A sample of a radioactive isotope had an initial mass of 450 mg in the year 2005 and decays exponentially over time. A measurement in the year 2012 found that the sample's mass had decayed to 310 mg. What would be the expected mass of the sample in the year 2017, to the nearest whole number?

Answers

Answer 1

Answer: 238

Step-by-step explanation:


Related Questions

Sand will be placed under the base of a circular pool with a diameter of 20 feet. 1 bag of sand covers about 6 square feet. How many bags of sand are needed? Use 3.14 for pi. Round bags up.

Answers

9514 1404 393

Answer:

  53

Step-by-step explanation:

The area of the pool is ...

  A = πr²

  A = 3.14×(10 ft)² = 314 ft²

The number of bags of sand required is ...

  (314 ft²)/(6 ft²/bag) ≈ 52.33 bags

53 bags of sand are needed.

Please help, will mark brainliest. It is easy and urgent.
Given the figure below, how many planes contain the points Z,V, and Y

Answers

Answer:

2

Step-by-step explanation:

My sister got stuck on these can you tell me the answers?

Answers

don’t click the link above it’s a scam. also i think you measure the eraser using a ruler and that’s the answer lol

QUESTION 9 of 10: You get 6 price quotes for a used commercial oven: $7,000; $2,000; $9,000; $3,000; $5,000; $4,000. What is the median price quote

Answers

Answer:

4,500

Step-by-step explanation:

just cause

Median of the given set of price is $4500

What is median?

The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution

Given set of data = $7000, $2000, $9000, $3000, $5000, $4000

Order the values from low to high

$2000, $3000, $4000, $5000, $7000, $9000

Find the middle term

Here number of terms = 6

It is even number  

Then find [tex]\frac{n}{2}[/tex] and [tex]\frac{n}{2}+1[/tex] terms

[tex]\frac{n}{2}=\frac{6}{2}=3[/tex]

[tex]\frac{n}{2}+1=3+1=4[/tex]

Median is the mean of the 3rd value and 4th value

Median =[tex]\frac{4000+5000}{2}=4500[/tex]

Hence, the median of the given set of price is $4500

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What is the fraction ⁸⁄₂₀ in its simplest form?

Answers

Answer:

2/5

Step-by-step explanation:

dsadsadasddsadsadasddsadsadasddsadsadasddsadsadasd

Step-by-step explanation:

8/20=4/10=2/5

done by cancelling

hope it helps

HELP QUICK & NOW PLS
Trapezoid ABCD is inscribed in circle O. Diagonals BD and AC meet at point E and AD is
parallel to BC, as shown.
Select the angles and value that
make a true statement about
trapezoid ABCD.

(fill in equation to the right pls)

Answers

Answer:

I think this would be,

ADE = 180- BCE

I am not sure if this is the right answer, and i am sorry if the answer is wrong, i am just learning about this topic.

Answer:

m<ADC= 180-m<ABC or m<ABC=180-m<ADC

Step-by-step explanation:

Firstly, we need to establish that trapezoid ABCD is an isosceles trapezoid. By doing so, we know that angles opposite one another in an isoseles trapezoid are supplementary. As a result, m<ACD+m<ABC= 180. We can now solve for angle ACD or ABC.

me ayudan por favor?
solo son 10 preguntas abc

Answers

Answer:

hi

Step-by-step explanation:

Pls help! This test determines if I take math 1 or 2 for 8th grade!!

Answers

Answer:

My best guess is D she can make 4 dozen cokies

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

it is B because  for number A 1+1 =2 2>1.75.  B= 1.5<175, c= 0.5 <1, d. 2>1.75

X-1
Which graph shows the solution set of
1-X
O
-5 -4 -3 -2 -1 0
1
2
3 4
5
X
O
-5 -4 -3 -2 -1
0
1
2
3
4
5
x
O
54 -3 -2 -1
0
1
2
3
4
5
x
O
-5 -4 -3 -2
0
1
2
3
4
5
X

Answers

Answer:

2nd

Step-by-step explanation:

the second pic from the given figure show the correct answer

The graph (C) shows the solution set of (x-1 )/ (1-x) < 0.

What is Inequality?

Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given:

According to the question, we have the Expression

(x-1 )/ (1-x) < 0

Because the function exists, the denominator is not equal to zero. That is, x does not equal 1. Because the denominator is zero when x = 1 and the function is not defined.

Thus, in the solution set of (x-1 )/ (1-x) < 0  excluding one, at every real number is function is defined.

Therefore, the correct option is C shows the solution set.

