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

Any help with this question please?

Consider this equation.
c = ax – bx
Joseph claims that if a, b, and c are non-negative integers, then the equation has exactly one solution for x. Select all cases that show Joseph’s claim is incorrect.
A. a – b = 1, c ≠ 1
B. a = b, c = 0
C. a ≠ b, c = 0
D. a – b = 1, c = 0
E. a = b, c ≠ 0

Answers

Answer:

B.a=b, c≠0

C.a=b, c=0

D.a-b=1, c≠1

Step-by-step explanation:

The equation given is c = ax - bx. We can factor the right-hand side to obtain an equivalent equation which is c = (a-b)x

Let’s explore each answer choice given. We are looking for cases where there is no one solution for the equation.

A

a-b = 1 so the right-hand side becomes 1x and we have x=c. Since c is 0 we have one solution that is x=0

B

a=b so a-b =0 and the equation becomes 0=c but the answer choice says c does not equal zero. So in this case there is no solution. This is a correct answer to the problem.

C

This is the same as choice B but since C =0 both sides of the equation equal zero. We get 0=0 but notice that this is true no matter what the value of x is so this equation is called identity and any value of x will do so there isn’t one solution but rather infinitely many. This is another right answer.

D

Here a-b=1 so we end up with x = c and since c doesn’t equal one any value of x except 1 is a solution so there isn’t one solution but infinitely many. This too is an answer to the question.

E

Since a doesn’t equal b and since c = 0 we have (a-b)x = 0 so. Either a-b is zero but since a and b are different this can’t be or x is zero. This there is one solution: x=0.

From the above, the answer to the question is choices B, C, and D

which of the following phases are inequalities?
Choose 2
Please help me!

Answers

The first one and the last one. A & E

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.
x + y - z = -2
2x - y + 3z = 9
x - 4y - 2z = 1

Answers

Answer:

8

Step-by-step explanation:

k

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match each verbal description to its equivalent function rule as applied to the given function below.
f(x) = 7x + 5

Answers

Answer:

-The function f translated 2 units down and 3 units right. > g(x)=7x-18

-The function f stretched vertically by a factor of 3 and translated up by 2 units. > g(x)=21x+17

-The function f stretched vertically by a factor of 2 and translated down by 3 units. > g(x)=14x+7

-The function f reflected about the y-axis and translated 3 units left. >g(x)=-7x-16

Step-by-step explanation:

-A function is shifted up or down when a constant is added outside the function. If the constant is positive the function is shifted up. If the constant is negative, the function is shifted down.

-A function is shifted left or right when a constant is subtracted from the x-value inside the function. If the constant is positive, the function is shifted to the right. If the constant is negative, the function is shifted to the left.

-A function is vertically stretched or compressed when it is multiplied by a constant. If the constant is greater than one, it results in a vertical stretch. If the constant is in between zero and one, it results in a vertical compression.

-A function is reflected about the y-axis when the x-value is multiplied by a negative constant.

Answer:

The function f stretched vertically by a factor of 3 and translated up by 2 units.

g(x)=21x+17

The function f translated 2 units down and 3 units right.

g(x)=7x-18

The function f reflected about the y-axis and translated 3 units left.

g(x)=-7x-16

The function f stretched vertically by a factor of 2 and translated down by 3 units.

g(x)=14x+7

Step-by-step explanation:

Functions can be moved and re-sized by changing the parameters of the function.

A function is shifted up or down when a constant is added outside the function. If the constant is positive the function is shifted up. If the constant is negative, the function is shifted down.

A function is shifted left or right when a constant is subtracted from the x-value inside the function. If the constant is positive, the function is shifted to the right. If the constant is negative, the function is shifted to the left.

A function is vertically stretched or compressed when it is multiplied by a constant. If the constant is greater than one, it results in a vertical stretch. If the constant is in between zero and one, it results in a vertical compression.

A function is reflected about the y-axis when the x-value is multiplied by a negative constant.

