What is the equation of the line that passes through the point (6,3) has a slope of -1/3

Answers

Answer 1

Answer:

y = -1/3x + 5

Step-by-step explanation:

y = mx + b

so y = 3, x = 6, m = -1/3

then 3 = (-1/3)6 + b

3 = -2 + b

b = 5

so y = -1/3x + 5


Related Questions

To accurately display the mobile home category on a pie chart, an angle that is approximately ________ would need to be created.

Answers

To accurately display the mobile home category on a pie chart, an angle that is approximately 131 degrees (2912/8000 x 360 = 131) would need to be created.

A pie chart is a circular statistical chart divided into slices to show numerical ratios. In a pie chart, the arc length of each slice is proportional to the quantity it represents.

Pie charts can be used to show percentages of a whole and represent percentages at a particular point in time. Unlike bar and line charts, pie charts do not show changes over time.Next page describes the different parts of a pie chart.

Pie Chart is a chart type that displays data as a pie chart. Each part of the chart is proportional to the overall proportion of each category. That is, each piece of the pie is relative to the size of that category across groups.

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find the volume of the prism help pls i will give 5 star and brainliest

find the volume of the prism help pls i will give 5 star and brainliest

Answers

80 ( i think )

sorry if it's wrong but im pretty sure that is it

The graph shows the number
of votes each apple received. How many people
were surveyed? Identify the property you used.

Answers

3’9000 bc the boat never sank into the triangle of Alaska

Consider the number pattern -6, -11, -16, -21..... Which term of the pattern =-401?​

Answers

Answer:

First get the formula for your pattern in the form of TN. Where d represents your difference and a represents your first term. Then equate the -401 to your formula and solve for n

Consider the number pattern -6, -11, -16, -21..... Which term of the pattern =-401?
Consider the number pattern -6, -11, -16, -21..... Which term of the pattern =-401?

Kenisha is about to call a Bingo number in a classroom game from 1-
75.
1. Describe an event that is likely to happen, but not certain, for the
number she calls.
2. Describe an event that is unlikely to happen, but not impossible, for
the number she calls.
3. Describe an event that is certain to happen for the number she calls.

PLEASE HELP WILL VOTE BRANLIEST ONLY IF ANSWER IS CORRECT 10 POINTS !!!!!!!!!

Answers

1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it will be an odd number. Since there are 75 numbers in total and half of them are odd, there is a higher probability that the number called will be odd.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it will be a perfect square. There are only a few perfect square numbers between 1 and 75, so the chances of calling a perfect square number are lower compared to other numbers.

3. An event that is certain to happen for the number Kenisha calls is that it will be a number between 1 and 75. Since the numbers in the game range from 1 to 75, any number called by Kenisha will definitely fall within this range.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

If paul puts 300 dollars in a saving account that earns 3% interest how much interest will he earn after 2 years?​

Answers

Answer:

\( \boxed{18 \: dollars}\)

Step-by-step explanation:

Principal ( P ) = $ 300

Rate ( R ) = 3%

Time ( T ) = 2 years

Now, let's find the simple Interest:

I = \( \mathsf {\frac{PTR}{100} }\)

\( \mathsf{ = \frac{300 \times 2 \times 3}{100} }\)

\( \mathsf{ = \frac{1800}{100} }\)

\( \mathsf{ = 18}\)

Extra information:

Simple Interest

In our daily life when we borrow a sum of money either from a moneylender or from any financial company, we have to pay the money back by adding with extra sum of money. This borrowed money is called principal. The extra money to be paid for the borrowing money is called interest , which is paid after certain duration in certain rate. At last, the borrowed money should be paid back along with interest which is called amount.

Interest is based on three factors : Principal ( P ) , Rate of interest ( R ) and Time ( T ). While computing the interest, the rate must be in percent and time in years.

\( \mathsf{ \: simple \: interest \: = \frac{PTR}{100} }\)

On simplifying

\( \mathsf{p = \frac{I \times 100}{T \times R} }\)

\( \mathsf{t = \frac{I \times 100}{P \times R} }\)

\( \mathsf{r = \frac{I \times 100}{P \times T}} \)

And from the definition,

Amount ( A ) = Principal ( P ) + Interest ( I )

Principal ( P ) = Amount ( A ) - Interest ( I )

Interest ( I ) = Amount ( A ) - Principal ( P )

Hope I helped!

