Situation:
A 33 gram sample of a substance that's
used to detect explosives has a k-value
of 0.1473.
N = Noe
-kt
No = initial mass (at time t = 0)
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days

Find the substances half life, and days. Round your answer to the nearest 10th

Answers

Answer 1

Answer:

Half life = 4.7 days

Step-by-step explanation:

Formula to get the final amount of the substance after the time 't',

[tex]N_t=N_0e^{-kt}[/tex]

Here, [tex]N_t[/tex] = Final amount of the substance

[tex]N_0[/tex] = Initial amount

k = decay constant

t = Duration or time

Now by substituting the values in the formula,

[tex]N_t=N_0e^{-0.1473t}[/tex]

If [tex]N_t=\frac{1}{2}(N_0)[/tex] [For half life]

[tex]\frac{1}{2}(N_0)=N_0e^{-0.1473t}[/tex]

[tex]\frac{1}{2}=e^{-0.1473t}[/tex]

[tex]2=e^{0.1473t}[/tex]

ln(2) = [tex]\text{ln}(e^{0.1473t})[/tex]

0.69315 = 0.1473t

t = 4.71 days

t ≈ 4.7 days

Therefore, half life of the substance is 4.7 days.

Answer 2

Answer:

4.7

Step-by-step explanation:

Situation:A 33 Gram Sample Of A Substance That'sused To Detect Explosives Has A K-valueof 0.1473.N =

Related Questions

Can someone please help me i really don’t know this
;( !!!

Answers

Answer:

the solution is (3,-5)

Step-by-step explanation:

Graph the points then get the solution

Answer:

the answer(2, -5)

Step-by-step explanation:

hope i helped u

Divide. 3/5 by 4 lol

Answers

that gives you 0.15

Answer:

0.15

Step-by-step explanation:

This is urgent PLEASE help me

Answers

Answer:

at -6

Step-by-step explanation:

hope that help

WILL GIVE BRAINLIEST but you have to show your work

Answers

Answer:

x=-3

Step-by-step explanation:

[tex]\sqrt{x+7}-x=5\\\sqrt{x+7}=5+x\\x+7=x^2+10x+25\\x^2+9x-18=0\\(x+3)(x+6)=0\\x=-3, x=-6\\\sqrt{-3+7}-(-3)=5\\\sqrt{-6+7}-(-6)=7=5[/tex]

x=-6 is extraneous because 7 does not equal to 5

x=-3 is the answer because 5=5

Guys can you please help me ?!!!!!!):

Answers

Answer:

12+20=32

32/2=16

20-16=4

Vertex x-int is 4.

Step-by-step explanation:

A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with O's representing Incorrect answers
and 1's representing correct answers, to answer the following question:
What is the probability of correctly guessing at random exactly one correct answer? Round to the nearest whole number.

Answers

Answer:

It is 4

Step-by-step explanation:

Alfonso runs 10 km at an average speed of x km/h.
The next day he runs 12 km at an average speed of (x - 1) km/h.
The time taken for the 10km run is 30 minutes less than the time taken for the 12 km run.
(a) (i)
Write down an equation in x and show that it simplifies to x? – 5x – 20 = 0.​

Answers

Step-by-step explanation:

Note that t = d/r where t is time, d is distance, and r is rate/speed.

We can come up with two equations with the information given and the equation:

t_1 hr = (10 km)/(x km/hr)

t_2 hr = (12 km)/(x - 1 km/hr)

where t_1 is the time taken to run the 10km the first day and t_2 is the time taken to run the 12km the second day.

We know that 30 minutes is 1/2 of an hour and that t_1 is 30 minutes less than t_2 (as stated in the question). Therefore, we can write:

t_1 = t_2 - 1/2

Substituting the values we derived:

(10 km)/(x km/hr) = (12 km)/(x - 1 km/hr) -1/2

Then we can evaluate by multiplying by 2x(x-1) on both sides:

20(x-1) = 24x - (x)(x-1)

20x - 20 = 24x - x^2 + x

x^2 -5x -20 = 0

And we are done.

I hope this helps! :)

An equation is formed when two equal expressions. The equation for the time can be written as (12/x-1)-(10/x)=0.5. The value of x is 7.623.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A.) Given Alfonso runs 10 km at an average speed of x km/h. Therefore, the time taken by Alfonso to rum 10km is 10/x hour.

Also, The next day he runs 12 km at an average speed of (x - 1) km/h. Therefore, the time taken by Alsonso to run 12km is 12/(x-1) hour.

