Answer: x=-303
Step-by-step explanation:
x+310=7
We move all terms to the left:
x+310-(7)=0
We add all the numbers together, and all the variables
x+303=0
We move all terms containing x to the left, all other terms to the right
x=-303
Answer:
n = 15
Step-by-step explanation:
For inputs of the value of n, the running time for the algorithm A is 100n^2 and that of B is 2^n.
If A is to run faster than B, 100n^2 must be smaller than 2^n.
Let's check from n = 1 to know the value of n that fits
n = 1
100(1)^2 > 2^1
100 > 2
n = 2
100(2)^2 > 2^2
400 > 4
n = 4
100(4)^2 > 2^4
1600 > 16
n = 8
100(8)^2 > 2^8
6400 > 2^8
n = 16
100(16)^2 < 2^16
25600 < 2^16
This implies that between n = 8 and 16, A starts to run faster than B
n = (8+16)/2 = 12
100(12)^2 > 2^12
14400 > 2^12
n = (12+16)/2 = 14
100(14)^2 > 2^14
19600 > 2^14
n = (14+16)/2
n = 15
100(15)^2 < 2^15
22500 < 2^15
At n= 15, A starts running faster than B
Answer:
......
Step-by-step explanation:
Length of diagonal of the rectangle=
√( length) ²+( breadth) ²
=√(20) ²+(12) ²
=√400+144
√544 m
. '. Length of fence= √544 m
Perimeter of the triangle formed by the diagonal of the rectangle =(12+20+√544)
=(32+√544) m
Answer:
A) The sentence introduces readers to the paragraphs main idea.
Step-by-step explanation:
It does not talk about technology, it is not a new idea, and it is not saying anything negative.
Answer:
The answer is absolute value.
Step-by-step explanation:
The distance between a number's place on the number line and is called the number's absolute value.The absolute value of a number is its distance from 0 on a number line
