What is the equation of the line that has a slope of -4 and goes through (-1,6)?

A.
y + 6 = -4(x + 1)
B.
y + 6 = -4(x − 1)
C.
y − 6 = -4(x + 1)
D.
y − 6 = -4(x − 1)

Answer:

Step-by-step explanation:

if the number is below 5, go down

if the number is 5 or above, go up

1,600 is closer to 2,000

1,483 is closer to 1,000

Then, 2000 > 1000

Answer:

Brainliest!

Step-by-step explanation:

1600 rounded is 2000

1483 rounded is 1000

Step-by-step explanation:

Using Pythagorean Theorem

  hypotenuse^2  = leg1^2  + leg2^2

4^2 = 3^2 + x^2

4^2 - 3^2 = x^2

7 = x^2

x = sqrt (7)

The reason that best support the statement, 45 + 30 = m ∠ABC is Substitution.

Adjacent angles are two angles that have a common side and a common vertex.

Two adjacent angles can be supplementary or complementary based on the sum of the measures of the individual angles. Therefore,

∠ABD and ∠DBC are adjacent angles.

Therefore,

m ∠ABD  + m ∠DBC = m ∠ABC

∠ABD  = 45°

∠DBC  = 30°

∠ABC = 75°

45 + 30 = m ∠ABC

The reason that best support the statement is substitution. This is because the value of ∠ABD  and ∠DBC are substituted to get ∠ABC. T

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To find the values of x for which an approximation is within a certain limit of the correct answer, we use the concept of Taylor series expansion.

The given equation is: 1/(1+x)This function can be represented as a power series expansion. The series expansion of 1/(1+x) is given as follows: 1/(1+x) = 1 - x + x² - x³ + x⁴ - x⁵ + ...We know that the Taylor series of a function gives the exact value of the function for a given value of x. The first few terms of the series give an approximation of the value of the function for a small range of values of x..

The function converges for |x| < 1.To find the values of x for which the approximation is within 0.003422 of the exact value, we use the formula for the error term of the Taylor series.The error term of the Taylor series is given as follows:Error term = [f(n+1)(c) / (n+1)!] * (x - a)^(n+1)Here, n = 2 (since we need to use three terms of the Taylor series to obtain an approximation of the value of the function within a certain limit) and a = 0 (since we expand around the point x = 0).c is a value of x that lies between 0 and x.

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If radius of sphere B is 5times radius of sphere A, then ratio of volume of sphere B to volume of sphere A is 125 , the correct answer is (c) .

Let the radius of the sphere B = r₁ , and

Let the radius of the sphere A = r₂ ;

So , The ratio of the volume of sphere B to the volume of sphere A is written as :

⇒ (Volume of sphere B)/(Volume of sphere A) = (4/3)πr₁³/ (4/3)πr₂³ ;

Simplifying the expression,

We get ,

⇒ (Volume of sphere B)/(Volume of sphere A) = (r₁/r₂)³ ,

It is given that the radius of sphere B is 5 times the radius of sphere A, which means that , r₁ = 5r₂ ,

Substituting the radius in the expression above,

We get ,

⇒ (Volume of sphere B)/(Volume of sphere A) = (5r₂/r₂)³ = (5)³ = 125 ;

Therefore, the ratio of volume of sphere B to sphere A is (c) 125.

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The given question is incomplete , the complete question is

If the radius of sphere B is 5times the radius of sphere A, then the ratio of the volume of sphere B to the volume of sphere A is

Select one:

(a) 0.008

(b) 25

(c) 125

(d) 5

(e) 0.2

Answer:

5,011

Step-by-step explanation:

#BrainyBrain

The polygon PQRS satisfies the conditions of being an equilateral polygon, where all sides and angles are equal.

Based on the given information, we can make the following observations about the polygon PQRS:

1. All sides are equal: pq = qr = rs = sp = 12.

2. All angles are equal: ∠p = ∠q = ∠r = ∠s = m.

Therefore, the polygon PQRS satisfies the conditions of being an equilateral polygon, where all sides and angles are equal.

A polygon is a closed geometric shape with straight sides. It is formed by connecting line segments called edges or sides. The sides do not intersect except at their endpoints. The endpoints of the sides are called vertices. Polygons can have different numbers of sides and angles, and they are named based on the number of sides they possess.

Some common examples of polygons include triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), and so on. Polygons can be regular, where all sides and angles are equal, or they can be irregular, where sides and angles may vary.

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27 km²

\(SA=4\pi Jr^2\)

  \(4\pi r^2_B=432\)

      \(r^2_B=\frac{108}{\pi}\)

      \(r_B=\frac{6\sqrt3}{\sqrt{50}}\)

\(r_A=\frac{r_B}{4}=\frac{3\sqrt3}{2\sqrt\pi}\)

\(S_0SA=4\pi Y\begin{matrix}2\\A\\\end{matrix}\)

         \(=4\pi\bullet\frac{27}{4\pi}\)

         \(=27\ km\)

   \(Y_B:Y_A=4=1\)

  \(SA_B:SA_A=16:1\)

                 \(432\div 16=27\ km^2\)

                          \(simple\ relation.\)

I hope this helps you

:)

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: 300 square meters

Step-by-step explanation: Since 12/6 is 2 hours we can just do 25x12 to get 300 square meters.

