All categories

2 years ago

Which expression completes the statement to form a true equation?

Mathematics

1 answer:

nikitadnepr [17]2 years ago

7 0

3^3 the answer is the first one with the exponent 3

You might be interested in

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

Which defines the relationship between the number -9 and its additive inverse?

mote1985 [20]

Answer:

D. (-9)+9=0

Step-by-step explanation:

Additive inverse means that the sum of the original number and its Additive inverse must add upto 0. In this case, if we add -9 and 9 then we get 0. That's why D is the correct answer.

6 0

2 years ago

Read 2 more answers

This should be easy but plz explain in the best way thank u

pentagon [3]

Answer:

The answer is 1.

Step-by-step explanation:

9^15 = 205891132094649

205891132094649(1/205891132094649 )

Cancel the common factor of "205891132094649 "

You are left with 1.

3 0

3 years ago

A game room has a floor that is 100 feet by 30 feet. A scale drawing of the floor on grid paper uses a scale of 3 units:5 feet.

Ghella [55]

3 units/ 5 feet = 60 units/ 100 feet
3 units/ 5 feet = 18 units/ 30 feet

The dimensions of the scale drawing are 60 units by 18 units.

Hope this helps!

7 0

2 years ago

The area of a square can be represented by the expression x^10. The side of the square can be written in the form x^n. What is t

Gekata [30.6K]

X^n ×X^n=X^10
X^n+n=X^10
X^2n=X^10
2n=10
n=10÷2
n=5

I hope you understand

5 0

3 years ago