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3 years ago

WORTH 30 : can you please help me with my homework questions 14-18

Mathematics

1 answer:

goldenfox [79]3 years ago

3 0

If this helps you please make it brainliest.

14. She has 12 possible choices.

15. $96

16. I don’t know about this one, sorry.

I7. 4/7

18. 1/3

Hope this helps!

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Seven cereal bars are shared equally by 3 students. How many does each student receive?I really need help and my teacher won't h

Katarina [22]

Answer:

Each student gets 2 1/3

Step-by-step explanation:

So you would divide 7 by 3, which you can't...so 6 divided by 3 is 2, and when you split the last one into thirds you can each have 1/3. Add the sections together, and each person gets 2 1/3

7 0

2 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

How many times does the graph of 4x = 32 - x2 cross the x-axis?

garik1379 [7]

Answer:

The graph crosses the x-axis 2 times

The solutions are x = -8 & x = 4

Step-by-step explanation:

Qaudratics are in the form $ax^2 + bx+ c$

Where a, b, c are constants

Now, let's arrange this equation in this form:

$4x=32-x^2\\x^2+4x-32=0$

Where

a = 1

b = 4

c = -32

We need to know the discriminant to know nature of roots. The discriminant is:

$D=b^2-4ac$

D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
D > 0, we have 2 distinct roots/solutions and both cut the x-axis
D < 0, we have imaginary roots and it never cuts the x-axis

Let's find value of Discriminant:

$D=b^2-4ac\\D=(4)^2 -4(1)(-32)\\D=144$