The scatter plot shows the price, in cents, of a postage stamp used to mail a letter in United States for the years from 1958 to 2014. Also shown is the line of fit to model the dataThe equation of the line of fit is y = - 0.71 + 0.86x , where represents the predicted price, in cents, of a stamp and x represents the number of years since 1958. (S& S-ID.3.8-9 )PLS HELP!!

When each point on a plane of a two-dimensional coordinate system is decided by a distance from a reference point and an angle is taken from a reference direction, it is known as the polar coordinate system.

Polar coordinates are advantageous when the region being integrated over has a circular or symmetric shape. This is because polar coordinates use angles and radii to describe points in a two-dimensional plane, which aligns well with circular and symmetric shapes. Additionally, polar coordinates can simplify the integrand, as some functions are more easily expressed in terms of angles and radii rather than Cartesian coordinates.

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3120 different types of colorings are possible . Thus, Option C is the correct option. There are 3 cases involved

6! = 720 cases

No rotation is necessary because all permutation are already accounted for.

6 × 5 × 4 × 3 = 360

There are 5 different locations where the pair can be present.

360 × 5 = 1800 one pairs is possible

6 × 5 × 4 = 120

There are 5 rotations in the pentagon so the total number of possibilities is  

120 × 5 = 600 two pairs are possible

now, we add the 3 cases to find the total number of possibilities

720 + 1800 + 600 =  3120

3120 different types of colorings are possible. Thus, Option C is the correct option.

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Answer:

A = 2(7) + (1/2)(4)(4 + 9) = 14 + 26 = 40 m²

Answer:

12

Step-by-step explanation:

If the original number is zero or positive, then the absolute value of the number is simply the original number. If the number is negative, then the absolute value is the original number with the negative sign stripped away. For example: Notice that an equation with an absolute value represents two possibilities.  could i get brainliest please

The surface area of the larger sphere is equal to 636.365 square centimeters.

In this question we must estimate the surface area of the smaller sphere. By geometry we know that the volume of a sphere is directly proportional to the cube of its radius and the surface area is directly proportional to the square of radius, then the volume to surface area ratio is equal to:

V/A = k · r      (1)

Where:

Then, we can derive the following relationship between the two spheres by eliminating the proportionality constant:

V/(A · r) = V'/(A' · R)     (2)

Where:

First, we need to determine the radii of the spheres:

Larger radius

R = ∛(3 · V' / 4π)

R = ∛(3 · 647 / 4π)

R ≈ 5.365 cm

Smaller sphere

r = ∛(3 · V / 4π)

r = ∛(3 · 87 / 4π)

r ≈ 2.749 cm

Lastly, we find the surface area of the larger sphere:

A · r · V' = A' · R · V

A' = (A · r · V') / (R · V)

A' = (167 · 2.749 · 647) / (5.365 · 87)

A' = 636.365 cm²

The surface area of the larger sphere is equal to 636.365 square centimeters.

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The total square footage (area) of the apartment is 385 square feet.

The total square footage, also known as the area, of an apartment is a measure of how much space the apartment has.

First, let's find the area of the 11ft by 11ft bedroom. To do this, we multiply the length and the width of the room. In mathematical terms, the area of a rectangle is equal to the length times the width. So, for the bedroom, the area is

=> 11ft * 11ft = 121 square feet.

Next, let's find the area of the 4ft by 6ft bathroom. The formula for the area of a rectangle is still the same, so the area of the bathroom is

=> 4ft * 6ft = 24 square feet.

Finally, we'll find the area of the multi-use living room/kitchen, which is 15ft by 16ft. The area of this room is

=> 15ft * 16ft = 240 square feet.

Now that we have the area of each room, we can add them together to find the total area of the apartment. So, the total area is

=> 121 square feet + 24 square feet + 240 square feet = 385 square feet.

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Answer:

You already wrote the equation

Step-by-step explanation:

Step-by-step explanation:(a) To find two other pairs of polar coordinates of (3, π/4):

One with r > 0: (3, 9π/4)

One with r < 0: (-3, 5π/4)

To plot the point (3, π/4), we start at the origin and move 3 units along the line that makes an angle of π/4 radians with the positive x-axis.

(b) To find two other pairs of polar coordinates of (2, -2π/3):

One with r > 0: (2, 4π/3)

One with r < 0: (-2, π/3)

To plot the point (2, -2π/3), we start at the origin and move 2 units along the line that makes an angle of -2π/3 radians (which is the same as 4π/3 radians) with the positive x-axis.

