Converges by p series test
top section is almost constant, can never be larger than 3
so, compare degrees of their exponents, in this case it’s at a maximum of 3/1000n^2. the same as saying (3/1000)*summation of p series.
converges absolutely.
Answer:......................................................
Step-by-step explanation:
Answer:
Step-by-step explanation:
Whenever we have 2 fractions equal to each other, we first cross multiply, then take variables to one side and numbers to other side and use basic algebra to solve for the variable [here, it is x].
The process is shown below:
So, x = 3/4
Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
Answer:
first one is 30 5 40
35 25 15
10 45 20
second one is 5 26 11
20 14 8
17 2 23
third one is 9 16 11
14 1210
13 8 15
and forth one is 20 70 60
90 50 10
40 30 80
Step-by-step explanation:
which ever direction you know 2 of 3 numbers, you add them and subtract the sum its supposed to add up to. rough explanation