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Murrr4er [49]
3 years ago
8

I have a super hard question and i need help what is

le="5^{2}" alt="5^{2}" align="absmiddle" class="latex-formula"> equal to?
Mathematics
2 answers:
Nastasia [14]3 years ago
7 0

Answer:

5^{2} = 25 :) hope this helps

Step-by-step explanation:

Dmitry_Shevchenko [17]3 years ago
5 0
You multiply 5 two times so it’s 5 x 5= 25
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compute the projection of → a onto → b and the vector component of → a orthogonal to → b . give exact answers.
Nina [5.8K]

\text { Saclar projection } \frac{1}{\sqrt{3}} \text { and Vector projection } \frac{1}{3}(\hat{i}+\hat{j}+\hat{k})

We have been given two vectors $\vec{a}$ and $\vec{b}$, we are to find out the scalar and vector projection of $\vec{b}$ onto $\vec{a}$

we have $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$

The scalar projection of$\vec{b}$onto $\vec{a}$means the magnitude of the resolved component of $\vec{b}$ the direction of $\vec{a}$ and is given by

The scalar projection of $\vec{b}$onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|}$

$$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\sqrt{1^2+1^1+1^2}} \\&=\frac{1^2-1^2+1^2}{\sqrt{3}}=\frac{1}{\sqrt{3}}\end{aligned}$$

The Vector projection of $\vec{b}$ onto $\vec{a}$ means the resolved component of $\vec{b}$ in the direction of $\vec{a}$ and is given by

The vector projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|^2} \cdot(\hat{i}+\hat{j}+\hat{k})$

$$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\left(\sqrt{1^2+1^1+1^2}\right)^2} \cdot(\hat{i}+\hat{j}+\hat{k}) \\&=\frac{1^2-1^2+1^2}{3} \cdot(\hat{i}+\hat{j}+\hat{k})=\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\end{aligned}$$

To learn more about scalar and vector projection visit:brainly.com/question/21925479

#SPJ4

3 0
1 year ago
At the local store, the cost of 1 pair of jeans is $24 and the cost of 3 pairs is $24 × 3 = $72. At the online store, the cost o
Juli2301 [7.4K]

Complete question :

Complete the tables to relate the numbers of pairs of jeans to the cost of the jeans at each store. Assume that Tim is placing a single order, and

ignore any taxes.

Answer:

$24, $72

$50

Step-by-step explanation:

From the table :

At local store :

2 pair of jeans cost $48

Cost of a pair :

Cost of 2 pairs / number of pairs

$48 / 2 = $24

Cost of 3 pairs :

Cost per pair * number of pairs :

$24 * 3 = $72

At online store :

Cost of Jean include a fixed fee of $6

Cost of one pair of Jean = $28

Actual cost of Jean :

$28 - $6 = $22

Hence, cost of 2 pair of jeans:

($22*2) + $6

$44 + $6 = $50

6 0
2 years ago
15% of the seats on an airplane are first class if there are 24 class seats how many seats are on the plane ​
Andrej [43]

Answer:

160

Step-by-step explanation:

there are 24 first class seats. 15% of the total number is 24. that would mean 5% of the total number is 8. 20 times 8 is 160.

6 0
2 years ago
What’s the square root of 13 to the nearest integer
Marianna [84]

Answer:

4

Step-by-step explanation:

First off, integers are Whole Numbers (1,2,3,4, etc), so we are rounding the answer to the nearest whole number.

The square root of lets just say 25 means you are finding a number that multiplied by itself will equal 25 (the answer is 5).

Now for 13, there is no perfect square, however the closest whole number that multiplied by itself to 13 is 4.

4*4= 16

3*3=9

5*5=25

As you can see above 4 is the closest number to 13.

Now, the ACTUAL value of the square root of 13 is 3.60555128, but we are rounding up to the nearest whole number which is 4 :)

4 0
3 years ago
4a 5(a-3)=2 3a what is the answer
alexdok [17]
4a + 5a - 15 = 2 + 3a
6a = 17
a = 17/6
4 0
2 years ago
Read 2 more answers
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