<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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3 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]3 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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Find the slope of the line that passes through both given points.

hichkok12 [17]

Micheal is here to help.

A's slope would be 0.33 And B's slope would be 0

Step-by-step explanation:

To find a slope you have to use y2-y1/x2-x1

If you do this with both the anwsers will be 0.33 and 0.

7 0

2 years ago

Let N be the universal set and A, B, C, D be its subsets given by A={x:xisaevennaturalnumber},B={x:xNandxisamultipleof3} C={x:x

Svet_ta [14]

Answer:

$A^{'}$ = {1,3,5,7,9,....}

$B^{'}$ = {1,2,4,5,7,8,10,11,13,14......}

$C^{'}$ = {1,2,3,4,5}

$D^{'}$ = {10,11,12,13,14,15,......}

Step-by-step explanation:

Solution:

It is given that, Universal set is the set of all Natural Numbers.

and

Set A, Set B, Set C, Set D are subsets of Universal set.

A = {x:x is even natural numbers} = {2,4,6,8,10,.....}

B = {x:x ∈ N and x is a multiple of 3} = {3,6,9,12,15,....}

C = {x:x∈ N and x < 5} = {6,7,8,9,10,.....}

D = {x:x ∈ N and x > 10} = {1,2,3,4,5,6,7,8,9}

U = {1,2,3,4,5,6,7,8,9,10,11,........}

Complements:

$A^{'}$ = U-A = {1,2,3,4,5,6,7,8,9,10,11,........} - {2,4,6,8,10,.....}

$A^{'}$ = {1,3,5,7,9,....}

$B^{'}$ = U-B = {1,2,3,4,5,6,7,8,9,10,11,........} - {3,6,9,12,15,....}

$B^{'}$ = {1,2,4,5,7,8,10,11,13,14......}

$C^{'}$ = U-C = {1,2,3,4,5,6,7,8,9,10,11,........} - {6,7,8,9,10,.....}

$C^{'}$ = {1,2,3,4,5}

$D^{'}$ = {1,2,3,4,5,6,7,8,9,10,11,........} - {1,2,3,4,5,6,7,8,9}

$D^{'}$ = {10,11,12,13,14,15,......}

8 0

3 years ago

On a map the perimeter of the is 0.251 meters. The actual perimeters of the park is 1,000 times as large. What is the actual per

raketka [301]

The actual perimeter of the park is $\boxed{\bf251{\text{ meters}}}$ .

Further explanation:

Given:

The perimeter of the park is on a map $0.251{\text{ meters}}$ . The measured perimeter of the park is 1000 times as large.

Calculation:

The distance of the closed figure is called as the perimeter.

The perimeter of the attached Figure 1 can be calculated as,

$\begin{aligned}{\text{Perimeter}}&=a+a+b+b\\&=2\left({a+b}\right)\\\end{aligned}$

Here, $x,y{\text{ and }}z$ is the length of the shape.

From place value chart, 10 tens is equal to 1 hundreds.

Tenths are one place after the decimal and hundredths are two places after the decimal.

Two tenths can be written in the form of decimal as follows:

$\dfrac{2}{{10}}=0.2$

Five hundredths can be written in the form of decimal as follows:

$\dfrac{5}{{100}}=0.05$

One thousandths can be written in the form of decimal as follows:

$\dfrac{1}{{1000}}=0.001$

Therefore, the number 0.251 can be written as,

$\begin{aligned}0.251&=\frac{2}{{10}}+\frac{5}{{100}}+\frac{1}{{1000}}\\&=0.2+0.05+0.001\\&=0.251\\\end{aligned}$

On the map the perimeter of the park is $0.251{\text{ meters}}$ .

Let ${\text{P}}$ be the actual perimeter of the park.

The actual perimeter of the park can be calculated as follows,

$\begin{aligned}{\text{P}}&=0.251\times1000\\&=251{\text{ meters}}\\\end{aligned}$

Thus, the actual perimeter of the park is $\boxed{\bf251{\text{ meters}}}$ .

Learn more:

1. Learn more about problem on function brainly.com/question/1632445

2. Learn more about problem on triangle brainly.com/question/7437053

3. Learn more about problem on range and domain of functions brainly.com/question/3412497

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Numbers

Keywords: Perimeter, park, map, , measured, 1000 times large, distance, closed figure, length, shape, place value chart, hundreds, tenths.

6 0

3 years ago

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Vlad [161]

Answer: 1/4

Step-by-step explanation:

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3 years ago

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allochka39001 [22]

Answer:

A. No

Step-by-step explanation:

y = 2x + 4

(5) = 2(1) + 4

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5 = 6 (false statement)

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2 years ago