Hope this helps! :)

Answer:

300 square meters.

Step-by-step explanation:

2 divided by 1/6 equals 12.

12 x 25 equals 300.

Water main valves should be located at frequent intervals in a grid system.

The flow and temperature in pipes and plumbing fittings are controlled by water valves. The valves regulate steady flow and volume when they are correctly placed and used. Water valves are made of brass, plastic, stainless steel, bronze, cast iron, and galvanised pipe, among other materials.

The master cutoff valve for the house will typically feature a wheel (a gate valve) or a straight handle (ball valve). The wheel on gate valves (seen on the right) is turned clockwise until the water is shut off. To turn off the water, turn the handle of a ball valve a quarter turn in the opposite direction. Every house has two main water shutoff valves: one inside and one near the intersection of your property and the street.

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The surface area of the cone is 40π

A cone is a solid shape with a circular base and a tapered side.

Analysis:

surface area of a cone = πrl + π\(r^{2}\) = π( 6x4) + π(4 x 4) = 40π

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The number of people who waited at least 6 minutes is given as follows:

50 people.

The height of each bin of the histogram represents the number of observations of the data-set in the desired interval.

The desired outcomes for this problem are given as follows:

Hence the number of people who waited at least 6 minutes is given as follows:

20 + 15 + 10 + 5 = 50 people.

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The values of r for which\(y=e^rx\)is a solution of the given differential equation are: r = 6 and r = -4.

Given differential equation:

y'' -2y' -24y = 0

We have to substitute\(y=e^rx\)into the above differential equation to determine all values of the constant r for which \(y=e^rx\) is a solution of the equation.

Substituting \(y = e^(rx),\)

we get:

\(y' = re^(rx)\\y'' = r^{2} e^(rx)\)

Now, substituting these values in the given equation, we get:

\(r^{2} e^(rx) - 2re^(rx) - 24e^(rx) = 0\)

Factorizing\(e^(rx)\), we get:

\(e^(rx)(r^{2}  - 2r - 24) = 0\)

We know that e^(rx) is never zero.

So, we need to find the values of r such that:

r² - 2r - 24 = 0

Solving the above quadratic equation using factorization method, we get:

r² - 6r + 4r - 24 = 0

r(r - 6) + 4(r - 6) = 0

(r - 6)(r + 4) = 0

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There are 10 members on the board, so there are 10 ways to elect a president, 9 ways to elect a vice president, 8 ways to elect a secretary, and 7 ways to elect a treasurer.

This is because each position can be filled by any of the members, except for the position that the member is already filling. For example, the president can be elected from any of the 10 members, but the vice president must be elected from the remaining 9 members.

The company sea esta has ten members on its board of directors, so it has a lot of different options for how to elect a president, vice-president, secretary, and treasurer. One way to elect a president would be to have the board members vote on who they want to be president.

Another way to elect a president would be to have the members of the company vote on who they want to be president. There are many different ways to elect officers, and it really depends on the company and what they want to do.

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Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which:

From the sample and the significance level of 0.05, we have that the parameters are given by:

\(\overline{x} = 205.5, s = 14.2, n = 10, t = 2.2622\)

Hence:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 205.5 - 2.2622\frac{14.2}{\sqrt{10}} = 195.3\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 205.5 + 2.2622\frac{14.2}{\sqrt{10}} = 215.7\)

The 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

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The 95% confidence interval for the mean knowledge of the workers is approximately 58.554 to 66.446.

The critical value for a 95% confidence level using the standard normal distribution is approximately 1.96. This value corresponds to the two-tailed test with a confidence level of 95%. We will use this critical value to calculate the confidence interval.

Now, let's plug in the values into the formula:

Sample mean = 62.5

Standard deviation = 5.3

Sample size = 50

Critical value = 1.96

Confidence interval = 62.5 ± (1.96 * 5.3 / √50)

To calculate the square root of the sample size (√50), we find that it is approximately 7.07.

Confidence interval = 62.5 ± (1.96 * 5.3 / 7.07)

Simplifying further:

Confidence interval = 62.5 ± (0.745 * 5.3)

Confidence interval = 62.5 ± 3.946

Finally, we can calculate the lower and upper bounds of the 95% confidence interval:

Lower bound = 62.5 - 3.946 = 58.554

Upper bound = 62.5 + 3.946 = 66.446

This means that we can be 95% confident that the true mean knowledge of the entire population falls within this range based on the sample data provided by the baker.

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Based on the data provided by Connor, the correlation coefficient of the relationship is -0.84.

Correlation is used to determine the type of relationship that exists between two variables.

A negative correlation is when the two variables move in opposite directions. If one variable increases, the other variable decreases. A negative correlation has a negative sign in front of it.

The correlation coeffcieenct can be determined using a financial calculator.

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Tyrone needs to work as a host for 12 hours to earn enough money to buy the guitar.

