A water sample shows 0.072 grams of some trace element for every cubic centimeter of water. Annabelle uses a container in the shape of a right cylinder with a radius of 8.6 cm and a height of 16.5 cm to collect a second sample, filling the container all the way. Assuming the sample contains the same proportion of the trace element, approximately how much trace element has Annabelle collected? Round your answer to the nearest tenth.

JKP = 35°

If P is the incenter of jkl find each measure?

Given P is the incentre of the triangle,

ie., P is the point of intersection of all 3 angular bisectors.

so, from vertex J we have the angular bisector JN dividing the ∠J such that ∠KJN = ∠NJL

ie, (7x-6) = 5x+4

=> 7x-5x = 4+6

=> 2x = 10

=> x= 10/2 = 5

so, the angles are ∠KJN = 7(5)-6 = 35-6 = 29°

and ∠NJL = 5(5)+4 = 25+4 = 29°

adjacent to the vertex J, we have L with angular Bisector LM dividing the ∠L such that ∠KLM = ∠MLJ

so, given that ∠KLM = 26° => ∠MLJ = 26°

so, we have ∠J = 29°+29° = 58°

and ∠L = 26°+26° = 52°

In the given ΔJKL, we know ∠J + ∠K + ∠L = 180°

=> 58°+ ∠K + 52° = 180°

=> ∠K + 110° = 180°

=> ∠K = 180° - 110°

=> ∠K = 70°

we have angular bisector, KO bisecting ∠K such that ∠JKO = ∠OKL

we know, ∠K = ∠JKO +∠OKL

also, 70° = ∠JKO +∠JKO ( as angular bisectors)

70° = 2∠JKO

=> ∠JKO = 70°/2 = 35°

from the diagram, ∠JKO = ∠JKP

and hence ∠JKP = 35°

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Answer:

Step-by-step explanation:

(1/4) : (2 2/3) = 3/

32

= 0.09375

hope this helps :)

From the figure, you can see that ∠3 and ∠4 are supplementary because they are linear pairs.

Answer:

Linear pair

Step-by-step explanation:

Angle 3 and angle 4 form a linear pair. The measure of angle 3 is four more than three times the measure of angle 4.

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Mikaela's average speed for the entire race is (5 + 20) / (0.5 + 0.8) = 15 kilometers per hour.

Mikaela can bike 25 kilometers in 1 hour. This is because she biked 20 kilometers in 0.8 hours, which can be converted to 25 kilometers in 1 hour (20 kilometers / 0.8 hours = 25 kilometers / 1 hour).

60 minute tapes: $4.00 each

90 minute tapes: $4.80 each

An algebraic equation is an equation that can be written using only algebraic operations.

This question is an example of an algebraic equation.

Step 1: Calculate the cost of 1 sixty minute tape.

We know that the cost of 5 sixty minute tapes and 9 ninety minute tapes is $71.40.

Total cost = 71.40

Number of sixty minute tapes = 5

Cost of 1 sixty minute tape = 71.40/5 = 14.28

Step 2: Calculate the cost of 1 ninety minute tape.

We know that the cost of 8 sixty minute tapes and 7 ninety minute tapes is $74.65.

Total cost = 74.65

Number of ninety minute tapes = 7

Cost of 1 ninety minute tape = 74.65/7 = 10.66

Therefore, the cost of 1 sixty minute tape is $14.28 and the cost of 1 ninety minute tape is $10.66.

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Option C is correct interpretation. The publisher can expect the total number of words per chapter to vary by approximately 195.3 word from the mean.

In this example a book publisher published both fiction and nonfiction books, let F for fiction and N for nonfiction,

the standard deviation of total amount F+N=S=195.3,

Standard deviation is a measure which shows, how much variation such as spread, dispersion from the mean exists. the standard deviation indicates the typical deviation from the mean.

so, in this particular case we have standard deviation of total amount S=195.3.The interpretation of this value is the publisher can expect the total number of words per chapter to vary by approximately 195.3 word from the mean.

option C is correct interpretation for this case.  

