A 33 gram sample of a substance that's
used for drug research has a k-value of
0.1124.

Find the substances half life and the round your answer to the nearest 10th

Answers

Answer 1

9514 1404 393

Answer:

  6.2

Step-by-step explanation:

We presume your "k-value" is the k in the exponential decay term ...

  e^(-kt) . . . where t is the number of time units

This is 1/2 when ...

  ln(1/2) = -kt

  t = ln(1/2)/(-k) = ln(2)/k

  t = 0.69315/0.1124 ≈ 6.2

The half life is about 6.2 time units.


Related Questions

Help please mathematical answer pleas and I need it fast

Answers

Answer:

I gave the answer right for this

Which is the equation of a line perpendiculat to the line with the equation 3x + 4y = 7?

Answers

Answer:

What do you need to know?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the interquartile range of the following data set 3,9,12,4,6,40,25,14,10​

Answers

14.5 is the Interquartile range

To find it you take the 75th Percentile (19.5) and subtract it from the 25th Percentile (5)

19.5-5 = 14.5

Find x in each triangle! Will award brainliest

Answers

Answer:

First triangle x=9

Second triangle x=20

Step-by-step explanation:

Using Pythagorean theorem

40^2+x=41^2

1600+x^2=1681

-1600        -1600

x^2=81

To find x we do the opposite of powers and find the squared

x=9

Second triangle

21^2+x^2=29^2

441+x^2=841

-441        -441

x^2=400

x=20

What is the solution to this system of equations? 4x + 5y = 7
3x – 2y =-12
The solution is
(-2, 3)
(3.-1)
(18. -9)
(13,-9)​

Answers

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

15x - 10y = -60

Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

4x + 5y = 7

4(-2) + 5y = 7

Multiply.

-8 + 5y = 7

Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

3(-2) - 2(3) = -12

Multiply.

-6 - 6 = -12

Subtract.

-12 = -12

Your solution is correct.

(-2, 3)

Hope this helps!

In this combined function, the domain is all real numbers for x except? (x+6) / (x-9)

-6
6
9
-9

Answers

To find the excluded values, equal the denominators and the divisor to.

The answer is 9

add 8 and 17, double the sum, and then subtract three​

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is 47 as (18+7)×2-3=47.

hope this helps,have a great day!!

~Pinky~

An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the statement "add 8 and 17, double the sum, and then subtract three​" is 47.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The solution for the statement "add 8 and 17, double the sum, and then subtract three​" can be done as,

2(8+17) - 3

= 47

Hence, The solution for the statement "add 8 and 17, double the sum, and then subtract three​" is 47.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ2

HELP PLZZZ HELP I’ll give u BRAINLY

Answers

Answer:

1 Factor out the common term 22.

2(x+3y)=6

2(x+3y)=6

2 Divide both sides by 22.

x+3y=\frac{6}{2}

x+3y=

2

6

3 Simplify \frac{6}{2}

2

6

to 33.

x+3y=3

x+3y=3

4 Subtract 3y3y from both sides.

x=3-3y

x=3−3y

Answer:

x=3 and y=2

Step-by-step explanation:

I hope I"m right and if I am can I be marked brainliest.

In Prof. Leahy's class, if a student does homework most days, the chance of passing the course is 90%. On the other hand, if a student does not do homework most days, the chance of passing the course is only 30%. Prof. Leahy claims that 70% of his students do homework on a regular basis. If a student is chosen at random from Prof. Leahy's class, find the following probabilities:

a. p(the student did not do homework and he/she passed the course)
b. p(the student did not do homework given that she/he passed the course)

Answers

Answer:

a) p(the student did not do homework and he/she passed the course) = 0.09

b) p(the student did not do homework given that she/he passed the course) = 0.125.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. p(the student did not do homework and he/she passed the course)

If a student does not do homework most days, the chance of passing the course is only 30%. 100 - 70 = 30% don't do homework on a regular basis.

