A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents the amount of the isotope left then the equation for the situation is

Answers

Answer 1

Answer:

y=y0e^-0.0002t

Step-by-step explanation:

Answer 2
A certain isotope decays at a rate of 2%per 100 years. If t represent the time in years and y represent the amount of the isotope left then the equation for the situation is y=y0e^-0.0002t . In how many years will there be 86% of the isotope left?
.
Let x = initial amount
then our formula is
.86x = xe^(-0.0002t)
.
Notice, if we divide both sides by x, we eliminate our unknown:
.86 = e^(-0.0002t)
Solving for x, we take the ln of both sides:
ln(.86) = -0.0002t
ln(.86)/(-0.0002) = t
754.114 years = t

Related Questions

What is the total area, in square units, of the
figure shown below?

a. 6
b. 12
c. 24
d. 30

Answers

Answer:

30 !

Both are right triangles so you can do 4*3= 12 and then 12/2= 6

then 6*8=48 and 48/2=24

24+6 =30!

hope this helps ! :)

The answer is 30



8x6=48 48divided by 2 equals 24
3x4=12 12divided by 2equals 6
6+24 equals 30

f(n) = 41 – 5n
Complete the recursive formula of f(n).
f(1) =
f(n) = f(n − 1)+

Answers

Answer:

f(1) = 36

f(n) = f(n-1) - 5.

Step-by-step explanation:

f(1) = 41 - 5 = 36.

f(n) = f(n - 1) - 5.

Von mixes tomato sauce and milk to make soup. First he puts 150 milliliters of
tomato sauce in a pot. Next he adds the milk that is in the measuring cup. How
many milliliters of soup does he make?
A. 400 milliliters
B. 460 mill
C. 350 mill
D. 500 mill

Answers

Answer:

500 milliliters or ml

Step-by-step explanation:

First, we find the amount of milk is in the measuring cup which is 350 ml  and then add 350 ml of milk to the 150 ml of tomato sauce to get 500 ml.

Hope it helped :)

The amount of soup made by Von is equal to 500 milliliters. Hence, option D is correct.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data given in the question,

Von mixes tomato sauce and milk to make soup.

Initially, the amount of tomato sauce added in the pot = 150 milliliters.

Then, milk is added that is in the measuring cup that is 350 milliliters.

So,

The total amount of soup made by him,

= 150 + 350

= 500 milliliters.

To know more about arithmetic operations:

https://brainly.com/question/25277954

#SPJ5

What is the area of shape in d use square blocks as the unit

Answers

Answer:

24 square blocks

Step-by-step explanation:

Find the 76th term of the arithmetic sequence 17, 19, 21, ...

Answers

Answer: 167

Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

[tex]^{a}n = ^{a}1 (n - 1)d[/tex]

Since we want to determine the 76th term, we are going

to substitute 76 in for n in our explicit formula.

Then, [tex]^{a}1[/tex] will be our first term in our sequence which is 17.

Lastly, d is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.

So we have [tex]^{a} 76 = 17 + (76 - 1)(2)[/tex].

Now we have all the information we need. Just simplify from here.

Make sure to apply order of operations because this is where many

students make mistakes. Inside the parentheses first!

(76 - 1) is going to be 75.

So we have [tex]^{a} 76 = 17 + (75)(2)[/tex].

Then, we have to make sure we multiply before we add.

So (75)(2) is going to give us 150.

So we have [tex]^{a} 76 = 17 + 150[/tex].

Now just add to find that [tex]^{a} 76 = 167[/tex].

So the 76th term is 167.

Big ideas math 6th grade chapter 5 test

Answers

Answer:

I'm not sure if you need help but...

Step-by-step explanation:

6+6=12

Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a to the power of 5 and 9a to the power of 5.

Answers

Answer:

[tex]36a^5[/tex].

Step-by-step explanation:

In a right angle triangle,

Length of one leg [tex]=12a^5[/tex]

Length of other leg [tex]=9a^5[/tex]

According to the Pythagoras theorem,

[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]

Using Pythagoras theorem,

[tex]Hypotenuse^2=(12a^5)^2+(9a^5)^2[/tex]

[tex]Hypotenuse^2=144(a^5)^2+81(a^5)^2[/tex]

[tex]Hypotenuse=\sqrt{225(a^5)^2}[/tex]

[tex]Hypotenuse=15a^5[/tex]

Perimeter of right angle triangle is the sum of all sides of the triangle.

