find the area of the figure

Answer:

Step-by-step explanation:

Domain: D=R-{2}

Asymptote vertical: x=2

Asymptote horizontal: y=1

Hey, I tried to graph this function, I hope you understand something here...

Answer:

  x = 1, x = 5

Step-by-step explanation:

You want the solutions to the absolute value equation ...

  |x -7| = |2x -8|

Each of the absolute value functions is equivalent to a piecewise-defined function. The boundary for the pieces is the turning point of the absolute value function, where its argument is zero.

The turning points are ...

  x -7 = 0   ⇒   x = 7

  2x -8 = 0   ⇒   x = 8/2 = 4

This means the equivalent piecewise equation will have 3 pieces. We know the absolute value function is defined as ...

  [tex]|x|=\begin{cases}-x&\text{for }x < 0\\x&\text{for }x\ge0\end{cases}[/tex]

If we write the equation in the form |x -7| - |2x -8| = 0, we have ...

  [tex]0=\begin{cases}-(x-7)-(-(2x-8))&\text{for }x < 4\\-(x-7)-(2x-8)&\text{for }4\le x < 7\\(x-7)-(2x-8)&\text{for }7\le x\end{cases}[/tex]

The equation simplifies to ...

  -x +7 +2x -8 = 0

  x -1 = 0 . . . . collect terms

  x = 1 . . . . . . a value in the domain. This is one solution.

The equation simplifies to ...

  -x +7 -2x +8 = 0

  15 = 3x . . . . . . . . . . add 3x

  5 = x . . . . . . . . a value in the domain. This is another solution

The equation simplifies to

  x -7 -2x +8 = 0

  -x +1 = 0

  x = 1 . . . . . . . . . not in the domain 7 ≤ x, so not a solution

The solutions are x = 1 and x = 5.

__

Check

  |1 -7| = |2·1 -8|   ⇒   |-6| = |-6| . . . . true

  |5 -7| = |2·5 -8|   ⇒   |-2| = |2| . . . . true

Both solutions check in the original equation.

According to the solution we have come to find that, Write the two equations in the form y = mx + b, where m is the slope and b is the y-intercept.

In mathematics, a graph is a collection of vertices or nodes and edges, where each edge connects a pair of nodes.

To solve a system of equations by graphing, follow these steps:

Write the two equations in the form y = mx + b, where m is the slope and b is the y-intercept.

Plot the y-intercept of each equation on the y-axis.

Use the slope of each equation to find one or two more points on the line, and plot these points.

Draw a line through the plotted points for each equation.

Look for the point where the two lines intersect. This point represents the solution to the system of equations.

Check the solution by plugging in the coordinates of the intersection point into both equations. If the coordinates satisfy both equations, then the point is the correct solution.

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Answer:198.447

Step-by-step explanation:

just search 7 ounces to grams

Answer:

Point-slope form:

[tex]y - 2 = - 4(x + 1)[/tex]

Slope-intercept form:

[tex]y = - 4x - 2[/tex]

Standard form:

[tex]4x + y = - 2[/tex]

Step-by-step explanation:

[tex]y - 2 = - 4(x + 1)[/tex]

[tex]y - 2 = - 4x - 4[/tex]

[tex]y = - 4x - 2[/tex]

[tex]4x + y = - 2[/tex]

Answer:

....

Step-by-step explanation:

can you provide an image if the question instead...

Answer:

Hopes this helps

Step-by-step explanation:

Therefore , the solution of the given problem of triangle comes out to be the angle Y has a value of roughly 76.4 degrees.

What precisely is a triangle?

Because a triangle has four or more extra parts, it is a polygon. Its form is a straightforward rectangle. A triangle is a rectangle with the edges A, B, and C. A singular plane but instead cube are produced by Euclidean geometry when the sides aren't truly collinear. A triangular is a shape if it has three sides and three angles. Angles are the points where a quadrilateral three sides meet. A triangle's sides add up to 180 degrees.

Here,

We can determine the images of locations A, B, and C using the following method:

=> A': (-yA, xA)

=> B': (-yB, xB)

=> C": (-yC', xC')

where C' is the rotated version of location C.