Learn more about Inequality here:

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VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

(3, -2)

Step-by-step explanation:

in the month of July 3/8 of the shoes that were sold at the Houston of style footwear were sandals and 1/16 were clogs. what fraction of the shoes where either sandals or clogs?​

Answers

Answer:

7/16 of the shoes were either sandals or clogs.

Step-by-step explanation:

Find a CD, which is 16.

Because we multiplied the denominator, we multiply the numerator as well.

3/8 becomes 6/16.

Now, because both of the denominators are the same, we are free to add both of the fractions together.

6/16 + 1/16 = 7/16.

Because this fraction isn't reducible, the answer will be 7/16.

What is the length of the diagonal of the rectangle?

Answers

9514 1404 393

Answer:

  21.25

Step-by-step explanation:

The Pythagorean theorem tells you the length of hypotenuse c of a right triangle with legs 'a' and 'b' is ...

  c = √(a² +b²)

Here, that means the diagonal length d is ...

  d = √(17² +12.75²) = √(289 +162.5625) = √451.5625

  d = 21.25 . . . . length of the diagonal

Harmony thinks 448 is the solution to the equation 8b=56. is harmony correct? explain why or why not.
pls answer quickly my assignment is due tonight

Answers

Are you asking what is b? If so, b would be 7 because 7*8=56. I’m not sure how 448 was an answer? So Harmony is incorrect.

The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

8b = 56

Simplify the equation, then we have

8b = 56

b = 56 / 8

b = 7

The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.

More about the solution of the equation link is given below.

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Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The circle's radius is 2 units long and the terminal point is (−1.15,−1.64).



The terminal point is how many radius lenghts to the right of the circle's center?
h=

Then, cos−1(h)=

Does the number we get in part (b) give us the correct value of θ? 

Therefore, θ=


Answers

Answer:

hello attached below is the sketch of the missing diagram

a) h = 2

b) cos^-1 ( 2 ) = ∞

c ) θ ≈ 215°

Step-by-step explanation:

a) The length ( h ) to the right of the circles center

= h^2 = ( -1.15)^2 + ( -1.64)^2

∴ h = 2

b) cos^-1 ( 2 ) = ∞

c) The value gotten from b does not give us the value of θ

AB = - 1.64

BC = -1.15

AC = 2

sin^-1 ( - 1.64 / -1.15 )

cos^1 ( -1.15 / 2 ) gives us the value of θ

tan^-1 ( -1.64 / -1.15 )

θ ≈ 215°

A car and a truck left Washington, DC traveling in opposite directions. The car traveled 19 miles per hour faster than the truck, and at the end of 8 hours they were 1048 miles apart. What was the average speed of each vehicle?

100 POINTS

Answers

Answer:

Step-by-step explanation:xmccc

Truck speed be x
Car travel at x+19
They travel in opposite directions so the separation is (x+x+19) * no. Of the hours
1048 = (2x+19)*8
X= ((1048/8)-19)/2
=56

Truck speed is 56 miles per hour
Car speed is 56+19=75 miles per hour

Select the correct answer.
Tim works for a cell phone company and is testing their new biometric security feature.
He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's
owner. The results of the test are shown in the table.
Total
Unlocked
2,418
232
Owner
Not the Owner
Total
Did Not
Unlock
582
768
3,000
1,000
4,000
2,650
1,350
What is the probability that someone who is able to unlock the phone using the biometric security feature is not the owner?

Answers

The probability that someone who is able to unlock the phone who is not the owner will be 5.8%. Then the correct option is D.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Tim works for a cell phone company and is testing their new biometric security feature.

He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's owner.

The results of the test are shown in the table.

                             Unlocked               Did Not Unlock               Total

Owner                     2418                            582                           3000

Not the Owner        232                             768                            1000

Total                       2650                            1350                          4000

Then the probability that someone who is able to unlock the phone using the biometric security feature is not the owner will be

P = 232 / 4000

P = 0.058

The probability in percentage will be

P = 0.058 x 100

P = 5.8%

Then the correct option is D.

More about the probability link is given below.

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Answer:

8.8%

Step-by-step explanation:

I did the test.

A clothing retailer is gathering data on the amount of time each customer spends shopping in its stores. Each location collected 20 pieces of data and will compile that data to determine a population mean. One location has a sample mean of 32.5.

Which statement must be true about this situation?

A.
The population mean is also 32.5.
B.
There is not enough information to make a conclusion about the population mean.
C.
The population mean must be greater than 32.5.
D.
The population mean must be less than 32.5.

Answers

Answer:

B

Step-by-step explanation:

5th grade math. correct answer will be marked brainliest

Answers

Answer: First 12/8, then 3/2

Step-by-step explanation: 3/2.

