That literally means the numbers '5' and '12' written like this: 5 + 12
represent the sum of 5 and 12, which is the same as 5 + 12 (because the sum is when all the numbers are added up).
So it's saying 5 + 12 equals to 17.
Do you get it?
Answer:
The second one
Step-by-step explanation:
A linear function will always increase or decrease by the same amount:
The first one adds eight for every increase of 1 in the x value
The third one subtracts three for every increase of 1 in the x value
However,
The second one starts by adding three, and then adds 1.5 for the rest
The second table is nonlinear
Answer:
7680πyd³
Step-by-step explanation:
The formula to calculate the volume of the cylinder is πr² h
Here radius (r) = 16 yd
height (h) = 30 yd
Now
the volume is
= πr²h
= 16² * 30 * π
= 7680 π yd³
Hope it will help :)❤
Answer:
6 units long.
Step-by-step explanation:
Given:
A polygon drawn on a graph.
In order to determine the distance of the horizontal line at the top, we find the coordinates of the end points and then use distance formula to find the exact distance.
Let us label the polygon as ABCD as shown below. AB is the length of the horizontal line.
Coordinates of A are
as seen in the graph.
Coordinates of B are
as seen in the graph.
Now, distance formula for two points
is:

Therefore, the horizontal line at the top is 6 units long.
Split up the interval [2, 5] into

equally spaced subintervals, then consider the value of

at the right endpoint of each subinterval.
The length of the interval is

, so the length of each subinterval would be

. This means the first rectangle's height would be taken to be

when

, so that the height is

, and its base would have length

. So the area under

over the first subinterval is

.
Continuing in this fashion, the area under

over the

th subinterval is approximated by

, and so the Riemann approximation to the definite integral is

and its value is given exactly by taking

. So the answer is D (and the value of the integral is exactly 39).