Now, the time taken for the 10km run in 30minutes(0.5 hours) is less than the time taken for the 12 km run. Therefore, we can write,

[tex]\dfrac{12}{(x-1)}-\dfrac{10}{x} =0.5[/tex]

The equation for the time can be written as (12/x-1)-(10/x)=0.5.

B.) The value of x can be written as,

[tex]\dfrac{12}{(x-1)}-\dfrac{10}{x} =0.5\\\\12x-10(x-1)=0.5 \times x \times (x-1)\\\\12x - 10x +10 = 0.5x^2-0.5x\\\\2x+10 = 0.5x^2-0.5x\\\\0=0.5x^2 - 2.5x -10\\\\x = -2.623, 7.623[/tex]

Since the time can not be negative. Hence, the value of x is 7.623.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

If the terminal point determined by t is (-5,-4), then
\sin (t) =
;
\cos (t) =
;
\tan (t) =
.

Answers

Answer:

The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].

Step-by-step explanation:

Let [tex]\vec u = (x,y)[/tex]. From Trigonometry, we remember the following definitions for the trigonometric ratios, dimensionless:

[tex]\sin t = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)

[tex]\cos t = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

[tex]\tan t = \frac{y}{x}[/tex] (3)

If we know that [tex]x = -5[/tex] and [tex]y = -4[/tex], then the trigonometric ratios are, respectively:

[tex]\sin t = \frac{-4}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]

[tex]\sin t \approx -0.625[/tex]

[tex]\cos t = \frac{-5}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]

[tex]\cos t \approx -0.781[/tex]

[tex]\tan t = \frac{-4}{-5}[/tex]

[tex]\tan t = 0.8[/tex]

The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].

What is 10- 6 1/2? long way

Answers

Answer:

3 1/2

Step-by-step explanation:

10-6 1/2

20/2 -6 1/2

20/2- 13/2= 7/2

7/2= 3 1/2

Answer:

[tex]\frac{20}{2\\} \\[/tex] - [tex]\frac{13}{2}[/tex] = [tex]\frac{7}{2}[/tex]  or 3[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

make the denominator the same.

so

10*2= 10 so

[tex]\frac{20}{2\\} \\[/tex]

then 6*2= 12+1= 13 so

[tex]\frac{13}{2}[/tex]

20-13= 7

so now

[tex]\frac{7}{2}[/tex]  which is equal to 3[tex]\frac{1}{2}[/tex]

Hope this helps! (ノ◕ヮ◕)ノ*:・゚✧\

Have a nice day!! ( ゚д゚)つ Bye


PLS HELP WILL GIVE BRAINLIEST AND POINTS PLS HELP



















A bird supply wholesaler wants to make a seed that costs $0.75 per pound out of 50 pounds of a $0.60 per pound seed and some
amount of a $0.90 per pound seed. How much of the $0.90 per pound seed should the wholesaler use to make his 50.75 per pound
seed?

A)
2 pounds

B)
30 pounds

c)
50 pounds

D)
60 pounds

Answers

Answer:

it is c

Step-by-step explanation:

The answer is definitely c

Need help
Please answer anyone show work

Answers

Answer:

it is d 100%

Step-by-step explanation:

Answer:

its D i would show work but ion have my phone i did this before

Step-by-step explanation:

Can someone help meh on this question?

Answers

the answer is b. she took too much money out of her account (overdrew) & that’s why her balance is negative
The answer is B because it is negative

Refer to the figure.




If m∠BDC=(8x+12)° and m∠FDB=(12x−32)°, find m∠FDE.

Answers

Answer:

x=11

Step-by-step explanation:

And you didnt give the equation for FDE but substitute 11 in for X

What is the slope to y = 2x + 4

Answers

Answer:

2

Step-by-step explanation:

the number right next to the x is the slope, if there is no number, then the slope is 1

your equation in a y = mx + b format"

y is the outputm is the slopex is the inputb is the y intercept

Mia made three times as many baskets in yesterday’s basketball game as she did last Saturday. She scored a total of 24 baskets for both games. How many baskets did Mia score last Saturday?

Answers

Based on the information presented, it can be inferred that Mia made 8 baskets last Saturday.

How to calculate how many baskets Mia made last Saturday?

To calculate the number of baskets Mia made last Saturday we must take into account the following information:

Yesterday she made 24 baskets.Last Saturday she made 3 times fewer baskets than yesterday.

To calculate the number of baskets Mia made, we must divide 24 by 3 to find the number of baskets she made last Saturday.

24 ÷ 3 = 8

So, it can be inferred that Mia made 8 baskets last Saturday.

Learn more about division in: https://brainly.com/question/369266

You can name a plane with 3 Collinear points

True or False??

