The half-life of a substance is the amount of time it takes for half of the amount of substance to decay. The half-life of a pesticide is 2 years. Initially there are 500 grams of pesticide. How much pesticide is left after 10 years? Round to the nearest hundredth.

Answers

Answer 1

Answer:

15.625 grams

Step-by-step explanation:

The decay is First order reaction

The half life of the first order reaction is given by

T(1/2)  = ㏑2/K

where K is the reaction constant for the first order reaction

T(1/2) = 2

2 = ln 2 /K

K = ln2/2

The equation of the first order reaction is given by

Kt = ln ([tex]\frac{Ro}{R}[/tex])

where

t = time = 10years

Ro = initial concentration

R = amount left after time t

upon substituting the values

[tex]\frac{ln2}{2}*10 = ln( \frac{500}{R})[/tex]

5ln2 = ln (500/R)

ln [tex]2^5[/tex] = ln (500/R)          (a*lnb = ln[tex]b^a[/tex])

[tex]2^5 = 500/R[/tex]

R = 500/32  = 15.625grams

Therefore the amount of pesticide left after 10 years is 15.625grams


Related Questions

please help asap!!!!


An airplane is flying at an elevation of 11,000 feet. The airport is 4 miles away from a point directly below the airplane on the ground. How far is the airplane from the airport? (Hint: 1 mile = 5280 feet)

Answers

Answer:

I think it would be 21120

Step-by-step explanation:

srry if im wrong, but hope this helped! also pls correct me if its wrong ty :3

Write an equation, please help

Answers

Answer:

y = -6/5x + 2

Answer:

5\6x-2

Step-by-step explanation:

Y=(10-6x)\5

Y= 2-6\5x

Slope of line 1 = -6\5

Slope of line 2*(slope of line 1 )= -1

Slope of line 2 *-6\5=-1

Slopes of line 2 = 5\6

(X-x0)m = y-y0

(X-6)*5\6=y-3

5\6x -5 = y-3

Y= 5\6x -2

(x - 4)(2x - 1)(3x - 2) = 0


What is the product of all values of x that satisfy the equation above?

Answers

Answer:

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to  

0

, the entire expression will be equal to  

0

.

2

x

1

=

0

3

x

+

2

=

0

Set the first factor equal to  

0

and solve.

Tap for more steps...

x

=

1

2

Set the next factor equal to  

0

and solve.

Tap for more steps...

x

=

2

3

The final solution is all the values that make  

(

2

x

1

)

(

3

x

+

2

)

=

0

true.

x

=

1

2

,

2

3

The result can be shown in multiple forms.

Exact Form:

x

=

1

2

,

2

3

Decimal Form:

x

=

0.5

,

0.

¯

6

The product of all values of {x} that satisfy the equation →

(x - 4)(2x - 1)(3x - 2) is 4/3.

What is algebraic expression?

An algebraic expression is a combination of terms, both constants and variables. For example, we can write the algebraic expressions as -

2x + 3y + z

4x + 5

Given is the algebraic expression as -

(x - 4)(2x - 1)(3x - 2)

The given expression is -

(x - 4)(2x - 1)(3x - 2) = 0

We can write -

(x - 4) = 0   or   (2x - 1) = 0   or   (3x - 2) = 0

x = 4   or   x = 1/2   or   x = 2/3

The product of all values of {x} that satisfy the equation above is -

4 x 1/2 x 2/3

4/3

Therefore, the product of all values of {x} that satisfy the equation →

(x - 4)(2x - 1)(3x - 2) is 4/3.

To solve more questions on simplifying expressions , visit the link below

https://brainly.com/question/403991

#SPJ2

What is the GCF of 64, 160 and 224

Answers

Answer:

32

Step-by-step explanation:

Factorize:

64= 2x2x2x2x2x2

160= 2x2x2x2x2x5

224=2x2x2x2x2x7

If you notice, the pairs have 5 2s. So the gcf is 2^5 or 32.

Hope this helps plz hit the crown :D

The greatest common factor of 64,160, and 224 will be 32.

What is the greatest common factor?

The greatest common factor is the largest positive number which can be divided into given numbers evenly. The greatest common factor is the highest number which divides all the given numbers completely.

Given numbers 64, 160 and 224. The greatest common factor is calculated by factorizing the given numbers.

Factorize number 64.

64 = 2x2x2x2x2x2

Factorize the number 160.

160 = 2x2x2x2x2x5

Factorize the number 224.

224 = 2x2x2x2x2x7

The common number between all three numbers is 2² or 32. Therefore, the greatest common factor of 64,160, and 224 will be 32.