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250 km is approximately 3 hours and 15 minutes of driving time.

The time it takes to drive 250 km (155 miles) depends on the speed at which you are driving. If you are driving at an average speed of 80 km/h (50 mph), then it will take approximately 3 hours and 15 minutes to drive 250 km (155 miles). However, if you are driving at higher speed, such as 90 km/h (56 mph), it will take slightly less time - around 2 hours and 50 minutes. The time it takes to drive 250 km will also depend on the traffic situation and other factors such as the number of stops you make along the way. Generally, it is recommended to allow at least 3 hours and 15 minutes to drive 250 km.

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The probability that the number chosen is 1 is 1/3

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

For example if there are 15 fruits In bag and 3 are banana. The probability of choosing banana is 3/15 = 1/5.

Probability is given as sample space /total outcome

The total outcome = 12

The sample space of number 1 is 4. This is because 1 appeared 4 times in the experiment.

Therefore the probability of chosen a ball that has number 1 is

= 4/12

= 1/3

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Answer:

34

Step-by-step explanation:

This is the answer because subtracting the two would result in the number 39.

73-39=34

Answer:

y+3/2x+1

Step-by-step explanation:

Headlines should be clear and specific, telling the reader what the story is about, and be interesting enough to draw them into reading the article.

How do headlines work?

Headlines are the primary headers on an article or other piece of material that sum up the main points. The purpose of a headline is to draw attention to the main idea or type of information so that readers are aware of the broad subject matter.

In the internet age, headlines are getting more and more significant. They act as sources for search engines in addition to drawing the reader's attention. Today, browsing a list of search engine results is just as likely to lead a reader to an article as quickly skimming a newspaper page.

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What does the problem look for:

 --> value of 'x'

Let's split this diagram:

  --> look at the diagram attached

       --> the red line forms a right angle with the side with length 10

Based on how we split the diagram

 --> we get a triangle on top

      --> the base is 10

         --> the height is difference between 10 and 6 --> 4

Using the Pythagorean theorem:

  [tex]x^2=10^2+4^2\\x^2=100+16\\x^2=116\\x=\sqrt{116}\\x=\sqrt{4*29}\\x=2\sqrt{29}[/tex]

Answer: [tex]2\sqrt{29}[/tex]

They are constructed like predators on the inside, though. According to a recent study, protein makes up about 50% of their daily caloric intake.

The cylinder, which is frequently a solid in three dimensions, is one of the most fundamental curved geometric forms. In simple geometry, this object is referred to as a prism with a circle as its base. A cylinder is also characterized as an infinitely curving surface in a number of modern domains of geometry and topology. The term "cylinder" refers to a three-dimensional object that has curved surfaces and circular tops and bottoms. A cylinder is a three-dimensional solid figure with two bases that are both identical circles linked by a curved surface at the height of the cylinder, which is determined by the separation of the bases from the center. Cold drink cans and the wicks on toilet paper are examples of cylinders.

given

Giant pandas have a herbivorous appearance from the outside.

They consume bamboo almost constantly while awake.

They are constructed like predators on the inside, though.

According to a recent study, protein makes up about 50% of their daily caloric intake.

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Answer: f(x)=-3x+2

Step-by-step explanation:

Answer: 3.078139077

Step-by-step explanation:

Use the 1st digit 2 from dividend 2367800.

Since 2 is less than 769231, use the next digit 3 from dividend 2367800 and add 0 to the quotient.

Use the 2nd digit 3 from dividend 2367800.

Since 23 is less than 769231, use the next digit 6 from dividend 2367800 and add 0 to the quotient.

Use the 3rd digit 6 from dividend 2367800

Since 236 is less than 769231, use the next digit 7 from dividend 2367800 and add 0 to the quotient.

Use the 4th digit 7 from dividend 2367800.

Since 2367 is less than 769231, use the next digit 8 from dividend 2367800 and add 0 to the quotient.

