<u>Answer-</u>
<em>A. Brandon’s sound intensity level is 1/4th as compared to Ahmad’s.</em>
<u>Solution-</u>
Given that, loudness measured in dB is
Where,
I = Sound intensity,
I₀ = 10⁻¹² and is the least intense sound a human ear can hear
Given in the question,
I₁ = Intensity at Brandon's = 10⁻¹⁰
I₂ = Intensity at Ahmad's = 10⁻⁴
Then,
Answer: 500 votes
Step-by-step explanation:
This can be shown by this formula.
300 is 60% of x. So if u can find the 100% by taking 300 and multiplying it by 100 which would be the 100% and dividing it by 60 which would be the 60%. The number that you get is how many didn't vote for Denise. Now just add these which would be 300+200 which would give you the answer above.
Answer:
acorns
Step-by-step explanation:
20x=9y
9/20 to 5/9
5/9 of the acorns collected are from Hannah
9/20 of the conkers collected are from Hannah
5/9 is larger than 9/20
Hannah collected more acorns
Let speed of the boat in still water = x miles per hour
Let speed of the current = y miles per hour
When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)
now plug the given values in formula speed=distance/time
we get equation:
(x+y)=160/8
or x+y=20...(i)
When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)
now plug the given values in formula speed=distance/time
we get equation:
(x-y)=160/40
or x-y=4
or x=4+y...(ii)
plug value of x into (i)
4+y+y=20
4+2y=20
2y=16
y=8
plug value of y into (ii)
x=4+8=12
Hence final answer is given by:
Speed of the boat in still water = 12 miles per hour
Speed of the current = 8 miles per hour
Answer: Choice A) 12x^2 - 48x + 21; all real numbers
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Work Shown:
(f * g)(x) = f(x) * g(x)
(f * g)(x) = ( f(x) ) * ( g(x) )
(f * g)(x) = ( -2x+7 ) * ( -6x+3 )
(f * g)(x) = -2x*( -6x+3 ) + 7*( -6x+3 )
(f * g)(x) = -2x*(-6x) - 2x*(3) + 7*(-6x) + 7*(3)
(f * g)(x) = 12x^2 - 6x - 42x + 21
(f * g)(x) = 12x^2 - 48x + 21
The domain is the set of all real numbers because we can plug in any number in for x, to get some output for y. There are no issues to worry about such as division by zero errors, square root of a negative number, etc.
