A isotope has a Half life of 1000 years. If you start with 1 kilogram of this isotope how much will remain after 400 years? 4000 years?

Answers

Answer 1

Answer:If you begin with a 1 gram sample of the isotope, at the end of 1000 years you would have. 1 gram x (12) = 12 gram would remain.

Step-by-step explanation:


Related Questions

jeff makes the generalization that a 10s fact can be broken into two 5s facts. write an equation to test his generalization

Answers

Expressions can be simplified by breaking it down into several sub expressions.

The equivalent expressions are: [tex]\mathbf{10s= 2 \times 5s }[/tex] or [tex]\mathbf{10s= 5s \times 2}[/tex] or [tex]\mathbf{10s= 5s + 5s}[/tex]

The original expression is:

[tex]\mathbf{Expression = 10s}[/tex]

Express 10s as 5s + 5s

[tex]\mathbf{10s= 5s + 5s}[/tex]

Apply distributive property

[tex]\mathbf{10s= 5s(1 + 1)}[/tex]

Add 1 + 1

[tex]\mathbf{10s= 5s \times 2}[/tex]

Rewrite as:

[tex]\mathbf{10s= 2 \times 5s }[/tex]

Hence, the equivalent expressions are: [tex]\mathbf{10s= 2 \times 5s }[/tex] or [tex]\mathbf{10s= 5s \times 2}[/tex] or [tex]\mathbf{10s= 5s + 5s}[/tex]

Read more about equivalent expressions at:

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You are an electrician working in an industrial plant. A circuit contains eight incandescent lamps connected in series across 480 volts. One lamp has burned out, and you must determine which one is defective. You have available a voltmeter, ammeter, and ohmmeter. Which meter would you use to determine which lamp is defective in the shortest possible time? Explain how you would use this meter and why.

Answers

The burnt out bulb is located between two points in the circuit that have a

discontinuity.

The meter that can determine the defective lamp in the shortest possible time is the ohmmeterThe ohmmeter can be used iteratively to determine the defective bulb because the ohmmeter checks for continuity between two points and the process is repeated to locate the burned out bulb.

Reasons:

The process and steps to determine the lamp that has burned out;

The given arrangement of the bubs = Series arrangement

Therefore;

A burn out of a bulb, causes a discontinuity by opening the circuit and to current flow.

The meter to use is that determine the defective lamp is one that checks for discontinuity, or an open circuit, which is the presence of infinite resistance, which requires a resistance meter;

Therefore, the ohmmeter (resistance meter) is the best meter to use

 

To determine the defective bulb;

Step 1: Switching off the power source or switch of the bulbsStep 2: Place the leads of the ohmmeter from one end of the circuit to after the middle bulb in the series, which is  between the 4th and the 5th bulb Step 3: Check for continuity on the ohmmeterStep 4: If there is continuity, repeat the test on the other half of the circuit.Step 5: If there is discontinuity, repeat the test across each pair of adjacent bulbs within the first half, to find the burnt out bulb.Replace the bulb across which there is a discontinuity and switch on the power source to test the the circuit.

Learn more here;

https://brainly.com/question/14483320

Complete the table of values

Answers

Answer:

x = 0 —> y = 0 —> ( 0 , 0 )

x = 1 —> y = – 2 —> ( 1 , – 2 )

x = 5 —> y = – 10 —> ( 5 , – 10 )

x = -3 —> y = 6 —> ( -3 , 6 )

Step-by-step explanation:

x = 0 —> y = -2x = -2(0)=0

x = 1 —> y= -2x = -2(1) = -2

x = 5 —> y = -2x = -2(5) = -10

x = -3 —> y = -2x = -2(-3) = 6

I hope I helped you^_^

HIII CAN SOMEONE PLZ HELP ME WITH THE PIC I ATTACHED. IM DESPERATE

Answers

I CANT SEE THE PICTURE PLEASE TELL ME WHERe I CAN SEE OTher PIC

A runner is 7/8 from the finish line.

