Write an equation for a line that is perpendicular to the line 6y – 9x = 12

Answer:

21/40

Step-by-step explanation:

Answer:

0.525 or 21/40. Find the LCM between the denominators which is 40.

Answer:

it would be number two.

Step-by-step explanation:

It's basically just asking which angles are similar. look at the angels and if you use a protractor you can do exact measurements. It looks complex but its not just go step by step, stay calm. Glad to help!

Answer:

∠ ABC = 108°

Step-by-step explanation:

The 2 given angles are vertically opposite and are congruent , that is

4x + 8 = 3x + 33 ( subtract 3x from both sides )

x + 8 = 33 ( subtract 8 from both sides )

x = 25

Then

∠ ABC = 3x + 33 = 3(25) + 33 = 75 + 33 = 108°

The value of upper quartile of the box plot is, 350.

We have to given that;

the Creekview History Museum kept track of how many people visited the museum each day last month.

Now, We know that;

The value of upper quartile of the box plot shown in right side of box.

Hence, By given box plot;

The value of upper quartile of the box plot is,

⇒ 350.

Thus, The value of upper quartile of the box plot is, 350.

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y = 6x is proportional.

Proportionality between x and y is defined if there is a constant of proportionality 'k' such that y = kx.

So here, the constant of proportionality in y = 6x is 6.

This equation also means that y varies directly with respect to x and then 6 is the constant of variation.

That is, y is directly proportional to x.

Then a change in y implies a corresponding change in x in the same direction as that of y.

If x increases, then y also increases and if x decreases, then y also decreases.

These changes are related to the constant of proportionality 6.

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Part A:  the perimeter of the enlarged garden is 15.36 meters.

A) The new length of the garden will be:

5.4 meters x 1.2 = 6.48 meters

The new width of the garden will be:

1.5 meters x 1.2 = 1.8 meters

The perimeter of the enlarged garden will be:

2(6.48 meters) + 2(1.8 meters) = 15.36 meters

Part B:

The original area of the garden is:

5.4 meters x 1.5 meters = 8.1 square meters

The new area of the garden will be:

6.48 meters x 1.8 meters = 11.664 square meters

The increase in area will be:

11.664 square meters - 8.1 square meters = 3.564 square meters

the area of the garden will increase by 3.564 square meters.

what is area?

In mathematics, the area is a measurement of the size of a two-dimensional region or surface, typically expressed in square units. It is the amount of space inside a closed shape or a surface, and is calculated by multiplying the length and width or height of the shape or surface.

The units used to express area can vary depending on the context and the system of measurement being used. For example, in the metric system, the most commonly used units for area are square meters (m²) and square centimeters (cm²), while in the imperial system, the most commonly used units are square feet (ft²) and square inches (in²).

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Given:

The sum of three numbers is 212 .

The ratio of the first to the second is 13:16 and that of the second to the third is 2:3.

To find:

The unknown numbers.

Solution:

We have,

First : Second = 13:16

Second: Third = 2:3

We need to combine these ratios, to get a single ratio for all three numbers.

Second: Third = 2×8:3×8 = 16:24

Now,

First: Second: Third = 13:16:24

Let the first, second and third numbers are 13x, 16x and 24x respectively.

\(13x+16x+24x=212\)

\(53x=212\)

\(x=\dfrac{212}{53}\)

\(x=4\)

So, the numbers are,

\(First=13x\)

\(First=13(4)\)

\(First=52\)

Similarly,

\(Second=16x\)

\(Second=16(4)\)

\(Second=64\)

And,

\(Third=24x\)

\(Third=24(4)\)

\(Third=96\)

Therefore, the three unknown numbers are 52, 64, 96.

Answer:

A

Step-by-step explanation:

Given

x = y² + 6y + 1

To complete the square

add/subtract ( half the coefficient of the y- term )² to y² + 6y

x = y² + 2(3)y + 9 - 9 + 1

  = (y + 3)² - 8

The vertex form of the equation of a parabola is,

⇒ x = (y + 3)² - 8

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The standard form of the equation of a parabola is,

⇒ x = y² + 6y + 1.

