If there are 520 grams of radioactive material with a half life of 12 hours how much of the radioactive material will be left after 72 hours? Is the radioactive decay modeled by a linear function or an exponential function

Answers

Answer 1

Answer:

16.25 grams are left

exponential

Step-by-step explanation:

Half the material will decay every 12-hour period (the other half will remain).

Initial amount (at time t = 0):  520 grams

Time t = 12:  260 grams are left

Time t = 24:  130 grams are left

Time t = 36:  65 grams are left

Time t = 48:  32.5 grams are left

Time t = 72:  16.25 grams are left

Radioactive decay is modeled by an exponential function.  The function can't be linear because for them, equal time steps would produce equal reductions in the amount of material.


Related Questions

Express 0.80 as a fraction in its simplest form.

Answers

Answer:

4/5

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

0.8

=8/10

=4/5

2+x5-3=(2+)x(5-3) is the equation true or not show work why

Answers

This equation has some nested grouping symbols on the left-hand side. As usual, I'll simplify from the inside out. I'll start by inserting the "understood" 1 in front of that innermost set of parentheses:

3 + 2[4x – (4 + 3x)] = –1

3 + 2[4x – 1(4 + 3x)] = –1

3 + 2[4x – 1(4) – 1(3x)] = –1

3 + 2[4x – 4 – 3x] = –1

3 + 2[1x – 4] = –1

3 + 2[1x] + 2[–4] = –1

3 + 2x – 8 = –1

2x + 3 – 8 = –1

2x – 5 = –1

2x – 5 + 5 = –1 + 5

2x = 4

x = 2
It is not required that you write out this many steps; once you get comfortable with the process, you'll probably do a lot of this in your head. But until you reach that comfort zone, you should write things out at least this clearly and completely.

Always remember, by the way, that you can check your answers in "solving" problems by plugging the numerical answer back in to the original equation. In this case, the variable is only in terms on the left-hand side (LHS) of the equation; my "check" (that is, my evaluation at the solution value) looks like this:

LHS: 3 + 2[4x – (4 + 3x)]:

3 + 2[4(2) – (4 + 3(2))]

3 + 2[8 – (4 + 6)]

3 + 2[8 – (10)]

3 + 2[–2]

3 – 4

–1
Since this is what I was supposed to get for the right-hand side (that is, I've shown that the LHS is equal to the RHS), my solution value was correct.

Answer pls it's due

Answers

wanna b my bestie :plead:

EASY MATH
Find all the zeros of f(x)= x^3 − 6x^2 + 13x − 20 given that 1−2i is a zero.
x=

Answers

Answer:

there is only one zero

Step-by-step explanation: and if it easy why you didint do it just ascking

no links no links sssssdrerw

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

find the LCM lowest common multiple and the HCF highest common factor of 40 and 56

Answers

Answer:

280 and 8

Step-by-step explanation:

the LCM is the lowest common multiple

the lowest multiple that can Divide 40 and 56 without a remainder = 280

the Hcf Is the highest common factor of 40 and 56

the highest number that can Divide both =8

Scott has a rope 8 metres long. He says, “I need 9 pieces each 0.89 metres long.’’ Will Scott have enough ribbon?
A. Yes B. No

Answers

Answer:

B

Step-by-step explanation:

How did it go from "rope" to "ribbon", therefore, the statement is incorrect. This is a man-made equation that clearly has a mistake. If it was to say, "Will Scott have enough rope?" then the answer will be "YES"

Answer:

the answer is NO

Step-by-step explanation:

0.89 x 889 = 8.01

Therefore, he is 1cm short

An object moves 100 m in 4 s and then remains at rest for an additional 1 s.

What is the average speed of the object?

Answers

Answer:

20 m per second

Step-by-step explanation:

100 / 5 = 20

HELP please!!
What would the container look like for this depth vs height graph??

Answers

Curvy the container is nicki manji

Jeremiah and his children went into a bakery and he bought $20 worth of cupcakes and cookies. Each cupcake costs $5 and each cookie costs $1.25. He bought 4 times as many cookies as cupcakes. Graphically solve a system of equations in order to determine the number of cupcakes, x,x, and the number of cookies, y,y, that Jeremiah bought.