Answers

Answer:

7th / 7th place

Step-by-step explanation:

7 out of eight/ 7/8 would be 7th place because 1 2 3 4 5 6 7 8.

someone plzz help me plzzzzzzz

Answers

Answer:

5

Step-by-step explanation:

W=10 the way you would get is is by multiplying 2x3w/2=2x15 then 3w=30, the. Divide both sides with 3 and you get w=10

Which figure does not have two pairs of parallel sides? (check picture for question and options)​

Answers

A trapezoid does not have two pairs of parallel sides

Answer:

B. Trapezoid

Step-by-step explanation:

1. Pretending Segmant C is a line

2. Pretending Segmant D is a line.

3. Line C and Line D will eventually intersect; see attachment.

e. If a basketball player made 72 out of 85 free throw attempts, how many could she expect to make and 200 attempts

Answers

Answer:

170

Step-by-step explanation:

72/85=.85

.85x200=170

170 out of 200 attempts

Can someone please explain this if you can please tell how to do a future problem like this on

Point S is between points R and T. If RS = 16, ST = 2x, and RT = 5x + 10, what is the length of RT? Hint: draw a diagram with point S between points R and T. Then label it.

20
40
211.67
2

Answers

Answer:

Down below

Step-by-step explanation:

I hope this can help

I provided a url

https://www.lcps.org/cms/lib4/VA01000195/Centricity/Domain/3768/Unit%202%20Day%202%20Notes.pdf

in the diagram mACB =65

Answers

Answer:

x = 9.3

Step-by-step explanation:

Find the amplitude of y = -2 sin x. (2 points)
Group of answer choices

-2π



2

pi/2

Answers

Answer:

amplitude= 2

Step-by-step explanation:

The amplitude of this sine wave is 2 denoted by the coefficient -2 in front of the sin(x).  The negative of the coefficient denotes that the sine wave is the opposite of the standard sine wave.

Draw a possible function that satisfy the given domain and range

Answers

9514 1404 393

Answer:

  see attached.

Step-by-step explanation:

Your graph demonstrates a possible function, but it has the domain and range swapped.

__

The domain is the horizontal extent, so your line must end at x=-9 on the left and x=6 on the right.

The range is the vertical extent, so the function must extend from -4 at the bottom to +8 at the top.

The attachment shows a linear function with those characteristics.

Scientists use the rule of 70 to calculate human
population growth.
According to the rule of 70, what is the doubling time
for a nation with a population growth rate of 5% per
year?

Answers

Answer:

huStep-by-step explanation:

jh

Can someone please solve??

Answers

This is what I got Hopefully I’m right

3x2 + 2y, when x= 3 and y=-3

Answers

Answer: This gives 3x^2 – 2y exceeding 2x^2– 3y by 17 - 3 = 14

Step-by-step explanation: HOPE THIS HELPPSSS ! <3333

Answer:

21

Step-by-step explanation:

Could someplease explain the whole problem? For the first part my the answer I got was x= .618, -.618, and [tex]\frac{\sqrt[1+-]{5} }{2}[/tex]

Answers

9514 1404 393

Answer:

  a) x = (√5 -1)/2 ≈ 0.618034

  b) 1/x = (√5 +1)/2 ≈ 1.618034

Step-by-step explanation:

Given:

  x/(1 -x) = 1/x

Find:

  Exactly, and as a decimal approximation, ...

  a) x, using the quadratic formula

  b) 1/x

Solution:

a) We can multiply the given equation by x(1 -x) to obtain ...

  x² = 1 -x

  x² +x -1 = 0 . . . . . . add x-1

The coefficients for use in the quadratic formula are a=1, b=1, c=-1. The solution using the quadratic formula is ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-1\pm\sqrt{1^2-4\cdot1\cdot(-1)}}{2\cdot1}=\dfrac{-1\pm\sqrt{5}}{2}[/tex]

We are only interested in the positive solution, which is ...