Now, We can simplify as;

⇒ x = y² + 6y + 1

⇒ x = y² + 6y + 9 - 9 + 1

⇒ x = (y + 3)² - 8

Thus, The vertex form of the equation of a parabola is,

⇒ x = (y + 3)² - 8

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Answer:

A

Step-by-step explanation:

Answer:

16. a

17. b

18 19 20 don't know

Answer:

43%

Step-by-step explanation:

18/42 ≈ 43%

Answer:

6 people

Step-by-step explanation:

     On a stem-and-leaf splot, each number in the "Leaf" section represents a data value.

-> See attached.

     If we count the values, we reach an answer of 6.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer: 6 people

Step-by-step explanation:

Their ages according to the table are 38, 40, 40, 40, 44 and 67

The claim that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is false.

A context level data flow diagram (DFD) is a particular kind of diagram that shows how various system components interact with one another. The main objective of building a DFD is to visually depict the data flow and system activities.

The highest-level diagram that shows the system's overall operation without going into specifics about particular processes or data stores is a context level DFD, also referred to as a Level 0 DFD.

The statement that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is untrue. This is so because the context level DFD reflects the total functionality of the system.

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Answer:

--------------------------------------

Initial height is the y-intercept of the line.

Yearly growth rate is the slope.

So we have:

The equation of the line with these constants is:

TheThe AVL tree built from the given values (which are 35, 49, 22, 27, 64, 60)  is identified as an alpha node at value 49.

To build an AVL tree, we start by inserting the values in the order given: 35, 49, 22, 27, 64, 60. As we insert the values, the AVL tree automatically balances itself to maintain the AVL property. After inserting all the values, the resulting AVL tree would have nodes for each value.

Among these values, the alpha node is identified as the node with the value 49. The alpha node is a special node in the AVL tree that may require additional balancing operations to maintain the balance factor. In this case, the value 49 is identified as the alpha node in the constructed AVL tree.

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We are given that Mike has $36, if he spends 1/3 of this amount, the amount spent is the product of 36 and 1/3, that is:

Therefore, he spends $12 on the movie.

Now we are told that he spends 2/9 of the money, therefore, he spent:

In total, he spent $8 on the sandwich.

The money he has left is:

Therefore, he can't buy an $18 dollars book.

The 95% confidence interval for the population mean SAT score is given as follows:

(1340, 1460).

The confidence interval is calculated using the t-distribution, as the standard deviation for the population is not known, only for the sample.

The bounds are obtained according to the equation defined as follows:

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

In which the variables of the equation are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

\(\overline{x} = 1400, n = 64, s = 240\)

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 64 - 1 = 63 df, is t = 1.998.

Then the lower bound of the interval is of:

1400 - 1.998 x 240/sqrt(64) = 1340.

The upper bound of the interval is of:

1400 + 1.998 x 240/sqrt(64) = 1460.

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The correct answer is Prediction intervals make sense since they account for both the vulnerability in evaluating the mean and the inconstancy of personal perceptions.

A confidence interval is an estimate of the range of values ​​over which the true population mean is likely to fall within the specified confidence level.

It is based on the sample mean and sample size and assumes that the variability of observations is constant across the range of predictor variables.

A prediction interval, on the other hand, is an estimate of the range of values ​​to which a single observation is likely at a given confidence level.

This accounts for both the uncertainty in estimating the mean and the variability of individual observations.

It is therefore wider than a confidence interval that only accounts for the uncertainty in estimating the mean.

Therefore, it makes sense that the prediction interval for y is wider than the confidence interval.  

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The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50

To find the change in profit (ΔP) when the number of units (Δx) increases by 5.

we need to evaluate the marginal profit function and multiply it by Δx.

The marginal profit function is given by dP/dx = 12.1(60 - 3x).

We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.

dP/dx = 12.1(60 - 3(121))

= 12.1(60 - 363)

= 12.1(-303)

= -3666.3

Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.

