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alex41 [277]
3 years ago
9

If the half-life of a radioactive substance is 2,800 years, then at what rate is it decaying?

Mathematics
1 answer:
vlada-n [284]3 years ago
6 0

Answer:

0.0001075

Step-by-step explanation:

The relation between halflife and rate at which it is decaying is given by

t_{\frac{1}{2} } =\dfrac{log2}{rate}

now in the above problem halflife is given as 2800 years substituting in the above equation we get the value of rate at which it is decaying to be rate=0.0001075.

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Determine the equations of the vertical and horizontal asymptotes if any for f(x)=x/x-5
Gelneren [198K]

Answer:

Horizontal Asymptote: x = 0

Vertical Asymptote: x = 5

Step-by-step explanation:

The function is given as  f(x)=\frac{x}{x-5}

<em>Horizontal asymptotes are found by equating numerator to 0 and solving for x</em>

<em>Vertical asymptotes are found by equating denominator to 0 and solving for x</em>

<em />

<u>Horizontal Asymptote:</u>

x = 0

<u>Vertical Asymptote:</u>

x - 5 = 0

x = 5

5 0
3 years ago
Learning Diagnostic
Misha Larkins [42]

Answer:

  no

Step-by-step explanation:

The given lengths do not satisfy the Pythagorean theorem:

  34² ≠ 33² +16²

  1156 ≠ 1089 +256

The given sides do not form a right triangle.

_____

<em>Alternate solution</em>

You can also compute 34² -33² = (34+33)(34-33) = 67·1 = 67 ≠ 16².

Even simpler, a Pythagorean triple will never have zero or two even numbers. The numbers (16, 33, 34) cannot be a Pythagorean triple.

7 0
2 years ago
In one game, the final score was Falcons 3, Hawks 1. What fraction and
dlinn [17]

Step-by-step explanation:

  1. 3over4 which is 75percent
4 0
2 years ago
Check each true statement about the number 7- square root 3i
kumpel [21]

Answer:

option-A

option-D

Step-by-step explanation:

We are given a complex number as

7-\sqrt{3}i

we know that whenever we have

a+bi

where

a is the real number

b is imaginary number

now, we can verify each statement

option-A:

we can see that

a=7

and

a is the real number

so, 7 will be real number

so, this is TRUE

option-B:

we know that

b=-\sqrt{3}

so, imaginary number is -\sqrt{3}

while it is mentioned square root 3 is the imaginary part of the number

so, this is FALSE

option-C:

We can see that coefficient of  i is b

and

b=-\sqrt{3}

so, this is FALSE

option-D:

we know that

'a' and 'b' are sum of real and imaginary number

so, this is TRUE

8 0
2 years ago
Read 2 more answers
Consider the system of equations {3x+4y=2 <br>{2x-4y=8<br>Which is its solution?<br><br>​
vesna_86 [32]

Answer:

Answer:

(

2

,

−

1

)

Explanation:

The quickest way is to use elimination

3

x

+

4

y

=

2

                 

+

2

x

−

4

y

=

8

−

−

−

−

−

5

x

     

=

10

⇒

   

x

=

2

Now substitute into one of the original eqns.

3

×

2

+

4

y

=

2

6

+

4

y

=

2

4

y

=

−

4

⇒

y

=

−

1

check in other eqn.

2

x

−

4

y

=

8

2

×

2

−

(

4

×

−

1

)

=

4

−

−

4

=

4

+

4

=

8

√

solns  

(

2

,

−

1

)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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