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


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Solve the inequality. 4v + 9 ≤ 5 or -3 >= -6​

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Answer:

v ≤  − 1   or  Always true

Step-by-step explanation:

I hope this helps!

Answer:

v ≤  − 1

Step-by-step explanation:

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If n is an integer and n×10 is a negative number, which of the following statements must be true?

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Answer:

N is a negative number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is n < 0.

Step-by-step explanation:

Hope this helped!

describe this number line and the numbers and fractions shown.​

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Answer:

Every real number other than zero is either positive or negative. The non-negative whole numbers are referred to as natural numbers (i.e., 0, 1, 2, 3...), while the positive and negative whole numbers (together with zero) are referred to as integers. (Some definitions of the natural numbers exclude zero.)

Step-by-step explanation:

Answer:

Sample Response: The number line shows -2 through 2, divided into fourths, with zero in the middle. The numbers increase as you move right and decrease as you move left.

                                                                    Plz mark brainlest

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Which correctly describes how the graph of the inequality -5x+3y>9

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What’s are the answer choices??

3x + 5 = 2x + 7 What should you do first to isolate the variable?

Answers

Answer:

you can subtract 2x from both sides

Then subtract 5 from both sides.

x = 2 is what the equation gives you

Step-by-step explanation:

You can do one of two things.

1. You can subtract 2x from both sides of the equation

or

2. You can subtract 5 from both sides of the equation.

Either one will give you the correct answer.

3x - 2x + 5 = 2x - 2x + 7    Combine the xs

1x + 5 = 7                             Subtract 5 from both sides.

x + 5-5 = 7-5

x = 2

Answer:

subtract the lowest variable from the highest variable.

Step-by-step explanation:

3x+5=2x+7

1x+5=7

add the 5 to the 7

12

divide 12 and the 3x

Answer: 4.

x=4

Which table does not show y as a function of x please show explation

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The second table because all of the Y axis are different

geometry lol i don’t know !!!

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Bejeweled w whenever w wnekfkdkkwmwn ddndkkelenen

Answer: 1

Step-by-step explanation:

8x -1 = 4x + 3

-4x    - 4x

4x -1 = 3

     +1  +1

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Given: angle 1= angle 2
If AB=10,AC=6,and BC=6, find AD.

A.5
B.15
C.10​

Answers

Answer:

AD=5

Step-by-step explanation:

We are given that

AB=10, AC=6 BC=6

We have to find the value of AD.

Let AD=x

BD=AB-AD

BD=10-x

Credits to: lublana

 

Step-by-step explanation

What is the slope of a line that passes through (0,4) (6,13)

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Answer:  m=3/2

.

Step-by-step explanation:Use the slope formula to find the slope  

m

.

hey! can you all answer this problem for me please =) its for a test :)

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Answer:

Well.. Brainly isn't made for test answers and it breaks their rules, but I will answer..  Not right now tho cus im in math class doing problems but I PROMIS that I WILL edit this and put the answer in. (The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest.

- •Trix•

( Yes I know my - •Trix• thingy is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

Answer: it B

Step-by-step explanation: because first 2 = 2/1 / 1/3 but u can’t divide them so you change divide sign on multiple so means 2/1 * 1/3 but the 1/3 flips numbers 3/1 so 2/1 * 3/1 = 6

for a relation to be a function what must never happen

Answers

Answer:

Step-by-step explanation:

A function is a relation in which each input has only one output

so a relation cannot have more than one output

Answer:

each input (x-value) only has one output (y-value)

Step-by-step explanation:

you can use the vertical line test; pretend to draw vertical lines and if there are two point on the graph where the vertical line touches, it cannot be considered function.

If you are in a store and there is a discount sale u buy something and the original price was $45 and the discounted price was $18 what was the discount?

Answers

Answer:

Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our ... Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, ... There is a sale for 20% off on a sweater your grandma wants to buy you for ... the store and gets an additional 25% discount off the already discounted sale price.

(:

Answer:

40% off. 40% of 45 is 18

Step-by-step explanation:

How would you solve 5x+9=x-23

Answers

Step-by-step explanation:

5x+9=x-23

5x-x=-23-9

4x=-32

4x/4=-32/4

x=-8

Answer:

x=-8

Step-by-step explanation:

5x+9=x-23

Add 23 on both sides

23 cancels on right side of the equation

5x+32=x is what you have now

Now subtract 5x on both sides

5x cancels on left side of the equation

32=-4x is your new equation

Divide -4 on both sides of the equation

-8=x is now your answer

Hope this helps!!