ΔP = dP/dx×Δx

= -3666.3 × 5

= -18331.5

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Step-by-step explanation:

x = number of polio vaccinations.

y = number of measles vaccinations.

in total 60 vaccinations means

x + y = 60

and remembering the doses needed per vaccination we get

4x + 2y = 184

out of the first equation we get

x = 60 - y

and we use that in the second equation

4×(60 - y) + 2y = 184

240 - 4y + 2y = 184

-2y = -56

y = 28

x = 60 - y = 60 - 28 = 32

Dr. Potter gave 32 polio and 28 measles vaccinations.

Answer:0.4813042802

Step-by-step explanation:

The more variable the data, the less accurate the sample mean will be as an estimate of the population mean. In statistical analysis, accuracy is important. Statistical analysis is a method of gathering and examining data to uncover useful information.

A sample mean is a numerical estimate that represents a data set's central tendency. The population mean, on the other hand, is a statistical measure that represents the mean value of the entire population. The difference between the two lies in the fact that sample mean is computed on a subset of the population whereas population mean is calculated for the entire population. If the variability of the sample data is large, the sample mean becomes less accurate as an estimate of the population mean.

As a result, the more variable the data, the less accurate the sample mean will be as an estimate of the population mean.Therefore, it is essential to examine the variability of the data in order to better estimate the population mean. The greater the variability in the data, the more difficult it becomes to identify the true population mean and the less accurate the sample mean is as an estimator of the population mean.

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The term that best describes the red line segment of the ellipse is minor axis . C

An eclipse can be defined as an astronomical event that occurs when an object or spacecraft is obscured as the shadow of another body passes or when another body pass between it and an observer.

The axis of an eclipse could major or minor.

The minor axis of an ellipse is the line that contains the shorter part of the two line segments about which the ellipse is symmetrical.  It is perpendicular to the major axis and passes through the center of the axis.

Therefore, the term that best describes the red line segment of the ellipse is minor axis . C

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Answer:

See below.

Step-by-step explanation:

2a. E = 8.25h + 1.2n

2b. E = 8.25 * 3.5 + 1.2 * 10 = $40.88

2c. 8.25 * 8 + 1.2n = 91.2

66 + 1.2n = 91.2

1.2n = 25.2

n = 21 magazines.

Answer:

In picture

Step-by-step explanation:

Please give brainliest if it helped, thanks!

The value of m and b of the given equation:

m = 1

b = 7

One or two variables make up a linear equation. Neither the numerator nor the denominator of a fraction can be a variable in a linear equation raised to a power higher than 1. All of the points on a coordinate grid sit on the same line when you identify the values that together make a linear equation true and plot those values.

the linear equation = 2 + 3x + 5 - 2x = y

simplifying the equation:

   (2 + 5) + (3x - 2x) = y

       7 + x = y

Comparing this linear equation to the slope-intercept form can help you better understand how it works.

y = mx + b

Where,

m = slope of the line'

b = y-intercept

comparing the equations we get:

m = 1

b = 7

The value of m and b of the given equation:

m = 1

b = 7

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Unconscious processing is a complex cognitive phenomenon that involves a wide range of mental activities that occur outside of our conscious awareness. It is not simply a group of answer choices or a set of predetermined responses that are guided by habit or well-established routines.

Rather, unconscious processing is a highly nuanced and multifaceted process that is guided by a variety of different factors, including our emotions, our past experiences, our cultural background, and our personal beliefs and values.

At the same time, it is important to note that unconscious processing is not entirely independent of our executive functions or our conscious awareness. While it may be composed of relatively specialized parts, such as our automatic reflexes and basic sensory processing systems, these parts are still intricately connected to the higher-level cognitive processes that govern our decision-making, problem-solving, and goal-oriented behavior.

In short, unconscious processing is a complex and dynamic process that involves a broad range of cognitive and emotional factors, and is intimately intertwined with our conscious awareness and executive functions.

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Answer:

y = 120

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when y = 72, x = 6, then

72 = 6k ( divide both sides by 6 )

12 = k

y = 12k ← equation of variation

When x = 10, then

y = 12 × 10 = 120

Answer:

3/5

Step-by-step explanation:

cos F = adjacent side/ hypotenuse

Cos F = 6/10

Cos F = 3/5

Answer:

6/10 which is 3/5

Step-by-step explanation: