Element X is a radioactive isotope such that every 51 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 7500 grams, how long would it be until the mass of the sample reached 6900 grams, to the nearest tenth of a year?

Answer:

[tex]4^{6}[/tex]  

4096

Step-by-step explanation:

i tried

Answer:

[tex]4^{6}[/tex]

Step-by-step explanation:

4 x 4 x 4 x 4 x 4 x 4 it's really just counting how many 4's there are. In this case there are 6 and the number being repeated 6 times is 4 so we only put it as [tex]4^{6}[/tex]. I know I'm late just wanted to answer :'D

Answer:

y = -3x + 4

Step-by-step explanation:

3y + 9x = 12

subtract 9x

3y = 12 - 9x

divide by 3 on both sides

y = 4 - 3x

or

y = -3x + 4

Answer:

y=-3x + 4

Step-by-step explanation:

Convert standard form equation into y-intercept form

3y +9x=12

3y= 12-9x

Divide both sides by 3 to isolate the y (you can flip the equation if it is easier)

y= -3x+4

hope this helps and have a great day :)

Answer:

20.625 ft²

(hope this is right :)

Answer:

(2,5)

Step-by-step explanation:

i believe this is the answer because when you graph this equation, (2,5) lies in the equation

Answer:

1 4/15 balls

Step-by-step explanation:

From the question, we are told that:

Chase caught 2/3 of the balls hit to left field.

Ryan caught 3/5 of the balls hit to right field.

The Lowest common denominator for both fraction is given as 15

Hence, the equivalent fractions for each boy is calculated such that the denominators of both fraction is 15

For Chase:

We Multiply both numerator and Denominator by 5

2 × 5 /3 × 5 = 10/15

2/5 = 10/15

For Ryan

We Multiply both numerator and Denominator by 3

3 × 3 /5 × 3 = 9/15

3/5 = 9/15

The total amount of the balls they both caught is:

10/15 + 9/15

= 19/15 = 1 4/15

Answer:

4x-3y=8

Simplifies to x=3/4y+2

2x+5y=-9

Simplifies to -5/2y+-9/2

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight,  we have to find the sum of length of both edges

Let [tex]R_E[/tex] be the distance of route around edges

[tex]R_E = 80+60 = 140\ meters[/tex]

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

[tex]H^2 = P^2 + B^2[/tex]

In the given scenario

P = 60

B = 80

Now

[tex]H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters[/tex]

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

[tex]= 140-100 = 40\ meters[/tex]

Hence,

The route across the park is 40 meter shorter than the route around its edges.

Answer: 2 1/4

Step-by-step explanation:

From the question, we are informed that a baker made 9 cupcakes which are to be shared equally by four people.

To get the number of cupcakes that each person gets, we divide the total number of cupcakes by the total number of people. This would be:

= 9 ÷ 4

= 2 1/4 cupcakes

Therefore, each person gets 2 1/4 cupcakes.

Answer:

Choice B: Carbon would not be recycled and added to soil, interrupting the cycle.

Step-by-step explanation:

Without the help of decomposers, the ones who break the dead organisms down, the carbon would be locked inside the dead organism. Then carbon wouldn't be able to get recycled through the air. The only way it could be released would be through combustion.

Answer:

40%

Step-by-step explanation:

2/5 can be converted to 40/100 by multiplying the numerator and denominator by 20.

40/100 is equivalent to 40%.