Medication is prescribed in 8 out of every 10 hospital emergency room visits that involve an injury. If a large urban hospital had 660
emergency
room visits involving an injury in the past month, how many of these visits would be expected to include a prescription for
medication?
About
emergency room visits would be expected to include a prescription for medication.

Answers

Answer:

I don't know thats hard um well yeah

.........................................

Answers

Answer:

yes

Step-by-step explanation:

Answer:

.......

Step-by-step explanation:

Help please just look at the photo thank you

Answers

Answer:

8x

Step-by-step explanation:

at least thats waht i think it is

Find x if x + y = 16, x * 3 is even, x is a factor of y, and 2x+y= 20.

Answers

Answer:

x = 0

Step-by-step explanation:

Please help me!! I don’t get this!

Answers

Answer:

c) (x+1)²+(y-3)²=25

Step-by-step explanation:

x=30 y=6
X x Y - 4 + 15 /2=?

Also Anyone on here got Queston cove?
Lol

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

= 30 × 6 - 4 + 15 / 2

= (30 × 6) - (4 + 15) / 2

= (180 - 19) / 2

= 161 / 2

= 80.5

Hope it helps!

mark me brainliest pls.....

Follow me! :)

Ur answer is 80.5 :))))


Distributive Property step by step 3x(x-1) tHxs

Answers

Answer:

3x² - 3x

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3x(x - 1)

Step 2: Expand

Distributive Property:                                                                                           3x(x) + 3x(-1)Multiply:                                                                                                                3x² - 3x

Pamela is 9 years younger than Jiri. The sum of their ages is 53. What is Jiri's age?

Answers

Answer: 44

Step-by-step explanation:53-9

Answer:

31

Step-by-step explanation:

Jiri's age = J

J + (J-9) = 53

2J - 9 = 53

2J = 62

J = 31

Brainliest for correct answer

Answers

Answer:

113.04

Step-by-step explanation:

IM SO SORRY IF ITS WRONG

3. Determine how many real solutions the quadratic equation has. x2 + 6x + 8
A. One solution
B. Two solutions
C. No solutions​

Answers

The answer is b two solutions
B is the correct answer

At a bird sanctuary, the population of bluebirds is 120 and is increasing 4% annually. How many bluebirds will there be in 8 years?

Answers

The answer is: 158 birds

4% of 120 is 4.8 birds. So the population is increasing by 4.8 each year. 4.8 x 8 years = 38.4

120 + 38.4 = 158.4

(F)x= -4x^2 - 8x - 8 find -3 • f(-1)

Answers

Answer:

12

Step-by-step explanation:

-3[-4 + 8 - 8] = -3(-4) = 12

Can someone help please ASAP

Answers

Answer:

U need to draw a triangle

Step-by-step explanation:

4th grade math please help

Answers

Answer:

Number one is D and Number 3 is also D

Step-by-step explanation:

Answer:

Hi

Step-by-step explanation:

Find the surface area of a triangle prisms

Answers

Answer: 544 sq. inch

Step-by-step explanation:

12 x 8 x 0.5 x 2 + 10 x 14 x 2 + 12 x 14 = 544

Surface of triangle = 98
x 2
= 196

10x14= 140
x3
= 420

420 + 196 = 616 inches

PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!

Find the height in centimeters of a square pyramid with a volume of 296 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.

Answers

Answer:

9.61cm

Step-by-step explanation:

Let height be x thus length will also be x

since the base is a square the width and length are also equal.

volume of pyramid=length×width×height

3

296cm³=x×x×x

3

296×3=x³

888=x³

x= cube root of 888

x=9.61cm

I need help with math asap ​

Answers

um where’s the question?

