You have to make a cos graph that starts its minimum and of -2, has an amplitude of 10, a period of 10 and a maximum of 18.
I decided to use a cos graph since cos graphs start at their minimum or maximum unlike a sine graph that starts halfway between the minimum and maximum. You also know the amplitude has to be 10 since 18+2=20 and 20/2=10. We were also told that the water wheel completels a rotation every 10 minutes which means the period is 10 minutes.
lets start of with a regular cos(x) graph. This starts on its maximum instead of minimum so we have to multiply it by -1 to get -cos(x) which does start on its minimum.
-cos(x) has an amplitude of 1 instead of 10, to fix that we multiply it by 10 to get -10cos(x) which has an amplitude of 10.
-10cos(x) has a period of 2π instead of 10, to fix this we multiply the x by 2π/10 to get -10cos((π/5)x) which now has a period of 10.
-10cos((π/5)x) has a minimum of -10 and maximum of 10 instead of a minimum of -2 and maximum of 18, to fix this we add 8 to -10cos((π/5)x) to get -10cos((π/5)x)+8 which does have a minimum of -2 and maximum of 18.
Therefore the answer is y=-10cos((π/5)x)+8. x being time in minutes and and y being the height in feet.
I hope this helps. Let me know if anything is unclear.
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:
In math, value is a number signifying the result of a calculation or function. So, in the example above, you could tell your teacher that the value of 5 x 6 is 30 or the value of x + y if x = 6 and y = 3 is 9. Value can also refer to a variable or constant
Step-by-step explanation:
<span><span>
Step 1: Distribute each term of the first polynomial to every term of the
second polynomial. In this case, we need to distribute the 4x and the
–5.
</span>
<span>
<span>Step 2: Combine like terms.</span></span></span>
