given line segment jl with j(8 -8) and l(-16 -2) find the coordinates of K if K divides line segment JL two-thirds of the way from J to L

Answer:

The amount of Polonium-210 left in his body after 72 days is 6.937 μg.

Step-by-step explanation:

The decay rate of Polonium-210 is the following:

[tex] N(t) = N_{0}e^{-\lambda t} [/tex]     (1)

Where:

N(t) is the quantity of Po-210 at time t =?

N₀ is the initial quantity of Po-210 = 10 μg

λ is the decay constant  

t is the time = 72 d  

The decay rate is 0.502%, hence the quantity that still remains in Alexander is 99.498%.    

First, we need to find the decay constant:

[tex] \lambda = \frac{ln(2)}{t_{1/2}} [/tex]    (2)

Where t(1/2) is the half-life of Po-210 = 138.376 days

By entering equation (2) into (1) we have:

[tex] N(t) = N_{0}e^{-\frac{ln(2)}{t_{1/2}}*t}} = 10* \frac{99.498}{100}*e^{-\frac{ln(2)}{138.376}*72} = 6.937 \mu g [/tex]    

Therefore, the amount of Polonium-210 left in his body after 72 days is 6.937 μg.  

I hope it helps you!  

Answer:

4

Step-by-step explanation:

Hi so basically you just convert the inches to decimals so

0.5 x 0.5 x 0.25 = 0.0625

Use a calculator to convert 0.0625 into fraction which is [tex]\frac{1}{16}[/tex]

Multiply [tex]\frac{1}{4}[/tex] by 3 = [tex]\frac{1}{64}[/tex]

Then multiply [tex]\frac{1}{16}[/tex] by [tex]\frac{1}{64}[/tex] = 4

Soo that was probably very confusing, but I hope it helps! :)

Plz click the Thanks button, I rrly appreciate it!

Answer:

Step-by-step explanation:

We assume in this context that a "1/4 unit cube" is a cube that is 1/4 unit on a side. When the "unit" is "inches", then the "1/4 unit cube" is a cube that is 1/4 inch on a side.

It should not take too much thought to realize that a dimension that is 1/2 = 2/4 inches will be 2 cubes long. A dimension that is 1/4 inch will be 1 cube long.

Then the 1/2 by 1/2 by 1/4 prism will have dimensions in "cubes" of ...

  2 cubes × 2 cubes × 1 cube

As with any rectangular prism volume calculation, the volume is the product of the dimensions:

  V = LWH = (2)(1)(2) = 4 . . . cubes

_____

For this prism, it should not be too difficult to see that if you stack 2 smaller cubes on top of two smaller cubes, the overall dimensions of that will be 1/2 inch wide by 1/2 inch high by 1/4 inch deep.

_____

Additional comment

Which dimensions you call length, width, and height are irrelevant, as each is interchangeable with any other in the formula for volume. Here, I have elected to call height the vertical dimension, length the left-right horizontal dimension, and width the front-back dimension. You are welcome to choose an assignment of names to dimensions that suits your taste (or that of your grader).

Answer:

C Side ZX

Because ZX is a reflection of CD

Answer:x=8

Step-by-step explanation:

To write 5/11 as a decimal you have to divide numerator by the denominator of the fraction. We divide now 5 by 11 what we write down as 5/11 and we get 0.45454545454545. And finally we have: 5/11 as a decimal equals 0.45454545454545.

Answer:

206

Step-by-step explanation:

I put it in a calculator

Answer:

206

Step-by-step explanation:

3(5+3)^2+14

3(8)^2+14

3(64)+14

194+14

=206

Answer:

I think its (0,-3)

Step-by-step explanation:

I took the coordinates you gave me and placed they X axis where the X was and put the Y axis where the Y was and got that answer

The required slope of the line is -3 for the equation y + 1 = -3(x-5) the line contains the point (5,-1).

The equation for a line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

To put the equation y + 1 = -3(x - 5) into slope-intercept form, we need to solve for y. We can do this by subtracting 1 from both sides of the equation, which gives us y = -3(x - 5) - 1. We can then distribute the -3 on the right side of the equation to get y = -3x + 15 - 1. Finally, we can simplify this to get y = -3x + 14.

In this equation, m = -3 and b = 14. We can verify that this is the correct equation by substituting the coordinates of the point (5,-1) into the equation and solving to see if the equation is true. When we substitute the values into the equation, we get -1 = -3(5) + 14, which is true.

Therefore, the slope of the line is m = -3.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ2

Answer:

14 miles

Step-by-step explanation:

Isaac is walking 14 miles because if it is seven miles to the store, he has to walk seven miles back. Seven plus seven is fourteen.

