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3 years ago

Original: $458 Discount: New: $137.40

Mathematics

1 answer:

Vanyuwa [196]3 years ago

8 0

Answer:

Your answer would be 30% discount

Step-by-step explanation:

137.40 / 458 = .3

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NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! THIS IS NOT A TEST OR AN ASSESSMENT!! Please help me with these math questions

Art [367]

Answer:

See below

Step-by-step explanation:

3. What are two ways that a vector can be represented?

Considering a vector $\vec{v}$ in some vector space $\mathbb R^n$ we have

$\vec{v} = \langle a,b\rangle$

This is the component form. I don't like that way. It is probably used in high school, but

$\vec{v} = \begin{pmatrix} a\\ b\\ \end{pmatrix}$

is preferable because the inner product on $\mathbb R^n$ is defined to be

$\langle a,b\rangle := \sum_{i = 1}^n a_i b_i$

You can also write it using linear form such as $\vec{v} = 2i+2j$

For this question, I think you meant

vectors

$\vec{u_1} = (-8, 12)$

$\vec{u_2} = (13, 15)$

Once

$\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}$

Considering that the dot product is

$\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76$

and the norm of $\vec{u_1}$ is $||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}$

and the norm of $\vec{u_2}$ is $||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}$

Thus,

$\cos(\theta)=\dfrac{76}{\sqrt{208} \sqrt{394}} = \dfrac{19}{\sqrt{13}\sqrt{394}}=\dfrac{19}{\sqrt{5122}}$

$\therefore \theta = \arccos \left(\dfrac{19}{\sqrt{5122}} \right)$

3 0

2 years ago

Question~

Rasek [7]

Answer:

B. 1

Step-by-step explanation:

Multiply the first term by $x^a$ , the second term by $x^b$ , the third term by $x^c$ .

The first term becomes:

$x^a/(x^a+x^b+x^c)$

The second term becomes:

$x^b/(x^a+x^b+x^c)$

The third term becomes:

$x^c/(x^a+x^b+x^c)$

Their sum is:

$(x^a+x^b+x^c)/(x^a+x^b+x^c) = 1$

Correct choice is B

3 0

2 years ago

A force does 35000J of work along a distance of 10.5m. Find the applied force.

nadezda [96]

Answer: 3333.333 N

Work: To figure it out, you must do 35000J divided by 10.5. After diving, you receive the answer 3333.333N. I hope this helps you!

3 0

2 years ago

s below which does not belong? motivation self confidence positive attitude coordination conscientiousness

Alenkinab [10]

I would say that coordination doesn't belong. The other words seem to do with a person's personality or mentality, while coordination is more of a physical ability.

3 0

2 years ago

Write in scientific notation: 0.0042

mylen [45]

Answer:

Scientific Notation:

4.2 × 10^-3

E-Notation:

4.2e-3

Engineering Notation:

4.2 × 10^-3

Real Number:

0.0042

______________________________

6120

Step-by-step explanation:

8 0

3 years ago