103 is 20% of what number

Answers

Answer 1

Answer: Use property of proportions:

103 ---------- 20%
x ---------- 100%

$x=(103*100)/(20)=(10300)/(20)=515$

So, 103 is 20% of 515

Answer 2

Answer: $x \cdot 20 \% =103 \n \n x\cdot (20)/(100)=103 \n \n (1)/(5)x=103 \ \ / \cdot 5\n\nx=515 \n \nAnswer: \ number \ is \ 515$

Answer:

The equation of the line that is tangent to the circle at (8, -2) is:

$x=8$

Step-by-step explanation:

We know that the line which is tangent at a point on a circle is perpendicular to the line joining the center of the circle and that point.

Here we are given the equation of a circle as:

$(x-3)^2+(y+2)^2=25$

The center of the circle is at: (3,-2)

( Since, the standard form of a circle with center at (h,k) and radius r is given by:

$(x-h)^2+(y-k)^2=r^2$ )

Also, the equation of a line joining (3.-2) and (8,-2) is given by:

$y-(-2)=(-2-(-2))/(8-3)* (x-3)\n\ni.e.\n\ny+2=(-2+2)/(5)* (x-3)\n\ni.e.\n\ny+2=(0)/(5)* (x-3)\n\ni.e.\ y+2=0\n\ni.e.\ y=-2$

Also, we know that the slope of this line is zero.

Also, we know that if two lines are perpendicular with slope m and m' respectively then,

$m\cdot m'=-1\n\ni.e.\n\nm'=(-1)/(m)$

Hence, we get that the slope of the tangent line is:

$(-1)/(0)$

Also, we know that:

The equation of a line with given slope m' and a passing through point (a,b) is given by:

$y-b=m'(x-a)$

Here (a,b)=(8,-2)

and $m'=(-1)/(0)$

i.e. the equation of the tangent line is:

$y-(-2)=(-1)/(0)(x-8)\n\ni.e.\n\ny+2* 0=-1(x-8)\n\ni.e.\n\n-1* (x-8)=0\n\ni.e.\n\n(x-8)=0\n\ni.e.\n\nx=8$

Hello,

O=(3,-2) is the center of the circle and 5 its radius.

P=(8,-2)
The line OP is parallele to ox axis so then tangent is parallele to oy axis
Its equation is x=8.

Solve: 3x + 1 = 3

With working out

Answers

$3x + 1 = 3 \n \n3x + 1-1 = 3 -1\n \n 3x = 2 \n \n (3x)/(3) = (2)/(3) \n \n x = (2)/(3)$

$3x+1 =3 \n \n 3x =3 -1 \n \n 3x =2 \n \n \n (3x)/(3) = (2)/(3) \n \n x = (2)/(3) \n \n \framebox[1.1\width]{Good Luck!} \par$

Simplify 10,000^3/4 using a calculator.

Answers

The answer I get based off of the question is 1000.

Simplify the given equation.
17x - 6 + 3x - 5 = x + 11 + 4x

Answers

17x - 6 + 3x - 5 = x + 11 + 4x

The first thing to do is to get all the xs on the same side.

17x + 3x - x - 4x = 11 + 5 + 6
15x = 22
x = 22/15

The answer is x = 22/15

22 - 15 = 7
If this needs to be simplified, the answer is x = 1 7/15

$17x - 6 + 3x - 5 = x + 11 + 4x$
$17x-11+3x=x+11+4x$
$20x-11=x+11+4x$
$20x-11=5x+11$
Subtract 5x
$20x-11-5x=11$
$15x-11=11$
Add 11
$15x=11+11$
$15x=22$
Divide by 15
$x= (22)/(15)$
$x=1 (7)/(15)$

What is the range and domain of the parent function f(x) = |x|

Answers

Answer:the domain of the parent function f(x) = |x| is all real numbers, and the range is all non-negative real numbers.

Step-by-step explanation:

(This answer was AI generated)

Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3

Answers

f(X)=4x+12-5=4x+7
so
{f(x)-7}/4=x
now in inverse func. f(x0 is converted into x and x is converted into
f(x)^-1
so
f(x)^-1=[x-7]/4
now if x=3
f(3)^-1=[3-7]/4=-4/4=-1

$f(x)=4(x+3)-5\n y=4(x+3)-5\n y=4x+12-5\n y=4x+7\n 4x=y-7\n x=(1)/(4)y-(7)/(4)\n f^(-1)(x)=(1)/(4)x-(7)/(4)\n f^(-1)(3)=(1)/(4)\cdot3-(7)/(4)\n f^(-1)(3)=(3)/(4)-(7)/(4)\n f^(-1)(3)=-(4)/(4)\n f^(-1)(3)=-1$

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103 is 20% of what number

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