Best regards!

Answer:$18

Step-by-step explanation:3% of $300 is $9.$9 is the interest of 1 year so the interest of 2 years is 2 multiplied by 9 which is $18.

What do we do to both sides of this equation to solve?

5x=20

Question 3 options:

Add 5 to both sides


Subtract 5 from both sides


Multiply both sides by 5


Divide both sides by 5

Answers

Hello there! :)

Answer:

Divide both sides by 5

Step-by-step explanation:

we are given an equation 5x=20.

First, Add 20 to both sides

\(\boxed{x=\frac{20}{5} }\)

Then, Divide both sides by 5.

\(\boxed{x=4}\)

Divide 20 by 5 to get 4.

And there you go Our answer is Divide by sides by 5.

-Hope this helps

-Have an awesome weekend :)

\(-Yuri-\)

The circle above has center O , the length of arc ADC is 5pi , and x=100 . What is the length of arc ABC?

Answers

The length of arc ABC is (25/18)π.

What is length of arc?

Using the formula Length of an Arc = Ф*r, where is in radians, one may determine the arc length of a circle given its radius and central angle.

Since the length of arc ADC is 5π and the circle has a total circumference of 2πr, we can find the angle that arc ADC subtends at the center of the circle:

5π = (5/2) × 2πr

r = 5/2

Now we can use the same formula to find the length of arc ABC:

arc ABC = x/360 × 2πr

arc ABC = 100/360 × 2π(5/2)

arc ABC = (5/18)π × 5

arc ABC = (25/18)π

Therefore, the length of arc ABC is (25/18)π.

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T/F. he triple exponential smoothing method uses seasonality variations in the analysis of the data.

Answers

False. The triple exponential smoothing method does consider seasonality variations in the analysis of the data, along with trend and level components, to provide accurate forecasts.

The statement is false. Triple exponential smoothing, also known as Holt-Winters method, is a time series forecasting method that incorporates trend and seasonality variations in the analysis of the data, but it does not specifically use seasonality variations.

Triple exponential smoothing extends simple exponential smoothing and double exponential smoothing by introducing an additional component for seasonality. It is commonly used to forecast data that exhibits trend and seasonality patterns. The method takes into account the level, trend, and seasonality of the time series to make predictions.

The triple exponential smoothing method utilizes three smoothing equations to update the level, trend, and seasonality components of the time series. The level component represents the overall average value of the series, the trend component captures the systematic increase or decrease over time, and the seasonality component accounts for the repetitive patterns observed within each season.

By incorporating these three components, triple exponential smoothing can capture both the trend and seasonality variations in the data, making it suitable for forecasting time series that exhibit both long-term trends and repetitive seasonal patterns.

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Question below. Please leave a step-by-step! I am having issues finding this out without another bottom.

Question below. Please leave a step-by-step! I am having issues finding this out without another bottom.

Answers

The length of side qs in triangle qrs is 6 units.

What is the length of side of a similar triangle?Two objects are similar in Euclidean geometry if they have the same shape or one has the same shape as the mirror image of the other. One can be obtained from the other by uniformly scaling (enlarging or contracting), possibly with additional translation, rotation, and reflection.When all three sides of a triangle are proportional to the three sides of another triangle, the two triangles are said to be similar.

Given:

On the abc triangle,

ab = 5, ac = 3

And the qrs triangle,

qr = 10, qs = x(we have to find)

Because both triangles are similar, the ratio of their sides must also be congruent.

ac / qs = ab / rq

3/ x = 5/10

3/x = 1/2

x = 3(2)

x = 6

Therefore the length of side qs is 6 units.

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Natasha used 21 square tiles to make a rectangle. Which of the following could be the dimensions of her rectangle?

A: 21x21 C: 5x6

B: 7x3 D: 4x7

Answers

Answer:

7×3

Step-by-step explanation:

option b

i hope it is helpful for you

Answer:  B. 7x3

This is because 7 times 3 = 21. The other answer choices do not multiply to 21.

Think of it like having 7 rows and 3 columns to give 21 squares overall to make this larger rectangle.

