In the late nineteenth century, the scientist Marie Curie performed experiments that led to the discovery of radioactive substances. A radioactive substance is a substance that gives off radiation as it decays. Scientists describe the rate at which a radioactive substance decays as its half-life. The half-life of a substance is the amount of time it takes for one-half of the substance to decay. Radium has a half-life of 1600 years. How much radium will be left from a 1000-gram sample after 1600 years?

Answers

Answer 1

Answer:

Step-by-step explanation:

Half life is the time taken by a radioactive substance to reduce of half of its original size

If the half life of radium is 1600, this means that the original radioactive substance N0 have reduced to N0/2 after 1600 years

if we are given N0 = 1000grams

The amount of the substance that will remain after 1600 years will be N0/2 i.e 1000/2 = 500g

Hence 500 grams of radium will be left after 600years


Related Questions

Solve for Y
2x + y/3 = 4

a. y = 6x + 12
b.y = -6x + 12
C. y = (x - 12
d. y = -6x - 12
(Will Mark Brainliest)

Answers

[tex]\huge{\boxed{\sf{y= 12 - 6x}}}[/tex]

Step by step explanation:

Step 1:

[tex]2x + \dfrac{y}{3} = 4 [/tex]

Step 2:

[tex] \implies \dfrac{2x \times 3 + y}{3} = 4[/tex]

Let take LCM

Step 3:

[tex]\implies \dfrac{6x + y}{3} = 4[/tex]

Step 4:

[tex]\implies6x + y = 4 \times 3[/tex]

Step 5:

[tex]\implies6x + y = 12[/tex]

Step 6:

[tex]\blue{\implies y= 12 - 6x✓}[/tex]

So option d is correct

thank you❤️

Given triangle ABC, determine the location of A' after a translation 2 units left and a reflection over the x-axis.

Answers

Answer:

(0,-3)

Step-by-step explanation:

left 2 puts you at (0,3) and flipping over x axis makes the y value negative, so it's (0,-3)

Gavin likes biking. This week his goal is to bike about 65 total miles over four days. Each day he wants to ride 1.5 times as far as he rode the day before. How far should he ride on each of the four days. Write the expressions for the distance Gavin needs to bike each day. Then relate these expressions to create an equation that represents Gavin's situation.

Answers

Step-by-step explanation:

let the first-day ride be x

Then the second-day ride will be =1.5 x

The third-day ride will be=1.5(1.5x)      

The Fourth-day ride will be=1.5*1.5(1.5x)  

hence for the four days the distance covered is

65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x

65=x+1.5x+2.25x+3.375x

65=8.125x

divide both sides by 8.125 we have

x=65/8.125

x=8mile

the first-day ride be x=8miles

the second-day ride will be =1.5 x =1.5*8= 12miles

The third-day ride will be=1.5(1.5x) = 18miles

The Fourth-day ride will be=1.5*1.5(1.5x) = 27miles

Container I currently contain 4.6 gallons of water and is being filled at a rate of 1.2 gallons per minute. Container II currently has 54.6 gallons of water and is being drained at a rate of 0.8 gallons per minute. After how many minutes will both containers have the same amount of water?

Answers

Answer: After 25 minutes both containers will  have the same amount of water.

Step-by-step explanation:

Let x = Number of  minutes

y= Quantity of water

For container I, Quantity of water will be :

y =  4.6+ 1.2x

For container II, Quantity of water will be :

y =  54.6-0.8x

According to the question, we have

4.6+ 1.2x = 54.6-0.8x

Add 0.8x on both sides and subtract 4.6 on both sides , we get

1.2x+8x = 54.6-4.6

⇒ 2x = 50

Divide both sides by 2, we get

x= 25

So after 25 minutes both containers will  have the same amount of water.

Step-by-step explanation:

A library has an initial late fee of $0.50 cents and charges an additional $0.05 per day. What is the rate of change?

Answers

Answer:

$0.05 per day

Step-by-step explanation:

So we know that the initial late fee would be $0.50. For every additional day, the fee increases by $0.05. The rate of change would be the rate at which the cost of the fee changes.

Note, the initial value does not affect the rate of change.

The initial late fee of $0.50 would not affect the rate of change, so we can ignore that piece of information.

Since the fee increases by $0.05 daily, $0.05 per day would be the rate of change.

I hope this helps.

Which equations have infinitely many solutions? select all the correct
A x - 3x =-2x + 4
B x = 1/3 (3x) = 0
C 1/3x - 3 = 4 + 2x
D x = 1/3x + 2=0

Answers

Answer:

The answer is A, "x - 3x =-2x + 4"

Step-by-step explanation:

Hope This Helps

Answer:

B and D

Step-by-step explanation:

Let U = {q, r, s, t, u, V, W, X, y, z}
A = {q,S, U, W, y}
B = {q, s, y, z)
C = {v, w, x, y, z)
List the elements in the set.
A'UB

Answers

Answer:

b

Step-by-step explanation:

because I am good at this

y=-15+3x
solve for x

Answers

X= 5 hope this helps :)

Answer:

x=5+1/3y

Step-by-step explanation:

y=-15+3x

-3x=-15+y

Divide both sides of the equation by -3

x=5+1/3y

an angles measure is 9 degrees more than 2 times the measure of its supplement. Find the measure of the angle

Answers

Answer:

The angle would be 123°.

4c = d for c
Solve for indicated variable.

