Answer:
The closest measurement to the volume of hat is 84.82 in.³.
Step-by-step explanation:
Given:
The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.
Now, to find the volume of cone:
Putting the formula 
.
Radius(r) is not given, finding the radius:
Radius(r)=half of the diameter(d)
.
Then,
=
=
(
)
=
=
=
in.³
So, the volume is 84.78 in.³ .
Therefore, the closest measurement to the volume of hat is 84.82 in.³.
Given:
The equation is:
To find:
The value of n in terms of x.
Solution:
We have,
It can be written as
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
On comparing the exponents, we get
Add 1 on both sides.
Divide both sides by 2.
Therefore, the value of n is terms of x is 
.
Answer:
C. 7.8
Step-by-step explanation:
This problem involves the use of a trigonometric ratio. This one specifically involves the use of cosine as it provides the leg adjacent to the angle and the hypotenuse.
cos(40) = 6/x
cos(40)*x=6/x*x
cos(40)*x=6
cos(40)/cos(40)*x=6/cos(40)
x=6/cos(40)
x=7.83
The value of x is C. 7.8
Answer:
Step-by-step explanation:
Given that a company fixed costs are 400 dollars
and variable cost = 
per unit and x the no of units produced
Selling price = 
per unit
a) Break even units
At break even units selling price = variable cost
Break even units = 76
b) Revenue = Sales - total costs
= 
Use derivative test to get max revenue
R'(x) = 
R"(X) <0
So maximum when I derivative =0 or when
x=38
c) price when x =38 is
Answer:
1. -8,
2. 58
3. 0
4.
5. -14/8 or -1.75
Explanation:
1. You just plug in 8 for x into the g(x) equation
So, -(8)^2+7(8)= -8
2. You do the same thing you did for number one.
Plug in 13 for the h(x) equation
|2-4(13)|= 50
Then plug in -1 for the f(x) equation
-(-1)^2+7(-1)= -8
You then do as it says- subtract h(x) from f(x)
Which is 50-(-8) and you get 58.
(That subtraction sign turns into addition/ 2 negatives make a positive)
3. Same thing again.
Plug in what they gave you (3y-1) for X
8(3y-1)-9
You get 24y-17
You then subtract off the -17 and get 24y=17
Divide the 24 off and get y=17/24
Plug the Y back into the equation
8(3(17/24)-1)-9 and you get 0
*Im not a hundred percent sure I did this one right*
4. This is the same as number 3. Didn’t have time to solve this, but it’s the same steps as number 3 :)
5. This time they didn’t give you x so you set it up differently
Now you set the f(x) equation equal to -23
8x-9=-23
Add off the to the 23 to isolate the variable
8x= -14
Divide off the 8
X= -14/8 or -1.75
