If 16g if a radioactive substance are present initially and 5yr later only 8g remain how much substance will be present after 9yr

Answers

Answer 1

9514 1404 393

Answer:

  4.59 g

Step-by-step explanation:

The half-life is given as 5 years, so the amount remaining after 9 years will be ...

  remaining = initial × (1/2)^(t/(half-life))

  remaining = (16 g)×(1/2)^(9/5) ≈ 4.59 g

About 4.59 g of the substance will remain after 9 years.


Related Questions

Justine already owns 90 hair bands, and additional hair bands are priced at 5 for a dollar. With $124 to spend on new hair bands, how many total hair bands can Justine own? Write and solve an equation to find the answer.

Answers

Answer:

710 hairbands

Step-by-step explanation:

Total hairbands = (5*dollars spent) + 90

Max hairbands = (5 * 124) + 90

Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games. Len owns his bowling ball and shoes, so he only has to pay for each game that he bowls. If each of these bowling games costs the same amount of money, what is the constant of proportionality between the money spent and the number of games played?

Answers

Answer:

$4.50/ g - Games

Step-by-step explanation:

$18

-------------  =  $4.50/g

4 g

$27

------- = $4.50/g

 6 g

C(x) = ($4.50/game)x, where x is the # of games played.

Ava is making Vampire punch for the Halloween party. The recipe makes 12 servings and calls for 3/5 cups of cranberry juice. how much cranberry juice will she need for 15 servings

Answers

Answer:

15/20 cups of cranberry juice

Step-by-step explanation:

3/5 cranberry juice makes 12

12/2=6

3/5= 0.3

6/2=3

0.3/2= 0.15

0.15 = 3/20

3/20 cranberry juice makes 3 servings.

add 3 and 12 to make 15 servings, add 3/5 and 3/20.

3/5= 12/20

12/20 + 3/20 = 15/20 cups of cranberry juice

A production process produces 5% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts

Answers

Answer:

0.0214

Step-by-step explanation:

Given that :

p = 5% = 0.05

Number of trials (n) = 5

probability that the sample contains exactly two defective parts

P(x = 2)

Using the binomial probability function :

P(x = x) = nCr * p^x * (1 - p)^(n-x)

P(x = 2) = 5C2 * 0.05^2 * (0.95)^3

P(x = 2) = 5C2 * 0.05^2 * (0.95)^3

P(x = 2) = 10 * 0.0025 * 0.857375

= 0.021434375

= 0.0214

Mary Catherine made 5 gallons of punch for her party. How many cups of punch did she make?

Answers

80 cups
Hope it helps :D

Answer:

80

Step-by-step explanation:

PLS HELP I ONLY HAVE 30 MINS

Question 5 (4 points)
(04.02)

Determine whether the graph represents a proportional relationship. (4 points)

A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 7. These points are joined by a line. The label on the x-axis is Number of pans. The title on the y-axis is Number of cakes.

a
Yes, it is a proportional relationship because the graph goes through the origin

b
Yes, it is a proportional relationship because the graph is a straight line

c
No, it is not a proportional relationship because the graph is not a straight line

d
No, it is not a proportional relationship because the graph does not go through the origin

Answers

Answer:

C. It is not proportional because it is not a straight line.

Step-by-step explanation:

You can check to see if it is a straight line by setting up a table and ensuring that the values increase by the same amount every ordered pair.

------> The Answer Is C <------

Hope this helps have a good day :D

How do I find slope and y-intercept??? Please help me!!

Answers

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Eric wishes to triple the recipe how much of each ingredient does

Answers

Answer:

wait what? sorry ,,,,,,,

Answer:

multiply

Step-by-step explanation:

it depends on how much eric has currently

Ex: eric has 3 teaspoons of water and 4 cups of flour

3x3=9

so he has 9 teaspoons intead of 3

4x3=12 so he needs 12 cups of flour

what is the maximum value of the function? explain what the maximum value of this represents in this situation. make sure to include information about the x-value and y-value in your explanation

Answers

Where’s the picture I need it I order to answer

wowwwww he just roasted youuuuuuuuuu!!!!!