[tex]Perimeter=12a^5+9a^5+15a^5[/tex]

[tex]Perimeter=36a^5[/tex]  units.

Therefore, the required expression is [tex]36a^5[/tex].

What is the solution to this system of equations?

Negative 3 x + 5 y = negative 2. 3 x + 7 y = 26.
(4, 2)
(2, 3 and one-third)
no solution
infinitely many solutions

Answers

Answer:

4,2

Step-by-step explanation:

did the test

The solution of the system of equation is (4, 2) which is correct option(A).

What is equation?

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

Given the two systems of equations,

-3x + 5y = -2

3x + 7y = 26

Adding the both equations

-3x + 5y + 3x + 7y = -2+26

12y = 24

y = 2

Substitute the value of y in any one of the equations,

3x + 7 y = 26

3x + 7(2) = 26

3x = 26-14

3x = 12

x = 4

Hence, the solution of the system of equation is (4, 2).

Learn more about equation here:

brainly.com/question/10413253

#SPJ2

Find the probability that a point chosen at random will lie in the shaded region.

I don't understand what to do here :(

Answers

Step-by-step explanation:

In the 1st question

Total boxes = 6

Shaded boxes = 2

Probability = 2/6 = 1/3

Can someone help me with questions 2 and 3 pls?

Answers

1 cup = 1/2 pint, so where it says 4 cups we'll just read 2 pints.

1.  In one show we serve 30 × 2 pints of small and 42 × 6 pints of regular.

Total = 30 × 2 + 42 × 6 =  60 + 252 = 312 pints

Answer: 312 pints

2. 8 pints per gallon, 2 gallons per container makes 16 pints per container.  

312 pints / 16 pints per container = 19.5 containers

We round up since we need a whole number of containers.

Answer: 20 containers

We can't really see question 3.

What will be the new coordinates of point B if the red triangle is reflected over the y.Axis

Answers

Answer:

(-4, 5)

Step-by-step explanation:

(-4, 5) are the correct coordinates of point B after reflecting the figure over the y-axis.

HELP ASAP


table
———————————————
Radius (ft) Bushels of corn
500 2705
1000 10818
1500 24341
2000 43273
2500 67613


What type of function best models the given data set?

A. Constant
B. Exponential
C. Linear
D. Quadratic

Answers

Answer:

Linear would be fine as it doesn't decrease to under zero

and a curve graph would represent this data fine at 10818 turning point.

Step-by-step explanation:

I need the right answer please

Answers

Answer:

a) i) x = 6, y = 9

ii) 20

iii) -5

b) -40

Step-by-step explanation:

3(6) - 2(9)

18 - 18 = 0

greatest

3(10) - 2(5)

30 - 10

20

least

3(5) - 2(10)

15 - 20

-5

5(a - 4b)

5[-7 - 4(¼)]

5(-7 - 1)

5(-8)

-40

PLZZZ HELP ME I NEED HELP AND I HAVE A TIMER AND I WILL GIVE YOU BRAINLEST
On a coordinate plane, 2 lines intersect around (3.8, negative 1.5).
Given the graph of a system of equations, which statements are true about the solution? Check all that apply.
The x-value is an integer.
The x-value is between 3 and 4.
The y-value is between –2 and –1.
The x-value is positive.
The x- and y-values have the same sign

Answers

Answer:

b,c,d

Step-by-step explanation:

I just did the assignment

Answer:

b, c. d

Step-by-step explanation:

12. For angle A it is known that sin(A)>0 and tan (A) <0. If A is drawn in standard position, in which quadrant
does its terminal ray lie?​

Answers

Answer:

Quadrant 2

Step-by-step explanation:

Sin = opp/hyp and opp is positive in quadrants 1 & 2.

Tan = opp/adj - we need one of these values to be positive and the other negative. adj is negative in quadrants 2 & 3.

Quadrant 2 is found in both of the scenarios that we need to occur.

A circle has a radius of 6ft. What is the area of the sector formed by a central angle measuring 300 degrees

Answers

Answer:

30π  ft^2 which is 94.25 ft^2 to the nearest hundredth.

Step-by-step explanation:

The area of the full circle is π * 6^2

= 36π  so:

the area of the 300 degrees sector = 300 * 36 π  / 360

= 30 π

What is the volume of this rectangular prism?

Answers

Answer:

volume = 5/8 cm^3

Step-by-step explanation:

v=lwh

(5/2)(1/3)(3/4)=15/24=5/8

Therefore, volume = 5/8 cm^3

I hope this helped and have a good rest of your day!

