A 38 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.113. Find the substance's half-life in days, round to the nearest tenth.

Answers

Answer 1

Answer:

6.13 days

Step-by-step explanation:

Hello,

This question directly relates to radioactivity of a substance.

Data,

k = 0.113

Initial mass (No) = 38g

Half life of the substance (T½) = ?

To solve this question, we don't need the value of the initial mass because the variables in half life (T½) formula does not require it.

T½ = ln2 / k

Note : ln2 is a constant derived while k is the decay constant of the substance

T½ = 0.693 / 0.113

T½ = 6.13 days

The half life of the substance is 6.13 days


Related Questions




Nick simplified this expression. Is his answer correct?
O No Nick multiplied before dividing
O No. Nick should have converted to all decimals first.
O No. The first step should be division
O Yes. Nick did not make a mistake

Answers

Answer:

is A

Step-by-step explanation:

No. Nick multiplied before dividing

Answer:

the answer is nick multiplied before dividing.  

Step-by-step explanation:

Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) – 6 = 0? A. (u + 2)^2 + 5(u + 2) – 6 = 0 where u = (x – 2) B. u^2 + 4 + 5u – 6 = 0 where u = (x – 2) C. u^2 + 5u – 6 = 0 where u = (x + 2) D. u^2 + u – 6 = 0 where u = (x + 2) (This is a question from Edg by the way)

Answers

Answer:

C. u^2 + 5u – 6 = 0 where u = (x + 2)

Step-by-step explanation:

(x + 2)^2 + 5(x + 2) – 6 = 0

Let u = x+2

(u)^2 + 5(u) – 6 = 0

Answer:

C.u^2+5u-6=0

Step-by-step explanation:

By comparing (x+2)^2+5(x+2)-6=0 to answer C,that is u^2+5u-6=0,u=(x+2).

By sustituting (x+2)into answer C,we get;

(x+2)^2+5(x+2)-6=0 which is the same as the quadriatic equation given in the question.

The following are the ages (years) of 5 people in a room: 15, 17, 22, 14, 19 A person enters the room. The mean age of the 6 people is now 19. What is the age of the person who entered the room?

Answers

Answer:

27

Step-by-step explanation:

Given that:

(15+17+22+14+19+x) divided by 6 = 19

(87 + x) divided by 6 = 19

87 +x = 114

so x = 27.

Therefore the age of person 6 = 27

−12 − (−25) + 8
plzz helpp im not sure is it 21??

Answers

Answer:

21

Step-by-step explanation:

−12 − (−25) + 8

Subtracting a negative is like adding

-12 +25+8

First do -12 +25  25-12 = 13  Replace in the equation

13+8

21

Answer:

Yes, the answer is

[tex]21[/tex]

Step-by-step explanation:

we know that,

[tex]( - ) \times ( - ) = ( + )[/tex]

Now let's solve the problem,

[tex] - 12 - ( - 25) + 8 \\ - 12 + 25 + 8 \\ = 21[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Can someone please do the probability please

Answers

Answer:

47/73

Step-by-step explanation:

There are 73 people who like tea. 47 are women, 26 are men. This means that the probabili that the person chosen is a women is 47 out of the 73.

Solve the proportion. What number is 20% of 40?

Answers

Answer:

What is 20 percent (calculated percentage %) of number 40? Answer: 8.

Step-by-step explanation:

happy to help ya:)

Help me
-ayyyyy

Idk I’m just having fun

Answers

Answer:

Step-by-step explanation:

A

Answer:

i think its A happy to help ya :)

Step-by-step explanation:

factorise a)2x+8 b)3x-12 c)6x+4 d) 18x-9

Answers

I think it can help you.

The ratio of the sides of EBD to the sides of ABC is 3:4. Calculate the side lengths of ABC (Round to the nearest hundredth)

Answers

Answer:

The side lengths of triangle ABC are 6, 6.67 and 5.33

Step-by-step explanation:

In this question, we are interested in calculating the lengths of triangle ABC

ED: AC = 3:4

4.5:AC = 3:4

4.5/AC = 3/4

3AC = 4 * 4.5

3AC = 18

AC = 18/3 = 6

EB:AB = 3:4

5/AB = 3/4

3AB = 4 * 5

3AB = 20

AB = 20/3 = 6.67

DB:CB = 3/4

4/CB = 3/4

3CB = 4 * 4

CB = 16/3 = 5.33

A. A worker with 1700 hours of training is paid $40 per month.
B. A worker who works 40 hours is paid $1700.
C. There are 40 workers who are paid $1700 per month.
D. A worker with 40 hours of training is paid $1700 per month

Answers

Answer:

d.

Explanation:

Look at the title of the categories in the chart. 40 is categorized under “hours of training,” meaning 40 hours of training. 1700 is categorized under “monthly pay.” Put the information together and it means $1,700 for 40 hours that month.

What is the domain of f(x) = 3x – 2? {x | x > 0} {x | x < 0} {x | x = 0} {x | x is a real number}

Answers

Answer:

Option (4). {x | x is a real number}

Step-by-step explanation:

Domain of any function is defined by the x values (Input values) and range by the y-values (Output values).

