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3 years ago

6

9.45 x 10^-5 In standard form

1 answer:

scoundrel [369]3 years ago

4 0

The answer is : 0.0000945
Hope this helped have a good day!

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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 $\vec{v} = 2i+2j$

4.

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

Arrange the numbers in the ascending order: 3/4,1/12,9/16,7/24

OLEGan [10]

Ascending means going up
First change into decimals
3/4=0.75
1/12=0.083
9/16=0.5625
7/24=0.291666…..

Start from smallest to largest number
0.291666…..,0.5625,0.75,0.083

Find their fractions
7/24,9/16,3/4,1/12

Answer:7/24,9/16,3/4,1/12

4 0

1 year ago

Which number sentence matches the question below?

Aleksandr [31]

The answer would be B. (228-89) because you are trying to find the difference.

5 0

3 years ago

How do you simplify a math problem?

STatiana [176]

idk what kind of math problem but, if its just simple id us PEMDAS

3 0

3 years ago

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What is the output of the function f(p) = 3p – 2 when the input is 2? A. 0 B. 2 C. 4 D. 6 E. 8

bazaltina [42]

Step-by-step explanation:

<u>Step 1: Find f(2)</u>

$f(p) = 3p - 2$

$f(2) = 3(2) - 2$

$f(2) = 6 - 2$

$f(2) = 4$

Answer: Option C, 4

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3 years ago

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