Element X is a radioactive isotope such that every 20 years, its mass
decreases by half. Given that the initial mass of a sample of Element X is 410
grams, how long would it be until the mass of the sample reached 270 grams,
to the nearest tenth of a year?

Answers

Answer 1

Answer:

12.1

Step-by-step explanation:

y=a(1/2)^t/h

270=410(1/2)^t/20

Divide both sides by 410

0.6585365854 = (1/2)^t/20

Log Both sides

Log(0.6585365854) / Log(1/2)

.6026645024= t/20

20 x .6026645024 = t

12.05329005 to the nearest tenth is 12.1 = t


Related Questions

A recent survey suggests that 47% of all televisions are connected to the internet, 32% are voice controlled, and 22% are both connected to the internet and voice controlled. Suppose a television is selected at random and it is voice controlled. What is the probability that a randomly selected voice-controlled television is also connected to the internet?

A. 0.15
B. 0.47
C. 0.69
D. 0.79

Answers

Answer:

0.69

Step-by-step explanation:

Here, we want to find the probability that a randomly selected television is connected to the internet given that it is voice-controlled

let P(V) is the probability of selecting a voice controlled television

P(I) is the probability that a selected television is connected to the internet

So the probability we want to calculate according to Baye’s theorem will be;

P(I|V) = P(I n V)/P(V)

P( I n V) = 22%

P(V) = 32%

So the probability is;

22%/32% = 0.6875 which is approximately 0.69

Answer: 0.69

Step-by-step explanation:

Simplify all four questions correctly-
(p - 3) + (p - 7)

(3n - 1) + ( -n + 4)

(-t + 5) + (3t + 2)

(7k + 9) + (4k - 3)

Answers

Answer:

1. 2p - 10

2. 2n + 3

3. 2t + 7

4. 11k + 6

Step-by-step explanation:

Can someone pls help me

Answers

Answer: x = 7

Step-by-step explanation:

7x+9=58

8x+2=58

These are congruent angles so they are the same value.

4x-3+x=7x-3 solve x and show work easy to undertand please. Really appreciate it ^^

Answers

X=0 answer answer answer

Which function represents the Inverse of function below?

Answers

Answer: The answer that you’re looking for is D. [tex]p(x)=\frac{1}{3}x-\frac{5}{3}[/tex]. Brainliest?

Step-by-step explanation:

question is attached​

Answers

Hello!

[tex]\large\boxed{f^{-1} = \frac{5x+2}{4x-2}, f^{-1}(3) = \frac{17}{10} }[/tex]

[tex]f(x) = \frac{2x +2}{4x - 5}[/tex]

Find the inverse by swapping the x and y variables:

[tex]y = \frac{2x +2}{4x - 5}\\\\x = \frac{2y +2}{4y - 5}[/tex]

Begin simplifying. Multiply both sides by 4y - 5:

[tex]x(4y - 5) = 2y + 2[/tex]

Start isolating for y by subtracting 2 from both sides:

[tex]x(4y - 5) -2 = 2y[/tex]

Distribute x:

[tex]4yx - 5x - 2 = 2y[/tex]

Move the term involving y (4yx) over to the other side:

[tex]- 5x - 2 = 2y - 4yx\\\\[/tex]

Factor out y and divide:

[tex]- 5x - 2 = y(2 - 4x)\\\\y = \frac{-5x-2}{-4x+2} \\\\y = \frac{-(5x + 2)}{-(4x - 2)} \\\\y^{-1} = \frac{5x + 2}{4x - 2}[/tex]

Use this equation to evaluate [tex]f^{-1}(3)[/tex]

[tex]f^{-1}(3) = \frac{5(3) + 2}{4(3) - 2} = \frac{17}{10}[/tex]

you flip a coin twice what is the probability of getting tails then getting heads

HELP ASAP

Answers

Answer: The odds of getting tails twice in a row are 1/2 * 1/2 = 1/4. So 25% of the time you'll get heads twice in a row. But, if you've already flipped a coin 99 times, and gotten heads each time, then the odds of your next flip being heads is still just 50:50.

Step-by-step explanation:

Please help I don’t understand

Answers

Answer:

Step-by-step explanation:

when you draw a line through both it show that the are parallel and will never touch.

Answer:

simple

Step-by-step explanation:

i can't give the answer  but a hint is that AC is the same as dot A and Dot C you see on the image and EF is dot E and dot F on the image too.

show how both are paralell(lines never meet).

If one item cost $0.79 and I paid $3.16 at the register, how many items did I buy

Answers

Answer:

You bought 4 items.

Step-by-step explanation:

3.16 divided by 0.79 = 4

Answer:

You bought 4 items because 0.79 x 4 = 3.16

Step-by-step explanation:

Find the measure of <1

Answers

Consider the triangle (in which angle4 is present)

by angle sum property,

20 + 40 + angle4 = 180

60 + angle4 = 180

angle4 = 180 - 60

angle4 = 120

Also,

angle2 = 120 (vertically opposite angles)

angle1 + angle2 = 180 (linear pair)

angle1 + 120 = 180

angle1 = 180 - 120

angle1 = 60

PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours. Y=mx+b B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job? (Vou should have 9 answers in question 2​

Answers

Answer:

A: C=45h+30

B: C=$322.50

Step-by-step explanation:

A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.

