describe the relationship between the two quantities in the graph.

Using the centroid P on the triangle, the value of QN is 25.5 and PN is 8.5

The centroid of a triangle is a point located at the intersection of the three medians (the lines that connect the vertices to the midpoints of the opposite sides). The centroid divides each median in two segments that have the same length. It is the center of gravity of the triangle and is the point at which the triangle's three medians intersect.

The centroid theorem states that the centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.

In this triangle, the centroid is at P and the QP is 17.

a) QN

The distance between QP is two-thirds the length of QN

The length of QP = 17

QP = 2/3 QN

17 = 2/3 QN

QN = (3 * 17) / 2

QN = 25.5

b) PN

The distance between PN is calculated as;

PN = QN - QP

PN = 25.5 - 17

PN = 8.5

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Answer: <9

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

The line of length 48 = 1/2 of the baseline (3x) as the line 48 joins the midpoints of the 2 sloping sides.

1/2 * 3x = 48

multiply both sides by 2:

3x = 96

x = 32.

Using the provided values and the conditions, The inequality equations required are : [tex]x+y \leq 20[/tex] and [tex]450x+200y \geq 4800[/tex].

An equation is a mathematical statement in which two expressions are set equal to each other. It is typically written using an "=" sign, with the expressions on either side of the sign representing equivalent values. For example, the equation 2 + 2 = 4 states that the value of 2 plus 2 is equal to the value of 4. Equations can be used to express relationships and to solve problems.

An inequality is a mathematical statement that compares two values or expressions. It is similar to an equation, but instead of using the "=" sign to indicate that the two sides are equal, it uses one of the following symbols: ">", "<", "≥", "≤" to indicate that the two sides are not equal. For example, the inequality 2 + 2 > 4 states that the value of 2 plus 2 is greater than 4. Similarly, the inequality 2 + 2 < 4 states that the value of 2 plus 2 is less than 4. Inequalities can be used to express constraints in a problem or to define a range of solutions. They can also be represented graphically by using a number line.

x= number of tables sold

y= number of chair sold

max furniture in a day = 20

so, [tex]x+y \leq 20[/tex].

least selling amount = 4800

so, [tex]450x+200y \geq 4800[/tex]

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Answer:

75 dumplings

Step-by-step explanation:

1500/20= 75

Answer:

−20d+1500

Step-by-step explanation:

I did it on khan and it worked

The order from greatest to least is -3/8> -2/5>-0.44>-0.5

To compare all the numbers, we first convert the numbers to their fractional equivalent.

Therefore, -0.44= -44/100

And -0.5= -5/10

Now, we covert all the numbers to get the same denominator in all the numbers, therefore, let the denominator be 100

Therefore, we multiply -3/8 with 12.5 in both numerator and denominator to get, -37.5/100

Then, we multiply -2/5 with 20 in both numerator and denominator to get, -40/100

and, we multiply -5/10 with 10 in both numerator and denominator to get -50/100

Therefore, with these resultant value we can say that, -37.5/100> -40/100 >-44/100> -50/100

Thus, -3/8> -2/5>-0.44>-0.5

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The algebraic expression for area of rectangle in terms of width(w) is w^2+2w.

What is algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

The expressions are mainly of 4 types that includes:

Let the width be w.

So, length of rectangle will be w+2

Now, area of rectangle is length*width

Area= (w+2)*w

= w^2+2w

Hence, a simplified algebraic expression for the area of the rectangle in terms of width (w) is w^2+2w.

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Answer:

1st, 4th and 5th are correct.

