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kap26 [50]
3 years ago
10

If 18 g of a radioactive substance are present initially and 9 yr later only 9 g remain, how much of the substance will be prese

nt after 12 yr?
After 12 yr there will be g of a radioactive substance.
(Round the final answer to three decimal places as needed. Round all intermediate values to seven decimal places as needed.)
Mathematics
1 answer:
kvasek [131]3 years ago
8 0

Answer:

Him hhhuuu vividly

Step-by-step explanation:

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The length of a rectangle is 4 m more than the width. If the area of the rectangle is 77 m2. How many meters long is the width o
kenny6666 [7]

Step-by-step explanation:

length = width + 4

length×width = 77

using the first in the second equation

(width + 4)×width = 77

width² + 4width = 77

now, what square or squaring factors can create this ?

we are looking for (width + a)(width + b).

we know, this is

width² + (a+b)width + ab

so, what a, b can create 4 (the factor in our actual equation) ?

1, 3 and 2, 2, if we are only looking at whole numbers.

and which of the possibilities can we use to turn 77 into a square number ?

81 is only 4 away ...

2+2 = 4.

aha !

so, we can actually say our equation is

width² + 4width + 4 = 77 + 4

and then

(width + 2)² = 81

width + 2 = 9

width = 7 m

length = width + 4 = 7 + 4 = 11 m

7 0
2 years ago
An airplane pilot can see the top of a traffic control tower at a 20 degree angle of depression. the airplane is 5,000 feet away
daser333 [38]

The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

Let the required length be x, then

\tan{20^o}=\cfrac{opp}{hyp}=\cfrac{x}{5,000}\\ \\ \Rightarrow x=5,000\tan{20^o}=1,819.85

Therefore, the height of the airplane above the tower is 1,819.85 feet.

8 0
3 years ago
Read 2 more answers
The lines passing through points (1, 1), (2, 3) and (3, 7), (2,5) on a grid would be ___<br> lines.
Harman [31]

Answer:

Step-by-step explanation:

can u be more specific on what your asking for please

5 0
3 years ago
When Factor what is the least common factor of 4 and 5
Rashid [163]
The answer is 20



Hope this helps!


4 0
3 years ago
Show how to use substitution or elimination to solve the following system of equations. Write the solution as an ordered pair.
max2010maxim [7]

Answer:

  (4, 6)

Step-by-step explanation:

<u>Substitution</u>

Using the second equation, we can substitute for y in the first equation.

  4x -(2x-2) = 10

  2x +2 = 10 . . . . simplify

  x +1 = 5 . . . . . . .divide by 2

  x = 4 . . . . . . . . . subtract 1

  y = 2(4) -2) = 6 . . . . substitute for x in the equation for y

The solution is (x, y) = (4, 6).

__

<u>Elimination</u>

Often, we like to start with both equations in standard form when we solve by elimination. That is nice, but not completely necessary.

We can eliminate the y-variable by simply adding the two given equations.

  (4x -y) +(y) = (10) +(2x -2)

  4x = 8 + 2x . . . . . collect terms. The y-variable has been eliminated.

  2x = 8 . . . . . . . . . subtract 2x

  x = 4 . . . . . . . . . . divide by 2

Y can be found using the second equation.

  (x, y) = (4, 6)

__

We could have eliminated the x-variable by multiplying the second equation by 2, then adding the two equations.

  (4x -y) +2(y) = (10) +2(2x -2)

  y = 6 . . . . . . . . . subtract 4x from both sides. The x-variable has been eliminated.

Now, x can be found using either equation.

  6 = 2x -2 . . . substitute for y in the second equation

  3 = x - 1 . . . divide by 2

  x = 4 . . . . . add 1

  (x, y) = (4, 6)

3 0
3 years ago
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