If you want the mixed fraction, it would be 1 1/2.

4 times 3 is 12... 12/8

1 whole box (8/8)

So 12/8-8/8=4/8 left

1 whole and 1/2

i need help please help!!!!!!!!!!!! i will give extra points

Answers

Answer:

90 cubic units

Step-by-step explanation:

6x3x5=90

We write "3.4 cm + 4.3 cm = 7.7 cm," but the sum could be as small as --------- cm

Answers

Answer:

the smallest value of the sum is 7.65 cm.

Step-by-step explanation:

Given;

3.4 cm + 4.3 cm = 7.7 cm

To obtain the least value of the given result, we will apply the rounding-off method;

In the rounding-off method, digits between 0 to 4 will be rounded down to zero while digits between 5 and 9 will be rounded up to 1.

The smallest value of 7.7 cm = 7.65 cm (5 will be rounded up to 1 making 7.65 cm approximately 7.7 cm)

Also, other possible values of 7.7 cm include;

7.66 cm, 7.67 cm, 7.68 cm, 7.69 cm

Note :7.64 cm cannot be rounded up to 7.7 cm because 4 will be rounded down to zero making 7.64 cm approximately 7.6 cm.

Therefore, the smallest value of the sum is 7.65 cm.

$500 at 4% for 3 years
:FIND THE INTEREST EARNED

Answers

Answer:60$

Step-by-step explanation:

o que significa 1E+76 ?????

Answers

Answer:

e means error at least when the number is higher than the computor can calculate or it is just a variable

Step-by-step explanation:

Abc is a right angle decomposed into 2 non overlapping angles. Abd and dbc. What kind of angle is dbc

Answers

Answer:

The answer is "[tex]m \angle ABD = 45^{\circ} \ \ and \ \ m \angle DBC = 45^{\circ}\\\\[/tex]"

Step-by-step explanation:

In this question, the adjacent angles aren't overlapping, and that they have the shared widely and have the common side. There ABC does have the correct angle, which includes two not overlapping ABD and DBC angles with such a joint B vertex and BD lines. Now it is constructed. Thus both angles are not overlapping:  

[tex]m \angle ABD = 45^{\circ}\\\\m \angle DBC = 45^{\circ}\\\\or \ \ \text{the angles will may be} \\\\m \angle ABD = 35^{\circ}\\\\m \angle DBC = 55^{\circ}\\\\[/tex]

0.1 to the power of 5

I need help!

Answers

0.00001 in standard form :)

Answer:

.00001

1*10^-5

How do you add
2 2/3 + 6/7

Answers

Answer:

3 11/21

Step-by-step explanation:

2 2/3=(2*3+2)/3=8/3

8/3+6/7=56/21+18/21=74/21 or 3 11/21

A. using substitution find the value of the remaining unknown in each of the following formulas.

1.t=rs (s + 1) if r=4 and s=5
2.k=6-5q/2g if q=3 and g=8
3.p=a+b-2c if a=2, b=-1 and c=5
4.l=1/x - 2/y + z if x=4, y=6, and z=2/3

Answers

Answer:

Substitution means that we need to replace some of the variables by the given values.

1)  t = rs*(s + 1)      (if r=4 and s=5)

So we just need to replace r by 4 and s by 5 in the equation.

t = 4*5*(5 + 1) = 20*6 = 120

t = 120

2)  k = 6 - 5q/2g     (if q=3 and g=8)

We need to replace q by 3, and g by 8.

k = 6 - (5*3)/(2*8) = 6 - 15/16 = 5.167

k = 5.167

3) p = a + b - 2c   (if a = 2, b = -1, c = 5)

Replacing the variables we get:

p = 2 + (-1) - 2*(5)

p = 2 - 1 - 10 = -9

p = -9

4) I = 1/x - 2/y + z   (if x = 4, y = 6, and z = 2/3)

Replacing the variables we get:

I = 1/(4) - 2/(6) + (2/3)

I = 1/4 - 2/6 + 2/3 =  1/4 - 1/3 + 2/3

I = 1/4 + 1/3 = 3/12 + 4/12 = 7/12

I = 7/12 = 0.583

how many different perfect cubes are among the positive actors of 2021^2021

Answers

Answer:

hope this helps :D

Step-by-step explanation:

Perfect cube factors:

If a number is a perfect cube, then the power of the prime factors should be divisible by 3.

Example 1:Find the number of factors of293655118 that are perfect cube?