Step-by-step explanation:

Answer:

-29

Step-by-step explanation:

(−4−3)(2^2)−1

=−7(2^2)−1

=(−7)(4)−1

=−28−1

=−29

Answer:

NEGATIVE 29

Step-by-step explanation:

p

Exponents

Multiply

D

Add

Subtract

So the first exponent is

[tex]2^{2}[/tex] which is 4

So now we have multiply so

4 x ( - 4 + - 3 )

4 x - 4 = - 16

4 x - 3 = - 12

So our new equation is

- 12 - 16 - 1 = - 29 :)

So the answer is NEGATIVE 29

Answer:

15. C. segment AC

16. D. angles ACD and DCE

17. C. substitution

18. C. axiomatic systems

19. A. Axioms

20. D. Defined Terms

Answer: $244.20

Step-by-step explanation:

The amounts listed are per $1,000 of coverage so if the coverage is $110,000, first find the number of $1,000 coverages this entails:

= 110,000 / 1,000

= 110

Then multiply this by the cost per $1,000 for a 22 year old female for a 5 year policy:

= 110 * 2.22

= $244.20

Answer:

21 3/4

Step-by-step explanation:

3 times 7 1/4 since the scale is 1:7 1/4. Good luck!! :)

Answer:

99.7%

Step-by-step explanation:

the standard deviation is 4 minuet but  there is always outliers so thats  why its not 100% of the time and the minutes are  coverd  by the deviation.  

Answer:

68%

Step-by-step explanation:

The attached normal table shows area under the standard normal curve that are to the left of a particular z-score.

To find the area between two z-scores, say [tex]z_1 < z_2[/tex], find the area to the left of [tex]z_2[/tex] then subtract the area to the left of [tex]z_1[/tex].  That difference is the area between the two z-scores.

38 minutes has a z-score [tex]z_1=\frac{38-42}{4}=-1[/tex]

46 minutes has a z-score [tex]z_2\frac{46-42}{4}=1[/tex]

Find z= 1.0 in the table. The area in that row is .8413.

Find z=-1.0 in the table.  The area in that row is .1587.

The difference, .8413 - .1587 = .6826 is the area under the normal curve between z=-1 and z=1.

.6826 is about 68%

Answer:

900 meters

Step-by-step explanation:

If the height of the building (unknown) is opposite of the angle of elevation (20°) and the distance from the building (402 meters) is adjacent to the angle of elevation, then we use the tangent function to find the height of the building:

tanθ=opposite/adjacent

tan(20°)=x/402

402tan(20°)=x

900=x

Therefore, the height of the skyscraper is 900 meters.

Answer:

Slope of perpendicular line: 5

Slope of parallel line: -1/5

Step-by-step explanation:

Convert the equation to slope-intercept form (y=mx+b where m is the slope and b is the y-intercept)

x+5y=6

subtract x on both sides

5y=-x+6

divide by 5 on both sides

y=-(1/5)x+6/5

The slope of this equation is the coefficient of x, -1/5.

The slopes of two perpendicular lines are negative reciprocals of each other.

To get the negative reciprocal of a number, flip the numerator and denominator and multiply by -1.

-1/5 becomes 5, so that's the slope of a line perpendicular to our original line.

Parallel lines have the same slope, so that's just -1/5.

Slope of perpendicular line: 5

Slope of parallel line: -1/5

Answer:

101.25 feet2

Step-by-step explanation:

Area =  

b1 + b2  ×h

2

=  

16 + 11  × 7.5

2

=  101.25 feet2

Tip if you need this again just go to Area Calculator

Since you have basic knowledge of computer hardware, an action which you should take as an ethical employee include the following: A. Initiate help by offering to check the computer.

A computer hardware can be defined as a physical component of a computer system or an information technology (IT) that can be seen, touched and replaced.

In Computer technology, there are various examples of a computer hardware and these include the following:

Based on ethical principles, we can reasonably infer and logically conclude that an ethical employee should initiate help by offering to help check the colleague’s computer since he or she has basic knowledge of computer hardware.

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Answer:

C

Step-by-step explanation:

We want to solve the equation:

[tex]x^2+2x+7=0[/tex]

Using the quadratic formula. The quadratic formula is given by:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = 2, and c = 7.

Substitute:

[tex]\displaystyle x=\frac{-(2)\pm\sqrt{(2)^2-4(1)(7)}}{2(1)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{-2\pm\sqrt{-24}}{2}[/tex]

Simplify the square root:

[tex]\sqrt{-24}=\sqrt{4\cdot 6\cdot -1}=\sqrt{4}\cdot\sqrt{6}\cdot\sqrt{-1}=2i\sqrt{6}[/tex]

Hence:

[tex]\displaystyle x=\frac{-2\pm2i\sqrt{6}}{2}[/tex]

Simplify:

[tex]\displaystyle x=-1\pm i\sqrt{6}[/tex]

Hence, our solutions are:

[tex]\displaystyle x=\left\{-1+i\sqrt{6}, -1-i\sqrt{6}\right\}[/tex]

Our answer is C.

