a 18 gram sample of a substance that's used to detect explosives has a k-value of 0.1226

Answers

Answer 1

Answer:

Given:

Initial mass = 18 g

k-value = 0.1226

The mass at time t (days) is

At half life, m = 18/2 = 9 g.

The time for half life is given by

Therefore

ln(1/2) = -0.1226t

Hence obtain

t = ln(1/2) / -0.1226

 = 5.654 days

Answer: 5.7 days (nearest tenth)

or

For this problem, we use the formula for radioactive decay which is expressed as follows:

An = Aoe^-kt

where An is the amount left after time t, Ao is the initial amount and k is a constant.

We calculate as follows:

A0 = 18

An = 18/2 = 9

k = 0.125

9 = 18 e^-0.125t

0.5 = e^-0.125t

t = 5.55 days


Related Questions

How long does daily skips take

Answers

About 30 minutes a day

First, Diana scores 12 points in total with three arrows. On her second turn, she scores 15 points. How many points does she score on her third turn?

Answers

Answer:

Third turn point = 21 points

Step-by-step explanation:

Given:

First turn point = 12

Second turn point = 15

Find;

Third turn point

Computation:

First turn point = 12

Assume;

Point for outer circle = a

Point for inner circle = b

So,

3a = 12

Point for outer circle = 4 point

Second turn point = 15

So,

2a + b = 15

2(4) + b = 15

Point for inner circle = 7

Third turn point = 3 x 7

Third turn point = 21 points

Help:( me please I don’t know what to do I completely for got it

Answers

Answer:

x=1

y=-2

point form- (1,-2)


not sure how to do this one! will mark brainliest

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]-\frac{12}{16} + \frac{11}{12}[/tex]

take lcm of the denominator

lcm=48

[tex]\frac{-12*3 + 11*4}{48}[/tex]

[tex]\frac{-36 + 44}{48}[/tex]

[tex]\frac{8}{48}[/tex]

[tex]\frac{1}{6}[/tex]

Answer:

[tex]=\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]-\frac{12}{16}+\frac{11}{12}[/tex]

the lcm of 16 and 12 is 48

[tex]-\frac{12}{16} =-\frac{36}{48}[/tex]

[tex]\frac{11}{12} =\frac{44}{48}[/tex]

[tex]-\frac{36}{48} +\frac{44}{48}=\frac{8}{48}[/tex]

[tex]=\frac{1}{6}[/tex]

Hope this helps

What is the value of x?

Answers

Answer:

x = [tex]29^{o}[/tex]

Step-by-step explanation:

Looking at the right triangle we see two congruent sides, which means that we can find the angles:

180 - 64 = 116° for both bottom angles of the right triangle, so 58° (116°/2).

Looking at the middle angle we know that left corner from the left triangle is 58° so the angle in the middle would be 180 - 58 = 122°.

Since the right triangle equals to 180° then we can find the missing values including x:

180 - 122 = 58° is the total angle for each corner of the right triangle. So x would be 58/ 2 = 29°.

Therefore x = 29°.

Ciara is naking a new outfit she needs 2 1/2 yards of the fabric for the shawl and 1 3/4 yards of fabric for the dress. If she has 3 yards of fabric,how much more does she needs?If the dance outfit is charged at $16 per yard how much will the dance outfit cost

Answers

Answer:

1 1/4 yards

$20

Step-by-step explanation:

The amount of fabric more that she needs can be determined by subtracting the sum of the yards needed for the shawl and the dress from the fabric she has

sum of the yards needed for the shawl and the dress =

[tex]2\frac{1}{2} + 1\frac{3}{4}[/tex]

[tex]3\frac{2 + 3}{4}[/tex] = [tex]3\frac{5}{4}[/tex] = [tex]4\frac{1}{4}[/tex]

Yards needed

[tex]4\frac{1}{4} - 3[/tex] = [tex]1\frac{1}{4}[/tex]

cost of dance outfit = $16 x [tex]1\frac{1}{4}[/tex]

[tex]\frac{5}{4}[/tex] × $16  = $20

Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone. What is Jalen’s error?
The height does not lie on the base because it is perpendicular to the base.
The radius does not lie on the base because it contains the center of the base.
The diameter does not lie on the base because it contains a radius of the circle.
The base does not contain the height, the radius, or the diameter because it is a circle.