Solution: If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have

2(0 or 3 or 6or 9)—– 4 factors

3(0 or 3 or 6)  —–  3  factors

5(0 or 3)——- 2 factors

11(0 or 3 or 6 )— 3 factors

Hence, the total number of factors which are perfect cube 4x3x2x3=72

Perfect square and perfect cube

If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.

Example 2: How many factors of 293655118 are both perfect square and perfect cube?

Solution: If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have

2(0 or 6)—– 2 factors

3(0 or 6) —– 2 factors

5(0)——- 1 factor

11(0 or 6)— 2 factors

Hence total number of such factors are 2x2x1x2=8

Example 3: How many factors of293655118are either perfect squares or perfect cubes but not both?

Solution:

Let A denotes set of numbers, which are perfect squares.

If a number is a perfect square, then the power of the prime factors should be divisible by 2. Hence perfect square factors must have

2(0 or 2 or 4 or 6 or 8)—– 5 factors

3(0 or 2 or 4 or 6)  —– 4 factors

5(0 or 2or 4 )——- 3 factors

11(0 or 2or 4 or6 or 8 )— 5 factors

Hence, the total number of factors which are perfect square i.e. n(A)=5x4x3x5=300

Let B denotes set of numbers, which are perfect cubes

If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have

2(0 or 3 or 6or 9)—– 4 factors

3(0 or 3 or 6)  —–  3  factors

5(0 or 3)——- 2 factors

11(0 or 3 or 6 )— 3 factors

Hence, the total number of factors which are perfect cube i.e. n(B)=4x3x2x3=72

If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have

2(0 or 6)—– 2 factors

3(0 or 6) —– 2 factors

5(0)——- 1 factor

11(0 or 6)— 2 factors

Hence total number of such factors are i.e.n(A∩B)=2x2x1x2=8

We are asked to calculate which are either perfect square or perfect cubes i.e.

n(A U B )= n(A) + n(B) – n(A∩B)

=300+72 – 8

=364

Hence required number of factors is 364.

The function, f(x), is plotted below.



Evaluate the limits, if they exist. If not, write DNE.

Limit as x approaches negative 1 minusf(x) =

Limit as x approaches 3 plusf(x) =

Limit as x approaches 1 f(x) =

Answers

Answer:1 2 DNE

Step-by-step explanation:

Answer:

1

2

DNE

Step-by-step explanation:

What is the location of point A? (5,-8) (-8,5),(8,-5) (-5,8)

Answers

We need picture if you message me a picture I can tell you what the answer is

Answer: Dude the answer is (-5,8).

Step-by-step explanation:

Mark me brainliest please since I have the real answer.

Help now please... I will mark brainlest

Answers

Answer:

60°

Step-by-step explanation:

That's an equilateral triangle therefore all sides and angles are the same.

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Please help ASP!!!! A= positive, B=Negative, C=Zero Order form least to greatest 0.777, 9/11, 5/9, 65%, 0.714, 83.3%, 0.583, 0.5, 0.75, 4/9 According to Quincy, what does Mexico call the land between the Nueces River and the Rio Grande? Do,k= (0,2) (0,6) the scale factor is 3 0 1/3 Please help no links I WILL GIVE YOU A BRAINLIST help asap please i need to get thru this Please hurry lol Ill give brainliest A sound effect in a poem is a type of _____.imagerymetaphorpoetic devicestyle For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 7. Using the empirical rule, what percentage of males in the town have a systolic blood pressure between 98 and 112? What is the mode of the data set? {32, 29, 35, 25, 32, 22, 30} Enter your answer in the box. The population size of pandabears increases dramaticallyThepopulation will decrease because What is the diameter of the circle?What is the circumference of the circleWhat is the area of the circle help me plz................. HELP hurry (77points)Write and nonfiction story about this prompt: how do you define what it means to be an American today? Help please!!Brainliest if right resources that can be saved through the use of computers a horse run 10 meters going south 7. Mrs. Paulson is constructing a 90% confidence interval for the difference of means based on independentsimple random samples from two populations. The sample sizes are n, = 6 and n, =14. She draws dotplotsof the sample data to check one of the conditions for using two-sample i procedures. Which of the followingdescriptions of those dotplots would suggest that it is safe to perform inference?(a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.(b) Both dotplots are roughly symmetric. The dotplot of sample 2 has an outlier.(c) Both dotplots are strongly skewed to the right. There are no outliers in either dotplot.(d) Both dotplots are roughly symmetric. Both dotplots have one upper outlier(e) i procedures are not recommended in any of these cases. Help- this is also due tomorrow- HELP ASAP WILL GIVE BRAINLIEST!