Answer: <em>3. The correct option is: A) 3.57 decibels.</em>
<em>6. The correct option is: B) 
</em>
Step-by-step explanation:
3. Sound intensity is cut to 44% of its original level. That means, if the original sound intensity was 100, then now sound intensity will be 44.
So, 
and 
Using the formula 
, we will get.....
<em>(Rounded to the nearest hundredth)</em>
So, the loudness would be reduced by 3.57 decibels.
6. Given expression is: 
First applying the property 
, we will get.....
Now using the formula, 
, we will get....
Thus, the answer as a single natural logarithm is
Answer: 22%, 0.22, 11/50
Step-by-step explanation:
As a percent, 44/200 × 100 =
0.22 × 100
= 22%
As a decimal, divide 44 by 200 using a calculator; 44÷200 = 0.22
As a fraction in the simplest form, 44/200, we find the greatest common factor for the numerator and denominator, which is 4, divide 4 by numerator = 11
Divide 4 by denominator = 50
44/200 as a fraction = 11/50
Answer:
07:45 or 7:45
Step-by-step explanation:
On a clock, the shorter hand shows the hour of the day, while the longer hand shows the minute. The clock is divided into 12 hours and 60 minutes. In this case, the shorter hand is between 7 and 8, and the minute hand is right at 45, meaning that the time is 07:45. Hope this helps!
complette the square to get vertex form or y=a(x-h)^2+k
(h,k) is vertex
1. group x terms, so for y=ax^2+bx+c, do y=(ax^2+bx)+c
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2, factor out the leading coefinet (constant in front of the x^2 term), basicallly factor out a
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3. take 1/2 of the linear coefient (number in
front of the x), and square it ,then add negative and positive of it
inside parnthases
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4. complete the squre and expand
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so
y=-1/4x^2+4x-19
group
y=(-1/4x^2+4x)-19
undistribute -1/4
y=-1/4(x^2-16x)-19
take 1/2 of -16 and squer it to get 64 then add neg and pos inside
y=-1/4(x^2-16x+64-64)-19
factorperfect square
y=-1/4((x-8)^2-64)-19
expand
y=-1/4(x-8)^2+16-19
y=-1/4(x-8)^2-3
vertex is (8,-3)
D. There is a 5/8 chance each time. You would multiply that together to get the answer seen in D.
