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2 years ago

The number 5 is a prime b composite...

Mathematics

1 answer:

BaLLatris [955]2 years ago

6 0

The number 5 has no factors except '1' and itself. That's the definition of a prime number.

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Solve the equation<br> 3(y - 4) + 3 = 9.<br> Answer y =

erica [24]

Answer:

3(y-4) + 3 = 9

3y -12 +3=9

3y -9 = 9

3y = 9+9

3y=18

y=18÷3

∴y=6

Step-by-step explanation:

5 0

2 years ago

You’ve joined the CSCI Data Science team, and now you’re in charge of how to distribute projects for students to work on in team

baherus [9]

Answer:

a)How many different ways can you allocate the 22 students to the projects? =2300

b) how many different ways can you allocate the 22 students to the projects= 286

Step-by-step explanation:

check attachment for detail explanations

3 0

2 years ago

I can't figure out how to do (i + j) x (i x j)for vector calc

Vinil7 [7]

In three dimensions, the cross product of two vectors is defined as shown below

$\begin{gathered} \vec{A}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \\ \vec{B}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k} \\ \Rightarrow\vec{A}\times\vec{B}=\det (\begin{bmatrix}{\hat{i}} & {\hat{j}} & {\hat{k}} \\ {a_1} & {a_2} & {a_3} \\ {b_1} & {b_2} & {b_3}\end{bmatrix}) \end{gathered}$

Then, solving the determinant

$\Rightarrow\vec{A}\times\vec{B}=(a_2b_3-b_2a_3)\hat{i}+(b_1a_3+a_1b_3)\hat{j}+(a_1b_2-b_1a_2)\hat{k}$

In our case,

$\begin{gathered} (\hat{i}+\hat{j})=1\hat{i}+1\hat{j}+0\hat{k} \\ \text{and} \\ (\hat{i}\times\hat{j})=(1,0,0)\times(0,1,0)=(0)\hat{i}+(0)\hat{j}+(1-0)\hat{k}=\hat{k} \\ \Rightarrow(\hat{i}\times\hat{j})=\hat{k} \end{gathered}$

Where we used the formula for AxB to calculate ixj.

Finally,

$\begin{gathered} (\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=(1,1,0)\times(0,0,1) \\ =(1\cdot1-0\cdot0)\hat{i}+(0\cdot0-1\cdot1)\hat{j}+(1\cdot0-0\cdot1)\hat{k} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=1\hat{i}-1\hat{j} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=\hat{i}-\hat{j} \end{gathered}$

Thus, (i+j)x(ixj)=i-j

8 0

7 months ago

Can you help me with #6???

AnnZ [28]

What are you asking?

6 0

3 years ago

Read 2 more answers

The length of a rectangle is four times its width.

mixer [17]

Let width be x