Your packaging orders at green market food suppliers.each crate holds four large bottles one in each quadrant identify the mixed fraction in simplified form of bottles in the tow crates in the drawing

Answers

Answer: 1/2

Step-by-step explanation:

Answer:

1 and 1/2

Step-by-step explanation:

easy points but please answer with correct answer:)

Answers

Answer:

C

Step-by-step explanation:

what number line shows the solution of -5x + 10 > -15

Answers

Answer: x<5

Step-by-step explanation: Subtract 10 from both sides. Simplify  -15-10 to  -25. Divide both sides by -5. Two negatives make a positive. Simplify 25/5 to 5.

You deposit $600 in a account earning 5% interest compounded annually. How much will you have in the account in 15 years?

Answers

Answer:

$1050 in total including the interest.

Step-by-step explanation:

The answer is 1050 because 5% of 600 is 30 and 30 multiplied by 15 is 450, and 600 plus 450 is 1050

I NEED HELP ASAP IT IS DUE TODAY!!,

Lori needs a length of twine 8.5 meters long to mark a row in her garden. Andrew needs a length of twine 7.28 meters long for his row. They have one length of twine that measures 16.29 meters.

After they each take the lengths they need, how much twine will be left?

Answers

Answer:

.51 meters of twine

Step-by-step explanation:

add the numbers of twine they each need which is 15.78 then subtract the 16.29 they have minus the 15.78 they need now you have a left over .51 meters

What is 2345+ (27457+96584)6- 1/2 divided by 2

Answers

Answer:

746590.75

You can alos just type it into a calculator.

Divide: 2
6
: 2
4
= 2
6
· 4
2
= 2 · 4
6 · 2
= 8
12
= 4 · 2
4 · 3
= 2
3

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2
4
is 4
2
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 4 gives 2
3
.
In words - two sixths divided by two quarters = two thirds.

The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below. Negative 15 and one-half divided by 5 and three-fourths = negative StartFraction 31 over 2 EndFraction divided by StartFraction 23 over 4 EndFraction = negative StartFraction 31 over 2 EndFraction times StartFraction 23 over 4 EndFraction = Negative StartFraction 713 over 8 EndFraction When she checked the answer by estimating, it did not make sense. What error did Wen make? Wen incorrectly converted a mixed number to an improper fraction. Wen added the numerators and denominators instead of multiplying. Wen did not take the reciprocal of the divisor. Wen did not change the division problem to multiplication.

Answers

Answer:

a

Step-by-step explanation:

you should Mark me brainliest;)

The distance between the points (3,y1) and (11,11) is 17. What is a possible value of y1?
A.
4
B.
-2
C.
-4
D.
-3

Answers

C I’m pretty sure hope this helps

What is the Slope of the slide?

Answers

Answer:

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

Step-by-step explanation:

Points on line: (1,2) (3,3)

[tex]\frac{2-3}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be approximated by the function S(t)=46+12e^−0.04t, where t is the time​ (in years) since the stock was purchased. Find the average price of the stock over the first six years.

Answers

Answer:

The average price of the stock over the first six years is 56.669 US dollars.

Step-by-step explanation:

Since the price is a continuous and differentiable function, we can determine the average price by means of the following integral equation:

[tex]\bar S = \frac{1}{t_{F}-t_{O}}\cdot \int\limits^{t_{F}}_{t_{O}} {S(t)} \, dt[/tex] (1)

Where:

[tex]t_{O}[/tex] - Initial time, measured in years.

[tex]t_{F}[/tex] - Final time, measured in years.

If we know that [tex]t_{O} = 0\,yr[/tex], [tex]t_{F} = 6\,yr[/tex] and [tex]S(t) = 46+12\cdot e^{-0.04\cdot t}[/tex], then the average price of the stock over the first six years is:

[tex]\bar S = \frac{46}{6-0} \int\limits^6_0 dt +\frac{12}{6-0}\int\limits^6_0 {e^{-0.04\cdot t}} \, dt[/tex]

[tex]\bar S = \frac{23}{3}\cdot t|\limits_{0}^{6}-\frac{2}{0.04}\cdot e^{-0.04\cdot t}|_{0}^{6}[/tex] (2)

[tex]\bar S = \frac{23}{3}\cdot (6-0)-\frac{2}{0.04}\cdot [e^{-0.04\cdot (6)}-1][/tex]

[tex]\bar S = 56.669\,USD[/tex]

The average price of the stock over the first six years is 56.669 US dollars.