Answers

Answer:

c=1/4d

Step-by-step explanation:

Answer:

c = d/4

Step-by-step explanation:

solve this literal equation using inverse operations:

4c = d

/4    /4

c = d/4

Given the formula below, solve for x

Answers

Answer:

Step-by-step explanation:

Sorry but please give detailed question

where’s the formula..?

what is the value of the 4 in 3.954

Answers

I believe it is .004 or 4 thousandths

Please help me i can’t get this one right. someone help me please if you know how to do this.

Answers

Answer:

it’s going up by 3 boys per girl!

Step-by-step explanation:

Correct me if I’m wrong by commenting down below.

Which equation shows a proportional relationship between x and y? ​

Answers

Answer: y = 4x

Step-by-step explanation:

A proportional relationship is function that is a means of ratio.

Say, x equals 12, then y would equal 48. Or x = 5, then y = 20. Etc

Y=4x I’m pretty sure hope that helps

Round 7.3065 to 2 decimal places

Answers

Answer:

im pretty sure its 7.31

Kasey colloectes 85 out of 120 pokimon cards. Write this as a decimal.

Answers

Answer:

About 71%.

Step-by-step explanation:

Divide 85 by 120.

It's .708333333 (3 repeating.)

Mr. Tonroy hired Michael to make balloon animals for the children who visited a carnival. Michael was paid a base fee of $100.00 plus a fee of $1.50 per balloon animal made. If Michael was paid $295.00, how many balloon animals did Michael make?

Answers

Answer:

130 balloons

Step-by-step explanation:

295-100= 195

195/1.5=130

The required number of balloons animals Michael made is 130

Given that,
Mr. Tonroy hired Michael to make balloon animals for the children who visited a carnival. Michael was paid a base fee of $100.00 plus a fee of $1.50 per balloon animal made. If Michael was paid $295.00, how many balloon animals did Michael make is to be determined

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number of the balloons be x,
According to the question,
295 = 100 + 1.5x
1.5x = 295 - 100
1.5x = 195
x = 195 / 1.5
x = 130

Thus, the required number of balloons animals Michael made is 130.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

The table shows the number of cups of liquid and the number of smoothies made.

Cups of Liquid 2 6 8 12
Number of Smoothies 5 15 20 30How many smoothies can be made from 1 cup of liquid?
Select one:

5 cups

2.5 cups

2 cups

10 cups

Answers

Answer:

2.5 cups

Step-by-step explanation:

If (8^9)p = 8^18, what is the value of p? (4 points)

2
9
10
18

Answers

Answer:

p is 2.

Step-by-step explanation:

A taxi cab charges a pickup fee of $5.00 and $2.50 for each mile.
If you have $25 to spend on the taxi cab, how far can you ride?

Answers

Answer:

12.5

Step-by-step explanation:

y - 1 = -4 (x + 1)



Please help thanks so much!

Answers

Answer:

[tex]y = - 4x - 3[/tex]

Step-by-step explanation:

[tex]y - 1 = - 4(x + 1) \\ y - 1 = - 4x - 4 \\ y = - 4x - 3[/tex]

Examine the operations above.

Y=-4x-3
Pls mark brainliest

What is the value of 7×7+23

Answers

Answer:

72

Step-by-step explanation:

7x7 = 49

49 + 23 = 72

PEMDAS causes the multiplication to come before the addition.

I will give BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Answer:

I think it is B :D

Step-by-step explanation:

Choose the equations that are not linear equations.

A. x/2-y^3=1
B. -x-y=2
C. x=5
D. x^2+y=4

Answers

D. X^2+y=4 is NOT a linear equation.

Step-By-Step Explanation:

The exponent in x^2 indicates this is a polynomial equatuon, because when graphed, it doesn't form a line.

Answer:

hello I'm getting free points

Which of the following statements correctly compares the two numbers?
1.025 5.072

6.403 > 6.43

8.962 < 8.692

Answers

Answer:

do you still need help ??

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 4200 seats. The students filled 84% of the seats in the theater. How many 6th graders went on the trip?

Answers

You need to find 84% of 4200 to get the amount of students.  First change the percent to a decimal, and multiply 0.84 x 4200.

There were 3528 total students at the theater.

3528 students went on the trip,this is because 84% of 4200= 3528

it’d be awesome if someone new the answer for number 6

Answers

point slope form: y-y1 = m(x-x1)
slope formula: m = y2-y1/x2-x1

substitute in for slope formula: -3 -2/0-4 = -5/-4 = 5/4
so the slope is 5/4

now pick any point (i’m using (4,2)) and plug it it in with the slope into point slope form

y-2 = 5/4(x - 4)

now solve

y-2 = 5/4x - 5
y = 5/4x - 3

ANSWER: y = 5/4x -3

Answer:

Step-by-step explanation:

3 - 2 / 0-(-4)

m= slope =1/4

y1  - Y2= m (x1- x2)

y=(1/4) x+ 3

slope intercept y=(1/4) x+3

point slope  y-3=(1/4)(x-0) or y-2=(1/4)X+4

standard form (1/4) x-y= -3

what decimals round to 15 when rounding to the nearest whole number?​

Answers

Answer:

14.5, 14.6, 14.7, 14.8, 14.8, 14.9, 15.0, 15.1, 15.2, 15.3, 15.4

Step-by-step explanation:

Which one of the following words is a pronoun A) Two B) Him C) Boys D) Go

Answers

Answer:

I believe it is Him.

Step-by-step explanation:

Answer:

B) Him

Step-by-step explanation:

Him refers to someone else, and that is exactly what a pronoun does!

Margie order 120 pizzas for the school pizza party one tenth of the pizzas were cheese how many cheese pizzas she ordered

Answers

Answer:

12

Step-by-step explanation:

Hope This Helps!

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