To know more about the greatest common factor follow

https://brainly.com/question/219464

#SPJ2

someone please help! i need this answer!

Answers

Answer:

C

Step-by-step explanation:

Answer:

(b)

Step-by-step explanation:

Sarah works 6 hours a day, Monday through Friday. What is her pay for a week?

Answers

Answer:

No one can answer unless you include the money per hour or day or week

Step-by-step explanation:

Answer:

well she works 5 days since it says monday through friday so 5 x 6 =30 she works 30 hours a week but you didnt out how much she early for each hour or one day so thats all you can figure out

Step-by-step explanation:

The value of a stock dropped a total of $18 over a 3-day period. Each day during this stretch the value dropped the same amount. What integer represents the change in the value of the stock after the first day?

Answers

1/3 of 18 = 6

the song dropped $6 each day

Answer: -6

Step-by-step explanation:

The value of a stock dropped a total of $18 over a 3-day period meaning -6 dollars each day.

-18/3

What is the slope of the line 6,3 and 3,2

Answers

The equation of a line passing through (x1,y1) having slope m is y−y1=m(x−x1) . Therefore, the equation of a line passing through (6,−3) having slope 23 is y−(−3)=23(x−6)or3(y+3)=2(x−6)or2x−3y=21

Solve 2x>8 or 2x< 4. ​

Answers

Answer:

2x=8

x=8/2

x=4

2x=4

x=4/2

x=2

7(2 - 3x) - 10
Simplify expressions

Answers

Answer:

4-21x

Step-by-step explanation:

Dec 18, 11:45:23 AM
Angle A and Angle Bare complementary angles. If m angle A = (4x – 28)° and m
Angle B= (x - 2)°, then find the measure of angle A.
Submit Answer
Answer:

Answers

Answer: 68*

Step-by-step explanation: In pic

11. The number of students in Madison Elementary School increased from 365 students last year to 397 students this year. What was the percent of increase in the student population?

10 POINTS FOR ANSWERING WITH EXPLANATION​

Answers

Answer:8.76712328...%

Step-by-step explanation:

1.Find the increase in students. 397-365=32

2. Take the ratio and put it into percent. 32/365=x/100

3. Cross multiply. 32 x 100=365x

4.Solve. X=8.76712328...%

It is repeating forever like this.

8.767123287671232876712328

Is y a function of x? Or not?
And explain?

Answers

Answer:

Y is NOT a function of X

Step-by-step explanation:

I guess this because it doesn't go in a pattern.

Meg is a veterinarian. She found that 10,or 33%,of the dogs she saw this week were boxers. Steve is also a veterinarian. He found that 4 of the 20 he saw this week were boxers. Does each person need to find the​ part, the​ whole, or the​ percent?

Answers

the part not the whole

7. Which criteria for triangle congruence allows
you to immediately conclude that the triangles
are congruent with any extra steps?
a.
b.
SAS
AAS
HL
none
C.

Answers

Answer:

Option (B)

Step-by-step explanation:

From the figure attached,

Given:

AB ≅ CD

To prove :

ΔABC ≅ ΔCDA

              Statements                       Reasons

1). AB ≅ CD                             1). Given

2). AC ≅ AC                           2). Given

3). ΔABC ≅ΔCDA                  3). HL property of congruence

Therefore, Option (B) is the correct option.

Answer:

the answer is aas

Step-by-step explanation:

im sure u aint go read dis but the explanation is that the congruency of aas also know as angle-angle-side shows and appears many times due to the fact that if u were to split the two triangles apart there would be to angles and one side on each triangle

Anna has more money than Betty. If Anna gave Betty $200, then they would have the same amount of money. While if Betty gave Anna $220, Anna would then have twice as much as Betty. Calculate the amount of money each girl has using the substitution method

Answers

Answer:

Anna has $1460

Betty has $1060                                                      

Step-by-step explanation:

let Anna's money be x

and Betty's money be y

If Anna gave Betty $200, then they would have the same amount of money

Anna's money will reduce by 200

x=x-200

Betty's money will increase by 200

y= y+200

if they have the same amount of money, the difference will be zero

x-200=y+200

x-200-y-200=0

x-y-400=0

x-y=400--------------1

this means that Anna has $400 more than Betty

if Betty gave Anna $220, Anna would then have twice as much as Betty.

