half of the substance to remain is called the half-life of the substance.
The half-life of a pesticide is 10 years. A farmer initially applies 200 grams of the
pesticide to a fence post.
Complete the following statements.
After 20 years, there are
grams of pesticide left. Round your answer
to the nearest whole gram.
After 60 years, there are
grams of pesticide left. Round your answer
to the nearest hundredth of a gram.
After
years, there are approximately 1.03 grams of pesticide
left. Round your answer to the nearest whole year.

Answers

Answer 1

Answer:

Instructions are below.

Step-by-step explanation:

To calculate the final amount of a given substance, we need to use the following formula:

final amount= initial amount / (2^n)

n= elapsed time / half-life

For 20 years:

n= 20/10= 2

Final amount= 200/(2^2)

Final amount= 50 grams

For 60 years:

n= 60/10= 6

Final amount= 200/ (2^6)

Final amount= 3.125 grams

To calculate the elapsed time it is more complicated:

elapsed time= ln(ending amount/beginning amount) / (-decay constant)

ln= natural logarithm

decay constant= ln(2) / half-life

decay constant= 0.0693

elapsed time= ln(1.03/200) / (-0.0693)

elapsed time= 76.028

Prove:

n= 76.02/10= 7.602

Final amount= 200/(2^7.602)= 1.03 grams


Related Questions

Simplify the expression:
(-4 + v)(3) - =

Answers

Answer:

-12 + 3v Is the answer

Hope this helps :)

The difference of ten times a number and three is -13

Answers

Answer:

10n - 3 = -13

Step-by-step explanation:

Choose the mathematical sentence that most accurately expresses the
information in the problem, and would be most helpful in solving it.
After spending 5 dollars, you have 310 dollars left. How many dollars did you
start with?
OA. d + 5=310
OB. d-5= 310
OC. d= 310 - 5
OD. d+ 5 = 310
OE 5 d=310
OF 5d= 310

Answers

Answer:

B) d-5=310

Step-by-step explanation:

Hope this helps!

Is the equation 2x + 5 = 1 true, false, or open? Explain.

Answers

Answer:

open

Step-by-step explanation:

beacause

2x+5=1

2x=1-5

2x=-4

x=-4/2

x-2 so its open

An open statement is a statement that has an unknown variable

[tex]2x + 5 = 1[/tex] is an open statement

The equation is given as:

[tex]2x + 5 = 1[/tex]

From the equation, we have the following observations.

2, 5 and 1 are constants

x is a variable

Because the equation has a variable (i.e. x), then it is an open statement

Hence, [tex]2x + 5 = 1[/tex] is an open statement

Read more about open statements at:

https://brainly.com/question/11151728

What are the solutions of this quadratic?

Y=X^2 -2X

Answers

Answer:

this is my answer but it's on you if you think this answer is correct or wrong

17. Jenny is saving for a new 4-wheeler. The one she wants will cost her $784 total. She has saved $495 so far. If she is able to save $60 per week, how many weeks will it take for her to save at least $784?​

Answers

Answer:

5 weeks

Step-by-step explanation:

Divide. 5,346 ÷ 29 Enter your answer in the boxes as a mixed number in simplest form.

Answers

Answer:

[tex]190\frac{26}{29}[/tex]

Step-by-step explanation:

____190__

29 | 5346

     -29 (29*100=2900)

________

      2446

     -232 (29*90=232)

________

           26

Therefore, the answer is [tex]190\frac{26}{29}[/tex]

In the mixed form we can write → 5346 ÷ 29  as  [tex]$184\frac{10}{29} .\\[/tex]

We have the following operation -

5346 ÷ 29

We have to write the result of above division in mixed form.

What is Division Algorithm ?

The division algorithm says when a number 'a' is divided by a number 'b' gives the quotient 'q' and the remainder 'r' then the following relation exists-

a = bq + r

where 0 ≤ r < b.

This is also known as Euclid's division lemma.

According to the question, we have -

5346 ÷ 29

Let A = 5346 ÷ 29. Therefore -

A = [tex]$\frac{5346}{29} = 184\frac{10}{29} .\\[/tex]

Hence, in the mixed form we can write → 5346 ÷ 29  as  [tex]$184\frac{10}{29} .\\[/tex]

To solve more questions on Mixed numbers, visit the link below-

brainly.com/question/2753661

#SPJ2

How many solutions does the equation 24x-22=-4(1-6x) have?

