Let's work with the system
x+y=0
y = 2x + 6
graph y = 2x + 6?

Answer:

26

Step-by-step explanation:

65÷5, 3×2.

13x2+26

The area of an obtuse triangle can be found using the formula: Area = (1/2) * base * height.

To find the base and height of the triangle, we need to identify a right angle within the triangle. One way to do this is by drawing an altitude from one vertex to the opposite side.

Once we have the right angle, we can determine the base and height. The base is the length of the side to which the altitude is drawn, and the height is the length of the altitude itself.

Unfortunately, the given information does not provide any measurements or angles of the triangle. Therefore, we cannot calculate the area of the obtuse triangle accurately.  Hence, the answer cannot be determined with the given information.

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Answer:

area =  452.39 square units

circumference = 75.40 square units

Step-by-step explanation:

area = \(\pi r^{2}\)

r = 12

452.389

circumference = \(\pi *d\)

d = 2r

r = 12

d = 24

75.398

Area of the region inside the circle r=4cos(theta) and outside the circle r=2 is 4π/3 + 2√3

A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance. Both well-known Cartesian shapes like ellipses and some less well-known shapes like cardioids and lemniscates can be described by polar curves.

r = 1 − cosθsin3θ

Polar curves are more useful for describing paths that are an absolute distance from a certain point than Cartesian curves, which are good for describing paths in terms of horizontal and vertical lengths. Polar curves can be used to explain directional microphone pickup patterns, which is a useful application. Depending on where the sound is coming from outside the microphone, a directional microphone will take up sounds with varied tonal characteristics. A cardioid microphone, for instance, has a pickup pattern like a cardioid.

The area between two polar curves can be found by subtracting the area inside the inner curve away from the area inside the outer curve.

The figure attached shows the bounded region of the two graphs. The red curve is  r=4cos⁡(θ) and the blue curve is r=2.

The points of intersection of the two curves are

θ = π/3 and 5π/3

The area is calculated as follows:

Since the bounded region is symmetric about the horizontal axis, we will find the area of the top region, and then multiply by 2, so as to get the total area.

A = 2 \(\(\int_{0}^{\pi /3}\) ½ (4 cos (θ)² − ½ (2)² dθ

  =  \(\(\int_{0}^{\pi /3}\) 16 cos2 (θ) − 4dθ

  = \(\(\int_{0}^{\pi /3}\) 8 (1+cos(2θ)) − 4dθ

  =\(\(\int_{0}^{\pi /3}\) 4 + 8 cos (2θ) dθ

  = [4θ + 4sin (2θ)] \(\(\int_{0}^{\pi /3}\)

  = 4π/3 + 2√3

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The volume of the cylinder will increase by a factor of 4 if the radius of the cylinder doubles.

Volume is the amount of space occupied by a three-dimensional object or region of space and expressed in cubic units.

To get the volume of a cylinder, multiply the area of the circular base with the height:

V = \(\pi r^{2} h\)

where

r is the radius of the base (circle) of the cylinder

h is the height of the cylinder

Thus, the volume of cylinder directly varies with its height and directly varies with the square of its radius

So if the radius of the cylinder doubles,

V = \(\pi (2r)^{2}h\)

V = \(\pi (4r^{2}) h\)

V = \(4\pi r^{2} h\)

Then, the volume will increase by a factor of 4.

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The formula for calculating the arithmetic mean of a population is:Arithmetic mean (X¯) = (∑X) / NwhereX¯ = the arithmetic mean of the population,∑X = the sum of all the values in the population, andN = the number of values in the population.

So, if the population is 8, 3, 6, 3, and 6, we can calculate the mean by first finding the sum of all the values in the population.

∑X = 8 + 3 + 6 + 3 + 6 = 26

Now that we know the sum, we can use the formula to calculate the arithmetic mean.

X¯ = (∑X) / N= 26 / 5= 5.2

Therefore, the mean of the population is 5.2.To calculate the variance of a population, we use the formula:Variance (σ²) = (∑(X - X¯)²) / Nwhereσ² = the variance of the population,X = each individual value in the population,X¯ = the arithmetic mean of the population,N = the number of values in the population.Using the values in the population of 8, 3, 6, 3, and 6, we first calculate the mean, which we know is 5.2.Now we can calculate the variance.σ² =

(∑(X - X¯)²) / N= [(8 - 5.2)² + (3 - 5.2)² + (6 - 5.2)² + (3 - 5.2)² + (6 - 5.2)²] / 5= [7.84 + 5.76 + 0.04 + 5.76 + 0.04] / 5= 19.44 / 5= 3.888

So, the variance of the population is 3.888, rounded to two decimal places. Arithmetic mean is the sum of a group of numbers divided by the total number of elements in the set. If a population has five values such as 8, 3, 6, 3, and 6, the mean of the population can be calculated by finding the sum of the numbers and then dividing by the total number of values in the population. So, the mean of the population is equal to the sum of the values in the population divided by the number of values in the population.The variance of a population is a statistical measure that describes how much the values in a population deviate from the mean of the population. It is calculated by finding the sum of the squares of the deviations of each value in the population from the mean of the population and then dividing by the total number of values in the population. Therefore, the variance measures how spread out or clustered the values in the population are around the mean of the population.The formula for calculating the variance of a population is σ² = (∑(X - X¯)²) / N where σ² represents the variance of the population, X represents the individual values in the population, X¯ represents the mean of the population, and N represents the total number of values in the population. In the case of the population with values of 8, 3, 6, 3, and 6, the variance of the population is equal to 3.888. This value indicates that the values in the population are spread out from the mean of the population.