  [tex]\boxed{x=\dfrac{\sqrt{5}-1}{2}\approx0.618034}[/tex]

__

b) The quadratic we developed in the first part can be rearranged like this:

  x² +x = 1 . . . . . . add 1 to both sides

  x(x +1) = 1 . . . . . factor out x

  x +1 = 1/x . . . . . .divide by x

Then to find the value of 1/x, we simply need to add 1 to the value of x we have:

  [tex]\dfrac{1}{x}=\dfrac{\sqrt{5}-1}{2}+1=\dfrac{\sqrt{5}-1}{2}+\dfrac{2}{2}=\dfrac{\sqrt{5}-1+2}{2}\\\\\boxed{\dfrac{1}{x}=\dfrac{\sqrt{5}+1}{2}\approx1.618034}[/tex]

PLEASE HELP!!!!!
will mark brainliest!!!!!

Answers

Answer:

fx =1; then fx =2; then fx =4

Step-by-step explanation:

then plug the coordinates in as x is horizontal bar in top right then the fx

write the factors of 20 that are not also factors of 12​

Answers

5 & 10 and 20 are factors of 20 that are also not factors of 12

Hope this helped you- have a good day bro cya)

The factors of 20 that are not also factors of 12​ are 5 and 10.

What is a factor?

A factor exists as a number that divides the assigned number without any remainder. The factors of a digit can either be positive or negative. The factors of any number exist as finite.

To estimate the factors of 20 and 12

To estimate the factors of 20

Find the prime factors of 20 are 2, 2, and 5.

Multiply the prime factors of 20 are 4, 10.

Adding prime factors 2, 5

Add 1 and the number 20 itself 1, 20.

The factors of 20 are 1, 2, 4, 5, 10, and 20.

To estimate the factors of 12

Find the prime factors of 20 are 2, 2, and 3.

Multiply the prime factors of 12 are 4, 6.

Adding prime factors 2, 3

Add 1 and the number 20 itself 1, 12.

The factors 12 are 1, 2, 3, 4, 6, and 12.

Therefore, 5 and 10 factors of 20 that are not also factors of 12​.

To learn more about prime factors refer to:

https://brainly.com/question/340559

#SPJ2

HELP ME 10 POINTS


A.the change in minutes for every change of one degree Fahrenheit

B. The change in degrees Fahrenheit for every change of one minute

C. A temperature of 110° F after 1 minute

D. The temperature the oven starts at

Answers

Answer:

the answer is c

Step-by-step explanation:

the answer is C because it doesn't go up 110 Fahrenheit every minute

Juanita borrowed $600 to purchase a new computer. She was charged 7% interest for two years. She used the simple interest formula to find the interest.

I = 600(7)(2)

What error did Juanita make and how will her error affect the interest she calculates? Explain.

Answers

Answer:

See below

Step-by-step explanation:

Correct way of using the formula:

I = 600*(7/100)(2) = 84

The error was using 7 instead of 7/100 or 0.07 as percent value. She would get $8400 instead of $84.

Given :-

Juanita borrowed $600 .Rate of Interest = 7% .Time = 2yrs .

To find :-

Error made by her.

Answer :-

As we know that the formula for Simple interest is ,

SI = P*R*T / 100

Substitute ,

I $600* 7 * 2 / 100 I = $ 84 .

So here she did not write 7 % as 7/100 instead she wrote 7 .

Which graph represents the equation 12 = 3x + 4y? Explain how you know.

Answers

Answer:

Solve for x: x = 4 - 4y/3

Solve for y: y = 3 - 3x/4

X intercept(s): (4, 0)

Y intercept(s): (0, 3)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

what values are equvalent to 5 and 7/8

Answers

Answer:

[tex]5→5/1[/tex]

[tex]7/8→14/16[/tex]

Thanks!!!!

