What is 0.001 as a percent

Answers

Answer 1

Answer: 1 tenth(1/10) of a percent or .1%
I know this because you multiply the decimal*100 to get the percent.

Answer 2

Answer: The answer is .1% because when you change a decimal to a percentage you move the decimal point to the tight two time, and vise versa for a percentage to a decimal you move the decimal point two spaces to the left.

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the difference between two numbers is 9. the first number plus twice the other number is 27. find the two numbers

Answers

So,

Let's translate this into mathematical form.

x - y = 9
x + 2y = 27

Elimination by Addition
Divide both sides of the second equation by 2
$(1)/(2)x + y = 13 (1)/(2)$

Add the two equations together
$(3)/(2) x = (45)/(2)$

Multiply both sides by $(2)/(3)$
$x = (90)/(6) \ or \ 15$

Substitute
15 - y = 9

Subtract 15 from both sides
-y = -6
y = 6

Substitute
15 - 6 = 9
9 = 9 This checks.

15 + 2(6) = 27

Distribute
15 + 12 = 27
27 = 27 This also checks.

S = {(15,6)}

a-b=9 ......a=9+b
a+2b=27
(9+b)+2b=27
9+3b=27
3b=27-9
3b=18
b=6
a=9+b=6+9=15

5x+7y=775x+3y=53

2x+5y=-1
X+2y=0

3x+6y=6
2x-3y=4

Answers

1.)
$5x+7y=77\n 5x+3y=53\n (5x+7y)-(5x+3y)=77-53\n 5x-5x+7y-3y=24\n 4y=24\n y=6\n 5x+7\cdot 6=77\n 5x+42=77\n 5x=77-42\n 5x=35\n x=\frac { 35 }{ 5 } \n x=7$

2.)
$2x+5y=-1\n x+2y=0\n \n 2\cdot (x+2y)=2\cdot 0\n 2x+4y=0\n (2x+5y)-(2x+4y)=-1-0\n 2x-2x+5y-4y=-1\n y=-1\n 2x+5\cdot -1=-1\n 2x-5=-1\n 2x=-1+5\n 2x=4\n x=\frac { 4 }{ 2 } \n x=2$

3.) $3x+6y=6\n 2x-3y=4\n 2\cdot (2x-3y)=2\cdot 4\n 4x-6y=8\n \n (3x+6y)+(4x-6y)=6+8\n 4x+3x+6y-6y=14\n 7x=14\n x=\frac { 14 }{ 7 } \n x=2\n \n 3\cdot 2+6y=6\n 6+6y=6\n 6y=0\n y=0\n$

1. Solve x2 + 8x - 6 = 0 using the Quadratic Formula.

Answers

The solutions obtained by using quadratic formula are given as -4 + 2√2 and -4 - 2√2 respectively.

What is a quadratic equation?

The general form of a quadratic equation is given as ax^2 + bx + c = 0.

Here, a ≠ 0 and b and c are integers.

The degree of a quadratic equation is 2.

The given quadratic equation is x² + 8x - 6 = 0.

The quadratic formula for a quadratic equation ax² + bx + c is given as,

x = (-b ± √(b² - 4ac))/2a

Substitute the values of corresponding coefficients to get,

x = (-8 ± √(8² - 4 × 1 × -6))/2 × 1

= (-8 ± √32)/2

= -4 ± 2√2

Hence, the solution of the given quadratic equation is given as -4 + 2√2 and -4 - 2√2 respectively.

To know more about quadratic equation click on,

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Answer:

Two solutions were found :

x =(8-√88)/2=4-√ 22 = -0.690

x =(8+√88)/2=4+√ 22 = 8.690

Step-by-step explanation:

olving x2-8x-6 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

In our case, A = 1

B = -8

C = -6

Accordingly, B2 - 4AC =

64 - (-24) =

Applying the quadratic formula :

8 ± √ 88

x = —————

Can √ 88 be simplified ?

Yes! The prime factorization of 88 is

2•2•2•11

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 88 = √ 2•2•2•11 =

± 2 • √ 22

√ 22 , rounded to 4 decimal digits, is 4.6904

So now we are looking at:

x = ( 8 ± 2 • 4.690 ) / 2

Two real solutions:

x =(8+√88)/2=4+√ 22 = 8.690

or:

x =(8-√88)/2=4-√ 22 = -0.690

Two solutions were found :

x =(8-√88)/2=4-√ 22 = -0.690

x =(8+√88)/2=4+√ 22 = 8.690

What is the equation of the line described below written in slope-intercept form? the line passing through point (2, 4), parallel to the line whose equation is y = x y = -x y = x + 2 y = -x + 2

Answers

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

If we have the following line:

$y = x$

Whose slope is $m_ {1} = 1$

So, a line parallel to it has a slope $m_ {2} = 1$

Therefore, the equation is of the form:

$y = x + b$

If the line passes through point $(2,4),$ we can substitute in the equation and find "b":

$4 = 2 + b\n4-2 = b\nb = 2$

Finally, the equation is:

$y = x + 2$

ANswer:

$y = x + 2$

Answer:

y=x+2

Step-by-step explanation:

Evaluate cot 120° without using a calculator by using ratios in a reference triangle.

Answers

The reference angle for $120\degree$ is $60\degree$ .

Recall that $cot(120\degree) = (1)/(tan(120\degree))$

This implies that $cot(120\degree) = (1)/(tan(60\degree))$

Recall also from $30\degree - 60\degreee - 90\degree$ triangle that

$tan(60\degree)=\sqrt(3)$ and also since $120\degree$ is the in the second quadrant, the tangent ratio is negative.

Putting all together we have

$cot(120\degree) = (1)/(-\sqrt(3))$

Rationalizing the denominator gives

$cot(120\degree) = (-\sqrt(3))/(3)$

Answer:

The value of cot 120° is $-(√(3))/(3)$ .

Step-by-step explanation:

Consider the trigonometric identity:

$cot(180-\theta)= -cot(\theta)$

Now use the above trigonometric identity:

$cot(120)= cot(180-60)$

$cot(180-60)= -cot(60)$

Now use the identity: $cot(\theta)=(1)/(tan(\theta))$

$-cot(60)=-(1)/(tan(60))$

Substitute the value of tan 60°.

$-(1)/(tan(60))=-(1)/(√(3))$

Now rationalize the denominator gives us:

$-(√(3))/(3)$

Hence, the value of cot 120° is $-(√(3))/(3)$ .

determine wheter 3x+12+x is equivalent to 4(3+x). use properties of operations to justify your answer. please help! answer only if you know!

Answers

3x + 12 + x = 4x + 12 becuase 3x and x are like terms so you can add them
4(3 + x) = 12 + 4x because 4 times 3 is 12 and 4 times x is 4x so you add them to get 12 + 4x which can be rearranged to equal 4x + 12
So in short: 3x + 12 +x is equivalent to 4(3+x)

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