So first you want to start in the parentheses
x+5
so what you do is 2 times x which is 2x
2 times 5 which is ten
7x+10x <3x-14
-10× - 10x
-3x
Given :
A vector v = 10i - 24k.
To Find :
A vector of magnitude 3 in the direction of v = 10i - 24k.
Solution :
Unit vector in the direction of vector v is :

Now , vector of magnitude 3 in direction v is :

Hence , this is the required solution .
Answer:
20 rands/kg
130,000 kg
Step-by-step explanation:
The equilibrium quantity and price are the solution to the system of equations ...
p = 120 -0.7q
p = 3 + 0.2q
Setting these equal, we get ...
0.2q +3 = p = -0.7q +120
0.9q = 117 . . . . . . . add 0.7q-3 to both sides
q = 117/0.9 = 130
p = 3 +0.2·130 = 29
The equilibrium price of maize meal is 29 rands per kg; the market equilibrium quantity is 130,000 kg.
Answer:
2157
Step-by-step explanation:
The given function is

We want to find f(c) when c=3.
This means the remainder when f(x) is divided by x-3
We perform the synthetic division:
5 10 3 8 -6 -3
<u>3| 15 75 234 726 2160</u>
5 25 78 242 720 2157
Therefore the remainder is 2157
You are right
Answer:
This sampling method used in this question is the stratified sampling method.
Step-by-step explanation:
There are about 5 known sampling methods.
- Random Sampling
In random sampling, each member of the population has an equal chance of being surveyed. All the students are given a number and random numbers are generated to pick the students to be surveyed.
- Systematic sampling
This is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth student is picked to be sampled.
- Convenience Sampling
This is the worst sampling technique. It is also the easiest. In Convenience sampling, the surveyor just surveys the first set of students that they find.
- Cluster sampling
Cluster Sampling divides the population into groups which are called clusters or blocks. The clusters are selected randomly, and every element in the selected clusters is surveyed.
- Stratified Sampling
Stratified sampling divides the population into groups called strata. A sample is taken from all or some of these strata using either random, systematic, or convenience sampling. This is evidently the answer to the question as the students are divided into homerooms (strata) and samples are now randomly taken from 3 randomly selected strata.
Hope this Helps!!!