The mean of the population with values 8, 3, 6, 3, and 6 is 5.2, and the variance of the population is 3.888.

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The system of linear equation for the graph are: y = -1/3x + 3 and y = 3x - 7.

A system of linear equation is a combination of two linear equation. Each linear equation is made of algebraic equation that consists of variables, constant, and arithmetic operation.

To determine the linear equation on the graph, we need to find two points on the each line on the graph and determine the slope-intercept form.

For the first decreasing line to the left, we have the two points

(0, 3)(9,0)

Using the slope intercept form y = mx + b. The linear equation for the first line is: y = -1/3x + 3

For the second increasing line to the right, the two points are:

(3,2)(0,-7)

The linear equation for the second line is:

y = 3x - 7

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Yes it is correct that the expected value of a random variable can be interpreted as a long-run average.

The expected value of a random variable is a concept used in probability theory and statistics. It is a way to summarize the average behavior or central tendency of the random variable.

To understand why the expected value represents the average value that the random variable would take in the long run, consider a simple example. Let's say we have a fair six-sided die, and we want to find the expected value of the outcomes when rolling the die.

The possible outcomes when rolling the die are numbers from 1 to 6, each with a probability of 1/6. The expected value is calculated by multiplying each outcome by its corresponding probability and summing them up.

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Step-by-step explanation:

In x you can put the value which can given in question.

Perpendicular

Find the slope for the points (5, 10) and (1, 6)

The slope is calculated below

For the points (2,-6) and (-1, -3)

Note that:

Since the product of the two slopes is -1, the lines through the pairs of points are perpendicular

Answer: The length of the hypotenuse is  25

Step-by-step explanation:

Hi, to answer this question we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (the longest side) and a and b are the other legs of the triangle (vertical and horizontal leg)

Replacing with the values given:  

c^2 = 7^2 + 24^2  

c^2 = 49+576

c^2 = 625

c = √625

c = 25  

Feel free to ask for more if needed or if you did not understand something.  

The numeric values for the function y = 4x² are given as follows:

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function in this problem is given as follows:

y = 4x².

Hence, to obtain the numeric value at x = -3, we replace the lone instance of x by -3, hence:

y = 4(-3)² = 4 x 9 = 36.

The same procedure is applied to obtain the other numeric values.

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Answer:

16 and -16

Step-by-step explanation:

Answer: D. 16 and -16

Step-by-step explanation: I dont think you need an explanation because it is multiple choice.

Answer:

10.2956

Step-by-step explanation:

The distance  between (4,6) and (9,15) is √87.

The distance between the points P (\(x_1, y_1\))and Q (\(x_2, y_2\)) is

PQ = √\((x_2 - x_1\)) ² + (\(y_2 - y_1\))² , which is called the distance formula.

Given coordinates: (4,6) and (9,15)

Using distance formula:

=√\((x_2 - x_1\)) ² + (\(y_2 - y_1\))²

= √\((9 -5\)) ² + (\(15 -6\))²

=√\((4\)) ² + (9)²

= √16 + 81

=√87.

Hence, the distance between  (4,6) and (9,15) is √87 units.

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Based on the provided data, the dot plot that represents the number of text messages received by a group of 25 students in a day would show dots arranged vertically along a number line corresponding to the frequency of each value.

The number line would start from 8 and extend to 16, with dots placed above the appropriate value on the number line to represent its frequency.

To create the dot plot, we count the frequency of each value and place a dot above that value on the number line. Looking at the data, we can observe that the values range from 8 to 16. The frequency of each value is as follows: 8 (1), 10 (2), 11 (2), 12 (2), 13 (4), 14 (6), 15 (5), and 16 (3).

On the basis of the given data, the dot plot would have dots arranged vertically above the values on the number line:

1 dot above 8

2 dots above 10

2 dots above 11

2 dots above 12

4 dots above 13

6 dots above 14

5 dots above 15    and

3 dots above 16

This arrangement accurately represents the frequency distribution of the given data.

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The triangle ABC has a surface area of 17.7 square units. Rounding to the nearest tenth of a square unit,

Heron's Formula can be used to calculate the triangle ABC's area. The equation reads as follows:

A = √[s(s-a)(s-b)(s-c)]

Where s is one-half of the triangle's circumference and a, b, and c are its three sides.

By summing the triangle's sides, we can determine the perimeter:

P = a + b + c

The formula below is used to get the other half of the perimeter.

s = P/2

For the triangle ABC, we have the sides a=3, b=5, and c=4.

