Suppose a sample of radioactive substance weighs 40 mg. One year later the sample weighs 29.5 mg. What is the half life of the substance?

Answers

Answer 1

Answer:Use the radioactive decay formula: A = Ao*2^(-t/h), where:

A = Amt of remaining after t time

Step-by-step explanation:

Ao = Initial amt

t = time of decay

h = half-life of the substance

in this problem

A = 21.5

Ao = 38

t = 1 year

h = half life of substance


Related Questions

help. will give brainly to correct answer. please.

Answers

Answer:

Last option; 5/2+ i5/2

According to the Vivino website, the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New Englandâbased lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 56 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively.

Required:
a. Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.
b. Using the sample from the 60 bottles, what is the test statistic?
c. At α = 0.05, what is your conclusion?

Answers

Answer:

a

The  null hypothesis is   [tex]H_o  :  \mu =  32.48[/tex]          

The alternative  hypothesis is   [tex]H_a  :  \mu  <  32.48[/tex]

b

  [tex]t  =  -1.504[/tex]

c

There is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48

Step-by-step explanation:

From the question we are told that

   The mean price of   is  [tex]\mu = \$ 32.48[/tex]

   The  sample size is n  =  56  

    The sample mean is  [tex]\=  x  =  \$30.15[/tex]

     The standard deviation is  [tex]\sigma =  \$12[/tex]

The  null hypothesis is   [tex]H_o  :  \mu =  32.48[/tex]          

The alternative  hypothesis is   [tex]H_a  :  \mu  <  32.48[/tex]

Generally the test statistic is mathematically represented as

       [tex]t =  \frac{\= x  - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

=>    [tex]t =  \frac{30.15  - 32.48 }{\frac{12 }{\sqrt{60} } }[/tex]

=>    [tex]t  =  -1.504[/tex]

Generally the p-value  is mathematically represented as

      [tex]p-value  =  P (t < -1.504 )[/tex]

From the z-table  

    [tex]P(t <  -1.504) =   0.066291[/tex]

So  

    [tex]p-value  = 0.066291 [/tex]

From the value we obtain we see that  

    [tex]p -value  >  \alpha[/tex]

Then we fail to reject the null hypothesis  

   Hence there is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48

P= 2/ + 2w Find The Width

Answers

9514 1404 393

Answer:

  W = P/2 -L

Step-by-step explanation:

Divide by 2 and subtract L.

  P = 2L +2W

  P/2 = L +W

  P/2 -L = W

The width is ...

  W = P/2 -L

If a polynomial function f(x) has roots 0, 4, and 3+ V11, what must also be a root of f(x) ​

Answers

Answer:

3-√11  must also be a root of f(x)

Step-by-step explanation:

Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate.

How much did Diego pay for the 12 books?

PLEASE INCLUDE AN EXPLANATION

Answers

Answer:

$36

Step-by-step explanation:

i dont know how to explain it but heres the number answer

Answer:

well 3÷13= 4.33 and 4.33×12=52

What is the rate of change of the function?
O -3. O -1/3. O 1/3. O 3

Answers

Answer:

I think it's 1/3

Step-by-step explanation:

because yo can see that in y-1, x=1 then in y0, x=1.3 and it keep going

How do I find x in this equation?

Answers

Answer:

Exact Form:

x

=29/20

Decimal Form:

x=1.45

Mixed Number Form:

x=1 9/20

Step-by-step explanation:

I did that before trust me I know

Patty walked 2/5 of a mile in 5 1/2 minutes. At this rate, how long will it take Patty to walk 3 miles?

Answers

Answer:

41.25 minutes i think sorry if its wrong

There is The Question and answers

Answers

m3
—— correct me if I’m wrong please
216

Answer: -1/8                                                                                                                            

Step-by-step explanation:

what is l4x-4l+10=3x

Answers

Answer:

x=−6

Step-by-step explanation:

4x−4+10=3x

Step 1: Simplify both sides of the equation.

4x−4+10=3x

4x+−4+10=3x

(4x)+(−4+10)=3x(Combine Like Terms)

4x+6=3x

4x+6=3x

Step 2: Subtract 3x from both sides.

4x+6−3x=3x−3x

x+6=0

Step 3: Subtract 6 from both sides.

x+6−6=0−6

Answer:

l4x-

Step-by-step explanation:

Sorry I hope this is it I hoped it help sorry.

please leave a thanks.

What are the reasons you would "flip" or reverse the inequality symbol in your answer?

Answers

When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number.

Can someone help me plz

Answers

Answer:

Answer 3

Step-by-step explanation:

Answer:

A. 27

Step-by-step explanation:

trust me


i’ll mark brainlest to whoever answers this question first! :)

Answers

Answer:

me

Step-by-step explanation:

A coral reef grows 0.12 minutes every week. How much does it grow in 8 weeks?

Answers

Answer:

0.96

Step-by-step explanation:

0.12 x 8 = 0.96

50 PONTIS Score for Question 3: ___ of 5 points) 3. Solve the given inequality and graph the solution on a number line. Show your work! -2x + 3 < 5

Answers

Answer:

If x equals -1 or anything less than -1, then the inequality statement is false

Step-by-step explanation:

So to find the number x has to be for the statement to be false, we have to find what number x would be to make it so both sides equal the same thing. So in this case, it would be -1 because 5-3 equals 2 and -2x=2 only if x=-1. So anything greater than -1 would make the statement true.

