Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 14 grams?
y=a(.5)

Answers

Answer 1

Answer:

40.8 minutes

Step-by-step explanation:

Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 14 grams?

The formula to find how long it would take which is the time elapsed is given as:

t = t½ × In(Nt/No)/-In2

t = ?

t½ = 8 minutes

Nt = Amount after the time of decay = 14 grams

No = Original Amount of substances = 480 grams

t = 8 × In(14/480)/-In2

t = 40.796285388407 minutes

Approximately to the nearest tenth = 40.8 minutes

Therefore, it would take the element X, 40.8 minutes to decay to 14 grams


Related Questions

) Hiroki's goal is to collect $40 for a school fundraiser. He has already collected $26.50. Hiroki wants
to know how much more money he needs to collect.
that use the word correctly
ices, press the "Check Me" butto
6 POTE
.) Let m be the amount of money Hiroki still needs to collect.
Describe the situation with an equation.
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corper pipes for this project
De

Answers

Answer:

$13.50

Step-by-step explanation:

Subtract 40 from 26.50 to get the answer

15 POINTS! (sorry this question deserves way more than 15 points but it's all I have rn) BE A ANGEL AND HELP ME PLEASE, AND THANK YOU I LOVE YOU SM IF YOU DO I APPRERCIATE YOU!!!
1. What is the range of the function y = x^2?
a. all real numbers
b. x ≥ 0
c. y ≥ 0
2. In which quadrants is the ordinate positive?
a. I and II
b. II and III
c. I and IV
3. Which of the following ordered pairs lies on the graph of h(x) = -2x^2?
a. (1, -4)
b. (1, -2)
c. (1, 4)
4. Select all of the following points that lie on the graph of f(x) = 7 - 3x.
(-2, 1) (-1, 10) (0, 7) (1, 5) (2, 1)
5. The set of independent variables of a function is the
a. domain
b. range
c. relation
6. If h(x) = 5 for the function h(x) = 2x + 1, what is the value of x?
a. 2
b. 11
c. 12
7. Find f(6) if f(x) = x^2 ÷ 3 + x.
a. 4
b. 10
c. 18
8. (-3, 5) is located in _____.
a. Quadrant I
b. Quadrant II
c. Quadrant III
d. Quadrant IV

Answers

Answer:

i know number 8 is B but that's all sorry

Step-by-step explanation:

Write an equation of the line that passes through (18, 2) and is parallel to the line 3y - x = -12.

Answers

Answer:

3y=x-12

y=x/3-4

m=1/3

At (18,2)

y-2=1/3(x-18)

y-2=x/3 - 6

y=x/3 - 4

A. The number of dollars is always more than the number of dimes.
B. The number of dimes will always be an even number.
C. The number of dollars must be even to follow the rule.
D. The number of dimes will always be less than the number of dollars.

Answers

Answer:

B. the number of dimes will always be an even number

How do we check for proportionality in tables?
A Pick 2 pairs from the table
B Cross multiply
C Divide
D All of the above

Answers

Answer:

C Divide.

Explanation: I think it’s C because normally in tables you divide the numbers by what they are divisible by. If you end up with the same result for all of them then it’s proportionate. Like this one shown below. I hope this helps.

Espano
Two trains leave stations 196 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels at 60
miles per hour. How long will it take for the two trains to meet?

Answers

Answer:

The time at which the two trains will meet is 1 hour and 24 minutes

Step-by-step explanation:

The distances between the two trains = 196 miles

The direction of the two trains = Towards each other

The speed of one of the trains = 80 miles per hour

The speed of the other train = 60 miles per hour

Let 't' represent the time at which the two trains meet, we have;

80·t + 60·t = 196

∴ 140·t = 196

t = 196/140 = 7/5

The time at which the two trains will meet, t = 7/5 hours = 1.4 hours = 1 hour, 24 minutes.

Find the area of the triangle below.

Answers

Answer:

area of a triangle is 1/2×h×b

Step-by-step explanation:

1÷2×12×13

=78

A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. The total includes the cost of each sub, plus the delivery fee.

Answers

Answer:

cost of each sub = $6, delivery fee = $2

Step-by-step explanation:

Let $x be the cost of each sub and $c be the delivery fee

3x + c = 20

4x + c = 26

x = 6, c = 2

Write an equation in slope-intercept form given the information about each line.
10. slope = 4, goes through the point (3, 10)

Answers

Answer:

y = 4x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 , then

y = 4x + c ← is the partial equation

To find c substitute (3, 10) into the partial equation

10 = 12 + c ⇒ c = 10 - 12 = - 2

y = 4x - 2 ← equation of line

PLSSSSSS HELPPPPP ASAPPPP

Answers

Answer:

I believe its C

Step-by-step explanation:

If you take the coordinates of each point then you will realize all of them went 1 unit up and 9 units to the left.

The volume of a rectangular prism is 300 ft 3 . If the area of the base is 12 ft 2 , what is its height?

15 feet
24 feet
12 feet
25 feet

Answers

Answer: pretty sure 25 feet

Step-by-step explanation:

Graph the line with the equation y=-1÷5×-3

Answers

Answer:

Step-by-step explanation:

Find the standard deviation for the test scores
given in the following stem-and-leaf plot.

Answers

3 I hope that helps you can do it

Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please

Answers

Answer:

1/2

Step-by-step explanation:

DA: UR = 2:4

We come up with the conclusion that Quad ABCD : QuadRSTU = 1:2

The diameter of a circle is 3.2 centimeters. What is the circle's area?
Use 3.14 for ​ and round your answer to the nearest hundredth.

