Answer:
C ) 10/m⁵
Step-by-step explanation:
In this question, we have to find the product of two terms
First term = 5 m⁻²
Second term = 2 m⁻³
Product of both terms = (5 m⁻²) · (2 m⁻³)
The simple way of calculating product of these two term which involves constants as well as variable is that we multiply the constants together:
5·2 = 10
And we multiply the variables. According to the rules of multiplication, when 2 same constants or variables are multiplied, we can just add their powers to get the result.
(m⁻²) · (m⁻³) = m⁻²⁻³ = m⁻⁵
The product of both terms can be written as:
(product of constants)(product of variables) = (10)(m⁻⁵) = 10/m⁵
So the correct option is C
Answer:
W = 4
Step-by-step explanation:
4/6 = 6/9
2/3 = 2/3
Answer:
5.099
Step by step explanations:
Input Data :
Point 1(xA,yA)(xA,yA) = (4, 3)
Point 2(xB,yB)(xB,yB) = (3, -2)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(3−4)2+(−2−3)2(3-4)2+(-2-3)2
= √(−1)2+(−5)2(-1)2+(-5)2
= √1+251+25
= √2626 = 5.099
Distance between points (4, 3) and (3, -2) is 5.099
Answer:
(x - 15)(x + 3)
Step-by-step explanation:
Factors of 45 include 5 and 9, 3 and 15, 1 and 45, and so on.
Note that 3*15 =+45; this is not what we wanted. Thus, try (-3)*15 = -45.
Do -3 and 15 combine to yield -12? No. Thus drop (-3)(15) and try (3)(-15).
Do 3 and -15 combine to yield -12? YES
Therefore, the factored form of x² - 12x - 45 is (x - 15)(x + 3).
Answer:
A. 1
Step-by-step explanation:
The relative frequency is calculated by dividing the frequency of respective class to the total frequency. i.e R.f=f/∑f.
Hence, the relative frequencies can never be add up to total number of observations because it is computed from taking the proportion of frequency and total number of observation. The relative frequencies thus add up to 1.
For example we are given the frequencies for 3 classes as 6,4,2 and computed relative frequencies of these 3 classes are 6/12, 4/12 and 2/12.
Now adding these three relative frequencies 6/12+4/12+2/12=6+4+2/12=12/12=1.
Thus, the relative frequencies add up to 1.