1. Warp coils, like those found on my new spaceship, are manufactured in groups of 36 (as everyone
knows). If there is a 4% rate of defect in manufacturing,
a) find the mean number of defects per group.
a)

Answers

Answer:

1.44

Step-by-step explanation:

No. of warp coils manufactured in one group = 36

defect rate = 4%

That is 4 out of every 100 warp coil is defective

No. of defective warp coil in one group = 4% of warp coil in one group

                                                             = 4% of 36 =4/100 *36

                                                             = 1.44

Thus, there are 1.44 defective coil in each group.

Since, mean number is average number of defect.

So if each group has 1.44 defective coils then mean for all the group will remain same i.e 1.44

I need help plzzzz I’m nearly done

Answers

Answer:

≈ 70.4 cm

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , thus

C = 2 × 3.142 × 11.2 ≈ 70.4 ( to 1 dec. place )

70.4 is the circumference

a rectangular field has side lengths that measure 9/10 mile and 1/2 mile. What is the area of the field

Answers

Answer:

9/20, or 0.45 mile.

Step-by-step explanation:[tex]\\[/tex]

To find the area of a rectangle, multiply length times width. In this problem we are given both the length and width.

[tex]\frac{9}{10}[/tex] × [tex]\frac{1\\}{2}[/tex] is just 9/20, which is 0.45.

-4b - 5 + 2b =10. Can I have some help solving this.

Answers

Answer:

-7.5

Step-by-step explanation:

Simplify

-4b - 5 + 2b = 10

-2b - 5 = 10

-2b = 15

b = -7.5

Answer:

-7.5

Step-by-step explanation:

-4*- 7.5 =30

2*-7.5=   -15

30-5-15=10

find the term independent of x in the expansion of x^9(2-1/x^3)^6

(it's also pictured)

Answers

Answer:

20

Step-by-step explanation:

Find the volume of this cylinder. Give your answer to 1 decimal place when the radius is 11 cm and the length is 14 cm

Answers

Answer:

5324

Step-by-step explanation:

volume of cylinder=πr^2l=22/7×11^2×14=5324

In the figure angle a measures 41 degrees and angle d measures 32. What is the measurement of angle E?

Answers

Answer:

it is c

Step-by-step explanation:

PLEASE ANSWER. I will mark as brainliest for fist correct answer.

Answers

Step-by-step explanation:

If the total worth of the roll is 50 cents, we know that there are 50 pennies in the roll, and therefore the roll has a height of 50 * 1.52 = 76 mm. The radius of a penny is half its diameter, or 19.05 / 2 = 9.525.

We can find its volume with the formula (πr²) * h, where r and h are the radius and height respectively, and we can approximate 3.14 for π. Plugging these in, we have (3.14 * (9.525)²) * 76 ≈ 2160.8 mm³. Hope this helps!

Answer:

  21,661.7 mm³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

Here, we're given the diameter as 19.05 mm, so the radius is ...

  r = 19.05 mm / 2 = 9.525 mm

The thickness of one penny is 1.52 mm, but there are 50 of them in the roll. So the total height of this cylinder is ...

  h = (1.52 mm)(50) = 76 mm

__

Using these numbers for radius and height in the volume formula, we find the volume of the roll of pennies to be ...

  V = π(9.525 mm)²(76 mm) = 21,661.7 mm³

The approximate volume of the roll of pennies is 21,661.7 mm³.

The graph shows the rate that Tom travels
on his bicycle, with the line traveling through
the point (5,45)
Use this graph to answer questions 1 and 2.
What is the constant of proportionality in the graph?​

Answers

Answer:

The constant of proportionality is 9.

Step-by-step explanation:

k=y/x     This is the formula.

k=45/5   Plug in the x and y coordinates of a point on the line (5,45).

k=9         Here's your answer!

HELP ASAP WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER

Answers

Answer:

y is 10 degrees the pink one

y = 10

Hope This helps :D

how do i solve this?

Answers

Answer:

idk

Step-by-step explanation:

idk

Answer:

that is to hard

Step-by-step explanation:

1) Which of the equivalent expressions for P(x) reveals the price which gives a profit of
zero without changing the form of the expression?
P(x) = -3x? + 432x - 1680
b) P(x) = -3(x-4)(x - 140)
P(x) = -3(x - 72)2 + 13872
2) Find a price, which gives a profit of zero.

