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3 years ago

3g) | Which is the simplified form of the expression 14:

Mathematics

1 answer:

pychu [463]3 years ago

5 0

Answer:Use your order of Operations to solve

- Parentheses

- Exponents

- Multiplication and Division, Left to Right

- Addition and subtraction, Left to Right.

So, the inner most parentheses we have is (42 - 32), which gives us 10:

3[14 ÷ 10 - 5]

Division is of higher precedence than subtraction, so next we determine 14 ÷ 10 and get

3[1.4 - 5]

Subtraction within the brackets is next:

3 [-3.6]

And now, with only a constant inside the brackets, multiply:

3 * [-3.6] = -10.8

Step-by-step explanation:

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The ratio of the number of left handers to the number of right handers in a middle school is 6:15. If there are 120 left handers

Zinaida [17]

Answer:

300

Step-by-step explanation:

there are 9 15's in 120 which means its going by 15's 3 x 5= 15 and if it says 6 that means its timesed by 2. 15 x 2= 30 then 30 x 10= 300

8 0

3 years ago

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

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3 0

1 year ago

Identify an equation in slope-intercept form for the line parallel to y = -3x + 7

melisa1 [442]

Correct Answer is B!!!

4 0

3 years ago

What is greater and what is least 6.00 0.56 0.060 0.60 0.056 0.557781 0.059999

tangare [24]

Answer:

6.00, 0.56,0.557781,0.059999, 0.056

Step-by-step explanation:

Look at the place values

4 0

3 years ago

ABCD is a rectangle. Its diagonals meet at O. Find the value of x if BO = 3x + 4 andOC = x + 8 .Also find the length of its diag

scoundrel [369]

Step-by-step explanation:

the lengths OB, OC & BC together forms a isosceles triangle.

therefore,

OB=OC

3x+4=x+8

2x=4

x=2.

OB = 3x+4= 3.2+4=10cm.

OC= x+8= 2+8=10cm.

therefore, the diagonals are : 20cm each.

hope this helps you.

3 0

2 years ago