Given function is f(x) = 3x - 2

When we graph this function, we get a straight line.

That means the given function is defined for all real numbers.

Therefore, domain of this function will be all real numbers.

Domain: {x | x is a real number}

Option (4) will be the answer.

Answer:

D) {x | x is a real number}

Can someone please help

Answers

Answer:

Step-by-step explanation:

8x^2 - 2x^2 - 3x + 8x  + 1/3 - 3/5

6x^2 + 5x + 5/15 - 9/15

6x^2 + 5x - 4/15

the solution is the third one C

Will give brainliest once again Does this graph show a function? Explain how you know

Answers

Answer:

D

Step-by-step explanation:

In a function no X's can repeat which is what the vertical line test is. And in this case no X's repeat therefore, making it a function.

Answer:

D

Step-by-step explanation:

parabolas are functions

the graphed is a parabola

it passes the vertical line test.

O is the centre of the circle and ABC and EDC are tangents to the circle. Find the size of angle BCD. You must give reasons in your answers.

Answers

Answer:

mBCD = 28°

Step-by-step explanation:

The angle mBFD inscribes the arc mBD, so we have that:

mBFD = mBD/2

76 = mBD/2

mBD = 152°

The angle mBOD is a central angle related to the arc mBD, so we have that:

mBOD = mBD = 152°

In the quadrilateral BODC, the sum of internal angles needs to be equal to 360° (property of all convex quadrilaterals). The angles mCBO and mCDO are right angles, because EDC and ABC are tangents to the circle.

So, we have that:

mBOD + mCDO + mBCD + mCBO = 360

152 + 90 + mBCD + 90 = 360

mBCD = 360 - 90 - 90 - 152

mBCD = 28°

which of the following is a solution of y > |x| -5?

A.(-4,1)
B.(-1,-4)
C.(4,-1)​

Answers

Answer:

the answer is A. (-4,1)

Step-by-step explanation:

because the point is inside of the shades area of the function. meaning is including the value. the other two points are in the dotted line meaning is not included  

The bar graph shows the results of rolling a number cube (a die) 50 times. What is the probability of rolling an odd number? How does this compare with the theoretical probability of rolling an odd number?


Experimental Probability. Theoretical Probability

P(odd) = % P(odd) = %

Answers

Answer:

[tex]\fbox{\begin{minipage}{12em}52 percent and 50 percent \end{minipage}}[/tex]

Step-by-step explanation:

Given (as shown in graph):

The results of rolling a number cube (a die) 50 times.

Rolling 1: 10 times

Rolling 2: 4 times

Rolling 3: 8 times

Rolling 4: 11 times

Rolling 5: 8 times

Rolling 6: 9 times

Solve for:

The probability of rolling an odd number (1, 3, 5).

Solution:

Step 1: Define the formula for calculating the probability

P = number of elements/total number of elements

Step 2: Perform the calculation

1) Theoretically, a fair die of 6 sides would give the equal chance to obtain 1, 2, 3, 4, 5, 6.

According to the formula in step 1, the number of elements in both cases are the same (odd: 1, 3, 5 => 3 elements, even: 2, 4, 6 => 3 elements, the total element is 1, 2, 3, 4, 5, 6 => 6 elements).

=> P(obtain odd number theoretically) = P(obtain even number theoretically) = 50%

2) Experimentally, apply the formula in step 1, we have:

The number of elements = Times of rolling 1 + Times of rolling 3 + Time of rolling 5 = 10 + 8 + 8 = 26

The total number of rolling: 50

=> P(obtain odd number in experiment) = 26/50 = 0.52 = 52%

Hope this helps!

:)

Answer:

^ That is correct guys

Step-by-step explanation:

GOOD LUCK

This formula v = u + at, links:

initial velocity (u)

final velocity (v)

acceleration (a)

time (t)

What is the value of v if u = 5, a = 10 and t = 2?

Answers

Answer:

[tex]v=u+at[/tex]

[tex]v= 5+(10)\times2\\v=25[/tex]

Which is equivalent to 4V91/2

Answers

Answer:

B.

Step-by-step explanation:

= [tex]\sqrt[4]{9} ^{x/2}[/tex]

= Since [tex]\sqrt[4]{} = 1/4[/tex]

= So,  [tex]9^{1/4*x/2}[/tex]

= [tex]9^{\frac{x}{8}[/tex]

Answer:

option B

Step-by-step explanation:

[tex](\sqrt[4]{9})^{\frac{1}{2}x} =(9^{\frac{1}{4}})^{\frac{1}{2}x}\\\\=9^{\frac{1}{4}*\frac{1}{2}x}\\\\=9^{\frac{1}{8}x}[/tex]

The radius of the circle is 4 inches. Which of the following units represents the diameter of the circle?

A. Inches
B. Square inches
C. Cubic Inches
D. None of the choices

Answers

Answer:

Inches

Step-by-step explanation:

Answer: The correct answer is inches because radius and Diameter are always given in a single form unit of measure.

Inches units represents the diameter of the circle.