Use the 5th digit 8 from dividend 2367800.

Since 23678 is less than 769231, use the next digit 0 from dividend 2367800 and add 0 to the quotient.

Use the 6th digit 0 from dividend 2367800.

Since 236780 is less than 769231, use the next digit 0 from dividend 2367800 and add 0 to the quotient.

Use the 7th digit 0 from dividend 2367800.

Find closest multiple of 769231 to 2367800. We see that 3×769231=2307693 is the nearest. Now subtract 2307693 from 2367800 to get reminder 60107.

Add 3 to quotient.

Quotient: 3

Reminder: 60107

It's not as difficult as it looks.

✨

y-6=-5/2(x-2) is the equation of the line that passes through the  points (2,6) and (4,1).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through point (2,6) and (4,1).

m=1-6/4-2

m=-5/2

Now let us find the point slope form

y-6=-5/2(x-2)

Hence, y-6=-5/2(x-2) is the equation of the line that passes through the  points (2,6) and (4,1).

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Therefore , the solution of the given problem of triangle comes out to be length of each side is √61 and perimeter = 3√61 unit.

An triangle is a polygon since it has four or more parts. It is a simple geometric shape. A square having angles A, B, and C is referred to as a triangle ABC. When the sides are not collinear, Euclidean geometry generates a single plane and square. If a triangle has three sides and three corners, it is a polygon. The corners of a triangle are where its three sides meet. The sum of the angles in a triangle is 180 degrees.

Here,

Given : ABC with vertices A (-2,3) B (3, -3), and C (-2, -3)

To calculate the length :

length = √(x2 -x1)² + (y2-y1)²

=> AB =  √(3 -(-2))² + (-3-(3))² = √61 unit.

=> BC = √(-2 -(3))² + (-3-(-3))² = √61 unit.

=> AC = √(-2 -(3))² + (-3-(-3))² = √61 unit.

and the perimeter of the given triangle = √61 +√61+√61 =3√61 unit.

Therefore , the solution of the given problem of triangle comes out to be

length of each side is √61 and perimeter = 3√61 unit.

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Answer: You got this

Step-by-step explanation:

use  y2-y1/x2-x1 and find two points then get m

A quadrilateral whose diagonals are parallel is referred to as a parallelogram. A parallelogram has equal angles on each side. A parallelogram has equal lengths on its opposing sides.

A parallelogram's diagonals cut through one another. Show: If a quadrilateral's one set of opposing sides is congruent and parallel, the quadrilateral is a parallelogram.

ABCD is a parallelogram if — BC — AD and — BC — AD. A quadrilateral becomes a parallelogram if its diagonals are bisected by one another. Having four sides in two dimensions, a quadrilateral. Square, rectangle, rhombus, trapezium, parallelogram, and kite are all examples of 2D shapes that are quadrilaterals.

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The height of the tree is 21 m.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that 1.7m tall man stands 12m from the base of a tree.

The Man views the top of the tree at an angle of elevation of 58°

We need to find the height of the tree.

tan58=x-1.7/12

1.6=x-1.7/12

1.6×12=x-1.7

19.2=x-1.7

Add 1.7 on both sides

19.2+1.7=x

20.9=x

Hence, the height of the tree is 21 m.

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One can solve basic algebraic expressions by following these steps.

Students typically learn to solve basic algebraic expressions by following these steps:

Identify the variable and the coefficient (number in front of the variable) in the expression.

Use the order of operations (PEMDAS) to simplify any arithmetic within the expression.

Use the distributive property to combine like terms.

Isolate the variable on one side of the equation by using inverse operations (such as adding or subtracting the same value from both sides, or dividing or multiplying both sides by the same non-zero value).

Substitute in a value for the variable to find the numerical value of the expression.

It's good to practice with a lot of examples and check the solutions and ask for help if needed.