We can determine the side lengths of triangular ABC using the Law of Cosines:

Assume that

=>  a = BC = 2R sin(A/2) = 2R sin(45/2) 1.441R,

=> b = AC = 2R sin(B/2) = 2R sin(55/2) 1.663R, and

=> c = AB = 2R sin(C/2) = 2R sin(80/2) 2.219R.

where R represents the triangular ABC's circumradius.

Now, by turning point C 90 degrees anticlockwise with respect to the origin, we can determine the coordinates of point C':

xC' = -yC

yC' = xC

Then, to obtain the picture of point C, we can reflect point C' across the line y = x:

xC"=yC' and yC"=xC'

Again employing the Law of Cosines, we can determine the triangular XYZ's side lengths:

=> x = YZ = 2R sin(A'/2) = 2R sin(35) ≈ 1.189R

=> y = XZ = 2R sin(B'/2) = 2R sin(45) ≈ 1.414R

=> z = XY = 2R sin(C'/2) = 2R sin(55) ≈ 1.630R

where the picture angles of angles A, B, and C are A', B', and C', respectively.

Last but not least, we can apply the Law of Cosines once more to determine the size of angle Y:

cos(Y) i= t (x2 + z2 - y2)/ (2xz)

cos(Y) = 0.224 Y = 76.4 °

As a result, the angle Y has a value of roughly 76.4 degree

Check the picture below.

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2 \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{OD}\\ o=\stackrel{opposite}{11} \end{cases} \\\\\\ (13)^2= (OD)^2 + (11)^2\implies 13^2-11^2=OD^2\implies 48=OD^2 \\\\\\ \sqrt{48}=OD\implies 6.93\approx OD[/tex]

To graph the average and standard deviation of a given list of values, you should use a bar graph or a histogram.

1. Calculate the average (mean) of the given list of values.
2. Calculate the standard deviation of the given list of values.
3. Create a bar graph or histogram with two bars.
4. Label the first bar as "Average" and set its height to the calculated average value.
5. Label the second bar as "Standard Deviation" and set its height to the calculated standard deviation value.

This graph will visually represent the average and standard deviation of the given list of values.

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Answer:

25

Step-by-step explanation:

Isosceles triangle has two congruent angles.

∠ + ∠ + 130 = 180

2∠ = 50

∠ = 25

Answer:

25°

Step-by-step explanation:

In an isosceles triangle, 2 angles are equal.

The sum total of all angles in a triangle = 180

Assume unknown angle as x.

As 1 angle is already given, the equation is

130 + x + x = 180

130 + 2x = 180

2x = 50

x = 25°

Answer:

AAS

Step-by-step explanation:

They share the same side, and the 2 angles are the same as well and match

The probability of spinning purple on the spinner is 1/4 or 25%.

Calculating the variety of ways to select or arrange a collection of items is a key component of the probability theory concepts of permutation and combination. The key distinction between combination and permutation is whether or not order matters. Contrarily, combination refers to the variety of ways to choose a smaller subset of items from a larger collection, where the order of the items is irrelevant. For instance, there are three potential two-letter combinations if you have the letters A, B, and C: AB, AC, and BC.

Given there are 4 stations, thus he spinner is equally likely to land on any of the four colors.

The probability of spinning purple is 1/4 or 25%.

Hence, the probability of spinning purple on the spinner is 1/4 or 25%.

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The depth of water changes at a rate of -13/72π feet per minute when the water is 2 feet high.

To begin, we must use the formula for the volume of a cone, which is given as:

V = 1/3πr2hwhere V represents the volume, π represents the constant pi, r represents the radius, and h represents the height.

Substituting the given values into the formula, we get:

V = 1/3π (6 ft)2(14 ft)V = 1/3π (36 ft2) (14 ft)V = 1/3π (504 ft3)V = 168π ft^3

Now, we must determine the rate at which water is leaking. It is given that the cone leaks water at a rate of 13 cubic feet per minute. This implies that the volume of the water reduces by 13 cubic feet every minute. Therefore, the rate of change of the volume of water is -13 cubic feet per minute. Here, the negative sign indicates a decrease in the volume of water.