Answers

Answer: (2,8)

Step-by-step explanation:

5x+1.25=20

y=4x

5x+1.25y=20       y=4x

1.25y=-5x+20

1.25y/1.25=-5x+20/1.25

y=-4x+16

plz help fast!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D) 156/100 = n/70

Step-by-step explanation:

n = 156% of 70

% indicates a fraction over 100.

"of" indicates multiplication.

n = 156/100 • 70

Let's divide both sides by 70 to have one fraction one each side.

n/70 = 156/100

This is equal to D) [tex](\frac{156}{100}) = (\frac{n}{70})[/tex]

pls help asap will give brainliest

Answers

Answer:

148 feet squared

Step-by-step explanation:

Hope it's correct!<D

A = 2 (wl+hl+hw) = 2 x (4x6+5x6+5x4) = 148

someone help me ill mark you brainliest x

Answers

Answer:

x= 64° y= 18° z= 98°

Step-by-step explanation:

x= 64°

y = 18°

z = 180° - x - y

z = 180° - 64° - 18°

z= 98°

A triangular prism has a triangular face with a base of 13.5 feet and a height of 18 feet. Its volume is 2,187 cubic feet. What is the length of the triangular prism?

Answers

Answer:

The prism has a length x and a width x. Since it is a square at the base both length and width are the same amount x. The height is "half the length of one edge of the base". Since the base is x, this makes it 1/2x.

The volume's prism is found using V = l*w*h. Substitute and simplify.

13.5 = x*x*1/2x

13.5 = 1/2 x^3

27 = x^3

3 = x

The prism is 3 by 3 by 1.5.

Step-by-step explanation:

brainliest?

Help me pls, tysm! I will give brainly if you give me the right answer, tysm! I need help on number 6 btw

Answers

Answer: 96 feet

Step-by-step explanation:

What is the equation of the line that passes through the point (-6, -8) and has a slope of 1/3

Answers

Answer:

x^2 = (28)^2 + (45)^2

= 784 + 2025

= 2809

x = 53

The equation of the line is y = (1/3)x - 6.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line is y = mx + c.

Now,

m = 1/3

And,

(-6, -8) = (x, y)

So,

y = mx + c

-8 = 1/3 x -6 + c

-8 = -2 + c

-8 + 2 = c

c = -6

Now,

y = mx + c

y = (1/3)x - 6

Thus,

The equation of the line is y = (1/3)x - 6.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

please help


A tennis club has 15 members: eight women and seven men. How many different teams may be formed consisting of one woman and one man on each team? ​

Answers

Answer:

12870ways

Step-by-step explanation:

Combination has to do with selection

Total members in a tennis club = 15

number of men = 8

number of women = 7

Number of team consisting of women will be expressed as 15C7

15C7 = 15!/(15-7)!7!

15C7 = 15!/8!7!

15C7 = 15*14*13*12*11*10*9*8!/8!7!

15C7 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2

15C7  = 15*14*13*12*11/56

15C7 = 6,435 ways

Number of team consisting of men will be expressed as 15C8

15C8 = 15!/8!7!

15C8 = 15*14*13*12*11*10*9*8!/8!7!

15C8 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2

15C8 = 6,435 ways

Adding both

Total ways = 6,435 ways + 6,435 ways

Total ways = 12870ways

Hence the required number of ways is 12870ways

6,336 ft. = in league

Answers

Answer:

6336 feet = 0.3476 nautical leagues

Craig opened a savings account and deposited $600.00 as principal. The account earns 2%
interest, compounded annually. What is the balance after 6 years?
Use the formula A =
1 +
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.

Answers

Answer:

the answer is 675.70 or 4,504.33

Step-by-step explanation:

the right answer is that



2. Describe a rigid motion or composition of rigid motions that maps the rectangular bench at (0, 10)and

the adjacent flagpole onto the other short rectangular bench and flagpole.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Let the bench be B and the flagpole be T.

So:

[tex]B = (0,10)[/tex] --- given

The flagpole is represented by the triangular shape labelled T.

So, we have:

[tex]T = (6,9)[/tex]

See attachment for the rectangular bench and the flagpole

From the attached image, the location of the other bench is:

[tex]B' = (0,-10)[/tex]

And the location of the other flagpole is:

[tex]T' = (-6,9)[/tex]

So, we have:

[tex]B = (0,10)[/tex] ==> [tex]B' = (0,-10)[/tex]

[tex]T = (6,9)[/tex] ==> [tex]T' = (-6,9)[/tex]

When a point is reflected from [tex](x,y)[/tex] to [tex](x,-y)[/tex], the transformation rule is reflection across x-axis.