So

0.3*0.3 = 0.09

p(the student did not do homework and he/she passed the course) = 0.09

b. p(the student did not do homework given that she/he passed the course)

Conditional probability.

Event A: Passed the course

Event B: Did not do homework.

p(the student did not do homework and he/she passed the course) = 0.09

This means that [tex]P(A \cap B) = 0.09[/tex]

Probability that the student passes the course:

90% of 70%(do homework)

30% of 30%(do not do homework).

This means that:

[tex]P(A) = 0.9*0.7 + 0.3*0.3 = 0.72[/tex]

p(the student did not do homework given that she/he passed the course)

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]

So

p(the student did not do homework given that she/he passed the course) = 0.125.

solving steps for 2/3(9+x) = -5(4-x)​

Answers

Answer:

x = -6

Step-by-step explanation:

2/3(9+x) = -5(4-x) ( 2/3times9=6, 2/3timesx=2/3x) ( -5times4=-20,-5timesx=-5x)

6 + 2/3x = -20 -5x ( add 20 on both sides)

26 + 2/3x = -5x ( minus 2/3x on both sides)

26 = -4.6x (divided -4.6x on both sides)

-5.6 = x ( round up)

-6 = x

hope this helps

A full bottle holds 1/4gallon of juice, If of3/5
the juice has beenpored how much
juice is left in the bottle?

Answers

Answer:

1/10 gallon

Step-by-step explanation:

2/5 left of 1/4 gallon

2/5 x 1/4 = 2/20 = 1/10 gallon

A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You select a random sample of 100 bottles, the mean amount of water per 1-gallon bottle is 0.994 gallon, and standard deviation of the amount of water per bottle is 0.03 gallon.
You select a random sample of 50 bottles, and the mean amount of water per 1-gallon bottle is 0.995 gallon.
a. Is there evidence that the mean amount is different from 1.0 gallon? (Use α-0.01.)
b. Compute the p-value and interpret its meaning
c. Construct a 99% confidence interval estimate of the population mean amount of water per bottle.
d. Compare the results of (a) and (c). What conclusions do you reach?

Answers

Answer:

We fail to reject H0; Hence, we conclude that there is no significant evidence that the mean amount of water per gallon is different from 1.0 gallon

Pvalue = - 2

(0.98626 ; 1.00174)

Since, 1.0 exist within the confidence interval, then we can conclude that mean amount of water per gallon is 1.0 gallon.

Step-by-step explanation:

H0 : μ= 1

H1 : μ < 1

The test statistic :

(xbar - μ) / (s / sqrt(n))

(0.994 - 1) / (0.03/sqrt(100))

-0.006 / 0.003

= - 2

The Pvalue :

Pvalue form Test statistic :

P(Z < - 2) = 0.02275

At α = 0.01

Pvalue > 0.01 ; Hence, we fail to reject H0.

The confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 99% confidence level = 2.58

Margin of Error = 2.58 * 0.03/sqrt(100) = 0.00774

Confidence interval :

0.994 ± 0.00774

Lower boundary = (0.994 - 0.00774) = 0.98626

Upper boundary = (0.994 + 0.00774) = 1.00174

(0.98626 ; 1.00174)

Can someone help me with this?

Answers

Answer:

do you still need help?

Step-by-step explanation:

Lydia made some cookies, of which 1/3 were chocolate chip, ¾ of the remainder were gingersnaps and the rest were peanut butter. If Lydia made 4 dozen cookies altogether, how many peanut butter cookies did she make?
I mark brainliest by today

Answers

Skiffjsjdbbdbcbdhfhvvvvvvvvvvvv

Answer:

8 peanut cookies

Step-by-step explanation:

4 x 12  = 48

48 x  1/3 = 2/3 left             (16 chocolate chip)

48-16= 2/3 = 32 left          

32 x 3/4 = 24                     (24 gingersnaps)

32-24 = 8                          ( 8 peanut cookies)

Let X and Y be the following sets:
X = {5, 10, 15}
Y = {3, 6, 9, 12, 15}
Which of the following is the set
XUY?

