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10 months ago

PLEASE HELP ME!!! WILL GIVE YOU A FOLLOW

Mathematics

1 answer:

Dvinal [7]10 months ago

5 0

4/10^2 = 0.04
which is equal to:
4x10^-2
As there are two digits behind the decimal point up to( and including the 4) thus the 10^-2
And as the digit is a 4 you multiply 10^-2 by 4

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What are the roots to<br> the equation<br> 2x² + 6x-1=0?

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Answer:

The roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Step-by-step explanation:

The given quadratic equation is 2 x² + 6 x - 1 = 0

This equation is in form of a x² + b x + c = 0

Let the roots of the equation are ( m , n )

Now , sum of roots = $\frac{ - b}{a}$

And products of roots = $\frac{c}{a}$

So, m + n = $\frac{ - 6}{2}$ = - 3

And m × n = $\frac{ - 1}{2}$

Or, (m - n)² = (m + n)² - 4mn

Or, (m - n)² = (-3)² - 4 ( $\frac{ - 1}{2}$ )

Or, (m - n)² = 9 + 2 = 11

I.e m - n = $\sqrt{11}$

Again m + n = - 3 And m - n = $\sqrt{11}$

Solving this two equation

(m + n) + ( m - n) = - 3 + $\sqrt{11}$

I.e 2 m = - 3 + $\sqrt{11}$

Or, m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$

Similarly n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Hence the roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$ Answer

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Find the mean, median, a<br> 12, 13, 40, 95, 88, 7, 95

yarga [219]

Answer: The mean is 50.42. The Median is 40. The mode is 95

Step-by-step explanation:

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Helpp me with this please!

Dmitry [639]

It’s CED hope this helps

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jaden increased the amount of vegetables she eats each day from 5 servings to 9 servings.by what percentage did jaden increase t

Stolb23 [73]

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Answer : 80%

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3 years ago

An airline runs a commuter flight between Portland, Oregon, and Seattle, Washington, which are 145 miles apart. An increase of 2

pychu [463]

The speed of the airplane is the ratio of the distance to the time

The initial average speed of the airplane is approximately 110.8 mph

Reason:

Given parameters are;

The distance between Portland Oregon and Seattle Washington = 145 miles

The decrease in travel time when the speed is increase by 20 mph = minutes

The initial speed of the airplane, v = Required;

Solution;

$t = \dfrac{145}{v}$

$t - \dfrac{12}{60} = \dfrac{145}{v + 20}$

Therefore;

$\dfrac{145}{v} - \dfrac{12}{60} = \dfrac{145}{v + 20}$

Which gives;

$\dfrac{145}{v + 20} - \dfrac{145}{v} + \dfrac{12}{60} = 0$

Therefore

0.2·v² + 4·v - 2,900 = 0

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Learn more here:

brainly.com/question/11365874

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