Find the values of x and y

F(51)

===========================================================

Explanation:

The very large numbers are likely put there as a distraction. They aren't needed. Adding any two adjacent Fibonacci numbers will lead to the next term in the sequence. This is simply based on how the special number sequence is defined or set up.

This means F(49)+F(50) = F(51) i.e. adding the 49th and 50th terms will generate the 51st term.

In general,

F(n) + F(n+1) = F(n+2)

where n is a positive integer.

Answer:

0.33 × 0.2 = 0.066 or [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{15}[/tex]

The solution is, 1/3 of 1/5 is 0.667.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

we have  to find 1/3 of 1/5

now, let,

x be the required number.

so, we get,

1/3 × 1/5 = x

or, x = 1/15

or, x = 0.667

Hence, The solution is, 1/3 of 1/5 is 0.667.

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Answer:

Cora worked 3 hours

Step-by-step explanation:

104 = 18x + 50 ( x = # of hours worked)

54 = 18x   ( subtracted 50 from both sides)

3 = x    ( divided both sides by 18)

Answer:

[tex]\dfrac{x+1}{x-1}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{x^2-1}{x^2-2x+1}[/tex]

Factor the numerator and denominator

[tex]\implies \dfrac{(x+1)(x-1)}{(x-1)(x-1)}[/tex]

Factor out the common term [tex](x-1)[/tex]:

[tex]\implies \dfrac{x+1}{x-1}[/tex]

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[tex]blue{\boxed{ \red{\rm {CarryOnLearning!}}}}[/tex]

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}[/tex]

[tex]BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}[/tex]

[tex]DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89[/tex]

Answer:

Step-by-step explanation:

Answer:

Slope m= -12/5

Step-by-step explanation:

Slope Solution

m=riserun=ΔyΔx

m=y2−y1x2−x1

m=−9−37−2

m=−125

m=−125

In decimals:

m = -2.4

Point Slope Form

y−y1=m(x−x1)

y−3=−125(x−2)

In decimals:

y−3=−2.4(x−2)

Slope Intercept Form

Find the Equation of the Line:

y=mx+b

by solving for y using the Point Slope Equation.

y−y1=m(x−x1)

y−3=−125(x−2)

y−3=−125x−(−125×2)

y−3=−125x−−245

y−3=−125x+245

y=−125x+245+3

y=−125x+395

m=−125

b=395

In decimals:

y=−2.4x+7.8

Standard Form of a Linear Equation

Ax+By=C

Starting with y = mx + b

y=−125x+395

Multiply through by the common denominator, 5, to eliminate the fractions:

5y=−12x+39

Then rearrange to the Standard Form Equation:

12x+5y=39

A=12

B=5

C=39

y-Intercept, when x = 0

y=mx+b

y=−125x+395

When x = 0

y=−125×0+395

y=395

y-intercept=395

(x,y)=(0,395)

In decimals:

(x,y)=(0,7.8)

x-Intercept, when y = 0

y=mx+b

y=−125x+395

When y = 0

0=−125x+395

125x=395

x=395×512

x=3912

x=134

x-intercept=134

(x,y)=(134,0)

In decimals:

(x,y)=(3.25,0)

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2. As it applies to businesses, it is not enough to develop a business idea or plan, as the business person must be prepared to execute and carry the business idea or plan to fruition.

According to Thomas Edison, the superior intellect or creativity we associate with great minds comes from inspiration (the idea) and perspiration (hard work).

Perspiration literarily refers to the sweat that emanates as someone works hard.

Without a strong working ethic, it will be impossible to achieve great results from only the proposition of great ideas or business plans.

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Go through second method

Area of one traingle'-

Area of two triangles=6cm²

Area of rectangle

Total:-

Answer:

Method 1

Find the area of the rectangle, 45 cm².  Subtract the area of the cut-out triangle from the rectangle,  45 - 6 = 39 cm²

Method 2

Separate the ribbon into two triangles and a rectangle.

33 + 3 + 3 = 39 cm²

Step-by-step explanation:

Formulae

Method 1

Area of the rectangle:

= 3 × 15

= 45 cm²

Area of the cut-out triangle:

= 1/2 × 3 × 4

= 6 cm²

Find the area of the rectangle, 45 cm².  Subtract the area of the cut-out triangle from the rectangle,  45 - 6 = 39 cm²

Method 2

Area of the rectangle:

= 3 × (15 - 4)

= 3 × 11

= 33 cm²

Area of one triangle:

= 1/2 × (3 ÷ 2) × 4

= 3 cm²

Separate the ribbon into two triangles and a rectangle.

33 + 3 + 3 = 39 cm²

Answer:

x = -2, y = 10

Step-by-step explanation:

Answer:

2.6 inches

Step-by-step explanation:

As shown in the title if length is x,

x * 1/x = 8/3  * x

8 * 1 = 3x

x = 8/3 in

= 2.6 in

The new length of the rectangular print will be 2.68 feet.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Given a rectangular print with dimensions,

Length = 1 foot = 12 inches

Width = 8 inches.

Area = 12(8) = 96 square inches

Now,

The area of the new print should be the same

So,

96 = Length × 3

Length = 32 inches = 2.67 feet.

Hence "The new length of the rectangular print will be 2.68 feet".

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Answer:

They do not pay the same amount. Manuel's family pays more than Amelia's.