I hope this helped.

Answer:

x > - 1 or x = (-1, + oo)

Step-by-step explanation:

Given

Inequality

-2x + 3 < 5To findSolve and graphSolution-2x + 3 < 5-2x < 5 - 3-2x < 2x > - 1x = (-1, + oo)

As per above, the graph covers all numbers to the right from the point -1

The graph is attached

(1-cos^2 60°)+(1-sin^2 60°)=tan^2 60°​

Answers

(1-cos^2 60°)= sin^2 60°
(1-sin^2 60°) = cos^2 60°
Sin^2 60° + cos^2 60°= tan^2 60°

I need help please! 7:44 est need rn

Answers

Answer:

B. [tex]3^{6}[/tex]

Step-by-step explanation:

[tex]3^{8} = 6561[/tex]  [tex]3^{2} = 9[/tex]  6561 ÷ 9 = 729Option B, [tex]3^{6}[/tex], is equal to 729, so that is the right answer.

I hope this helps!

4 pound tomato cost 14 dollar how much does 1 pound cost

Answers

Answer:$3.50

Step-by-step explanation:

14/4 =3.5. To check answer multiply 3.5 by 4. You get 14

5 2/3 multiplied by 4 1/2

Answers

Answer:

[tex] 25\frac{1}{2} [/tex]

Step-by-step explanation:

[tex]5 \frac{2}{3} \times 4 \frac{1}{2} \\ \\ = \frac{5 \times 3 + 2}{3} \times \frac{4 \times 2 + 1}{2} \\ \\ = \frac{15 + 2}{3} \times \frac{8 + 1}{2} \\ \\ = \frac{17}{3} \times \frac{9}{2} \\ \\ = \frac{17}{1} \times \frac{3}{2} \\ \\ = \frac{51}{2} \\ \\ = 25 \frac{1}{2} [/tex]

^ what he said
Can u make me the Brainlyest

A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?

Answers

Answer:

20 km/hr

Step-by-step explanation:

The total time she takes to travel 10 km is 30 minutes of 0.5 hours.

To calculate speed, we can divide the distance traveled by the time it takes.

[tex]s = \frac{10}{0.5} = 20[/tex] km/hr

In an auditorium, the front 39 rows with 53 seats in each row are for kids while all 53 seats in each of the remaining 61 rows are for adults. How many seats are there in the auditorium?

Answers

Answer:

The auditorium has a total of 5,300 seats

Step-by-step explanation:

The seats for kids can be calculated by multiplying the number of rows by the number of seats per row:

Seats for kids=39*53 =2,067 seats

The seats for adults are calculated in a similar way:

Seats for adults = 61*53= 3,233 seats

Total seats: 2,067+3,233 = 5,300

The auditorium has a total of 5,300 seats

(9x-2y)/xy when x-4 and y=-2​

Answers

Answer:

-5

Step-by-step explanation:

Answer:

GIVEN x=4 and y=-2

So, in (9x-2y)/xy when we apply x=4 and y=-2​

{9(4)-2(-2)}/(4)(-2)

36+4/-8

40/-8

-5/1

=-5

Which statement is true?

Answers

Answer:

your right

Step-by-step explanation:

Two sides of a triangle have lengths 5 and 4. Which of the following can NOT be the length
of the third side?
A.1
B.4
C.2
D.3

Answers

Answer:

im guessing b.4

Step-by-step explanation:

It is not possible to have a) 1 as one f the third side of the triangle

What is triangle inequality theorem ?

It defines the relationship between the sides `of a triangle .

The triangle inequality theorem states that sum of length of two sides of a triangle is greater than the length of the third side .

a + b > c

correct answer option a) 1

it is not possible to make a triangle if one side is 1 because triangle inequality theorem will be violated

1 + 4 = 5 and not greater than 5

hence , not possible

learn more about triangle inequality theorem

https://brainly.com/question/1163433?referrer=searchResults

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818 divided by 34 in standard althriam

Answers

818 divided by 34 is 24.0588235. hope this helps!!

i need help in geometry :(

Answers

9514 1404 393

Answer:

  82 ft

Step-by-step explanation:

We can find the value of x by making use of the fact that corresponding angles have equal measures.

  ∠K = ∠N

  20x -10 = 15x +15

  5x = 25 . . . . . . . . . . add 10-15x

  x = 5 . . . . . . . . . . . .  divide by 5

Then the side lengths are ...

  JK = (4x -4) ft = (4·5 -4) ft = 16 ft

  KL = (5x +1) ft = (5·5 +1) ft = 26 ft

And the perimeter is the sum of side lengths:

  16 ft + 26 ft + 40 ft = 82 ft

The perimeter of each pool is 82 feet.

i’ve been on this question for 22 minutes please help me

Answers

Answer:

F

Step-by-step explanation:

A restaurant is making hamburgers. The cooks use 2/3 pounds of beef for each hamburger. If the cooks have 46 and 2/3 pounds of beef, how many hamburgers can they make?

Answers

Answer:

They can make 49 hamburgers

Step-by-step explanation:

Answer:

They can make 49 hamburgers

Step-by-step explanation:

If a dose of 100mg is contained in 4cc, how many cubic centimeter are in 40mg?

Answers

the answer to this is 1.6cc

Rephrase: what is 35% of $120?

Answers

35% of $120 is 42 US$
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