/ or logical ways to describe, illustrate, epitomize, and estimate data.

Data analysis helps individualities and associations make sense of data. Data analysts typically analyze raw data for insights and trends.

Limitations include:

Question

You're preparing a question-and-answer session that will follow your donation. Which styles help you to consider data limitations? elect everything that suits you.

A) exclude the outliers

B) Understand the strengths and sins of the tools

C) Critically dissect the correlations

D) Look at the environment

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Answer:

$13.76

Step-by-step explanation:

Cost at store A = $29.35

Cost at store B = $32.79

Difference in price at both stores :

Difference = store B - store A

Difference in price = $32.79 - $29.35 = $3.44

Extra cost to f purchasing 4 video games at store B:

Difference in price * number of video games

$3.44 * 4 = $13.76

Answer: The conversion of a raw score to a scaled LSAT score is a complex process that involves several steps. The Law School Admission Test (LSAT) is a standardized test used by law schools in the United States and Canada to assess applicants' critical thinking, reading comprehension, and analytical reasoning skills.

Here's a general overview of the process of converting a raw score to a scaled LSAT score:

- Raw score calculation: The raw score is the number of questions answered correctly on the LSAT. There is no penalty for incorrect answers, so it is in your best interest to answer every question, even if you are unsure of the correct answer.

- Equating: The LSAT is equated to account for differences in difficulty between test forms. This means that the raw scores of test-takers are adjusted so that the scaled scores are consistent across different test forms.

- Scaling: The raw scores are then scaled to a range of 120 to 180, with a median score of 150 and a standard deviation of 10. This scaling process allows for meaningful comparisons between test-takers, regardless of the difficulty of the specific test form they took.

It is important to note that the LSAT score is not based solely on the number of questions answered correctly, but also on the difficulty of the questions. This means that a high raw score on a particularly difficult test form may result in a lower scaled score than a lower raw score on a less difficult test form.

Step-by-step explanation:

Answer:

\(\boxed{f(x) = x + 2}\)

Step-by-step explanation:

The translation is horizontal translation.

The value of x is subtracted from 4, since the function is shifted 4 units to the right.

f(x - 4)

f(x) = (x - 4) + 6

f(x) = x + 2

Answer:

boink oink  

roses and red,

i am a stoner,

i peed on my face,

becuase i have  

a bo ner

Step-by-step explanation:

The equation in slope-intercept form of the line that passes through (6, −1) and (3, −7) is:y = 2x − 13.

To write an equation in slope-intercept form of the line that passes through (6, −1) and (3, −7), you will use the point-slope form, as follows:

y − y1 = m(x − x1),

where:

m = slope (or gradient) of the line, and

(x1, y1) = the coordinates of a point on the line.

Let us calculate the slope (gradient) of the line using the given points:

(6, −1) and (3, −7).

m = (y2 − y1)/(x2 − x1)

m = (−7 − (−1))/(3 − 6)

= −6/−3

= 2

Thus, the slope of the line is 2.

Using the coordinates of one of the points, say (6, −1), in the point-slope form, we obtain:

y − y1 = m(x − x1)y − (−1)

= 2(x − 6)y + 1

= 2x − 12

Subtracting 1 from both sides, we get:

y = 2x − 13

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Answer:

28

Step-by-step explanation:

54-26=28.

Answer:

24

Step-by-step explanation:

range=highest value -lowest value

Therefore, 54-29=24

Answer:

C. 41

Step-by-step explanation:

180 - 81 = 99

99+40 = 139

180 -139 = 41

An isosceles triangle has two equal angles and one different angle. The angle that is different is called the vertex angle.

We can see in the following image a representation of this problem:

The vertex angle is at the top, the two angles marked in yellow have to be equal because it is an isosceles triangle.

The vertex angle is 64° and we will call the yellow angles x:

Now, we use the following property of triangles:

• The sum of all of the angles inside a triangle is 180°

So we need to add the angles in the triangle of this problem and equal them to 180°:

Now we solve this equation for x. First, we add the like terms:

Now, subtract 64 to both sides:

Next, divide both sides by 2:

The value of x is 58°. (x represents the base angles).

Answer: The measures of the base angles are 58°