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Gemiola [76]
3 years ago
12

What is the 5th term in the sequence d(n)=5/16 (2)^n−1

Mathematics
1 answer:
Verizon [17]3 years ago
5 0

Answer:

Therefore the 5th term is 5.

Step-by-step explanation:

Given:

Sequence is

d(n)=\dfrac{5}{16}2^{n-1}

To Find:

5th term, d(5) = ?

Solution:

d(n)=\dfrac{5}{16}2^{n-1} ....Given

For 5th term put n = 5 then we get

d(5)=\dfrac{5}{16}2^{5-1}=\dfrac{5}{16}\times 2^{4}\\\\d(5)=\dfrac{5}{16}\times 16=5\\\\\therefore d(5)=5

Therefore the 5th term is 5.

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there are four semi trailer trucks parked in a line at the rest stop after the first truck each truck in the line weighs 2 tons
alexira [117]
Call the weght of the first truck "w_{1}". We then know that the truck after that is 2 tons more, and the next and the next. i.e:
w_{2} = w_{1} + 2
w_{3} = (w_{2} + 2) = (w_{1}+4)
w_{4} = (w_{3} + 2) = (w_{1}+6)

We also know that total is 32 tons. 
w_{total} = 32 = (w_{1}) + (w_{2}) + (w_{3}) + (w_{4})
32 = (w_{1})+(w_{1}+2)+(w_{1}+4)+(w_{1}+6)
32= 4(w_{1})+12
20=4(w_{1})
w_{1} = 5 tons

Therefore the trukcs weigh 5,7,9 and 11 tons for a total of 32 tons.

Converting to pounds, the trucks weigh 10,000, 14,0000, 18,0000 and 22,000 pounds. 
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3 years ago
Determine if Line AB and Line CD are parallel, perpendicular, or neither. Show work.
IrinaK [193]
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3 years ago
If p(x) = 6x³ + 5x² + 7x - 5, find the coefficient of x³​
denpristay [2]

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Step-by-step explanation:

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How many numbers are 10 units from 0 on the number line?​
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Step-by-step explanation:

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(2A)<br> Find f(2x + 4) for f(x) = 1 - x2
Aleksandr-060686 [28]

Answer:

f(2x + 4) = -4x² - 16x - 15

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients
  • Expanding (FOIL)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 1 - x²

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function f(x)]:                                                                          f(2x + 4) = 1 - (2x + 4)²
  2. Expand [FOIL]:                                                                                                  f(2x + 4) = 1 - (4x² + 16x + 16)
  3. (Parenthesis) Distribute negative:                                                                   f(2x + 4) = 1 - 4x² - 16x - 16
  4. Combine like terms:                                                                                          f(2x + 4) = -4x² -16x - 15
8 0
2 years ago
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