Kyle bought 20 pound pumpkin for $5.95 his brother bought a 5 pound pumpkin for $2.29 how much more did Kyle pay for his pumpkin

Answers

Answer:

3.66

Step-by-step explanation:

 5.95

-2.29

3.66

the table shows ordered pairs of the function y=8-2x. what is the value of y when x=8

Answers

Answer:

y=8-2×8(the value of x)

y=8-16

y=-8

Answer:

-8

Step-by-step explanation:

Substitute:

y = 8 - 2(8)

multiply:

y = 8 - 16

subtract:

y = -8

The person above me should get credit, they answered first

Your Welcome!

I really need help if you’re not 100 percent sure about the answer don’t comment a random answer

Answers

Answer:

5 1/7

Step-by-step explanation:

pls mark brainliest :))

solve the equation for y and then graph it. 9y-x=18

Answers

Answer: 2+ x/9

graphed

x  y

0 2

9 3

Step-by-step explanation:

Write an equation for the line , in point slope form that passes through the following. points: (5, - 3) (- 2, 6)

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required equation is :

[tex]y + 3 = - \dfrac{9}{7} (x - 5)[/tex]

[tex] \huge \boxed{ \mathfrak{Explanation}}[/tex]

Let's find the slope (m) of the line :

[tex] \mathrm{ \dfrac{y2 - y1}{x2 - x1} }[/tex]

[tex] \mathrm{ \dfrac{6 - ( - 3)}{ - 2 - 5} }[/tex]

[tex] \dfrac{6 + 3}{ - 7} [/tex]

[tex] - \dfrac{9}{7} [/tex]

now, let's find the equation in point slope form :

[tex] \mathrm{y - y1 = m(x - x1)}[/tex]

[tex]y - ( -3 ) = - \dfrac{ 9}{7} (x - 5)[/tex]

[tex]y + 3 = - \dfrac{ 9}{7} (x - 5)[/tex]

or it can be more simplified as :

[tex]7(y + 3) = - 9(x - 5)[/tex]

[tex]7y + 21 = - 9x + 45[/tex]

[tex]9x + 7y = 45 - 21[/tex]

[tex]9x + 7y = 24[/tex]

[tex]9x + 7y - 24 = 0[/tex]

I hope it helped ~

67. If mn + p = m + 3n, what is the value of m when
n = 4 and p = 6? MP 2
A -2
B
2
C 3
D 3.6
O E 6

Answers

Answer:

2

Step-by-step explanation:

mn + p = m + 3n, n = 4 and p = 6

m(4)+6=m+3(4)

4m+6=m+12

4m=m+6

3m=6

m=2

Answer:

B) 2

Step-by-step explanation:

Step 1: Plug in the values of n and p.

[tex]m(4) + 6 = m + 3(4)[/tex] [tex]4m + 6 = m + 12[/tex]

Step 2: Subtract m from both sides.

[tex]4m + 6 - m = m + 12 - m[/tex] [tex]3m+6=12[/tex]

Step 3: Subtract 6 from both sides.

[tex]3m + 6 - 6 = 12 - 6[/tex] [tex]3m = 6[/tex]

Step 4: Divide both sides by 3.

[tex]\frac{3m}{3} = \frac{6}{3}[/tex] [tex]m = 2[/tex]

Step 5: Check if solution is correct.

[tex](2)(4)+(6)=(2)+3(4)[/tex] [tex]8 + 6 = 2 + 12[/tex] [tex]14 = 14[/tex]

Therefore, the answer is B) 2.

solve each problem using picturesand using a number sentence involing division

Answers

Answer:

Sorry, but I'm not seeing the question to solve.

Did you mean to attach any pictures?

300 x 10 explain step by step like that I did this now please

Answers

3000

Step-by-step explanation:

when you multiply by a ten (10, 100, 1000, etc.), just add a zero for each zero. it's the same when you divide: for every zero in the ten, you remove a zero.

Answer:

3000

Step-by-step explanation:

All you have to do is add one zero which is very simple so add a zero and you get your answer

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