The half-life of a radioactive kind of iodine is 60 days. How much will be left after 240 days, if you start with 480 grams of it?

Answers

Answer 1

Answer:

30 grams

Step-by-step explanation:

half life is 60 days so every 60 days the amount 480 grams will be half

in 240 days will decay  240 /60 = 4 times

once 480 /2 = 240

twice 240 /2 = 120

trice 120 / 2 = 60

four times 60/2 = 30 grams will be left


Related Questions

hi everyone how are you and what is 4 divieded by 12

Answers

ookies. OK

How to calculate 12 divided by 4

Long Division

Here we will show you step-by-step with detailed explanation how to calculate 12 divided by 4 using long division.

Before you continue, note that in the problem 12 divided by 4, the numbers are defined as follows:

12 = dividend

4 = divisor

Step 1:

Start by setting it up with the divisor 4 on the left side and the dividend 12 on the right side like this:

4 ⟌ 1 2

Step 2:

The divisor (4) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

0

4 ⟌ 1 2

Step 3:

Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.

0

4 ⟌ 1 2

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

0

4 ⟌ 1 2

- 0

1

Step 5:

Move down the 2nd digit of the dividend (2) like this:

0

4 ⟌ 1 2

- 0

1 2

Step 6:

The divisor (4) goes into the bottom number (12), 3 time(s). Therefore, put 3 on top:

0 3

4 ⟌ 1 2

- 0

1 2

Step 7:

Multiply the divisor by the result in the previous step (4 x 3 = 12) and write that answer at the bottom:

0 3

4 ⟌ 1 2

- 0

1 2

1 2

Step 8:

Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.

0 3

4 ⟌ 1 2

- 0

1 2

- 1 2

Which equation is NOT a linear function?

Answers

Answer:

y=x^2-2

Step-by-step explanation:

It should be this one because if you have x squared it will be a parabola. A line should have a consistent slope. so Somethingx + y intercept =y

Divide 1 1/2 divided by 1/4 in simplest form

Answers

Answer:

6

Step-by-step explanation:

1 1/2 divided by 1/4. Firstly you simplify the mixed number 1 1/2 to an improper fraction to make the process easier. So if it is simplified it would be 3/2.

Now you follow the division process and then simply the answer and it would be 6.

Answer:

Answer is 6

Step-by-step explanation:

Change 1 1/2 into 3/2

Multiply by the reciprocal: 3/2 x 4/1

3/2 x 4/1 = 12/2

12 divided by 2 = 6

Hope this helps :)

Jim is mailing packages. Each small package costs him $3.20 to send. Each large costs him $4.70. How much will it cost him to send 1 small package and 4 large packages?

Answers

Answer:

$3.20 for the small and $4.70 for the large packages.

Step-by-step explanation:

multiply 3.20 by 1 since that is the price of mailing a small package and you want to mail 1.

multiply 4.70 by 4 since that is the price of a large one and you want to mail 4.

3.20 x 1 =3.20

4.70 x 4=18.80

I need help with this question

Answers

Answer:

The answer would be YES, it is a dialation

Step-by-step explanation:

Help mehhhhhhhhhhhhhh.
Question is which equation represents the line shown on the graph?

Answers

C is the answer because slope is rise over run and the slope goes down 3 and right 5 times so -3/5 is the answer.

Answer:

y=-3/5 or C

Step-by-step explanation:

Help please Someone!!!

Answers

Answer:

Joshua saves 5 less. Its C.

Step-by-step explanation:

Tell me if u need an explanation.

please help me with this​

Answers

the answer is y=-3/2+7

What is the slope of a line that passes through the origin and the point (-2,1)?

Answers

Answer:

The slope would be -1/2.

Step-by-step explanation:

Since, the midpoint of the segment joining the points P (0, -4) and B (8, 0),

= ( 4, -2 ),

Now, the slope of the line passes through the origin and the point ( 4, -2) is,

= -1/2

i think thats the answer HOPE IT HELPS YOU THOUGH

A few weeks ago, Kristen bought 10 apples from her local farmers' market. Today, the number of apples Kristen bought was 20% higher. How many apples did she buy today?

Answers

Answer:

12

Step-by-step explanation:

if you have to do 198 assignments in 27 days how many assignments should you do daily?

Answers

You would need to do about 7.33

Answer:

8 assignments a day

Step-by-step explanation:

State the domain: a) 1/x

Answers

(-oo,0) U (0,oo) the two “o”s are symbols for infinity and U is union

simply the expression in the simplest form​

Answers

Answer:

[tex]\frac{\sqrt[3]{20}}{5}[/tex]

Step-by-step explanation:

Let [tex]x = \sqrt[3]{\frac{4}{25}}[/tex], we proceed to show the procedure to determine the simplest form of this number:

1) [tex]\sqrt[3]{\frac{4}{25} }[/tex] Given.

2) [tex]\left(\frac{4}{25}\right)^{1/3}[/tex] Definition of cubic root.