Therefore, half of the perimeter is s = 8.

Now, Heron's formula can be used to determine the triangle ABC's surface area:

A = √[s(s-a)(s-b)(s-c)]

= √[8(8-3)(8-5)(8-4)]

= √[8(5)(3)(4)]

= 17.7 square units

Therefore, the triangle ABC has a surface area of 17.7 square units, Rounding to the nearest tenth of a square unit.

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Answer: 22 miles per gallon

Step-by-step explanation: 66/3 = 22.

Answer:

22 miles per gallon

Step-by-step explanation:

66/3=22

See below for the steps to find the coordinates

To find the x and y coordinates of a point on a coordinate plane, follow these steps:

Lastly, write down the coordinates as an ordered pair (x, y)

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Answer:

4/6

Step-by-step explanation:

look for the LCM of the denominators then divide with each denominator and multiply the answer you have got with the numerator after add it you want change it to it's simplest form

Answer:

5.9 or 5.85 unrounded

Answer:

rs 90

Step-by-step explanation:

10% discount means that you multiply the initial amount by 1-0.1. Therefore, since 0.9 x 100 is 90, you will pay rs 90

Answer: Rs 90

Explanation:

Marked Price - Rs 100

Discount = 10%

= 10/100×100

= Rs 10

Therefore after discount (100-10) = 90

The customer will pay Rs 90

Answered by Gauthmath must click thanks and mark brainliest

Answer:

$50.4

Step-by-step explanation:

12% of 45 is 5.4

5.4 + 45 = 50.4

Hope I helped! Have a great day :)

Answer:

(3, 3)

Step-by-step explanation:

Use the midpoint formula (x1+x2/2, y1+y2/2)

so its (-2+8/2, 6+0/2)

which is (3,3)

Answer:

Real number

Step-by-step explanation:

18.62 is a Real number. A real number is just a number that is either an integer, decimal or anything like that.

Answer:

-2/3 + 0

= 2

– — + 0

3 2

Add — 2/3 and 0 to get – —

3

2

= – —

3

= (–1).2/3 = –0.666666667

the answer is = –0.666666667

Step-by-step explanation:

#Carry on learning

To calculate the variances, we need to compare the actual costs and quantities with the standard costs and quantities. Let's calculate each variance step by step:

(a) Direct material price variance:

Actual cost of direct material = 160,000 litres x RM14/litre = RM2,240,000

Standard cost of direct material = 160,000 litres x RM15/litre = RM2,400,000

Direct material price variance = Actual cost - Standard cost

= RM2,240,000 - RM2,400,000

= -RM160,000 (unfavourable)

(b) Direct material usage variance:

Actual usage of direct material = 160,000 litres

Standard usage of direct material = 120,000 cans x 12 litres/can = 1,440,000 litres

Direct material usage variance = Standard cost - Actual cost

= RM2,400,000 - RM2,240,000

= RM160,000 (favourable)

(c) Direct labour rate variance:

Actual cost of direct labour = 55,000 hours x RM12.50/hour = RM687,500

Standard cost of direct labour = 120,000 cans x 4 hours/can x RM12/hour = RM5,760,000

Direct labour rate variance = Actual cost - Standard cost

= RM687,500 - RM5,760,000

= -RM5,072,500 (unfavourable)

(d) Direct labour efficiency variance:

Actual hours worked = 55,000 hours

Standard hours allowed = 120,000 cans x 4 hours/can = 480,000 hours

Direct labour efficiency variance = Standard cost - Actual cost

= RM5,760,000 - RM687,500

= RM5,072,500 (favourable)

(e) Variable overhead expenditure variance:

Actual variable overhead = RM828,000

Standard variable overhead = 55,000 hours x RM16/hour = RM880,000

Variable overhead expenditure variance = Actual variable overhead - Standard variable overhead

= RM828,000 - RM880,000

= -RM52,000 (unfavourable)

(f) Fixed overhead efficiency variance:

Actual hours worked = 55,000 hours

Standard hours allowed = 120,000 cans x 4 hours/can = 480,000 hours

Fixed overhead efficiency variance = Standard fixed overhead - Actual fixed overhead

= RM440,000 - (55,000 hours x RM10/hour)

= RM440,000 - RM550,000

= -RM110,000 (unfavourable)

(g) Fixed overhead expenditure variance:

Actual fixed overhead = RM440,000

Standard fixed overhead = 55,000 hours x RM10/hour = RM550,000

Fixed overhead expenditure variance = Actual fixed overhead - Standard fixed overhead

= RM440,000 - RM550,000

= -RM110,000 (unfavourable)

(h) Possible cause for favourable direct labour rate and efficiency variances:

One possible cause for favourable direct labour rate and efficiency variances could be improved productivity or efficiency in the production process. It could be due to employees working more effectively, reducing the time required to complete tasks and thus resulting in lower costs. Additionally, the company may have negotiated lower labour rates or implemented cost-saving measures in the labour component.

Note: It's important to consider the given units and values while performing the calculations, and to round the variances appropriately based on the given requirements.

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