B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:

C=45h+30

C=45(6.5)+30

Im using a decimal because it should be clear 1/2=0.5

C= 292.5+30

45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30

This results in the answer of:

C=$322.50

What is

-2/3
-
5/6

?
Math/honors math/ Mathematics

Answers

Answer:

-3/2 is your answer !!!!

Answer:

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

Step-by-step explanation:

Trust me it's right...lol

write an equation in slope-intercept form for the line. slope=4,y-intercept=3

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = 3, then

y = 4x + 3 ← equation of line

The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest penny.

Answers

Answer:

537.64

Step-by-step explanation:

Simplify an expression for the PERIMETER of the equilateral triangle shown below.

Answers

The answer is 180 if right

Suppose the equation of line s is y=2. What are the coordinates of C' of angle ABC for Rs?

Answers

hi i’m sorry sssse ghuuuu

Write True or False and then explain. The angle of depression is the same degree measure as the angle of elevation in a diagram.

Answers

Answer:

The term angle of elevation denotes the angle from the horizontal upward to an object. An observer's line of sight would be above the horizontal. The term angle of depression denotes the angle from the horizontal downward to an object. ... Note that the angle of elevation and the angle of depression are congruent .

Step-by-step explanation:

True

Two more than eleven times a number is equal to 24. What is the number?

Answers

Answer:

2

Step-by-step explanation:

24/ 11 = 2 2/11

so, we have 2 and 2/11

11x2 = 22 + 2 = 24

which postulate or theorem justifies the congruence statement, ABE is congruent to CDE?

- SSS
- SAS
- ASA
- AAS

Answers

Answer:

SAS

Step-by-step explanation:

Hope this helps:)

Answer:

SAS

Step-by-step explanation: You can use vertical angles  congruence theorem for angles AED and BEC which gives you an angle, using  taht info you can detremine that its SAS

HELPP HELP IM FAILING THIS CLASS

Answers

Answer:

Area=572.56

Step-by-step explanation:

A=1/4πd2

Area=1/4 x pi x diameter squared.

Answer:

thanks for the free points and the anwser is 5

Step-by-step explanation:rqwafs

3q2rr

Which of the following lists the sides of △DEF in order from shortest to longest?

Answers

Answer:

The 2nd option.

Step-by-step explanation:

Since  Angle D is 68 degrees side EF would be the longest.

Side DF is the shortest side it is opposite the smallest angle.

Side EF is in the middle since opposite the next biggest angle.

Side EF is again the longest since Angle D is the biggest at 68 degrees.

Answer:

B

Step-by-step explanation:

Tareq pays $22.10 for 2.6 pounds of salmon. What is the price per pound of the salmon?

Answers

Answer: $8.50/pound

Step-by-step explanation:

Price per pound --> take the total price and divide it by the number of pounds

$22.10 / 2.6 pounds = $8.50/pound

Answer:

$8.50

Step-by-step explanation:

take 22.10 divide it by 2.6 and you will get your answer.

Hope this helps

In the figure below, ray KM is the angle bisector of ZLKJ. If MZLKJ = 82",
what is MZMKJ?

Answers

Answer:

41º

Step-by-step explanation:

An angle bisector splits an angle in half. So angle LKM+angle MKJ=angle LKJ. We know angle LKJ=82º, so angle LKM=angle MKJ=82º/2=41º.

What is the value of the expression 1/2-(-1/3+2/5)

Answers

answer 13/30

or 0.43 repeating

Step-by-step explanation:

Plz solve this as soon as possible it is due today, all it is is yes or no

Answers

Answer:

1 Rational, Integer

2 Rational

3 Rational, Whole

4 Rational , Whole

5 Rational

6 Rational

7 Rational

8 Rational

Step-by-step explanation:

Pretty sure this is correct

Slove the system of equations by useing the substitution method. 2x - 3y=9 y=x-4​

Answers

Answer:

x = 3

y = -1

Step-by-step explanation:

in this system, we are given that y = x - 4

this means that we can take the other equation and replace y with x - 4:

so 2x - 3y=9 turns into

2x -3 (x - 4) = 9

distribute -3 to x and -4:

2x - 3x + 12 = 9

add like terms and subtract 12 from both sides

-x = -3

divide both sides by -1 to get rid of the negative on x:

x = 3

now we have the value of x, so we can replace the x in y = x - 4 with the value we just got

so y = x- 4 turns into

y = (3) - 4

solve and you get

y = -1

I’ll give Brainly but pleaseee help

Answers

fruit adult = 26
fruit total = 52
vegetable child = 14
total child = 40
total adult = 50

HELPP Its due rnnn , ANYBODYYYYY help meeee lollll

Answers

Answer:

The first one is C and I don't know what the other one is

I need quick help pls!!!

Answers

Answer: 3 root 2

Its the third answer

Step-by-step explanation:

Give an example with an expression showing the associative property of multiplication

Answers

Answer:

Use the associative property of multiplication to rewrite (5 x 4) x 3 In order to rewrite the expression, take the parenthesis off of the first two factors and put them around the last two factors. Answer: 5 x (4 x 3) Example: Use the associative property of multiplication to rewrite (6 x 2) x 7

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