Answers


A plane is a flat surface that extends infinitely in all directions. A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. ... For example, the plane in the diagram below could be named either plane ABC or plane P .

Write the following statement as a mathematical expression.

Let x be a number.



The quotient of two and a number, subtracted from seventeen

Answers

Answer:

17 - (2 / x)

Step-by-step explanation:

because it is being subtracted from 17. that goes first, and then x is being divided by 2.

Hope this helps!

Answer:

17 - (2 / x)

Step-by-step explanation:

i just did it and got a 100%

3 fair coins are tossed.
a) What is the probability of getting all 3 heads? (My Answer is 1/8)
b) What is the probability of getting all 3 tails? (My Answer is 1/8)
c) What is the probability of getting all 1 head and 2 tails? (My Answer is 3/8)
d) What is the probability of getting all 2 heads and 1 tail? (My Answer is 3/8)
My Question:
e) What do the probabilities from parts (a) to (e) add up to?

Answers

Answer:

1/8 + 1/8 + 3/8 + 3/8 = 2/8 + 6/8 = 8/8 = 1

So the answer would be 1.

please find the circumceneter of the triangle

Answers

Answer:

Draw the perpendicular bisector of each line of each line.

Step-by-step explanation:

Because this is a right triangle, the circumcenter will always be located at the midpoint of the hgypotenuse.   Locate those coordinates and you have the circumcenter.

Write the standard form of the equation y - 6 = 3/4 (x - 5).

Answers

Answer:

3x-4y=-9

Step-by-step explanation:

Answer:

[tex]y=\frac{3}{4}x+\frac{9}{4}[/tex]

Step-by-step explanation:

[tex]y-6=\frac{3}{4}(x - 5)[/tex] to y = mx  + b

[tex]y-6=\frac{3}{4}(x-5)\\\\Distribute;\\\\y-6=\frac{3}{4}x-\frac{15}{4} \\[/tex]

Add 6 to both sides;

[tex]-\frac{15}{4}+6 =-\frac{15}{4}+\frac{6}{1} \\\\\frac{-15+24}{4} =\frac{9}{4}[/tex]

Kevin painted 24 sculptures in 5 days. Which of the following is not a unit rate for the situation?

Answers

Answer:

????????

well the unitrate is 4.20 sculpture in a day

So maybe just find the ones that is not equal to this :)

.........................

Answers

Answer: C

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

PLEASE HELP!!
finding square roots of negative numbers

show your work

1-) V-18

2-) 2V-16

Answers

Answer:

Work shown below!

Step-by-step explanation:

[tex]\sqrt{-18}=\sqrt{18i^{2} } =\sqrt{2*9i^{2} }=3i\sqrt{2}[/tex]

[tex]2\sqrt{-16} =2\sqrt{16i^{2} } =4i*2=8i[/tex]

A student bought 15 stamps, some were 50 yen stamps and some were 80 yen stamps. She paid 960 yen.

Answers

Answer:

I think it's a..... I think it's a carrot

Solve the inequality for X.
4x<32

Answers

Answer:

x is less than 8

help me pleaseeeeeeeeeeee

Answers

Step-by-step explanation:

57+90+x=180

147+x=180

x=33

<4= 33°

Mark was remodeling his house. He took 26 2/3 square feet from 3 different rooms. What was the average change in square footage per room?


-9/80

-80

-26 2/9

-8 8/9





Please help!

Answers

Answer: 8 8/9

Step-by-step explanation:

From the question, we are informed that Mark was remodeling his house and that he took 26 2/3 square feet from 3 different rooms.

The average change in square footage per room will be calculated as:

= 26 2/3 ÷ 3

= 80/3 × 1/3

= 80/9

= 8 8/9

Therefore, the answer is D.

DEF JIH

Someone help me please

Answers

Answer:

ED is congruent to IH

ED is congruent to IH

Kylan had 1 ⅜ kilograms of fertilizer. He used some to fertilize a flower bed, and he only had ⅔ kilograms left. How much fertilizer was used in the flower bed?

Answers

Answer: 17/24

Step-by-step explanation:

let x be the fertilizer used in the flower bed

to find how much he has left

1 3/8 - x = 2/3

the fraction 1 3/8 we can write as 11/8

11/8 - x = 2/3

11/8 -2/3= x

we need the common denominator between 8 and 3, which is 24

33/24-16/24=17/24

who wants to play rocket league with me

I'm gold3 so sry​

Answers

Answer:

Bet

Step-by-step explanation:

Answer:

Your on

Step-by-step explanation:

Does someone have a fennec in rocket league and someone who can trade it on switch?

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