A bouncy ball is dropped such that the height of its first bounce is 5.5 feet and each successive bounce is 60% of the previous bounce's height. What would be the height of the 6th bounce of the ball? Round to the nearest tenth (if necessary).

Answer:

(-5, 1)

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

[tex] - x - 4 = \frac{3}{5} x + 4[/tex]

Solve − x −4 =35x + 4 for x.

[tex]x = - 5[/tex]

Evaluate y when x = −5.

[tex]y = 1[/tex]

hence, the system of this equation is (-5, 1).

The solution to the equation x² + 5x = 0 is x = 0 or x = -5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

x² + 5x = 0   be equation (1)

Now , on simplifying the equation , we get

On factorizing the equation , we get

Taking the common factor x ,

x ( x + 5 ) = 0

Now , x can take 2 values which will satisfy the given equation

when x = 0 or ( x + 5 ) = 0

when x = 0

Substitute the value of x in the equation , we get

0 ( 0 + 5 ) = 0

0 = 0

The equation is true when x = 0

And ,

when ( x + 5 ) = 0

Subtracting 5 on both sides of the equation , we get

x = -5

when x = -5

-5 ( -5 + 5 ) = 0

-5 x 0 = 0

0 = 0

The equation is true when x = -5

Hence , the solution is 0 , -5

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Answer:

hi

Step-by-step explanation:

Answer:

42 degrees

Step-by-step explanation:

the other angles are 90 and 48

Answer:

r ≈ 7.80 yd

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

Here C = 49 , then

2πr = 49 ( divide both sides by 2π )

r = [tex]\frac{49}{2\pi }[/tex] ≈ 7.80 yd ( to the nearest hundredth )

Answer:

0.138

Step-by-step explanation:

Answer:

0.388888888888

Step-by-step explanation:

take 36 to the nearest hundred.

times the numerator with the same number

and convert

Answer:

2

Step-by-step explanation:

22 - 2y

= 22 - 2 ( 10 )

= 22 - 20

= 2

9514 1404 393

Answer:

  (x, y) = (4, 10)

Step-by-step explanation:

The coefficients of y are opposites, so the y-terms can be eliminated by adding the equations.

  (8x -5y) +(2x +5y) = (-18) +(58)

  10x = 40 . . . . . . simplify

  x = 4 . . . . . . . . . divide by 10

Substituting this into the second equation gives ...

  2(4) +5y = 58

  5y = 50 . . . . . . . . subtract 8

  y = 10 . . . . . . . . . .divide by 5

The solution is (x, y) = (4, 10).

Answer:

a

Step-by-step explanation:

the common d/ce is four but not common ratio

The type of Sequence from [tex]a_1[/tex] = 2 and [tex]a_n[/tex] = [tex]a_{n-1}[/tex] + 4 is Arithmetic and recursive.

In algebra, an arithmetic sequence is a set of numbers whose every two consecutive terms have the same difference.

An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k. In a geometric sequence, each term rises by dividing by or multiplying by a certain constant k.

For example in the arithmetic sequence 3, 9, 15, 21, 27, the common difference is 6.

Given:

[tex]a_1[/tex] = 2

[tex]a_n[/tex] = [tex]a_{n-1}[/tex] + 4

We know that the Arithmetic Sequence is of two forms

Explicit Form : [tex]a_n[/tex] = a+ (n-1)d

and, Recursive form: [tex]a_n[/tex] = [tex]a_{n+1}[/tex] + d

Now, we have [tex]a_n[/tex] = [tex]a_{n-1}[/tex] + 4 which is in the form of Recursive.

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Answer:

5 is the answer

Step-by-step explanation:

⅚÷⅙

5/6*6/1

5

Answer:

7.78 kilograms

Answer:

2740.5

Step-by-step explanation:

This is what I got why I did was multipley them

Answer:

2740.5

Step-by-step explanation:

This is what I got when I multipled

Answer:

621.75

Step-by-step explanation:

Hope this helps!!!

Step-by-step explanation:

Given

f(x) = |x + 2|

g(x) = - (x)²

Now

(g•f) (3) = g ( 3 + 2 )

= g(5)

= - (5)²

= -25

Hope it will help :)

Answer:

the temperature was still suitable for the greenhouse

Step-by-step explanation:

The answer is 12/2, well that's what I got.