Now, we must find how fast the depth of water changes when the water is 2 feet high. Let d represent the depth of water. Then, the volume of water is given as:

V = 1/3πr^2d

We know that when d = 2 ft, V = 1/3π(6 ft)2(2 ft)

V = 8π ft^3

Now, we must determine how fast the volume of water is changing with respect to time when d = 2 ft. We differentiate the expression for V with respect to time to get:

dV/dt = (d/dt)[1/3πr2d]

dV/dt = 1/3πr^2(d/dt)[d]

dV/dt = 1/3πr^2(d/dt)[2]

dV/dt = 2/3πr^2

The rate of change of the volume of water with respect to time is given as -13 cubic feet per minute. Therefore, substituting this into the expression above, we get:

-13 = 2/3π(6 ft)2(d/dt)

When we simplify the above equation, we get:

d/dt = -13/72π

Therefore, when the water is 2 feet high, the depth of the water changes at a rate of -13/72π feet per minute.

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Answer:

around 82.45 cubic cm

Step-by-step explanation:

The formula for the volume of a sphere is (4/3) * pi * r^3.

Since the radius is 2.7, we can plug this into the formula to get (4/3) * pi * 19.683.

This simplifies to 26.244pi, which is around 82.45 cubic cm.

Worker B appears to be more consistent in performance, while Worker B is more efficient from an overall point of view.

To determine who appears to be more consistent in performance, we need to compare the standard deviations of A and B. Both A and B have a standard deviation of 1.5 hours, which means that they have the same level of consistency in their performance.

To determine who is more efficient from an overall point of view, we need to compare the mean times of A and B. Worker B has a mean time of 4 hours, which is less than the mean time of Worker A (5 hours). This means that Worker B is more efficient than Worker A in completing the job from an overall point of view.

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According to the solving volume of the cylinder where the Brianna has collected approximately 99.1 grams of trace element (rounded to one decimal place).

The cylinder has a circular base and is a three-dimensional shape. A group of circular discs placed on top of one another might be thought of as a cylinder. Consider a situation where we need to figure out how much sugar can fit inside a cylindrical box.

In other words, we want to figure out the volume or capacity of this box. A cylindrical box's capacity is essentially equal to the volume of the cylinder inside. As a result, the volume of a three-dimensional shape is determined by how much space it takes up.

The volume of the cylinder is given by the formula V = πr²h

where r is the radius and h is the height.

Substituting the given values,

we get V = π(9.6 cm)²(11.6 cm) = 3,301.57 cm³ (rounded to two decimal places).

Since the sample contains 0.03 grams of trace element for every cubic centimeter of water,

Brianna has collected approximately 0.03 × 3,301.57 = 99.05 grams of trace element (rounded to two decimal places).

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The amount of grams per serving that are not carbohydrates or protein in the new cereal is 24.05 grams.

In the preceding question, we were told that the amount of carbohydrates in both Cornbits and Tasty Oats is 700% of the amount of protein. The amount of protein is 12 grams. So, we can conclude that the amount of carbohydrates is 700% 0f 12 grams which equal 84 grams. Also, we know that there are 5 grams of protein in 45 grams of Cornbits cereal.

Now 20% less grams of carbohydrates gives us 0.8 × 84 = 67.2

while 75% more grams of protein per serving than Cornbits gives us 175% × 5 = 8.75

The number of grams per serving that are not carbohydrates or protein in the new cereal will be:

100 - 67.2 - 8.75 = 24.05.

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Answer:

L=2x-3

Step-by-step explanation:

A =L×W

Given,

A=6x²-9x

W=3x

Substituting into the main equation

6x²-9x=L×(3x)

3x(2x-3)=L×(3x)

divide both sides by 3x

2x-3=L

L=2x-3

Aryabhata, the famous Indian mathematician discovered 0.

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

The concept of zero was first developed by ancient Indian mathematicians as early as the 5th or 6th century CE. However, the actual symbol for zero (a small circle) was invented by the Indian astronomer and mathematician Brahmagupta in 628 CE.

Aryabhatta, the famous Indian mathematician discovered 'zero'. Grutsamad discovered the process of writing zeroes after figures.

Hence, Aryabhata, the famous Indian mathematician discovered 0.

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Step-by-step explanation:

4.25 inches  *   16 miles / 1 inch  = 68 miles

Therefore, the derivative of y = 7x⁴ with respect to x is dy/dx = 28x³.

