The half-life of a radioactive substance is 200 years. There are 8000 grams of the substance initially. How many grams of the substance are left after 300 years?
a) 5039.684g
b) 2828.427g
c) 3000g
d) 2000g

Answers

Answer 1

Answer:

There are 2,000 grams left after 300 years.

Step-by-step explanation:

Giving the following information:

The half-life of a radioactive substance is 200 years. There are 8000 grams of the substance initially.

First, we need to calculate the reduction of the substance each year:

Yearly reduction= 8,000/400= 20 grams per year

Now, for 300 years:

300 year reduction= 20*300= 6,000

There are 2,000 grams left after 300 years.


Related Questions

Find the slope and the y-intercepts of the equation below.

Answers

Answer: slope is -3/8  y intercept (0, 31/8)

Step-by-step explanation: use the slope intercept form y = mx + b to find slope and the y intercept

Will mark barinliest!!!!!!


Let g(x) = -2(3x + 4)(x - 1)(x – 3)2 be a polynomial function.
1. Sketch a graph of the polynomial.
2. Name all horizontal and
vertical intercepts of the graph.
3. State the end behavior of g.

Answers

Answer:

Hope this helped a little :)

Step-by-step explanation:

The all horizontal and vertical intercepts of the graph are x-intercept(s): (-4/3, 0), (1,0), (3,0) and y-intercept(s): (0,72).

The given function is g(x) = -2(3x+4)(x-1)(x-3)².

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

1) The sketch a graph of the polynomial is given below.

2) 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.

x-intercept(s):

(-4/3, 0), (1,0), (3,0)

y-intercept(s): (0,72)

3) Use the degree and the leading coefficient to determine the behavior.

Falls to the left and falls to the right

Therefore, the all horizontal and vertical intercepts of the graph are x-intercept(s): (-4/3, 0), (1,0), (3,0) and y-intercept(s): (0,72).

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

round 2577.8 to the nearest tenth

Answers

Answer:

2578

Step-by-step explanation:

Answer:

2578

Step-by-step explanation:

Use the context of a 24-pack of soda to explain why 3/8 is NOT equivalent to 4/12.

Answers

Answer:

Step-by-step explanation:

if we're going by a 24 pack of soda, 3/8 would be 9 sodas while 4/12 is a third, which would be 8 sodas

Help me i cant understand this!!!

Answers

Answer:

What grade math is this?

Step-by-step explanation:

This math is hard.

What translation vector translates A (-2, 7) to A ( 5, -1)

Answers

Answer:

(3,6)

the answer is (3,6)

HURRY PLEASE!!!!

the question had no answer choices sorry

Answers

Answer:

27°

Step-by-step explanation:

The angle at the intersection of lines q and r is 90° as they are perpendicular

117° is the exterior angle of the triangle

Exterior angle is:

117° = 90° + x as per its property

Solving the equation we get:

x = 117° - 90°x = 27°

Answer: 27

Step-by-step explanation: the angle of the chart x=27

Given the definitions of f(x) and g(x) below, find the value of (gof)(9).
f(x) = -2x + 14
g(x) = 2x2 - 6x – 2

Answers

Answer:

The value of (gof)(9)=54

Step-by-step explanation:

We are given:

[tex]f(x) = -2x + 14\\g(x) = 2x^2 - 6x - 2[/tex]

We need to find (gof)(9).

To find (gof)(9) first we will find g(f(x)) and then put x=9

Finding g(f(x))

By putting value of f(x) into g(x) i.e

[tex]g(f(x))=2(-2x+14)^2-6(-2x+14)-2[/tex]

Now putting x=9

[tex]g(f(9))=2(-2(9)+14)^2-6(-2(9)+14)-2\\g(f(9))=2(-18+14)^2-6(-18+14)-2\\g(f(9))=2(-4)^2-6(-4)-2\\g(f(9))=2(16)+24-2\\g(f(9))=32+24-2\\g(f(9))=54[/tex]

so, the value of (gof)(9)=54

Please help me I’ll give u brainliest

Answers

Answer:

its the last one

Step-by-step explanation:

because the percent you have to turn it in to a decimal.


What are the steps to solving the inequality g+2/-3<-2

Answers

Answer:

g< -4/3

Step-by-step explanation:

Add 2/3 to both sides.

g+2/-3 + 2/3 <-2 + 2/3

g< -4/3

What is the image of the point (-5, 6) after a rotation of 90°
counterclockwise about the origin?

Answers

Answer:

(-6, -5)

Step-by-step explanation:

rule for 90° counterclockwise about the origin:

(x, y) => (-y, x)

so:

(-5, 6) => (-6, -5)

Write an equation of the line with the given slope and y-intercept:
m = 2, b = negative three-fourths
a.
y = negative 2 x + three-fourths
b.
y = 2 x minus three-fourths
c.
y = negative 2 x minus three-fourths
d.
y = 2 x + three-fourths



Please select the best answer from the choices provided


A
B
C
D

Answers

C is correct because it’s reasonable

Answer:

It's B

Step-by-step explanation: I got it wrong and saw the answer.

To solve 1/3 divided by 9 James thinks of dividing a loaf of bread

Answers

Answer:

it would be 0.3 with bar notation

Step-by-step explanation:

Answer:

1/ 27

Step-by-step explanation:

Hope it helps

Jason plays the tuba 30 minutes a day. Which expression shows how many minutes Jason practiced in d days?