Answer: no

Step-by-step explanation:

Zero is neither positive or negative

Answer:

  (a)  11

Step-by-step explanation:

You want the degree of the monomial 7m^6n^5.

The degree of a monomial is the sum of the exponents of its variables.

  m has an exponent of 6

  n has an exponent of 5

The degree is 6+5 = 11.

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

Triangles, which have three sides and three angles, can be made by joining any three points in a plane. One of the first geometric shapes to be examined was them. They are especially crucial because any polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle.

Triangles, which have three sides and three angles, can be made by joining any three points in a plane. One of the first geometric shapes to be examined was them. They are especially crucial because any polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle.

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The error interval for the length ,x, of the material is [8.25, 8.35)

We know that error interval is nothing but the limits of accuracy when a number has been rounded.

It is the range of possible values that a number could have been before a number was rounded.

Here, The length L of a some material is 8.3 meters.

The length of the material has been rounded to 8.3 to one decimal place.

The number below 8.3 is 8.2 and the number above is 8.4

Consider a half way between 8.2 and 8.3 for the lower bound and half way between 8.3 and 8.4 for the upper bound.

This means, the length of the material must have been between 8.25 meters and 8.35 meters to round to 8.3 meters to one decimal place.

Therefore, the required error interval would be 8.25 ≤ x < 8.35

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Answer:

$80 in interest for four years. She has to pay back a total of $480

Step-by-step explanation:

The line x= -4 is a vertical line passing through x-axis.

It is a distance of 4 units from the x-axis and is parallel to the y-axis.

Vertical Line in a coordinate plane refers to a line that is perpendicular to the Y-axis. From top to bottom and from bottom to top, it is a straight line. The x-coordinate of every point along this line will be the same. The points of vertical lines include, for instance, (2,0), (3,0), (-4,0), etc. Similar to this, a horizontal line is a line that runs parallel to the x-axis from left to right.

There is no slope to the vertical lines. It follows the y-axis parallel, hence the slope is not known. As a result, the equation for the vertical line that at any point, let's say 'a', crosses the x-axis is:

x = a

where x is a point on the line's coordinate.

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The solution of the equation 3(2m - 1) ≤ 4m + 7 is option A m ≤ 5.

A mathematical statement known as an inequality in algebra uses the inequality symbol to show the relationship between two expressions. An inequality symbol denotes that the expressions on each side are not equal.

The given inequality is 3(2m - 1) ≤ 4m + 7

Remove the brackets by multiplying 3 with each term inside it:

6m - 3 ≤ 4m + 7

Subtract 4m from both sides of the equation.

6m - 3 - 4m ≤ 4m + 7 - 4m

2m -3 ≤ 7

Add 3 to both sides of the equation.

2m - 3 + 3 ≤ 7 + 3

2m ≤ 10

Divide both sides of the equation with 2.

2m/2 ≤ 10/2

m ≤ 5

Hence the solution of the equation is m ≤ 5, that is option A.

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Katie is correct. Any number with 4 as a factor will also have 8 as a factor; therefore, any number with 8 as a factor will have 4 as a factor.

Katie is correct. Any number that is a multiple of 8 will also be a multiple of 4 because 8 is divisible by 4. For example, 8 is a multiple of 4 (8 = 2 x 4) and 16 is a multiple of 8 (16 = 2 x 8) and also a multiple of 4 (16 = 4 x 4). So, any number that is a multiple of 8 will also be a multiple of 4.  So any number that is a multiple of 8 will also be a multiple of 4. Note that 80 is a multiple of 8, but not 4.

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Answer:

volume of a sphere is ⁴/³π r³

⁴/³ ×3.14 × 23³

3 goes into 3.14 , 1.047 times

4 ×1.047×23³

50939.17

Step-by-step explanation:

hope itade sense