Answer:
Find out the what is the eighth term in the arithmetic sequence defined by the explicit formula.
To prove
As given the explicit formula for the arithmetic sequence .
Put n = 8
Therefore the eighth term in the arithmetic sequence is 23 .
Answer: There are 3 even numbers on the cube. There are 2 sides to a coin. there is a 1/2 chance of the cube landing on an even number. There is a 1/2 chance of the coin landing on tails.
There is a 1/4 chance of these events occurring together.
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
Answer:
-41
Step-by-step explanation:
you put 3 in place of x. So where x is you put 3. Then simplify. Let me know if you need further explanation
The answer is 22 because in order to divide fractions (in this case we would have 11 as a fraction), you need to multiply one fraction by the reciprocal of the other fraction (the flipped form of a fraction).
To find this, we would do 
* 
.
This would come to be 
, and when simplified by dividing the numerator and denominator by 9, you get 22.