A) 30 + d
B) 30 - d
C) 30 ÷ d
D) 30d

Answers

D u would time I think sorry if I’m wrong

John spent 2 hours out of an 8 hour day, painting a car. What percentage of John’s day would this be equal to?

Answers

Answer:

john's just spend 2h out of 8 so thats equal 6h that means he have a 6h days

Step-by-step explanation:

2-8=6

The average person walks‍♀️the equivalent of five times around the world in their lifetime. true or false

Answers

Answer:

True

Step-by-step explanation:

Doing the math, the average person with the average stride living until 80 will walk a distance of around 110,000 miles. Which is the equivalent of walking about 5 times around the Earth, right on the equator.

Answer:

True

Step-by-step explanation:

Help I’m not sure please what is the first term in the parentheses

Answers

4x+12 so I think the answer for the parenthesis would be 12

(Pls help me ASAP i will give brainliest!! Also, pls write at least 3 sentences to explain your reasoning :) )


12,400 x one and one fifth = ________. Will the product of this equation be less than or greater than 12,400? Explain your reasoning.

Answers

Answer:

the answer is 14,880 and its bigger :D 14880>12400

Step-by-step explanation:

Answer:

14880

Step-by-step explanation:  I think that it would be greater to me because 14 is bigger than 12.

factor 6x^6+4x^4+3x^3+6x

Answers

Ok so i did it in this app

help me answer these questions asap ​

Answers

Answer:

the corc is 3/4 it means that 3 gallons leak every 4 minutes

HelPPpPp meEeeEE PlEaAsE

Answers

Answer:

The first option and the fourth one I believe to be the answers

Step-by-step explanation:

PLZ HELP ME FAST
The table shows the ratio of caramel corn to hot pepper corn in a bag. What is the constant of proportionality? (4 points)

Hot Pepper Corn Caramel Corn
5 8
10 16
15 24

Answer Options
a-3

b-8

c-1.6

d-0.625

Answers

Answer:

A-3 because 5+8=3, 10+3 doubled=16, and so on so on

Step-by-step explanation:

Answer:

It is c, 1.6

Step-by-step explanation:

To find the constant of proportionality, you divided y by x. 8 divided by 5 is 1.6. 16 divided by 10 is 1.6 24 divided by 15 is 1.6.

So therefore it is c, 1.6 :)

Help me help me gain

Answers

Answer:

Let's look at the factors of 28.

1,28

2,14

4,7

We see that 4 and 7 add to make 11, but not -11. Well, we can just make both of them negative and then it will be -11 and their product will still be 28. Our numbers are -4 and -7.

the 2 numbers are 5, and 10

Step-by-step explanation:

CORRECT ME IF I AM WRONG!!

Answer:

The first one is (7,4) and the second one is  (5,20).

[Hope it helps.]

A class collects $218.43 for a field trip. If there are 27 students in the class, what is the average amount of money each student collected
Please hurry

Answers

Answer:

$8.09

Step-by-step explanation:

To find the average you have to divide so 218.43/27 is 8.09

A city phone book has 86 pages filled with residents' names. There are a total of 15,050 names in the book. Each page has an equal number of names on it. How many names are on each page? ​

Answers

Answer:

175

Step-by-step explanation:

You have to divide 15,050 by 86

Have a nice day !

Which expression represents the commutative property?
a. 3 ÷ 9 = 9 ÷ 3
b. 6 + (5 + 4) = (6 + 5) + 4
c. 7 (2 + 8)
d. 15 + 1 = 1 + 15

Answers

Answer:

b) and c)

Step-by-step explanation:

a)

3/9 = 9/3

0,33 = 3 NO

b) 6+(5+4) = (6+5)+4

6+9 = 11+4

15 = 15 YES

c) 7(2+8) = ? NO

d) 15 + 1 = 1 + 15

16 = 16 YES

1. A jet travelled 640 miles in 2.5 hours. How far does it travel in 1 hour?

2. Renee as 20 days to read a book with 250 pages. How many pages should she read per day to finish the book on time?

plsssssss help i will mark u brainliest if possible

Answers

Answer:

1.) 256 miles

2.) 2 1/2 ( 2.5 ) pages a day

Step-by-step explanation:

1.) ( 256 * 2.4 = 640 )

2.) 250 / 20 = 2.5

I need it now so plz help me I am only in seventh grade

Answers

Answer:

D

Step-by-step explanation:

goodluck!!

In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in simplest form.

Answers

Answer:

The ratios is 10:12 and if you were to write it in a fraction you get 10/12 which is simplified as 5/6

Step-by-step explanation:

Answer:

The ratio of the number of boys divided by the ratio of the number of girls

10:12. = 10/12divide by numerator and denominator by 25/6 or 5:6

A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 90% confidence if (a) she uses a previous estimate of 0.34?(b) she does not use any prior estimates? n=_____(Round up to the nearest integer.)

Answers

Answer:

675 samples

752 samples

Step-by-step explanation:

Given that :

α = 90%

E = 0.03

Previous estimate (p) = 0.34

Estimated sample proportion (n)

n = p *q * (Zcritical /E)

Zcritical = α/2 = (1 - 0.9) /2 = 0.1 / 2 = 0.05

Z0.05 = 1.645 ( Z probability calculator)

q = 1 - p = 1 - 0.34 = 0.66

n = 0.34 * 0.66 * (1.645/0.03)^2

n = 674.70

n = 675

B.) without prior estimate given ;

p and q should have equal probability

Hence ;

p = 0.5 ; q = 0.5

n = 0.5 * 0.5 * (1.645/0.03)^2

n = 751.67361

n = 752

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