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Svetach [21]
3 years ago
14

What fraction of the pages did you read?

Mathematics
1 answer:
AleksAgata [21]3 years ago
7 0
10 1/2 = 21/2

(21/2)  / 3
= 21/2 x 1/3
= 21/6
= 3 1/2

answer
3 1/2 pages
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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
1 year ago
In a recent year, 33.6% of all registered doctors were female. If there were 44,500 female registered doctors that year, what wa
Ronch [10]

Answer:

132,440

Step-by-step explanation:

In order to find out the total number of doctors, we must divide 44,500 by 33.6%. This will give you the total number of doctors from this specific data set.  

6 0
3 years ago
What is the probability of choosing a heart or a spade from a deck of cards? Type your answer as a fraction.
labwork [276]

Answer:

26/52 or 1/2

Step-by-step explanation:

There are 13 cards per suit therefore there must be 26

3 0
3 years ago
Read 2 more answers
The local office supply store charges $0.08 per page to make photocopies. Lionel paid $20.00 for a set of copies. How many pages
Ivanshal [37]
Lionel had 250 pages copied

This is because 20/.08=250.
8 0
3 years ago
Read 2 more answers
Solve A plumber gave an estimate for the renovation of a kitchen. His hourly pay is S28 per hour and the plumbing parts will cos
Vika [28.1K]
He plans to work 14 hours.

Here's the equation:

490-98= 392
392 divided by 28= 14 hours
5 0
3 years ago
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