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3 years ago

Express 0.8342 as a fraction

Mathematics

1 answer:

prohojiy [21]3 years ago

5 0

0.8342 = 4171/5000
.................

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Suppose a ball is thrown upward to a height of h 0 meters. After each bounce, the ball rebounds to a fraction r of its previous

gladu [14]

Answer:

A)1st term:45

2nd term:48.75

3rd term:49.6875

4th term:49.921875

B) Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

Step-by-step explanation:

We are given;

h₀ = Initial height of the ball = 30

r = Rebound fraction = 0.25

a) The arithmetic sequence of bouncing balls is given by the following;

Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)

The first term of the sequence is;

S₁ = h₀ + 2h₀r¹

S₁ = 30 + (2 × 30 × 0.25)

S₁ = 45

The second term of the sequence is;

S₂ = h₀ + 2h₀(r¹+r²)

S₂ = 30 + (2 × 30 × (0.25 + 0.25²)) = 48.75

The third term of the sequence is;

S₃ = h₀ + 2h₀(r¹ + r² + r³) = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³)) = 49.6875

S₄ = h₀ + 2h₀(r¹ + r² + r³ + r⁴)

S₄ = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³ + 0.25⁴)) = 49.921875

B) The general expression for the nth term of the sequence is;

Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

4 0

3 years ago

Please help Much appreciated

mafiozo [28]

Answer:

x^2 -10x+25

Step-by-step explanation:

(x-5)^2

Rewriting

(x-5)(x-5)

FOIL

first: x*x = x^2

outer: x* -5 = -5x

inner: -5*x = -5x

last: -5 * -5 = +25

Add them together

x^2 -5x-5x+25

Combine

x^2 -10x+25

8 0

3 years ago

Read 2 more answers

The answer and to understand

antoniya [11.8K]

Market 1: 3,90/10 = 0.390 $
market 2: 4,44/12= 0,37 $
best price in market 2

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3 years ago

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What is the domain of f(x)=5x^2 2x-1

adoni [48]

Domain of 5x^2 + 2x - 1 is all real numbers.

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PQR is an isosceles triangle in which PQ = PR

otez555 [7]

Answer and Step-by-step explanation: Congruent triangles are triangles with the same three sides and same three angles.

There many ways to determine if 2 triangles are congruent.

One of them is ASA or Angle, Side, Angle and it means that if two angles and the included side of one triangle are equal to the corresponding angles and side on the other triangle, they are congruent.

In this case, angle MRQ and angle NQR are equal. The included side of both triangles are the same QR, so it can be concluded that triangle QNR is congruent to triangle RMQ.

The image in the attachment shows the angles and their included side, which are colored.

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