Answer:

you did not attach a paper

Step-by-step explanation:

sorry I wish I could help

Answer: 2x2 +3x+5

Step-by-step explanation:

Answer: 20 hours

In 1 hour it would make 2 kilograms so 40/2 is 20

Answer: 20 hours

Step-by-step explanation:

Multiply the 4 hours and 8 kg by 5 individually and you’ll get 40kg and 20 hours

Answer:

C. (3,-2)

Step-by-step explanation:

Answer:

-59

Step-by-step explanation:

3(3)+2(2)-6(12)

Answer: -59

Step-by-step explanation:

3a + 2b - 6c

a = 3  b = 2  c = 12

Substitute

3 (3) + 2 (2) - 6 (12)

9 + 4 - 72

13 - 72

-59

Answer: D. 2

Step-by-step explanation:

-3t + 6 = 0

1. Subtract 6 from each side

-3t + 6 - 6 = 0 - 6

-3t = -6

2. Divide each side by -3 to isolate t and get the answer to the equation

-3t/-3 = -6/-3

t = 2

You can check your answer by plugging your calculated value back into the equation and evaluating to find that 0 = 0.

Answer:

it's 63

explanation

2.9817

-

631

__________

631.9817

Because 2-1=1

Answer:

D: {1,-5}

R: {7,-4}

Step-by-step explanation:

Given :

A number 789.13 .

To Find :

7.74% of 789.13 .

Solution :

Let, 7.74% of 789.13 is x.

So,

[tex]x = \dfrac{789.13\times 7.74}{100}\\\\x = \dfrac{6107.8662}{100}\\\\x = 61.08[/tex]

Therefore, 7.74% of 789.13 upto 2 decimal place 61.08 .

9514 1404 393

Answer:

Step-by-step explanation:

The hash marks indicate that the lower triangle is isosceles. That means its base angles are equal. The external angle marked 40° will be the sum of those two equal angles, so ...

  x + x = 40°

  x = 20°.

x is one of the two acute angles in the right triangle. The other is y, which is the complement of x.

  y = 90° -x = 90° -20°

  y = 70°

_____

Additional comments

The angle marked 40° is one of a "linear pair". The other angle in that pair is the obtuse angle in the lower triangle. Its measure is 180°-40° = 140°. The two base angles of that isosceles triangle are both x°, so you have ...

  x° +x°+140° = 180°

  2x° = 180° -140° = 40°

That is, the sum of the two angles will be equal to the external angle marked 40°. The relevant theorem says "an exterior angle is equal to the sum of the remote interior angles." Remembering this is a useful shortcut, so you don't have to find the third interior angle, which is 140° in this case.

Where’s the image? I don’t see it

Answer:

33 cars

Step-by-step explanation:

The computation of the number of black cars in total is shown below:

Given that

There is a car dealership of 240 cars

And,17.5% of them are wrecked

So, the wrecked cars is

= 17.5% of 240 cars

= 42

Now the number of other cars would be

= 240 - 42

= 198

And it is mentioned that there are other six colors lot

So the number of black cars would be

= 198 ÷ 6

= 33 cars

Answer:

12 units

Step-by-step explanation:

h=2x-6

18=2x-6

24=2x

12=x

Answer:

is in the point x = 1, y = -5

Step-by-step explanation:

The absolute minimum of a graph is the point that is the most far below the x-axis.

Such that if we draw a horizontal line parallel to this point, this line should not intersect the graph in another point. It is usually associated with the lowest value of the variable y.

In the graph, we can see that in the extremes we have dots, so the graph does not continue.

Then we can be sure that the absolute minimum is at the bottom of the large curve, that is in the point x = 1, y = -5

Answer: x = 8/4 = 2

12(2) + 4(6) = 24 + 24 = 48 = 6*8

Step-by-step explanation:

$12X + $6(4) = (X+4)*$8

12X + 24 = 8(x+4)

12x + 24 = 8x + 32

12x + 24 - 8x - 32 = 0

4x - 8 = 0

4x = 8

x = 8/4 = 2

41.803 is 42 rounded to the nearest whole number because when you go past .5 you round to the nearest highest number, but when your below .5 then you round to the nearest lowest number.

Answer: 41.803 rounded to the nearest whole number would be 42. Whenever you go over .5 you round to the nearest highest number. For example, 41.6 would also be rounded to 42.

I think the answer is A. 3.

B. no, to big a number

C. no, to small a number

D. no, again, too big a number.

Have a nice day and hope this helps!