Answers

Answer:

A, or "The height does not lie on the base because it's perpendicular to the base."

Step-by-step explanation:

EDGE 2021

Option A is correct, the height does not lie on the base because it is perpendicular to the base.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone.

We have to find the Jalen’s error.

As we know that height does not lies on the base because it is perpendicular to the base.

The Jalens error is that height does not lie on the base because it is perpendicular to the base is a error statement.

Hence, option A is correct, the height does not lie on the base because it is perpendicular to the base.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ7

The table represents the cost of flowers at the Tigerlily Flower Shop.

Answers

Answer:

The given table is

Quantity(x)     Price(y)

   1                  2.00

   2                 3.50

   3                 5.00

   4                 6.50

   5                 8.00

   6                 9.00

It means the points on the graph are (1,2), (2,3.50), (3,5), (4,6.50), (5,8) and (6,9).

The graph 1 represents all the above mentioned point, therefore option 1 is correct.

According to the graph 2, at quantity 6 the price of flower is 12, which is not correct. Therefore option 2 is incorrect.

The quantity of flower is always a whole number. So the graph is defined on the whole numbers only. It means the graph is a scatter plot instead of a curve of a straight line.

Therefore the option 3 and 4 are incorrect.

Step-by-step explanation:

find the number whose product with 2/211 gives 8/11​

Answers

Answer:

1688/22

Step-by-step explanation:

keep, change, flip

8. On what day did Alfonso run faster? Day Distance (m) Time (min) Monday 1,020 6 Wednesday 1,554 9 a. Wednesday b. Monday

Answers

I run faster than your mom because I need points
Ok

can someone please help me!!!! ​

Answers

Answer:

10 * 9 = 90

90/2 = 45

45 cm^2

45 cm :) forgive me if I’m incorrect

A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?

Answers

Answer:

3mm brainliest please

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

9mm times 1:3 of the rectangle is 245

BERE
Which function represents exponential decay?
o
f(x) = {
f(x) = (-)
o pux) = 4(-3)
Of(x) = 4

Answers

Step-by-step explanation:

Sorry I don't kNkw the amswer

Is this right? ASAP PLS HURRY!

Answers

no it isn’t u have to swap them out. is this right? asap pls hurry

Which number is larger

Answers

the answer is 9 hope this helps

Answer:

9

Step-by-step explanation:

When there are any negatives they will always be less then a positive.

-10,-9-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10

The larger the negative the less it is since its so far away from the middle (0)

-Greatest to least

-8,-5,3,9

Select the best answer to complete the sentence. A Rigid Motion or Isometry ______________________.

A. preserves length, angle measures and distance between points
B. preserves length and angle measures but not distance between points
C. is a transformation that changes the size of the figure
is a transformation with its image and pre-image not being congruent

Answers

Answer: A. preserves length, angle measures and distance between points

Rigid motions or isometries are any of the three transformations below

translation (aka shifting)rotationreflection

Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.

If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.

According to the graph, what is the factorization of x2 - 6x + 5?

A. (x + 5)(x+1)

B. (x - 5)(x+ 1)

C. (x - 5)(x - 1)

D. (x + 5)(x - 1)​

Answers

The factorization of x2 - 6x + 5 is (x - 1)(x -5)

How to determine the factorization?

From the graph, the zeros of the function are:

x = 1 and x = 5

Set the zeros to 0

x - 1 = 0 and x - 5 = 0

Multiply the zeros

(x - 1)(x -5) = 0

Hence, the factorization of x2 - 6x + 5 is (x - 1)(x -5)

Read more about factorization at:

https://brainly.com/question/11579257

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PLS ANSWER FAST 60 PTS

Answers

Answer:

72 sqrt(3) ft^2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

We can find the height by

tan theta = opp /adj

tan 60 = h /12

12 tan 60 = h

12 sqrt(3) = h

Then we can find the area

A = 1/2 bh  where b is the length of the base and h is the height

A = 1/2 ( 12) ( 12 sqrt(3))

A  = 72 sqrt(3) ft^2

PLEASE ANSWER ASAP!!!

