Answer: 11/12
Step-by-step explanation: Notice that 7/12 and 1/3 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 12 and 3 will be the least common multiple of 12 and 3 which is 12.
The fraction 7/12 already has a 12 in the denominator so we leave it alone.
To get a 12 in the denominator of 1/3, we multiply both the numerator and the denominator by 4 and we get the equivalent fraction 4/12.
Now we are adding like fractions.
To add like fractions, we simply add across the numerators.
7/12 + 4/12 = 11/12
Therefore, 7/12 + 1/3 = 11/12.
4,950×3=1650
1650÷100=16.5
his commission is $16.5
F(x) = x - 2sinx
To find for what values of x graph has tangents we need to differentiate function f(x).
f'(x) = 1-2cosx
Now, if we want to have horizontal tangents we need to make function f'(x) equal to 0 because at minimum or maximum of function f(x) tangent is horizontal.
1-2cosx = 0
cosx = 1/2
x = pi/3 + 2*n*pi and
x = -pi/3 + 2*n*pi
Explanation: cosx = 1/2 for both 60° and -60°. If we make one circle cosx will be equal to 1/2 for 420 and 300 degrees. Writing degrees in radians (using pi) we can write formulas above where 2*pi represents one full circle and n is an integer which represents how many circles we made.
Complete question is attached;
Answer:
Option D: 0.3069
Step-by-step explanation:
Formula for coefficient of variation on the company's stock is;
CV = σ/E(r)
Where σ is the standard deviation and E(r) is expected value of return.
From the attached image, we can find E(r) as;
E(r) = 0.45(25) + 0.5(15) + 0.05(5)
E(r) = 19%
From online calculation, the standard deviation is 5.83%
Thus;
CV = 5.831/19
CV ≈ 0.3069
<span>You have:
- The diameter of the cylinder is 12 inches and its height is 14 inches.
-The height of the cone is 6 inches.
So, you must apply the formula for calculate the volume of the cylinder a the formula for calculate the volume of a cone.
V1=</span>πr²h
<span>
V1 is the volume of the cylinder.
r is the radius.
h is the height (h=14 inches)
The problem gives you the diameter, but you need the radius, so you have:
r=D/2
r=12 inches/2
r=6 inches
When you substitute the values into the formula, you obtain:
V1==</span>πr²h
V1=(3.14)(6 inches)²(14 inches)
V1=1582.56 inches³<span>
The volume of the cone is:
V2=(</span>πr²h)/3
<span>
V2 is the volume of the cone.
r is the radius (r=6 inches)
h is the height of the cone (h=6 inches).
Then, you have:
</span>
V2=(πr²h)/3
V2=(3.14)(6 inches)²(6 inches)/3
V2=226.08 inches³
<span>
Therefore, </span>the volume of the cake<span> (Vt) is:
Vt=V1+V2
Vt=</span>1582.56 inches³+226.08 inches³
<span> Vt=1808.6 inches</span>³