Step-by-step explanation:

General:

Child: c

Adult: 4 + c

Senior: 3 + c

Amelia's Family:

Total cost = 3(c) + 2(4 + c)

= 3c + 8 + 2c

= 5c + 8

Manuel's Family:

Total cost: 2(c) + 4 + c + 2(3 + c)

= 2c + 4 + c + 6 + 2c

= 5c + 10

Answer:

88 m²

Step-by-step explanation:

Formula

Given :

Solving :

In the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.

Length of a line segment is the distance of both the ends of it.

The length of the line segment TU is 6 units.

[tex]TU=6\rm\; units[/tex]

In the figure attached below, the length of line segment RT is 12 and RS is 24. Thus, the value of RS is double than the value of RT.

[tex]RT=2RS\\RS=\dfrac{RT}{2}[/tex]

RS is the total length of the segment, which is equal to the length of RT and ST.

[tex]RT+ST=24\\12+(SU+UT)=24\\(SU+UT)=24-12\\SU+UT=12[/tex]

12 is the length of RT. Thus,

[tex]SU+UT=RT[/tex]

Hence, in the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.

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Answer:

what exactly is the equation?

Step-by-step explanation:

Answer:

-35x³ - 39x² + 25x

Step-by-step explanation:

First write out the equation which is (5x - 3x²) - (5x - 2)(10x + 7x²). Then distribute 5x - 3x²  to -(50x² + 35x³ - 20x - 14x²). After that, combine the like terms and don't forget to distribute the negative as well, 5x - 3x² - 36x² - 35x³ + 20x. Lastly combine all the like terms to end up with this -35x³ - 39x² + 25x.

Hope this helps :)

Answer:

Equations: 40-7=33 and 33÷11=3

Step-by-step explanation:

40-7=33

Since there are 3 sides,(q) then you do 33 divided by 3=11.

Equations: 40-7=33

And

33÷11=3

Answer:

864 cm²

Step-by-step explanation: Volume of cube Side^3

Side of Cube= (1728)^1/3 = 12cm Total surface area = 6 x Side^2= 6 x 144 = 864 cm²

Answer:

three sides

at least two sides of the same length

closed figure

Step-by-step explanation:

1) A triangle is a polygon.

2) Isoceles triangles have 2 equal angles.

3) A triangle has 3 sides

4) An isoceles triangle has 2 acute and 1 obtuse angle

5) An isoceles triangle means to have 2 sides of equal length.

6) A triangle is a closed figure.

Answer:

12 inchis

Step-by-step explanation:

Answer:

Try the a2 +b2=c2

Step-by-step explanation:

Try putting attention next time

Answer:

? = 49

Step-by-step explanation:

To solve this we just need to understand that when A=1, B=7. So when the side for a is 7 that is basically multiplying A by 7 so we have to do the same to the B side. So when the B side is multiplied by 7 it would be 7*7 =49 so the ? is equal to 49 when that similar side is equal to 7.

This is all based on the fact that the two triangles must be similar triangles.

Answer:

12x^3

Step-by-step explanation:

they're trying to confuse you on purpose, but x*8x^2 is the same thing as 8x^3

just add them and you're set

Answer:

An integer is a WHOLE number. No fractions and no decimals. so it would be... no, yes, yes, no, yes

Step-by-step explanation:

To clarify because they try to be tricky here. 27/3 is actually equal to 9 when simplified. Same thing with 40/8... when simplified it equals 5. Both are whole numbers and therefore integers.

Answer:

-76 is an integer and 27/3 and 40/8 could also be as well

Step-by-step explanation:

27/3 is and integer because if you simplify it, it equals 9, an integer. Same for 40/8, it equals 5.

Answer:

2.

A. GCF: 5x

B. GCF: 1

3.

A. 12x² + 38x - 14

B. 9x² - 6x + 1

C. 3x² + 4x - 5

Step-by-step explanation:

2.

a.

5x² - 30x

5x (x - 6)

GCF: 5x

b.

-12x² - 3xy - 4y²

GCF: 1

3.

a.

(2x + 7)(6x - 2)

2x(6x - 2) + 7(6x - 2)

12x² - 4x + 42x - 14

12x² + 38x - 14

b.

(3x - 1)²

(3x - 1)(3x - 1)

3x(3x - 1) - 1(3x - 1)

9x² - 3x - 3x + 1

9x² - 6x + 1

c.

(x + 3)(3x - 2) - (3x - 1)

3x(x + 3) - 2(x + 3)

3x² + 9x - 2x - 6

3x² + 7x - 6 - (3x - 1)

3x² + 7x - 6 - 3x + 1

3x² + 4x - 5

I hope this helps!

Answer:

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

The answer is 32 because 8 x 3 is 24 so then just add 8

Answer:

x = 0.86

Step-by-step explanation:

(3x - 1)(x + 6) = 3.14159 × (x + 1)²

3x² + 17x - 6 = 3.14159 × (x² + 2x + 1)

-0.14159x² + 10.7168x - 9.14159 = 0

x² - 75.6875x + 64.5626 = 0

[tex] x = \dfrac{-(-75.6875) \pm \sqrt{(-75.6875)^2 - 4(1)(64.5626)}}{2(1)} [/tex]

x = 74.825  or  x = 0.8628

Answer: x = 0.86

It is:

x = 0.86

i took the test and got it right, but we go to the same school lol, I just go to the Arizona version.

if the diameter is 8, then its radius is half that or 4.

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-8}{ h},\stackrel{-5}{ k})\qquad \qquad radius=\stackrel{4}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-(-8)]^2~~ + ~~[y-(-5)]^2~~ = ~~4^2\implies (x+8)^2+(y+5)^2=16[/tex]