The Perez family went out to dinner. The price of the meal was $39.75. The sales tax was 7% of the price of the meal. The tip was 15% of the meal and the sales tax. How much money did the Perez family pay for the meal, including tax and tip?

Answers

Answer:

$48.91

Step-by-step explanation:

100% is 1 so 7% would be 0.07

times $39.75 by 0.07 to get the amount the tax would add which is $2.78

then add the two $39.75 + $2.78 = $42.53

then remove the tip which as we saw earlier convert the 15% to 0.15

times $42.53 by 0.15 to get the amount the tip would add which is $6.38

then add $6.38 to the total amount which would be $48.91

What is the domain when the range is 58, using the function A(n) = -5+ (n - 1)(3)?

Answers

Answer

n = 22

Explanation

We are given that

A(n) = -5 + (n - 1)(3)

A(n) = 58

58 = -5 + (n - 1) (3)

58 = -5 + 3n - 3

58 = 3n - 8

3n - 8 = 58

3n = 58 + 8

3n = 66

Divide both sides by 3

(3n/3) = (66/3)

n = 22

Hope this Helps!!!

A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 60 subjects who participate in the study, 21 prefer the instant coffee. Let p be the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee. (In practical terms, p is the proportion of the population who prefer fresh-brewed coffee.)
(a)
Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the large-sample z statistic. (Round your answer to two decimal places.)

Answers

The given data is,A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers.

Of the 60 subjects who participate in the study, 21 prefer the instant coffee. We need to find the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee, let's say p. The formula to calculate the proportion of the population is:

p = (n1 + n2) / (x1 + x2)n1 and n2 are the sample sizes of two categories and x1 and x2 are the number of favorable outcomes from the respective categories. Here, n1 = n2 = 60 and x1 = 39 (since 21 out of 60 prefer instant coffee, the remaining 39 must prefer fresh-brewed coffee).Now, p = (60 + 60) / (39 + 21) = 1.2. Since p is a probability, it must be between 0 and 1. But here, p is greater than 1, which is not possible. Therefore, there is an error in the given data and we cannot proceed with the calculation.

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{2x+7y=-20
{x-3y=16
Solve for systems of equations

Answers

By solving the linear equations we get the final values of x = 4 & y = 4.

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  term are included.

We have,

               2x + 7y = -20           ----------(i)

                x - 3y = 16               ----------(ii)

By multiplying equation (ii) with 2 we get,

               2x + 7y = -20 ---------(III)

               2x - 6y = 32 -----------(IV)

taking subtraction of equations (III) and (IV), we get

               y = 4

by putting value of y in equation (ii) we get,

               x = 4

Hence by solving the linear equations we get the values of x = 4 & y = 4.  

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Help out asap, fairly easy question, Algebra 1

Help out asap, fairly easy question, Algebra 1

Answers

The equation for the exponential function in the table of ordered pairs (x, y) is; y = 3·6ˣ

What is a form of an exponential function equation?

An exponential function or equation can be presented as follows;

y = a·bˣ, where; x is the input  variable and y is the value of the function.

The values in the table of the ordered pair indicates;

(-1, 1/2), (0, 3), (1, 18)

1/2 = a·b^(-1)

3 = a·b^(0) = a

a = 3

1/2 = 3·b^(-1) = 3/b

b = 3/(1/2) = 6

The possible exponential function is; y = 3·6ˣ

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Please help me answer.

Please help me answer.

Answers

Answer:

Slope-intercept: y=3/4x+1

Sorry idk how to do general form

Step-by-step explanation:

Slope-intercept form is y=mx+b, m being the slope, b being the y-intercept.

The slope of this graph is 3/4, and the y-intercept is 1.

