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2 years ago

2,000,000 mg = how many kg?

1 answer:

8 0

$1kg=1,000g\\1g=1,000mg\\\\therefore\\1kg=1,000\times1,000mg=1,000,000mg\to1mg=\frac{1}{1,000,000}kg\\\\2,000,000mg=\frac{2,000,000}{1,000,000}kg=\boxed{2kg}$

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Complete the steps of derivation of the quadratic formula

Stells [14]

Step 1. We are going to begin with standard form a quadratic equation: $ax^2+bx+c=0$

Step 2. Divide both sides of the equation by $a$ :
$\frac{ax^2+bx+c}{a} = \frac{0}{a}$
$\frac{ax^2}{a} + \frac{bx}{c} + \frac{c}{a} =0$
$x^{2} + \frac{b}{a} x+ \frac{c}{a} =0$

Step 3. Subtract $\frac{c}{a}$ from both sides of the equation:
$x^{2} + \frac{b}{a} x+ \frac{c}{a}- \frac{c}{a} =0 - \frac{c}{a}$
$x^{2} + \frac{b}{a} x=- \frac{c}{a}$

Step 4. Complete the square of the left hand side by adding $( \frac{b}{2a} )^2$ to both sides:
$x^{2} + \frac{b}{a} x+( \frac{b}{2a} )^2=- \frac{c}{a} +( \frac{b}{2a} )^2$
$(x+ \frac{b}{2a} )^2=- \frac{c}{a} +( \frac{b}{2a} )^2$

Step 5. Take square root to both sides of the equation:
$\sqrt{(x+ \frac{b}{2a} )^2} =+/- \sqrt{- \frac{c}{a} +( \frac{b}{2a} )^2}$
$x+ \frac{b}{2a}=+/-\sqrt{- \frac{c}{a} +( \frac{b}{2a} )^2}$

Step 6. Subtract $\frac{b}{2a}$ from both sides of the equation:
$x+ \frac{b}{2a}- \frac{b}{2a} =- \frac{b}{2a} +/-\sqrt{- \frac{c}{a} +( \frac{b}{2a} )^2}$
$x=- \frac{b}{2a} +/-\sqrt{- \frac{c}{a} +( \frac{b}{2a} )^2}$

Step 7. Simplify the radicand of the left hand side of the equation:
$x=- \frac{b}{2a} +/-\sqrt{- \frac{c}{a} + \frac{b^2}{(2a)^2}}$
$x=- \frac{b}{2a} +/-\sqrt{- \frac{c}{a} + \frac{b^2}{4a^2}}$
$x=- \frac{b}{2a} +/-\sqrt{- \frac{4ac}{4a^2} + \frac{b^2}{4a^2}}$
$x=- \frac{b}{2a} +/-\sqrt{- \frac{4ac+b^2}{4a^2} }$

Step 8. Take $4a^2$ outside the radical:
$x=- \frac{b}{2a} +/- \frac{ \sqrt{-4ac+b^2} }{ \sqrt{4a^2} }$
$x=- \frac{b}{2a} +/- \frac{ \sqrt{-4ac+b^2} }{2a} }$

Step 9. Combine the two fractions and rearrange the terms in the radical:
$x= \frac{-b+/- \sqrt{b^2-4ac} }{2a}$

3 0

3 years ago

PLEASE HELP!!: 600 raffle tickets were sold for $5 each. There is one $500 first prize and three $200 second prizes. The remaind

sveta [45]

Answer:

$4,100

Step-by-step explanation:

600 x $5 = $3000

$3000 + $500 = $3500

$3500 + $200 + $200 + $200 = $4100

Thanks to

27turekkm

3 0

2 years ago

A group of students are intending to offer a present to a friend. If each one pays 3000 LL.

Elanso [62]

Answer:

There are 8 friends and the presents costs $30,000

Step-by-step explanation:

Let x be the number of students and y be the price of the present. Their contributions can be expressed as:

$3000x=y-6000\ \ \ \ \ \ ...i\\\\4000x=y+2000\ \ \ \ \ \ \ \...ii$

#Make y the subject in equation i then substitute in ii:

$y=3000x+6000\\\\\#substitute \ in \ ii\\\\4000x=y+2000\\\\4000x=(3000x+6000)+2000\\\\1000x=8000\\\\x=8\\\\y=3000\times 8+6000\\\\y=30000$

Hence, there are 8 friends and the present is priced at $30,000

3 0

2 years ago

.. an. v. . it V V is going on afield trip to Austin to of Texas History and lo see an I MAX Ruiz day given the number of hours

erastova [34]

This is one of those problems where you'll sink like a rock if
you allow yourself to be blinded by all the useless, unnecessary,
irrelevant information in the first paragraph.

The ONLY information you need is:

-- You're chartering a bus for 1 day.
-- It costs $780 .

That's ALL .

(You don't even need to know that the bus has 55 seats.
You might need that for #8 - #12, but not for #6 or #7.)
_________________________

If the people on the trip are going to share the cost of the bus,
then the cost of each share depends on the number of people.

 Less people ==> each one pays more.
 More people ==> each one pays less.

Just like everybody in the office sharing the cost of
a birthday gift for the boss.

#6 and #7 should really be done in the reverse order ...
do #7 before you worry about #6.
Before you can fill in the table in #6, you absolutely need
to have the equation, whether or not you realize it.

The total cost is fixed . . . It's $780 .

If 2 people go on the trip, each one pays 780 / 2 .
If 3 people go on the trip, each one pays 780 / 3 .
If 4 people go on the trip, each one pays 780 / 4 .
If 5 people go on the trip, each one pays 780 / 5 .
.
.
If 10 people go on the trip, each one pays 780 / 10 .
.
.
If 20 people go on the trip, each one pays 780 / 20 .
.
.
If ' n ' people go on the trip, each one pays 780 / n .
.
. until the bus is full ...
.
If 55 people go on the trip, each one pays 780 / 55 .
.
If 56 people go on the trip, then you need another bus,
and it gets more complicated.

But up to 55, the price per person is (780 / the number of people).

 #7). P = 780 / n .

Now, filling in the table in #6 is a piece 'o cake.

5 people. . . . . . . 780 / 5
10 people . . . . . 780 / 10
15 people . . . . . 780 / 15
20 people . . . . . 780 / 20
.
.
etc.

Just don't go past 55 people. The equation changes after that.

For ANY number of people, even hundreds, and ANY number
of buses, I think the equation looks something like this:

P = (785/n) · [ 1 + int(n/56) ] .

' int ' means ' the greatest integer in ... ', that is,
 ' throw away the fractional part of the quotient,
 and use only the whole number '.

5 0

3 years ago

The mapping diagram shows a functional relationship.

irga5000 [103]

Answer:

its -1

Step-by-step explanation:

cuz

5 0

3 years ago