Answers

Answer:

43

Step-by-step explanation:

just trust me

there are no solutions.

3х 4 = 3

what is the value of x?​

Answers

Answer:

1/3

Step-by-step explanation:

transfer 4 to the other side then the sign will be minus

then divide 1 by 3

Answer:

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):

(43,0)

y-intercept(s):

(0,4)

Step-by-step explanation:

hope this helps!

(Sorry if it doesn't)

:)

What is 20x - y = -40 in
slope-intercept form?

Answers

Answer:

y=20x+40

Step-by-step explanation:

slope-intercept form is y=mx+b. In order to place the equation into such format, you first need to move the 20x to the right, meaning you subtract it from both sides. you are left with -y=-20x-40. Since y cannot be negative or have any coefficient other than positive 1, you divide both sides by -1. -20/-1=20,, -40/-1=40,,-1/-1=1. Therefore, you are left with y=20x+40

What is the vertex of the equation f(x)=-4(x+2)^2+1

Answers

Answer: (-2,1)

Step-by-step explanation:

Step-by-step explanation:

and then we will have access you to get the information you want to cry because you have to be around and he said why he was about the feudal of his heart is the only way he could get his life back to

3(c+4) what's da answer

Answers

Answer:

c=4

Step-by-step explanation:

3(c+4)

3c+12

c=4

I hope this is correct and have a great day

please help me solve

Answers

Answer:

CD

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

2. Which of the following angles are
supplementary to Z2? Select all
that apply.
A 25 B 26 CZ7 D 28

Answers

Question is not clear, I believe some information is missing or you mistyped something..

Anyways supplementary angles are angles that add up to 180.

So you just need to choose the angle that if you add it to z2 (not sure what that is) it will give you a sum of 180.

On the other hand complimentary angles add up to 90.

Let tk be the number of ways to choose k beads from a drawer that contains 10 red beads, 8 blue beads, and 11 green beads. Find the generating function for the sequence {tk} 29 k = 0. Do not find a formula for tk.

Answers

Answer:

[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]

Step-by-step explanation:

From the given information;

The total number of beads  = 10 + 8 + 11 = 29

To choose k beads out 29 beads, let assume that [tex]t_k[/tex] be the no. such that:

[tex]t_k = ( ^{29}_{k}) \ \ \ where; k =0,1,2,3,....,29[/tex]

The sequence [tex]\{ t_k\}^{29}_{k=0} = (^{29}_{k})[/tex]

The generating function for [tex]\{ a_k \}^n_{k=0}[/tex] is:

[tex]G(x) = a_o +a_1x +a_2x^2 +...+a_nx^n[/tex]

[tex]G(x) = \sum \limits ^{n}_{k=0} \ a_k x^k[/tex]

For the sequence above;

[tex]G(x) = \sum \limits ^{29}_{k =0 } (^{29}_{k}) x^k[/tex]

By applying binomial series [tex](1+x)^n = \sum \limits ^n_{k=0} ( ^n_k) x^k[/tex]

Thus:

[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]

8 less than the product of 6 and a number is the same as 5 more than the number

Answers

Answer:

The algebraic expression will be:

8-6n = 5+n

Step-by-step explanation:

Given the statement in English words

''8 less than the product of 6 and a number is the same as 5 more than the number''.

Let us break down the statement into an algebraic expression

FIRST PART

Let 'n' be the number

In Mathematics, product  means multiply

so

The product of '6' and a number 'n' = 6n

∵Because 6 is a coefficient and n is a variable

now

8 less than the product of 6 and a number 'n' will be: 8-6n

2ND PART

5 more than the number 'n' means we need to add '5' into a number 'n'

i.e

5+n

COMBINE STATEMENT

Thus, the combined statement ''8 less than the product of 6 and a number is the same as 5 more than the number'' can be written as:

8-6n = 5+n

Thus, the algebraic expression will be:

8-6n = 5+n

VERIFICATION:

Let us verify by finding the value of n

8-6n = 5+n

8-5 = 7n

7n = 3

n = 3/7

substituting n=3/7 in the equation

8-6n = 5+n

8 - 6(3/7) = 5+(3/7)

38/7 = 38/7

TRUE

Thus, the equation is true.

plz help me this is a final!!!!

Answers

Answer: (a) 13 (b) 1

Step-by-step explanation: The absolute value of -6 is 6. That equal 6 plus 7 which is 13. In the second equation, add -6 and 7 first. That is 1 and the absolute value of 1 is 1.