Answer:

Slope-intercept form: \(y=\frac{3}{4}x+1\)

General form: \(-3/4x+y-1\)

Step-by-step explanation:

Firstly, to get the slope intercept form, we need to find the slope and the y-intercept.  To find the slope, we can use the slope formula and calculate the "rise over run" for these two points. The coordinate of the first point is (0, 1) , and the coordinate of the second point is (4, 4). If x1 = 0, x2 = 4, y1 = 1, and y2 = 4, we can plug those values into the slope formula that I mentioned earlier, which is \(\frac{y_{2}-y_{1}}{x_{2}-{x_{1}}}\). So, after we plug in those values we get in the two points, we can see that \(\frac{4-1}{4-0}\), so the slope is \(\frac{3}{4}\). The x moves right 4 times and the y goes up 3 times. Finally, the y-intercept value is 1 because when x = 0, y is 1, and the point we used for the slope formula (0, 1) proves that. For the slope-intercept form, \(mx+b\), where m is the slope and b is the y-intercept, m is \(\frac{3}{4}\) and b is 1. So, our final answer for the slope-intercept form is \(y=\frac{3}{4}x+1\). Now we can find the general form. To do this, we must get one side of the equation to equal 0. Using our slope-intercept equation, \(y=\frac{3}{4}x+1\), we can subtract y from both sides to get 0 on the left, like this: \(0=\frac{3}{4}x+1-y\). Then, we can rearrange the variables to general form: \(0=\frac{3}{4}x-y+1\\\). That is our general form answer. To recap, to find the slope, find the coordinates of the two points, and then plug in those points into the slope formula to find the steepness of the line. Then, add the y intercept that we can see on the graph. For general form, subtract y from both sides and rearrange the equation. Hope this helps!

2. Which of the following is the formula in solving for the area of
a circle?
A. A= 2TTI B. A= T12
C.A= id D. A=2 TT12
2
Thodi​

Answers

Answer:

πr²

Step-by-step explanation:

Answer:

formula- TTr2

what is 3 and 1/6 as an improper fraction

Answers

Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Can someone help me pls

Can someone help me pls

Answers

Answer:

12.3 foot i think

Step-by-step explanation:

P.S. there will be no shadow of the boy if he is standing next to the statue because the shadow of the statue will cover him

just for fun

19y + 15x
Greatest common factor?

Answers

Answer:

1

Step-by-step explanation:

Greatest common factor of 19y + 15x is 1.

Answer: its 1

tacosarethebestyouknow:3

In a game of chance, players spin the pointer of a spinner with six equal-sized sections.



Part A
What is the sample space of the game?
A. {1, 2, 3, 4}
B. {1, 1, 2, 2, 3, 3, 4, 4}
C. {1, 1, 1, 2, 3, 4}
D. {1, 2, 2, 3, 4, 4}

Part B
What are the probabilities of each outcome in the sample space? Select all that apply.
A. P(1) =16

B. P(1) = P(2) = P(3) = 16

C. P(2) = P(3) = P(4)
D. P(1) = 12

E. P(4) = 16

Answers

The sample space of the game is: S = {1, 2, 3, 4, 5, 6}.

What is Probability?

The idea of probability describes the possibility of an event happening.

We frequently have to make forecasts about the future in real life.

We may or may not be aware of the outcome of an event.

When this happens, we declare that there is a chance the event will take place.

In summary, probability has a wide range of fantastic applications in entertainment, business, and this recently expanding branch of artificial intelligence.

The probability formula can be used to determine the likelihood of an event by only dividing the favorable number of possibilities by the entire number of possible outcomes.

S = {1, 2, 3, 4, 5, 6}

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I need help asap, please show the work in detail Convert to slope intercept form.3y = 2x +9

Answers

To find the slope intercept form, solve the equation for y.

\(\begin{gathered} 3y=2x+9 \\ y=\frac{2x+9}{3} \\ y=\frac{2}{3}x+\frac{9}{3} \\ y=\frac{2}{3}x+3 \end{gathered}\)

Solve the equation for x:

\(\begin{gathered} 3y=2x+9 \\ 2x+9=3y \\ 2x=3y-9 \\ x=\frac{3y-9}{2} \\ x=\frac{3}{2}y-\frac{9}{2} \end{gathered}\)

Simplify $\left(4x^{9/2}\right)\left(\frac12x^{1/2}\right)$.

Answers

The simplified expression is 2x⁵.

To simplify the expression \(\left(4x^{9/2}\right)\left(\frac12x^{1/2}\right)\), we can multiply the coefficients and combine the variables with the same base.

Multiplying the coefficients: \(4 \times \frac12 = 2\)

Multiplying the variables with the same base:

\($x^{9/2} \times x^{1/2} = x^{\left(\frac92 + \frac12\right)} = x^{10/2} = x^5$\)

Putting it all together, the simplified expression is \(2x^5\)

Hence the simplified expression is 2x⁵.