Example:

Solve for x: 3x + 2 = 12

variable is x, coefficient is 3

nothing to simplify

nothing to combine

subtract 2 from both sides: 3x = 10

divide both sides by 3: x = 10/3 or 3.3333

x = 3.3333

It's important to note that solving algebraic expressions can become more complex as the student progresses, but the basic steps remain the same.

Thus, One can solve basic algebraic expressions by following these steps.

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The probability that randomly selected individuals will have a mean weight of at least  170 pounds will be 31.56% when men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb (National Health Survey) If 50 men are randomly selected.

Given,

Mean, μ = 172 lb

standard deviation, s = 29 lb

n = 50

and we have to determine: P(x < 170 lb)

Initially, Using the z score formula we find the z value corresponds to a sample mean of 170

z = (x - μ)/([tex]s/\sqrt{n}[/tex]) = [tex]\frac{170-172}{\frac{29}{\sqrt{50} } }[/tex]  = -0.48

Now, using the z table to locate the probability:

P(x < 170) = P(z < -0.48)

or P(z < -0.48) = 0.3156 = 31.56 %

Therefore, the probability that randomly selected individuals will have a mean weight of at least  170 pounds will be 31.56% when men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb (National Health Survey) If 50 men are randomly selected.

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The complete question is:

Assume that men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb (National Health Survey) If 50 men are randomly selected, what is the probability that randomly selected individuals will have a mean weight of at least  170 pounds?

Therefore , the solution of the given problem of  proportionality relationship comes out to be  it is not proportional relationship.

Relationships are regarded to as proportional when they continuously have the same ratio. For instance, the number of trees in an airport and the number of apples in a harvesting of apples depend on the average number of apples produced by each tree. A linear relation between two number or variables is referred to as being proportional in mathematics. If the initial quantity doubles, the other amount also does so. Whenever one of the parameters is reduced to 1/100th of the its previous value, the other decreases as well.

Here,

Given :

=> y=75x-56

The proportional relationship says that the line of the given equation passes through origin ,

So , if we put x = 0,

We should get y=0.

So ,

=>  y=75(0)-56

=> y = 56

Thus , x =0 and y=56  because this line do not pass through origin it is not proportional relationship.

Therefore , the solution of the given problem of  proportional relationship comes out to be  it is not proportional relationship.

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The area of each dilated rectangle is k² times the area of each original rectangle.

When a shape is dilated by a factor of k, its dimensions increase by a factor of k.

The formula for the area of a rectangle is length times width, so when the length and width of a rectangle increase by a factor of k, its area increases by a factor of k².

So, if a blob is dilated by a factor of k, the rectangles covering the blob also get dilated by a factor of k, and their areas increase by a factor of k².

This means that the area of each dilated rectangle is k² times the area of each original rectangle. This relationship holds true for any shape that is being dilated, not just rectangles.

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Answer:

Я не вижу достаточно, чтобы прочитать весь вопрос, но я надеюсь, что это поможет.

и как человек с английским в качестве основного языка и изучающий русский, я с удовольствием использую эти навыки.

A pair of functions that are inverses of each other is: B. f(x) = 4x³ + 5 and g(x) = ∛[(x - 5)/4].

In order to determine the inverse of this function f(x) = -1 - 1/5x, we would interchange both the input value (x) and output value (y) as follows:

f(x) = y = ∛(x + 3) - 5

x = ∛(y + 3) - 5

x + 5 = ∛(y + 3)

Taking the cube of both sides of the function, we have:

(x + 5)³ = y + 3

g(x) = y = (x + 5)³ - 3 (Not inverse).

For the second option:

f(x) = y = 4x³ + 5

x = 4y³ + 5

x - 5 = 4y³

Dividing both sides of the function by 4, we have the following:

y³ = (x - 5)/4

Taking the cube root of both sides of the function, we have:

g(x) = y = ∛[(x - 5)/4] (Inverse)

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It had a 1.75 m (about 6 ft.) long cranium, a body length of 14 to 18 m (46 to 59 ft.), and an estimated mass of 12,000 to 20,000 kg (13–22 tons).

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