Which is true about the data shown in the scatter plot

Answers

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got it right in use test prep

There are 125 people on a mountain trail. If 55 people on the trail are children, what percentage of the people on the trail are children?

Answers

Answer:

44%

Step-by-step explanation:

.44 x 125 equals 55 n

Answer:

The percentage of people who were children = 44%

Step-by-step explanation:

Total people = 125Children on the trail = 55

We need to determine the percentage of the people on the trail who are children.

All we need is to divide 55 by the total number of people i.e. 125 and then multiply the result by 100.

so

Children percentage = 55 / 125 × 100

                                   = 0.44 × 100

                                   = 44%

Therefore, the percentage of people who were children = 44%

having trouble with this lesson could anyone help?

Answers

Answer:

13.7

Step-by-step explanation:

1.37 x 10^1

Solve the exponent.

1.37 x 10

13.7 is the standard form of 1.37 x 10^1.

Mark me brainliest plzz and thank you

make me brainliest by clicking the crown at the bottom of this answer next to the comments button thank you!!


A local little league has a total of 65 players, of whom 20% are right-handed. How many
right-handed players are there?

Answers

Answer:

13

Step-by-step explanation:

convert percent to decimal: .20

.20 x 65

13

determine which equation below have x =15 as a solution

Answers

Answer:

x-30=-15

Step-by-step explanation:

x-30=-15

subtact 30 from both sides

I need help with math homework algebra #4

Answers

Answer:

A. (-5, 0) and (1, -3)

B. Slope (m) = -½

C. y + 3 = -½(x - 1)

D. y = -½x - ⁵/2

E. ½x + y = ⁵/2

Step-by-step explanation:

A. Two points on the line from the graph are: (-5, 0) and (1, -3)

B. The slope can be calculated using two points,(-5, 0) and (1, -3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 0}{1 -(-5)} = \frac{-3}{6} = -\frac{1}{2} [/tex]

Slope (m) = -½

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (1, -3), and m = -½ into the point-slope equation, y - b = m(x - a).

Thus:

y - (-3) = -½(x - 1)

y + 3 = -½(x - 1)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y + 3 = -½(x - 1)

2(y + 3) = -1(x - 1)

2y + 6 = -x + 1

2y = -x + 1 - 6

2y = -x - 5

y = -x/2 - ⁵/2

y = -½x - ⁵/2

E. Convert the equation in (D) to standard form:

y = -½x - ⁵/2

½x + y = ⁵/2

Help ASAP Please. Working on this now. Look at picture for question and answer A, B, C​

Answers

Answer:

look at step by step

Step-by-step explanation:

A) That is the number of bacteria that originally started in the culture

B) That is the rate at which the bacteria will reproduce

C) 1000 represents the number of bacteria at the beginning of the second culture.

The first study started with more bacteria, and will grow faster because of this

255.6 grams to ounces

Answers

Answer:

9.016025oz

Step-by-step explanation:

Answer: 9.016

Step-by-step explanation:

for an approximate result, divide the mass value by 28.35

4 pts
Question 1
Alan is decorating for a party. He wants one color of streamer, one type of
flower, and one color of tablecloth.
• The streamers can be red, blue, or yellow.
• The flowers can be tulips, daisies, or roses.
• The color of the tablecloth can be plaid, striped, or solid.
How many possible combinations are there?
BI
Search for anything
о

Answers

Answer:27

Step-by-step explanation:

3^3=27

A car travels 62 miles in 1.3 hours. If the car continues traveling at the same speed, how many hours will it take to travel 124 miles?
2.6 hours
3.2 hours
4.8 hours
5.4 hours

Answers

62 /1.3=124 /x
Cross multiply
62x= 124 times 1.3
62x = 161.2
X= 2.6

write equation asap ​

Answers

Answer:

y = 4/3x - 4.5

Step-by-step explanation:

1) find the slope 4/3

2) find the y-intercept

3) done ------>    y = 4/3x - 4.5

Answer:

(5,2)(-1,-6)

Step-by-step explanation:

-6-2/-1-5

-8/-6

=4/3

Y+1=4/3(x+6)

Y+1=4/3x+8

Y=4/3x+7

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