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simplify: (4x)(-x^2)(5x^3)

Answers

Answer:

-20 x^6

Step-by-step explanation:

(4x)(-x^2)(5x^3)

Multiply the numbers

4*-1 *5 = -20

Add the exponents

x^1 * x^2 * x^3

x^(1+2+3)

x^6

Multiply back together

-20 x^6

Answer:

The answer is

\( - 20 {x}^{6} \)

Step-by-step explanation:

(4x )( - x²)(5x³)

Expand the terms

That's

-4x³( 5x³)

Next multiply the numbers

That's

- 20( x³)(x³)

Using the rules of indices multiply the x's in the expression

That's

\( {a}^{x} \times {a}^{x} = {a}^{y + y} \)

So we have

\( {x}^{3} \times {x}^{3} = {x}^{3 + 3} = {x}^{6} \)

We have the final answer as

\( - 20 {x}^{6} \)

Hope this helps you

find the next terms for this equation

find the next terms for this equation

Answers

Answer:

The next  4 terms are -2.4, -8, - 13.6, 19.2.

Step-by-step explanation:

u1 = u0 - 5.6

= 3.2 - 5.6

= -2.4.

u2 = u1 - 5.6

= -2.4 - 5.6

= -8.

3. Roll the die on the game 8 times and record which car would move. What is the empirical probability of how many times the red car moves in 8 rolls

Answers

The empirical probability of the red car moving a specific number of times in 8 rolls of the die can be estimated by rolling the die many times and counting the number of times the red car moves a specific number of times, then dividing this count by the total number of rolls.

Assuming that the probability of the red car moving is independent and equal for each roll, the number of times the red car moves in 8 rolls can be modeled using a binomial distribution.

Let's say that the probability of the red car moving in a single roll is p, and we want to find the empirical probability of the red car moving k times in 8 rolls.

To find the empirical probability, we would need to roll the die 8 times and record how many times the red car moves. We can repeat this process many times to collect a large sample of outcomes and estimate the probability based on the proportion of times the red car moves k times in 8 rolls.

For example, if we roll the die 8 times and observe that the red car moves 4 times, we would record that as 4 occurrences of the red car moving in 8 rolls. We can repeat this process many times and record the number of occurrences for each possible value of k (from 0 to 8).

Then, we can calculate the empirical probability of the red car moving k times in 8 rolls as:

The empirical probability of k red car moves = (number of occurrences of k red car moves) ÷ (total number of trials)

For each value of k, we would calculate this empirical probability based on the collected sample.

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the members of the marketing team for a bank want to know how saturated the market is before the bank releases a proposed new credit card to the general public. the marketing team polls 20 randomly selected customers by email to ask how many credit cards they already own. the dataset is included below. use excel and the quartile.inc function to construct a box and whisker plot for the dataset. what is the value of the minimum for this dataset?

Answers

It will be used to construct the box, while  will be the line inside the box.The box and whisker plot is shown below:Minimum value for the given dataset is 1. Thus, the value of the minimum for this dataset is 1.

A box and whisker plot (also known as a box plot) is a graph that displays the distribution of a dataset using quartiles. Excel and the QUARTILE.INC function can be used to construct a box and whisker plot for the given dataset.The dataset has been included below.Number of credit cards: 3, 4, 3, 1, 2, 3, 4, 1, 2, 3, 1, 2, 1, 1, 1, 2, 2, 2, 1, 3To find the minimum value of the dataset, the box and whisker plot should be constructed first. The quartile.inc function in Excel will be used to construct the plot.Using the quartile.inc function, the first quartile (Q1), second quartile (Q2), and third quartile (Q3) are calculated for the dataset. It will be used to construct the box, while  will be the line inside the box.The box and whisker plot is shown below:Minimum value for the given dataset is 1. Thus, the value of the minimum for this dataset is 1.

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Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan

Answers

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Solve the equation. Explain your steps.

Solve the equation. Explain your steps.

Answers

Answer:

x=-36

Step-by-step explanation:

x+1=-35 (divide both sides by 5)

x=-36 (subtract 1 from each side)

Other Questions
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