simplify simplify simplify simplify

Answer:

Step-by-step explanation:

300÷6x²÷3.14=2.6539278131634819533

Answer:x_1= -1 or x_2= -6

Step-by-step explanation:

In the pictures

By using factorization, [tex]\[\dfrac{2x}{x + 2} = -\dfrac{6}{x + 4}.\][/tex] , values of x are -2, 3.

Factorization can be defined as the process of breaking down a number into smaller numbers which when multiplied together arrive at the original number.

These numbers are broken down into factors or divisors.

For an integer, factorization is decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number and these composing integers are called factors of that considered integers.

Given

[tex]\[\dfrac{2x}{x + 2} = -\dfrac{6}{x + 4}.\][/tex]

Cross multiplication;

2x(x + 4) = 6(x + 2)

[tex]2x^{2} + 8x = 6x + 12\\\\2x^{2} + 8x - 6x - 12 = 0\\\\2x^{2} + 2x - 12 = 0\\\\x^{2} + x - 6 = 0[/tex]

Divide above equation by 2, we get

[tex]x^{2} + x - 6 = 0[/tex]

(x +2) (x-3)

x = -2, 3

Therefore, By using factorization, [tex]\[\dfrac{2x}{x + 2} = -\dfrac{6}{x + 4}.\][/tex] , values of x are -2, 3.

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Answer:

see image

Step-by-step explanation:

Answer:

"How many times does 81 divide into 547?"

Answer:

[tex]\displaystyle 3[/tex]

Explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]

AND

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]

Accourding to the graph AND the above information, your amplitude is three units. This means each crest is extended three units beyond the midline of [tex]\displaystyle y = 0,[/tex] the centre of your graph, also known as the vertical shift. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

Now, just in case you wanted to know the equation(s) of this graph, look below:

[tex]\displaystyle y = 3sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) \\ y = 3cos\:\frac{\pi}{2}x[/tex]

I am delighted to assist you at any time.

Answer:

1

Step-by-step explanation:

The second power and square root cancel each other (second power means squared by the way)

Answer:

52 meters

Step-by-step explanation:

each percent is 1, so 50m plus 4 percent equals 52

Answer:

tan j = 15/9

Step-by-step explanation:

tan(theta) is equal to perpendicular by base

Answer:

x = 5

Step-by-step explanation:

Sum of angles = 180, so

60 + 80 + 8x = 180

140 + 8x = 180

8x = 180 - 140 = 40

x = 40/8 = 5

Answer:

-7j + 3

Step-by-step explanation:

Combine like terms:

-5j + (-2j) = -7j

-7j + 3

Answer and Step-by-step explanation:

Simply combine the values together.

-5j - 2j + 3

-7j + 3 is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

(5;3)

Step-by-step explanation:

Give your answer both.

The distance between the points (5, 0) and (0, 3) is approximately 5.83095 units.

To find the distance between two points, we can use the distance formula:

Distance = √[tex]((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]

Given the points (5, 0) and (0, 3), we have:

[tex]x_1 = 5, y_1 = 0\\\\x_2 = 0, y_2 = 3[/tex]

Substituting these values into the formula:

Distance = √[tex]((0 - 5)^2 + (3 - 0)^2)[/tex]

Distance = √[tex]((-5)^2 + (3)^2)[/tex]

Distance = √(25 + 9)

Distance = √34

The exact distance between the points is √34, which is approximately 5.83095 when rounded to five decimal places.

So, the distance between the points is approximately 5.83095 units.

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Answer:

v=20/3

See IMAGE FOR SOLUTION

In the given expression f = uv /(v+t) value of v in terms of t is *4/3t.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given an expression f = uv /(v+t)

Also given

f = 20

u = 5

Hence, From the expression

f =  uv /(v+t)

=> 20 = 5v/(v + t)

Simplifying in the terms of v

20v + 20t = 5v

15v = -20t

v = -4/3t

Therefore, the value of v in the given expression is -4/3t.

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Hey there! I'm happy to help!

Our goal here is to write the function (equation) that represents what Carlos has graphed. This is a line, so we can use the slope-intercept equation to represent it.

Our slope-intercept equation is y=mx+b, where m is the slope and b is the y-intercept.

If we look at the graph, we see that the the line intersects the y-axis at the point (0,0), also known as the origin, so our y-intercept is 0.

To find our slope, we need to first find two points on the line. Well, we already have (0,0). The next point on the line that seems to have integers is (7,5). This means that from (0,0) our rise is 5 and our run is 7, and since slope is rise over run, that means that our slope is 5/7 (for every one unit we go over, the line goes up 5/7).