Let x be the number of hours Tyrone works as a host in the next week. Then, the total amount earned by Tyrone next week is given by:

Total earnings = (hours worked as cashier × rate per hour) + (hours worked as host × rate per hour)

We know that Tyrone will work as a cashier for 18 hours, so the total amount he will earn is: 18 × $7.95 = $143.10We also know that the total cost of the guitar is $238.50.Thus, the amount of money Tyrone still needs to earn is:$238.50 - $143.10 = $95.40

To find out how many hours Tyrone needs to work as a host, we need to use the rate per hour, which is $7.95 per hour. Let x be the number of hours he works as a host. Then, the total amount he earns from working as a host is:$7.95xSo, we need to solve the equation:$7.95x = $95.40. Dividing both sides by $7.95 gives us :x = 12Therefore, Tyrone needs to work as a host for 12 hours to earn enough money to buy the guitar.

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Answer:

C) y = x-2

Step-by-step explanation:

0-2= -2

2-2= 0

3-2= 1

4-2= 2

And all of that checks out because the values I just got for y are the same as the table

hope this helps chu <3

first integer=x

second integer=x+1

third integer= x+2 (x + 1 + 1)

x + (x + 1) + (x + 2) = 36

Answer:

x=10

Step-by-step explanation:

-14x-9-2+34x-3-9x=0

x                             = 9 -2 + 3

x                             = 10

To find the value of x, we calculate the average of the sample observations. Summing up the observations and dividing by the total number of observations, we get:

x = (125 + 122 + 126 + 100 + 155 + 132 + 121 + 118 + 114 + 125 + 142 + 2 + 130 + 110 + 140 + 129 + 3) / 17 = 114.118 seconds (rounded to three decimal places).b) To find the value of R, we calculate the range of each sample by subtracting the minimum observation from the maximum observation. Then we find the average range across all samples:R = (155 - 100 + 142 - 2 + 140 - 110 + 132 - 114 + 142 - 3) / 5 = 109.2 seconds (rounded to three decimal places).

c) The Upper Control Limit (UCL) and Lower Control Limit (LCL) using 3-sigma can be calculated by adding and subtracting three times the standard deviation from the average:UCL = x + (3 * R / d2) = 114.118 + (3 * 109.2 / 1.693) = 348.351 seconds (rounded to three decimal places).LCL = x - (3 * R / d2) = 114.118 - (3 * 109.2 / 1.693) = -120.115 seconds (rounded to three decimal places).

d) The Upper Control Limit Range (UCLR) and Lower Control Limit Range (LCLR) using 3-sigma can be calculated by multiplying the average range by the appropriate factor:UCLR = R * D4 = 109.2 * 2.115 = 231.108 seconds (rounded to three decimal places).LCLR = R * D3 = 109.2 * 0 = 0 seconds.

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The correct option is B.

Rank

The RANK function in a Microsoft Excel spreadsheet enables users to order the various pieces of data by their numerical values. By entering an absolute value for the range of cells the user wants to rank, they can also use the rank function. If an absolute value is not specified, the program's auto-formula may cause the rank of the various cells to alter.

A spreadsheet is a computer program used for organizing, organizing, analyzing, and storing tabular data. Spreadsheets were created as electronic alternatives to paper accounting worksheets. Data typed into table cells serves as the program's input.

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To write the expression in its simplest form, we need to simplify each term and then combine like terms.

The first term of the expression is 2x²y. This term is already in its simplest form and doesn't require any further simplification.

The second term of the expression is xy. This term is also in its simplest form and doesn't require any further simplification.

The third term of the expression is -3x. This term is also in its simplest form and doesn't require any further simplification.

The fourth term of the expression is 12x.xy. To simplify this term, we need to distribute the 12 over the x and y. So, we get 12x.y.

Now that all terms are simplified, we can combine like terms. Since the terms xy and 12x.y are the same, we can add them together to get (12+1)xy = 13xy.

So, the expression in its simplest form is 2x²y + 13xy - 3x.

We can further simplify the above expression by combining x²y and xy together as (x²+1)xy = x³y

So, the final expression in its simplest form is x³y + 13xy - 3x.

Answer:

40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Let's solve for x by factoring this quadratic equation.

We first need to determine which two numbers multiply to -28 (c) but add to 3 (b).

The two numbers that multiply to -28 and add to 3 are 7 and -4.

Therefore, we can factor this equation like so:

Now, we can set this equation to 0 and solve for x.

If we look at each factor individually, we can determine the values of x:

Subtract 7 from both sides of the equation.

Now, let's look at the other factor:

Add 3 to both sides of the equation.

The solution of x^2 + 3x - 28 is x = -7, x = 4.

A ball's position, in meters, as it travels every second is 282.5 sec.

Combining things and counting them as one big group is done through addition. In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation. The sum is the entire value, and the addends are the integers that are being added. The mathematical operation of addition is the process of adding two or more numbers together to determine the total, or sum.

Given that,

The position function s(t) = 2.3t² + 225.

The velocity of the ball after 5 seconds is

s(t) = 2.3t² + 225.

t= 5

s(5) = 2.3(5)² + 225.

s(5) = 2.3(25) + 225.

s(5)= 57.5+ 225

s(5)= 282.5

Therefore,  it travels every second is 282.5 sec.

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