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Therefore exact coordinates of Centroid  = (0,3/2)

The centroid of a flat figure or solid figure, also known as the geometric center or center of figure, in mathematics and physics, is the arithmetic mean position of all the points on the figure's surface. Any n-dimensional Euclidean object is included by the same definition.

A polygon having three edges and three vertices is called a triangle. It is one of the fundamental geometric forms. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

This region is a parabola opening downward, with vertex at (0, 49) and a range of y values from 0 to 49. The region is symmetric about the y-axis, This means that the x-coordinate of the centroid is at 0.

To find the y-coordinate:

Integral from -√(49) to √(49) of (49-x²) x dx = [x²(49-x²)/3] from -√(49) to √(49) = (492√(49))/3 = (98√(49))/3

The area is integral from -√(49) to √(49) of (49-x²) dx = [x(49-x²)/2] from -√(49) to √(49) = (49*(2√(49)) - (2/3)(49^(3/2)))/2 = (49*(2*√(49)) - (98√(49))/3)/2

Therefore Centroid = (0, (98√(49))/(49*(2*√(49)) - (98√(49))/3)) = (0,3/2)

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Answer:

1. the second one.

2. 7 faces

3. im not positive but I believe its 9

4. 24/3 = 8 30/7 30/7= 4 and 2/7

5. underline the second, third, and 4th

6. 195 minutes. 3 hours and 25 minutes

7. 768

8. 4/2, 20/5, 16/2, 30/3

9. 20

10. 6 7/10, 10 4/5, 15 8/20

11. 0.2

12. 0.2

13. Monday and Friday

14. 3rd also known as the rhombus

15. between 6,000 and 7,000

16. equal to

Step-by-step explanation:

I hope this helps :))

Answer: q1=11 q2=15 q3=20

Step-by-step explanation:

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of any straight line, we simply need two points off of it, let's use those provided

[tex]R(\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad S(\stackrel{x_2}{15}~,~\stackrel{y_2}{31}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{31}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{15}-\underset{x_1}{5}}} \implies \cfrac{ 24 }{ 10 } \implies \cfrac{12 }{ 5 }[/tex]

keeping in mind that perpendicular lines have negative reciprocal slopes

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{12}{5}} ~\hfill \stackrel{reciprocal}{\cfrac{5}{12}} ~\hfill \stackrel{negative~reciprocal}{ {\Large \begin{array}{llll} -\cfrac{5}{12} \end{array}} }}[/tex]

Step-by-step explanation:

the slope of a line is the ratio

y coordinate change / x coordinate change

when going from one point on the line to another.

the perpendicular slope is simply turning that ratio fraction upside down and flips the sign.

(5, 7) to (15, 31)

x changes by +10 (from 5 to 15).

y changes by +24 (from 7 to 31).

the slope (or gradient) is therefore

+24/+10 = 12/5

the perpendicular slope or gradient is then

-5/12

The solution to the above math arithmetic is 5115.

Finding the sum and difference of two integers are the two main addition and subtraction arithmetic procedures. They are both the other's polar opposite. An ordered group of integers with a shared difference between each word is known as an arithmetic sequence. The common difference, for instance, between the mathematical series 3, 9, 15, 21, and 27 is 6.

This grouping contains percent difficulties, decimal recognition, addition, subtraction, multiplication, and division as well as fraction and percent equivalences and estimate issues.

For instance, 5 + 6 = 11 and 11 - 6 = 5.