Now, we just throw these numbers into the equation.

y=5/7x

or

f(x)=5/7x (if it needs to be in that function format)

Have a wonderful day and keep on learning! :D

Answer:

2nd option

Step-by-step explanation:

Given

c = 8πab ( isolate a by dividing both sides by 8πb

[tex]\frac{c}{8\pi b}[/tex] = a

There are many examples you could go with, but one is "If a shape is a square, then it is always a rectangle".

The converse has us flip the statement into "If a shape is a rectangle, then it is always a square" which is not true. Some rectangles aren't squares.

------------------------

Another example could be "If it is a dog, then it is an animal" which is always true. The flip of it is "If it's an animal, then its a dog" which is false because the animal could be a cat for instance.

Step-by-step explanation:

-7/10 ÷ 2/5 = -7/10 x 5/2 = - 7/4

Answer:

your answer is

[tex]-\frac{7}{4}/[/tex]

Answer:

Step-by-step explanation:

Mean = Sum of data ÷ number of data set

         [tex]=\dfrac{9+3+15+7+2+4+3}{7}\\\\=\dfrac{43}{7}\\\\= 6.14\\\\= 6.1[/tex]

Median:

Arrange the data in ascending order:

2 , 3 , 3 , 4 , 7 , 9 , 15

Middle term is the median of the data set

Median  = 4th term = 4

Mode:

Mode is the data whose is frequency is more.

So, mode = 3

Range = Maximum - minimum

           = 15 - 2

           = 13

Answer:

[tex]3(y + 2) - 5 = 22 \\ 3(y + 2) = 27 \\ (y + 2) = 9 \\ y = 9 - 2 \\ y = 7[/tex]

Answer: 7

Step-by-step explanation:

3y+6-5=22

3y+1=22

3y=22-1

y=21/3

y=7

Answer:

1) [tex] - \frac{4}{5} [/tex]

2) [tex] \frac{9}{8} [/tex]

Step-by-step explanation:

[tex] \frac{2}{5} - \frac{2}{3} = \frac{2 \times 3}{5 \times 3} = \frac{2 \times 5}{3 \times 5} = \frac{6}{15} - \frac{10}{15} [/tex]

[tex] \frac{6 - 10}{15} = - (10 - 6) = - 4[/tex]

[tex] = - \frac{4}{15} [/tex]

°■°■°■°■°■°■°■°■°■°

[tex] \frac{3}{4}+\frac{3}{8} [/tex]

[tex] \frac{6+3}{8} [/tex]

[tex] = \frac{9}{8} [/tex]

Answer:

2:1.

Step-by-step explanation:

The area of a red  curved surface = 2πr^2.

The area of the yellow flat surface = πr^2.

This is the case for all the hemispheres.

Therefore the  required  ratio =  2πr^2 :  πr^2

= 2:1.

Answer:

y is larger.

Step-by-step explanation:

Along the same vertical line, 2 points have the same x value. So x=2 and y=4.

Answer: sorry i just know no.2

Step-by-step explanation:

2) = soln

h = ?

p = 5

b =9

[tex]h^2 = p^2 + b^2\\h^2 = 3^2 + 9^2\\or, h^2 = 9+81\\or, h^2 = 90\\so, h = \sqrt{90} \\\\[/tex]

Let the angle be x

so

tan x = p/b

tan x = 5/9

x = [tex]tan^{-1} (5/9)[/tex]

so, x = 29.054

rounding off to ten

x = 29.1

now

let the another angle be y

so

90+y+29.1 = 180

29.1 + y = 180-90

y = 90-29.1

so, y = 60.9

the missing side is √90 and missing angles are 29.1° and 60.9°

B

Step-by-step explanation:

AM on total = 1/2

so (x+19)/(x+29)=1/2

2x +38 =x + 29

x=-9

Answer:

[tex] \frac{x - 5}{3} \geqslant 2.8 \\ \\3 \times ( \frac{x - 5}{3} ) \geqslant \frac{28}{10} \times 3 \\ \\ \\ x - 5 \geqslant \frac{84}{10} \\ \frac{84}{10} = 8.4 \\ \\ x - 5 \geqslant 8.4 \\ \\ x \geqslant 13.4[/tex]

Answer:

C.I=P(1+r/100)^n-1

1881=p(109/100)^2-1

1881=p(11881-10000/10000)

1881=p×1881/10000

1881/1881×10000=p

P=10,000

Answer:

Step-by-step explanation:

1+cos 2a=2cos^2a

cos a=√[(1+cos 2a)/2]

[tex]put~a=\frac{\pi }{8} \\2a=\frac{\pi }{4} \\\\cos\frac{\pi }{8} =\sqrt{\frac{1+cos \frac{\pi }{4} }{2} } \\=\sqrt{\frac{1+\frac{\sqrt{2}}{2} }{2} }\\=\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]

Answer:

please help me my friend