Answer:

A.13 b.-1

Step-by-step explanation:

a 6+7=13

b 6- -7=-1


Determine the coordinates for the intersection of the diagonals in RSTK with vertices at
R(-8-2).S(-6, 7).
T(67), and U(4-2).
(-1.2.5)

Answers

Answer:

thanks for the points

Step-by-step explanation:

help
plz (A) 4.00
(B) 0.25
(C) 1.00
(D)0.10

Answers

Answer:

0.25

Step-by-step explanation:

2.00÷8=0.25 and the rate keeps going constant at a rate of 0.25

Joe has to take two quizzes tomorrow. He has only enough time to study for one of them. The science quiz has 6 true or false questions. The english quiz has 4 multiple choice questions.

Answers

Answer:

C) English

Step-by-step explanation:

I don't really know how to explain it, so I'll show you instead.

For science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.

So,

0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.016

For English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.

So,

0.25 x 0.25 x 0.25 x 0.25 = 0.004

They will have to study English (0.004) because it is lower than science (0.016).

The quiz he should study is; English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).

How to find Probability?

We are told that for science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.

Thus;

P(6) = 0.5⁶ = 0.016

We are told that for English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.

Thus; P(4) = 0.25⁴ = 0.004

Thus, we conclude that they will have to study English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).

Read more about Probability at; https://brainly.com/question/251701

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Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
1
-1 46

Answers

[tex]f(x)=2x^2+6x-4[/tex]

Find the f(-5) by substituting x = -5 in the equation.

[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]

Therefore, the answer is f(-5) = 16.

How would I solve this step by step? ​

Answers

Answer:

Step-by-step explanation:

you would add 60 + 90 then subtract it from 180

Answer:

Easy so it's a 90 degree angle so 90 goes at the end.

Example: 3x+60=90

60-60=0

and then 90-60=30

now u have 3x=30

after this u divide by 3

30/3=10

x=10

answer is 10

and also can u plz answer my recent question


Which point represents 27 on the graph?

O Point A
O Point C
O Point D
O Point E

Answers

Point c

It is just past the 2 mark

The figure shows a line graph and two shaded triangles to find the slope: (picture below)
Which statement about the slope of the line is true? SHOW YOUR WORK. (5 points)

a
The slope of the line is 3.

b
The slope of the line is fraction 1 over 3 .

c
The slope of the line is 1.

d
The slope of the line is 2.

Answers

Answer:

the answer is d because it is

Answer:

D is the slope

Step-by-step explanation:

PLZ HELP ASAP!!!!!


Which statement is true regarding the graphed function

A. f(0)=g(0)
B. f(-2)=g(-2)
C. f(0)=g(-2)
D. f(-2)=g(0)

Answers

I think it’s B but I’m prolly wrong

Find the measures of the indicated angles.

Answers

t=62 v=118 w=42 I think

Step-by-step explanation:

first, find the value of angle t

angles of a triangle add up to 180.

with this, we can set up the equation

180 = t + 62 + 56

t = 62

to find angle w, find the sum of the top angles

25 + 56 = 81

again, sum of angles in a triangle adds to 180.

since we have the bottom right angle and the top angle, we can find the bottom left angle

180 = 56 + 62 + w

w = 37

finally we can find angle v

180 = 25 + w + v

180 = 25 + 37 + v

v = 118

another approach would be to find angle v after finding angle t.

because the two angles are supplementary, they add up to 180

angle v + angle w = 180


Use the balanced hanger diagram to choose the equations
that best represents how to find the mass of the square.
A. 5t = 42
b. x + 27 = 4x + 15
C. 5t = 36
d. x + 15 = 4x + 12

Answers

Answer:jkcv

ijfklgjk

Step-by-step explanation:

vn vvcxkhvxcl

I need help pleaseeeeeee​

Answers

24 division
24 + 12 = 36 total
24:36 simplify = 2:3
The solution is 2:3

Answer:

1:2

Step-by-step explanation:

I need ya help please

Answers

X = 63 because they are complementary angles same degree! :) please mark brainliest

Solve the problem.

A used car is for sale for $8,950. If Jenny will pay for the car over a 5-year period, what will be her monthly payment, to the nearest dollar?

$149/month
$3,729/month
$1,790/month
$60/month

Answers

Answer:

60 months = $8950

l month = ?

8950÷ 60

= $ 149 per month

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