(c) To find two other pairs of polar coordinates of (-2, π/6):

One with r > 0: (2, 7π/6)

One with r < 0: (-2, 19π/6)

To plot the point (-2, π/6), we start at the origin and move 2 units in the direction that makes an angle of π/6 radians with the positive x-axis, but since r is negative, we move in the opposite direction. So we end up at a point on the line that makes an angle of 7π/6 radians with the positive x-axis.

Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.

Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.

In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.

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The full question:

ratio analysis can be made more meaningful in all the following ways except by?

The individual counted a higher ratio of cars to trucks  at the second rest stop, since 17/22 was larger than 3/4.

At the first rest stop, the ratio of cars to trucks was 15:20 or 3:4. At the second rest stop, the ratio of cars to trucks was 17:22 or 17/22. Since 17/22 is larger than 3/4, the individual counted a higher ratio of cars to trucks at the second rest stop. To illustrate this using formulas, we can divide the number of cars by the number of trucks at each rest stop. This gives us 15/20 = 0.75 for the first rest stop and 17/22 = 0.77 for the second rest stop. Since 0.77 is greater than 0.75, the individual counted a higher ratio of cars to trucks at the second rest stop.

At the second rest stop, the individual counted a higher ratio of cars to trucks.The individual counted a higher ratio of cars to trucks  at the second rest stop, since 17/22 was larger than 3/4.

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Answer:

1:8 or 1/8

Step-by-step explanation:

That's your answer.....

The spherical coordinate (4,6π,2π/3) is (5,2π3,0.927) in spherical coordinates.

I’m going to assume that your values are in the form of:

(r,θ,z)=(4,6π,2π/3)

where

(r,θ)are the polar coordinates of the point’s projection in the xy-plane

z is the usual z-coordinate in the Cartesian coordinate system

Now solving for Cartesian coordinates:

x=rcosθ=4cos(6π)=4(0.86)=3.44

y=rsinθ=4sin(6π)=2

Now for spherical transformation, note that:

(ρ,θ,ϕ)

ρ is the distance between P and the origin

θ is the same angle used to describe the location in cylindrical coordinates

ϕ is the angle formed by the positive z-axis and line segment from the origin and point in space, note that0≤ϕ≤π

OK, now that we have that out of the way, let’s compute:

ρ=r2+z2 = 5

θ=θ=6π

ϕ=arccos(zr2+z2−−−−−−√)=arccos(35)≈0.927rad

The spherical coordinate (4,6π,2π/3) is (5,2π3,0.927) in spherical coordinates.

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Both Knight Riders and Sunrisers have the same final score of 9. Hence, the match is tied.

To calculate the final scores for both teams, we need to take into account the runs scored, the number of wickets lost, and the number of wide balls bowled.

For the Knight Riders:

Therefore, their final score is 49 - 12 - 28 = 9.

For the Sunrises:

Therefore, their final score is 37 - 20 - 8 = 9.

Both teams have the same final score of 9. In cricket, if the scores are tied, then the match is considered a tie. So, neither team won the match.

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The angle subtended at the center of the arc is 102⁰

Recall that to find the length of an arc on a circle, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.  If the central angle is measured in degrees, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.

Lenght of arc = A/360 *2пr

A = angle at center = ?

п = 22/7 r = radius = 840 feet

⇒1500 = A/360  2 *22/7 * 840

1500 = 36960A/2520

3780000= 36960A

making A the subject we have

3780000/36960 = A

A = 102.27

A= 102⁰

The angle is 102⁰

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Answer: I believe 20.

Take one pair of lines. They will intersect at a point (no lines parallel). The other four lines will intersect at different points (no more than two lines through one point) giving four triangles. There are 6C2 = 15 different pairs of lines so 15*4 = 60 triangles. However, each triangle will come from three different points so we need 60/3 = 20 distinct triangles.

