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4 years ago

Why do you have to flip where x is when you are doing porportions

Mathematics

1 answer:

Nitella [24]4 years ago

5 0

You don't flip; you cross multiply proportions

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You have just isolated a new radioactive element. If you can determine its half-life, you will win the Nobel Prize in physics. Y

Troyanec [42]

Staals half
1 gram left
0.3 grams left
half lives are normally written in years
it goes likt this

$A=P( \frac{1}{2})^ \frac{t}{h}$
A=final amount
P=initila amount
t=time elapsed
h=time half life is (same units as time)

let's use days as the units of time

we are given
initial amount=1gram
final amount=0.3gram
time=4 days

so
$0.3=1( \frac{1}{2})^ \frac{4}{h}$
solve for h
$0.3=( \frac{1}{2})^ \frac{4}{h}$
take the ln of both sides
$ln(0.3)=ln( \frac{1}{2})^ \frac{4}{h}$
$ln(0.3)=\frac{4}{h}ln( \frac{1}{2})$
times both sides by h
$hln(0.3)=4ln( \frac{1}{2})$
divide both sides by ln(0.3)
$h= \frac{4ln( \frac{1}{2}) }{ln(0.3)}$
use calculator
h=2.30287
3 sig figs
h=2.303 days

6 0

4 years ago

Complete the proof for the following conjecture.

Ray Of Light [21]

Answer:

Statements Reasons

AC+CD=AD and AB+BD=AD Segment Addition Postulate

AC+CD=AB+BD Transitive/Substitution Property

AC=BD Given

BD+CD=AB+BD Substitution Property

CD=AB Subtraction Property

AB=CD Symmetric Property

Step-by-step explanation:

By segment addition postulate, we can say the following two equations:

AC+CD=AD and AB+BD=AD.

By either substitution/transitive property, you can say AC+CD=AB+BD.

You are given AC=BD, so we use substitution and write AC+CD=AB+AC.

After using subtraction property (subtracting both sides by AC), you obtain CD=AB.

By symmetric property, you may say AB=CD.

So let's write it into the 2 column-proof you have there:

Statements Reasons

AC+CD=AD and AB+BD=AD Segment Addition Postulate

AC+CD=AB+BD Transitive/Substitution Property

AC=BD Given

BD+CD=AB+BD Substitution Property

CD=AB Subtraction Property

AB=CD Symmetric Property

Properties/Postulates used:

Transitive property which says:

If a=b and b=c, then a=c.

Substitution property which says:

If a=b, then b can be substituted(replaced with) for a.

Subtraction property which says:

a=b implies a-c=b-c.

Segment Addition Postulate says:

If you break a segment into two smaller pieces then the measurement of that segment is equal to the sum of the smaller two segments' measurements.

3 0

3 years ago

What is the measurement for <8?<br> A:108<br> B:98<br> C:252<br> D: 37.4

Verizon [17]

Answer:

c is a answer

yh i think

6 0

3 years ago

HELP IAM BEING TIMED

MaRussiya [10]

Answer:

Step-by-step explanation:

given y = kx

To find k use the x and y values of the coordinate point given (- 5, 3)

k = $\frac{y}{x}$ = $\frac{3}{-5}$ = - $\frac{3}{5}$

7 0

3 years ago

Read 2 more answers

Doing monomials. How do you do this one?

butalik [34]

$(- \frac{5}{10} )( \frac{ x^{3} }{ x^{3}} } )( \frac{ y^{3} }{ y^{3} y^{4} } )( \frac{z^{4} }{ z^{4} } )$ => $(- \frac{1}{2} )( \frac{1}{ y^{4} } ) => \frac{-1}{2 y^{4} } .$

5 0

3 years ago