5x35 + 65x76=5115

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Answer:

popcorn is usually around 5 dollars and a drink is 3 so: 5 x 3

Step-by-step explanation:

Answer:

drink (d) + popcorn (p) = total cost

Answer:

Yes it's possible you just got to crop it to your liking

Answer: upload it’s to your drive on your computer

Step-by-step explanation:

The quartic equation y = x⁴ - x³ - 5 · x² - x - 6 has x = - 2 and x = 3 as its only real zeros. (Correct choice: C)

Quartic equations are polynomials of grade 4, whose standard form is described below:

y = a · x⁴ + b · x³ + c · x² + d · x + e

Where a, b, c, d, e are real coefficients. A value of x is a zero of a polynomial when the result is equal to zero. The quickest way to find the polynomial is by evaluating each expression at x = - 2 and x = 3:

x = - 2

y = (- 2)⁴ - (- 2)³ - 5 · (- 2)² - (- 2) - 6

y = 16 + 8 - 20 + 2 - 6

y = 0

x = 3

y = 3⁴ - 3³ - 5 · 3² - 3 - 6

y = 81 - 27 - 45 - 3 - 6

y = 0

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Volume of pyramid:

= ⅓ × l × w × h

= ⅓ × 9 × 9 × 7

= 3 × 63

= 189 ft³

Answer:

4 x 8.5 x 12.5 =425 (multiple hight x width x length)

The volume of the box is [tex]425in^{3}[/tex]

Answer:

3

Step-by-step explanation:

the equations of the lines are y= -1/2x+3(red) and y= -1/2x+4(blue)

rearrange the equations to find a match

1. y= -1/2x+ 4

y= -1/2x+3

2. y= 1/2x+4

y= 1/2x+3

3. y= -1/2x+4

y= -1/2x+3

4. y= -1/2+4

y= 1/2x-3

Answer:

1 3/4

Step-by-step explanation:

[tex]4\frac{1}{4}- 2\frac{2}{4} \\\\17/4 - 10/4\\7/4\\1 3/4[/tex]

Answer:

Converting from Mixed numbers to Fraction

4¹/4 = 17/4

2²/4 = 10/4

17/4 – 10/4

= 7/4

You can also change this answer into Mixed Number

it'll be 1 3/4 (One whole number, three over four)

Answer:

see below

Step-by-step explanation:

OK, so volume of LxWxH. so for shape 1 it's 14x8x7=784

Its asking for base times height which is 112 so the blanks are 112 then 7 then 784

the second one is the same. the base is 81 times the height of 9 which is 729

so the blanks are 81 than 9 than 729

the third base is 20 times height of 11 which is 220

so the blanks are 20 than 11 than 220

Answer: I think it’s skewed right

Step-by-step explanation:

Answer:

The probability mass function :

P(X1 = 1, X2 = 1) = 5/13 * 4/12 = 5/39

P(X1 = 1, X2 = 0) = 5/13 * 8/12 = 10/39

P(X1 = 0, X2 = 1) = 8/13 * 5/12 = 10/39

P(X1 = 0, X2 = 0) = 8/13 * 7/12 = 14/39

Step-by-step explanation:

Given :

Number of white balls = 5

Number of red balls = 8

Total number of balls = (5 + 8) = 13

P(X1 = 1, X2 = 1) = 5/13 * 4/12 = (5/13 * 1/3) = 5/39

P(X1 = 1, X2 = 0) = 5/13 * 8/12 = (5/13 * 2/3) =10/39

P(X1 = 0, X2 = 1) = 8/13 * 5/12 = (2/13 * 5/3) =10/39

P(X1 = 0, X2 = 0) = 8/13 * 7/12 =(2/13 * 7/3) = 14/39

Answer: 2 fishes

Step-by-step explanation:

From the question, we are informed that Quentin places 58 fish in several tanks and that he places 8 fish in each tank. This means the amount of tanks that'll be used will be:

= 58/8

= 7 2/8

Since 7 tanks will be used and each tank contains 8 fishes, the number of fishes will be: = 7 × 8 = 56

Since there are 58 fishes and 56 fishes are in the tank, there'll be a remainder of (58 - 56) = 2 fishes which will be placed in the small fish bowl.

Answer:

Step-by-step explanation:

Dolls:240 Teddy Bears:120

120:240

Please Describe the fraction If Possible.

The area of the trapezoid is 1.5x² + 2x. If the height is increased by 4 feet, the new area would be 1.5x² + 8x

An equation is an expression that shows the relationship between two or more numbers.