Answers

Answer:

1/a^2 is the answer to this question

The answer will be B.

Simplify: 2⁶X5⁴X3¹²/2²x5²x3⁴​

Answers

Step-by-step explanation:

2⁶X5⁴X3¹²/2²x5²x3⁴

2⁴ × 5²×3⁸

Answer:

Step-by-step explanation:

[tex]\frac{2^{6}*5^{4}*3^{12}}{2^{2}*5^{2}*3^{4}}=2^{6-2}*5^{4-2}*3^{12-4}\\\\\\=2^{4}*5^{2}*3^{8}[/tex]

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}, m>n[/tex]

In exponent division, if both numbers have same base, subtract the exponents.

Which of the following is equivalent to
11/18?
A. 0.61
O B. 0.61
C. 0.61
D. 0.611

Answers

B! Hope this helped :)


The difference of two positive numbers is 14. The larger is twice the smaller decreased by 4. Find the two numbers.
X (smaller value)
X (larger value)

Answers

Answer:

the answer is given on the picture

Which point lies on both y=5x−3 and y=−4x+6 ?

(4, 14)

(3, 1)

(3, 10)

(2, 6)

(1, 2)

Answers

The answer is (1, 2)

[tex]\text{Solve for x:}\\\\3x + 65 = 523\\\\\text{Thank you.}[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]{x=152.666....[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for x...}}\\\\3x+ 65= 523\\----------\\\rightarrow 3x + 65 - 65=523-65\\\\\rightarrow 3x = 458\\\\\rightarrow\frac{3x = 458}{3}\\\\\rightarrow \boxed{x=152.666....}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

3x+65=523

3x=523-65

3x=458

x=458/3

x=152.66...

[tex]\text{ Thank ~you!! }[/tex]

Un vehículo se mueve en línea recta a una velocidad de 144 km/h durante 45 minutos. ¿Qué distancia recorre? Dar la respuesta en metros.
Ayudaaaaaa

Answers

Answer:

I can't understand.

Step-by-step explanation:

Sorry

Which answer is the correct answer above?

Answers

The answer is 24km..
The correct answer is 24 km.

The probability the Sam sleeps for less than 6 hours is 0.25 work out the probability that Sam sleeps for 6 hours or more

Answers

Step-by-step explanation:

h na jwhwwhwhwhwhwhwhwhwjjwjwjwjje i don't know thrle answer

pls check screenshot 50 points

Answers

Answer:

See below

Step-by-step explanation:

Part (a)

f(x - 1) is the translation of f(x) one unit right.

So the graph is exactly same shape but shifted right one unit.

Part (b)

f(x) has vertex (-1, 2)

The function y = f(-x) + 2 will have the vertex changed as per rule:

(x, y) → (-x, y + 2)

So the new vertex is:

(-1, 2) → (-(-1), 2 + 2) = (1, 4)

Factor the expression completely

8x2-18

A. 2(2x - 3)(2x + 3)

B. 2(2x+3)(2x - 3)

C. 2(4x2 – 9)

D. 2(4x+3)(x - 3)​

Answers

Answer:

2 ( 2x+3) (2x-3)

Step-by-step explanation:

8x^2-18Factor out the greatest common factor of 2

2( 4x^2 -9)

2 ( (2x)^2 - 3^2)

What is inside the parentheses is the difference of squares

a^2 - b^2 = (a+b)(a-b)  

2 ( 2x+3) (2x-3)

Answer:

B. 2( 2 x + 2 ) ( 2x - 3 )

Step-by-step explanation:

8 x² - 18

2 ( 4 x ² - 9 )

2 ( ( 2x ) ² - ( 3 )²)

2 ( 2 x + 3 ) ( 2x - 3 )

I will give BRAINLIEST to the correct answer

Answers

Answer:

<PCH+<HCK=180-DEGREE BEING IN A STRAIGHT LINE.

3M+58+8M+155=180

11M=180-213

11M=-33

M=-3

SO,

<PCH

3M+58

=3*(-3)+58

=58-9

=49-DEGREE

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