So the rigid transformation that takes [tex]B = (0,10)[/tex] to [tex]B' = (0,-10)[/tex] is: reflection across x-axis.

When a point is reflected from [tex](x,y)[/tex] to [tex](-x,y)[/tex], the transformation rule is reflection across y-axis.

So the rigid transformation that takes [tex]T = (6,9)[/tex] to [tex]T' = (-6,9)[/tex] is: reflection across y-axis.

A rectangle prism has a length of 10m, a height of 9m, and a width of 15m. What is its volume, in cubic meters

Answers

Answer:

1350 m³

Step-by-step explanation:

To find the volume of a rectangular prism, we have to multiply its length, width, and height together.

The dimensions of this prism are 9, 10, and 15.

9 · 10 · 15 = 1350

The volume is 1350 meters³.

I hope this helps ^^

PLEASE ANSWER QUICKLY

Answers

Answer:

x = 90 and 20 x 4 = 6x9 = k2 over -2

Convert 3.1415 x 10^-2 to standard notation.

Answers

The answer is .031415

Mary has a toy which is in the shape of a right prism with triangular bases. The sides of its bases are each 4 feet and its approximate height is 3.5 feet. The length of the prism between the bases is 10 feet. What is the approximate surface area of this right prism? A. 134 B. 150.5 C. 210 D. 323.5

Answers

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation: 210 ft. 2

A group of 12 students participated in a dance competition. Their scores are below:


Score (points)

1


2


3


4


5


Number of Students

1


2


4


3


2


Would a dot plot or a histogram best represent the data presented here? Why? (3 points)


Group of answer choices


Histogram, because a large number of scores are reported as ranges


Histogram, because a small number of scores are reported individually


Dot plot, because a large number of scores are reported as ranges

Answers

Answer:

put a picture please so i can understand better

Answer:

The answer is A

Step-by-step explanation:

i have done this and got 100 :0

A bicycle tire is 28 inches in diameter how far does the bicycle move forward each time the wheel goes around use 22/7 as an approximately for π

Answers

Answer:

88 inches

Step-by-step explanation:

Well the bike will travel the distance of the circumference of the tire.

Circumference is 2*pi*radius or pi*diameter since the diameter is twice the radius

I guess they want is to use 22/7 for pi, which is weird, but whatever.

C = pi*d

C = 22/7*28

This gets you [tex]C = \frac{616}{7}[/tex] or 88 inches

QUICK
Your bank offers 6 percent annual interest, compounded monthly. If you start with $500 in your account, how much will you have after 3 months?

Answers

Answer:$590

Step-by-step explanation:

500*6%=30

30*3=90

500+90=590

Write a question that matches this equation:


45-n=15

Answers

Answer:

ayla had 45 cupcakes for the class jayla gave a number out to the cladd Jayla took 15 cupcakes back home what is the does n equal to

Find the area of each rhombus. Write your answer as an integer or a simplified radical

Answers

Step-by-step explanation:

area of rhombus =1/2×d1×d2

area of rhombus =1/2×9cm×5cm

area of rhombus =22.5cm²

area of rhombus = 1/2×d1×d2

area of rhombus =1/2×8in×17in

area of rhombus= 68in²

Consider the functions F(x)= x^2+9x and g(x)=1/x.

F(g(-1))is ? , and G(f(1/2))is ? .​

Answers

Answer:

a). -8    b). 4/19

Step-by-step explanation:

F(x)= x²+9x       g(x)=1/x.

g(-1) = 1/ - 1

= -1

f(-1) = x²+9x

= -1² + 9(-1)

= 1 - 9

= -8

G(f(1/2))

f(1/2) = x²+9x

= 1/2² + 9(1/2)

= 1/4 + 9/2

= 19/4

g (19/4) = 1/x

= 1/19/4

= 4/19

Answer:

1). -8    2). 4/19

Step-by-step explanation:

F(x)= x²+9x       g(x)=1/x.

g(-1) = 1/ - 1

= -1

f(-1) = x²+9x

= -1² + 9(-1)

= 1 - 9

= -8

G(f(1/2))

f(1/2) = x²+9x

= 1/2² + 9(1/2)

= 1/4 + 9/2

= 19/4

g (19/4) = 1/x

= 1/19/4

= 4/19

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