Answer:
The radius of convergence is half of the length of the interval of convergence. If the radius of convergence is R then the interval of convergence will include the open interval: (a − R, a + R). To find the radius of convergence, R, you use the Ratio Test.
Answer:
39°
Step-by-step explanation:
A radius of a circle (segment CD) drawn to the point of tangency (D) intersects the tangent (line DE) at a 90-deg angle.
That makes m<D = 90.
m<D + m<C + m<E = 180
90 + 51 + m<E = 180
m<E = 39
You have sqrt(8), sqrt(18), and sqrt(2).
You need to simplify the radicals.
sqrt(2) is already simplified.
For both sqrt(8) and sqrt(18), you need to factor out the greatest perfect square.
8 = 4 * 2
You can take the square root of 4 and put it outside the root.
18 = 9 * 2
You can take the square root of 9 and put it outside the root.




Find the prices per ounce by dividing the dollars by the number of ounces:-
1.79 / 15 = 0.1193 dollars per ounce
1.49 / 12 = 0.1242 dollars per ounce
So the first one is the better buy.
Answer: 6 cups of ketchup per cup of mustard
Step-by-step explanation:
Given : The recipe calls for 3 cups of ketchup for every
cup of mustard.
That means , for
cup of mustard. we need 3 cups of ketchup.
By using proportions, if we multiply 2 on both sides ,we get
for
cup of mustard. we need
cups of ketchup.
⇒ for
cup of mustard. we need
cups of ketchup.
Hence, the required rate = 6 cups of ketchup per cup of mustard