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3 years ago

2 x 10^5 standard notation

Mathematics

2 answers:

Delicious77 [7]3 years ago

7 0

Answer:

200,000

Step-by-step explanation:

Following the mathematic PEMDAS rule (Parentheses, Exponents, Multiplication, Division, Subtraction) a rule where it gives the order in an algebraic expression/equation shall be completed. in this case, exponents first which equals 100,000 and that times 2 is doubled to 200,000.

Reil [10]3 years ago

3 0

Answer:

2x100000

Step-by-step explanation:

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Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?

mixer [17]

Given:

$|u|=10$ at an angle of 45°.

$|v|=13$ at an angle of 150°.

$w=u+v$

To find:

Magnitude and direction angle of w.

Solution:

We have,

$w=u+v$

$\theta = 45^\circ, \phi = 150^\circ$

Now,

$u_x=|u|\cos \theta=10\cos 45^\circ=7.071$

$u_y=|u|\sin \theta=u_y=10\sin 45^\circ=7.071$

$v_x=|v|\cos \phi=13\cos 150^\circ=-11.25833$

$v_y=|v|\sin \phi=u_y=13\sin 150^\circ=6.5$

Using these information, we get

$R_x=u_x+v_x=7.071-11.25833=-4.18733$

$R_y=u_y+v_y=7.071+6.5=13.571$

$\text{Direction angle}=\tan^{-1}(\dfrac{R_y}{R_x})$

$\text{Direction angle}=\tan^{-1}(\dfrac{13.571}{-4.18733})$

$\text{Direction angle}=-72.8239$

$\text{Direction angle}=107.1476$

$\text{Direction angle}\approx 107.1$

Now,

$|w|=\sqrt{(|u|\cos \theta +|v|\cos \phi)^2+(|u|\sin \theta +|v|\sin \phi)^2}$

$|w|=\sqrt{(10\cos(45)+13\cos 150)^2+(10\sin(45)+13\sin 150)^2}$

$|w|=\sqrt{(10(\dfrac{1}{\sqrt{2}})+13(-\dfrac{\sqrt{3}}{2}))^2+(10(\dfrac{1}{\sqrt{2}})+13(\dfrac{1}{2}))^2}$

$|w|=14.20236$

$|w|\approx 14.20236$

Therefore, the correct option is D.

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3 years ago

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Identify the shape of the distribution, and (b) determine the five-number summary. Assume that each number in the five-numbe

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1. The shape of the distribution is: B. skewed left.

2. he five-number summary is: 0, 14, 17, 18, 20.

<h3>What is Left-skewed Distribution?</h3>

If the data distribution that is represented by a box plot is left-skew (negatively skewed), the median will appear closer to the third quartile (Q3) of the box plot. The median is at the point where a vertical line divides the box into two.

Part 1: The box plot shows that the median is close to the third quartile, therefore, the shape of the distribution is described as: B. skewed left.

Part 2: The five-number summary include:

Min. value = 0

Q1 = 14

Median = 17

Q3 = 18

Max. value = 20.

Learn more about left-skewed distribution on:

brainly.com/question/15759915

#SPJ1

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