Using static equilibrium calculations, calculate the length from the fulcrum to the
resistance force.

Part A

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Explanation:

AP = arithmetic progression, which is another way of saying arithmetic sequence.

Let d = common difference

Apply substitution like so

x+d = 30

10+d+d = 30 ... replaced x with 10+d

10+2d = 30

2d = 30-10

2d = 20

d = 20/2

d = 10 is the common difference

Therefore,

x = 10+d = 10+10 = 20

The AP {10,x,30} updates to {10,20,30}. We see the gap between terms is 10 units. All AP's have the same gap width between adjacent terms.

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Part B

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Explanation:

We use the same ideas mentioned back in part A.

d = common difference = unknown for now

Hopefully you can see how each term builds up to form the next one. We'll solve that last equation like so

6+3d = 18

3d = 18-6

3d = 12

d = 12/3

d = 4

So we then can say:

The arithmetic sequence {6,x,y,18} updates to {6,10,14,18}. There's a gap of 4 between each adjacent term.

Answer:

350

Step-by-step explanation:

Do 140/0.4=350

Answer:

350 apples

Step-by-step explanation:

a = total number of apples in the crate

a* 40% = number of red apples

a * .40 = 140

Divide each side by .40

a * .40/.40 = 140/.40

a =350

Answer:

81.9

Step-by-step explanation:

mark me brainliest plzz

234(234)×0.3

234×234×0.3

54,756×0.3

16,426.8

Answer:

answer is 1.1

Step-by-step explanation:

11(1331)

11(121)

11(11)

(1)

10(1000)

10(100)

10(10)

(1)

(11/10*11/10*11/10)^(1/3)

=11/10

=1.1.

Answer:

1.1

Step-by-step explanation:

a liner pair is the pair of adjacent angles formed when two line intersect

Answer:

Area = 6x + 36

Perimeter = 3x + 10

Step-by-step explanation:

Sides of the triangle:  12 ; (x - 7)  & (2x + 5)

Perimeter of the triangle = sum of all the sides

      = 12 + x - 7 + 2x + 5

      = 2x + x + 12 - 7 + 5     {Combine like terms}

      = 3x  + 10

Area of triangle:

Base = 12  & height = h = x +6

[tex]Area = \dfrac{1}{2}b*h\\\\=\dfrac{1}{2}*12*(x+6)\\\\[/tex]

= 6 *(x + 6)       {Use distributive property}

= 6*x + 6*6

= 6x + 36

Answer:

see explanation

Step-by-step explanation:

Given

6 - 4x - x²

Since the coefficient of the x² term < 0 then parabola has a maximum vertex.

To find the x- coordinate of the vertex

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

with a = - 1 and b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{-2}[/tex] = - 2

The corresponding y- coordinate is found by substituting x = - 2 , that is

6 - 4(- 2) - (- 2)² = 6 + 8 - 4 = 10

vertex = (- 2, 10 )

The maximum value of the function is the y- coordinate of the vertex

Then maximum value is 10

Thus 6 - 4x - x² is never greater than 10

Answer:

500

Step-by-step explanation:

5000 divided by 10

Answer:

77 : 55

Step-by-step explanation:

77 : 55

divide the ratio by 11.

7 : 5

Answer:

Step-by-step explanation:

1) 3 + 4*2*29 = 3 + 232  = 235  

First we have to do multiplication and then we have to add

2) 5n + 1

Term 1 ; n = 1  ;  5n + 1 = 5*1 + 1 = 5 + 1 = 6

Term 2 ; n = 2 ; 5n + 1 = 5*2 + 1 = 10 + 1 = 11

Term 3 ; n = 3 ; 5n+ 1 = 5*3 + 1 = 15 + 1 = 16

Term 4; n = 4  ; 5n + 1 = 5*4 + 1 = 20 + 1 = 21

The sequence : 6 , 11, 16 , 21 ..........

Answer:

adding by 13

Step-by-step explanation:

subtract 54-41

Answer:

x = 6 for Side 14 - 2x

x = 9 for Side 2x + 1

x = 11 for Side 3x - 1

Step-by-step explanation:

14 - 2x + 2x + 1 + 3x - 1 = 26

-2x  + 2x + 3x - 1 + 1 + 14 = 26

3x + 14 + 1 - 1 = 26

3x + 14 = 26

    -14      -14

-------------------

3x = 12

/3     /3

------------------

x = 4

Now, plug x = 4 into all the side expressions and find out their lengths.