Either way this question might get deleted so yeah

12

Step-by-step explanation:

12 divided by 2 is 6. so this would be the answer.

Answer:

the answer is 50 square ft bc i counted the squares and i got 50

Step-by-step explanation:

Answer:

i think it would be C

Step-by-step explanation:

just add all the squares

Answer:

[tex]Aear=2450cm^{2}[/tex]

Step-by-step explanation:

The figure is made up of a rectangle, parallelogram, and square.

Area of the rectangle is 50(15)=750 cm²

Area of the parallelogram is 40 (40)=1600cm²

Area of the square is 10(10)=100 cm²

The total area is 750+1600+100= 2450 cm²

[tex]-------------------[/tex]

hope it helps..

have a great day!!!

Answer:

The correct angle is 45.3°

Step-by-step explanation:

Since the opposite side of the angle is 32 feet, and the hypotenuse of the right triangle is 45 feet, you would know that the sine of x° is equivalent to [tex]\frac{32}{45}[/tex]. To find the value of x, take the arcsin of both sides and you'll get that [tex]x = arcsin(\frac{32}{45})[/tex] ⇒ [tex]x[/tex] ≈ 45.3°.

Answer:

look at this

o(*≧□≦)o

Step-by-step explanation:

MATH-WAY

Answer:

I dunno.... like 29876?

Step-by-step explanation:

Answer:

you can organize them 24 different ways

The different ways can he line the textbooks up on his bookshelf is 24

The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation.

Given that, Connor is organizing textbooks on his bookshelf. He has a Spanish textbook, a math textbook, a physics textbook, and a health textbook.

The number of ways to arrange n things = n!

Number of different books = 4

Number of different ways to arrange 4 different books =4!

Number of different ways to arrange 4 different books= 4 x 3 x 2 x1

Number of different ways to arrange 4 different books = 24

Hence, the different ways can he line the textbooks up on his bookshelf = 24

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Responder:

20.000

Explicação passo a passo:

Dado que:

Porcentagem de bois no rebanho = 15%

Percentagem de vacas = (100 - 15)% = 85%

Número de vacas = 17.000

Por isso,

85% = 17.000

15% = x

Multiplicação cruzada

0,85x = 17.000 * 0,15

0,85x = 2550

x = 2550 / 0,85

x = 3000

Número de bois no rebanho = 3000

Portanto, número total de gado no rebanho =

3000 + 17000 = 20.000

Answer:

V≈2143.03cm³

Step-by-step explanation:

The volume of the sphere is 2143.57 cm³.

A = 4 × π × r², where 'r' is the radius of the sphere.

V = (4/3) × π × r³

For given example,

a surface area of the sphere is 803.84 cm^2.

⇒ A = 803.84 cm²

Using the formula of the surface area of the sphere,

⇒ 4πr² = 803.84

⇒ r² = 64

⇒ r = 8 cm

Using the formula of the volume of the sphere,

⇒ V = (4/3) × π × r³

⇒ V = (4/3) × 3.14 × 8³

⇒ V = 2143.57 cm³

Therefore, the volume of the sphere is 2143.57 cm³.

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Answer:

Step-by-step explyou have a big brother or sister

Answer:

A) [tex]27 = b + 9[/tex]

[tex]b=18[/tex]

Step-by-step explanation:

When given a balanced scale (represented by a hanger in this image), the sum of the values on one side equals the value on the other side. Thus, the equation that this hanger represents is the following:

[tex]27 = b + 9[/tex]

Use inverse operations to solve this equation,

[tex]27 = b + 9[/tex]

[tex]-9[/tex]

[tex]18 = b[/tex]

Answer:

NO it is not

Step-by-step explanation:

To check that, we will need to substitute the value of each of the coordinates in each of the equations

10x-y = -6

substitute 1 for x and 6 for y

we have this as;

10(1)-6 = 4

Outrightly, we can see that the given point is not a solution to the given system of equations

however, let us confirm for the second

We have this as;

-10(1) + 5(6)

= -10 + 30 = 20

so we can confirm that it does not work for any of the two and our answer is NO

Answer:

Step-by-step explanation: