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bezimeni [28]
3 years ago
10

Write 130% as a fraction in lowest terms.

Mathematics
2 answers:
RoseWind [281]3 years ago
6 0
1 = 100%
1.3 = 130%
13/10 = 130%
Morgarella [4.7K]3 years ago
5 0
By lowest terms i'm guessing you mean the most simplified:

Firstly right the fraction in tenths (or one you know),
13/10 

The answer is 13/10 and it can't be simplified anymore

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Technetium-99m is used as a radioactive tracer for certain medical tests. It has a half-life of 1 day. Consider the function T w
Alinara [238K]

Answer:

The expression that represents the number of days until only 10% remains is T((d) 10 %) =100×(\frac{1}{2} )^{3.322}.

Step-by-step explanation:

The equation for half life is of the form

A = A₀×(\frac{1}{2} )^{\frac{t}{h} }.........................................................................(1)

Where

A = Final amount

A₀ = Initial amount

t = Time

h = Half life

For the equation T(d) = 100×2⁽⁻²⁾....................................(2)

We have by comparison with the equation for half life

2 ≡ \frac{t}{h}  and and the equation (2) can be written as

Percentage remaining after 2 half lives is

\frac{A}{A_0} ×100=100×(\frac{1}{2} )^{2 }

However if the half life of Technetium-99m is 6 hours then we have for one day

\frac{A}{A_0} ×100=100×(\frac{1}{2} )^{2 *2}

Therefore an expression that represents the number of days until only 10% remains is

\frac{A}{A_0} ×100=100×(\frac{1}{2} )^{\frac{d}{h}  } = 10 %

(\frac{1}{2} )^{\frac{d}{h}  } =\frac{1}{10}

= ㏑(\frac{1}{2} )^{\frac{d}{h}  }  = ㏑(\frac{1}{10})

= \frac{d}{h}×㏑(\frac{1}{2} ) = ㏑(\frac{1}{10})

\frac{d}{h} = \frac{ln(\frac{1}{10}) }{ln(\frac{1}{2} )} = 3.322

Therefore the expression for the number of days 10 % of Technetium-99m will be remaining is

T((d) 10 %) =100×(\frac{1}{2} )^{3.322}

3 0
4 years ago
-2x+2&gt;3x-8<br><br> 50 points
Blababa [14]

Given:

The inequality is

-2x+2>3x-8

To find:

The solution of the given inequality.

Solution:

We have,

-2x+2>3x-8

Isolate the variables terms on the left side.

-2x-3x>-2-8

-5x>-10

Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.

\dfrac{-5x}{-5}

x

Therefore, the correct option is D.

5 0
3 years ago
How do I solve this using long polynomial division?
Sladkaya [172]

Answer:

I don't know how to explain the work, but the answer is x + 5

Step-by-step explanation:

Sorry if you get this wrong btw :/

5 0
3 years ago
Consider a graph of the equation y = −3x + 4. What is the y-intercept? Answers: −3, 3, 4, −4
Rzqust [24]

Answer:

When finding the y-intercept it indicates that the x-coordinate will be zero.

So,when letting x=0 you will get

y=-3(0)+4

Hence,

y=4

Step-by-step explanation:

5 0
3 years ago
The length of a rectangular room is 5 feet more than its width. The perimeter of the room is
Roman55 [17]

Answer:

\displaystyle 39 = W \\ 44 = L

Step-by-step explanation:

{L = W + 5

{166 = 2L + 2W

166 = 2[W + 5] + 2W

166 = 2W + 10 + 2W

166 = 10 + 4W

- 10 - 10

___________

\displaystyle \frac{156}{4} = \frac{4W}{4}

\displaystyle 39 = W[Plug this back into both equations above to get the length of 44 feet; \displaystyle 44 = L

I am joyous to assist you anytime.

5 0
4 years ago
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