Luis solved the following equation below: - x ^ 2 + 10x - 21 = y Line Line Line 1x = (- (10) plus/minus sqrt((10) ^ 2 - 4(- 1) * (- 21)))/(2(- 1)) 2x = (- 10 plus/minus sqrt(100 - 84))/- 2 3x = (- 10 plus/minus sqrt(16))/- 2 Line 4 x= -10 pm sqrt 4 -2 5x = (- 10 plus/minus 2)/- 2 Linedx = (- 10 + 2)/- 2 x = (- 10 - 2)/- 2 x = - 8/- 2 x = - 12/- 2 Line Line 7 Line 8 x = 4 x = 6 Did Luis solve the above function properly ? Justify why or why not and be specific (use the line numbers as reference

Answers

Answer:

Sorry try using the math tool.... it looks like a square root sign with a x inside of it! :)

[tex]\sqrt{x}[/tex] <-- pretty much like this one and is at the bottom of your brainly tab :)

It makes things clearer when it comes to these sort of things and eliminates things like, " plus/minus, sqrt, Linedx, 2 Line Line 7 Line 8x = 4x =6

Hope this helps :)

Step-by-step explanation:

Answer:

x = 7, x = 3

Steps:

-x²+10x-21 = 0

x = (-10±√(10²-4×(-1)×(-21)))/2×(-1)

x = (-10±√(100-84))/-2

x = (-10±√16)/-2

x = (-10±4)/-2

x = (-10-4)/-2 , x = (-10+4)/-2

x = -14/-2 , x = -6/-2

x = 7 , x = 3

Luis did not solve the equation properly!

I have $20 in my investment account if i save $5 each week how much money will I have in the account after 9 weeks? solve using an algebraic equation

Answers

Answer:

$135.

Step-by-step explanation:

please click the heart and rate excellent and brainleist to☺️☺️

Please help I’ll mark you as brainliest if correct!

A
B
C
D

Answers

Answer:

A is the answer

Step-by-step explanation:

A student purchased 9 binders for $11.07.

Use the drop down to answer the question.

Which equation can be used to find the cost of each binder, b, in dollars?

Answers

Answer:

11.07/9

Step-by-step explanation:

Math

Help me please I need to get this right

Answers

Answer:

1. 12

2. 8

3. 3

Step-by-step explanation:

To find the first answer all you must do is:

2 x 3 x 2 = 12

You do the same thing with the second question but do 2 x 2 x 2 as there’s no turkery.

2 x 2 x 2 = 8

Last, this time you do 1 x 3 x 1.

One for the one bread and cheese and three for the meat.

This equals to be 3.

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period

Answers

Answer:

Z-score for 34-week baby = 0.643

Z-score for 41-week baby = 1.154

Baby weight of 41-week is more than the baby weight of 34-week in the gestation period.

Step-by-step explanation:

Given - Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams

To find - Find the corresponding z-scores. Which baby weighs more relative to the gestation period.

Proof -

Given that,

In between period of 32 to 35 weeks

Mean = 2500

Standard deviation = 700

In between after a period of 40 weeks

Mean = 3100

Standard deviation = 390

Now,

For a 34-week baby,

X = 2950

For a 41-week baby,

X = 3550

Now,

Z-score = (X - mean) / Standard deviation

Now,

For a 34-week baby,

Z - score = (2950 - 2500) / 700 = 0.643

For a 41-week baby,

Z-score = (3550 - 3100) / 390 = 1.154

∴ we get

Z-score for 34-week baby = 0.643

Z-score for 41-week baby = 1.154

As 1.154 > 0.643

So,

Baby weight of 41-week is more than baby weight of 34-week in the gestation period.


1.2 The stove you must bake in is an old one and only has the temperature in
Fahrenheit. You are making rusks and must dry them overnight at a
temperature of 176°F.
Convert this temperature


to °Celsius.

Answers

Answer:

80°C

Step-by-step explanation:

you will say :

(176-33) x 5/9 = 70

A random sample of house sizes in major city has a sample mean of

Answers

Answer:

A random sample of house sizes in major city has a sample mean of ¯x=1204.9 x ¯ = 1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft.:

What is the word form of the number 43.06? A forty-three and six B forty-three and six tenths c forty-three and six hundredths D forty-three and six thousandths​

Answers

it is C forty-three and six hundredths.

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