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sashaice [31]
3 years ago
9

What is the LCM OF 4, 8 and 16

Mathematics
2 answers:
sleet_krkn [62]3 years ago
8 0
I think the answer is 2
shutvik [7]3 years ago
4 0

Answer:

16

Step-by-step explanation:

Write the multiples of each number

4:  4,8,12,16

8: 8,16,24,32

16: 16,21,48

The smallest one that is in all three is 16

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How would you solve 7x + 2(x+5) < 3x-14
Daniel [21]
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
5 0
3 years ago
Find a vector of magnitude 3 in the direction of v = 10i - 24k. The vector is Oi-Oj+k (Simplify your answer. Use integers or fra
Soloha48 [4]

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 :

\^{v}=\dfrac{v}{|v|}\\\\\^{v}=\dfrac{10i-24k}{\sqrt{10^2+24^2}}\\\\\^{v}=\dfrac{10i-24k}{26}

Now , vector of magnitude 3 in direction v is :

r=3 \^{v}\\\\r=3\times \dfrac{ (10i-24k)}{26}\\\\r=\dfrac{3}{13} (5i-12k)

Hence , this is the required solution .

6 0
3 years ago
Suppose that the demand Q^Dand supply Q^Sfor maize meal in Kimberley is given by p=120-0.7Q^Dand p=3+0.2Q^S where the quantity i
bixtya [17]

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.

8 0
3 years ago
Question - Find each f(c) using synthetic substitution. f(x) =5x 5 + 10x 4 + 3x 3 + 8x 2 – 6x – 3; c = 3
SpyIntel [72]

Answer:

2157

Step-by-step explanation:

The given function is

f(x)=5x^5+10x^4+3x^3+8x^2-6x-3

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

7 0
3 years ago
In a school survey, three homerooms are chosen and 10 students from each homeroom are randomly chosen to complete the survey. Id
lesya [120]

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!!!

6 0
3 years ago
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