PLEASEEEEE HELP ME
yes, hl
yes, asa
no not enough info
yes, sas

Answers

Answer:

a) Yes, HL

Step-by-step explanation:

[tex]We\ know\ that:\\Both\ triangles\ are\ right\ triangles. (90\ degree)\\They\ share\ a\ common\ side.\\They\ have\ their\ hypotenuses\ corresponding.\\Hence,\\Through\ HL(If\ the\ hypotenuse\ and\ any\ leg\ of\ the\ triangles\ are\ corresponding,[/tex][tex]then,\ the\ two\ triangles\ are\ congruent.)[/tex]

[tex]We\ can\ hence,\ conclude\ that\ the\ given\ triangles\ are\ congruent.[/tex]

if 2/3 = x/12, what us the value of x ?​

Answers

Answer:

x=8

Step-by-step explanation:

please help
Greater than
Less than
or Equal to

Answers

I think equally tooo

(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

of this data set 56, 57, 57, 58, 59, 60, 60, 60, 62, 64, 64, 66, 67, 67, 67, 68 what's the mean absolute deviation

Answers

Answer:

3.625

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

“To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean” you are basically adding all the numbers together and dividing by the amount of numbers there

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1
Triangle ABC can be taken to triangle A'B'C'using rigid motions and a dilation,

Select all the equations that are true,

Answers

Answer:

1st, 4th and 5th equations

Step-by-step explanation:

Correct ratios as per diagram are:

1st, 4th and 5th equations

2nd and 3rd equations are incorrect as showing incorrect ratios or not corresponding sides.

Answer:

mine is in different order

Step-by-step explanation:

Question to
Questions of 8 Page 3
Lights on the Lake charges $10 per car plus $2 for every person in the car. If the
total charge is represented by T, and the number of people in the car is represented
Write an equation for the cost of each car .

Answers

Answer:

T=10c+2p

Step-by-step explanation:

Alana is purchasing a $160,000 home and her bank is offering her a 30-year

mortgage at a 4.9% interest rate. In order to lower her monthly payment,

Alana will make a 20% down payment and is considering a purchase of 3

points. How much lower will her monthly payment be if she purchases the

points?

Answers

Answer:

The amount by which her monthly payment will be lower if she purchases the points is $57.12.

Step-by-step explanation:

Since Alana will make a 20% down payment, the mortgage loan balance can be calculated as follows:

Mortgage loan balance = Mortgage amount – Down payment = $160,000 – ($160,000 * 20%) = $160,000 - $32,000 = $128,000

The amount by which her monthly payment will be lower if she purchases the points can now be calculated using the following steps:

Step 1: Calculation of monthly payment without purchasing 3 points

The monthly payment can be calculated using the formula for calculating loan amortization as follows:

P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)

Where,

P = monthly payment without purchasing 3 points = ?

A = Mortgage loan balance = $128,000

r = monthly interest rate = 4.9% / 12 = 0.049 / 12 = 0.00408333333333333

n = number of payment months = 30 years * 12 months = 360

Substituting all the figures into equation (1), we have:

P = ($128,000 * (0.00408333333333333 * (1 + 0.00408333333333333)^360)) / (((1 + 0.00408333333333333)^360) - 1)

P = $679.33

Step 2: Calculation of monthly payment if she purchases 3 points

Typically, each points purchased reduces the interest rate by 0.25%. Since Alana is considering a purchase of 3 points, her new interest rate can then be calculated as follows:

New interest rate = 4.9% - (0.25% * 3) = 4.9% - 0.75% = 4.15%

The monthly payment can also be calculated using the formula for calculating loan amortization as follows:

P3 = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (2)

Where,

P3 = monthly payment if 3 points is purchased = ?

A = Mortgage loan balance = $128,000

r = new monthly interest rate = 4.15% / 12 = 0.0415 / 12 = 0.00345833333333333

n = number of payment months = 30 years * 12 months = 360

Substituting all the figures into equation (2), we have:

P3 = ($128,000 * (0.00345833333333333 * (1 + 0.00345833333333333)^360)) / (((1 + 0.00345833333333333)^360) - 1)

P3 = $622.21

Step 3: Calculation of the amount by which her monthly payment will be lower if she purchases the points

This can be calculated as follows:

Amount of reduction = P - P3 = $679.33 - $622.21 = $57.12

Therefore, the amount by which her monthly payment will be lower if she purchases the points is $57.12.

Answer:

28.87

Step-by-step explanation:

i just did the quiz

Select all of the equations that passes through (5,2) and (0,18)??

25 points

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Answer:

A

E

F

those are the only three answers the rest of them are wrong

I=$24, P=$400, T=2years

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Answer:

rate = 24*100/(400*2) = 3%

Step-by-step explanation:

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Symbol

Words

Example

>

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