Please mark brainliest

Hope this helps.

Biggest tree in the world:


The height of a redwood tree is 30 metres plus half of its own height, but it
is not 45 metres high. What is the height of the tree?

Answers

Answer:

80m

Step-by-step explanation:

The height of giant redwood tree is 100m.

so half of it is 50m

The height of redwood tree is 30m+ 50m= 80m

Answer: 60 m

Step-by-step explanation:

30 + .5x = x

30 = .5x

60 = x

(—5t^3+4t^2—t)—(8t^2+t)

Answers

Answer:

Step-by-step explanation:

G(x)=-2x-9 what is g(-7)

Answers

Answer:

g(-7)=5

Step-by-step explanation:

-2(-7)-9

14-9=5

Answer:

5

Step-by-step explanation:

G(x)=-2x-9

Let x = -7

g(-7) = -2(-7) -9

       = 14 - 9

       = 5

One cubic centimeter of sand weighs 1.9 grams. Find the amount of sand that the sandcastle bucket can hold.

Answers

Answer:

2160

see I times them all together then i divided the last two by 3 and got 2160

Step-by-step explanation:

Answer:

Length x width x height = volume

12 x 12 = 144

144 x 13 = 1872

height / 3 x width x length = volume for pyramid

6/3=2

2 x 12 x 12 = 288

1872 + 288 = 2160

2160 x 1.9 = 4104

4104 grams of sand

Hope this helps

Step-by-step explanation:

Simplify an Expression
Quick
Check
Simplify each expression involving signed numbers
-7-2=
12 + (-4)= |
-3(-6) = 1
18

Answers

Answer:

-10827

is the answer for your question I think

Answer:

[tex]-9[/tex]

[tex]8[/tex]

[tex]18[/tex]

Step-by-step explanation:

[tex]-7-2=-9[/tex]

[tex]12+(-4)=8[/tex]

[tex]-3(-6)=18[/tex]

HELP I DONT GET THIS AT ALL. ITS ABOUT INEQUALITIES EXPLANATION NEEDED

Answers

Answer:

Since the slope of the line is (31/4 - 25/4) / (5/4 - 3/4) = 3 that means that for every 1 that x increases, y increases by 3 so an example could be 1 3/4 for x and 9 1/4 for y.

Rewrite the expression 24x - 12 using the distributive property

Answers

Answer:

12(2x-1)

Step-by-step explanation:

24x - 12

Factor out a 12 from each term

12*2x -12*1

12(2x-1)

Answer:

[tex]12(2x - 1)[/tex]

Step-by-step explanation:

[tex]24x - 12[/tex]

Factor out a 12 from each

[tex]24x - 12 \\ 12(2x - 1)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What is the domain of the function shown on the graph?

Answers

Answer:

Step-by-step explanation:

Looking at the arrows on the graph, it appears that as the graph keep growing UP unbounded, it also keeps growing to the left unbounded (to negative infinity, to be exact). Looking to the right, it appears that as the graph decreases unbounded (the y values keep getting smaller), the graph keeps growing in the x direct to positive infinity. So the domain is

- ∞ < x < ∞

Find the area of the figure. If needed, round to the nearest tenth.

Isosceles trapezoid
An isosceles trapezoid with bottom base length of 14 feet, top base of 7 feet, and height of 6 feet.
a.
63 sq. ft
b.
27 sq. ft
c.
49 sq. ft
d.
126 sq. ft


Answers

Answer:

a. 63 ft²

Step-by-step explanation:

A= 1/2(b1+b2)h

b1= 14 ftb2= 7 fth= 6 ftA= 1/2(14+7)*6= 63 ft²

Answer:

[tex]63 {ft}^{2} [/tex]

Answer A is correct

Step-by-step explanation:

[tex]area = \frac{1}{2} (a + b)h \\ = \frac{1}{2} \times (7 + 14) \times 6 \\ = \frac{1}{2} \times 21 \times 6 \\ = \frac{126}{2} \\ = 63 {ft}^{2} [/tex]

hope this helps

From sea level, a submarine descends 40 feet per minute. Where is the submarine in relation to sea level 5 minutes after it starts descending?

Answers

Answer:

It is expected to be at a distance of 200 ft below the sea level

Step-by-step explanation:

We are told that the sub marine has a descending rate of 40 ft per minute.

Thus, after five minutes, the distance it would have descended would be 40 ft per minute * 5 minute = 200 ft

Thus, the submarine is expected to be 200ft below sea level

4^x-4^x-1=24,then find (2x)^x

Answers

Answer:  5²⁻⁵

Step-by-step explanation:

[tex]4^x-4^{x-1}=24\\\\\\3(4^{x-1})=24\\\\\\4^{x-1}=8\\\\\\2^{2(x-1)}=2^3\\\\\\2(x-1)=3\\\\\\x-1=\dfrac{3}{2}\\\\\\x=\dfrac{5}{2}\quad \rightarrow x=2.5[/tex]

[tex](2x)^x\quad =(2\cdot 2.5)^{2.5}\quad =\large\boxed{5^{2.5}}[/tex]

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