Betty's money will reduce by 220

y=y-220

Anna's money will increase by 220

x=x+220

Anna's money will double that of Betty's

x+220=2(y-220)

x+220= 2y-440

x=2y-440-220

x=2y-660--------------------2

put x= 2y-660 in eqn 1

(2y-660)-y=400-------------------------1

2y-y=400+660

y= 1060

so Betty has $1060

put y= 1060 in eqn 1

x-y=400

x-1060=400

x=400+1060

x=1460

so Anna has $1460

Please help easy ten points.

Answers

Answer:

Yes

Step-by-step explanation:

i believe they are all yes.

A school lunch program serves 13,000 students. The program orders 3,250 pounds of chicken for the students. Determine how many pounds of chicken each student can have.​

Answers

Answer:

0.25 or 1/4

Step-by-step explanation:

easy - 3250 pounds divided by 13000 students

everyone will get 0.25 or 1/4 of a pound of chicken

hope this helps!!

Have a nice day!

please help !!

find the slope of the line through each pair of points ( -5, 10) , (-16, 8)

Answers

Answer:

-2/11

Step-by-step explanation:

y2-y1/x2-x1

8-10 / -5 -(-16)

-2/-5 + 16

-2/11

hi ok pls help me 78/90 divided by - 68/190

Answers

Answer:

-0.00006707946

Step-by-step explanation:

I just looked up the equation and this came up on a calculator. Next time just look it up on google. :) Have a nice night

You and your friends want to take a vacation to florida. The 5 of you will split the cost of the trip evenly. Each person has said that they would chip in up to $600 for the trip. What amounts represent possible total costs of the trip?

Answers

Answer:

[tex]Total\ Cost = \$3000[/tex]

Step-by-step explanation:

Given

[tex]Individuals = 5[/tex]

[tex]Cost = \$600[/tex] --- per individual

Required

Determine the total costs

Since each individual brings the same amount.

The total cost is calculated as follows:

[tex]Total\ Cost = Cost * Individuals[/tex]

[tex]Total\ Cost = \$600 * 5[/tex]

[tex]Total\ Cost = \$3000[/tex]

A wire is needed to support a vertical pole 4 feet tall. The cable will be anchored to a stake 3 feet from the base of the pole. How
much cable is needed?
4 ft
3 ft
A cable of length
feet is needed.
Enter your answer in the answer box.

Answers

Answer:

I think its 5 feet

Step-by-step explanation:

I used Pythagorean theorem


Find the length of BC.
A)8
B)12
C)16
D)18

Answers

Answer:

i think its A (edit: im gonna take that back because i was looking at the wrong side, logically it is 12)

Step-by-step explanation:

Answer:

B. 12

Step-by-step explanation:

logically speaking is 12

HELP PLEASE Which of these mappings is a function?

Answers

Answer:

B; x is the one that's a function because for every input there is one output. for all the other ones a x-value has two y-values and that's not function.

Step-by-step explanation:

Solve the equation for x:
-3(x + 4) + 5x = 24

Answers

Answer:

[tex]-3(x + 4) + 5x = 24\\\\-3x - 12 + 5x = 24\\\\2x - 12 = 24\\\\2x = 36\\\\x = 18[/tex]

The solution for x in this equation is 18.

Answer:

x = 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-3(x + 4) + 5x = 24

Step 2: Solve for x

Distribute -3:                    -3x - 12 + 5x = 24Combine like terms:        2x - 12 = 24Isolate x term:                  2x = 36Isolate x:                           x = 18

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                     -3(18 + 4) + 5(18) = 24Add:                                      -3(22) + 5(18) = 24Multiply:                                -66 + 90 = 24Add:                                      24 = 24

Here we see that 24 does indeed equal 24.

∴ x = 18 is the solution to the equation.

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

Answers

I believe it’s 315 inches
180 x .75 = 135 then add that to 180
So, 180+135 = 315

Find the height of a triangle with a base of 4 1/4 cm and an area of 5 5/16 cm squared

Answers

Answer:

hb=2.5

Step-by-step explanation:

base = 4

area  =  5

Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being “very satisfactory.” This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey?

Answers

Answer:

320 Customers took the survey

Step-by-step explanation:

Answer:

Step-by-step explanation:

144 is 45% of the total customers who took the survey.

Total customers who took survey= 144 × 100/45 = 320

triangle vertices for A(-3,6)B(-5,4)C(-1,1)​

Answers

Answer:

we can't graph for u on brainly sorry.

Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?

Answers

Answer:

85 in intreset and 935 totoal

Step-by-step explanation:

Answer:

A = $935.00

I = A - P = $85.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Solving our equation:

A = 850(1 + (0.05 × 2)) = 935

A = $935.00

The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.

Answer:

85

Step-by-step explanation:

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