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3 years ago

Write 931 x 10-5 in standard notation.

Mathematics

2 answers:

Stella [2.4K]3 years ago

8 0

Answer:

0.000093

Step-by-step explanation:

Whitepunk [10]3 years ago

6 0

Answer:

0.000093

Step-by-step explanation:

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Factor completely 3x3 + 12x2 + 18x.

Sedbober [7]

Step-by-step explanation:

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4 years ago

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Solve each equation using the quadratic formula. Find the exact solution, then approximate the solution to the nearest hundredth

Mariana [72]

Answer:

$n_1=2.72\\n_2=0.61$

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have that the quadratic formula is:

$x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}$

2. To solve the quadratic equation you must substitute the values. So, you have that:

$a=3\\b=-10\\c=5$

Then you have:

$x=\frac{-(-10)+/-\sqrt{(-10)^{2}-4(3)(5)}}{2(3)}$

3. Therefore, you obtain the following result:

$x_1=2.72\\x_2=0.61$

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3 years ago

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Find the exact value. sin135°

Soloha48 [4]

Answer:

$\frac{1}{\sqrt{2} }$

Step-by-step explanation:

Note that

sin135° = sin(180 - 135)° = sin45° = $\frac{1}{\sqrt{2} }$ = $\frac{\sqrt{2} }{2}$

7 0

4 years ago

Math question please show work for brainliest :)

Aleks04 [339]

It’s 1 I think!

Hope I helped!!! :) :D

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4 years ago

If X²⁰¹³ + 1/X²⁰¹³ = 2, then find the value of X²⁰²² + 1/X²⁰²² = ?

enyata [817]

Step-by-step explanation:

$\bf➤ \underline{Given-} \\$

$\sf{x^{2013} + \frac{1}{x^{2013}} = 2}\\$

$\bf➤ \underline{To\: find-} \\$

$\sf {the\: value \: of \: x^{2022} + \frac{1}{x^{2022}}= ?}\\$

$\bf ➤\underline{Solution-} \\$

Let us assume that:

$\rm: \longmapsto u = {x}^{2013}$

Therefore, the equation becomes:

$\rm: \longmapsto u + \dfrac{1}{u} = 2$

$\rm: \longmapsto \dfrac{ {u}^{2} + 1}{u} = 2$

$\rm: \longmapsto{u}^{2} + 1 = 2u$

$\rm: \longmapsto{u}^{2} - 2u + 1 =0$

$\rm: \longmapsto {(u - 1)}^{2} =0$

$\rm: \longmapsto u = 1$

Now substitute the value of u. We get:

$\rm: \longmapsto {x}^{2013} = 1$

$\rm: \longmapsto x = 1$

Therefore:

$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 1 + 1$

$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 2$

★ Which is our required answer.

$\textsf{\large{\underline{More To Know}:}}$

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)³ = a³ + 3ab(a + b) + b³

(a - b)³ = a³ - 3ab(a - b) - b³

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

(x + a)(x + b) = x² + (a + b)x + ab

(x + a)(x - b) = x² + (a - b)x - ab

(x - a)(x + b) = x² - (a - b)x - ab

(x - a)(x - b) = x² - (a + b)x + ab

6 0

3 years ago