Differentiation is a mathematical concept that refers to the process of finding the derivative of a function. The derivative of a function is the rate at which the function changes with respect to its independent variable. In other words, it measures how quickly the output of the function is changing as the input value is changing.

The derivative of a function can be used to determine many properties of the function, such as its slope, maximum and minimum values, and whether it is increasing or decreasing. It is an important tool in calculus and is used in many fields, including physics, engineering, economics, and finance.

The process of differentiation involves applying specific rules to a given function to determine its derivative. The most common method of differentiation is using the power rule, which states that the derivative of a function raised to a power is equal to the product of the power and the function raised to the power minus one. Other rules include the product rule, the quotient rule, and the chain rule, which are used to differentiate more complex functions.

by the question.

To differentiate y = 7x⁴, we need to use the power rule of differentiation, which states that if [tex]y = kx^{n}[/tex], where k is a constant and n is a non-negative integer, then the derivative of y with respect to x is dy/dx = [tex]\frac{dy}{dx} = nkx^{(n-1)}[/tex].

Using this rule, we can differentiate y = 7x⁴ as follows:

dy/dx = 47[tex]x^{4-1}[/tex] [applying the power rule]

dy/dx = 28x³

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The Volume of the pyramid.

Volume = 288.67 m³

As the volume of the pyramid is the amount of space enclosed inside the pyramid, the formula to find the volume of a square pyramid is given as;

Volume = (1/3) × base area × height.

Where: Base area (B) = s²

Where; s = length of the square pyramid side

And, Height (h) = perpendicular height to the base.

Substituting the given values in the formula we get;

Volume = (1/3) × s² × h

Given, s = 8.5m and h = 12m

Therefore, Volume = (1/3) × 8.5² × 12

= (1/3) × 72.25 × 12

= 288.67 m³

Thus, the volume of the given square pyramid is 288.67 m³, to the nearest hundredth of a cubic meter.

The volume of any pyramid is a measure of the total amount of space enclosed within the pyramid. If you have a pyramid of a specific shape and size, you can calculate its volume by using an appropriate formula. In this case, we have been given the length of the square pyramid side (s) and the perpendicular height (h) of the pyramid to the base. We can use the formula to calculate the volume of the pyramid.

The formula is Volume = (1/3) × base area × height.

For a square pyramid, the base area is the area of the square that forms the base. Since all four sides of the square are of equal length, the area is given as the square of the length of one of the sides. Thus, Base area (B) = s².

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Using diagonals from a common vertex of a 14-gon, a total of 11 triangles can be formed.

To see why, we can apply the formula for the number of triangles formed by drawing all the diagonals from a single vertex of a polygon, which is (number of sides - 2). For a 14-gon, the formula gives us:

number of triangles = (14 - 2) = 12

However, we need to subtract one from the total because the vertex where the diagonals are drawn from is not included in any of the triangles. Therefore, the number of triangles formed by drawing diagonals from a common vertex of a 14-gon is:

number of triangles = 12 - 1 = 11

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Answer: 14-2=12

Step-by-step explanation:

Answer:

Step-by-step explanation: frost add the vertical and horizontal axis to find your nearest angle

Answer:

v = 10

Step-by-step explanation:

[tex] \dashrightarrow \: { \sf{ {v}^{2} - {u}^{2} = 2as}} \: \: \: \\ \\ \dashrightarrow \: { \sf{ {v}^{2} = {u}^{2} + 2as }} \: \: \: \\ \\ \dashrightarrow \: { \sf{v = \sqrt{ {u}^{2} + 2as} }} \\ \\ \: \: \: \: \: \: \: { \colorbox{lightblue}{substitute \: variables}} \\ \\ \dashrightarrow \: { \sf{v = \sqrt{ {4}^{2} + 2(2 \times 21) } }} \\ \\ \dashrightarrow \: { \sf{v = \sqrt{16 + 84} }} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\\dashrightarrow \: { \sf{v = \sqrt{100} }} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \dashrightarrow \: { \sf{v = 10}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

describe four right that individuals in relationships have when they stay together

Answer:450,000

Step-by-step explanation:It becomes 450,000 thousand because anything under 5 in the ten thousands place becomes a zero and anything in front of it which is the 4 will stay the same.