Answer:
the function's period
Step-by-step explanation:
A periodic function has the same values in the same sequence for each period of the function. The nail will return to the same orientation after any integer number of full periods of the function.
The difference of the two temperatures is 92. This is because 90-92=-2. I hope this can help you.
Answer:
Least positive integer divisible by the numbers 2, 4, and 7 is 28
Step-by-step explanation:
We can find the least positive integer divisible by the numbers 2, 4, and 7 by taking the LCM
First lets List all prime factors for each number.
Prime Factorization of 2
2 is prime => ![2^1](https://tex.z-dn.net/?f=2%5E1)
Prime Factorization of 4 is:
2 x 2 => ![2^2](https://tex.z-dn.net/?f=2%5E2)
Prime Factorization of 7 is:
7 is prime => ![7^1](https://tex.z-dn.net/?f=7%5E1)
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 7
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 7 = 28
Answer:
see below
Step-by-step explanation:
8 can be factored from each of the terms of the sum. (It's the distributive property.)
8·0 + 8·1 + 8·2 + ... + 8·26 + 8·27
= 8·(0 +1 +2 + ... +26 +27)
Given:
Base of the pyramid = 16 inches
Height of the base (h) = 20 inches
Height of the pyramid (H) = 15 inches
To find:
The volume of the triangular pyramid.
Solution:
Area of the base (B) = ![\frac{1}{2}bh](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dbh)
![$=\frac{1}{2}\times 16 \times 20](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%2016%20%5Ctimes%2020)
Area of the base (B) = 160 in²
<u>Volume of triangular pyramid:</u>
![$V=\frac{1}{3} BH](https://tex.z-dn.net/?f=%24V%3D%5Cfrac%7B1%7D%7B3%7D%20BH)
where B is base area and h is the height of the pyramid.
![$V=\frac{1}{3} \times 160\times 15](https://tex.z-dn.net/?f=%24V%3D%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20160%5Ctimes%2015)
in³
The volume of the triangular pyramid is 800 cubic inches.