Answers

Answer:

XuY = { 3,5,6,9,10,12,15}

What are the next 4 multiples of 4/8 in a fraction

Answers

Answer:

8/16, 12/24, 16/32, and 20/45

Step-by-step explanation:

PLEASE HELP ME SOLVE THIS.
STEP-BY STEP
THANK YOU !!!

I really don't know how to calculate this question.

(3 tan 45°)(4 sin 60°)-(2 cos 30°)(3 sin 30°)

Answers

Answer:

[tex]9\,\sin(60^\circ)[/tex], which is equal to [tex]\displaystyle \frac{9\sqrt{3}}{2}[/tex].

Step-by-step explanation:

An angle of [tex]45^\circ[/tex] corresponds to an isosceles right triangle: the length of the two legs (adjacent and opposite) would be equal. Accordingly:

[tex]\displaystyle \tan(45^\circ) = \frac{\text{Opposite Leg}}{\text{Adjacent Leg}} = 1[/tex].

Let [tex]A[/tex] denote the measure of an angle. Double-angle identity for sine:

[tex]2\, \sin(A) \cdot \cos(A) = \sin(2\, A)[/tex].

By this identity:

[tex]\begin{aligned}& (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 3\, (2\, \cos(30^\circ) \cdot \sin(30^\circ)) \\ &= 3\, \sin(2 \times 30^\circ) \\ &= 3\, \sin(60^\circ)\end{aligned}[/tex].

([tex]A = 30^\circ[/tex] in this instance.)

Hence:

[tex]\begin{aligned}&(3\, \tan(45^\circ)) \cdot (4\, \sin(60^\circ)) - (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 12\, \sin(60^\circ) - 3\, \sin(60^\circ) \\ &= 9\, \sin(60^\circ)\end{aligned}[/tex].

[tex]\displaystyle \sin(60^\circ) = \frac{\sqrt{3}}{2}[/tex]. Therefore, [tex]\displaystyle 9\, \sin(60^\circ) = \frac{9 \sqrt{3}}{2}[/tex].

Consider the figure below in which 411122.
a b
cld
4
elf
12
gh
Select the angle(s) that are congruent to Zc.


Options

Answers

Answer:

its a and d

Step-by-step explanation:

I’ll mark you if you get the right answer and I have another problem so if you can find it pls help!

Answers

Answer:

D

Step-by-step explanation:

1/2 * 3/4 equals 0.375 which is less than .5

.5= 1/2

so therefore,  im right i guess.

Solve the system of equations by graphing. Look at the picture. Will Mark Brainliest​

Answers

Answer:

See below

Step-by-step explanation:

Graphing:

we are given two functions

[tex] \displaystyle \begin{cases}f(x) = - x + 5 \\ g(x) = {x}^{2} - 3x + 2\end{cases}[/tex]

where f(x) is a linear function and g(x) is a quadratic function

we want to figure out the solutions of the function

let's graph f(x):

the Black-table is attached

let's graph g(x):

the picture is attached

hence, the graph should be

the graph is attached

solutions stating:

so we need solution(s) which satisfy(ies) the both functions

in this case the solution (s) the x coordinate(s) where both functions intercept we get from the graph that both functions intercept at (-1,6) and (3,2)

hence,

x={-1,3}

Ian needs to order some new supplies for the restaurant where he works. The
restaurant needs at least 593 spoons. There are currently 161 spoons. If each set on
sale contains 6 spoons, write and solve an inequality which can be used to determine
X, the number of sets of spoons Ian could buy for the restaurant to have enough
spoons

Answers

Answer:

72 sets

Step-by-step explanation:

(Easy way)

593 -161=432 spoons needed

432/6 =72 sets

(Harder way)

6= 1

432 =x

432 = 6x

x=72

Answer:

Inequality: 6x + 161 ≥ 593

Answer: x ≥ 72

Step-by-step explanation:

Have a good day :)

Can someone pls help with this

Answers

Answer: 4

Step-by-step explanation:

A store sells 8 cans of for ​$22. How much would it cost you to buy 3 cans of fruit cocktail? ​?