Answer:

pic is gliched for me

Step-by-step explanation:

Answer:

Perimeter:40 Area:60

Step-by-step explanation:

To find the perimeter add all the sides

15+17=32   32+8=40

To find the area it is A=1/2bh (base times height times 1/2)

A=1/2(15)(8)

A=1/2(120)

A=60

When doing the area of a triangle, think of it as finding the area of a rectagle, then cutting it in half.

Answer:

p=(t-s)/r

Step-by-step explanation:

This is an equation so all we have to do is solve backwards step by step:

rp+s=t

rp+s-s=t-s

rp/r=(t-s)/r

p=(t-s)/r

Answer:

-20

Step-by-step explanation:

Answer: The answer should be [-2 and 0]

Step-by-step explanation: Multiply 2 by each value inside the bracket. 2 times -1 is -2 and 2 times 0 is 0.

Answer: -8m^5+10m^4+9m^3-16m^2+5m

Step-by-step explanation:

I had this question on a recent test and got it right

Hope this helps! :)

Answer:

The correct answer is:

-8m^5+10m^4+9m^3-16m^2+5m

Step-by-step explanation:

I got it right on the Edmentum test.

Using y to represent number of bottles filled in x minutes, y = 250x.

This is rather basic, and I urge you to think about it so that it's very clear to you, and you will be able to do similar problems on your own in the future.

The graph will be a straight line passing through the origin (0,0).

Answer:This is rather basic, and I urge you to think about it so that it's very clear to you, and you will be able to do similar problems on your own in the future.

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

if there are two sides and are equally likey to land on the same side 100%/2 = 50% boom have a good friday

Answer:

I can't read that

Step-by-step explanation:

Complete question is;

Write each set in the indicated form.

If you need to use "..." to indicate a pattern, make sure to list at least four elements of the set.

As you answer below, remember that the natural numbers are just the counting numbers. This means that is not a natural number, and negative numbers are not natural numbers either.

(a) Roster form: {6,8,10,12,...}

Descriptive form:

(b) Descriptive form: The set of natural numbers greater than or equal to 3 and less than or equal to 6.

Roster form:

Answer:

A) Descriptive form: A set of even natural numbers that are greater than or equal to 6.

B) Roster form: {3, 4, 5, 6}

Step-by-step explanation:

A) We are given that the roster form is;

{6,8,10,12,...}

Now, the descriptive form is just a statement that describes the given roster form.

Now, we can see they are all even natural numbers and the least is 6 while after 12,we can see that the set continues.

Thus;

Descriptive form: A set of even natural numbers that are greater than or equal to 6.

B) We are given that the descriptive form is the set of natural numbers greater than or equal to 3 and less than or equal to 6.

This means the least number in the set is 3 while the highest number is 6.

Thus,the roster form is;

Roster form: {3, 4, 5, 6}

Answer:

7(x+5)-(2xy^2)

Step-by-step explanation:

"The product of 7" means multiplied by 7

"The sum of x and 5" implies addition

"minus the product of 2, x, and the square of y" means 2, x, and the square of y are all multiplied together subtracted from 7(x+5)

Hope this helps.

Answer:

do I get brainliest?

Step-by-step explanation:

cause you said you'd give brainliest

✧･ﾟ: *✧･ﾟ:*  Answer:  *:･ﾟ✧*:･ﾟ✧

✅ This question is highly inappropriate!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

Answer: 490.63

Step-by-step explanation:

Answer:

It does work.

Step-by-step explanation:

Answer:

it would be 6 and 6 since it states equal distance and it also says a few forward and a few backward. It makes it sound like this was an equal amount each way

Step-by-step explanation:

Answer:

6 steps forward and 6 steps backward

Step-by-step explanation:

If the bear ended up back at its starting position, this means that the distances forward and backward have to be the same.

Since 6 = 6, this answer is correct.

The bear would have to take the same amount of steps forward and backwards.

Answer:

if you're talking about renaming it in word form it would be a six hundred- thousand or is you're doing it in an equation its gonna be (6x10) x (10x1000)

Step-by-step explanation:

Answer:

did you say elsa lol

Step-by-step explanation:

LET IT GO LET IT GOOOOOOOOOOOO

Answer: A 71.05

B 11.7

It can be confusing but here are your answers

Answer:

n - 3

Step-by-step explanation:

Decreased always mean subtraction.

Answer:

[tex]d=5[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(7-3)^2+(7-4)^2}[/tex]

[tex]d=\sqrt{(4)^2+(3)^2}[/tex]

[tex]d=\sqrt{16+9}[/tex]

[tex]d=\sqrt{25}[/tex]

[tex]d=5[/tex]