The common difference is x
the first term is x+1
a_8 = x+1 + x(8-1) = x+1 + 7x = 8x + 1
Answer:
Time required by Machine B to create a widget = 4 hours
Step-by-step explanation:
Time taken by Machine A ( 
) = 3 hours
Time taken by Machine B ( 
)= x hours
Time taken by both machines by working together = 12 hours
The time required to both machines by working together to finish a task is given by the formula = 
Put the values in above formula we get
⇒ T = 
⇒ 12 =
⇒ 36 + 12 x = 3 x
⇒ x = - 4 hours
This is the time required by Machine B to create a widget.
Answer:
Step-by-step explanation:
3+√5 is a root.
so 3-√5 is also a root
or (x-(3-√5)) is also a factor of f(x)
The sound wave with a <u>frequency of 20</u> waves/sec is 800 longer than the wavelength of a sound wave with a <u>frequency of 16,000</u> waves/sec
<h3>Calculating wavelength </h3>
From the question, we are to determine how many times longer is the first sound wave compared to the second sound water
Using the formula,
v = fλ
∴ λ = v/f
Where v is the velocity
f is the frequency
and λ is the wavelength
For the first wave
f = 20 waves/sec
Then,
λ₁ = v/20
For the second wave
f = 16,000 waves/sec
λ₂ = v/16000
Then,
The factor by which the first sound wave is longer than the second sound wave is
λ₁/ λ₂ = (v/20) ÷( v/16000)
= (v/20) × 16000/v)
= 16000/20
= 800
Hence, the sound wave with a <u>frequency of 20</u> waves/sec is 800 longer than the wavelength of a sound wave with a <u>frequency of 16,000</u> waves/sec
Learn more on Calculating wavelength here: brainly.com/question/16396485
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