answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Firdavs [7]
2 years ago
12

An isotope of a radioactive element has half-life equal to 9 thousand years. Imagine a sample that is so old that most of its ra

dioactive atoms have decayed, leaving just 10 percent of the initial quantity of the isotope remaining. How old is the sample? (Give your answer correct to at least one decimal place.)
Mathematics
1 answer:
valkas [14]2 years ago
8 0

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

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:

An = Aoe^-kt
0.5 = e^-k(9000)
k = 7.7 x 10^-5

An = Aoe^-kt
.10 = e^-</span>7.7 x 10^-5<span>(t)
t = 29903.7 years</span>

You might be interested in
Ming used the calculations shown to find out how much he would spend on 6 pounds of ground beef if 10 pounds of ground beef cost
Angelina_Jolie [31]

Answer:

He determined pounds per dollar by dividing 10 by 25 but wrote the unit rate as a dollar value.

Step-by-step explanation:

Given

\frac{10\ pounds}{\$25} = \frac{10\ pounds}{25} / \frac{\$25}{25} = \frac{0.4}{1}

Unit\ Price = 40\ cents

40\ cents * 6 = \$2.40

Required

Determine Ming's error

Ming's error is from here

\frac{10\ pounds}{\$25} = \frac{10\ pounds}{25} / \frac{\$25}{25} = \frac{0.4}{1}

He calculated the unit rate as pound per dollar.

So, after calculating the unit rate, the unit should be:

Unit\ Rate = 0.4\ pound/\$

But instead, he solved as:

Unit\ Rate = \$0.4/ pound

<em>Hence, (a) is correct</em>

5 0
2 years ago
Read 2 more answers
What are the quotient and remainder when a) 19 is divided by 7? b) −111 is divided by 11? c) 789 is divided by 23? d) 1001 is di
Dennis_Churaev [7]

Answer:

a) quotient = 2,  remainder = 5

b) quotient = -10,  remainder = -1

c) quotient = 34,  remainder = 7

d) quotient = 77,  remainder = 0

e) quotient = 0,  remainder = 0

f) quotient = 0,  remainder = 3

g) quotient = 0,  remainder = -1

h) quotient = 4,  remainder = 0

Step-by-step explanation:

The relationship between the quotient, remainder and divisor is that the product of the quotient and divisor added to the reminder gives the dividend.

Based on this, when

a)19 is divided by 7 = 19/7

= 2\frac{5}{7}

Hence the quotient is 2, the remainder is 5

Applying the same principle, when

b) −111 is divided by 11

= -10\frac{1}{11}

Hence the quotient is -10, the remainder is -1

c) 789 is divided by 23

=34\frac{7}{23}

Hence the quotient is 34, the remainder is 7

d) 1001 is divided by 13

= 77

Hence the quotient = 77, the remainder is 0

e) 0/19 = 0

Hence the quotient is 0, the remainder is 0

f) 3/5

Hence the quotient is 0, the remainder is 3

g) -1/3

Hence the quotient is 0, the remainder is -1

h) 4/1

Hence the quotient is 4, the remainder is 0

3 0
2 years ago
Alan says that two lines in the coordinate plane are perpendicular if and only if the slopes of the lines are m and 1m. Identify
mart [117]

Answer:

First, two lines are perpendicular if one has slope m, and the other has slope -1/m (Not 1m as Alan says)

That is the first error of Alan.

Now, there is another error.

If m = 0, then -1/m tends to minus infinity (in this case we would have a vertical line).

But we can not really divide by zero, so we should state that:

m can not be zero, if a line is horizontal, the perpendicular line must be vertical.

7 0
2 years ago
At one of New York’s traffic signals, if more than 17 cars are held up at the intersection, a traffic officer will intervene and
Alinara [238K]
Scenarios B, D, and F require a police officer. In scenario B, 1:00-2:00pm, and scenario F, 5:00-6:00pm, there are 24 cars. In scenario D, 3:00-4:00pm, there are 21 cars. Both 24 and 21 are greater than 17, so a traffic officer is needed. However, in other scenarios, the number of cars are all less than 17, and no officer is needed.
8 0
2 years ago
Read 2 more answers
Jack bought seven tickets for a movie he paid seven dollars for each adult ticket and four dollars for each child ticket jack sp
Alja [10]

7x = 40

7x + 4y = 40

The first equation represents that in total, the 7 tickets whether they are for adults or children costs $40.

The second equation represents that x = adult and y = children tickets both add up to equal $40.

7 0
2 years ago
Other questions:
  • The lengths of a particular snake are approximately normally distributed with a given mean mc025-1.jpg = 15 in. and standard dev
    11·2 answers
  • You just obtained a credit card. You immediately purchase a digital camera for $160. Your credit limit is $4000. Let’s assume th
    11·1 answer
  • How many times larger is 4 x 1012 than 8 x 107? A) 2 x 104 B) 2 x 105 C) 5 x 104 D) 5 x 105
    14·2 answers
  • Solve the equation using square roots. 6x2 = 54
    8·2 answers
  • According to Dolbear’s law, you can predict the temperature T (in degrees Fahrenheit) by counting the number x of chirps made by
    5·1 answer
  • Wong’s Garage buys quarts of motor oil by the gross (144 units) for $0.75 per quart. When Wong’s changes the oil in customers’ c
    11·1 answer
  • a case of scout cookies has 10 cartons. a carton has 12 boxes. the amount you earn on a whole case is 10(12x) dollars. what does
    8·1 answer
  • At 11:55 p.m., Thomas ties a weight to the minute hand of a clock. The clockwise torque applied by the
    9·1 answer
  • A machine in a chocolate factory is set to squirt out a predetermined amount of molten chocolate. When the machine is set to x,
    10·1 answer
  • i) If numerator and denominator of a fraction have no common factor other than 1, then the fraction is said to be in its________
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!