Answers

Answer:

1. (B)P(x) = -3(x-4)(x - 140)

2. $140

Step-by-step explanation:

(1) Given the profit function, P(x) where x is the price, the expression which reveals the price which gives a profit of  zero without changing the form of the expression is:

P(x) = -3(x-4)(x - 140)

This is as a result of the fact that equating it to zero immediately yields the zeros of the quadratic polynomial.

(2)When the profit, P(x)=0, then using the expression above we have:

[tex]P(x) = -3(x-4)(x - 140)\\Since -3\neq 0, then:\\x-4=0$ or x-140=0\\x=4 or x=140[/tex]

A price of $4 or $140 as the case may be gives a profit of zero.

Justin played a game with 24 floating plastic ducks each with a colored sticker on the bottom. There are an equal number of red blue and green stickers on the set of ducks. What is the probability that one duck chosen at random will have a red or blue sticker

Answers

Answer:

Because there are 24 ducks total and they are separated equally into three categories, we can figure out that there are 24 / 3 = 8 ducks of each color. This makes the probability of pulling a red/blue duck would be (8*2)/24 or 16/24. If we want this to be a percentage we can just solve 16/24*100 and it will give us 66.66...%

Other Questions
which of the following would be true if something was at absolute zero? Choices are:A. The molecules that make up a sample wouldn't be moving. B. The molecules that make up a sample would be moving very slowly C. The molecules that make up a sample would be moving really fast [tex]3\sqrt[5]{(x+2)^3}+3=27[/tex]Show all work Helppp !Mendel published his results in 1865, but the significance of his work was notrecognized at that time. What is one reason scientists were not excited aboutMendel's work at the time?OA. He did not have enough data.OB. His results were false.OC. He did not repeat his experiments.OD. His results conflicted with accepted theories. May someone please help me True or false: Authors develop central ideas by presenting more complex information about a topic over the course of the text. ? How many different 12-letter arrangements can be made using the letters in the word indianapolis? In at least two paragraphs, analyze the similarities and differences in the decolonization movements of TWO of the following countries:IndiaGhanaKenyaAlgeriaYour response should begin with background about why decolonization is happening when it happens. Something like "In the years after World War II, more and more colonial empires began to crumble..." and then explain why. That paragraph should end with your thesis statement.Your second paragraph should be a major point of comparison between the two places you chose in terms of how they were decolonized. For example, maybe you want to talk about the role of violence vs. nonviolence in Kenya and India respectively. THIS SHOULD NOT BE A PARAGRAPH ABOUT ALL THE SIMILARITIES AND THEN A PARAGRAPH ABOUT ALL THE DIFFERENCES. THAT'S A BIG NO. IT IS A PARAGRAPH OF INTRO ENDING WITH A THESIS AND A PARAGRAPH OF BACK-TO-BACK COMPARISONS OF TWO PLACES ON ONE SINGULAR TOPIC. sorry this is what my teacher wrote not me A cell phone discarded in the United States can cause a person processing it in China, India, or Africa to suffer negative consequences if it is not handled properly.True Or False Introduction: Match each word to its definition on the rightexploitationa person promoting human welfareand social reformhumanitariana group, not linked to a nation, thatworks toward a humanitarian goalnongovernmental organizationthe art of negotiating between nationsdiplomacyparcioning of past offensesamnestyselfish use for profit What was the name of Theodore Roosevelt's navy he sent around theworld on a "Good Will Tour"?1st FleetRough RidersO The Great White FleetWhat is the name of the rebellion against foreigners in China?2 points Consumers differ from producers in that unlike producers, consumers ___________.a.do not require energy inputs b.cannot make their own food c.make their own food d.cannot sense and respond to change e.do not pass DNA to offspring someone lmk plzzz tyy Which words from the paragraph are signal words? Checkall that applyavoidRead the paragraph from a procedural text.Avoid fashion mishaps with these simple steps. Start bydraping the scarf around your neck, allowing one end to beslightly longer than the other. Next, grab the longer end,drape it around your neck again, and let it fall over yourchest. If you have a particularly long scarf, you may chooseto overlap the scarf in back just a bit so that most of yourneck is coveredsimplestepsstart bynext jobs in America were an example of these hello!? what's 3 + 3 Somebody can tell me what answers it is? In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer. 1.Les filles _____________ (partir) en France.a)est partieb)sont partiec)est partiesd)sont parties2.La tarte au pommes, tu la _________________ (adorer)a)as adoreb)ai adorec)avez adord)as ador Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form someone pls help this is due today