14 - 2x

= 14 - 2(4)

= 14 - 8

= 6

2x + 1

= 2(4) + 1

= 8 + 1

= 9

3x - 1

= 3(4) - 1

= 12 - 1

= 11

Add all the lengths you got and you will see the perimeter is indeed 26, which means our side lengths are correct.

6 + 9 + 11 = 26

26 = 26 CORRECT

Answer: I THINK fraction

Step-by-step explanation:

1/4 = fraction

Answer:

1) [tex] - \frac{4}{5} [/tex]

2) [tex] \frac{9}{8} [/tex]

Step-by-step explanation:

[tex] \frac{2}{5} - \frac{2}{3} = \frac{2 \times 3}{5 \times 3} = \frac{2 \times 5}{3 \times 5} = \frac{6}{15} - \frac{10}{15} [/tex]

[tex] \frac{6 - 10}{15} = - (10 - 6) = - 4[/tex]

[tex] = - \frac{4}{15} [/tex]

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[tex] \frac{3}{4}+\frac{3}{8} [/tex]

[tex] \frac{6+3}{8} [/tex]

[tex] = \frac{9}{8} [/tex]

Answer:20 minutes per pound

we know that

To find the unit rate divide the total time by the total weight

Convert mixed number to an improper fraction

Convert hours to minutes

so

Find the unit rate

therefore

20 minutes per pound

Answer:

D

Step-by-step explanation:

given that

A(n)=-2•2^(n-1)

n->represent the terms

A(1)=-2•2^(1-1)=>-2•2^0

A(1)=-2•1=-2

For the fourth term

A(4)=-2•2^(4-1)

A(4)=-2•2^(3)

A(4)=-16

for the 8th term

A(8)=-2•2^(8-1)

A(8)=-2•2^(7)

A(8)=-256

Therefore first, fourth and eight => -2;-16;-256

Step-by-step explanation:

Solution:

Here,

Volume of the tank=539 litres

=539×1000cm^3=539000cm^3

Height=1.4×100cm=140cm

Let the radius of the base be r cm

Then,

22/7×r^2×140=539000

or,r^2=539000×7/22×140

or,r^2=1225

or,r=35 cm

So,

Area of base=pie r^2

=22/7×35^2

=3850 cm^2

Keep smiling and hope u r satisfied with my answer.Have a good day :)

Given Data:

Capacity of the Cylinder tank, V = 539 litres =

Height, h = 1.4 m

Area of the Cylinder, A = ?

Convert litres to m³: I litre = 0.001 m3

: . Capacity of the Cylinder tank = 539 litres = 0.539 m³

Let the radius of the base be r cm.

Find the radius of Cylinder:

Volume = πr²h

0.539 = πr²(1.4)

0.539 ÷ 1.4π = r²

r² = 0.12255

r = √0.12255

r = 0.35m

Find Area of Base:

Area, A = πr²

Area = π(0.35)² = 0.385 m²

Answer: The Area of base is 0.385 m²

Answer:

Step-by-step explanation:

The y-intercept exists where the x coordinate is 0. Therefore, we can find it by plugging in a 0 for x and solving for y:

6(0) - 3y + 6 = 0 and

-3y + 6 = 0 and

-3y = -6 so

y = 2

Answer:

Irrational

Step-by-step explanation:

Its irrational as it has no pattern of numbers after decimal point and the number are infinite

Answer:

irrational because it has a coma after one number

Answer:

5.8°C

Step-by-step explanation:

[tex]6 \times 0.9 = 5.4[/tex]

[tex]Therefore, 0.9 + 5.4[/tex]

[tex] = 5.8[/tex]

it will take her 34 mins coz I said so innit

Answer:

I think the answer is x = 2

Answer: 2

Step-by-step explanation:

-6x+5=3-5x

+5x +5x

-x +5=3

-5 -5

-x = -2

-2 -2

X=2

Step-by-step explanation:

30000+2000+600+50+1+0.9+0.07

Concept:

First write ten thousands ,then thousands then hundred,then tens then ones then thenths then hundredths.

Answer:

[tex]1 \frac{2}{6} [/tex]

Step-by-step explanation:

[tex]8 \times \frac{1}{6 } = \frac{8}{6} = 1 \frac{2}{6} [/tex]

Answer:

C

Step-by-step explanation:

X intercept <=> y=0

Hence the x intercept is x=2

Step-by-step explanation:

f + 8 > g this can be written in other ways but this sums it up