Answers

Answer:

I think 8

Step-by-step explanation:

Data that's displayed randomly on a scatter plot graph illustrates (please help asap!)

positive correlation.

negative correlation.

none of these.

no correlation.

Answers

No correlation is the answer

Point R is located at (8, 13). Where is R' after a translation 8 units left and 6 units down?

Answers

Answer:

R' = (0,7)

Step-by-step explanation:

HELPP SOMEONEEE plssss

Answers

Answer:

m=15d

Step-by-step explanation:

m=15d

m=15x20

m=300

300 messages

Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please

Answers

Answer:

RQ

Step-by-step explanation:

ML:RQ = MN:RS = LN:QS (corr side, similar triangles)

It’s RQ hope it’s help have a nice day

Subtract.
(2/9v)-(-1/3v+5/9)

Answers

Answer:

Use Desmos the calculator

Step-by-step explanation:

Answer: 5 ( x - 1) / 9

Find the circumference of the given circle. Use 3.14 for pi, and round your answer to the nearest tenth.

A) 59 in

B) 29.5 in

C) 19.2 in

D) 554.3 in

Answers

Answer:

Sorry, I can't complete this without knowing the radius, or diameter.

Step-by-step explanation:

Which equations represent linear functions? Select all that apply.

y=−x2+4y is equal to negative x squared plus 4

y=5−x2y is equal to 5 minus x over 2

x−3y=3x minus 3 y is equal to 3

8y=6x8 y is equal to 6 x

y=6x

Answers

Answer: x-3y=3x

8y=6x8

y=6x

Step-by-step explanation:

Meaning of linear equationA linear equation is a equation that goes at a constant pace and won't change overtime, so functions like x squared and functions that multiply x and y together doesn't go at a constant pace, there not linear equations, but functions like y=mx, M representing any constant, that is a linear equation, therefore    x-3y=3x

8y=6x8

y=6x

Are the answers to your Question,

The equations that represent linear functions are x − 3y = 3x and y = 6x , so options D and E are correct.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line. Functions like y = mx, where m can be any constant, are considered linear equations.

The given equations,

y = −x² + 4y, y = 5 − x²y, 8y = 6x⁸y  on solving get a degree more than 1 then the equation is a linear function, only

x − 3y = 3x

3y = -2x and y = 6x have degree one, so they are linear

To know more about linear equations:

https://brainly.com/question/21835898

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Find the exact volume of the cone. Write your answer in terms of π.

Answers

Answer:

448π ft³

Step-by-step explanation:

formula of volume of cone= 1/3× πr²h

r= 8ft

h= 21ft

pitting these values in the formula

Plllease helpp me!!!!!!

Answers

Answer:

a) KJL = 76⁰

b) LKM = 76/2 = 38⁰

Answer:

∠KJL = 76°

∠LKM = 38°

Step-by-step explanation:

since arc KL = 76°, ∠KJL also = 76° because central angles are congruent to their arcs.

∠LKM = 1/2 arc KL = 1/2(76°) = 38°

A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bowl can hold? A 2.094 cm B. 524 cm C. 262 cm

Answers

Answer:

C. 262 cm

Step-by-step explanation:

Use the formula for the volume of a sphere, V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]

Since the diameter is 10 cm, the radius will be 5 cm

Plug in the radius into the formula:

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](5³)

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](125)

V = 523.6

Since the bowl is a hemisphere, divide this by 2:

523.6/2

= 261.8

Rounding to the nearest cm, the volume of the bowl is 262 cubic cm.

So, the correct answer is C. 262 cm

Describe the behavior of the graph below.

A.The graph is decreasing for all values of x.

B.
The graph is increasing for all values of x.

C.
The graph is decreasing only when x > 0.

D.
The graph is increasing only when x > 0.

Answers

The behavior of the function represented by the given graph: A) The graph is decreasing for all values of x.

What is behavior of function?

As part of exploring how functions change, we can identify intervals over which the function is changing in specific ways. We say that a function is increasing on an interval if the function values increase as the input values increase within that interval. Similarly, a function is decreasing on an interval if the function values decrease as the input values increase over that interval.

In the given graph, the value of y decreases as x increases. Therefore, the given graph represents a decreasing function.

Learn more about behavior of function here

https://brainly.com/question/19319976

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write a unit rate for 25 pounds in 10 weeks

Answers

Step-by-step explanation:

Answer:

= 2.5 Pounds per Week

Showing Work

This is a fraction equal to

25 Pounds ÷ 10 Weeks

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 10

25 Pounds ÷ 10

10 Weeks ÷ 10

=

2.5 Pounds÷1 Week

=

2.5 Pounds

__________

Week

= 2.5 Pounds per Week

Item 28 A red, green, and blue book are on a shelf. You randomly pick one of the books. Without replacing the first book, you choose another book. What is the probability that you picked the red and blue book

Answers

The probability is 1/3

Jackson has a sprinkler that rotates in a circle with a 6 foot radius. What is the approximate area that Jackson can expect the sprinkler to cover?

A.
37.68 ft2

B.
113.04 ft2

C.
18.84 ft2

D.
144 ft2
PLease help!!

Answers

Answer:

B.

Step-by-step explanation:

I think B is the answer.......

Can someone please answer this? It doesn’t have to be step by step

Answers

Answer:

-1

Step-by-step explanation:

the awnser is -1

It is a solution because -2 plugged in as x into the equations shows y is equal to -1.
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