EDIT: Now that I’m more awake, it occurs to me there is a much easier answer. Since no two lines are parallel and no three lines are coincident, every combination of three lines must form a triangle. There are 6C3 = 20 triangles.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

combinations

C(n,r)= n! / (r! * (n−r)!)

n = 6 : total number of lines

r = 3 : because its 3 lines to make a triangle

6 lines

6C3 = 20 triangles

quora glenn clemens

mathplanet

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

\(x=10\)

Step-by-step explanation:

\(1/3(2x-8)=4\)

\(2/3x-8/3=4\)

\(2/3x=4+8/3\)

\(2/3x=20/3\)

\(x=20/3 \times3/2\)

\(x=60/6\)

\(x=10\)

Answer:

10

please see the attached picture for full solution

hope it helps

Good luck on your assignment

First, let me explain some key terms related to the question.

- Discrete: This refers to mathematics that deals with countable or finite sets of numbers, rather than continuous sets. In other words, we're dealing with specific, separate values rather than a continuous range.
- Recurrence: This refers to a mathematical sequence where each term depends on one or more previous terms. In other words, we can use a formula to generate the next term based on previous terms.
- Relation: This refers to a mathematical expression that relates one or more variables. In this case, our recurrence relation relates the sequence An to its previous terms.

With that in mind, let's tackle the question!

We're given a recurrence relation: An = 6An-1 – 9An-2. This means that each term in the sequence An depends on the two previous terms, An-1 and An-2.

We're also given initial conditions: a0 = 2 and a1 = 3. This gives us a starting point for the sequence.

To solve the recurrence relation and find the values of An, we'll use a technique called iteration. Essentially, we'll use the recurrence relation to generate the next term in the sequence, then use that term to generate the next one, and so on.

Here's how it works:

- First, we use the initial conditions to find the first two terms of the sequence: a0 = 2 and a1 = 3.
- Next, we use the recurrence relation to generate the third term: a2 = 6a1 - 9a0 = 6(3) - 9(2) = 0.
- We continue this process, using the recurrence relation to generate each subsequent term. For example, to find a3, we use the formula An = 6An-1 – 9An-2 with n = 3: a3 = 6a2 - 9a1 = 6(0) - 9(3) = -27.
- We can keep going like this to find as many terms as we need.

Here's what the first few terms of the sequence look like:

a0 = 2
a1 = 3
a2 = 0
a3 = -27
a4 = -54
a5 = -162
a6 = -270
...
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Answer:

The measure of each angle will be 7 degrees. It is because a bisector divides an angle in two equal halves. 14 / 2 = 7

The population of your friend's town is 300,000 if the population of your town is about 30,000.

To solve this problem, we can use the fact that if one quantity is a fraction of another quantity, we can multiply or divide the given quantity by that fraction to find the other quantity. In this case, we know that the population of your town is 1/10th of your friend's town's population, so we can multiply your town's population by 10 to get your friend's town's population.

If the population of your town is about 30,000, and it's about 1/10 the population of your friend's town, we can calculate your friend's town's population by multiplying your town's population by 10.

So, the population of your friend's town is

30,000 x 10 = 300,000

Therefore, your friend's town has a population of about 300,000.

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Rounded answers In Your calculations to find missing measures is given below.

Given: a = 8.72, b = 11.1, c = 11.7

Using the Law of Cosines, we can calculate angle A:

A = arccos((b2 + c2 - a2)/2bc)
A = arccos((11.12 + 11.72 - 8.722)/(2*11.1*11.7))
A = arccos(2.61/265.57)
A = arccos(0.00984)
A = 89.8°

Using the Law of Sines, we can calculate angle B:


Using the Law of Cosines, we can calculate side c:

c2 = a2 + b2 - 2abcos(C)
c2 = 8.722 + 11.12

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Using the order of operations, the expression can be simplified as  

9 + 1.34 + 62.88 = 73.22

The order of operations instructs us on how to solve steps in multi-step expressions. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. Fourth, all addition and subtraction problems are solved from left to right.

Remember PEMDAS when simplifying multi-step expressions, i.e.:

P (Parentheses)

E (Exponents, Powers and Square Roots)

MD (Multiplication and Division, left-to-right)

AS (Addition and Subtraction, left-to-right)

The expression given in the problem is:  9 + 1.34 + 1 2 (3.50 +1.74)

Apply the above operation order:

Step 1: solve the addition inside the parenthesis

9 + 1.34 + 1 2 (3.50 +1.74)  =  9 + 1.34 + 1 2 (5.24)

Step 2: Multiply the result by 12

9 + 1.34 + 1 2 (5.24) = 9 + 1.34 + 62.88

Step 3: Apply addition from left to right

9 + 1.34 + 62.88 = 73.22

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As the given condition in the question for the number of  right angles to be the minimum, the correct answer would be 'zero'.