3) [tex][4\cdot (25)^{-1}]^{1/3}[/tex] Definition of division.

4) [tex](4)^{1/3}\cdot [(25)^{-1}]^{1/3}[/tex]  [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

5) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{1/3}\} \cdot \{[(25)^{-1}]^{2/3}\cdot [(25)^{-1}]^{-2/3}\}[/tex] Modulative and associative properties/Existence of multiplicative inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

6) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot \{[(25)^{-1}]^{1/3}\cdot [(25)^{-1}]^{2/3}\}[/tex] Commutative and associative properties

7) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot (25)^{-1}[/tex]  [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

8) [tex][(4)^{1/3}\cdot (25)^{2/3}]\cdot (25)^{-1}[/tex]  [tex](a^{b})^{c} = a^{b\cdot c}[/tex]

9) [tex][4\cdot (25)^{2}]^{1/3}\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

10) [tex](2500)^{1/3}\cdot (25)^{-1}[/tex] Definition of power and multiplication.

11) [tex][(125)\cdot (20)]^{1/3}\cdot (25)^{-1}[/tex] Definition of multiplication.

12) [tex](125)^{1/3}\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Associative property.

13) [tex]5\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] Definition of cubic root.

14) [tex]5\cdot [(20)^{1/3}\cdot (5)^{-1}\cdot (5)^{-1}][/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

15) [tex][(20)^{1/3}\cdot (5)^{-1}][5\cdot (5)^{-1}][/tex] Commutative and associative properties.

16) [tex](20)^{1/3}\cdot (5)^{-1}[/tex] Existence of multiplicative inverse/Modulative property

17) [tex]\frac{\sqrt[3]{20}}{5}[/tex] Definitions of cubic root and division/Result

Step by step explanation

Answers

Answer:

[tex]\huge\boxed{\sf x =\frac{7}{2} , y = -3}[/tex]

Step-by-step explanation:

2x + 4y = -4 ------------------------(1)

3x + 5y = -3 ------------------------(2)

Multiply Eq. (1) by 3

3(2x + 4y) = -4 * 3

6x + 12y = -12 ---------------------(3)

Multiply Eq. (2) by 2

2(3x + 5y) = -3 * 2

6x + 10y = -6 ---------------------(4)

Subtract Eq. (4) from (3)

6x + 12y - ( 6x + 10y ) = -12 - (-6)

6x + 12y - 6x - 10y = -12 + 6

12y - 10y = -6

2y = -6

Divide 2 to both sides

y = -6 / 2

y = -3

Put y = -3 in Eq. (1)

2x + 4(-3) = -5

2x - 12 = -5

Add 12 to both sides

2x = -5 + 12

2x = 7

Divide 2 to both sides

x = 7 / 2

So,

x = 7 / 2 , y = -3

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

helpp!!! very easy question

Answers

Answer:

The answer is D, E, F  or it is also D to F

Step-by-step explanation:

9514 1404 393

Answer:

  A and B

Step-by-step explanation:

Speed is the change in distance divided by the change in time. That is, it is the slope of the distance vs. time curve. A steeper slope corresponds to a greater speed.

Between A and B, the slope is (30-0)/(1-0) meters/time-unit = 30 m/u.

Between B and C, the slope is (30-10)/(4-1) = 20/3 = 6 2/3 m/u.

Between C and D, the slope is 0.

Between D and F, the slope is (50-10)/(10-6) = 40/4 = 10 m/u.

The greatest slope is between A and B.

The object has the greatest speed between points A and B.

at the neighborhood block party, k'neisha noticed that every 5 minutes, the shadow of a nearby pine tree got six inches longer. at 4:00 pm, the shadow was 12 feet long. How long was the shadow at 5:00 pm

Answers

Answer:

18 feet

Step-by-step explanation:

60 mins an hour

5 mins + 6 inches

60/5=12

12*6 = 72

12 feet +72 inches

72 inches = 6 feet

18 feet

4
Drag each value and expression to the correct location on the equation. Not all values and expressions will be used.
A patch of farmland is currently worth $78,125. The expected increase in its market value can be modeled by the function below, where tis the
time in years.
P(t) = 78,125 0.025:
How many years will it take for the farmland's market value to reach $125,000?
6.4
In(1.6)
0.025
18.8
13.6
years
years
Reset
Next

Answers

Answer: t = 18.8 years

Step-by-step explanation: The modeled function is an exponential function:

[tex]P(t)=78,125e^{0.025t}[/tex]

which is farmland worth along time.

To determine when the farmland will be worth $125,000:

[tex]125,000=78,125e^{0.025t}[/tex]

[tex]e^{0.025t}=\frac{125,000}{78,125}[/tex]

[tex]e^{0.025t}=1.6[/tex]

Apply natural logarithm:

[tex]ln(e^{0.025t})=ln(1.6)[/tex]

And then, power rule:

[tex]0.025t=ln(1.6)[/tex]

[tex]t=\frac{ln(1.6)}{0.025}[/tex]

t ≈ [tex]\frac{0.47}{0.025}[/tex]

t ≈ 18.8

After 18.8 years, the farmland will reach market value of $125,000.

