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Alchen [17]
3 years ago
12

Element X is a radioactive isotope such that every 11 years, its mass decreases by half.

Mathematics
1 answer:
Mkey [24]3 years ago
7 0

Answer:

27

Step-by-step explanation:

It would take about 25-27 years.

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Consider the linear system of equations. y = –x + 9 y = 0.5x – 6 If the solution is (a,–1), what is a? a =
Nadusha1986 [10]

Answer:

The value of a is 10.

Step-by-step explanation:

We are given with the following pair of the linear system of equations below;

y = -x+9  and   y = 0.5x-6.

Also, the solution is given as (a, -1).

To find the value of 'a', we have to substitute the solution in the equation because it is stated that (a, -1) is the solution of the given two equations.

So, the x coordinate value of the solution is a and the y coordinate value of the solution is (-1).

First, taking the equation;

y = -x+9

Put the value of x = a and y = -1;

(-1) = -(a) + 9

a = 9 + 1 = 10

Now, taking the second equation;

y = 0.5x-6

Put the value of x = a and y = -1;

(-1) = 0.5(a)-6

0.5a = 6 - 1

0.5a = 5

a=\frac{5}{0.5}

a = 10

Since we get the value of a = 10 from the equations, so the value of a is 10.

8 0
3 years ago
Solve by completing the square? Could you please work it out step-by-step?
DaniilM [7]
16 n^2 -10n + 129 = 8n^2 -8

We collect the terms:
8n^2 -10n + 137 = 0

The steps for completing the square:

1) Move the "non X" (or "non N") term to the right:

8n^2 -10n  = -137

<span>2)<span> Divide the equation by the coefficient of N² which in this case is 8
n^2 -1.2n = </span></span><span><span>-17.125 </span>

3) Take the coefficient of "N"; divide it by 2; square it; add it to both sides of the equation.
-1.2 / 2 = -.6
-.6^2 = .36

</span>
n^2 -1.2n +.36 = <span>-17.125 +.36

Take the square root of both sides:</span>
(n-.6)*(n-.6) = sq root( <span> <span> <span> -16.765 </span> </span> </span> )
That's about as far as I can go.

4 0
3 years ago
Mrs. Bull needs to be 46" tall to participate in the Glenwood Christmas Laser Tag Party. How many feet tall does
UkoKoshka [18]

Answer:

3.8333... ft

Step-by-step explanation:

1 ft = 12 inches

46 inches * (1 foot)/(12 inches) = 3.8333... ft

8 0
3 years ago
Read 2 more answers
One leg of a right triangle measures 6 inches. The remaining leg measures 6 sq 3 inches. What is the measure of the angle opposi
Setler79 [48]
“6 sq 3 inches “ ? Explain it briefly I’m trying to understand
7 0
3 years ago
What number gives a result of −4 when 10 is subtracted from the quotient of the number and 4?
Arisa [49]

Answer:

6

Step-by-step explanation:

8 0
2 years ago
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