<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bx%7D%20%20-%203%28%20%7B2%7D%28%5E%7Bx%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%

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2 years ago

20%29%29%20%2B%20%20%7B2%7D%5E%7B2%7D%20%20%3D%200" id="TexFormula1" title=" {2}^{x} - 3( {2}(^{x} + \frac{1}{2} )) + {2}^{2} = 0" alt=" {2}^{x} - 3( {2}(^{x} + \frac{1}{2} )) + {2}^{2} = 0" align="absmiddle" class="latex-formula">
Can someone solve this equation?

Mathematics

1 answer:

8_murik_8 [283]2 years ago

4 0

Answer: $\huge\boxed{x=log_2\frac{12\sqrt{2}+4}{17}}$

Step-by-step explanation: $\displaystyle\ \bigg{2^x-3(2^{x+\frac{1}{2} }})+2^2=0 \qquad ; \ \ \boxed{t=2^x} \\\\t-3t\sqrt{2} +4=0 \\\\ t(1-3\sqrt{2} )=-4 \\\\ t=\frac{4}{3\sqrt{2} -1} \cdot \frac{3\sqrt{2}+1 }{3\sqrt{2}+1 } =\frac{12\sqrt{2}+4}{17} \\\\\\2^x=\frac{12\sqrt{2}+4}{17} \\\\x=log_2 \ \ \frac{12\sqrt{2}+4}{17}$

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Digiron [165]

The answer is 51 liters.

Since they have a direct relationship, set up a direct proportion.
17/476=x/1428
476x3 is 1428 so
17x3=51

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2 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each function with the description

LiRa [457]

Answer:

Step-by-step explanation:

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2 years ago

Vector u has a magnitude of 7 units and a direction angle of 330°. Vector v has magnitude of 8 units and a direction angle of 30

Dafna11 [192]

Keeping in mind that x = rcos(θ) and y = rsin(θ).

we know the magnitude "r" of U and V, as well as their angle θ, so let's get them in standard position form.

$\bf u=
\begin{cases}
x=7cos(330^o)\\
\qquad 7\cdot \frac{\sqrt{3}}{2}\\
\qquad \frac{7\sqrt{3}}{2}\\
y=7sin(330^o)\\
\qquad 7\cdot -\frac{1}{2}\\
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\end{cases}\qquad \qquad v=
\begin{cases}
x=8cos(30^o)\\
\qquad 8\cdot \frac{\sqrt{3}}{2}\\
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y=8sin(30^o)\\
\qquad 8\cdot \frac{1}{2}\\
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\end{cases}$

$\bf u+v\implies \left( \frac{7\sqrt{3}}{2},-\frac{7}{2} \right)+\left( \frac{8\sqrt{3}}{2},4 \right)\implies \left( \frac{7\sqrt{3}}{2}+\frac{8\sqrt{3}}{2}~~,~~ -\frac{7}{2}+4\right)
\\\\\\
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-------------------------------$

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8 0

2 years ago

Their is a reservation fee of $47 and an additional hourly fee of $7.40 . The math club wants to spend less than $91.40 on renti

Margaret [11]

Answer: they can rent the room for less than 6 hours.

Step-by-step explanation:

Let x represent the possible amounts of time in which they can rent the room.

There is a reservation fee of $47 and an additional hourly fee of $7.40. This means that the total cost of renting the room for x hours would be

47 + 7.4x

The math club wants to spend less than $91.40 on renting the room. This would be expressed as

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7.4x < 91.4 - 47

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2 years ago

For an independent-measures ANOVA comparing two treatments with a sample of n = 10 in each treatment, what is the critical value

trapecia [35]

Answer:

critical value is 4.41

Step-by-step explanation:

Given data

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α = .05

to find out

the critical value

solution

first we calculate degree of freedom i.e

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degree of freedom = 10 - 1

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and

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degree of freedom 2 =( 10 -1 ) 2

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so for degree of freedom 9 and degree of freedom 2 is 18 and α = .05

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3 years ago