Answers

the answer is 8.25 or 8 1/4

you can get this by dividing 22 by 8 to see the price for one can. this gives you 2.75

now you want to know how much 3 cans would cost. we know one can costs 2.75, so we multiply that by 3.

this would give you 8.25 which is your answer

if this was useful please mark brainliest! (>∀<)

Answer:

3 cans of fruit cocktail would cost $8.25

Step-by-step explanation:

[tex] \frac{22}{8} = 2.75[/tex]

2.75*3=8.25

I WILL GIVE BRAINLIEST IF YOU ANSWER THIS QUESTION CORRECTLY!What is the shape of the distribution shown below?
Choose 1 answer:

(Choice A)
The distribution is left-tailed.

(Choice B)
The distribution is approximately symmetrical.

(Choice C)
The distribution is right-tailed.

Answers

Answer:

pretty sure it's B!

Step-by-step explanation:

B the distribution is approximately symmetrical

Mikaela has saved $375 to purchase a new phone. This is of the total price of the phone. What is the price of the phone?​

Answers

Answer:

$375

Step-by-step explanation:

If she has saved $375, and the price of the phone is also $375, then the price of the phone must be $375.

This data is an example of

A. a linear function

B. a nonlinear function

C. neither a linear nor nonlinear function - it is not a
function at all

Answers

Answer:

a nonlinear function I think because it's a quadratic one?? kinda

B because I learned about it

The base of a right triangle is 12 cm and its area is 210 cm². What is the length of its hypotenuse?

Answers

Answer:

The length of the hypotenuse is 37cm

Step-by-step explanation:

we know that the area of the triangle can be found by 1/2bh. we can plug in what we know into this formula to find the height.

a=1/2bh

210=1/2(12)h

210=6h

h=35cm

now, since it's a right triangle, we can find the length of its hypotenuse by using the pythagorean theorem, using c to represent the length of the hypotenuse:

12^2+35^2=c^2

c^2=144+1225

c^2=1369

c=37

so, the hypotenuse is 37cm

The length of the hypotenuse is 21.22 cm

How to determine the hypotenuse?

The given parameters are:

Area = 210

Base = 12

Start by calculating the height using:

Height = Area/Base

This gives

Height = 210/12

Divide

Height = 17.5

The hypotenuse is then calculated using:

Hypotenuse = √(Base^2 + Height^2)

This gives

Hypotenuse = √(12^2 + 17.5^2)

Evaluate

Hypotenuse = 21.22

Hence, the length of the hypotenuse is 21.22 cm

Read more about right triangles at:

https://brainly.com/question/23814470

This is due today!
A weather station on the top of a mountain reports that the temperature is currently 0 degrees Celsius and has been falling at a constant rate of 3 degrees per hour. If it continues to fall at this rate, what will the temperature be in 2 hours, and in 5 hours

Answers

Answer:

in 2hrs =  -6°C

in 5hrs = -15°C

in half an hr = -1.5°C

Step-by-step explanation:

in an hr, the temperature falls by 3°C = 0 -3 = -3°C

in 2hrs = 2*-3°C = -6°C

in 5hrs = 5*-3°C = -15°C

in half an hr = 0.5 * -3°C = -1.5°C

Step-by-step explanation:

Answer:

Wouldnt the temperture go up or down.. if its going up when in 2 hours the temperture would be at 6 degree and for 5 hours its would be at  15 degrees.

Step-by-step explanation:

3+2 5+3

Please help I’ll mark you as brainliest if correct !!

Answers

Y = 250x + 45

He is making 250 an hour, meaning that x would represent the hours worked. The 45 dollars is an initial pay meaning you would simply add that to the equation.

PLS HELP TIMEDDDDDD I NEED HELP

Answers

Answer:

Option 3:  81 pi cu. in

Step-by-step explanation:

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