Let x represent the height of the trapezoid.

a) One base of trapezoid measures five feet greater than its height. Hence:

First base = x + 5

The other base is one foot less than twice its height, hence:

Second base = 2x - 1

Area = (1/2)(sum of bases) * height = (1/2)(x + 5 + 2x - 1)(x) = 1.5x² + 2x

b) The height is increased by 4 feet. New height = x + 4

First base = (x + 4) + 5 = x + 9

Second base = 2(x + 4) - 1 = 2x + 7

Area = (1/2)(sum of bases) * height = (1/2)(x + 9 + 2x + 7)(x) = 1.5x² + 8x

The area of the trapezoid is 1.5x² + 2x.

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Answer:

sq root of 21=7

Step-by-step explanation:

we need to use Pythagoras theorem

so distance(isa-jul)^2 +distance(ele-jul)^2= distance(isa-ele)^2

now just do the square root and there you go.

Answer:

No solution exists. Hope that helps sorry it took me long I was typing alot as you can see bye and have a great day!

Step-by-step explanation:

1. Break down the problem into these 2 equations 2x+3=-5 -(2x+3)=-5

2. Solve the 1st equation : 2x+3=-5  Subtract 3 from both side 2x=-5-3 =-8 divides both sides by 2 x= -8/2 which give you x=-4 Now solve the 2nd equation : -(2x+3)=-5  Remove parentheses -2x-3=-5 add 3 to both sides  -2x=-5+3=-2 Divide both sides by -2x=-2 which would give you x=1

When x=-4x, the original equation ∣2x+3∣=−5 does not hold true.

We will drop x=-4x from the solution set.

When x=1, the original equation |2x+3|=-5 does not hold true.

We will drop x=1, from the solution set. So, No solution would be your answer.

Answer: nine

Step-by-step explanation: 36 - 25 = 9 or 25% x 1 + 36 = 9

Answer:

9

Step-by-step explanation:

1 first split  36 by 4 because  25% is 1/4

2 once when divided you should get 9 because 9x4 is 36  

Answer:

dddd

Step-by-step explanation:

Answer:

see image below

Step-by-step explanation:

Answer:

Mode: None

Range: 14

Median: 5.5

Mean: 6

Hope this helps!

Answer:

9. The mode is: There is no mode all the numbers occur once.

10. The range is: 14

11.  The median is: 5.5

12. The mean is: 6

Answer

Cost of each jersey $6.75

Cost of each pair of socks $4.69

Cost of sales tax $1.03

Step-by-step explanation:

To find the cost of the socks you fist add $6.75 + $1.03 and you get $7.78.Then you subtract that by $21.85.After that you do $14.07 divided by 3 and you get $4.69.

Answer: A.

= 2

= 9

Step-by-step explanation:

edge2021

Answer:

A

Step-by-step explanation:

EDGE

Answer:

105.72 meters

Step-by-step explanation:

We can set up a system of equations to represent the information given in the problem, and then use algebra to solve for the length of the blue rope. Let x be the length of the red rope.

According to the problem statement:

blue rope = 3 * red rope = 3x

green rope = 4 * blue rope = 4 * 3x = 12x

we know that:

red rope + blue rope + green rope = 563.84

x + 3x + 12x = 563.84

then we can solve for x:

16x = 563.84

x = 35.24

So the length of the red rope is 35.24 meters.

The length of the blue rope is 3x = 3 * 35.24 = 105.72 meters.

The domain and range of the absolute value function are the ones in the first option.

Here we have the absolute value function:

f(x) = |x - 3| + 6

The domain for all absolute value functions is the set of all real numbers, as there are no input that generates a problem with the function.

And the range, the set of the inputs, has a minimum at the vertex.

Remember that if the vertex is (h, k), then we can write the function as:

f(x) = |x - h| + k

Then in this case:

f(x) = |x - 3| + 6

The vertex is at (3, 6)

Then the range is the set of all real values equal to or larger than 6, or:

y ≥ 6

Then the correct option is the first one:

Domain: {x|x is all real numbers}

Range: {yly ≥ 6}

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