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nalin [4]
2 years ago
13

What do you call the number beside the variable in the expression?

Mathematics
1 answer:
Inga [223]2 years ago
8 0

a numerical ciff3cient c constant

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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
A pair of jeans costs $40 and sales tax is 5%?<br>how much is the total bill?
spin [16.1K]
42$ because 10 % is 4 dollars so that 5% cut that 4 in half witch made it 2
5 0
3 years ago
Read 2 more answers
Solve the system: <br> 2x+6y=36<br> x+4y=20
Assoli18 [71]

<u>Let's solve this problem step-by-step</u>

<u>Let's set</u>:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

   x + 4(2) = 20

   x = 20 - 8

   x = 12

<u>Thus x = 12 and y = 2</u>

<u>Let's check, by substituting these values</u>

  2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20

<u>Answer: x = 12 and y = 2</u>

Hope that helps!

5 0
2 years ago
1 The metal used to make a coin is a mixture of steel and copper. The ratio mass of steel
Masteriza [31]

\huge{ \underline{ \underline{ \gray{ \bf{Solution:}}}}}

Let,

  • Mass of the steel be 108x
  • Mass of the copper be 7x
  • Then, Total mass = 108x + 7x = 115x

Given,

  • Total mass of the coin = 230 mg

That means,

⇛ Total mass of the coin = 230 mg

⇛ 115x = 230 mg

⇛ x = 230 mg/115

⇛ x = 2 mg

Then,

  • Mass of the steel = 108(2) = 216 mg
  • Mass of the copper = 7(2) = 14 mg

☁️ ANSWER - 14 mg (Mass of copper)

<u>━━━━━━━━━━━━━━━━━━━━</u>

7 0
3 years ago
The price of a pair of pants is $29.95 and the sales tax is 5%.
Vika [28.1K]

Answer: $31.45

Step-by-step explanation:

Given : The price of a pair of pants is $29.95.

The sales tax is 5% = 0.05

Required formula :

Total cost = Price + sales tax percent × Price

Total cost= Price (1+Sales tax percent)

i.e. Total cost of the pair of pants= 29.95 (1+0.05) =29.95(1.05)=31.4475 ≈ 31.45

Hence, the total cost of the pair of pants = $31.45

3 0
3 years ago
Read 2 more answers
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