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zubka84 [21]
3 years ago
15

How do you do x + 5 = 8 in the order steps

Mathematics
1 answer:
mezya [45]3 years ago
7 0

Answer:

x=3

Step-by-step explanation:

x+5=8

subtract 5 from both sides to isolate x

x=8-5

subtract 5 from 8 to get 3

x=3

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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
X-3/18=12/9<br> what is the answer? It is proportions.
olga nikolaevna [1]

Answer:

x=3/2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A vehicle was travelling at a speed of 72km per hour. What distance did it cover in 2 hours? A. 158km B. 148km C. 168km D. 144km
Andru [333]

Answer:

D. 144km

Step-by-step explanation:

If the vehicle travels 72km every hour, in two hours, it will drive 144km. (72x2=144)

4 0
3 years ago
An oil exploration firm is formed with enough capital to finance ten explorations. The probabil- ity of a particular exploration
tensa zangetsu [6.8K]

Answer:

μ = 1 The firm expects that one oil exploration will be successful.

v(x)= 0.9

Step-by-step explanation:

The first step is to define the random variable x as:

x: number of oil explorations being succesful

Then x can be take this values:

x = 0 , x =1 ... x =10

x is a binomially distributed random variable with parameters.

p = 0.1 and  n=10

And the mean or the expected value of x is:

μ = E(x) = np

Then μ = 10*0.1 = 1

And the variance of x is:

V(x) = np(1-p)

V(x) = 10(0.1)(1-0.1)= 0.9

6 0
3 years ago
I have just one question, could someone please answer it?? (see linked file)
Annette [7]

The solution is x=1 and y=-2

Further explanation:

Given equations are:

\frac{7}{2}x-\frac{1}{2}y=\frac{9}{2}\\3x-y=5

Multiplying equation no. 1 with 2 will give us:

7x-y=9       Eqn 3

From equation no 2:

3x-y=5\\-y=5-3x\\y=3x-5

Putting the value of y in eqn 3

7x-(3x-5)=9\\7x-3x+5=9\\4x=9-5\\4x=4\\\frac{4x}{4}=\frac{4}{4}\\x=1\\Putting\ x=1\ in\ equation\ 2\\3(1)-y=5\\3-y=5\\-y=5-3\\-y=2\\y=-2\\

The solution is x=1 and y=-2

Keywords: Linear equations, Solution set

Learn more about linear equations at:

  • brainly.com/question/561665
  • brainly.com/question/537998

#LearnwithBrainly

8 0
3 years ago
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