Answer:

Step-by-step explanation:

For all Plato users.

Find the value of x

Answers

Step-by-step explanation:

(4x-7)°=(7x-61)°

61-7=7x-4x

54=3x

x=18°

-3x + 12 = 18 please help it’s urgent

Answers

Answer:

Move all terms that don't contain x to the right side and solve.

x = −2

Answer:

x=-2

Step-by-step explanation:

-3x-2=6

6+12=18

point E is located at (-1,-6) on the coordinate plane. Point E is reflected over the y-axis to create point E' . Point E' is then reflected over the x-axis to create point E'' . What ordered pair describes the location E''?​

Answers

(-1,-6) --> (1,-6) --> (1,6)
(1,6) is E''

4x^2 - 12x - 3

what would the answer be if x = 7

Answers

Answer:

4(7)^2-12(7)-3

4×49-84-3

112-3

109

Answer: Your correct and final answer should be 109.

Step-by-step explanation:

All you need to do solve this problem is substitute for X using 7. {After you you plug just use PEMDAS and solve from left to right or use a calculator}

4(7)^2 -12(7) -3

4×49 -84 -3

112-3 = 109

Which set of ordered pairs represents y as a function of x?

A. {(2, 5), (3, 1), (4, 1), (4, 7)}


B. {(3, 2), (4, 3), (3, 2), (2, 6)}


C. {(1, 3), (3, 5), (2, 5), (1, 6)}


D. {(6, 7), (4, 6), (-4, 4), (5, 1)}

Answers

Answer:

D

No repeated x values

Answer:
D

Explanation :

What is the value of x?

Answers

Answer:  10^2 = x^2 plus 6^2

100= x^2 + 36

64=x^2

8

Step-by-step explanation:

I need serious help, this is hard

Answers

Answer:

CD = AC

Step-by-step explanation:

CD = AC.  "bisect" means "to divide in half."  Half of AD is either AC or BC, which are equal to each other.

DC = AC

hope this helps

help please !! thank you!

Answers

Answer:

.5

Step-by-step explanation:

if you put ur mouse on -2 then move to the right 1.5 you will get .5

Hope this Helps!!!

Answer:

-.5

Step-by-step explanation:

1.5 +-2 is -.5 hope this helps

Jamie puts an initial $900 into a savings account. The account has a 7% annual compound interest rate. What is the function that best represents Jamie's account and how much does he have in savings after 5 years? Round your answer to the nearest dollar.

Hint: Use the formula, f(x) = P(1 + r)x

A. f(x) = 900(1.7)x, $1,081

B. f(x) = 900(1.07)x, $1,262

C. f(x) = 900(1.07)x, $1,081

D. f(x) = 900(0.07)x, $1,262

Answers

Answer:

D. f(x)=900(0.07)^x.1,262

Step-by-step explanation:

You would have to use the P(1+r)^x

P= starting amount

R= rate of change or the percentage changed into a decimal

x= time

So it would be, 900(1+0.07)^5

calculating that you would get 1,262.3. but approximately it's 1,262.

Hope this helped

The length of a rectangle is one more than twice its width. If its perimeter is 20 inches, what is its length and width?

Answers

Answer:

Let length be L

Width be W

L=1+2W

Perimeter(p) of rectangle is

P=2L+2W

But L = 1+ 2W and p= 20

:. 20 =2(1+2W) +2W

20=2+4W+2W

18=6W

Divide both sides by 6

W =3

2W+1=L

6+1=L

L=7

Hence, length and width are 7in and 3in respectively

Step-by-step explanation:

Determine which quadrilaterals match the figure parallelogram, rhombus, rectangle, or square? Select all
that apply.
X
W
Z
Given: m 2WXY = 130°,m XWZ = 50°, ZWZY = 130°
A
parallelogram
B.
rectangle
C
square
D
rhombus

Answers

Answer:

(A) Parallelogram is the right answer.

LOOK HERE IF YOU ANSWER CORRECTLY YOU PASS 8th grade



You get a loan for $2500 with a simple interst of 16% for 3 years. How much to you have to pay back?

Answers

Answer:

$3,700

Step-by-step explanation:

16% of 2500=400

400×3(years)=1200

2500+1200=3700

I NEED THIS QUICK HELP!




Pilar bought 2/3 pound of turkey. She ate 1/4 of the turkey that she bought for lunch.

How many pounds of turkey did she eat?

Enter your answer in the box as a fraction in simplest form.

Answers

Answer:

1/6 lbs

Step-by-step explanation:

2                 1                 1

-        X        -        =        -

3                  4                6

Answer: She ate 5/12 of the turkey.

Step-by-step explanation:

First, find a common denominator by multiplying each fraction by the denominator of the other. By doing this, you should get 8/12, and 3/12.

Next, subtract them!

ex: 2/3= 8/12

1/4=3/12

8/12-3/12=5/12

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