A right angles are the type of angles whose measure is equal to 90 degrees. Every 90 degree angle is simply named as right angle since they have some significant role in geometry.

Some of the types of angles in mathematics are:

The minimum number of right angles there can be in a shape actually depends on a shape, considering all the shapes to define the minimum, there can be a condition where there are no right angles. For example, in a straight line.(180 degrees)

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Answer:

=3 6/12 < 1 8/12

Step-by-step explanation:

Answer:

d.937.50

Step-by-step explanation:

After each year it adds 5% so 5x5 is 25%

25% of $3,750 is $937.50

hope this helps :)

Answer:

3 times 3 is 9

9 times 3 is 27

27 times 3 is 81

Step-by-step explanation:

Part a) x=-3, x = 0, x = 2

Part b) p(x) → ∞

a) The given function is:

p(x) = x (x + 3)(x - 2)

The zeros of the function are gotten by setting p(x) = 0

0 = x (x + 3) (x - 2)

x = 0

x + 3 = 0, x = -3

x - 2 = 0, x = 2

The zeros of the function p(x) are -3, 0, 2

b) As x → ∞

P(x) → ∞

Answer :-

Step-by-step explanation:

Given :-

To Find :-

Solution :-

According to question,

↠ (x)(x + 2) = 528

↠ x² + 2x = 528

↠ x² + 2x - 528 = 0

↠ x² + 24x - 22x - 528 = 0

↠ x(x + 24) - 22 (x + 24) = 0

↠ (x + 24) (x - 22) = 0

↠ x = -24 or 22

Hence,

Value of two integers are 22 and 24

Step-by-step explanation:

It is given that, The product of 2 consecutive even integers is 528 and we have to find the value of each integers.

Now, As it is stated in the question that the product of 2 consecutive even integers is 528, So

\( \\ { \longrightarrow \qquad{ \pmb{ \sf { y(y + 2) = 528 }}}} \: \: \\ \\\)

\({ \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y = 528 }}}} \: \: \\ \\\)

Subtracting both sides by 528 we get :

\( \\ { \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y - 528= 528 - 528 }}}} \: \: \\ \\\)

\({ \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y - 528= 0 }}}} \: \: \\ \\\)

We have to find two numbers such that,

\( \\ { \longrightarrow \qquad{ \pmb{ \sf { p + q= 24 }}}} \: \: \\ \\\)

\({ \longrightarrow \qquad{ \pmb{ \sf { p \times q= 528 }}}} \: \: \\ \\\)

The two numbers are 24 and 22. So,

\( \\ { \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + (-22y) + 24y - 528= 0 }}}} \\ \\ \)

\({ \longrightarrow \qquad{ \pmb{ \sf { {y}(y -22) + 24(y - 22)= 0 }}}} \\ \\ \)

\({ \longrightarrow \qquad{ \pmb{ \sf { (y -22) (y + 24)= 0 }}}} \\ \\ \)

\( \: \)

So, The first consecutive even integer is 22.

Now,

\( \\ { \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=y \:+2 \: }}}} \\ \\ \)

\({ \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=2 2+2 \: }}}} \\ \\ \)

\({ \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=24 }}}} \\ \\ \)

Therefore,

Step-by-step explanation:

i hope u got it ....

thank u!!

Name all angles when there are two parallel lines cut by a transversal?

Alternate interior angles

Corresponding angles

Vertically opposite

From figure 1,

Since the angles marked with colour fulfil the vertically opposite angles properties ,so

(2x+35)° = (8x-49)°

⇒(2x-8x)=(-49-35)°

⇒-6x=-84

⇒x = 14°

Hence , x = 14°

From figure 2,

Since the angles marked are corresponding angles,therefore on equating both angles we get

(10x-18)°=(15x-48)°

⇒(10x-15x)=(-48+18)°

⇒-5x = -30°

⇒ x = 6°

From figure 3,

Since the given two angles are alternate interior angles ,so

(7x+5)°=(12x-75)°

⇒(7x-12x)=(-75-5)°

⇒-5x=-80°

⇒x = 16°

From figure 4 ,

Since the two angles lies in a straight line ,so sum is 180°

(27x-21)°+(10x-16)°=180°

⇒37x -37° = 0

⇒ x = 1°

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